diff --git "a/data/dm_maths/full_data_2/2710_11255.jsonl" "b/data/dm_maths/full_data_2/2710_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2710_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 3 divided by 5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:58 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v**4 - 14*v**4 + 19*v**4)*(2*v + 1 - 1).\nAnswer: 58*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1510\/13*m + 184\/13*m**2 + 1328\/13 - 2\/13*m**3.\nAnswer: -2*(m - 83)*(m - 8)*(m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m + 3. Let i(d) = 223*d**2. What is i(x(j))?\nAnswer: 22300*j**2 + 13380*j + 2007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b - 8. Let u(y) = y + 7. Let z be u(b). Suppose 3*n + 0*m + z*m - 234 = 0, 0 = 5*m - 5. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d + 177. Let m be v(3). Solve 56*h = 24*h + m for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18691\/2 + 9346. Suppose 1\/2*k + 0 + g*k**2 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -61\/1007, -5, 6\/5, 0?\nAnswer: -61\/1007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23. Is u > 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38\/607 + 14327\/238551. What is the nearest to -2\/7 in 2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*u - 52 - 17, -2*i + u + 43 = 0. Suppose -i*r = -22*r + 6220. What is r rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 898150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 13*i + 318 = 0. Let p be -1 + -2*(-3)\/6. Suppose 2*j = p, 0*j + j = 2*q - i. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437556 is divided by 9299.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69835*m**2 + 152478*m wrt m.\nAnswer: 139670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8299\/(-1677) - 15\/(-3). Let j(v) be the second derivative of -21\/130*v**5 + 0 + w*v**3 - 18*v - 1\/78*v**4 + 0*v**2. Let j(o) = 0. What is o?\nAnswer: -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 2*m. Let g be p(2). Suppose -7*h = -g*h - 117. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.7. Let t = 0.146 + -0.046. What is the nearest to u in 5, 5\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200 in 4, -16, -2\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 124*t - 124*t**3 - 584\/7 + 596\/7*t**2 - 12\/7*t**4 = 0. Calculate t.\nAnswer: -73, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*5\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*sqrt(175)*1)**2*-3.\nAnswer: -18905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-10)\/4 + 2). Solve 3*u - 7*j + 17 = -y*j, -5*u = -j - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 83*j**2 - 63*j + 187. Calculate p(6).\nAnswer: 2797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2 (c) 0 (d) -1 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21130 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*v = -80, i + 7*v - 4*v = -75. What is the common denominator of 75\/26 and (-265)\/i + (-3 - -3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 + -288. Let g = -1744\/21 - t. Is 1 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02632945549 rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1339809 rounded to three dps?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 3. Let j be z(5). Determine d so that -j + 3*d**3 + 2 - d**2 - 2*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/5))\/(g\/(g\/(g\/(g*g**(-11\/6)*g))))*((g*g\/(g*g**22\/g))\/g)\/g**(-1\/3) assuming g is positive.\nAnswer: g**(-199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -576 - 3496. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 divided by 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let v(a) = -2*a. Let l(q) = q - 2. Let h(m) = 2*m - 3. Let r(g) = -2*h(g) + 3*l(g). Let n(j) = 3*r(j) - 2*v(j). Determine n(c(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 2*o**2 - 1. Determine q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 + 173*y**2 + 256*y + 85 = 0. Calculate y.\nAnswer: -85, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 20 = 5*u + 32, -2*u - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7634640?\nAnswer: 2, 3, 5, 13, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 19*r**2 - 15*r + 34. What is x(18)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.5 - -16. Let p = 150 - 145. Put p, k, -2\/303 in increasing order.\nAnswer: k, -2\/303, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/57 + 80\/3. Solve -v*n = -26*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 14*w + 44. Is 20 a factor of u(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 160909542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20563454 (base 9) to base 4\nAnswer: -211301300011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*d - 491 + 491.\nAnswer: 83*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-116)\/(-8) - (-2)\/4 and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 at most as big as -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*q = -87*q - 7420 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*q = 33 - 799, -2*q - 626 = -4*t. List the prime factors of t.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g - 28. Suppose -3 = f - 11. Suppose 6*k - 16 = f*k. Let t be p(k). Solve 9 = t*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**4 - 29*y**3 + 44*y**2 + 64*y + 4. Let c(l) = 55*l**4 + 320*l**3 - 485*l**2 - 705*l - 45. Let d(g) = 4*c(g) + 45*z(g). Factor d(u).\nAnswer: -5*u*(u - 2)*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/196)\/((-12)\/(-7))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1011 and 9.27?\nAnswer: 9371.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4 = -45*b + 47*b, 5*l + 3*b + 13 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2. Suppose -2*u = -f - f + 32, -5*f + 35 = 4*u. Let a = f - 12. Let t be j(a). Solve t*l = 2*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*u + 21, 2*u = -0 + 2. Suppose o + c = -c + 3, -4*o + i = 4*c. Solve -o*t = -r - 22, -4 + 0 = -2*r - 2*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = 18*v - 34. Let n(r) = -16*r - 28. Let t be n(v). Solve 5*y + 3*c + 15 = 2*y, 0 = -t*y - c - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479152 a multiple of 2192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 11168, 0, 3 in ascending order.\nAnswer: 0, 3, 15, 11168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:24 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 1. Let g(i) = -4*i - 8. Let p(f) = g(f) - 3*x(f). Let v be (-8)\/((-10)\/5) - 1. Let m(l) = 4*l + 3. Give v*p(n) + 5*m(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*z + 35, 4*z = -4*s + 2*z + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7103.\nAnswer: 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 19 = b, 28 = -3*b - 2*u. Let l(h) = 5*h**2 - 8*h - 17. What is the hundreds digit of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6715029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-6))\/((-2)\/(-12)). Suppose 4*b**5 - 2*b**5 - m*b**3 + 15*b + 3*b + 14*b = 0. What is b?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22013248.\nAnswer: 2, 19, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m**3 + 4*m**2 + m - 4. Give x(2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252 (base 6) to base 2.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-222)\/(9*6\/(-66 - 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 + 3*m + 1. Let q(c) be the first derivative of -3*c**4\/4 - c**3 - 7*c**2\/2 - 3*c - 43. What is 3*q(w) + 7*x(w)?\nAnswer: -2*w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557 + 122 - b**2 + 86 + 79 - b**2 - 218.\nAnswer: -2*b**2 - 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*b + 46 = -2*b, -2 = -k - 2*b. Let l be (-45)\/k - (-1)\/(-2). What is the closest to 4\/3 in -4\/7, l, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*o - 4*f, -3*o + 32*f - 34*f - 22 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555 = -22*m + 425. Suppose -m = s - 92. Solve -3*y + 13 = -s*p - 0*y, -5 = -y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Calculate 10324 divided by -178.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6992, -55472, -187064, -443324, -865808, -1496072?\n\"Answer: -6926*d**3 + 2*d - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1000101110101 (base 2) to base 12\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 4*t**2 - 3*t. Let q(a) = 5*a**3 + 7*a**2 + 5*a. What is -5*j(i) - 3*q(i)?\nAnswer: -5*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*c*q**2 - 2*c*q + 198*c - 2*q**2 wrt q.\nAnswer: -32*c*q - 2*c - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136405364 and 4808?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 241491242.3 to the nearest ten thousand.\nAnswer: 241490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*a + 21 + 73, -5*a = -16*y + 18*y + 81 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*x**2\/10 - 13*x - 748\/5.\nAnswer: (x + 4)*(61*x - 374)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 2*w, -4*w - 3*j + 28 = 2*j. Let s = 111 + -107. What is the greatest common divisor of w and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*q - 14*q - 588 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48609 (base 12) to base 6.\nAnswer: -2032013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 571? (a) 10 (b) -8 (c) -0.02 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112010020001 (base 3) in base 9?\nAnswer: 463201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 19*x + 5*x)*(-11*x**4 - 46*x**2 + 19*x**2 + 27*x**2).\nAnswer: 154*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010 - -101100000111001111?\nAnswer: 101100000101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/5 + 1312*a**2\/5 - 526*a + 1316\/5 = 0.\nAnswer: -658, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 185b0b?\nAnswer: 185b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 479 - 127. What is the highest common divisor of 32 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*u - 21, -2*u + 16 = q - 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) 6 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:43 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**3*s**2 - 42*k**3*s + k*s**2 - k*s + 5*s**2 - 16*s wrt k.\nAnswer: -96*k*s**2 - 252*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d**3 - 2 + 2)*(2*d + d - d) - 117*d**3 + 17*d**4 + 117*d**3)*(-7*d + 2*d + 3*d)*(55 - 28 - 61) + 4*d - 4*d + d**5.\nAnswer: 885*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 240.3\nAnswer: -240.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-1\/20)\/t)\/t)\/t)\/(t*t\/t**(-20)))\/((t\/(t*t**18)*t)\/(t**(2\/61)*t)))**(-1\/2) assuming t is positive.\nAnswer: t**(8561\/2440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-8))\/((143\/(-2068))\/13). Suppose -5*o - x = 4*x + 1650, 0 = -3*o + x - 982. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 60. What is the lowest common multiple of u and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 + 27*x - 95. What is the remainder when k(11) is divided by 161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 3*j + (6 - 2 - 3)*(-3*j + 2*j + 2*j))*(j + 3*j - 2*j - 4*j + 0*j + 6*j + (0 + 0 - j)*(-2 - 2 + 3) + 2*j + 2*j - 3*j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 4*u**3 + 5*u**3 - 3*u**3 - 2. Suppose 130*l - 205 = 55. Determine n(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 6*u**2 + 13*u - 27. Let g be h(7). Suppose 0 = 2*f - 0 - 2. What is the units digit of (g\/(-30))\/(f\/(-110))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14135 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*b - 84 = -50*b. Let s = -49\/82 - 4545\/902. Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1433 (b) -0.21 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209262 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 1*(-2 - (-2079)\/7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 153, 0.4, -0.5, 5 in descending order.\nAnswer: 153, 5, 0.4, 0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2*p - 1)*(-111 - 6908 + 212 - 2202).\nAnswer: 18018*p - 27027","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4215 - -723586\nAnswer: 719371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 16. Let t be m(7). Solve 5*q - t*q + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 2. Let f(a) = 7*a**2 + 5. Let v(l) = -4*f(l) - 10*y(l). Let m(k) = 121*k**2 - 65*k**2 - 82*k**2. What is v(m(w))?\nAnswer: 1352*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 1904, 6383, 15106, 29489?\nAnswer: 50948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -31568?\nAnswer: 17\/15784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/243 or 0?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 865696 divided by 52?\nAnswer: 16648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5 + (1 - 12) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28937?\nAnswer: 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 34. Calculate the remainder when (-1022)\/(-18) - 2\/(-9) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92201 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(270) - 1*sqrt(270))\/sqrt(5))\/sqrt(9))\/(sqrt(363)*1*-5)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2455 = 319*s + 8516 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 8 + -4 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/3 - 892*x**3\/3 - 298*x**2 = 0.\nAnswer: -1, 0, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54\/35 - -708\/595. Which is the biggest value? (a) 2\/9 (b) -4\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4572 divided by 425.\nAnswer: 4572\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*q - 246 = 0, -3*l - l - 2*q = -1026. Suppose -l = -10*i + 7*i. Let y = 123 - i. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34695363.\nAnswer: 3, 59, 211, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -4)\/(-1 + -1). Suppose g*j = -j + 3. Let i be (-8)\/14 + (4 - j). What is the second biggest value in i, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -5.84. Let b = -4 + o. Let p = -1 + b. Round p to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311278.\nAnswer: 2, 11, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 252.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161\/1527 - 172465\/433668. Find the common denominator of f and -29\/5.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 - 19 + 37 - 19 + 3*n**3 + 390*n**4 in the form q + o*n**2 + r*n**4 + b*n**3 + p*n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 23*r**3 + 3*r**2 - r - 1. Let q be u(1). Let f(k) = -k**2 - 2*k + 6. Let s be f(-4). Is 12 a factor of (-445)\/s - 12\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.491 - -0.191. What is the second biggest value in w, -26, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:43 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17885718 = -21*o + 3*p, 90*o - 95*o = -5*p - 4258530. Round o to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*r + 32*r + 5. Put -3, 3, 2, r in decreasing order.\nAnswer: 3, 2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72445541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.109 and 0.316.\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*q - 25659 = 0, 5*s - 41*q - 42778 = -40*q. Calculate the highest common divisor of s and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(3 + -2))\/2 + 3. Let i(j) = j + 4. Let a be i(p). Suppose -a*r + 12*r = 675. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 102*d**3 + 15 - 24 - 7.\nAnswer: 102*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -28\/9 (c) -0.2 (d) 1 (e) 82\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446850 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350.96 + -351. Let o = 3 - 4. Which is the second biggest value? (a) n (b) o (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145789*l**4 + 2330*l**2 + 8*l - 2 wrt l.\nAnswer: 3498936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153404331 (base 6) to base 16.\nAnswer: -319c9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159561587?\nAnswer: 159561587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 4. Let s be n(0). Let m(f) = -f - 6. Let d be m(s). What is the smallest value in 1, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15. Suppose 10*l - 6*l = y. Suppose l = -3*f + 26 + 19. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(3)) - (sqrt(17) + 2 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 1)*(-i**5 - 2*i**4 + 2*i**4).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -0.3 (c) 0.63 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5264.034 and 30.06?\nAnswer: 5233.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 4*q - 250. Let x be f(-14). Let m(s) be the second derivative of 3\/20*s**5 + 27\/2*s**x + 16*s + 0 - 5\/4*s**4 + 3\/2*s**3. Factor m(i).\nAnswer: 3*(i - 3)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 7*c - 2*c**2 + c**2 - 7 - 3*c**2. Let i be b(-5). Suppose -i*h = h - 16. Solve h*q = -2*m, 3 = -2*m - 5*q + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(6))\/sqrt(8) + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q - 440*q**3 - 39*q - 80*q**4 - 525*q**2 - 135*q.\nAnswer: -5*q*(q + 4)*(4*q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55609586*a**3 - 24*a**2 - 4547*a - 253.\nAnswer: 333657516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s. Suppose -4*p - 2*y + 12 = s, 10*y - 5*y + 12 = 4*p. Solve 2*f - 7*f - 3*d = -5, 2 = 2*f - p*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 6 (c) -140 (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.07 (b) -2\/9 (c) 103 (d) 16.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30591797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -0.2, -3, -0.3 in increasing order.\nAnswer: -3, -2, -0.3, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/7 - 79*t**2\/7 + 590*t\/7 - 1032\/7 = 0. Calculate t.\nAnswer: -86, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58405, -116810, -175215, -233620?\n\"Answer: -58405*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Find the third derivative of 3*a**3 + 4*a**3 + 3*a**2 - a**3 - r*a**3 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 5*y - 3*y)*(-6 - 14 + 6) + 2 + 2 - 3 + 3*y to d*y + l and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/10, -3\/4 in increasing order.\nAnswer: -3\/4, 1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18537978731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 12, -13, -38?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551390 is divided by 1778.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 - 3*q. Let v(k) = -2*k. What is v(f(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -36388923.\nAnswer: -18194461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -h - 34 + 21, -5*m - 5*h - 30 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/7 + 5 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/8*(4 - 5)). Solve 2*v = s, -3*s = -q*v + 3 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01914349 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(-5 + ((sqrt(112) + 1 + sqrt(112))*5 - (-3 + 2*sqrt(112)))) + -2))**2.\nAnswer: 1024*sqrt(7) + 114704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 1, b: 1, r: 4, t: 2}. Give prob of sequence ttl.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 79860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12740.39 times -4\nAnswer: -50961.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1276849 by 182407.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1096)\/(-112) - 10)*(48\/(-18) + 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 485 - 320. Let v = -201.5 + p. Let n = 36 + v. Which is the closest to n? (a) -3 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 - -60. Let c = 113 - 52. Let f = c - z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = -11*l + 86773 + 135032. Is 36 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3174 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - 2*a**2 + 3*a + 77. Let q(d) = -5*d**3 - 3*d**2 + 4*d + 79. What is 3*i(x) - 2*q(x)?\nAnswer: -2*x**3 + x + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 - (3 + (7 - 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 230.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154038\/11 + 14004. Factor 30\/11*n**2 - j*n**3 - 48\/11*n + 24\/11.\nAnswer: -6*(n - 2)**2*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 31*p + 52. Let b(x) = -2*x**2 + 92*x + 149. Let f(k) = -k**2 - 25*k - 115. Let s be f(-7). Let d(w) = s*n(w) - 4*b(w). Factor d(h).\nAnswer: -3*(h + 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1209, 2275, 3341, 4407, 5473?\n\"Answer: 1066*k + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -25509.25?\nAnswer: -4336.5725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/7 (b) 0 (c) -2 (d) 1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 74 + 6 = 0. Suppose -4*c - 20 = -a*g, c = 4*g + 2*c - 35. Calculate the remainder when 13 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2768 - 44265\/16. Find the common denominator of -113\/36 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -28*p - h - 15, -9 = 3*p + 3*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Calculate the remainder when 50 is divided by d(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 163*l - 159*l - 3*i, -4*l - 3*i - 40 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j - 2*t = 0, 2*j + 4*t + 8 = 0. Suppose 4*f - 95 + 15 = -5*w, -4*f + 20 = 0. Calculate the least common multiple of w and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let t(o) = -14*o + 1. Let l(a) = -3*q(a) + t(a). Suppose 262 = 98*b - 366 + 40. Let u(v) = v. Determine b*u(m) + l(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6499*j**2 + 2*j - 3788*j**2 + 52*j**2 + 4*j - 6*j.\nAnswer: -10235*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071153 divided by 5?\nAnswer: -4071153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195615639.\nAnswer: 3, 953, 22807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 22550 = -7*u. What is the derivative of -u*w**3 - 12*w**4 - 4*w**2 + 325 - 68 + 1025*w**3 - 3*w**2 wrt w?\nAnswer: -48*w**3 - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/105 - ((-11)\/(-5) - 2). Which is bigger: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4612*t + 3*t**2 + 4612*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 140*q**2 - 3050*q - 466. Give h(22).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/3 - 19\/((-114)\/(-24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 less than 3938.3?\nAnswer: 3695.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -168*o**2 - 2*o + 3. Let d be w(-2). Let f = -303 - d. What are the prime factors of f?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 51040155?\nAnswer: 51040050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167713.428 rounded to the nearest one thousand?\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 70. Suppose -4*v - 390 = x*v. Is ((-2)\/(v\/(-115)))\/((-2)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2664375, -10657513, -23979409, -42630063, -66609475, -95917645?\n\"Answer: -2664379*b**2 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqj when three letters picked without replacement from {x: 3, z: 2, q: 1, j: 2, f: 10, t: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*g**2*u + 2*g**2*x - 3*g*u*x - u*x - 82*u wrt g?\nAnswer: -124*g*u + 4*g*x - 3*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160952 and 969606?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 202 = -478 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.17839 minutes in weeks?\nAnswer: 0.0025970625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 26. What is the remainder when t is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35215330 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c + 17*c - 422*c**2 - 8*c - 4. Let q be k(-4). What is q rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2. Let q(o) = -21*o**2 - 2*o. Determine b(q(i)).\nAnswer: 1764*i**4 + 336*i**3 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-5*(4 - (-888)\/(-220))). Suppose 5*p + 12 = 3*v + 49, q = 2*p - 3*v. What is the smallest common multiple of ((-15)\/9)\/((-3)\/9) and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1 - 2 - -3). Suppose y = -u - 2*u. Suppose -2*o + 25 = -2*v - 19, u = -3*o + v + 68. What is the smallest common multiple of o and 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6814 times -3\nAnswer: -20442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.18 - -0.18. Is f != -26\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 = 7*k - 6*k, -4*k + y = -18. Suppose 107 + 148 = k*a. Suppose -6*s + 2*s + 68 = 0. What is the highest common factor of s and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in -3764, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 41. Let s be y(9). Suppose -a = -s*k - 0*k + 1463, -4*k + 2*a = -1458. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26381629 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 34. Let m be 2*v\/(-12)*9. Sort 1, m, -3.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*p - 5*p. Let c be 39\/p + 3\/(-18). Let o be -1 - (1 - (4 + c)). Solve -3*b + o - 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5\/8 - 3*b**4\/8 + b**3\/4 + 3*b**2\/4 - b\/8 - 3\/8 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 120. Let v = 103 - h. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 505*o**3 + 12215*o**2 - 41565*o - 728280.\nAnswer: 5*(o - 8)*(o + 7)*(o + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*f**2 - 52*f**2 + 48*f**2 + (-f + 2*f - 2*f)*(-7 - f + 7) - 3*f + 3*f - 2*f**2.\nAnswer: -115*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28 times -402902?\nAnswer: -515714.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 70506, -5, 3 in descending order.\nAnswer: 70506, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4130, -1349, 1432, 4213, 6994?\n\"Answer: 2781*r - 6911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 + 5 + 5 - -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1398, -1083, -768, -453?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - (62 - 40)) + 27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 96608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*r + 10*r. Let h = r + -2. Find the second derivative of 3*n**3 + 4*n**h - n - 4*n**3 - 6*n**3 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 k when four letters picked without replacement from ckkckykkcckykcwkkkk?\nAnswer: 275\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/4 - 11*n**3 + 54*n**2 + 3159. Find w, given that q(w) = 0.\nAnswer: -36, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -84. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68499 and -68497 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 450169 divided by -1779?\nAnswer: -450169\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -377, -378, -379, -380, -381?\n\"Answer: -l - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/8, -10, -3\/4, -31\/4 in decreasing order.\nAnswer: 4, -1\/8, -3\/4, -31\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*4*(-5)\/((-40)\/(-28)). Let j(x) = -2*x + 32. Let a be j(u). Is -986*(-1)\/2*(-3 + a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16188313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*w**5 + 6543*j**2*w**2 - 2*j**2*w + 347*j*w**2 - 25152791*w**5 - 2*w**2 wrt w.\nAnswer: 60*j**2*w**2 - 1509167460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.35 - 15. Let g = -633 + 634.35. Let m = i - g. What is the nearest to 2 in 0.02, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -69941.66.\nAnswer: -69941.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 4. Let h be (-2)\/4 + 9\/(-2). Let z(w) be the first derivative of w**2 - 3*w - 15. Let u be ((-1)\/(-3) - -2)*-3. Give h*f(g) + u*z(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -440352772\nAnswer: 440352773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005636891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16644\/52 + 3\/(-39)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 142.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*f**4 + 81*c*f*m + 2*c*m + 8*f**4 + 2*f**3*m - 2*m wrt f?\nAnswer: -36*c*f**2 + 96*f**2 + 12*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1242538 divided by -5\nAnswer: 1242538\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i**2 + 82*i - 82*i - i**2. Let j(n) = -17*n**2. Determine a(j(b)).\nAnswer: -289*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96527, 193063, 289599?\nAnswer: 386135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 2*t**2 + t + 2. Let y(h) = -h**3 - 137*h**2 - 136*h + 8. Let b(x) = 4*v(x) - y(x). Factor b(q).\nAnswer: 5*q*(q + 1)*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3686*q**3*v**5 + 2106*q**3*v**2 wrt v.\nAnswer: -221160*q**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*f = z + 2*z + 2548, 4*f + 3*z = 6*f - 7*f - 35 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (1 - -4)) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 308 = 50. Let q = o - 24. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-4\/7))\/w)\/w**(-13)*(w**(2\/5)\/w)**(-31))**41 assuming w is positive.\nAnswer: w**(44526\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 2, z: 7}. What is prob of picking 1 p and 3 z?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*g + 24 - 47 = 0, 0 = -2*f - g + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 34008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 1\/300*b**5 - 2*b**2 + 0*b + 4 + 0*b**4 - 1\/30*b**3. Factor g(u).\nAnswer: (u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 56*x**2 - 62*x + 131. Let q be v(29). Solve 0 = -3*h - 4*w - 20, 4*h - w = 2*w + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.023172, 4, 3\/25, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17641, 17642, 17647, 17656, 17669?\n\"Answer: 2*n**2 - 5*n + 17644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 274896 and 120.\nAnswer: 1374480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/48496 and -55\/1062582.\nAnswer: 59504592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f*(f*f*f**(-1))\/f)\/(f**(-2\/25)*f**(-1\/7)) assuming f is positive.\nAnswer: f**(39\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m + 46. Suppose 5*o - 25 = q, 6*o = 4*q + 2*o + 20. Suppose -2*a - 2*a + 64 = q. What is the least common multiple of m and a?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2674 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8913 + 11766. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 2*f + 2. Let p(w) = -2*w - 3. Let z be p(-2). Let a be (-4)\/6*(-2 - z). Let y(g) = g - 4 - 7*g**a - 6*g + 9. Determine -5*c(o) + 2*y(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 4\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 100 (b) 375 (c) 0.9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -3. Let y = -0.6 - w. Let c = -204894 + 204903. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677.2466l to millilitres.\nAnswer: 677246.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 118.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xin when three letters picked without replacement from fijxnjx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/(1\/5). Suppose -g - j - 4 = 0. Which is smaller: -9 or g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-58)\/(-290))\/(1\/10). Let y(g) be the first derivative of 0*g**3 + 13 - 23\/2*g**b + 0*g + 21\/4*g**4. What is the second derivative of y(j) wrt j?\nAnswer: 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(931)*3 + -2 + sqrt(931))**2 + sqrt(931) + (sqrt(931) + sqrt(931)*-1)*-2.\nAnswer: -105*sqrt(19) + 14899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1152.927mg?\nAnswer: 1152927000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-184)\/(-414))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 3*w - w + 9*w - 6 + 6 - 6 + 2*w + 6 + (w + 2*w - 4*w)*(-6 + 5 - 1) + 4*w - 2*w + 0*w + 4*w - w - 5*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9. Let v = 0 - 214.5. Let c = 214 + v. What is the nearest to o in -0.2, c, -2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32391676 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 (base 7) in base 2?\nAnswer: -111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12488371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 g when three letters picked without replacement from {z: 2, g: 4, r: 5, h: 1, e: 1, n: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, 16, 78, 198, 394, 684, 1086?\n\"Answer: 3*n**3 + 2*n**2 - 5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, j: 2, s: 1, i: 1, c: 7}. What is prob of picking 3 c and 1 s?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Let y = z + -6. Let l(u) = u**3 + 3*u**2 - 2*u + 2. Calculate the remainder when 23 is divided by l(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83923733 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174828539.\nAnswer: 131, 1334569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:22 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24585.33 years in decades?\nAnswer: 2458.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 2, k: 2, x: 1, m: 1}. Give prob of sequence kmg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:27 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvojnvnnnvjvvnnjn. What is prob of sequence vv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*1 + (sqrt(77) - -3*2*sqrt(77) - sqrt(77)) + sqrt(77))\/(-4*sqrt(84)\/(sqrt(24)\/sqrt(2))).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**3 + 381*x + 1397.\nAnswer: 3*x**2 + 381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*w + 2*w - 16, w = i - 16. Let t(y) = -y + 10. What is the remainder when i - (0 - (-1)\/1) is divided by t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/6 + 4*m**2 + 10. Let i(b) = 2*b**2 + 3. What is w(i(g))?\nAnswer: 8*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2074 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1059 + 1084. Suppose -11 = -3*a + o. Suppose -2*z + 76 = -0*z. Calculate the remainder when z is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -36 (b) -4 (c) -26 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3102 + -4445. Which is smaller: 2\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 90698 = -5*v + 44303, 3*b = 4*v - 108003. Round v to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epe when three letters picked without replacement from {h: 12, p: 1, e: 6}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -5*o + 3*y + 35, 4*o - 3*y = 31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-7))\/((-1)\/3). Let f = p - 8\/7. Which is the third smallest value? (a) 2\/7 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-3) + (-10 - -9))*18. Find the third derivative of 33*y**2 + 34*y**2 - 24*y**g - 81*y**2 wrt y.\nAnswer: -2880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, 0.3, 0.5, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 6 + 6 + -19 + 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1849\/6 + 309. Let p = 10 + -15. Let f be (-1)\/(1\/((-2)\/p)). What is the nearest to -0.1 in 0, k, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70946 and 35473.\nAnswer: 70946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18418884383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-18)\/2*(-2416)\/(-1812)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54167702?\nAnswer: 2, 43, 629857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 1136, 778, 258?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5268498 to the power of 1\/2, to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {m: 4, h: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 + -83. Suppose -8*q = -2*q - z. Calculate the lowest common multiple of 39 and q.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20603 + 11?\nAnswer: -20582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 0. Let d be i + 5 - (0 - -1). Let g(q) = 2076*q - 4. Let h be g(d). Round h to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*m + 8057, 15*m - 11*m - 16093 = -3*s. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3 - 9. Suppose -5*q = 4*q - 27. Suppose q*a - 7 = -n. Solve 0*d + a = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57 times 18?\nAnswer: 10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 2546b?\nAnswer: -2546b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2019 (b) -3 (c) -0.1 (d) -1\/12 (e) 11\/7 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.7 - 0.7. Put z, 0, 1 in decreasing order.\nAnswer: z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 99. Suppose -4*z - 5*j = -4*j + x, j - 4 = 0. Let t(k) = 13*k**2 + 8. Is t(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.06213735\nAnswer: 0.31068675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*u - 3*l, 9 + 7 = -u - 4*l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -12*t**2 + 231000153*t + 57750039 = 0.\nAnswer: -1\/4, 19250013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -996 - -19577223\nAnswer: 19576227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14313 = -20*f + 16427. Suppose 15*u + 14*u - f = 0. What is the remainder when 209 is divided by u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1567944 and 162.\nAnswer: 4703832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 21 - 9 = -5*b, 0 = -3*v + 2*b - 18. Let k be (v\/(-4))\/(-3 + 1). Suppose -18*g = -22*g - 4. What is the biggest value in g, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4294901, 8589800, 12884699?\n\"Answer: 4294899*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4710 and 355448?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 163493.1 micrograms?\nAnswer: 0.0000001634931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 22*d - 8*d. Solve d = k + 3*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 4*m + 9. Let x(l) = -l**2 + 2*l - 5. Let k(f) = 4*s(f) + 7*x(f). Let v be k(1). Calculate the greatest common divisor of 28 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 12. Let j = z - -3. Does 10 divide 1*j\/4*-28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 4, s: 2, w: 3}. What is prob of sequence nus?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29171838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 38*c**2 - 53*c + 32. Determine x(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3 - 1 + 0 - 6*d + d**2. What is the units digit of n(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14160 (base 9) to base 7.\nAnswer: -40011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**6\/2 - t**2\/2 - 5. What is the second derivative of r(y) wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t. Suppose -11*f + 12*f = 3. Suppose -5*q + 11 = u, -q = 2*u - 0*u - 4. Let v(k) = 2*k**q + 1 + 2 - f. What is v(p(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-1\/6)\/((r\/((r\/r**8)\/r)*r*r)\/(r\/(((((r\/(r**(-4)*r))\/r)\/r)\/r)\/r)*r)))**(-2\/79) assuming r is positive.\nAnswer: r**(55\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, p: 7, a: 2, k: 7}. What is prob of picking 1 k, 1 p, and 1 a?\nAnswer: 49\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 2.99. Let d be (14 - 13)\/((-8)\/(-2)). Which is the nearest to d? (a) f (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -17 - (-2 - (-32 - -34))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-314*w - 264*w + 494*w)*(2*w**4 - 4 + 4).\nAnswer: -168*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 16. Let y be h(10). Suppose 2*f + y = 0, 2*k - 52 = -4*f + 26. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 8*m**2 - 9*m + 4. Let o be k(-9). Suppose -b = -4, 5*i + o*b = -23 + 74. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*a + 23. Suppose -2*l - l = -5*j + 14, 2*j + 2 = 5*l. Let r(z) = l*z - 1 - z**2 + 4 + 2*z. Determine r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + 37ee?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 40*b**2 - 54*b - 52. Give y(-21).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + 20 - -22) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*c + 3*c + 51 = 0, 2*c = 10. Let o(q) be the third derivative of q**3\/6 + 7846*q**2. Let r(u) = -3*u**2 + 33. Determine v*o(m) - 2*r(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 29. Let b = 4 - 6. What is the nearest to -0.2 in -1\/3, b, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyyiiaaixaaoioyyi. What is prob of sequence iy?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 + 275.5. Which is the nearest to 0? (a) -0.2 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 0, 0 = 4*w - 5*i + i - 12. What is the remainder when 153 is divided by (-2)\/((5\/w)\/(-7))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 5460951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbuz when four letters picked without replacement from {b: 1, m: 5, z: 2, u: 2, p: 1, j: 4}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1887 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17252.88219 + -17253. Let u = z - -0.124. What is u rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (63\/15)\/1*5. Suppose -3*v = 2*t + v + 6, 4*t - z = 3*v. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 342*x - 296*x. Let w(u) = -u - 4. Let p be w(-7). Suppose -133 + 43 = -p*d. What is the remainder when d is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-21)*9*((-4)\/(-18) - 12\/(-27))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -6 - (4 - 19 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -3, -24, -3675.\nAnswer: -3675, -47, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21891, -87612, -197147, -350496, -547659, -788636, -1073427?\n\"Answer: -21907*b**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:39 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/11))\/(g\/g**5)*g**(-6)\/g**4)\/((g*g\/g**(-1)*g*g*g)**14*(g*g*g**2)\/(g\/g**(-3))) assuming g is positive.\nAnswer: g**(-966\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5\/3 - 15*c**4\/2 + 10*c**3 - 25*c**2\/6.\nAnswer: 5*c**2*(c - 1)**2*(2*c - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6225072 divided by -4011.\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**5\/40 - 53*m**4\/32 + 27*m**3\/8 + m**2. Suppose n(x) = 0. Calculate x.\nAnswer: -27, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u - 12*u + 26*u + 6 - 44 + 44.\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -21*o**4\/2 - 732*o**3 - 903*o**2\/2 + 4536*o - 1242 = 0.\nAnswer: -69, -3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - ((-40 - (-31 - 6)) + (67 - -1))) + -2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4395 + -4395. Let q(k) be the first derivative of -k**3\/3 + k**2\/2 + 9*k + 1. What is q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109626 - 109626 - 13*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.84449 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Let j(d) = 2*d**2 - 4*d + 3. Let t be j(p). Let i = 208 + t. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/10))**30\/(s**25*s\/(s*(s\/(s**(-1\/43)*s))\/s)))**(1\/8) assuming s is positive.\nAnswer: s**(-247\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 6796, 14, -5 in decreasing order.\nAnswer: 6796, 14, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + 21*x**2 + 11*x + 14. Suppose 109*j - 130*j = 210. What is g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjtttkjjkjjk. What is prob of sequence jk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -548 + 544. Let h(u) = -672*u + 73. Is h(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 12*b**2 + b - 3. Give s(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1. Let h(d) = 16*d + 32. What is -h(u) - 32*q(u)?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13131 - 10?\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 plus 0.2?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/286*6734\/(-56).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -5, -3\/5, 446, -0.2, -4 in increasing order.\nAnswer: -5, -4, -3\/2, -3\/5, -0.2, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a week?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1437 - -1437. Solve w = -4*b - 1 - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 0*b**4 + 3*b**4 + (3 - 3 + 2)*(4*b - 16*b - 3*b)*(5 - 3 - b**3 + 1) as u*b**2 + d + i*b**3 + r*b + n*b**4 and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1754 - 1754. Which is the closest to 1? (a) s (b) -1\/7 (c) -4 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*0 + 4. Suppose 0 = 3*v - o*g - 30, 2*v - 2*g = 4*v - 6. Suppose v*k + 24 = 7*k. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184975000 rounded to the nearest one million?\nAnswer: -185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -0*u - 13*c + 48 + 244, -4*u - 4*c = -112 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*8\/4*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 3*p + 93. Suppose 0 = 2*h - 767 + 283. Let o = p + h. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/329, -0.34, 5\/4, 2\/13 in decreasing order.\nAnswer: 5\/4, 2\/13, 1\/329, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let o(s) = 10101*s**2. What is w(o(x))?\nAnswer: 20202*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 4, c: 1, t: 2, o: 7, a: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 6. Let q = 1 + k. Let f = -123799 + 123799. Is q less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 10*m + 128. Give t(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 478501, 478503, 478505, 478507, 478509?\n\"Answer: 2*z + 478499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100 + 17 + -28 - 45\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.4, 6\/1043, 5, 8 in decreasing order.\nAnswer: 8, 5, 1.4, 6\/1043, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(((p\/p**(-42)*p)\/p*p)\/p*p)*p**(3\/5)\/p*((p**(21\/5)*p)\/p)\/p**38)**(8\/15) assuming p is positive.\nAnswer: p**(-1016\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1539033 - 423333\nAnswer: -1962366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven halves of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zrrrzzrzzrrzz.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55775503.\nAnswer: 7, 163, 48883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h - 5. Let f be (-5 - -2) + 21\/3. Let v(j) = -j + 1. Let x(y) = f*v(y) + o(y). What is the tens digit of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023318958 to the power of 1\/2, to the nearest integer?\nAnswer: 63430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 61*o + 258. Let k be m(-4). Solve 10*a + k = 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/2)\/(2\/(-28)). Let r be 2*(1 - (-430)\/c). Let t = r - 33. Put t, 0.2, -0.3 in descending order.\nAnswer: 0.2, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-6) + (-7)\/(-21). Let y be ((-4)\/22 - 1140\/(-220)) + -5. Factor -2\/7*v**m + 0*v - 2\/7*v**3 + y.\nAnswer: -2*v**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/((-8)\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455 divided by -3?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 3*v + v - 7*v as b + h*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/19 + 3558278*f\/19 - 103191744\/19 = 0.\nAnswer: -1779168, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = 10*t. Which is greater: t or -2\/647?\nAnswer: -2\/647","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c + c)*(13*c**2 + 158*c - 158*c) - 2*c**3 + 7*c**3 - 2*c**3 - c**3 - 3*c + 6*c**3 - 3*c**3.\nAnswer: 57*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-3))\/((-195)\/156)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -41?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - s - s)*(145 + 207 - 444).\nAnswer: 736*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/11 + 4*p**4\/11 + 16*p**3\/11 + 4*p**2\/11 - 14*p\/11 - 8\/11 = 0 for p.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56620394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/2)\/(9\/276) is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3769 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -178.235 and -10.09.\nAnswer: 1798.39115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*o**2 + 384*o**2 + 399*o**2 + 402*o**2 - 1583*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 22 = -5*h, 7*c - 8*c + 9*c + 7*c + 6*c = 42 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(-11)*(s**(-5)\/s)\/s**(2\/5))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10584 is divided by 10492.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133271?\nAnswer: 133271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/(-8) + 2\/4. Let b = -5 + f. Sort b, -3, 4 in descending order.\nAnswer: b, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 1. Let n be q(5). Let w be n\/45*(-18)\/(-4). Which is the second smallest value? (a) -1 (b) w (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 12*f - 7. What is l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7605 and 3510.\nAnswer: 45630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from leleeleexxlxllllxll?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 12:39 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 19. Suppose 2*u + 6 = -3*m, -m - 4*u + 32 = -6*m. Give i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/213 + -1399\/171678. Is s smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 y when three letters picked without replacement from {t: 1, r: 2, f: 4, y: 1, i: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3253 - -3243. What is the third biggest value in -0.3, k, 6, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 18 + 16 - 1 + 0 - 1 + (3 + 1 - 5)*(3 - 3 + 2))*(-1 + 1 - l).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42818912 divided by 1696.\nAnswer: -25247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 15. Let y(z) = z**2 - 5*z - 1. Let g be y(q). Let r be (30\/4)\/3*(12 + -10). Solve -3 - 37 = 5*k - 4*h, 0 = g*k - r*h + 45 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 63 = 5*z, -3*z + 116287*y + 35 = 116283*y for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let i(q) be the third derivative of 13*q**4\/4 - 30*q**2. What is u(i(y))?\nAnswer: 12168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4476*s**4 - s**3 - 2*s**2 - 3*s - 2?\nAnswer: -107424*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 10*w. Which is the smallest value? (a) w (b) -2\/11 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -1\/2, -450\/13, 0.5, 3, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -855 times 8\nAnswer: -6840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6197169 and 1639?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 33*q**2 - 69*q - 103. Calculate y(13).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f + 2. Let m(p) = -21*p - 9. Let x be 45\/2*(-20)\/25. Let r(i) = x*y(i) - 4*m(i). Let z(u) = u**2 - 2*u**2 + 0*u**2. What is z(r(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/4 + 35*z**3 - 71*z**2\/2 - 35*z + 141\/4.\nAnswer: (z - 1)**2*(z + 1)*(z + 141)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:26 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 4*g - 41 = 0, 37*g + 15 = 5*u + 33*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:53 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b. Let l(v) be the third derivative of v**5\/10 - v**4\/6 + 9*v**2. Let n(m) = -l(m) + p(m). Solve n(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -16*o - 203 - 232. Let h(x) = -x - 23. Determine h(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84904 divided by -4.\nAnswer: -21226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0, -5, -3\/5, -110\/603, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*c - 14. Suppose -2*h = c*w - 23, -2*h = -4*w + 22 - 0. Solve w = -8*o + 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 + 4. Let u be q(0). Suppose -u*c + 6*c = 20. Let w be c\/(-8) + 21\/(-28). Let a(o) = o**3 + o**2 - 3*o - 1. Determine a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -12, 1, 0 in ascending order.\nAnswer: -38, -12, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/107 (b) 4\/3 (c) -3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5875690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17365, 17295, 17211, 17113?\n\"Answer: -7*o**2 - 49*o + 17421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n + 44. Let r be j(4). Let u(m) = 2*m + 7. Determine u(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:55 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 8) to base 5\nAnswer: -10044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251486, 1005863, 2263158, 4023371, 6286502, 9052551?\nAnswer: 12321518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - -0.94. Suppose 3*x - 4*g = -g + 48, 2*x - 3*g - 36 = 0. Let m be ((-1)\/5)\/(x\/(-10)). Which is the nearest to r? (a) -5 (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-5) - ((-6)\/(-15) + 0). Which is smaller: 57\/13 or r?\nAnswer: 57\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(310\/30 - 10). Let x = -7 + 4. List the prime factors of b\/(-24)*x*(-84)\/9.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.23611938 rounded to 2 dps?\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 913 divide 1075514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g**3 + 1 + 4*g**2 + 1 - 22*g**3 as w*g**2 + k + a*g**3 + o*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 9*z + 2. Let l be s(9). Solve l*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/8)*d\/((d**(-3\/2)*d)\/d))**(-36))**(-44) assuming d is positive.\nAnswer: d**2970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + 53. Let g = -138 + q. Let b = g + 62.953. What is b rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 60 = 14. Let n(m) = -m + 5. Let s be n(3). Suppose o = s*p - 47. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 5. Let x be d(-7). Find the first derivative of 3*t**2 + 0 + 3 - x*t**2 wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22319 + -0.1.\nAnswer: -22319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 36, 55, 74, 93?\n\"Answer: 19*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.547009 to 3 decimal places.\nAnswer: 9.547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-7)\/(7\/2). Let t(u) = u**2 + u - 3. Let s be t(l). Solve -12 = -3*p, 11 = -s*b + 2*p + 3*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -69, 1456.5, 0.04?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001111 (base 2) to base 16.\nAnswer: -cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 16*q - 3*q. Let v be 5 + 2 + -2*2. Let n = v - -5. Calculate the lowest common multiple of n and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/508 and -45\/1426972.\nAnswer: 1426972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0 - 4. Let t(u) = -5*u + 22. Let s(f) = -f + 1. Let g(h) = -6*s(h) + t(h). Calculate the lowest common multiple of g(-8) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8234 bigger than 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 588, 598, 614, 636, 664, 698, 738?\n\"Answer: 3*w**2 + w + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16748 is divided by 1531?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 13 + 3. Calculate the smallest common multiple of m and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 13) in base 4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - n + 8, -1 = -t + 2*n - 4*n. Suppose 0 = -3*c - m - t*m + 18, 4*m - 12 = 0. Solve -c*x - 10 = 2*r, -4*x - 4*r = -x + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 7) in base 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -71, 15, 0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -965.48?\nAnswer: 965.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/6 - 4*f - 3. Let s(g) be the first derivative of o(g). Let z(q) = -29 + 38 - 9 - 14*q**2. Calculate z(s(x)).\nAnswer: -56*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -561*f - 8953. Determine j(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46b - 29cae?\nAnswer: -2a22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 21*d - 2160. Suppose 4*b = -4*w + 784, 2*b = -3*w + d + 503. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 17*r**3\/3 + 14*r - 3395. Let z(a) = -3*a. Determine z(h(u)).\nAnswer: -51*u**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5160 rounded to the nearest 100?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1695066 and 134.\nAnswer: -227138844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = z - 4*m, 5*z - 636 = -14*m + 12*m. Suppose -6*s**2 + z*s - 2*s**3 - 126*s + 1 + 7 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -37*n**2 + 203*n + 84. Let o(q) = -35*q**2 + 205*q + 85. Let w(v) = -5*l(v) + 6*o(v). Factor w(f).\nAnswer: -5*(f - 9)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79745483\/31 + -2572076. Let b = -359 + d. Is b equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310657 less than -0.3?\nAnswer: -310657.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 2}. What is prob of sequence pqpq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 4. Let f be -2*(14\/(-4) + 2). What is the least common multiple of c(-4) and 1\/f - 29\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 7*a**5\/30 - a**4\/8 - 5*a**3\/6 + 53*a**2. Let q be l(2). Calculate the highest common factor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0 - 2. Suppose -z = -2 - i. Suppose -a = 3*f + f - 84, z*a = -f + 32. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240344514 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x + 4. Let o be m(5). Suppose -4*d + d = o. Let j(p) = -p**3 - p**2 + 4*p + 1. What are the prime factors of j(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 4:47 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 3*s + 163 = 79 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + -3 + (sqrt(44)\/sqrt(4) - sqrt(11)) - (3 + (sqrt(11) - (2*sqrt(66))\/sqrt(6)))).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60030 is divided by 11326?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*z, -3*m - 7*z + 0*z + 10 = 0. What is the remainder when 3701 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2709 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 12 - 8) + (13 - 22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1067 = x, -4*f = -9*f - 4*x + 1790. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a - 8. Let t(b) = b. Let q(y) = m(y) + 2*t(y). Let h be q(-3). Let l = -9 - -19. Solve d + h*d = -l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/8*(-10)\/(-3). Suppose s*z - 4*n - 205 = 0, 2*z - 65 = 6*n - n. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:26 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/24 + 3*l**3\/2 - l**2 + l. Let j(t) be the first derivative of u(t). What are the prime factors of j(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 7*n - 8. Let v be y(8). Let k be 10\/(-15) + (-2)\/6. Let b be k - -3*4\/6. Are v and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 19. Suppose 13 = -2*c + 37. Let u = k - c. Solve 0 = -o + u + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*1)\/((-200)\/240))\/((-10)\/(-1200)*12)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 256 or 255?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4453 and 8418?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/(n*n**(2\/27)))**(8\/9)\/(n**(1\/2)\/n**7*n**3*n**8) assuming n is positive.\nAnswer: n**(-1355\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*c - 2056, -1636 = 2*c - 6*c + 2*h. Let y = 622 - c. Does 54 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -10 + -3 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*r - 208 = -142*r + 435*r - 140*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848 (base 11) in base 6?\nAnswer: 45212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*h**3 + 0 - 385\/4*h**4 - 65*h**2 + 0*h - 25\/4*h**5 = 0. Calculate h.\nAnswer: -13, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 141*b**2 + 858*b + 720 = 0. Calculate b.\nAnswer: -40, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*v + 23*v**4 - 26 + 26 + v**3 wrt v.\nAnswer: 276*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -99, -150, -203, -258?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0 + 3. Let u be 75\/(-54) - (2 - x). Let i = u - -41\/198. Which is the second biggest value? (a) i (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*sqrt(99))\/((sqrt(108)\/sqrt(12) + sqrt(9))*-4).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/7 (c) 3\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91296995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -3*z - z**3 - 5\/2*z**2 + 0. Let s(v) = -3*v - 3. Determine -3*n(x) + 5*s(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 - 0.05. Let m be ((-8)\/14)\/((-9)\/21). Let u = -7\/6 + m. Which is the biggest value? (a) z (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 539.2, -4137 in descending order.\nAnswer: 539.2, -9, -4137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 12?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (0 - (-1 + 4)). Let z(w) = -8*w - 11*w**3 + 13*w**j + w**2 - 4 + 3*w**2. Let y be z(-3). Solve -y*f + 0 = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*y - 37918 - 47432 = 64*y + 57507 for y.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3417\/18268 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/4 and 13\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 + -9)) + -1 + -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -470 - 3*f - 22*f + 458 with respect to f.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10139748.\nAnswer: 2, 3, 53, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:00 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 9 = 4*k. Suppose 0 - k = -y. Suppose 77 = 2*z + p, y*p = -z + 29 + 17. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - f - 3. Let b(u) = 2*u**2 + u + 4. Let h(c) = -3*b(c) - 4*q(c). Let a = 5 + 0. List the prime factors of h(a).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*5\/8. Let m be ((-1)\/(-3))\/((-11)\/(-66)). Which is the third smallest value? (a) 2\/11 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.162650289 and -0.2.\nAnswer: 0.0325300578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**2 - 80009*g**4 + 80000*g**4 - 3027 + 19*g**2 wrt g.\nAnswer: -36*g**3 + 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (11 - 20)) + 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**2 - 63829476*q + 1111151229 wrt q.\nAnswer: 10*q - 63829476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15324 + -4?\nAnswer: 15320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 3*z**2 + z**2 + z**2)*(0 + 0 + 3*z**2)*(9 + 2 - 4) to b*z**3 + c*z**4 + h*z + v*z**2 + s and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 992\/5 or 1853?\nAnswer: 992\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2046693 and 187770?\nAnswer: 20466930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*t + 2596 = 0, -4*t - 2568 = 2*r - 7*t. Let f = r + 1843. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*k - 201*k + 405*k - 21 to the form f + r*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, o: 2, n: 5}. What is prob of sequence nonn?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.8 - 4. Let h = 1 + -6. Which is the closest to 1? (a) w (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 37*g + 324 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -8. Suppose 3*k + 100 = -3*l + 4*k, g*l = -k - 70. Let w be (-2)\/(2 - l\/(-16)). What is the greatest common divisor of w and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 21*p - 5. Let i be b(11). Solve -i*g - 4*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 891.3 - 896. What is the nearest to 1 in 0.1, -4\/7, y, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -3\/5 (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 p when three letters picked without replacement from bupppvppppbbppubppub.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 990, 991, 992, 993, 994?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (12 + -29 - -27) - (43 - -2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 3*w**2 + 2*w + 1. Let x be r(2). Let b(d) = -1 + 1 - x - 2*d + d. Let a be (1 + -11 - -25)*(-2)\/(-5). Calculate b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reieeeirirrooorrro. Give prob of picking 1 o and 1 e.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 106 = -20*n. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 3. Let i be u(-6). Let a = 1 + 48. What is the remainder when a is divided by 1\/((-1)\/(-39)*i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39543224\/9 or 4393693?\nAnswer: 4393693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -384\/13 - -3505\/39. Let j = i + -907\/15. Which is the closest to 1? (a) -1 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - -73748.\nAnswer: 73747.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 13*t - 396. What is the least common multiple of 44 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**3\/5 + 748078*v**2\/5 - 9993280114*v\/5 + 1427596178\/5.\nAnswer: -2*(v - 26717)**2*(7*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Suppose 5*z = 10*z + 40. Let o(i) = -i**3 - 8*i**2 - 1. Let n be o(z). Calculate r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1041, -2373, -3705, -5037, -6369, -7701?\nAnswer: -9033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1709588 (base 10) to base 9.\nAnswer: -3185102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -4*q + 3 = 7. Sort q, r, -4 in increasing order.\nAnswer: -4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 18. Let v be b(6). Suppose -19*m - 13 = -32*m. Sort -2, v, 11, m in increasing order.\nAnswer: -2, v, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 91 = -4*p. Let b = p - 65. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 1, c: 1, u: 1, i: 1, g: 1}. What is prob of picking 1 q and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 + 4*g - 4. Is 8 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c - 14 + 31*c + 14 as z*c + d and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/14472976?\nAnswer: -5\/14472976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g - 15. Let r be c(7). Suppose 3*p = -162 - r. Let i be (p\/(-70))\/((-2)\/40*3). Which is bigger: i or -26\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3520 (base 7) to base 10\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 336 = -4*i + 702, 0 = -4*i - 4*l + 1048. Calculate the greatest common divisor of 52 and i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-172))\/(3*4\/(-6)*(-24)\/48)?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 15. Suppose n*s - 10 = -2*x - 3*x, -x = -5*s - 30. Let u(j) = j + 2. Let c be u(-5). Sort c, x, -5 in increasing order.\nAnswer: -5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 59 = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -2880*d**2 + 76808\/33*d**3 + 10\/11*d**5 - 231 + 12800\/11*d + 90*d**4. Suppose i(x) = 0. What is x?\nAnswer: -40, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 1. Let d(b) = -24*b - 34. Let z(j) = 4*a(j) + d(j). Give z(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-17)\/q*q*q**24 assuming q is positive.\nAnswer: q**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72591494 to the nearest integer?\nAnswer: 8520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/6682 and 113\/1443312?\nAnswer: 1443312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = 12. Let c = 4 + w. Let f = c + 7. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -28 - 3*n + 8 - 13. Let m be q(-14). Let k be 33\/m - -3 - (-2)\/6. Let d(j) = -j + 3. Calculate d(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 84, 166, 274, 408?\n\"Answer: 13*z**2 + 17*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -66, 664.2?\nAnswer: 664.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168910, 169019, 169194, 169429, 169718, 170055, 170434?\nAnswer: 170849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1766*i + 762*i + 385*i - 2 - 99*i**2 + 100*i**2 as c*i**2 + x*i + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12660721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063 divided by 3?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:23 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -586b + -7?\nAnswer: -5873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from qqqqqqqqqqqqqqquuq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 48*d - 25*d + 79*d - 78*d.\nAnswer: -66*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 2*i, -i + 0*i - 1 = -t. Suppose 12 - 9 = -z + 2*v, -2*v - 3 = -3*z. Solve -4*j - 5 + 19 = -z*l, -4*l - t = -2*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23697*b + 23510*b - 16082 = 0 for b.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -20 + (-21 + 20 - -23).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/793 and -5\/20069.\nAnswer: 260897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 2*k**3\/3 + k**2\/2 + 795*k + 108. What are the prime factors of b(0)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-60))\/(-8)*24\/84.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 7 - 5. Suppose -n*b = 2*b - 0*b. Suppose 7*l - 3*l - 16 = b. Solve 4*o - 3*f + 2*f = 4, 5*o + l*f = -16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36347 + -2?\nAnswer: -36349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 1650*o + 68908\/3.\nAnswer: 2*(o + 14)*(o + 2461)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Suppose o = -2*b + 3*b - 37. Suppose 101 = 4*s - s + 5*u, -u + b = s. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71107783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94982917 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -1\/2, 1.99?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:05 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 880801398 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 387*a**2 + 24975*a - 335625.\nAnswer: -3*(a - 25)**2*(a + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4603587 micrograms in grams?\nAnswer: 0.0000004603587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a**4*(a*a**(3\/5)\/a)\/a**(-5))**16 assuming a is positive.\nAnswer: a**(1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -7 (b) 0.1 (c) 6.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 332706346 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, 2, -2\/7, 87?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from tktztzzzz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3906 and -29\/22134.\nAnswer: 66402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d. Let i(m) be the second derivative of -143*m**4\/6 + 2202*m. Give o(i(w)).\nAnswer: 1716*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*g + 45 - 7, -g - 68 = -5*k. What is the smallest common multiple of 77 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)*f)\/(f\/(f*f**(-3)))*((f*f*f*f**(-5\/3))\/f)\/f**(1\/2))**(-5\/9))**(1\/16) assuming f is positive.\nAnswer: f**(215\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnc when three letters picked without replacement from {d: 2, c: 2, b: 1, r: 4, n: 1, p: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328112?\nAnswer: 2, 227, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2\/23))*(k\/(k**(4\/3)*k)*k*k)\/k)\/((k\/((k\/k**(1\/3)*k)\/k))\/k*k*k\/((k**(-2\/11)\/k)\/k)) assuming k is positive.\nAnswer: k**(-2855\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1978 + 19.4022. Which is the second smallest value? (a) 0.3 (b) g (c) 2\/7 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*v = -1007, -g = -3*g + 4*v - 406. Let r = 2209\/11 + g. Let h = 0 + -1. What is the closest to h in -0.5, r, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4922136*h**5*z - 2843505*h - 6*z wrt h?\nAnswer: 98442720*h**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18382054683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-5)\/(-2)) + (-6)\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3\/2 + 81*i**2\/2 + 693*i\/2 + 1911\/2 = 0.\nAnswer: -13, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-1\/8)\/x))\/(x\/(x\/(x\/x**(-1)))))\/(x**1)**(1\/22))\/(x**(3\/4)\/(x**(-6)*x)*(x*(x\/(x*x**4))\/x)\/((x*x**(-2\/17))\/x)) assuming x is positive.\nAnswer: x**(-4171\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 9 + 9)*(146 + 19 + 318 - 81) as p*m + c and give p.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303217 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2687 + 2691. Let s(b) be the second derivative of -b**5\/20 + b**4\/4 + b**3 - 5*b**2\/2 - b. What is s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, a: 2}. Give prob of picking 4 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132825 and 440.\nAnswer: 1062600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j + 1. Let o be a(1). Let d be -2 - (-8)\/o*3. Suppose d = -2*n - 2, 13 = u - 5*n. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14111034330 - 4?\nAnswer: -14111034334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 23*f**2 + 81*f - 56. Give n(26).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 2990*v - 17904 = 0. Calculate v.\nAnswer: 6, 2984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = 5*a - 3*y, -3*y = -9. What is the first derivative of 4*d**3 - 269 + 2*d**a + 251 - 2*d**3 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5940 times 0.4\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -89*u - 717. Let x be g(-8). What is the nearest to -2 in x, -0.202, -9?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2691844 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or 86918?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, f: 1}. What is prob of sequence of?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072010960876*t**2 + 4*t + 1072010960694*t**2 - 4*t + 0*t.\nAnswer: -182*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 - 4*w - 14. Let p(c) = 2*c + 8. Calculate -5*p(n) - 2*q(n).\nAnswer: -2*n**3 + 2*n**2 - 2*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -1417 - 2147. Suppose -33035 = 10*a - 11565. Let z = c - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 42*q - 2. Let u(g) = -42*g + 3. Give 4*i(d) + 3*u(d).\nAnswer: 42*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 - 128661.0967?\nAnswer: -128817.0967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 55376640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -2203 in descending order.\nAnswer: 5, -5, -2203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-42)*14)\/(10\/4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v + 5. Determine j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 836893202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-660)\/110*9\/((-2079)\/(-49))\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 67*x - 3. Give p(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, p: 2, r: 2}. What is prob of picking 2 r and 2 v?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271.2 + -271. What is the biggest value in h, 4\/5, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62205528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**5 - 30*d**4 + 356*d?\nAnswer: -140*d**3 - 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*-2*sqrt(2057))**2 - (3 + (sqrt(2057)*1)**2)).\nAnswer: 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 5:34 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 16*j - 13. What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**7\/840 - w**6\/120 - w**5\/240 + w**4\/24 - 11*w**2\/2 - 20. Let f(s) be the second derivative of o(s). Factor f(c).\nAnswer: c*(c - 4)*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d + (4 - 2 - 3)*(1 - 1 - 2*d) - 32*d - 21*d + 6*d)*(38*d + d**2 - 71*d + 34*d).\nAnswer: -46*d**3 - 46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 1:20 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -263*d**3 + 776*d**2 + 5*d + 16036134.\nAnswer: -789*d**2 + 1552*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (4 - 9)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21741147 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10360 and 20?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 13) + -20 + (-2 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*c - 16, -2*c + l = 2*c - 4. Solve -5*j = 5*y, -14 = -c*y - 2*y + 5*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.395 + 0.3. Let j = 0.008 + f. What is j rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3550?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1921, 1907, 1881, 1843, 1793, 1731, 1657?\nAnswer: 1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 5) to base 11\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-6)\/144*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 3*k + 1. Let t be r(4). Let s(f) = f**2 - 5*f + 3. Let w be s(3). Let v = w + t. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3372026 greater than -3372026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*(-1061)\/(-6366)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5251\/6268 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.5 - 9.4. Let d = -7 + 13. Let k = d - 11. Sort 4, y, k.\nAnswer: k, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0104 and -32302?\nAnswer: -335.9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**6\/24 - b**5\/120 - b**4\/8 + 14*b**3\/3 - 12. Let n(w) be the third derivative of h(w). What is the tens digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 333 - 17. List the prime factors of 40\/(-16)*q\/(-5).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + a**2 - 3*a - 1. Suppose -q - 32 = -5*q. Let p(g) = 5*g**3 + 3*g**2 - 8*g - 2. Give q*f(n) - 3*p(n).\nAnswer: n**3 - n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 8*w + 21. Let x be s(3). Let n(v) be the third derivative of 14*v**2 - 5\/72*v**4 + 0 + 0*v + 1\/18*v**x + 1\/12*v**5 + 0*v**3. Factor n(l).\nAnswer: 5*l*(l + 1)*(4*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-10 + 4)\/((-4)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16419*o**3 - 792*o**2 + 2*o + 11 wrt o.\nAnswer: 98514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 23*t**6\/360 + t**5\/40 + 13*t**3\/3 + 8. Let j(w) be the third derivative of i(w). Find the second derivative of j(k) wrt k.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -39, -99, -193, -327?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*u - 2*k, -5*k + 49 = -10*u + 44 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:19 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 25 = -5*r + 5*f, -23 = -3*r - 4*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64.0495861 - 0.1326861. Let m = d + -54.91692. Let u = m + -9. What is u rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -17*m - 47. Let r(o) = -1578*o. What is j(r(x))?\nAnswer: 26826*x - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.924 centuries in years?\nAnswer: 8992.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410, 412, 416, 422?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -8*t + 10*t + 9, -4*t + 15 = -u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 4*y + (1 + 0 + 1)*(-y + 5*y - 3*y) + 1 - y - 1)*(1 - 1 - y**2 + (-y + 0 + 0)*(-1 + 1 - y) + y - 2*y**2 - y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 1. Let u = 12 - -13. Let o = 24 - u. What is w(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 701*v + 35462\/3.\nAnswer: (v - 2086)*(v - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let k(z) = -198*z. Give k(f(b)).\nAnswer: 396*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + 2. Suppose 10 = -5*g, 2*g - 36 = 4*d - 2*g. Let z = -6 - d. Solve 3*i - 2*k - 38 + 16 = 0, i - c = z*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -9\/4, -2\/3, -5\/6 in decreasing order.\nAnswer: -2\/3, -5\/6, -6\/5, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:29 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 19, -24, 0.2.\nAnswer: -24, 0.2, 4, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29709286163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202352 - -202356. Let l + 2\/5*i**2 - 14\/5*i = 0. Calculate i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*y - 324*y = -169*y - 295480. Is -14774 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from cxccxccc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1228 = 4*w, -z + 302 = w - 0*z. Suppose 3*g - w = -96. Suppose 1 = n - 9. What is the highest common divisor of n and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2\/7 (c) -15.5 (d) 6 (e) 1\/5 (f) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 128.7434m?\nAnswer: 128743.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stn when three letters picked without replacement from csctsscsscscscns.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23331233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + (sqrt(98) - (sqrt(98) - (sqrt(98) - -5*1*sqrt(98)) - sqrt(98)) - sqrt(98)) - sqrt(98))\/sqrt(2))\/(sqrt(49)\/(-2*sqrt(700))).\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q*q**(-2\/11)\/q)\/q*q*q*q*q**(-1))\/((q\/q**3)\/q*q**(-2\/3)*q) assuming q is positive.\nAnswer: q**(181\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 71*v - 447. Let t be (-36)\/(-6) + 17 - 2. Is r(t) a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5380 and -1070\/61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 2.2. Let n = 18 - 33\/2. Sort x, -1\/5, n in increasing order.\nAnswer: -1\/5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 15. Suppose q*i - 68 + 23 = 0. Suppose 0 = 4*x - i*x. Solve -l + 3*v + 24 = -v, -3*l - 4*v - 8 = x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-36))\/(((-70)\/15)\/7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534132.\nAnswer: 2, 3, 37, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -14.8 (b) -1\/3 (c) -0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {h: 3, g: 3, e: 2, f: 5, y: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -5, 1\/8, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 861\/57 - 3 - 10*4\/380. What is the greatest common factor of f and 1914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 0*z - 2*z. Let a(j) = -11*j. What is o(a(c))?\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1663839 + 0.2\nAnswer: -1663838.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715122 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-3)\/(-12)*(112496\/445 + -212)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let x be -3*4\/(-12) + 1. Let m(c) = x*c + 0*c - 5*c. What is m(t(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767158.9 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 296*l + 212*l - 10245 - 28*l - 1275.\nAnswer: -5*(l - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c + 0*c)*(-c + 0*c + 3*c) + (-4*c - 12*c + 2*c)*(-51 + 17*c + 51).\nAnswer: -234*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + k**2)*(16*k - 17*k - 10*k) + k - k**3 - 2*k + 2 - 6*k.\nAnswer: -12*k**3 - 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 50*a - 302. Let l be h(6). What are the prime factors of l + 7\/4 - (-111125)\/100?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4833 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-6)\/24)\/(1\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 13*y + 14. Let f be l(16). Let h be (-18)\/4*(-4)\/f. Is -2 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033 and -321?\nAnswer: 10.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1121*c**3*l + 2897*c**3 wrt l.\nAnswer: -1121*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14060564839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86*4.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/11369684 and -18\/31.\nAnswer: 11369684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w - 1. Let v(z) = -8*z + 1. Let i(t) = 3*h(t) + 2*v(t). Let o = -59 + 60. Let m be i(o). Is 9 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10778 - -11182. Sort o, -3, 1 in ascending order.\nAnswer: -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 + 19*y - 21. Suppose 6*x + 12*d - 8*d + 78 = 0, 2*d + 3 = x. Determine g(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - 152\/(-12). Suppose -3*v - 192 = -4*v. Let h = v - 96. Calculate the greatest common divisor of h and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17172, -34489, -51974, -69639, -87496?\nAnswer: -105557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 572 or 576?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + (-87)\/(-6). Let m = c - 8. Let l(i) = 2*i**3 - 6*i**2 + 6*i - 5. Let g(a) = -2*a**3 + 5*a**2 - 5*a + 4. What is m*g(f) + 5*l(f)?\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (6 + 3)) + (4 - 6) - -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 10:15 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**3\/8 + 15*m**2\/8 + 51*m\/8 - 63\/8 = 0.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 193, 359, 525?\n\"Answer: 166*m - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9\/r**(-12)*r**(-2)\/r*r*(r\/(r*r**12)*r*r*r*r)\/r*r)**32)**(-1\/12) assuming r is positive.\nAnswer: r**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 - 6*o**2)*(-4*o**3 + o**3 + o**3 + (-o - 1 + 1)*(3*o**2 - o**2 - 3*o**2) + 18*o**3 + 1 + 0 + 7*o**3 - 3*o**3 - 2*o**3 + 7*o**3).\nAnswer: -130*o**5 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 0*b**2 - 2*b**2 + (0 - 2 - 1)*(-2*b**2 - 5*b**2 + 3*b**2).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 28. Let q(t) = t. Let x(v) = n(v) - 8*q(v). Let m be x(-5). Solve -5*u + 0*k + 2*k - 28 = 0, -m*u = -5*k + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*x + 412 = -9413 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(363)*4)**2 + (sqrt(5184)*1)\/sqrt(12)).\nAnswer: 72*sqrt(3) + 139392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*b = -2*b + 816, -3*b - 817 = -5*h. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxawiq. Give prob of picking 1 a and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/15)\/((-6)\/225). Let j = f - -38\/3. Let q = 11\/42 - -1\/14. What is the nearest to -1\/4 in j, q, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2570 - 2567. Let p(b) = -1 + 13*b**2 + b - 3*b + b. What is the hundreds digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18544 - 2671223651.\nAnswer: -2671205107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -5)\/(1 + 0). Let s = -903141\/8 - -112684. Let k = s + 209. Is k >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 12*x**2 + 57*x - 35. What is the derivative of b(d) wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 + 29*r + 243. Determine p(0).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*h - h. List the prime factors of -4 + (h - -4) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4671 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 49404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833410187.\nAnswer: 653, 1276279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 763*s + 14447 + s**3 + 15319 - 27267 + 65*s**2.\nAnswer: (s + 7)**2*(s + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 8719*a**2 - 87187*a\/5 - 43593\/5.\nAnswer: -(a + 1)**2*(a + 43593)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.49, 24254 in decreasing order.\nAnswer: 24254, 0.49, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5503\/10 - 551. Calculate the common denominator of u and 111\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1506 by -502.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444.0242 + 0.0242. Let p = k + 445. Which is smaller: p or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462124?\nAnswer: 2, 3, 7, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*c - 179*c - 125*c + 408*c + (-2 + 2 + 2)*(2*c + 0*c - c) - 2*c + 6*c - 5*c - 2*c + c + 2*c to the form m + r*c and give r.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10884*z - 5458*z - 1170 = 5465*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.043 and -4.2834.\nAnswer: -4.2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3 - 13. Let t be ((-20)\/(-6))\/(2\/3). Let w be 5*(-2 + 14\/t). Is j < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:18 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35827680 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + -60. Let x = r - -106.0051. Round x to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -5, 2\/17, 188, 6\/41?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34268539 less than 34268542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3421 - 2186 = -87*k + 5181. Solve -100 = 104*s - k*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*h + 14, -2914*h = -4*w - 2909*h - 37 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2 + 2*x**2 + 0*x - 2\/3*x**3. Factor w(c).\nAnswer: -2*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = -15. Suppose 4*y - h*n - 28 = 0, 0 = y - 2*n + n - 6. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 12, 5*w = -2*i + 9. What is the units digit of 2 + 2 + i + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383168 minus 15666396?\nAnswer: -16049564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21618 and 41402073?\nAnswer: 3603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626019389.\nAnswer: 626019389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 - 5*u + 7. Let x(h) = -h**2 + 8*h - 5. Let z be x(6). Let w = 10 - z. Suppose -w*a + 10 = -a. What is r(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30 + -1)*(-9 - -13)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 - -8)*(-2 + 1). Let a(u) = -u**3 + 4*u**2 + 7*u - 7. Give a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/6 - 2*a**2 + 3*a. Let z(x) = -x**2 + 3*x + 5. Let v be z(5). What is k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.3 - 73. Sort 4, u, -1 in ascending order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/7, 1, -6, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x + 9\/5*x**5 + 0*x**4 - 1\/3*x**3 + 12 + 0*x**2. What is the third derivative of v(j) wrt j?\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 18 = 10*i - m, 2 = 2*i - 4*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 4*d + 6*d)*((-2 + 5 - 2)*(-2 + 0 + 0) - 12 + 4 - 41 - 1 - 3 + 3) as f + i*d and give i.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 2\/13, 1\/11, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*s + s. Is (s\/(-8))\/(2\/(-8)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - s)*(-1 + 0 + 0) - 86*s + 2 - 47*s - 19*s.\nAnswer: -151*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*(l**(-7\/6)\/l)\/l)\/l**(-7)*(l**6*l)\/(l\/(l*l*l\/(l\/l**(-10)))))**(-45) assuming l is positive.\nAnswer: l**(-435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/120 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o**2 - 52*o**2 + 137*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 0.3. Let c = 11 + -18. Let z = 2 + c. What is the closest to -0.2 in -0.3, l, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 2. Let k be j(1). Suppose 15 = k*y - 1. Calculate the greatest common divisor of 16 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, g: 4, l: 2, a: 3, s: 3}. Give prob of sequence vga.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -180*n + 1091. Let g be i(6). Solve -5*j - 26 = -g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k. Suppose 0 = 5*a - 3*r - 195, k = 4*a - 2*r - 8 - 148. Suppose -2*m + 15 = -a. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 12:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v - 0 + 58 - 34 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-26 + 62 + -9)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjizbv. Give prob of sequence vzj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116\/165 - 2\/55. Let w = 1.87 + 6.83. Let u = 9 - w. Which is the nearest to i? (a) 3 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y - 5*m - 1, -63 = -2*y + 3*m. Let p be (y\/2)\/((-14)\/(-105)). Let n = 9 + 9. What is the greatest common factor of n and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5572, -5573, -5574?\nAnswer: -5575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 - (-7 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 - 9 = 0. Let g be (-2)\/(1*2\/u). Let d(x) = 0 - 2*x + 2 + 2. Determine d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*0.09.\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -3 + (sqrt(110)\/sqrt(5))\/sqrt(2))*1 - ((-2*(sqrt(704) + 0)*-4)**2 + 1).\nAnswer: -45061 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let z(m) = 9*m - 6. Suppose 0*x - 1 = x. Let o(i) = x*z(i) + 2*r(i). Let l(j) = -j + 1. Calculate -6*l(g) + o(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001798 to six decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 10. Let h be 3 - 4 - -1*q. Suppose -c + h*c = -61. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 2*o**2 - 2*o. Let j(s) = 4*s**4 + 96*s**3 - 2252*s**2 - 77444*s - 550256. Let f(m) = 4*h(m) + j(m). Determine l so that f(l) = 0.\nAnswer: -17, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/35*(-14)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -59 + -69 + 136.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196837942?\nAnswer: 2, 7, 439, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 133*d**2 - 3*d - 139. Let l(j) = -66*j**2 + j + 59. Give -7*l(h) - 3*z(h).\nAnswer: 63*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 3*k - 6. Let p(b) be the first derivative of 1\/3*b**3 + b + 1\/2*b**2 - 9. Let x be (-2 + 3)\/(-1 - 0). Calculate x*y(g) - 4*p(g).\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59467047 is divided by 246?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in 0.1, 3, 164, -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 9*z - 10. Let o be ((-10)\/(-3))\/(2\/(-6)). Let b be f(o). What is the second derivative of 0*x**2 + 6*x**5 + 118*x + b*x**2 - 116*x wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 5*q**3\/6 - 3*q**2\/2 + 1419*q. Let x(c) = -6*c + 4. Calculate 5*b(h) + 4*x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*g + 2101 + 4920, -3*g = 5*x - 4220. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w**(6\/7))\/(w\/w**6*w))**(-23))**(-15) assuming w is positive.\nAnswer: w**(18975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 6. Let q(y) = -3*y - 5. Let j be 44\/10 + 6\/(-15). Suppose 0*n = 2*n - 6. Suppose -4 = 4*x, -n*m = -m - 5*x - 15. Calculate j*k(u) + m*q(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.406 - -0.36. Let s = -4.846 - f. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrl when three letters picked without replacement from {l: 6, q: 4, y: 2, r: 7, b: 1}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 6, 2\/7, 3, 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5708 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a6 (base 16) to base 11.\nAnswer: -77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/4 (c) 5\/17 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 3*k**2 + 4*k - 3. Let q be (-12380)\/180 + (-2)\/9. Let d = -67 - q. Give j(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:30 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 449, 447, 445, 443, 441?\n\"Answer: -2*x + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 6*o + 4. Let i be w(6). Suppose 16 = 4*u, 28 = -0*y + i*y + 2*u. What are the prime factors of 36\/15*(y - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000186 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x**2 + 2*x - 25. Let m(p) = 1294*p - 120 + 132 - 1295*p + 0*p**2 + 5*p**2. Calculate 13*m(o) + 6*y(o).\nAnswer: -o**2 - o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 106.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151941 (base 12) to base 11.\nAnswer: -22317a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 - ((-65 - -70) + -46)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-198)*20)\/(544\/(-4896))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -16. Solve h = 3*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = 3*d. Let s be 2\/(1*-12) - 0. What is the third smallest value in s, -2\/7, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -43, -70, -125, -208?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*o + 687 + 399 = 0. Suppose 17 = -4*p + n, -4*n + 0*n = 2*p - 14. Which is the biggest value? (a) -0.2 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3972 and 6768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24503 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a - 96 = -3194 - 118. What is the remainder when 16212 is divided by a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o**5)\/(o**(2\/11)\/(o*o\/((o**5*o*o)\/o))))\/(o**(-2)*o**(3\/7)*(o**1*o)**(-16)) assuming o is positive.\nAnswer: o**(1955\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -19. What is the nearest to h in 3, 2\/3, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -34. Suppose -w = j - 8. Suppose 3*f + b = 17, -5*f + 5*b + j = -2*f. Solve 4*i - 3*t + 3 = 0, -5*i - 3*t + f = 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + h + h - 39.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/12)*(m**(-4)*m)\/m)\/((m**8*m)\/m**(1\/12)) assuming m is positive.\nAnswer: m**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*r + 9 = 0, -3*t = 2*t - 4*r - 34. Suppose t = j + 3. Put 2, 4, j in decreasing order.\nAnswer: 4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) -1139266 (c) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6552535 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*n + 545*n + 214 = 5*y, -108 = -3*y - n. Let s(h) be the second derivative of -5\/12*h**4 + 0 + 15\/2*h**2 - 5\/3*h**3 + y*h. Factor s(c).\nAnswer: -5*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 3435073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -28. Solve 2*w + d = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.55 and -399.\nAnswer: -1815.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a**(2\/17)*a*a)\/(((a*a\/a**(-4\/11))\/a)\/(a\/(a**(6\/11)*a))))**(-47) assuming a is positive.\nAnswer: a**(15745\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9*(-12)\/(-8). Which is the smallest value? (a) f (b) -9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 - 6*w + 5. Suppose -6 = 4*l - 14. Let n(x) = 8*x**2 - x - 1. Let s(c) = 4*c**2 - c. Let k(h) = l*n(h) - 5*s(h). What is -5*k(r) - 2*q(r)?\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33203120 (base 4) in base 16?\nAnswer: -f8d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -29623025 divided by -5924605\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:19 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847 is divided by 546?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 100733865 divided by 5\nAnswer: 20146773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.758624 and 18.4.\nAnswer: -13.9586816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2512800785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773060.\nAnswer: 2, 5, 38653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27403.24 rounded to the nearest 10?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 6*a**2 + 3. Let p be c(-7). Suppose 3*z - p = -37. What is the second derivative of 8*s**5 - 14*s - 14*s**z + 4*s wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 18 - 74 + 28 - 207*b.\nAnswer: -207*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/280*-30*6\/12*7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5\/((w*w**3*w)\/w))\/(w**2)**(-1\/11))\/((w\/(w**1\/w)*w*w)**(2\/31)\/(w**8*w*w**2\/w)) assuming w is positive.\nAnswer: w**(3747\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -35. Let o(j) = 3*j + 10*j**p + 0*j - 3*j. Let r(c) = -2*c**2. Calculate r(o(k)).\nAnswer: -200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -11 + 0 + -2 + -4 + -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*(o\/(o*o**(-1\/8)\/o))\/o)\/((o**6\/o)\/o**(-2\/13)) assuming o is positive.\nAnswer: o**(-835\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207 or -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 670115199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -2*1*sqrt(190))*-1*-5)\/((sqrt(810)*-2*3 - sqrt(810))*4).\nAnswer: 5*sqrt(19)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.69176 and 38.4?\nAnswer: 141.763584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bnbnbbn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 76 - 20. What is the remainder when 47 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 26*m. Let p(y) = 260*y**2 + 2. What is p(c(k))?\nAnswer: 175760*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(21392\/(-10314) + (-2)\/(-27)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 23658890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 72\/5*j - 78\/5*j**2 - 72\/5*j**3 + 3\/5*j**4 + 15 = 0?\nAnswer: -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -12020000?\nAnswer: 12020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90239936?\nAnswer: 2, 1409999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(84)\/(2*sqrt(1008) - sqrt(7)).\nAnswer: 8*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1 + sqrt(396) - sqrt(396))*-5 + (sqrt(396) - (-5 + sqrt(396)*-2)))**2 + 1.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*g - 5350 = -93*g + 239*g + 2120 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/4)\/(u\/((((u\/((((u*u**(-7\/6))\/u)\/u)\/u))\/u*u)\/u)\/u)))\/((u*u\/u**(-2\/69))\/(u**(-2\/3)*u*u)) assuming u is positive.\nAnswer: u**(475\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 97920?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7590, 15178, 22766, 30354, 37942?\nAnswer: 45530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324663 is divided by 36047?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Let l = -495\/4024 + -1\/503. Which is the nearest to 0? (a) -3 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1369 + -3?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -876, 4, -6, 0 in ascending order.\nAnswer: -876, -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*c**2 - 7*c**3 - 3*c**3 + 14*c**3 + 57*c**2.\nAnswer: 4*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23157*246\nAnswer: -56.96622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -24*o**2 + 120*o**2 - 94*o**2. Let m(a) = 3*a**2 - 9. Let s(t) = -1. Let c(w) = -m(w) + 9*s(w). Determine x(c(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*s - 4*s. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33809527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -409*f**3 + f**2 - f - 1. Let d be k(-1). Suppose 5*w - 470 = d. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -88. Let g = 1.4 + -0.4. Put g, r, 0.4 in descending order.\nAnswer: r, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487166223.\nAnswer: 3, 41, 3960701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 + 8 = 0. Let z = -0.3 - -0.3. Let g = z + -0.2. Which is the nearest to 0? (a) g (b) -2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-69)*(36\/26)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 192244 divided by -96122?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 7599918.\nAnswer: 106398852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 1.6, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 9*i - 3. Let v(o) = 2*o - 1. Let y(x) = -g(x) + 4*v(x). Determine y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137.5*474.363\nAnswer: 65224.9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 14 + 53. Let o = r - 21. Let u = -5 - o. What is the highest common factor of u and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -124*w**2 - 24*w + 36. Let o(y) = -122*y**2 - 25*y + 37. Let j(h) = 3*o(h) - 4*q(h). What are the prime factors of j(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4902 and 25\/18928104.\nAnswer: 813908472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 1 = a - 5*x + 3*x, -38 = -2*a - 2*x for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 13, -4, -5, -422, -1.\nAnswer: -422, -118, -5, -4, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 3*p**2 + 3*p + 4. Let k(b) = -b**3 + 5*b**2 - 8*b + 37. Let y be k(5). Give u(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8*f + 20 = 4*f, 2*f + 5 = 3*c. Let t = 0.008 - -1.992. Put 0.5, c, t in descending order.\nAnswer: t, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + -3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Suppose -5*w - 211 = -3*r, 0 = r + d*w - 12 - 51. Let k = -25 + r. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, 4, 11, -3 in decreasing order.\nAnswer: 11, 4, 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53543507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - (-26 + (-9 - -18)). Solve 5*x - 3 - 7 = -5*l, -l = -5*x + r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 6*g - 2. Let u be n(4). Suppose -2*o = u - 12. What is the common denominator of 4 - 113\/(-30) - o and -43\/14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**4 + 431 + 2*z**3 - 6*z**4 - 438 to d + g*z**3 + q*z + h*z**2 + s*z**4 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28579826 a multiple of 2794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1929*w**4 - 2*w**3 - 10982*w?\nAnswer: 23148*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -0.4 (b) 5285 (c) -120.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = -8*g - 26. Which is the closest to g? (a) -1\/4 (b) -1 (c) 1 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 8*f + 7*f + 14 - 3*f. Calculate the smallest common multiple of c(-9) and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.91 + 1.21. What is the biggest value in -0.2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 29. Let y = z + -85.0372. Let p = y + 4.5472. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14184.3 + -14184. Put -3\/7, -8, g, -5, 13 in increasing order.\nAnswer: -8, -5, -3\/7, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, i: 1, b: 3, s: 2}. Give prob of picking 1 s and 2 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422146 divided by 3.\nAnswer: -422146\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273885*t - 221932 wrt t?\nAnswer: -273885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 - 3. Let a(w) = 7*w**2 + 7. Suppose 2*m = u, 71*m = 4*u + 73*m + 30. Determine u*a(z) - 14*k(z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 6 = 4*p. Which is smaller: p or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6*s + 9)*(-4*s**4 + 3*s**4 + 5*s**4)*(-1 + 2 - 3).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25*270\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, e: 1, u: 3, s: 5, r: 3}. What is prob of sequence rm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -10*p - 12*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0)*4 + -4 + sqrt(18)\/sqrt(6))**2*-6.\nAnswer: -546 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70, -8, -84, -158, -230?\n\"Answer: q**2 - 81*q + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99848611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2400154322 - 1?\nAnswer: -2400154323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*s + 1347*s = 28725 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 5, 1\/6.\nAnswer: -1\/7, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + 29. What is the remainder when u is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and 59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = o - 4, 3*o - 4 = n - 20. Suppose -k + 3*s - 8 = -5*k, -3*k - n*s = 1. Suppose -k*y = -739 - 196. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 0.06, -1\/3, 2\/5, -80\/19, -5\/103?\nAnswer: -80\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 60592216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/9286 or 0?\nAnswer: 5\/9286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 32\/5 of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 685 - (28\/4 - 4). Let i = 58 + w. Suppose 327 + i = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 12:09 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3646*m - 24884 + 24884.\nAnswer: -3646*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33*24571.73\nAnswer: -810867.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272666407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4889 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.217*-0.06.\nAnswer: 0.01302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 15\/2*u**3 + 0 + 21*u**2 - 55*u. What is the first derivative of z(r) wrt r?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23172, 23162, 23146, 23124?\n\"Answer: -3*j**2 - j + 23176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**4 + 11*z**2 - 13*z**3 + 13*z**3 - 9*z**2 + z**4 - 18*z in the form h*z + v*z**3 + c + u*z**2 + l*z**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l + 3. Let g be l\/(-6) - 159\/(-18). Solve p = 4*j + g, -2*p + 2 + 2 = -j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 5.2. Put 3\/7, 5, k in descending order.\nAnswer: 5, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5024\/3 + -125677\/75. What is the common denominator of u and -26\/9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 8:31 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9366, 2, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, -9366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/207 and -5\/23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008732 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91368 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 14. Let b(x) = 4*x - 15. Let m(q) = -2*b(q) - 3*c(q). Let k = -426 + 436. Let z be m(k). Let o(y) = -y**3 + 2*y + 2. Give o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23504*l**3 - 4173*l**2.\nAnswer: 141024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -10. Let f be -3*m\/(-4) - -2. Let l = -9 + 9.3. Put 5, f, l in decreasing order.\nAnswer: 5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 17*a**2 + 43*a - 236. Determine h(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 24 - (-3 + 10)) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.712 + -0.058. Let o = a + 24.77. Which is smaller: -6 or o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**2\/2 - 6*l - 119. Let c(j) = j**2 - 7*j - 21. Let p be c(10). Give b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*85\/((-165750)\/(-40))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from srssrsss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let h be t(4). Suppose 2*w = 6, 5*l + h*w = w + 4. Let n be 9\/(-6) - (l + 1). Which is the closest to 2\/5? (a) -3 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-22) + 5 + (-100)\/55. Suppose 0 = -5*v - w + 96, 20 = 2*v + q*w + 2*w. Calculate the remainder when 38 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5*b - 1 - 3 + 2*b - 3*b - 3*b + (7 - 3 - 2)*(-1 + 1 - b) - b + 2*b - 2*b.\nAnswer: -12*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -74*q - 2738. Give x(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -19. Let y = s - 6. Calculate the greatest common divisor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1600 - 1610.91. Let y = -0.09 + z. Let l = -11.00059 - y. What is l rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4625796 rounded to the nearest one hundred thousand?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j + 15\/8*j**4 - 55*j**2 + 0 - 35\/6*j**3. Differentiate h(v) with respect to v.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.0000002 + -9. What is j rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -25 - 25. Calculate the greatest common factor of a and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Solve -2*n + 10 = -h*q, -7*q + 2*q + 4*n = 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1165, 33, 17, -2, 4, -1.\nAnswer: -1165, -2, -1, 2, 4, 17, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -13. Let v = 35 + w. Calculate the least common multiple of v and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1450*w**2. Let d(o) = o**2. What is u(d(p))?\nAnswer: 1450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/((-192)\/(-28))*-4)\/((-4)\/16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5439, -5858, -6277, -6696, -7115?\nAnswer: -7534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**3 - 2*r**3 - 2*r**3)*(-10*r + 28 - 28 + (3 - 1 - 1)*(-1 - 2*r + 1)) as k*r + g + d*r**4 + w*r**3 + i*r**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77407 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/19819 or 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10383314, 20766634, 31149954, 41533274, 51916594?\n\"Answer: 10383320*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z = -12, -3*z = -2*t + 6*t + 23. Let p be 1\/t + 2044\/20. Suppose 0*q - 3*q + p = 0. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -13) + (-12 - (-14 - (-11 - -8)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187*c**2*q**4 + 9*c**2*q + 219*c**2 + 52*c*q**5 wrt q?\nAnswer: -2244*c**2*q**2 + 1040*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 6. What is n(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2.899?\nAnswer: -2.899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8970, -17740, -26500, -35244, -43966, -52660, -61320, -69940?\n\"Answer: g**3 - g**2 - 8774*g - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -60 + 19 - -35\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209794 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 7, 5, 3, 1, -1?\n\"Answer: -2*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-16))\/3 - (-1128)\/(-192). List the prime factors of 34\/(-51) - 1019\/u*2.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (630\/4)\/15*27\/(1863\/(-92)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/37, -0.3, -1\/14, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t + u + 4, -4*u - 16 = 0. Suppose -5*b - q + 10 = t, -18*b - q + 7 = -14*b. Solve -4*y + 19 = b*z, -2*y - 2*z + 12 = -0*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -3718221?\nAnswer: -49\/3718221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, s: 2, j: 5, i: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**4 + 2*b**4 + b**3 + 11*b**4 + 0*b**3 - 14*b**2 to the form t + a*b**4 + x*b**2 + j*b + m*b**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -3 + -1)*2. Suppose 2*a = -w*k + 8 + 54, 5*k - 162 = 2*a. What is the greatest common divisor of 80 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2798686 and 1003.56.\nAnswer: 1003.8398686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/48 and 51\/3462020.\nAnswer: 41544240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 164, 158, 152, 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9571329?\nAnswer: 3, 947, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 + -9.3. Let o = 5 + x. Suppose -y + 4*y - 12 = 0. Put y, 1, o in decreasing order.\nAnswer: y, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 18. Let z(q) = -s*q - 5 + 0 - 10*q**2 + 11*q**2. What is the units digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*b + 276 = 2*z, -5*z = 37697*b - 37700*b - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 2. Let u be d(0). Solve -4 = -0*i - 4*i - 4*z, 0 = u*i - 4*z + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275241784097 - -1?\nAnswer: -275241784096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6.049, -1\/3, -21\/4, -18, -0.3?\nAnswer: -6.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78834 and 4704?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:04 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/7, -0.16, 4, 2\/5, -9683?\nAnswer: -9683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 - 1\/35*v**7 + 0*v + 0*v**4 + 0*v**6 - 4\/3*v**3 - 7*v**2 + 0*v**5. What is the derivative of j(l) wrt l?\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/44 and -76\/2126289?\nAnswer: 8505156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 4*x + 3. Let b be o(2). Let w = 17 - b. Solve -w = -4*h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 38 - 5*c + 25)*(0 - 3 + 1)*(65*c - 3 + 109*c + 3) to y + s*c + t*c**2 and give t.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 450516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(20 - 13*j + 0*j + 16*j + (-7 + 24 - 14)*(2 + 4*j - 2)) to q + h*j and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2948 times 10307.6\nAnswer: 30386804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 17.836\nAnswer: -71.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63069679 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -660*q - 1. Let k be j(0). Put 2, k, -3, 123 in ascending order.\nAnswer: -3, k, 2, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiqqusnnxququnqqq. What is prob of sequence xn?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*q - q + 25, -q = -3*n - 64. Let k = n + 26. Suppose 5*f = -h + 7, 5*f = -k*h - 5 + 60. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.67496208 to three decimal places.\nAnswer: -6.675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-10))\/((-2)\/5). Suppose u*b = 5*h - 27, -6 + 23 = 2*h + 5*b. Suppose -2*q = -h*q + 2*a - 2, 5*q = 5*a - 5. Solve k + 1 + 4 = q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164763.\nAnswer: 3, 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by (-2592)\/(-28) + 10 + (-814)\/77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i**2 + i. Let j(u) = -7*u**3 - 4*u**2 + 8*u. Let k(t) = -j(t) + 6*w(t). Let c(p) = -5*p**3 + 9*p**2 + 8*p - 1. What is -2*c(l) - 9*k(l)?\nAnswer: l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19884, -159118, -537052, -1273038, -2486428?\nAnswer: -4296574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20526 take away 489248.5969?\nAnswer: -489248.39164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14682*i**3 + 27468*i + 2 wrt i.\nAnswer: 88092*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 10*d + 8. Let b be h(11). Let m = b - 14. Put m, -4, 2 in decreasing order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-294))\/((-1)\/3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 + (-52)\/(-9))*(-819)\/42.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9926b (base 14) to base 2\nAnswer: -1011010100011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -807 divided by 9045?\nAnswer: -269\/3015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t**3)\/(t**(-3)*t\/(t**3*t)) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 73.1905 centuries?\nAnswer: 7319.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*(-30)\/4. Suppose 424 = g - 5*g. Let o = g + 151. What is the highest common factor of r and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*d + 2007*d + 160036 = -2692*d - 154652 for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 328, 530, 928, 1588, 2576, 3958?\nAnswer: 5800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*x**3 + 1298 - 149*x**3 + 285*x**3 - 1298.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 13.9. Let m = -9 + 14. What is the closest to d in m, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s. Let r(b) = 41*b. Give -3*r(m) + 8*w(m).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*o + 159 - 16 - 432*o + 468*o to z*o + f and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147833099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/4*q**5 + 13*q + 20 + 14*q**4 - 47\/4*q**3 - 34*q**2 = 0. What is q?\nAnswer: -1, -4\/5, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154145298 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678 is divided by 1209?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 14840559.\nAnswer: -14840561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(272))**2 + 1.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-64))\/(99\/(-24))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 4*t + 5*t)*(0 + 2 + 0 - 3 + 5 - 1 + (-2 + 1 - 1)*(1 + 0 - 3)) to the form v*t + b and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 21*a**2 - 21*a + 4. What is w(22)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (504\/24 + -27)\/(3 - 2\/10)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -34. Let a = -7 - -8. Let m(t) = t**3 + t**2 - t. Let k(u) = -7*u**3 - 6*u**2 + 5*u. Give a*k(g) + q*m(g).\nAnswer: -2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -5*i**4\/12 - 75*i**3 - 10125*i**2\/2 - 13*i - 3. Let b(x) = 0. Calculate x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -0.5, 570, 3?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let f(y) = -3219*y + 3. Determine f(b(x)).\nAnswer: -3219*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let s be p(-4). Find the third derivative of 8*m**s - 20*m**2 - 11*m**4 - 6*m**2 wrt m.\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 - 5*s - 9. Determine h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 880854.6 kilograms?\nAnswer: 880854600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9493 + 9487. What is the fifth smallest value in k, -0.4, -1, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-31 - 15))\/(3\/(-4)*(-133)\/(-57))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n - 25. Determine u(-13).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -95.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756320 divided by -337?\nAnswer: -2756320\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79770582675*k**3 + 717951876705*k**2 - 149694537*k + 7803.\nAnswer: -3*(k - 9)*(163065*k - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 239502165 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 - 384.1. Let c = t + 23.59. Round c to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1745?\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37095 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 2*w + 1356 = 14*p, -5*p = -w - 2253. What is the smallest common multiple of p and 20?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 529.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2521 or -20506.4?\nAnswer: -20506.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 91 - 47 - 3846*u.\nAnswer: -3846*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from irrririirriiirii?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b**5\/40 + 5*b**4\/6 + 3*b**3 + 4*b**2 + 39*b - 6. Find m such that z(m) = 0.\nAnswer: -4, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaalaalaalaaaslal. Give prob of picking 3 l.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and -1.953859296008.\nAnswer: 18.046140703992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.230933323 + 70.230970623. Let g = v - 69. Round g to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)*j)**(-5))**(-16) assuming j is positive.\nAnswer: j**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 38 - (-30 - (-37 - 9)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1 + sqrt(162) + -1)**2 - (2*sqrt(3872))**2.\nAnswer: -14840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -12 + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*g - 17*g - 4, 5*z - 2*g = 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1890526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -494, -3142, -5790?\n\"Answer: -2648*r + 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 28*o**2 + 75*o + 6. Let j be u(4). Is -287\/20 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*7)\/((3\/(-2))\/3). Solve -l*b = -38*b + 30 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (12 - 16 - (1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/14 - 11*r**6\/5 + 117*r**5\/10 - 28*r**4 + 73*r**3\/2 - 27*r**2 - 428*r. Let s(g) = 0. Calculate g.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.697 + -30. Let k = 0.403 + b. What is the second biggest value in 0.3, 4, k, 0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/11 + 2*l**4\/11 - 10*l**3\/11 + 6*l**2\/11 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + -1)) + 1 + (4 + sqrt(11) + sqrt(11)*-1 - sqrt(11))*5)**2*6.\nAnswer: -1320*sqrt(11) + 4554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*q**3 + 478*a**2 - 6*a*q**4 + 2*q**2 wrt q?\nAnswer: -18*a**2 - 144*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37b - -759b?\nAnswer: 795a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-6))\/(14\/(-42)). Is 154497\/245 - (-1 + (-3)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = 12*y + 8*y. Solve 0 = k + 75 - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12015959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l - 3. Let u(i) = i**2 + i. What is -h(r) - u(r)?\nAnswer: -r**3 - r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51a0 (base 13) to base 12.\nAnswer: 6644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 18501*j**2 + j - 2. Let c be a(1). Round c to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16216.89 times -5?\nAnswer: 81084.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4*(-2 + sqrt(176))*-2)**2*4 - (2*(sqrt(176)*-3)**2 - (-1*sqrt(176) + -3 + sqrt(176))**2)).\nAnswer: -85842 + 8192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87.8 - 88. Is 1.7 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.2708, 125, -7?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37899 and 51715291?\nAnswer: 465437619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*q + 28, -4*q + t + 56 = 2*t. Calculate the remainder when 95 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b - 21*b**4 + 4*b + (3*b**3 - 3*b**3 + 2*b**3)*(-2 - 2*b + 2) - b**4 + 3*b**3 - 3*b**3 - b**4 + 3 - 3.\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -54.9988. What is m rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 15. Let t be x(-6). Suppose -n = -t, n - 3 = 2*z - 6. Which is bigger: z or 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126088?\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 25001524?\nAnswer: 25001531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3, -845, 1\/2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -572.0798 - -572. Let g = -0.05 - -0.13. Let x = g + o. What is x rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4996*v = -5401*v - 17010 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 5\/2 (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:27 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5080002 or 5079998?\nAnswer: 5079998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 218582 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: Expand (1 + 4*j - 1)*(-2 + 18 + 1) - 3*j + 0*j + 7*j + (-3 + 6 + 9)*(5 - 2*j - 5).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2408*d - 2401*d - 966. What is the greatest common divisor of 1472 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1597 + -1467. Calculate the remainder when o is divided by 58.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 5 (c) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r - 2*r)*(2 - 1 - 2 - 1 + 0 - 6 + (-1 + 3 + 0)*(-1 - 1 + 0) + 4 - 5 - 1) to the form x + z*r and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2222 divided by 1\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from zzzsasassas.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110101 (base 2) in base 12?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8)*(-1 - -5). Suppose 0 = -h + 2*h - x. Suppose 3*o = -4*f + 16, h*o - 16 = -4*f + 4*o. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 - 30*t**2 - 2476*t\/5 + 8832\/5.\nAnswer: -2*(t - 3)*(t + 32)*(t + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - 1) + -7 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -26. Suppose o*w + 1240 = 10*w. Let i = w + -170. What is the remainder when i is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*j - q - 216, -4*j + 148 = -5*q. Suppose 6*h - j = 4*h. Let v = -5 + 17. Solve y = 5*k + v, -3*y - h = -k + 5*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1772, 1758, 1744, 1730?\n\"Answer: -14*q + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - p**2 - p + 2. Suppose 43*v - 63 = 22*v. Let i be ((-12)\/v)\/(12\/30). Let f(q) = -7*q**3 + 3*q**2 + 2*q - 5. Calculate i*n(g) - 4*f(g).\nAnswer: -2*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (4 + 5 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-6*(sqrt(6) + 1*sqrt(6))))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 607 + -1227. Round q to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Suppose a - 5*v = 37 - 13, -v - 16 = -3*a. Suppose 0 = -2*w + 4*l + 22, -2*l - 9 = 3*w - 2*w. Let k(p) = -2*p - 1. What is a*f(o) + w*k(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 21*g + 23, 2*u - 20 = 88*g - 86*g for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcbcccbcbcbblcccbbb. What is prob of picking 1 b and 2 l?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-216*i + 425*i - 202*i - 103 - 41)*(-4 + 4 + 2*i**2) in the form h*i**2 + u + x*i**3 + v*i and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/7, -0.2, 1447?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205 is divided by 442?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(80)).\nAnswer: -12*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*x + 8, -o - 5 + 21 = -3*x. Suppose -v + o + 1 = 0. Solve -3*l + 18 = -4*h - l, 4*h - v*l + 21 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 72*d - 4. Is r(-25) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 11 + 4 = 0. Let l be ((-8)\/(-6))\/((40\/(-36))\/d). Solve 19 + l = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -83. Let g be 36\/(-24)*(-10)\/12. Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40d + -3e?\nAnswer: -44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 - 54 = -2*m. Calculate the remainder when m is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67034427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.56, -0.08, 5, -0.4, -0.2 in ascending order.\nAnswer: -0.4, -0.2, -0.08, 3.56, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/14*((-105)\/(-70) + -1)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 133876 + 24?\nAnswer: 133900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11523 >= -195901\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*u + 38 + 13, 5*u + 21 = s. What is the smallest common multiple of 10 and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2*l**3\/3 + 3*l**2 - 2*l + 33. Let k be b(-4). Solve k*i - 2*i + 5*p = -5, -i + 2*p = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -6 - -17 - (-55 + -1 + 4 + -9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 5*b + 20, 3*c - 2*b = 17. Sort c, -1\/2, -3.\nAnswer: -3, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmrmrrmmmm. Give prob of picking 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**2 + 0*b**2 + 10*b**2 + (5*b + 0*b - 3*b)*(3 - 2 - 3)*(8*b + 4*b - 2*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 + 4*c**2)*(-2*c**3 - 3*c**3 + 3*c**3) + (-7*c**2 - 17*c**2 + 4*c**2)*(2*c**2 + 3*c - 3*c)*(2 - 1 - 3)*(-3*c - c + 5*c).\nAnswer: 78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56313.\nAnswer: 3, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89, 126, 161, 194, 225, 254, 281?\n\"Answer: -g**2 + 40*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 0*p**3 + 2*p**3 + 8*p**2 - 2*p**2.\nAnswer: -2*p**2*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 181*v - 18801. Calculate p(108).\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2227685190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqmq when four letters picked without replacement from {q: 9, d: 6, m: 1, p: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**2\/2 - u - 10. Let c(h) = -10*h - 5. Let y(x) = -30*b(x) + 6*c(x). Let t(z) = z**2. Determine y(t(p)).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00140558645 to 5 dps.\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404, 1, 3, -13, -7, 65 in descending order.\nAnswer: 404, 65, 3, 1, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 5*v - 86. Suppose 1 = 5*i - v*g - 22, 2*i - 10 = 2*g. Let b(q) = 4*q - 3. Let r(t) = 3*t - 3. Determine i*r(z) - 2*b(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1109718527 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*(-2 + 6))\/2. Let l(r) = r**2 - 16*r + 23. Let y be l(14). Sort o, 4, y in decreasing order.\nAnswer: 4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) -119 (c) 0.78 (d) -1\/3 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + 0.14. Let f = v - -2.93. What is the third biggest value in 5, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4*(-32)\/10. Let r = 0.27 + -0.56. Let y = r - -0.49. What is the nearest to 3 in -5, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -25, -2\/93 in ascending order.\nAnswer: -25, -0.1, -2\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -582. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4) + 0)*(9 - 19). Solve -2*z = -10 + 2, a*z - 12 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.28*16.\nAnswer: 52.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a*z**3 - 11*a + 42*z**6 - 12*z**2 wrt z.\nAnswer: -30*a + 5040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 6:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6*r = -1439 + 1424, 0 = 5*b + 5*r + 100 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142 and 1800.\nAnswer: 127800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 9114?\nAnswer: 100254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85533.56 years in millennia?\nAnswer: 85.53356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12311775043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589330881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2766376*x**2 + 2013456.\nAnswer: 5532752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose d - 4*d - 3 = 0, b*y = -4*d + 11. Calculate the highest common factor of 15 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {e: 1, u: 6, h: 2, l: 3, a: 2, q: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/14)\/(a\/a**(-2\/41)*a))\/(a**(-8\/11)*a*a**20*a) assuming a is positive.\nAnswer: a**(-146801\/6314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 - 12210*l**2.\nAnswer: -12210*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83719\/60 + 6977\/5. Let a(c) be the third derivative of 0 + 2\/5*c**3 + 15*c**2 + y*c**4 + 1\/150*c**5 + 0*c. Factor a(z).\nAnswer: 2*(z + 2)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 779.776 + -775. Let b = -0.124 - g. Let u = 4.9000043 + b. What is u rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-3)*33\/(-22). Let f be k + -1 - (4 - 4). Let z(b) = -327*b**3 - 17*b**2 - 13*b + 5. Let v be z(f). Round v to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 41 = -8. Let i = 7 + 13. What is the remainder when i is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135198 and 32290398.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190895 and 1046.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (7 + -5 + (16 + -5 - 2) - 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -j. Let u be (j\/(-45))\/(4\/30). Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 81 (c) -0.102 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 times -0.158?\nAnswer: 52.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 307775572 to the power of 1\/2, to the nearest integer?\nAnswer: 17544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 243?\nAnswer: 267.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 2*l + 4735 - 4663 = 0, -5*l = n + 2 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2254\/(-126) + (-648)\/(-729)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*-5*4\/(-40). Solve -2*o - 6 = -l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 101*j + 1774. Determine n(-63).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -547 + 971. Calculate the highest common divisor of d and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v**3 + 2*v**2 + 2*v + 8. Let g(p) = 8*p**3 - p**2 - p - 4. What is 9*g(w) + 4*y(w)?\nAnswer: 8*w**3 - w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(36))\/(sqrt(108)\/(sqrt(9) - sqrt(144))) - ((sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(2))\/(6*-2*sqrt(6)))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56926632*l*x - 128*l + 67672 with respect to x.\nAnswer: -56926632*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -53138088 less than or equal to -106276175\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 6*j - 6. What is the smallest common multiple of a(3) and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - i**2 - 2 + i**3 - 5. Let p(u) = -u**3 - 2*u**2 - 2*u + 1. Let q be p(-2). Is t(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/878? (a) -0.06 (b) -107 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371 - 370.9. Let m = 1.7 + -1.77. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2\/3 (c) -14 (d) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 94*c - 682. Let y be f(-12). Let u(l) = 8*l - 5. Let x be u(5). Calculate the highest common factor of y and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let j be (-9)\/(-12)*8\/39. Which is the nearest to 2\/3? (a) o (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/43 + -21\/473. Is w at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/2 - 7875*f**3\/2 + 67305*f**2 - 174330*f + 110964 = 0. What is f?\nAnswer: -2642, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 502 + -496. Which is the closest to 1? (a) 0.05 (b) -0.4 (c) 3\/7 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61992, -123517, -185058, -246621, -308212, -369837, -431502, -493213?\n\"Answer: -v**3 - 2*v**2 - 61512*v - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 5 + (13 - 25) - -6) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25319931.\nAnswer: 3, 7, 13, 163, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69783768?\nAnswer: 2, 3, 35897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 325150456 - 325150452 + 650300911.\nAnswer: 8*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162322 - 3626?\nAnswer: 156474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40395988907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/124*(-144)\/(-702)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.03.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12918400 and 17600?\nAnswer: 12918400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = 5*r. Let u(o) be the second derivative of -o**5\/10 - o**4\/3 - o**3\/2 - 15*o. Determine u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*o = 39, -32*o + 34*o = -2*k + 12. Let w(r) = r + 14. Let z(a) = -5*a - 57. Determine k*w(x) + 2*z(x).\nAnswer: -x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129 (base 10) to base 13.\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u + 1362*u**3 - 5*u - 1364*u**3 - 4*u + (-2*u**2 - 2*u**2 + 5*u**2)*(-4*u - u + 2*u).\nAnswer: -5*u**3 - 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 715, 2542, 5587, 9850?\nAnswer: 15331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2908 - 8723\/3. Which is the second smallest value? (a) 0.4 (b) 2 (c) -0.7 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3649734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 7. Let d(k) = -5*k + 8. Let m(z) = -4*d(z) + 5*q(z). Differentiate m(n) wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36512 and 15648?\nAnswer: 109536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25990064 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 350564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27559 + 193013\/7. Factor -4\/7*k**3 - 60\/7*k - 36\/7*k**2 + j.\nAnswer: -4*(k - 1)*(k + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3071, 6142, 9213, 12284, 15355?\n\"Answer: 3071*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 3. Let i(x) = -3*x + 7. Let k(p) = 3*i(p) - 5*m(p). Calculate k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-13)\/8 - 288255\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 11 - 22)*(-2*a + 2*a - a).\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 4*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167.8 + -2.2. Let f = -170.000455 - a. Round f to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59596 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44774, 89528, 134268, 178994, 223706, 268404?\n\"Answer: -7*i**2 + 44775*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttdd when four letters picked without replacement from {o: 2, b: 1, d: 8, t: 2, f: 2}?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/489224 and -14\/1039601.\nAnswer: 8316808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.18 - 6. Let q = w - -0.82. Which is the nearest to 0? (a) 3 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9391 + 9411. Let l = -111 + 211. What is the lowest common multiple of j and l?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-6)\/4)*-8. Solve -5*p + 24 = h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/120 + 43*a**4\/36 + 137*a**3\/12 + 81*a**2\/2 - 359*a. Find r such that x(r) = 0.\nAnswer: -81, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633662, 1267324, 1900986, 2534648, 3168310?\nAnswer: 3801972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3743 is divided by 44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 2208683.\nAnswer: -30921562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 18790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-384)\/7 - (-1241 - -1239)\/(7\/(-4))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -9) + 12 - 11 - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 315 = -5*r. Differentiate 45*q + r + 50*q + 14*q + 0*q with respect to q.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3448*y + 173. Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0.8. Let l = 5.05562 + -0.05562. Put -6, r, l in ascending order.\nAnswer: -6, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/44387175 and 7\/27.\nAnswer: 399484575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/330 + 25*f**4\/66 + 32*f**3\/11 - 324*f**2 - f. Find z, given that j(z) = 0.\nAnswer: -48, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -138, -271, -402, -531, -658, -783, -906?\n\"Answer: p**2 - 136*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/36 - (-20)\/(-24). Factor 0 + y*i + 2\/9*i**2.\nAnswer: 2*i**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 44882631.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 30 = -5*a + 4*h, -5*h - 28 = -4*a. Let -a - 7*w + 3*w - 6*w - 2*w - 18*w**2 = 0. What is w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -187745*f + 187750*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-729)\/(-21) + (-4)\/(-14). Let g(t) = v + 3*t - 35. Let s(x) = -10*x. Give g(s(i)).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 3734786?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 3*y + 12, 4*h = -4*y + 4. Solve -h*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 times -0.03674?\nAnswer: 0.286572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349054038.\nAnswer: 2, 18223, 64453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2. Let b(s) be the second derivative of 7*s**4\/3 + 184*s. Calculate b(i(o)).\nAnswer: 700*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 266 + -284 + 53 + 0\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/505 in -1\/3, 5, 0.1, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*8\/(-30). Let x(y) be the first derivative of 0*y**3 + 0*y + 0*y**2 - 1 - j*y**5 - 1\/6*y**4. Determine d so that x(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432399134*r**2 + 3254657*r - 43 wrt r?\nAnswer: 864798268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 66.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**7\/21 + 2*q**6\/5 - 7*q**5\/5 + 8*q**4\/3 - 3*q**3 + 2*q**2 - 2*q. Suppose n(u) = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 + 14)*((13 - 20) + 16)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 12:27 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000068034 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a*a**(1\/9))\/(a**(-2)\/a**(-2\/19)) assuming a is positive.\nAnswer: a**(514\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 (base 4) in base 16?\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 271, 540, 809, 1078?\n\"Answer: 269*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(12)\/sqrt(4) + 4)**2 + 3.\nAnswer: 48*sqrt(3) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44629796 is divided by 512986.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15 + (-207)\/(-48)*26\/195?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/20 and -145\/96888.\nAnswer: 484440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 17 - 7 = 0. Let x = 0.1704 - 3.1704. Which is the nearest to x? (a) -0.1 (b) -2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/40 - b**5\/15 + b**4\/12 + 4*b**3\/3 + 8*b**2. Suppose -2*p + 12*o - 10 = 10*o, 0 = -4*p - 2*o - 14. Does 8 divide h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19396157 is divided by 1120?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.665 to 1 decimal place.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 58*m**2 - 2299*m + 345. Let q be b(85). Let g = 9 - 3. Solve g*c + 4*f + q = 7*c, -15 = -3*c + 5*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9030186 >= 9030186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*m + 16, -m - 3*a + 7 = -1. Suppose 36 = u + m*i, -u - 2*i + 20 = -i. Suppose 4*z + 35 + u = 3*v, 0 = -3*z. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-9*((-16)\/(-36))\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6161453 - -0.22.\nAnswer: 0.8361453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -88927 <= -89014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.066 + 49.066. Let x = -48.96 + u. Put x, 1\/4, 3 in increasing order.\nAnswer: x, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-7) - (-48)\/63. Let q(j) be the first derivative of -3*j**2 + z*j**3 + 2*j + 3. What is u in q(u) = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -26. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125185, -125181, -125167, -125137, -125085, -125005, -124891?\nAnswer: -124737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132587561*b**2*g**3 - 3471*b**2*g - 655*b*g**2 - 4*g**2 wrt g.\nAnswer: 795525366*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16047 (base 8) in base 11?\nAnswer: 5462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(2299) + 4)) + sqrt(684) + sqrt(684) + -1 + 0)**2.\nAnswer: -20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1272463648 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-25))**(-15))**23 assuming n is positive.\nAnswer: n**8625","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.8\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*a**3*o + 2*a**3 - a**2*o - 4*a**2 + 35*a*o + 19*a - 2*o - 2 wrt a.\nAnswer: -162*a*o + 12*a - 2*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-18)\/(-21) - 178476\/168)*-2?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**2 + 0 + 5\/12*y**4 + 1\/30*y**6 - y + 0*y**5 + 0*y**3. What is the third derivative of c(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 7*j**2 + 16\/3*j**3 - 3*j + 6 + 1\/4*j**4. What is the units digit of p(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23326 and 2354.\nAnswer: 256586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.639 + -1.709. Let f be 22\/(-6) + (-7)\/21. Let o be ((-1)\/(-2))\/(11\/f). What is the biggest value in o, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14 - 6)*(5*s**2 + 4 - 4) - s**2 - 3*s**2 + 2*s**2 + (-21*s**2 + 4*s**2 - 6*s**2)*(1 - 5 + 2).\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 - (0 + 10\/25 + 17712\/2320).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156 or -72512?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffhhfhfyffrhhhffhfy. Give prob of picking 2 f.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -135, -269, -405, -543, -683, -825?\n\"Answer: -u**2 - 131*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 7. Let v be o(10). Suppose -12*b = -13*b + v. Let z = 23 - b. Calculate the greatest common divisor of 8 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) + (-4829)\/(-99). Let f = b - 23. Let m = -47 - -54. What is the remainder when f is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7)*r*r*r*r*(r*r\/r**(4\/7)*r)\/r)\/(((r*(r*r*r**(2\/9)*r)\/r*r*r*r)\/r*r*r)\/r*r*r\/r**8) assuming r is positive.\nAnswer: r**(373\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, a: 11}. Give prob of sequence cca.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 > 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1563 + 4?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 15*f = -12. Suppose 506 = 4*q + 2*k, f*k + k + 20 = 0. Is q a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-4)*(-1 - 22\/(-6)). Let h(p) = -p**2 - 2*p - 3. Let a be h(-5). Let m = a - r. Calculate the smallest common multiple of m and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (31 + (6 - 20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*a**3 + 50*a**3 + 104*a**3.\nAnswer: 225*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2527, 2364, 2201, 2038, 1875, 1712?\n\"Answer: -163*t + 2690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8250 + -5112. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 34. Let a = -13477\/55 + 1237\/5. Calculate the common denominator of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-2)*9\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 19\/1408?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Let l(g) = -2*g**2 + 7*g - 7 + 2 + g**2. What are the prime factors of l(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686126 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33.22 or 6\/49?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44879?\nAnswer: 44879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/76095 and 103\/608.\nAnswer: 2435040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j. Let t(y) = -5*y**2 + 3046*y. What is t(d(v))?\nAnswer: -1125*v**2 - 45690*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = x + 10689. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -64*y + 1. Suppose 0 = -47*k + 22*k + 25. What is b(k)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 762, 1544, 2592, 3900, 5462, 7272, 9324?\nAnswer: 11612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-1728)*15)\/((-45)\/12).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 7*z**2 - 9*z + 2. Suppose 48 = -4*r - 4*p, -r = -0*p + 5*p + 28. Does 3 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 9*o - 3 - 134*o**2 - 5 - 2 + 146*o**2 + o**3.\nAnswer: (o - 1)*(o + 2)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 4 + 4 + (-4 + 4 + k)*(3 + 0 + 0) + 7 - 7 + 3*k to q*k + g and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560108 and 60884.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1401167 - 25348675.\nAnswer: -26749842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*s, 2*s + 0 = -5*q - 9. Solve 5*j - 18 = -4*y, -s*y + 12 = j + 2*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24885, 33079, 41273?\nAnswer: 49467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.5 + -18. Let y = p + -1.5. Which is the closest to -1\/4? (a) y (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + (sqrt(1900)*-4 + sqrt(1900) - sqrt(1900)) + 0)**2.\nAnswer: 160*sqrt(19) + 30402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -18*r**3 + 1456*r**2 + 169*r - 570. Give o(81).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/18)\/((-10)\/(-6))*5. Let v be (-56)\/(-1 - (3 - r)). Suppose 13*b = 2*b + 88. Solve -u + b = -n + 2, -5*u + 3*n + v = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76336 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/375515868 and -67\/550956?\nAnswer: 2628611076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4\/(-120)*-12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9624952 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 78, 77, 92, 129, 194, 293, 432?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1700 + 1724. Calculate the highest common divisor of 384 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -c - 12, -5*u - 77686 = 2*c - 77657 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c63 + -1?\nAnswer: 1c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0332*-0.5\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 + 6*a - 6. Calculate k(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*w = -6*w + 4, 4*f = 5*w + 73. Let p be 10 - -3*(-4)\/f. Solve -5*d - p = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 + 2*n - 4. Suppose 4*s = 0, 0*g - 5*s + 8 = 2*g. Suppose 0 = -u - 1 - g. What are the prime factors of p(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*r - 2*q - 14792, -5*r = 3*q - 14768. What are the prime factors of r?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/882 and -121\/22302.\nAnswer: 156114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 + (0 - 1)). Let a be 0 - (-22 - 2*m). Let s = 2 + 1. Solve -r = s*r + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (54 - (40 - 8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -152 + 91 + 143.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from loupepulpupouut.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -8*v - 4. Suppose v*f - 5*f = -9. Solve -2*s + 5*r + 5 = -3, f*r = -6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -690, -687, -676, -657?\n\"Answer: 4*t**2 - 9*t - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -25)*(-4)\/(1 - 121).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3284)\/126434 + 8\/(-231).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 17. Let r = v - -2. Suppose r*h - 26 = 2. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 9*a - 6. Let p(s) = s + 4. Let k be p(4). Let b be 0 - k\/(-2)*1. Is g(b) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1550\/31 + 11 + -37. Let j = 1 - -8. Solve h = j*g - 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 5*a**2 - 7*a - 38. List the prime factors of m(-8).\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2246*k - 40437. Give r(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/(-2)*16\/36*4158\/4620.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414 by 46.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 - 8*y**2 + 31*y - 2. Determine m(4).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -2.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14633239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2 + 7203224*r - 43219416 = 0.\nAnswer: -3601618, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1296 = -26*i. List the prime factors of (-636)\/i + 1\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2700 and 50700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-20)\/8)*2\/6. Let q = 2 - 4. Sort 4, k, q in descending order.\nAnswer: 4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayy when three letters picked without replacement from {d: 6, h: 1, f: 2, a: 4, x: 1, y: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8641084 (base 11) to base 3.\nAnswer: 1001121011210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*u - 66*u + 56*u - 1 + 0 in the form i*u + c and give i.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55720952 and -0.4.\nAnswer: 22288380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-18)*6\/9*-8. Suppose 3*o = -a + 23. Let p(k) = k**2 - 5*k - 1. Let q be p(o). Are q and 1\/41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, -0.1, 2.7, 44.\nAnswer: -2\/7, -0.1, 2, 2.7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100998832 divided by -304\nAnswer: 332233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*r + 3*i, 0 = -2*r + i + 6 - 0. Suppose -4*n + 549 + 239 = -4*v, -n + r*v + 213 = 0. What are the prime factors of n?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 19 = -h - 13, 2*z + 3*h + 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*y - 5. Let t(c) = -2*c**2 + c**2 - 2*c + 0*c**2 - 4*c**3 - c**2. Let s(o) = o**3 + o**2 - 1. Calculate y*s(b) - t(b).\nAnswer: 2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**28\/(b\/(b**(1\/9)\/b*b)*b))**7)**(-3) assuming b is positive.\nAnswer: b**(-1645\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-29 + 14 + (-30 - -25)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93720 and 18533130?\nAnswer: 74132520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 3*i**2 + 4*i + 3. Let c be z(-4). Suppose 0 = -57*b + 53*b - 8. Sort -4, b, c in increasing order.\nAnswer: -4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 16*g + 45 = 0. Let r = -14 - -17. Solve -6 = 2*s - 4*v, -g*v = -3*s - r*v - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86450583 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*4*6\/(-4). Solve -1 = -n*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 2960809. Let o(z) = 6*z. What is o(b(r))?\nAnswer: -6*r - 17764854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h)\/h**(-1)*h**7\/(h\/((h\/h**5)\/h*h)) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.962 times 0.81?\nAnswer: 1.58922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*o - 5*u, 1772*o - 1775*o = 7*u + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14162.559 + -0.55.\nAnswer: -14163.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/6 + 9*w. Let t(n) be the second derivative of 2*n**3\/3 + 2*n. Calculate h(t(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.395 + -35.395. Suppose -5*v - 60 = -0*v. Let m be (-3)\/v + (-22)\/(-8). Which is the fourth smallest value? (a) 0.4 (b) m (c) n (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 12077*d - 12072*d - 8*x, -5*x = -3*d - 10 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 86*x + 20. Let y be d(6). Let c = y + -344. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(68)\/(sqrt(16)\/sqrt(4))*-1 + -1).\nAnswer: -4*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q*q*(q\/(q\/(q**(1\/9)\/q)))\/q)**18\/(((q\/(q*q*q\/(q\/q**1)))\/q)**(-4\/7)\/((q**1\/q*q)\/q)**(-50)) assuming q is positive.\nAnswer: q**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j. Suppose 4*n - 18 = -2*g, j = n - 3. Is g\/(-2)*4430\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14389*x**3 - 14397*x**3 - 9*x + 13*x. Let c(h) be the third derivative of -7*h**6\/120 + h**4\/8 + h**2. Let n = -3 + 6. Determine n*g(d) - 4*c(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + (sqrt(363) - 2*sqrt(363)*-2) + -1)**2 + 1.\nAnswer: 110*sqrt(3) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 + 449. Let u = 9 - 8. What is the closest to u in 0.2, f, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0*2\/(-4). Suppose -4*n + 3*h + 1810 = x, -5*n - 3*h + 551 + 1698 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4048 and 485584?\nAnswer: 11168432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)\/w*w)\/w*w**(2\/47)*w assuming w is positive.\nAnswer: w**(104\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 9252 + 2186 = 0. Does 43 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**2 - 34348224*i - 73737530747136 = 0.\nAnswer: -4293528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 12*a + 2614. What is l(24)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3625020 divided by 548.\nAnswer: 6615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1195582 divided by -883.\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117424096.\nAnswer: 2, 173, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54810.6m to nanometers.\nAnswer: 54810600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.13. Is s bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-105) - (-43)\/15)*12\/(-45)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 92185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99965?\nAnswer: 5, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 4. Let d be (-4 + -1 + 3)*(-4)\/(-8). Put d, 3, t in ascending order.\nAnswer: d, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 - -1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -36. Suppose 2*g + 1 = 3*g, 0 = -2*t - g + 21. Is c less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 58 (b) 31 (c) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622723*l - 622723*l + 5 - 5 + 82*l**2.\nAnswer: 82*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 - 4*c - 18. Calculate the lowest common multiple of 2 and i(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6487, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q\/(q*q**7*q*q)*q)\/q)\/(q\/((q\/q**(5\/7)*q)\/q)))**(-1\/8)\/(((q\/q**(-6\/7))\/(q*q*q\/(q\/(q**(5\/3)*q)*q)*q))\/(q**9*q**(-2\/17))) assuming q is positive.\nAnswer: q**(18073\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1843*a - 195*a - 1654 - 24840 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1238121463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 44*d = -43894 + 12720. What is the highest common factor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 116999?\nAnswer: 3275972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/208 and -9\/41882.\nAnswer: 4355728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (911 - 1853 + 914)*(0*t**2 + 0*t**2 - 2*t**2) to s + i*t**2 + y*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/15)\/12*-42 + (-1898)\/26?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2916 and 149\/144?\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40955956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*s + 22 = -0*j, -4*s - 9 = j. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13c2b (base 15) in base 5?\nAnswer: 4012431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 4)*(-c**3 - 7*c**3 + 5*c**3 + (0 - 2*c**2 + 0)*(c + 2 - 2)) in the form a*c + x + r*c**3 + l*c**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 543*u**2 - 2*u. Let s(r) = 540285*r**2 - 1991*r. Give 1991*d(j) - 2*s(j).\nAnswer: 543*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 12. Let a(g) = 160 + 182 - 329 + g. Let v(r) = -4*a(r) - 5*k(r). What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -72, 5, 27, -25 in descending order.\nAnswer: 27, 5, 3, -25, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25 - -0.05. Let n be 3\/(6\/(-4) + -3). Let d be 1\/5 + (-3)\/(-60). Sort n, u, d in increasing order.\nAnswer: n, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199469, -398938, -598405, -797870?\nAnswer: -997333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -26 - -5 - 62.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6*a + 80. Let n be (a\/6)\/(2\/3). Let m = 3 - -1. Sort n, -2, m in decreasing order.\nAnswer: n, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/22, -1, 6, 0.15, 0.\nAnswer: -1, 0, 1\/22, 0.15, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8471 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and -83862.59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154424 less than -87300509?\nAnswer: -87454933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 15*w**2 + 10*w - 12. What is g(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = -8. Suppose 5*z + 2*f + 6 = j*f, -2*z = 2*f - 12. Suppose -z*q + 10 = 2*g, -2*q - g + 7 = -4. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 0 - 25\/(-10). Which is the biggest value? (a) 2\/13 (b) z (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b1c + -123?\nAnswer: -2c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/8 + 4295\/60 - (-5)\/(-15)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 2314 - 4878 + h**3 + 2565 - 342*h to w*h**2 + o*h**3 + l + i*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1633\/150 - 32\/25. What is the common denominator of s and 385\/300 + 3 + -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.57972 take away 42.063803?\nAnswer: -52.643523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**7\/336 + z**6\/40 - z**5\/160 - z**4\/4 - z**3\/3 + 29*z. Factor y(q).\nAnswer: -q*(q - 4)**2*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 11. Let t = 3 + 1. Let i be -3 - ((-15)\/t + 1). Which is the second smallest value? (a) i (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - h)*(-2609*h**3 - 19 - 254*h**3 + 18).\nAnswer: 2863*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4241 + -29776\/7. Let v = 13 + p. Let x = -11 - -6. What is the closest to -0.1 in v, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + d = -22, 5*u = -5*d + 3*d + 22. What is the units digit of (-2)\/6*u*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 + 8*c + 10*c**2 - 7 + 2*c**5 + 137*c**4 - 10*c**3 - 139*c**4 = 0. Calculate c.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:21 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5 + 131*c**4 + 9*c**3 - 1179*c**2 = 0.\nAnswer: -3, 0, 3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-5)\/((-15)\/(-6)) + 0. Let y = 16 + -15.9. Which is the third smallest value? (a) 2\/3 (b) 1 (c) f (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:04 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2092 - -2087.9. Sort 5, t, 1 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**3 - 14*z**2 - 44*z - 37. What are the prime factors of v(-7)?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 126056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.5. Let i = 2 + 3. Let g = 3451 - 3442. Which is the closest to 1? (a) z (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 27996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -7071, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9777*l + 7598 + 60841 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79 and -92.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4909854.\nAnswer: 2, 3, 818309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*u - 2 + (3 + 0 + 0)*(-1 + 3*u + 1) in the form i + d*u and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + d + 11, -y + 0*d - 2*d = 1. Solve 4*f + 10 = y*t, 4*t = f - 3*f + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*d - 28*d + 122*d**2 - 33*d + d**3 to the form q + z*d**3 + r*d + o*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/10*133\/((-21147)\/(-530))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -1. Suppose -5*i = -2*t + 19, 35 = 2*t - 3*i + n. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*(200\/8)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zez when three letters picked without replacement from zzezeezzeezzezzzezz?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 4, 10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.23392 to one dp.\nAnswer: -71.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1038*u - 2836. What is a(-3)?\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 18635 = -11293. What are the prime factors of t?\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:26 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -320*j - 4. Let q(u) = -319*u - 3. Let p(n) = 4*h(n) - 5*q(n). Let v be p(-1). What are the prime factors of -1*5\/20*v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 11*k**2 - 27*k + 10. Let r be s(13). Let z(m) = 4*m + 16. Let j be z(r). Solve 5*b - 3 = j*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*(-29)\/203*98\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 80. Let p = -49.4 - x. Let z = p + -0.6. Which is the third smallest value? (a) 2 (b) 3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1035034*o*p**2*q**4 - 2*o*p**2 + 2*o*p*q**4 + 4*o*p + 103*o*q**2 + 13*p**2*q**2 wrt q?\nAnswer: -24840816*o*p**2*q + 48*o*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5474 a factor of 218242906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 29. Suppose -6*y - 27 = 99. List the prime factors of s(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**13))\/u)\/(u*u**(3\/31))*u**(-31)\/u**20 assuming u is positive.\nAnswer: u**(-2049\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:10 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 3*x + 1 + 11611*x**2 - 43186*x**2 + x)*(0 + 1 + 0) to the form p*x + b*x**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 231690*x**3 + x**2 + 4*x - 105026908.\nAnswer: 695070*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57791?\nAnswer: 57791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3106237 to the nearest 10000.\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 6*j**3 + 4*j**3 + j**2 - j**2 - 2*j**3 + (-3*j + 4*j + j)*(2*j**2 - 2 + 2) + j**2 + 2*j**3 - j**2)*(2*j - j - 2*j).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 671*s - s**3 + 4 + 672*s as n*s**3 + l + t*s + z*s**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.5 (c) 8\/173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 55 (c) -863 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162 less than -23.7?\nAnswer: -6185.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 7. Determine h(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(567) + 2 + sqrt(567))*-5 + sqrt(567))*6)**2.\nAnswer: 524880*sqrt(7) + 14912748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-8 - -4)*((-2888)\/728 - (-7 - -3))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8834623738284 take away -0.8?\nAnswer: 8834623738284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105034 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 + 58*l**2 + 4*l - 19*l**2 - 17*l**2 + l**4 - 20*l**2 to the form r*l + y*l**4 + m*l**3 + v + x*l**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-336) + (-7)\/28. Is 0 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -288 + 441. Let g = -29377 + 29529.03. Let j = p - g. What is j rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + 3*a**2 - 21*a**2 + 6*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4080 or -4084?\nAnswer: -4084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352400125 to the power of 1\/2, to the nearest integer?\nAnswer: 36775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 1 - 3*x + 3 + 11*x + x**3.\nAnswer: (x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(9\/(-12))\/(21\/(-14)))\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 3*o**3 + o**3)*(-8 + 2 + 1).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3733 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 - 96. Let o = y + -55. Solve s = -2*s - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3527 is divided by 563?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i**2 + 1. Let q(j) = 28*j**2 + 2 - 16*j + 5*j**3 - j**3 + 2 - 2*j. Let o(u) = -5*h(u) - q(u). Determine o(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 397996 and 5191.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-6 + -14 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/508428 and -53\/282460.\nAnswer: 2542140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331257402.\nAnswer: 2, 3, 7, 127, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k + 26. Let w be (-21)\/k*8\/6. Are w and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019676 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 9 = 26*l. Calculate the least common multiple of l and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Suppose -26 = m*y - 106. What is the lowest common multiple of y and 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/(-783))\/(1\/24)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -213*o**2 + 1783*o**2 + 1 - 1018*o**2 + 1836*o**2. Is y(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218439243.\nAnswer: 3, 11, 200587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 95?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (14 - 8) - (21 + 0 + 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12295285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051 (base 6) in base 4?\nAnswer: 31333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v. Let f = -113 + 118. Let p be -7*(320\/56 - f). Let n(k) = k**2 + 6*k. Calculate p*n(j) - 4*r(j).\nAnswer: -5*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -21*o**3 + 4*o**2 + 4*o + 4. Let f = 842 - 793. Let w(i) = 252*i**3 - 49*i**2 - 49*i - 49. Calculate f*x(h) + 4*w(h).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20800 - -478402\/23. What is the nearest to -812 in -1\/6, 0.3, 3, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15552 and 129924.\nAnswer: 6236352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1 + 15 + -259. Let o = -124 - a. Suppose -o = -3*b + 36. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1369 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/65 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8558.648 millimeters?\nAnswer: 0.008558648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 2.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (564\/(-1410))\/((-8)\/(-10)). Let p = -2 + -3. Let i be 36\/10 + (-2)\/p. Put -4, r, -5, i in increasing order.\nAnswer: -5, -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 152, 297, 498, 761, 1092?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 210 = -0*n. Suppose 23 = x - n. Suppose -4*h - 2*p + x = 0, 46 - 138 = -5*h + 4*p. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 10. Suppose 3*p + m = 6*p. Solve -4*l = h - 11 - 5, 1 = p*l - 2*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - (-136)\/36. Suppose 5*i - 2*t - 57 = -19, k*i - 8 = -4*t. Solve -10 = i*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/7 - (-4)\/28. What is the nearest to d in -1, 5, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d + 20. Let k(g) = -g**3 + 7*g**2 - 7*g + 5. Let z be k(d). Which is the closest to 0? (a) 5 (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 374753179 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:19 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 13 - 3*o - o - 4*o. Let w be q(-9). Suppose -3*r - 164 = -w*n, -2*r = 2*n + 2 - 70. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**6\/60 - g**3\/3 + 3*g**2\/2 + g. Let f(s) be the first derivative of c(s). What is the derivative of f(t) wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:53 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007546438 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - f)*(2*f**3 + 7*f**3 + 0*f**3) + 5*f**4 - 5*f**4 + 2*f**4.\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263 is divided by 383?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(1\/24))**(-3\/10)\/((k**(-1\/4)\/k)\/k**(-3\/8))**(-4\/13) assuming k is positive.\nAnswer: k**(-127\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-15)\/13 - (-15)\/585*201. Sort -1, 2, u, -16, -3 in descending order.\nAnswer: u, 2, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187 take away -1.8?\nAnswer: 1188.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*z**2 + 0 + 4*z.\nAnswer: -2*z*(z - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*o + 10 = 0, -2*o = -3*x - 8. Let m be (0 - -9)*(-2)\/x. Solve 3 = -0*n + m*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfh when four letters picked without replacement from fhvhffjvvf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*y**2 + 45840*k*y + 476*y**2 - 1114 with respect to k.\nAnswer: y**2 + 45840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/((-12)\/9)*(36 + -38)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972 = o + 976 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, o: 4}. Give prob of sequence occo.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-201)\/134)\/(78\/4)*6\/66*11?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 234956, 17 in descending order.\nAnswer: 234956, 17, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192221 + 0.05.\nAnswer: -192220.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16980)\/11320 - (7\/((-63)\/6) + (-2)\/(-8))\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 5*x. Let d be f(-5). Suppose 0 = -d*c + c - 5. Suppose 20 = -5*q, -q = -c*r + 4*q + 40. Solve r*z - z + 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.23? (a) 1\/7 (b) -48 (c) 659 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-6)\/(-3))\/1. Let s be ((-2)\/(-2))\/(7\/(-924)*q). Calculate the greatest common divisor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (-1 + 2 - 1). Let a(s) be the second derivative of s**4\/6 - s**3\/3 + 5*s**2\/2 + 8*s. Is a(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63497.57 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3208 + -1953. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 7*y + 8. Let o(i) = -3*i - 3. Let f be o(-3). Let r be c(f). Let g be (-2)\/(-9) - r\/(-18). Solve 17 = -5*x - q, -1 = 2*x - 2*q + g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-16) + (-14)\/(-4). Suppose -8*o + 200 = -q*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by (0 + (-288)\/(-30))\/((-18)\/5 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -577\/4 or -2\/95?\nAnswer: -577\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(54)\/sqrt(3) + sqrt(16)\/sqrt(72))**2).\nAnswer: -418\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313854 is divided by 123.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1.5. Let l = 1 + q. Let p = 4.3 - 4. Put p, l, 5\/4 in increasing order.\nAnswer: l, p, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2 - (-4 + -3)) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -5 (b) 3 (c) -8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i. Suppose 5*q = -2*r - i + 5, r = 3*q - 14. Solve -3*d - 14 = 4*c, -q*d + 5*c = -48 + 17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and -637.\nAnswer: -637.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75352*n**5 - 79661*n**2 wrt n?\nAnswer: -4521120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*3)\/(10\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -18, -4.973952 in descending order.\nAnswer: 0.1, -4.973952, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61717 is divided by 4393.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13395\/236 != -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*y - 357 = -90, 3*y = 2*s - 117. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 7*b - 45751 + 139936, -2*x - 5*b + 37674 = 0. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3916\/36 - 4\/(-18). Let a = o + -548\/5. What is the second biggest value in 3\/5, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 2\/9835 (c) -2 (d) 4 (e) 1\/3 (f) -12 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/9? (a) 3 (b) -29550 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 6. Let i be (0 - 0)\/((2 - -6) + -7). Let v = 6.6 + -6.5. What is the closest to i in a, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -7*y + 954. Suppose 0 = f - 4*g + 33 - y, -2*f - 2*g = -252. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**12*v*v*v*v**(-9))\/(v*v**3*v\/(v\/v**(-2\/17))))**(7\/3) assuming v is positive.\nAnswer: v**(84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**4\/3 - 13186*h**3\/3 - 108184*h**2\/3 + 91858*h\/3 + 9840 = 0. What is h?\nAnswer: -1640, -9, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 5, h: 2, e: 1, y: 4, c: 4}. Give prob of sequence ye.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33049903 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: Simplify 1*(sqrt(57) + sqrt(2052)*-1)\/(sqrt(30)\/(sqrt(30)\/sqrt(3))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5049242 - 2272\nAnswer: -2272.5049242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b. Let o be 55 - 3\/9*b. Let y = o + -31. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/(7 - -1)*557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/((i*i**0)\/i)))))**(1\/39) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let p(i) = 2*i + 860. Let z(u) = 32. Let g(v) = p(v) - 2*z(v). Give g(f(y)).\nAnswer: 2*y + 796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1187 - 17)*(-1 - (-1)\/3). Let t be -7*445\/n + -4. Is t at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3663 + 6.3663. What is the fourth smallest value in -0.23, -1, t, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 3, n: 1, d: 3, x: 2, h: 1}. What is prob of sequence tn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from zjajaz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 + 11*l + 5. Let r be t(-7). Let m be r\/(-10) - 6\/15. Let k(i) = 3*i**2 + 4*i - 1. Is k(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.14754mg to nanograms.\nAnswer: 91147540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.018 + -0.182. What is the third smallest value in v, 1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + 3.8. Let g = 7.3 - j. Sort -1\/7, g, -1\/4 in ascending order.\nAnswer: -1\/4, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6091 and 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 g when four letters picked without replacement from {g: 5, b: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let z(h) = -h**2 + 4*h + 7. Let m be z(5). Let d = 0 + m. Let a(g) = -5*g**d + 2*g**2 + 5*g**2. Determine r(a(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14797 < -5888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/(3\/(-81)). Let r be (k\/(-6) + 3)*2. Let n be 1\/(-2) - (-5)\/10. Solve n = -r*d, -m - 4*d = -3*d - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*j - 17 = 2*j, -u + 3*j = 7. Suppose 0 = l - 6 - u. What is the units digit of (-3)\/(-12) - l\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 13. Let n = -36.1 + u. Let p = -3 + n. Which is the nearest to p? (a) 3 (b) 2\/7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(833) + (sqrt(833) + sqrt(833) + -1)**2)) + -2*sqrt(68)\/sqrt(4))*-3 - ((-5*sqrt(34)*-2)\/((sqrt(44)\/sqrt(2))\/sqrt(11) + sqrt(2)))**2.\nAnswer: -60*sqrt(17) + 9574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -403*r + 526*r = 2262*r + 1939*r + 297694 for r.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1308554352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90074 - 59990. Does 196 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -12\/11, -1\/6, 3.91536?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10))**(3\/2) assuming u is positive.\nAnswer: u**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 589764 and 9163?\nAnswer: 6487404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210514 (base 7) to base 14.\nAnswer: d30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196 - 202. Let g be -44*k\/12 + (1 - -2). Solve -g = -3*m - 2*d - 0*d, -4*m - 4*d = -40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 6. Let i be t(3). Let k = -23\/25 + 3\/25. Let y = k + 2\/15. What is the second smallest value in y, -1\/3, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v + 5*c = -441 - 0, 0 = -2*v - 5*c - 57 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 124 = 80. Is y at most 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 364\/20 - 1\/5. Let h be 6\/15 - q\/(-5). Solve 0 = p - k + 2, -p - p = h*k - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 - 56*l**2 - 2*l + 30. Let z(q) = 3*q**3 + 20*q**2 + q - 10. Let j(k) = -4*x(k) - 11*z(k). Give j(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*o + 3. Suppose 13 - 45 = -17*h + 36. Solve t = s, -3*s = o*t - h*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 11*t**2 - t + 14. Let r be n(11). What is the second derivative of 7*a + 2802*a**r - a**4 + 0*a**4 + 2 - 2781*a**3 wrt a?\nAnswer: -12*a**2 + 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 + 2*y + 1. Let h be s(-2). Let m = h - 9. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 258.813927 nanoseconds?\nAnswer: 0.0000000000029955315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 4, -1, 1109.66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 108. Suppose 0 = 4*v + 2*i - 7*i + 13, 0 = 3*v - 4*i + 11. Suppose 0 = a*r - 4*r + 3, 2*j - 71 = v*r. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 - -73 - -233 - (-5 - -1 - 0)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 - i + 1. Let o be h(-7). Suppose -3 = -o*m + 7*m. Which is greater: m or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -237. Suppose -17*l + 33*l = y. Calculate the highest common factor of 215 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 0.5. Let y = 6 + -9. What is the third smallest value in s, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 + 2*z + 0 + (4 + 1 - 2)*(11*z + 3*z + 8*z).\nAnswer: 68*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (0 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -15, 10, 0.1, -6\/7.\nAnswer: -15, -6\/7, -0.5, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/1029)\/(2\/18 + 0).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12530998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**(2\/5)*u)))*u**0*u)\/(u**0\/(u**(-2\/5)*u)) assuming u is positive.\nAnswer: u**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -2*k**5\/15 - 7*k**4\/6 - 4*k**3 + 11*k**2 + 19*k. Let z(t) be the first derivative of p(t). Solve z(d) = 0 for d.\nAnswer: -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s - 876 = -659*s - 11442 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 1487799288.\nAnswer: 1487799287.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310880.5 + 310880. Let v = 4 - 7. Which is the nearest to 55? (a) 2\/7 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Suppose 0 = -5*a + z, -j - 3 + 1 = 4*a. Does j = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1785, -0.4, 731, 2\/11, -4, 4?\nAnswer: 1785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46698.14 centuries in months?\nAnswer: 56037768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*h + 217*h + 304*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44080243 + 0?\nAnswer: -44080243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - 1752\/3)*-3. Calculate the highest common factor of b and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 6}. What is prob of picking 1 o and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.22815us to weeks.\nAnswer: 0.000000000268234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqnqq. Give prob of picking 3 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3552 and 1248?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01361908 - -0.0136. What is m rounded to 7 dps?\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.95048 - 0.04952. Let i = 0.11 - 7.11. Let s = 7.3 + i. What is the closest to 0 in d, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k - 4. Let b be 2 - (k - 1)\/(-3). Find the second derivative of -b*w - 9 + 2*w**2 + 9 wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044300 (base 5) to base 4.\nAnswer: 10210030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1361 + 756*g - 2335*g + 1361 to the form t*g + d and give t.\nAnswer: -1579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13*f - 144 = 0. What is the remainder when f is divided by (4\/(-6) + 0)*(-105)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 36*y**2 - y - 26. Let f be q(-36). Solve 0 = 41*u - 43*u - f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 9*c**2 - c. Let m(p) = -5*p**3 + 26*p**2 + 2*p. Let x be (1352\/91)\/26*(2 - -12). What is x*i(d) + 3*m(d)?\nAnswer: d**3 + 6*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 4:44 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + y = 97, w + y - 11 = 22. Let b = w + -12. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most as big as 9733.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*f**3 + 7*f - 32*f**3 - 2 - f**2 + 2*f**2 to q + k*f**2 + t*f + n*f**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14579287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, -5, 503?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n = 3*g - 7, -4*n - 10 = -2*g. Let q(v) be the first derivative of -3\/5*v**5 - 3*v + 1 - 6*v**g + 6*v**2 + 3*v**4. Solve q(f) = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0 (c) -8 (d) -1\/124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232\/2993 - 11\/73. Is -1 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -m - 6 + 18, 0 = -m - 4*k + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 120. Determine m(44).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 + -28.9. Which is the smallest value? (a) 1 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjijjjijj. Give prob of picking 1 i and 1 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 7*w**8\/2880 + w**5\/20 + 30*w**2. Let a(f) be the third derivative of t(f). Let d(g) = -2*g**2. Determine a(d(m)).\nAnswer: 196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 188? (a) -5 (b) -147 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -246*i + 31. Let y be b(-5). Let x = 2161 - y. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435494461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4381, -4384, -4389, -4396, -4405?\nAnswer: -4416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8845 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 26 - 1. Let n(w) = -3*w - 36. Let l be n(-7). Let i be ((-10)\/l)\/(2\/39). Put q, 4, i in increasing order.\nAnswer: 4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -10*j + 13*j. Let l = -3 - j. Solve l*x = 2*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/12388773 and 52\/864333.\nAnswer: 37166319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)*y)**(2\/13)\/((y*y\/(y*y*y\/(y\/(y\/(y**(5\/2)\/y)*y))*y*y)*y*y)\/(y*y**(2\/7)*y)))**(-35))**(-2\/69) assuming y is positive.\nAnswer: y**(65\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1377) - (sqrt(1377) + 3*sqrt(1377)))**2 - sqrt(1377)) + -4 + (-4 + -1*(sqrt(1377) + sqrt(1377)*2))**2.\nAnswer: 207*sqrt(17) + 24797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -77*k**6\/5 + 19*k**5\/20 - 14*k**3\/3 + 2*k**2 + 2449*k + 2. What is the third derivative of r(w) wrt w?\nAnswer: -11088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/(-10)*(-3 - 13\/(-3)). Sort -2, -3, -8, z in ascending order.\nAnswer: -8, z, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 67 + 199 = 0. Calculate the common denominator of (w\/(-30))\/((-10)\/(-265)) and 51\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*g**2 + 132*g**4 - 6*g**2 - 11*g**2 + 1 + 3*g**3 + 121*g**4 in the form c + u*g**3 + k*g**2 + p*g + o*g**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125286*s**3 + 745751*s**3 + 247331*s**3.\nAnswer: 867796*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3957603 by 8.\nAnswer: 3957603\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 913, 3636, 8167, 14500, 22629, 32548, 44251, 57732?\n\"Answer: -o**3 + 910*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Factor 3*m**3 + 0*m + 5*m**2 + m**n - 4*m + 5*m.\nAnswer: m*(m + 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 + c - 7. Let v be r(-7). Let d = 57 - 15. Let u be (-4)\/v - (-3684)\/d. What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -o + 2351, -5 + 8 = s. Does 102 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1926 - -77039\/40. Sort u, 3, 5\/4 in increasing order.\nAnswer: u, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 (base 4) in base 8?\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9126 divided by 6\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:24 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 954926299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 20177318491?\nAnswer: -20177318490.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1972 and 3332.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 3*h**3 - 2*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Suppose -4*r + 19 = -l*v - 3*v, 3*r - 18 = 5*v. Solve -2*k - 11 = -r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*f = -18, 0 = 2*i + 5*f - 7 - 20. Let o(x) = x**2 + x + 1. Let g(h) = -h**2 - 10*h - 3. Let c(m) = g(m) + 2*o(m). What is c(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 67.3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2426*j + 104684 = -2425*j, j + 104696 = 2*p. List the prime factors of p.\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2915*u - 990 = -2897*u. Which is the second smallest value? (a) 3 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -11. Let l = -639 + 643.09. Let u = 0.09 - l. Sort w, -3, u in ascending order.\nAnswer: w, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4813 or 9623\/2?\nAnswer: 4813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197126296.\nAnswer: 2, 1987, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + sqrt(76))*5 + ((2 + sqrt(171) - sqrt(19))**2 + sqrt(19) - ((sqrt(19) - (2*sqrt(114))\/sqrt(6)) + sqrt(19))**2)).\nAnswer: 76*sqrt(19) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4*u + 3. Let t(c) = 3*c + 2. What is 4*t(l) - 3*w(l)?\nAnswer: 3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 12:37 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(10\/7)\/y*y)\/y)\/y)\/((y\/((y*y**1)\/y))\/y)*(y**(-1\/3)\/y)**0 assuming y is positive.\nAnswer: y**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)*n*n\/n**19 assuming n is positive.\nAnswer: n**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490098570?\nAnswer: 2, 5, 443, 541, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 85. Calculate m(10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140450 divided by 6.\nAnswer: 70225\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 24*i + 16 = 0. Solve -2*p = i*c + 6, -3*p - 5*c = -p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7146593, -7146591, -7146589, -7146587?\n\"Answer: 2*s - 7146595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/108*(-10)\/(-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n - 90 = 0. Suppose 2*q - 181 = -5*k, 2*q - 233 = -2*k - 55. Suppose 0 = 5*l + q - 238. What is the highest common divisor of l and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14051817 divided by 1080909?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -44\/3, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/7697 - -284795\/15394. Let p(b) be the first derivative of 0*b - 3\/4*b**4 + 0*b**3 + r*b**2 - 31. What is the second derivative of p(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565328585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 8235114\nAnswer: -8235113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -2*k - 6, -f + 2*k + 7 = 0. Calculate the least common multiple of (0 + f)*-14 - 4 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 1897, -2 in decreasing order.\nAnswer: 1897, 55, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4082 is divided by 215?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*t - 7, -6*w + 2*w + 2*t + 28 = 0. Let g = 55 + w. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b - 12. Suppose -4*h - 3 = -u + 4*u, 3*h + 4 = -4*u. Suppose h = 5*z - 14*z + 27. Solve -19 = z*m - b*s + 9, m + 2*s - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 12}. Give prob of picking 1 o and 2 a.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/125 of a millennium?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -5 (c) -2 (d) 0.03 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57859435.\nAnswer: 5, 73, 158519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-11))\/((993524\/(-1507))\/(-49))?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4721?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -444741440.\nAnswer: -444741440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -50, -34, -20, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let n = 0.067 - 11.967. Let z = 12 + n. What is the closest to q in 0.3, 2, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0, -0.1, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/1*2. Suppose 4*u = -5*o + 26, -16 = 4*u - 7*u - m*o. Let t = 27 + -26. Calculate the greatest common divisor of u and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12323737 is divided by 3614.\nAnswer: 3611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**6\/180 - q**5\/60 + q**4\/3 + 3*q. Let l(t) be the third derivative of b(t). Does 19 divide l(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*2\/5. Suppose 0 = 4*b + 2*d - 4, -7*b - 4 = -3*b - 2*d. Is b less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.099766 times -0.069?\nAnswer: -0.972883854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + -1 - (154 - 161).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629239432 plus -45?\nAnswer: 2629239387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-114)\/9 + (-4)\/(-6). Suppose 16*x - 674 = 2846. Find the common denominator of (-1)\/i*(x - 2) and -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 9610*f**2 - 1 - 9609*f**2 + 7 + 4 - 1. Calculate k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-4))\/((-1)\/(-4)). What is the remainder when 29 is divided by f + (0\/4)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/2))**(1\/2)*(c*c**(-1))**(-1\/19) assuming c is positive.\nAnswer: c**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 3 + 3 + 1 + 6 + 24*v as c*v + g and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let g(t) = t**3 - 19*t**2 + t - 16. Suppose 4*l + 4 = 3*b - 41, -4*l + 107 = 5*b. Let x be g(b). Solve -3*h - j = -p, 3 = -2*p - x*h - 2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 260\/(-39)) + -5 - (0 - 1). What is the nearest to 0.04 in 7, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-20)\/(-8)) - 14. Let m = p + 10. What is the units digit of m\/(8\/7)*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-700)\/182 - 54\/351. Let a = 8 + -2. Put a, 0.5, u in decreasing order.\nAnswer: a, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 + 2 + 8*r**2 - 2. Let g(k) = 17*k**2. Determine v(g(x)).\nAnswer: -289*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 2 + 2 + (-3*g - 2*g + g)*(-25*g + 38*g - 33*g) to the form l + b*g**2 + f*g and give b.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 11) to base 14.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8749 = -6*y + 995. Suppose -5*g + y = u, 0 = g - 3*u + 8*u - 320. What is the highest common divisor of g and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*q - 28*q - 41*q as l + k*q and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3)*2*2. Let h be (p\/6)\/((-1)\/(-3)). Let o be (-1)\/2*8\/4. Sort o, h, 2 in decreasing order.\nAnswer: 2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*f = -78*f + 9. Let w(u) = -8*u - 16. Let x be w(f). Suppose 4*n - 8 = 0, x*b - 100 = 7*b - 5*n. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14\/449, 1\/3, 0.2, -5, 0.3, -0.087?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 95. Let u be 2\/(-3)*(o\/(-4))\/11. Let h = -7 + 12. Is h smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11 and 28\/4303.\nAnswer: 47333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 24.0091.\nAnswer: 23.5091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2\/9, 6\/7, -0.2, 4.\nAnswer: -3\/2, -0.2, 2\/9, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/4 + 3567*s**2\/4 - 188307*s\/4 - 3044223\/4 = 0. What is s?\nAnswer: -1239, -13, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 54. Let n be -4*(-5)\/(-10) + 46. Suppose -2*x = -4*c + n, -c - 6 = -3*c + 5*x. Solve -5*d - y = -c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2256 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3785326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5935 in decreasing order.\nAnswer: 5935, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ac7c (base 14) in base 5?\nAnswer: 44010041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + -2 + -2*(4*(-2 + sqrt(1573)) + sqrt(1573) + 2 + 2*sqrt(1573)))**2.\nAnswer: -1232*sqrt(13) + 308324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(sqrt(45) - sqrt(5))*-4)\/(sqrt(243)*2 - (-4*sqrt(3)*2 - sqrt(3))).\nAnswer: -2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1426)\/(-15686))\/(1\/(-20))\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3521 and 235571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2198)\/9891)\/((-4)\/(-10))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 553776693441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:38 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -4 + 15 + -1. Suppose -m = 2*u + 3*d, 4*u + 0*d = 5*d + 29. Let x = -11\/36 - 1\/36. Sort -2\/5, x, u in increasing order.\nAnswer: -2\/5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 45, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -661 (base 8) to base 4\nAnswer: -12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.126 * 8.560251\nAnswer: -1.078591626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.01469 + 0.01469. What is the closest to 0.06 in -0.2, -6\/7, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = 0, 0*f + 5*f - 5*i = 30. Solve b - 1 = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3. Let g(a) = -76*a**2 - 28*a + 20. Let b(l) = -g(l) + j(l). Is b(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3030, 3031, 3032, 3033?\n\"Answer: c + 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 + 12*v + 45. What is f(-3)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266.1272940949 - 0.01.\nAnswer: -266.1372940949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 118 = 2*o, 0 = 7*c - 5*c + 3*o - 123. Suppose -v = 2*v - c. Calculate the least common multiple of v and 36\/(-234) + (-56)\/(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*u - 131 = -137, -3*m - 3*u - 18 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.042 (b) -5 (c) -0.02 (d) -3\/7 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 39115505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -642.63 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 36. Let q be i - 0*(-2)\/10. Which is smaller: 18\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*u + 2, -4601*g = -4603*g + 2*u + 2. Solve 1\/3*s**4 - 4\/3*s**3 + 0 + g*s + s**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/30 + 4*d**4 - 9*d**3 - 73*d**2. What is the hundreds digit of p(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3937 + -0.1.\nAnswer: -1.4937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -1231210?\nAnswer: 1231143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 minus 20429?\nAnswer: -20346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(-5)\/30. Let w = 0.5 - 0.3. Let h = w + -0.2. Which is the third smallest value? (a) h (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 499.6 and -21913252435.\nAnswer: -21913251935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3305 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**7*t)\/(t\/t**(5\/7)*t) assuming t is positive.\nAnswer: t**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 2287?\nAnswer: -2289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = -6*u. Let n be 6\/(u - 6)*-4. Solve y = -2*x + n*x + 1, -4*x - 5*y = 37 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 4. Let n(r) = -r + 6. Let d(z) = 3*n(z) - 4*y(z). Let l(p) = -p. Determine d(x) + 2*l(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -41*o + 140. Let l(a) = -84*a + 269. What is 7*l(g) - 13*z(g)?\nAnswer: -55*g + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10295*p + 3*p**2 - 9*p**2 + 5104*p + 5191*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 3. Suppose -3 = 7*y - 10. Differentiate 11*h - 5 + y - o*h with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) -0.4 (c) 4\/9 (d) -26.9 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0546827 millilitres?\nAnswer: 0.0000546827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -18. What is the units digit of 1 + u + 28 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p + 12. Let l = -58 + 16. Let g = l + 48. Which is the second smallest value? (a) p (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1658*o**2 - 1662*o**2 + 8310*o**2 - 1662*o**2 - 1664*o**2 - 1667*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.58. Let b = v - 0.02. Let i = 0.4 + -2.4. What is the third biggest value in b, -2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 (base 14) in base 11?\nAnswer: -722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - q. Let i(s) = 16*s**2 - 3*s + 1. Calculate 6*c(x) - i(x).\nAnswer: -22*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-18)\/(-42)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13344 + 3503200?\nAnswer: 3445412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.515, -5\/2, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(12\/(-78)) - -5. Which is the second smallest value? (a) 0.14 (b) 0.5 (c) 2\/5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 421*b**2 + 615*b + 81918. Calculate q(-420).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*y**3 + 23*y**2 - 18 + 14*y**2 - 32*y**3 + 9*y + y**3 - 5*y**2 = 0. What is y?\nAnswer: -6, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849526852 divided by -6851023?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 215306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -867018 and -0.5?\nAnswer: 433509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - ((-56)\/12 - -4)*-51. Let m = -27 - s. Suppose -13 = -9*t + m. Which is the nearest to 1? (a) t (b) -8 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3, x + 15 = -x + t. Let h(i) = -i**3 - 5*i**2 + 2*i - 2. Calculate h(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13307 and -13477 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 61. Let n = 47 + v. What is the second derivative of 3*g**4 + 8*g + g - 4*g**4 - 11*g**n wrt g?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 30*u + 149 - 161.\nAnswer: -30*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.9? (a) -0.1562 (b) -219 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 15. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9948 + 0.0052. Let o be 28\/6*3\/2. Sort -3, o, u, -0.2 in ascending order.\nAnswer: -3, -0.2, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2 + 8*j + 6. Let i = -11 + 13. Let u(p) = -14 - 23*p**i + 32 - 17 - 23*p - 18. Let v = -50 - -44. Determine v*u(m) - 17*f(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4781*o + 6345*o + 7857*o - 229 + 229 + (1 - 1 + 3)*(0 - o + 0).\nAnswer: 18980*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 + 39*z**3 + 10*z**3)*(-3*z + 4*z - 3*z).\nAnswer: -86*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(-1 + -5*(-1 + -1*-2*sqrt(208)))*-6)**2.\nAnswer: -933120*sqrt(13) + 60699456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5191 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337 + 361 = -16*i - 326 + 944 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12*i + 292. Let p(n) = -3*n**2 + 23. What is p(o(d))?\nAnswer: -432*d**2 + 21024*d - 255769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 27 + 23 + 18 - 67. Let f(q) = q + 4. What is -3*b(j) + f(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-25))\/((-1)\/(-10)). Suppose -2*h + o = -58. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21032 (base 4) to base 13.\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -377 - -6.1\nAnswer: -370.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 18, 14, 10, 6, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5403*j**3 - 2930*j**2 - 6. Let n(l) = 32420*l**3 - 17579*l**2 - 34. Let x(c) = -3*n(c) + 17*o(c). Find the third derivative of x(t) wrt t.\nAnswer: -32454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 1233765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 + 11*n**2 - 2*n**2.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 59*j - 9. Let t(x) = -4137*x. Give t(q(m)).\nAnswer: -244083*m + 37233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2498038\/5 + -219880079\/440. Let k = 19092\/19 + -232736\/209. Let b = k - q. What is the common denominator of -119\/10 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 9. Let n(h) = 3*h + 19. Let s(k) = -3*n(k) + 5*o(k). Let q be s(12). Suppose -4*f = q, -t - 2*f + 92 = 2*f. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-2))\/((-12)\/20). Suppose -9*t + s*t + 2200 = 0. What is t rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 13. Let v = -7 + c. Let n = 4.9 - v. Which is greater: 11 or n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (505\/(-90))\/(31\/6*-4) and 41\/6.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 34*a**2 + 25. Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50198, 50196, 50194, 50192?\nAnswer: 50190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/162136840 and -71\/862430.\nAnswer: 162136840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + (sqrt(192) - (sqrt(192)*-1 - sqrt(192)))*1)**2.\nAnswer: -240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/9612 and 149\/3051276.\nAnswer: 27461484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/120491 and 18\/77.\nAnswer: 1325401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(56\/(-84)). Let w(y) = 1 + 6*y + 6*y + y. Let f be w(1). Solve -c = -5*s + 4*v, 7 = 2*s + v + f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-150)*3\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2202202 (base 3) to base 4\nAnswer: 133202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.2 (b) 1\/7 (c) 0.2 (d) -0.04 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 68761.5?\nAnswer: 68761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -996\/55 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -484*z - 1574. What are the prime factors of g(-34)?\nAnswer: 2, 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-0.021\nAnswer: -0.00231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 18*v - 168963. Let w(m) = -m**2. What is c(w(f))?\nAnswer: f**4 - 18*f**2 - 168963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/323 and -13\/170.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65856 - 122740 = -9356*r + 185644 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10618.025 + 10509. Let c = -109 - l. What is c rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04261 + 2.95739. What is the third smallest value in 2\/9, a, 0.8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73*-3.478576.\nAnswer: -253.936048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 1 + 0)*(-108*x**3 + 99*x**3 - 125*x**3).\nAnswer: 1340*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 35*q**5*t + 5*q**2*t + 15*q*t wrt q?\nAnswer: 120*q**3 + 2100*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5565 divided by 3.\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - 1*sqrt(250))\/sqrt(10) - 5*(sqrt(25) + sqrt(50)\/sqrt(2)))\/(3*(sqrt(45) - (sqrt(270)\/sqrt(6) + sqrt(45) + sqrt(45)))).\nAnswer: 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/17, 0.5, -0.53, -1?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782, 780, 778, 776, 774, 772?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:05 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12325024 + -437?\nAnswer: 12324587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2. Let o(s) = -3*s + 307. Calculate m(o(c)).\nAnswer: -9*c**2 + 1842*c - 94249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/13 (c) 0.0511 (d) 64\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.1221 litres in millilitres?\nAnswer: 248122.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16 - 1)\/(2\/(-388)*4). Let d = -801 + j. Let i = 3\/53 - -117\/742. Find the common denominator of i and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -7. Let j = h - -14. Solve -5*x = j + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 69136 = 23*l + 4*l. What is the greatest common divisor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1876 and -57\/112.\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97256.46 nanoseconds in milliseconds?\nAnswer: 0.09725646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 2 + 2*j**3 - j**3 - 4. Let g be l(3). What is the tens digit of (18 - (1 - -2)) + g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 11*k - 6. Let j be h(-14). Suppose 4*d - j = -0*d. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2*2)\/((-6)\/(-4)))\/(6\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + v + 10 = 4*v, 3*o - 4*v = 6. Solve 5*d**3 + 12*d**4 + 4*d**5 - d**3 - 2*d**3 - 12*d**o - 8*d + 2*d**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Suppose z*o = o. Suppose -2*l - 4 + 2 = o. Let t(r) = 2*r - 1. Calculate t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.954848 litres?\nAnswer: 6954.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161142, 322252, 483362?\nAnswer: 644472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -105 + 5*n**6 + n**6 + 23*n**2 + 137. Find the second derivative of u(c) wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/(-14)*309\/(-105) and -3 - (-35)\/9*-1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.73531. What is v rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 30*z + 21. Let c(o) = 3*o + 2. What is 21*c(x) - 2*t(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, h: 3, o: 5, e: 1, p: 7}. Give prob of sequence eh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15780 or -15781?\nAnswer: -15780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/623 and -3\/1246.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13970*w - 72429*w + 58457*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 157483.1538s in weeks?\nAnswer: 0.2603888125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1704\/71*(-1)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = 15 - 75. Let o(b) be the third derivative of b**4\/24 + b**3\/6 - 2*b**2. Let u be o(-1). Solve -p*w + r - 1 = u, -7*w + 2*w = -5*r - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10991 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - q + 1. What is t(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -7 - 8) + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let u(s) = s. Let a(z) = -9*u(z) - 2*x(z). Let l = -52 - -57. Let b(c) = 6*c + l - 5 - 5*c. Calculate b(a(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0*r + 0 - 1\/6*r**2 + 1\/6*r**5 - 1\/6*r**3 + 1\/6*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -36?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Let t = u - -3. Suppose -2*m + t*m = 5*q - 64, 3*m = -4*q + 45. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.14067kg to grams.\nAnswer: 25140.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(2*r + 0*r + 0*r) - 3 - 2*r + 3)*(-3 - r + 3).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1724 and 4236299.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -2475670?\nAnswer: 2475654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8 = 36928*s - 36932*s, -5*t = -156*s + 20 + 156 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 15 = 4*r, 0 = r. What is the remainder when 29 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 l when three letters picked without replacement from {l: 1, z: 3, m: 1, r: 7, v: 3, p: 3}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3617035313874 - -29?\nAnswer: -3617035313845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-11 + 14 - (-3 - 0)). Calculate the remainder when 28 is divided by (u + 2 + 0)*(-1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 47. Calculate k(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*z + 21*z. Suppose -z*d + 5*i = 5, -d + 6*d + i - 19 = 0. Solve -d*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405020 and 2310.\nAnswer: 1215060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1803.1 - 1803. Which is the closest to -1? (a) -0.02 (b) k (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {m: 1, l: 1, c: 3, y: 2, w: 3, t: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38\/133)\/(46\/28). Which is the closest to -1? (a) 1\/2 (b) -2\/11 (c) w (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence befb when four letters picked without replacement from pfbppypbaaafppe.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 6*r. Let j be s(-6). Let d = 18.1 + -0.1. Is d < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (2 + -2))\/(-1). Suppose n - 4*n + 5 = g, -l = n + 3*g. Let c(s) = 1 - 2*s**2 - 3*s**n + 2*s + s**2. Determine c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(2 + (-2)\/3). Let z = 258.54 - 255.54. What is the third biggest value in s, 2\/19, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 - 7*b**2 - 13*b - 7. Let s be y(6). Calculate the greatest common divisor of s and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245244488 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: What is the biggest value in 21720.68, -3, 0.3?\nAnswer: 21720.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(128) + sqrt(8)) + (0 + sqrt(11))**2 + -5 + -1 + sqrt(11) + 1 + -1*sqrt(11)*-6.\nAnswer: 6 + 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 1\/6 (c) 5 (d) -0.5 (e) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/60 + c**4\/3 + 8*c**3\/3 + 2*c**2. Factor k(o).\nAnswer: (o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4680294*r**4 + 12747018 wrt r.\nAnswer: 18721176*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2802 = -3*h, 35*a - 697 = 34*a + h. Which is smaller: 700 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1792 and 1008?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-76)\/(-6)*(-3)\/(-1). Suppose -3*a + 3 = 21. Let j = 25 + a. Calculate the highest common factor of o and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/(v*v\/(v\/v**(-5)))*(v**(-1\/4))**(18\/13))\/(v**(-6\/11)*v*v\/v**(-7\/4))**(7\/4) assuming v is positive.\nAnswer: v**(105\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:36 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(4))\/sqrt(4) - (sqrt(72))**2) + (sqrt(882) - (sqrt(2) - 6*sqrt(72)))**2.\nAnswer: sqrt(2) + 6200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.55 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:45 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let v be h(3). Let o be (-566)\/572 - (v + -4). Let f = o - 14455\/1144. Find the common denominator of f and 89\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 2)*(-3 - 4 + 3)*(h + 26 - 26) to the form v + m*h and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10223 - 1?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744720 = -3732*w + 19247*w for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 take away 55?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*q = -33*q + 15047 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 + m**4\/2 + 8*m**3\/3 + m**2 + 42*m. Calculate the remainder when z(7) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 440*g - 1682 + 1682 to d*g + l and give d.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + a = 1, 3*k + 0*a - 3*a = 3. Let q = -24 + 24. What is the closest to q in 0.5, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 9390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -44*m - 4478. What is p(-102)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose -v + 0*v + 4 = w. Suppose -v*c + 1 = 5*g - 37, 4*c = -2*g + 32. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 51 + 51)*(9*k - 251 + 13*k + 14*k - 40*k).\nAnswer: 16*k**2 + 1004*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 548, 909, 1266, 1619, 1968, 2313?\nAnswer: 2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 13*c + 14. Suppose -l + 0*l = -3*h + 10, c*h - 10 = -l. Suppose 5*z - 637 = -l*z. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1649502kg in micrograms?\nAnswer: 164950200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.2, 0.3, -73, 84, 0.5 in descending order.\nAnswer: 84, 0.5, 0.3, 0.2, -0.04, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41b260 + 3?\nAnswer: -41b259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43757.03565 rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1728 divided by 6.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 = 3. Let h(d) = -4*d - 134 + d - 141 + 2*d + 265. What is h(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327108?\nAnswer: 2, 331777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 452, 938, 1438, 1958, 2504?\n\"Answer: r**3 + r**2 + 476*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1302265\/314676 - -4\/8741. Find the common denominator of 43\/81 and a.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1479, 1474, 1469?\n\"Answer: -5*j + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-42)\/(-64))*5\/(-40)*2\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 1356. Suppose 50 = -o*r + 447*r. What is the smallest value in -2\/13, 0.1, r, -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90 - -104)\/((-5)\/10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 225535 (base 7) in base 14?\nAnswer: 10a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 - (-364)\/35. Let q(a) = a**2 - 11*a + 10. Let t be q(d). Let s = 7 - 2. Solve -y = -u - 0*u - s, u - 4*y + 8 = t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3*s**2 - 5 + (-7 + 7 + 3*s)*(-3*s + 0*s + s) to the form a*s + i*s**2 + b and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 4*q**3\/3 - 3*q + 15. Find the first derivative of v(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:03 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(119) - (sqrt(119) + (sqrt(119)*-2 - sqrt(119)))) + sqrt(119))*-1 + sqrt(119)*1*2)*-3)\/(1*sqrt(1008)*6*-5).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3\/3 - 5. Let w(g) = 7*g**2. Give t(w(k)).\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/13 + 276018*y**3\/13 + 4969050*y**2\/13 - 10766146*y\/13 + 5521080\/13 = 0.\nAnswer: -20, 1, 138027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848 is divided by 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-133*u - 505*u + 136*u - 736*u).\nAnswer: -4952*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.64744 * 16620.\nAnswer: 10760.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 2. Let k = 116 - 116. Suppose 3*r + 6 = -3*v, -r - 5 = -0*r + 2*v. Sort d, k, r.\nAnswer: k, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 2 - 2\/(4\/(-30))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 11) to base 3.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 15*b + 0*b - 6*b to the form i*b + a and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -2, -0.36, 5, -25\/13, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 772 and 52882.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:48 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-32)*44 + (693\/(-44))\/21. What is v in -5\/6*v**3 + 1\/2*v + 0 + 1\/3*v**r = 0?\nAnswer: -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.89 + -2.057. Let a = 0.4302 - -0.0928. Let n = a - g. Round n to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334414033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**3 + 24 - f**3 - 47 + 19*f**2 + 21 + 3*f**2 to j + z*f + q*f**3 + w*f**2 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6631.43 millilitres?\nAnswer: 6.63143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 510525 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n**3\/13 - 77960*n**2\/13 - 77966*n\/13 - 19492\/13 = 0.\nAnswer: -1\/2, 9746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4140.86 and 0.24611?\nAnswer: 4140.61389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2. Let q be 254\/2*21\/7. Let v(h) = -2*h + 381 - q. Give k(v(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*h = 6*n - 648, 0 = -4*n + h + 879. Suppose 0 = -215*j + n*j - 3904. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-176)*(-1)\/7 - 434\/132) + 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593818\/83 at most as big as 31251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 23726.62 to the nearest one hundred.\nAnswer: 23700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 5 = -17. Suppose -15 = -3*s + 3*h, -i*h - 13 = -5. Solve 0 = -b - 1 - s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1620 = -4*y + 8*y. Let w(s) = -2*s**2 + 3*s + 180. Let b be w(9). Calculate the greatest common divisor of y and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - m = 6, 3*m - 8 = 4*t + m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/48)\/((-15)\/6))\/(203\/(-21)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 869 divide 192789388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.25 - 28. Let k = a - -0.24. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)\/(-10) - (-99)\/(-405)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/7)\/x)\/x*x**(1\/11))\/(((x\/(x**(-2\/3)\/x))\/x)\/(x**2\/x)) assuming x is positive.\nAnswer: x**(-694\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdd when three letters picked without replacement from ppppdpddppppddpdppp?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)\/w**2*w**1*w*w\/w**(-4))**23 assuming w is positive.\nAnswer: w**(529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*a + 10 = 0, 2*q - 21*a = -16*a - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1158*h**2 - 493*h**2 + 1015*h**2. Let w be t(1). Suppose -8*n - 6*n + w = 0. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013533911 rounded to seven decimal places?\nAnswer: 0.0001353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 15, 6*a - 35 = a - 5*f. Suppose -3*l - 3*r + 161 = 50, 0 = a*l + 3*r - 146. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37980 + -37984.731. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 7\/10, 738, -46, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 3:35 PM?\nAnswer: 278","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55707345 or 55707340?\nAnswer: 55707340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352.34 - 352.74. What is the smallest value in -2, o, 3802?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((-63)\/(-46)) - 36\/6. Which is the smallest value? (a) z (b) 1 (c) 3\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -c. Suppose c = j - 11 - 30. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 642, 921, 1200, 1479?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7*x + 2*x + 86 = 0, -5*j = x - 114. Let l = -65\/3 + j. Let g be 6\/21 - 10\/(-14). What is the closest to l in g, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 179. Calculate the remainder when q(45) is divided by 175.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141887 and 235019.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-4)\/(-8)). Let g = 1.9 + 0.1. Let r = g + -2.1. What is the second smallest value in 4\/3, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51067441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 5*f - 170 = 0, -587*c = -585*c - 3*f - 102 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055*w + 22 = 1057*w. Solve -w = -f - 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 + 715*c**4 - 2200*c**3 - 1400*c**2 + 8720*c - 5840 = 0. What is c?\nAnswer: -146, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22.028 - 0\nAnswer: 22.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237307 rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o**2 + 3*o + 1. Let z be q(-2). What is the greatest common factor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 1176.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2\/(-42))\/(21\/63).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - 0*r. Suppose -2*x + 5 = r*x. Suppose 3*c = 2*c + x. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 3*z**2 + 164*z - 164*z - 168 - 3*z**2 - 756*z**3.\nAnswer: -756*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 - -185. Suppose 0 = -w*v + 15*v - 210. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0.2, 3, -0.18452, 0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131.5 + 168. Let g = 36 - y. Let b = -122\/275 - -4\/11. What is the biggest value in b, g, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2573077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.8, 0.44 in ascending order.\nAnswer: 0.44, 0.8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 197, 212, 225, 236, 245?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.13 (b) 0.05 (c) 6.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9014 + 0.901407185. What is x rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven fifths of a minute?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -259, -2, -11, -3 in descending order.\nAnswer: 9, 2, -2, -3, -11, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -319, 11 in increasing order.\nAnswer: -319, -5, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 723, 1438, 2153, 2868, 3583, 4298?\n\"Answer: 715*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -62 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33469830 = 13*r - 7*r. Let y = 2099108 + r. Let t = y + 11579197. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 1110*a - 6751. Calculate o(286).\nAnswer: 2973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078356 rounded to 7 decimal places?\nAnswer: -0.0000784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 45. Determine j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - -12 - -2*1\/(-2). Calculate the common denominator of -23\/4 and (-16)\/8 - (l\/3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 82966 in descending order.\nAnswer: 82966, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 506 - 207. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 11*f**2 + 33*f - 1. Determine c(-4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 4. Let y be s(3). Suppose -141 = 4*g - 3*r, -g - 2*r + 0*r = 49. Let i = g - -74. Calculate the highest common divisor of i and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -8*j - 2*g, -g = 832*j - 826*j + 38 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*b**3*m - 6*b**3 + 2*b**2*m + 5*b**2 - 93*m + 2 wrt b.\nAnswer: -306*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*o - 34*o - 31*o)*(-3 + 4 - 14*o - 2).\nAnswer: 1484*o**2 + 106*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 2. Let a be x(-1). Suppose -5*t + a + 24 = -g, -4*t + g + 21 = 0. Is 3676\/(-10)*(-15)\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4\/3*c**3 + 4*c**4 + 0*c**2 + 0*c + 0 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148263604753737152\/2993232706005 - 5\/8676036829. Let t = s - 49533. Let f = t - -8527\/2070. Calculate the common denominator of -37\/8 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.66 rounded to 1 decimal place?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -146260?\nAnswer: -146270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 13516?\nAnswer: 94612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l - 28. Let b be w(-7). Let c = -51 - b. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -58*h**2 + h + 3. Let y(s) = -19*s**2 + 1. Let f(l) = 2*u(l) - 7*y(l). Let b be f(1). What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-127)\/(-2))\/((-9)\/(-90)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2444\/5 + 490. Factor -6\/5*i**2 - 2\/5*i**3 - 2\/5 - m*i.\nAnswer: -2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - m + 1. Let l(c) = -334*c**3 - 1 - c**2 + 6*c**2 + c - 4*c**2 + 326*c**3. What is -l(u) - v(u)?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 304, 299, 292, 283, 272, 259?\n\"Answer: -u**2 - 2*u + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 6:25 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3*j - 2. Let r be s(-4). Suppose 4*a - r*m = 3*m + 748, 4*a = m + 748. What is the greatest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r + r)*(-6 + 4 + 0)*(-2*r**3 + 2*r - 2*r).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 2, d: 2, t: 1, m: 4}. Give prob of picking 1 m and 2 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93571120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q - 4*q + 4*q)*(3*q - 5*q + 4*q) + 10*q**2 + 34*q**2 - 11*q**2)*(0*q + 4*q - 2*q).\nAnswer: 58*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(833) + -4 + (-6*(1 + sqrt(1700) + sqrt(1700)))**2.\nAnswer: 1433*sqrt(17) + 244832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2180\/(-53410))\/(6\/9849)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1.1 (b) -0.2 (c) -1\/334 (d) 6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 4 = -3*o - 2*p, 3*p = -o + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55\/2 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -38, 3 in descending order.\nAnswer: 5, 3, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-1252)\/16. Let q = j + -52. Let a = 940 - 939. Put -4, q, a in increasing order.\nAnswer: -4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 11*i - 4438. List the prime factors of i.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223007772 - 79607775. Suppose 5*u - 71699995 = -2*w, 3*u = 8*w - 12*w + y. What is w rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95488824 rounded to the nearest ten thousand?\nAnswer: 95490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/27*(-4)\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552464.\nAnswer: 2, 11, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 243, -2054 in descending order.\nAnswer: 243, 0, -2054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 24281, -3, -4, 4, -9 in descending order.\nAnswer: 24281, 4, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -35, -56, -79, -104?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263065\/8 - -33074. Let r = -192 + z. Calculate the common denominator of r and 17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/2, -3, -38\/5 in descending order.\nAnswer: 31\/2, -3, -38\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 - 453369460*d + 10277193363034580 = 0. What is d?\nAnswer: 45336946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*k + 5*k + 14, r = 2*k + 5. Let g = 3 - r. Suppose 2*t = -3*t + 20. Calculate the greatest common factor of t and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*w**3 - 61*n**3*w - 479*n**3 + 30334158*n**2*w**3 - 120*n**2 - 3*w**2 wrt w.\nAnswer: -6*n**3 + 182004948*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*v**2 - 1127*v**2 - 895*v**2 + 2910*v**2 + 2030*v**3.\nAnswer: 2030*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 5 = 0. Let i = z - 2\/3. Determine s, given that -i*s**3 + 2\/3*s - 1\/3*s**5 + s**4 + 0 - s**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -15*h**4 - 702*h**3 + 2475*h**2 + 3642*h - 5400 = 0.\nAnswer: -50, -9\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/11 (b) 12 (c) 0 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d. Let m(p) = 46*p. Give m(a(i)).\nAnswer: 184*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let p = -40 - -41. Let n be p*2 - (-84)\/(-51). Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 13 = 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6696 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 172512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:11 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9162, -18355, -27548, -36741, -45934, -55127?\nAnswer: -64320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -47 (b) -1\/3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 0.0922, -131?\nAnswer: 0.0922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318692 or -318642?\nAnswer: -318692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 + 204. Let j(n) be the third derivative of -n**5\/60 - n**2. Determine j(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 - 128. Let b(m) = 7*m + 16. Let a(c) = 10*c + 25. Let u(z) = h*a(z) + 8*b(z). What is u(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/3 + 12280*i\/3 + 1307020.\nAnswer: -5*(i - 2742)*(i + 286)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43331259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18116*q**3 - 3*q**2 - 24*q + 231?\nAnswer: 108696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -4 + sqrt(8) + (-1 + sqrt(2) + -1)**2 - ((sqrt(112) - (sqrt(112) + (sqrt(112) - 2*sqrt(112))))\/sqrt(8))\/(sqrt(700) + sqrt(700)*1).\nAnswer: -21*sqrt(2)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*d + 307 = 1674 + 679. Let q(s) = 75*s + 1. Let g be q(4). Suppose -d*u + 238 = -g. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -132, -4 in decreasing order.\nAnswer: 1, -4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.123.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 4. Let h = -16 - -24. Let b be l(h). Let t = -11 - b. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -155*d - 3660. Give p(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/432 and -45\/8?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (-1920)\/540\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 66.346 grams?\nAnswer: 0.066346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 7}. Give prob of sequence iix.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095297?\nAnswer: 3, 7, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 8:25 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/60 - g**4\/24 - g**3\/3 + 2*g**2. Let t be c(2). Suppose -f + z + 3 = -z, 5*f - z - 51 = t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29105 + -8616. Does 38 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -3.04. Let t(c) = -2*c**3 - 16*c**2 + 8*c - 13. Let d be t(-8). Let u = 81 + d. Sort z, 5, u, 0.3 in descending order.\nAnswer: 5, u, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8678*f**3 - 21769*f + 21759*f - 8676*f**3.\nAnswer: 2*f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 11*x - 155465. Let i = 13558 + x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/284*(0 + 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2683, -3161, -4475, -7045, -11291, -17633?\n\"Answer: -70*o**3 + 2*o**2 + 6*o - 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + (-15)\/9. Suppose 210*l + 736 = -104. Sort q, l, 4, -3.\nAnswer: l, -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0247188496 rounded to four decimal places?\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 + 35202*w**2 - 70413*w + 35208 = 0. What is w?\nAnswer: -11736, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6072999*r**2 - 26*r + 48. Let w be i(2). Round w to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/2 - 1311*n**2\/2 - 567615*n\/2 - 81289025\/2 = 0.\nAnswer: -521, -395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 10:01 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*r - 59*r - 54*r - 60*r - 59*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - g**3 + (-5 + 0 + 3)*(12*g**3 + 29*g - 29*g) as q + j*g**3 + a*g + z*g**2 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -11*u**3\/3 + u - 582. Give x(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3088.43 and 6?\nAnswer: -18530.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196888 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 470064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21565368.9 to the nearest ten thousand.\nAnswer: -21570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*j + a - 37, 3*a - 6 = 3*j. Let t(b) = 0 - 2 + 6*b + 0 + j. What is the units digit of t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 27 + 5*m**2 + 6*m**2 - 25 + 5*m. Let j(d) be the first derivative of 2*d**3 + 3*d**2\/2 + d + 15. What is 3*f(w) - 5*j(w)?\nAnswer: 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3822, 847 in decreasing order.\nAnswer: 3822, 847, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12463.9641ms?\nAnswer: 0.00002060840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115050566 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4490*j*w - 11300149*j - 626*w wrt w?\nAnswer: -4490*j - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*d = -774*d - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-360)*(-9)\/8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*14\/350 + ((-288)\/(-15))\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 65*b - 350.\nAnswer: (b - 5)*(b + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4817870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.79 - 0.29. Let a = -617 + 617. What is the closest to 3 in -2\/23, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38852?\nAnswer: 2, 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1115*y + 7. Let i(o) = -743*o - 5. What is 7*i(s) + 5*v(s)?\nAnswer: 374*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12 + 2*u**2 - 4*u**2 + u**2 - u**3 - u + 3*u - 5*u. Let s be (-26)\/6 + 2\/(-3). Is i(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -7\/9*j**3 + 4*j - 17\/30*j**5 + 1\/3*j**2 + 0 + 2\/15*j**6 + 17\/18*j**4. Solve b(g) = 0.\nAnswer: 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w + 9. Let v(t) = -4*t + 3. Let h = -141 + 124. Let j = 4 + 2. Determine h*v(k) + j*z(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 2. Suppose 3*m + 90 = -2*m. Let a = m - -17. Let w be (a - -2)*(-17 + 15). Determine g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 0.4, 2, 7, -2946.77?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28222 + -28226. What is the nearest to 0 in 0.311, -0.4, c?\nAnswer: 0.311","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let p(y) be the first derivative of 115*y**2\/2 - 22. What is n(p(i))?\nAnswer: -230*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -215266 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let o(d) = -932*d**2. Give k(o(h)).\nAnswer: -932*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:01 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -67. Let k = v - -1. Suppose -k*m + 225 = -o + 3*o, -2*o + 5*m + 265 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 7*d**6\/6 + 7*d**2 - 17. Find the second derivative of a(v) wrt v.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 376 = 4*w, 0 = 5*b - 3*w - 195 - 1651. Let n = -172 + b. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from afnai?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1250 - 1502?\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/672 and -38\/33?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.52557ng?\nAnswer: 0.00000000000000952557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 + 5*q**2 + 0*q + 0*q + 2*q**2 + (2 + q**2 - 2)*(4 - 3 + 1) + 0*q**2 - 3*q**2 + 2*q**2 + q**2 - 4*q**2 + 12*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + (-56)\/(-10) - (-112)\/5. Is 21 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = 4*p - 2*c - 38, 5*p = 4*c - 126. Let g(a) = -8*a - 235. What is g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1511*x**2 - x - 2*x + 775*x**2 + 3*x + 733*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.72 + 0.42. Put -0.4, 4, b in decreasing order.\nAnswer: 4, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*o + 17832, 4451 = -0*w + w - o. Suppose 4*z - w - 989 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -15*y**3 - 2*y**2 + y - 3. Let q(u) = 61*u**3 - 53*u**2 + 227*u - 159. Let x(f) = -4*p(f) - q(f). Factor x(g).\nAnswer: -(g - 57)*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 5*s**2 + 10*s + 16. Determine k(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m - 100*m + 7 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -95. Let u = -114 + v. Let a = -16 - u. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -16)*(2 + -1). Suppose -q + p = -o, -o + 5*o + 28 = 2*q. Solve n = -5*c - 6 - 10, -n + q = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19393 - 2051 - 7868 = 829*b + 3019 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 162?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*g**2*k**2 + 176464*g**2 - 2*g*k**2 + 69735*g + 13*k**2 - 2*k - 2 wrt g?\nAnswer: -82*k**2 + 352928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 2, s: 5, q: 5, j: 1, p: 2}. What is prob of picking 2 q?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-833)\/(-357))\/((-42)\/(-414))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*20\/(-280))\/((3\/3)\/(-77))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*r - 8, r - 2*r = 3*m - 3. Suppose -3*o = -2*c + 8, 6*o - m*o + 4 = c. Suppose -4*y = 4*v - c, y - 4*v = -2*y - 4. Solve 3*t - 3 + 9 = y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 85, 138, 211, 310, 441, 610?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(6300) + 3 - (2 + sqrt(6300))*-5)**2*2)*-2.\nAnswer: -907986 - 20160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 2637?\nAnswer: -2622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 2336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.8 and 520.3275?\nAnswer: 536.1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 176, 184, 208, 254, 328?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 437*o**6 - 3*o**2 + 113*o wrt o.\nAnswer: 52440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 + -633\/5. Let b(i) be the first derivative of 2\/5*i**2 + 4 - 2\/15*i**3 - c*i. Factor b(f).\nAnswer: -2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**3)**(-25))**25 assuming m is positive.\nAnswer: m**1250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -2 (c) 0.117 (d) -4 (e) 0.035 (f) 2 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1300 = 1460. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13323 - 101110020?\nAnswer: -101030031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 395031.4l in millilitres?\nAnswer: 395031400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynfynyyf. Give prob of sequence nff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 24*k**4 + 6*k**3 - k**2 + 9. Let j(u) be the second derivative of z(u). Let x be j(-11). Round x to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 51363*f**2 - 51264*f**2.\nAnswer: 99*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.7, 285, 3.375 in decreasing order.\nAnswer: 285, 3.375, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q + 2. Let n = 43 + 19. Let w = n - 58. Let b be j(w). Solve 0 = -i + 3*h - b*h + 4, 3*h = -3*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q - 3*j + j, 2*j + 6 = 0. Suppose -12 = -3*c - 4*r, 5*c - r - 20 = -0*r. What is the second derivative of 4 - q*f**5 - c + f wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/8 + 111867*i\/8 + 24747425\/2 = 0 for i.\nAnswer: -110975, -892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -73, -107, -143?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64535 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763555111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 17. Let k(h) = 6*h - 28. Let d(m) = -2*m + 8. Let s(z) = -7*d(z) - 2*k(z). Determine u(s(b)).\nAnswer: 2*b + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66924 and -0.54.\nAnswer: 36138.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 3 = 5*j + 10*q, j + 6*q = -25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15848 + 32855\/2. Let p = 607 - k. Calculate the common denominator of p and (-2)\/5 + 18\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + (-2*sqrt(144) - sqrt(144)))*4)\/sqrt(12))\/((sqrt(6) - (sqrt(6) - -3*(sqrt(6) + sqrt(6) + 1*sqrt(6))))*-4).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -788.9391026 to two decimal places.\nAnswer: -788.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 3*c**2 - 2158*c**3 - 2176*c**3 + 8682*c**3 - 2166*c**3 - 2157*c**3. Let h(o) = 99*o**3 - 13*o**2 - 13*o. Calculate 6*h(m) - 26*z(m).\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 419 + 678 = 19*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:36 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3440*j*z**3 - 7*j*z + 1692*j - 7*z**5 wrt z.\nAnswer: 20640*j*z - 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23042 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*m**2 + 2 + 2*m**5 - 4*m**5 + 12*m**6 - 203*m**2 wrt m?\nAnswer: 1440*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - v - 2. Let h(l) be the first derivative of l**3\/3 + l**2\/2 + l + 12. Suppose 4*d + 13 = -3*i, -2*d = 5*i + 2 + 1. Determine i*g(t) + h(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*o + 103 = 0, 99 - 8 = 4*i - o. Let f = 83 + i. Calculate the remainder when f is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2\/7, 45706.9, -2, 2\/3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (64 - 34)) + 45.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/39456365 and -44\/35425?\nAnswer: 197281825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*w - 1093 = -161*w + 391*w + 48985 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by 284.\nAnswer: 73\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + m - 1. Let y be r(1). Suppose 3*k - y = -2*g + k, 3*g = -4*k + 14. Let b be -1*(-2 + (-6)\/g). What is the third biggest value in 3, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvidhsv. What is prob of sequence id?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6*r - 41 = -r, -c - 5*r = 29. Let o = 388 + -383. Sort o, c, -0.3.\nAnswer: c, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 e when four letters picked without replacement from ioaiieeaieeea.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 1130*u.\nAnswer: 5*u*(u - 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877, 1070, 1331, 1654, 2033?\nAnswer: 2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2775*m + 2788*m + 156 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Factor -3*w**2 + 2*w - s*w + 7*w.\nAnswer: -3*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20535 - 1011?\nAnswer: 16524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 2771640.\nAnswer: 2771640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -223031132210 (base 4) to base 2\nAnswer: -101011001101011110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -33, -1\/43, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 32 (b) 2 (c) -3 (d) 5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -118. Differentiate -72 + 19*g**3 + 42 + 40*g**z - 124 + 2*g wrt g.\nAnswer: 177*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 9*h - 153. Calculate l(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598643 is divided by 2079.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 2. Determine q(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 5, 5.24, 1, 3 in descending order.\nAnswer: 5.24, 5, 3, 1, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 10 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 151, -1 in ascending order.\nAnswer: -1, -0.2, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1*22\/726?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0 = -8. Suppose z*s - 18 = -2*w, -4*s - 48 = -2*w - 18. Find the first derivative of 6 + 0 + 3 + v**4 - w wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3361*o - 14691*o - 360 + 360 in the form l + r*o and give r.\nAnswer: -18052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m - 336114 = -3*o, 4*o + 4*m = 448144. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 17 = 4*c, -4*k - 2 = -4*c + 30. Solve 4*b - c = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*y**3 + 28*y + 8 - 23*y - 15*y**3)*(-3 + 2 + 0 + 2*y) to o*y**2 + w*y**4 + g*y + j + c*y**3 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2611*l**2. Let x(w) = -2*w**2. What is x(k(t))?\nAnswer: -13634642*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 75 = 2*c - 12*c, -2*c = 3*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52793*o**2*y + 2047*o**2 - 441088278*y wrt o?\nAnswer: -105586*o*y + 4094*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1252, 1253, 1254, 1255, 1256?\n\"Answer: y + 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2700.8 + 1634. Round d to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 2. Suppose 21 = -2*f + 5. Let g(q) = -q - 1. Let c(r) = -1. Let o(n) = -6*c(n) - g(n). Let a be o(f). Let i(x) = x. Give a*v(d) + 3*i(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (35\/(-2))\/((-7)\/(-238)). Let r = h + 1262. What are the prime factors of r?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 - q**2 + q**2)*(-1 + 2 + 0)*(-q + 2*q - 2*q) to l + b*q**2 + i*q**3 + d*q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -4*k. What is the second derivative of 21*q**2 - 6*q - 3*q - k*q wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914989731.\nAnswer: 3, 304996577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 184 = -4*m - 152, -3*m = -4*z - 17. Let s(o) = -o**3 + 10*o**2 + 6*o + 24. What is s(m)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 z when three letters picked without replacement from xvuvmxuuxouxzxu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 6. Let d = -0.4781 - -0.1781. Put 1\/7, -3\/5, d, p in descending order.\nAnswer: p, 1\/7, d, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10 + -5 + 3 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38025920113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 3, u: 2, m: 1, t: 3, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 + 0 + 0)*(-1 + 5 - 2)*(-566*u + 1277*u + 588*u) in the form r*u**3 + a*u**2 + g + m*u and give r.\nAnswer: 5196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 + 24957*d\/4 - 6561555.\nAnswer: -3*(d - 7084)*(d - 1235)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)*d**6\/d)**(-44) assuming d is positive.\nAnswer: d**484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1\/2 (b) -0.04 (c) -1\/13 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521989.\nAnswer: 13, 40153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = -158*l + 5*l + 69273. What is the remainder when l is divided by 141?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41245.89 to the nearest one hundred.\nAnswer: 41200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 197 = -53. Suppose 0 = y - 3*h - 27, h - o = -3*y + 5. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 179\/13 (c) 1\/866 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1330 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11935, -11948, -11965, -11986?\n\"Answer: -2*q**2 - 7*q - 11926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134397205?\nAnswer: 5, 47, 571903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 598?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - v**4 - 42*v**4 + (-v**3 + 0*v**3 - v**3)*(-3*v + v + v) - 2*v**4 - 2*v**4 + 5*v**4.\nAnswer: -42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**4 - 1215*m**3 + 111261*m**2 - 630369*m + 520320 = 0.\nAnswer: 1, 5, 128, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000 (base 5) to base 14.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-39)\/91 - 67\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106360 = 5150*n - 2496*n + 5308*n + 76766 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 780260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 4*r**3 - 3*r - 7*r**3 + 0*r**4 + r**3 + 2 as f*r**3 + k*r**2 + t*r**4 + g + c*r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 - 4*k + 6. Determine y(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/840 - f**6\/72 + f**5\/24 - f**4\/8 + 2*f**3\/3 - 8*f**2. Let k(c) be the first derivative of y(c). Determine k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 18*z + 19*z + 5 = 0, m + 3*z = 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.04 + -0.04. Let m = 13 - k. Sort 0.4, m, 0.1 in descending order.\nAnswer: m, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (4 + (-2 + sqrt(833) - sqrt(833)) - (sqrt(833) + -3*sqrt(833))*6))*-3*6)**2.\nAnswer: 621831168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2 - -1. Let i(u) be the first derivative of 0*u**2 - 1 + 2\/5*u**5 + 0*u - 1\/3*u**6 + h*u**4 - 2\/3*u**3. Determine y so that i(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, 1 h, and 1 l when four letters picked without replacement from levjjeehvjj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/38)\/((-16)\/(-2) - 117\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31755 - 3239101\/102. What is the common denominator of (6\/187)\/(6651\/178838) and s?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*n - 17 = 0, 2*n - 1 - 1 = 0. Suppose 6 = -2*c + o, 3*o + 9 = 3*c - 6*c. Let f be 5*m\/(1*c). Let a(d) = -d**2 - 6*d - 2. What is a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42 and -168.3.\nAnswer: -126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 519690?\nAnswer: 2\/259845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/13 and 113\/190834.\nAnswer: 2480842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 15) to base 14\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 33*d**2 - 30*d + 68. What is the smallest common multiple of 24 and k(-32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 750*f**4 - 2577*f**2 wrt f?\nAnswer: 18000*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5743380644 - 1?\nAnswer: 9.5743380644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116927 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110824 is divided by 307?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 92195823823?\nAnswer: 92195823825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 1)*(0*p + 2*p - 4*p + (2 - 1 + 1)*(2*p - 4 + 4)) - 463 - 85*p + 182*p - 92*p in the form i*p + o and give o.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.132 + -2.432. What is the biggest value in -10\/11, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14187 + 13813 = 22*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 256 = -4*m. Let b = 15 + m. Suppose -b = -3*v - 31. What is the least common multiple of v and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/4 - y**2\/2 - 1. Let g(j) be the third derivative of -5*j**4\/24 + 10*j**2 + j - 83. Determine g(q) + 2*o(q).\nAnswer: -2*q**3 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o**2 - 40*o**2 + 4 - 39*o**2 + 124*o**2.\nAnswer: 3*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 + 1208*d - 94360 = 0.\nAnswer: -674, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:26 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 5986*h + 3*h**4 + 25*h**4 + 3 - 5947*h in the form b + x*h**2 + k*h**4 + s*h + r*h**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 15*z**4 - z + (-2*z**2 + 3*z**2 + 0*z**2)*(0*z**2 + 0*z**2 - z**2).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626 a factor of 4357680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*b - 450*b - 490952 = 0. List the prime factors of b.\nAnswer: 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 7. Let k(b) = -2*b + 13. Let c(q) = -6*k(q) - 11*l(q). Suppose 3 = -3*h - 0*h. Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791.9*-1.\nAnswer: 791.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:26 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 22*n**2 + 13.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 577*k**2 - 4*k - 16. Let h(x) = -2*x + 15. What is d(h(a))?\nAnswer: 2308*a**2 - 34612*a + 129749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 55. Calculate the highest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2, -2.2, -222 in decreasing order.\nAnswer: 2, -1\/7, -2.2, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**5 + 0*i**2 + 0*i**2)*(3 - 4 + 0) + 1411*i**2 - 943*i**5 - 1411*i**2 - 1316*i**5.\nAnswer: -2262*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20102 (base 3) to base 7\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 329*p - 15128. Calculate o(46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5989720 (base 10) to base 2\nAnswer: -10110110110010101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(x**2 + x**2 - 4*x**2) - 2*x + 2*x - 2*x**2 - 2*x**2 + 0*x**2 - 8*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22634, 22635, 22636?\nAnswer: 22637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2018.274?\nAnswer: -807.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -476, -437, -396, -353, -308, -261?\n\"Answer: g**2 + 36*g - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1148 and 128?\nAnswer: 36736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 13*l - 25 = 0, -2*y = 4*l - 28. What is the common denominator of 77\/6 and (-444)\/496*(-14)\/(-3) + y?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9293 is divided by 3082?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 283.48269 months?\nAnswer: 0.236235575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -2504621\nAnswer: 37569315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001201893 to 7 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206982 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((sqrt(891)*4 + sqrt(891) - sqrt(891)) + 4)*6 - (sqrt(891)*5 + sqrt(891) + 5 + 2)))**2.\nAnswer: 7128*sqrt(11) + 289168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/4 - 655975*c**2\/4 - 26867938188*c + 8533623937293 = 0. Calculate c.\nAnswer: -328146, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395272633.\nAnswer: 7, 179, 315461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*232\/203*-1*1\/(-140).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/8 + 7*k**3\/6 + 11297*k**2. Let u(f) = -1. Calculate d(m) + 6*u(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -3) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**4 - 11*a - 14 - 9*a**4 + 15 + a**3 + a**2 as g*a**4 + q*a + h*a**2 + o + u*a**3 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120068651 at least as big as 120068652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 4, z: 3, d: 4}. Give prob of sequence zaa.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 2, w: 2, m: 1, s: 1, n: 2}. What is prob of picking 1 s and 2 w?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-11)\/(-3))\/(2\/(-102)). Let r(l) = -2*l**3 - 25*l**2 + 6*l + 34. Is r(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31711645 divided by 31243?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1142)\/571*((-1876)\/8)\/(-7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3348376 is divided by 33821?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5506378.\nAnswer: 2, 2753189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13157 and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 18. Let j = b + -11. Let z be 3\/(((-1)\/9)\/j). What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34332, -68658, -102984, -137310, -171636?\n\"Answer: -34326*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -788*r - 921. Is q(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 2*d + 5. Let s(y) = y**2. Let n(i) = h(i) + s(i). Give n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0. Let q = -14.97 - -15. Let f = q - 0.43. Put g, f, -4 in decreasing order.\nAnswer: f, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*18)\/3*((-3158)\/45791)\/(4\/(-58)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -r + 3 + 1, 3*r = 5*s + 12. What is the closest to 1 in r, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6898774.\nAnswer: 2, 269, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z - 3. Let d(n) = 10*n + 4. Suppose 14 = 3*y - y. Give y*i(l) + 5*d(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50118983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111846, 223682, 335508, 447318, 559106, 670866, 782592?\n\"Answer: -j**3 + j**2 + 111840*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(432)*-2)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 20654?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 5*o**2 - 3*o + 13. Let w(z) = 93 + 2*z**2 - z - 125*z**3 - 131*z**3 + 257*z**3 - 87. Give 4*q(m) - 10*w(m).\nAnswer: -2*m**3 - 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/40 + 3*o**5\/4 - o**4\/4 - 27*o**3\/2 + 48*o**2 - 5*o - 2. What is z(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.2, -0.06, 4 in increasing order.\nAnswer: -7.2, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = y - 5*m, 3*m + 4 + 5 = 0. Suppose -2*o - y*o + 170 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 14*g**2 + 40*g = 0.\nAnswer: -20\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 63. Calculate n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 3*l. Let k be t(2). Let f(d) = d - 5*d**k - 3*d**3 + 5*d**2. List the prime factors of f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 10 + 7 - 1 - 171*r.\nAnswer: -171*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -126*p - 2621. Determine o(-21).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -2\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 7. Let y be 6*(-4)\/(-84)*7. Let r = y - -4. What is l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*n = 4, 8 - 31 = -4*z - 5*n. Let f(i) = 62 + i**z - 70 - i + 0*i**2. Let m be f(6). Solve -5*h - m = -2*y - h, -4*y + 4*h = -28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/5 - 1452559664*c\/5 - 263741197184974112\/5 = 0.\nAnswer: -363139916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13766.\nAnswer: 2, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u - u)*(0*u + 6*u + 7*u).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50890 and 24150?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-7))\/(-1) + (-133680)\/(-210)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 2.05. Let k = -182\/5 - -36. Suppose 17*l = 15*l - 10. Sort j, l, k.\nAnswer: l, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 45\/2. Let x(q) be the first derivative of 0*q**3 - 3 + f*q**2 - 1\/4*q**4 + 0*q. Factor x(c).\nAnswer: -c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3))**32)**(12\/17)*u*u*u*u\/(u**(-1\/7)\/u)*u**(-1)*(u\/(u*u**(-1\/5)*u))**43 assuming u is positive.\nAnswer: u**(-35923\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 16.\nAnswer: 41\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -779*w**2 - 456*w - 81054.\nAnswer: -1558*w - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10982*l*s - 383761*l + 19*s**3 - 1 with respect to s.\nAnswer: 10982*l + 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -3. Let x be 1\/q - (-24)\/(-32). Let g = 3 - x. What is the biggest value in -1, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6 + 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (108\/30*1)\/((-2)\/(-10)). Let q be (-54)\/(l\/(-3)) - 6. Solve -j + 5 + 5 = -2*r, 4*r + 24 = q*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303.494 rounded to 0 decimal places?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -553*z - 372. Calculate b(-1).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2421286 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 66. Let v be 6\/4 + o\/(-2). Let k be 3\/4*v\/(-39). Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 9*i**2 + 9. Calculate the lowest common multiple of u(-9) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a. Suppose a*i + 302 = 2*i. Let k = i - 74. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*g + 9 - 15 = 0, 2*v + g - 5 = 0. Let y(i) be the first derivative of 3*i**2 - 3*i**v + 12 - i - i**2. What is y(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 2:25 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -134*z + 135 + 133. Solve z*x + s = 6, 2*s + 4 = -x + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6055 to two decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(242) + 2*sqrt(288)))**2 - (-5 + 1 + sqrt(50) + sqrt(50) + -1).\nAnswer: -10*sqrt(2) + 233933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27534578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 7*c**3 + 0*c**3 + 3*c**3 + c + 2 - 5*c**2. Let u(i) = -3*i**3 - 5*i**2 - 3*i + 2. Let z(b) = -2*d(b) + 3*u(b). Calculate z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1304 - -324452?\nAnswer: 325756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 23 - (-2 + (-1 - (4 + -3)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + -11 + 4 + -6 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*s + 208*s - 52321515 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011 + -10000100?\nAnswer: -101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/15 + 11\/15. Let z = -18 - -9. Let v = z + 9.08. Which is the closest to 1? (a) v (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 407284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:32 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 835411507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*36\/30 - -42. Let q = -27 + 135. What is the greatest common factor of a and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5151*u + 5486*u + 3560*u - 331968 = 365*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + q + 67*q + 0*q - 82*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3132 and -35\/6438.\nAnswer: 115884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 11:50 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4064 by -1.\nAnswer: -4064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11263313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 8 + 6 + 42*m**2.\nAnswer: 42*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h - 5*n + 52 = 0, -5*h = 3*n - 60. Let t be (h - 1)\/((-2)\/(-10)). Calculate the highest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in 13, -1\/2, -4, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennnnnnnnnnnnnng. What is prob of sequence gnnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10725 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and (10 + -4)\/3*252\/8?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-5 - (-2)\/2). Let w be r + 0 + 2 + 6. Suppose -3*t + 2238 = -b, -3312 + 323 = -w*t + 3*b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 449\/164 + -20\/41. Let b be 4\/((-32)\/4)*-2. Which is bigger: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*a - 47*a + 150. Suppose -2*f = 5*w - a, 2*w - 2 = 3*f - 11. Solve 2*u = -2*d - 8, 2*u + 0*u + 15 = f*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.665 + -0.135. Round r to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmttttttmmmmm. Give prob of picking 1 m and 3 t.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, 110, 523, 1348, 2723, 4786, 7675, 11528?\n\"Answer: 23*a**3 - a**2 - 19*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g + 11. Let w be o(2). Let p be -1*(w\/(-14) - 14\/4). Suppose p*q = 2839 + 2852. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 5.\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -ae519c?\nAnswer: -ae5192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpt when three letters picked without replacement from dpdkkdpptq?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -9 + 3. Suppose -f*s - 4*u + 23 = 0, -u - 13 = -0*s - 3*s. Suppose 40 = 8*g - 3*g - s*a, -12 = -3*a. 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: Collect the terms in 34 + a**3 + 4*a**3 - 6.\nAnswer: 5*a**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Calculate the smallest common multiple of m and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 46?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 8*g = 0. Suppose 3*z - 2*z - 6 = g. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, -5\/2, -6.5, 0.3, -0.5, 60?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177830955?\nAnswer: 5, 7, 151, 222863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 1:10 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1385*i. Let s(q) = 9*q. What is y(s(n))?\nAnswer: 12465*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 241*j**2 - 31469*j + 1977. Determine z(-94).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2*f)\/((f\/(f*f**9))\/f*f) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85, -52, -19, 14, 47, 80?\n\"Answer: 33*s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2527890198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408196501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 933465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35488 - 248410\/7. Let o be (1 - 3\/7)\/2. Which is the nearest to -1? (a) f (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l + 4. Let n(j) = -j**2 + 16*j - 4. Let y(b) = -3*n(b) - 4*z(b). What are the prime factors of y(-9)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5301919?\nAnswer: 7, 757417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let r(j) = 3*j + 2. Let b(w) = 2*i(w) + r(w). Suppose -3*m = -6*m - 24. Give b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**2 - 3*p - 114. Let o(w) = -7*w. Calculate y(o(n)).\nAnswer: 637*n**2 + 21*n - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.78645 to 2 dps.\nAnswer: -33.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -925785121 divided by -40251527?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4*h**2 - 16\/3*h**3 - 23 + 0*h. Find the second derivative of v(t) wrt t.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 2*x + 5. Let y be j(-4). Let o(q) be the second derivative of 1\/3*q**3 - q + 3\/2*q**2 + 0. Determine o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*z = 10, 4*d - 8 = -3*z - 0. Let l be (-3 - -3)*d\/(-4). Let u(c) = 2*c**3 + l*c**2 - c**2 + c + c**2 - 3*c**2. Calculate u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24688262, 24688260, 24688258?\n\"Answer: -2*k + 24688264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c**2 + 4*c**3 - 48*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 314 + -320 - (-26 - 0)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301122 + -33?\nAnswer: -1301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*z**2 + 28 - 12 + 93*z**2 - 7 to the form h*z**2 + w*z + q and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -13 + (-38 - (9 - (27 - -9))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:08 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -553420 - -553463.00004. Let f = -43 + k. Round f to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*s + 111 - 103, -3*j + 10 = -s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1208 (b) -3\/4 (c) 1\/11 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/3, -22\/1043.\nAnswer: -2\/3, -22\/1043, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 26, 35, 44, 53, 62?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63\/4 + 15*y - 3\/4*y**2.\nAnswer: -3*(y - 21)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -31*p**2 + 529. Let n(r) = 2*r**2. Determine z(n(i)).\nAnswer: -124*i**4 + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f - 10*f**3 + 46*f - 16*f**3 - 26*f + 28*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.04993 plus -82?\nAnswer: 680.04993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 9 - 9\/(-3))*4*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 5 (c) -0.3 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20 - 21)*4\/((-12)\/57). Let k(w) = 791*w + 19 - c - 790*w. Calculate k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2065*f + 32381 - 10632 = -60851 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36670, -37315, -38396, -39919, -41890, -44315, -47200, -50551?\nAnswer: -54374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -50. Is h != -66\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13013 (base 4) to base 6\nAnswer: -2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 8*p - 7*p. Let u = -7 + 8. Let g(w) = -u - 7*w**2 + 1 - 7*w + w. Let m(f) = -15*f**2 - 13*f. Determine p*g(q) + 6*m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 555738349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 - 7*f + 42. Suppose -31*i + 26*i + 35 = 0. Is d(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l + 4. Let k(w) = 1. Calculate -12*k(n) + p(n).\nAnswer: 8*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*s + 23 = h, -3*s = -h - 7. Let w = h - 5. Suppose 0 = -w*t + t - 8800000. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -1073 in decreasing order.\nAnswer: 4, 1, -1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5787\/700 + 3\/175. Let w be 1*-4*(-18)\/8. Let z = g + w. Which is the nearest to 1? (a) -0.4 (b) z (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 29*s**3 - 4*s**2 + 20*s - 21. Is h(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-5)\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 44241989.\nAnswer: 44241990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*r - 350, 4*r + 385 = t + 4*t. Suppose t = 3*v - 95. Suppose -5*p = -p - v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 17, -18, -75, -148, -231, -318?\n\"Answer: d**3 - 20*d**2 + 46*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12110109.\nAnswer: 3, 11, 366973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 615 divided by 3997\nAnswer: 615\/3997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - -13.17. Let w = -5 - f. Let z = 17.99983 + w. Round z to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, -3.74, 9, -2\/7, 3 in decreasing order.\nAnswer: 9, 3, -2\/7, -9\/7, -3.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -69, 1486.6, -9?\nAnswer: 1486.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 13*d**2 + 11*d - 18. Suppose 0 = -3087*s + 3081*s - 72. Calculate c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40413 - 23044. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x - 7 - x + 3*x + 7*x. Calculate t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 90*b**3 - 3*b**2 + 2*b + 3. Does 37 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 6*r + 6. Suppose -4*n - 30 = 5*j, -j - 5*n = 3*j + 24. Calculate w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 19*m - 6. Suppose 0 = -5*p - 5*q + 45, -3*p = -4*q - q + 5. Let t be i(p). What is t rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175502, -351002, -526502, -702002?\nAnswer: -877502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let a be q*(4 - (-92)\/(-24)). Let r be -5 + 3 + (1 - 1). Sort 2\/5, a, r in decreasing order.\nAnswer: 2\/5, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7662483 litres in millilitres?\nAnswer: 766.2483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3090876 and -103\/6754?\nAnswer: 33999636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/12920 and 79\/11628.\nAnswer: 116280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (29 - (12 - 3)) + -11 - 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 3\/25 (c) -0.4 (d) -0.05 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27281886?\nAnswer: 2, 3, 127, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*l = 4*l + 16, -2*c + 2*l = -2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 17*x + 17*x + 12*x**2.\nAnswer: 12*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.5 + -2.5. Let o = 13 - n. Let q be (15\/12)\/(2\/(-8)). Put 0, q, o, 2\/5 in ascending order.\nAnswer: q, 0, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -15. Let o(t) = -t**2 - 6*t + 4. Let l be o(-6). What is the first derivative of 3*y**2 - l*y**m - 2*y**2 - 3 wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352662582 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 37 - (-27 - (-21 - 23)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by 2?\nAnswer: 425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 7416 - 7216 = 0. Solve 25 = -2*j - 3*x, 3*j = -11*x + 9*x - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*l**3 + 96*l**3 - 190*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48465663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 112. Let w = -10 - r. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 18 - (20 - (3 - -11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/12)\/(5\/(-30)). Suppose -4*h + 0*h - a = 15, p*h = -a - 9. What are the prime factors of 141\/2*(-2)\/h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 244 + -242. Solve -q = -4*c - 2*t, -c + 0*c + 2*t - 12 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 160. What is the remainder when z is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(75) + 1)*-3 - (2*((-2*sqrt(75) - sqrt(75) - sqrt(75)) + sqrt(75)))**2)*5*6.\nAnswer: -81088 - 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391729 and 338.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l**2 + 33*l - 23. Calculate t(9).\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, -1, -1\/12, -2\/69, 14 in ascending order.\nAnswer: -15, -5, -1, -1\/12, -2\/69, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlw when three letters picked without replacement from {b: 1, w: 1, u: 2, j: 1, d: 1, l: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, -3*b + 4*t + 9 = 42. Let d = -8 - b. Let a(g) = 3*g + d - 5*g - 3. Let c(r) = 7*r. Calculate a(c(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, q: 2, l: 2, y: 2, z: 1}. What is prob of picking 1 z and 1 l?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2709\/14)\/9 - 20. Suppose -2*m - 14 = -5*o + 2*o, 0 = 2*o - m - 8. Factor r + 1\/2*c - c**o.\nAnswer: -(c + 1)*(2*c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.43 from -39.8.\nAnswer: -44.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i + 127. Let s be f(37). Suppose 0 = k - 14 + s, 11 = 3*g - k. Solve g*v = o, -2*o + 10 = o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(14) - sqrt(56))*-4)\/(sqrt(10)\/sqrt(5)*2).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1004 - 1032) + (1 - (0 + -16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**4 - 5*x**4 + 3*x**4 - 2*x**3 - 2*x**4 + 2*x**3 + (0*x + 0*x - x**3)*(2*x - 4*x + 0*x) + 2*x**4 - 3*x**4 + 3*x**4.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:04 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-344 + 5170 + 646)*(2 - w - 2) in the form p*w + n and give p.\nAnswer: -5472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*t = -88, w + 5*t - 66 = -2*w. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103210301 (base 4) to base 7.\nAnswer: 2624010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*m**3 - 926*m**3 + 211*m**3.\nAnswer: -1330*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*x + 2 = -93*x. Let q(p) = 7*p + 5. Let h(s) = 28*s + 19. Let v(g) = 6*h(g) - 22*q(g). List the prime factors of v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*3)\/((-6)\/(-8)). Suppose 0 = -3*m + m + c. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383395 or -383393?\nAnswer: -383393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 148 = 4*x, 0 = -g + 4*g - x + 107. Let k be 1 - (g\/(-9) + -3). Let p = 0 + 0. Solve 2*i + k*i - 8 = p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 93.999959. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 22. Let b(t) = -t**2 + 11*t - 8. Let a be b(9). What is the greatest common factor of a and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(18\/(-810))*8\/(-10)*2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:13 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 272879790 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 8?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.4 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*a**4 + 2*a + 358 wrt a?\nAnswer: -48*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152872705 a multiple of 2619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015869523 to seven decimal places.\nAnswer: -0.0001587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1637, -3280, -4937, -6614, -8317, -10052?\n\"Answer: -k**3 - k**2 - 1633*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -142. Solve 10*h - 7*h + n = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8895\nAnswer: 2\/8895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-10) + 1\/5. Suppose 0 = p*f - 18 - 66. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 6*j**2 + 9*j**2 - 5*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 529728*n**2. Let w(i) = -58*i. What is w(x(d))?\nAnswer: -30724224*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/120 - c**5\/12 + c**4\/12 - 7*c**3\/6 - 3*c**2. Let s be v(5). Solve 0*j + 7 = -4*y + s*j, 0 = 4*y - 2*j + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53863*j**3 - 9*j**2 + 2*j + 21506.\nAnswer: 323178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzwcrc. What is prob of sequence rz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.788132 millilitres in litres?\nAnswer: 0.006788132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1563870, -3127689, -4691508?\n\"Answer: -1563819*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 + 7*n - 4. Let o(s) = s**2 - s + 1. Let l be 1\/2*2 - (-2)\/1. Suppose 0 = x + 3*i + 8, -24 = 4*x + l*i + i. Determine x*o(w) - b(w).\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.2 + -38.3. Let r = p + 11. Let c(k) = k**3 - 7*k**2 - 9*k + 4. Let q be c(8). What is the third biggest value in r, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 = -0*d + 4*s, 3*d = 5*s + 50. Let h be 6\/d + 36\/10. Sort -3, h, -2 in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuauuu. Give prob of picking 2 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 354*s + 1420. Give r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Let y(q) = -21*q + 11. Let j(d) = -7*d + 4. Let g(p) = 11*j(p) - 4*y(p). Give c(g(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12692\/10315 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3) - (sqrt(3)*-3 + -1)) + 4 - (sqrt(198)\/sqrt(275) - sqrt(18))\/(sqrt(6) - -4*sqrt(30)\/sqrt(5)))**2.\nAnswer: 32448\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppgmdgdggmpgm. Give prob of sequence ppmg.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, 1320, -34, -0.4, -1\/2, -3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32400)\/(-63))\/(1\/140). Suppose 18*s - 10*s = -l. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {r: 6, p: 2, q: 1, z: 3, n: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 178.2. What is the nearest to -1\/4 in h, 59, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 8\/(-6)*6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.92325 rounded to 1 dp?\nAnswer: -225.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0 - 44 = -l, 3*l + 50 = -5*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = 5*m. Let q = m + 18. What are the prime factors of 1\/q + 845\/78?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, -3, 1\/5.\nAnswer: -3, -2\/9, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**7\/40 + 3*k**4\/4 - 6*k**3 + 20. Let h(x) be the third derivative of i(x). What is the first derivative of h(r) wrt r?\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161375 and 1467.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, e: 1, x: 1, b: 1, k: 7}. What is prob of picking 1 x, 2 k, and 1 j?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -4\/9*u**3 - 1\/18*u**6 - 1\/2*u**4 + 0*u - 4\/15*u**5 + 62 - 1\/6*u**2. Suppose d(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66)*2 + sqrt(66))*3)\/(sqrt(18)\/sqrt(3)*-1))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83636819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 461299524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwjjww. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/((-7)\/35). Determine u so that -2*u**4 - u**5 - 2*u**5 + 3*u**3 + f*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23190941, 23190944, 23190949, 23190956, 23190965?\nAnswer: 23190976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 + 145. Let o be (-1 - -1) + (-4)\/(-18) + 340\/90. Calculate the greatest common factor of o and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.55. What is the nearest to 0 in t, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4608\/7 + -658. Let n be (-1)\/5 + 23\/65. What is the nearest to x in -4, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 6*g + 6. Let f = 3 + -9. Let b be q(f). Factor 10*i**4 + 6*i - 4*i**2 - b*i**3 - 6*i.\nAnswer: 2*i**2*(i - 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -356, -807, -1438, -2249?\n\"Answer: -90*l**2 - l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 148, 152, 164, 190, 236, 308, 412, 554?\n\"Answer: f**3 - 2*f**2 + 3*f + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let c(a) = 2*a. Let m(g) be the second derivative of g**3\/6 - 2*g + 1. Let v(k) = -3*c(k) + 5*m(k). Give -2*q(s) + 5*v(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(36\/(-4))\/306?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*p + 64, p = 4*l - 4*p - 91. Suppose -l*h + 15640 = 4*h. Does 40 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 9. Suppose 5*y - 13 = -j. Suppose y*l = l + 10. What is the remainder when 19 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 381 - 549. Let a = -27\/34 + 1033\/102. What is the common denominator of a and (-5 - (-180)\/35) + (-158)\/t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-2) - (6 - 18\/2). Let l(z) = -z**3 - 10*z**2 - 6*z - 9. Let x be l(s). Suppose -x*y - 249 = -54*y. What are the prime factors of y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*u - 538*u = -84*u - 6744 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 22 = 2*i + 3*i, -i - 4*o = -18. Factor -7*p**3 - 1 - 2*p**3 + i*p**3 + 60*p - 11*p**3 - 8 - 33*p**2.\nAnswer: -3*(p - 1)*(p + 3)*(6*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 901260 = 8*n, 8 = 8*y - 6*y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3*r - 5*r)*(-r**2 - 3*r**2 + 2*r**2) - 4*r**3 - 5*r**3 + 2*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x. Let l(g) = 6*g + 10. Let d(f) = 42*f + 72. Let q(s) = 5*d(s) - 36*l(s). What is o(q(n))?\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1.5 (c) 30\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650590 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -30. Suppose 3*b + 4 + 15 = 2*i, 20 = 2*i - 4*b. Calculate the greatest common divisor of i and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (16 - 49) + 21 + -33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*k + 9*k + 3355. Suppose -169 = -3*u + 26. Let z = u + k. Solve -z*m - 1 = 3*b, m + 2*m + b + 7 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 29. Let v = 0.1 + -1.1. Which is the nearest to v? (a) d (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*k**2 + 714*k**2 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 414.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**2 + 660*l - 2720 = 0?\nAnswer: -136, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) + -1*sqrt(363)) + (1*sqrt(45) + sqrt(5) - (-1*sqrt(245) - sqrt(245)))**2.\nAnswer: -sqrt(5)\/10 + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 9*p**2 + 3*p + 5. Let f be g(-9). Let q = 20 + f. Let z(k) = -25*k + 1. What is the remainder when z(q) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 (base 4) in base 16?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 773538?\nAnswer: 154707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97278*g**3*u**3 + g**3*u**2 + 469*g**2*u**2 + 5*g**2 wrt u?\nAnswer: 583668*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 4*n. Suppose 3*o + 105 = 114. Calculate t(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4760536 years in centuries?\nAnswer: 0.004760536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*w**2 + 20 - 21*w**2 - 181*w**4 - 67*w**4 wrt w.\nAnswer: -5952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-4 + (sqrt(17) - sqrt(51)\/sqrt(3)) - sqrt(17)).\nAnswer: 120 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**7\/357 - 7*p**6\/255 - 9*p**5\/85 - 11*p**4\/51 - 13*p**3\/51 - 3*p**2\/17 - 19*p. Factor w(i).\nAnswer: -2*(i + 1)**4*(i + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 8*g + 8*g)*(-1 - 11 - 4) - 2*g - g**2 + 2*g in the form j + w*g + s*g**2 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 267 + -261. Let d(g) = -g**3 + 11*g**2 - 15*g + 10. What is the remainder when d(l) is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 1 + (-453)\/18 and (1\/(-3))\/((-8)\/150)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - k = 4*k + 25, -3*o = -3*k - 15. Suppose 2*v + v - 6 = o. Factor -6*a + 3*a**2 + 4*a**3 - a**3 + 0*a**v.\nAnswer: 3*a*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011021102222 (base 3) to base 11.\nAnswer: 390566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*g + 18, 7*g - 2*g = 5*j + 25. Is (-4)\/(-8)*j*-410 - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.2444, -2\/3 in increasing order.\nAnswer: -2\/3, -0.2444, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 1110634 - 57352 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, q: 14}. Give prob of sequence qmq.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/877748 and -121\/160.\nAnswer: 35109920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2 + 7*d**5 + 5*d - d - 4*d wrt d?\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c - 6, -3*c - 267 = 3*o. Let w be o\/69 - 19\/(-3). Calculate the remainder when 76 is divided by -4 - (-2 - w) - (2 - 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 291\/2, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18064 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26487 and 7290?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-105) + (-18)\/(-7). Let y be r - (-1 + 2)\/(-1). Solve y*d + 20 = 0, 6*h - 4*d = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - 18.9. Let r = o - -15.7. Which is smaller: 17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/(4\/36). Suppose 0 = -2*h + 3*s - u - 11, 0 = -4*h + s - 9. Let f be 24\/8*1*h. Let t(d) = -d**3 - d**2 + 5*d + 3. What is t(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 0 in descending order.\nAnswer: 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 + 12*j\/5 - 3.\nAnswer: 3*(j - 1)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/2*g**2 - g**3 - 1 - 5*g. Let a(d) be the second derivative of -5*d**4\/12 - d**3\/3 - 4*d**2 + 43*d. Give -5*a(i) + 8*y(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 257614271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0*y**2 - 4*y**2 + 6*y**2) + y**2 + 4*y**2 - 3*y**2 - 2*y**2 - 2*y**2 + 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -309? (a) 0 (b) 7 (c) -1\/1025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61170140, -122340280, -183510420, -244680560?\n\"Answer: -61170140*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -p - 52 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 896.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103967 is divided by 223.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -603126883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 78, 94, 110, 126, 142?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 34*z + 29. Let v be x(-14). Let n = -240 - v. Let t = n + -144. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 42 = -5*w, 2*j + 66 = -5*w + j. Let z(h) = 2*h**3 + 22*h**2 - 25*h - 22. Give z(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*t - 8*t + 392, 0 = 4*s - 3*t - 527. What is the remainder when s is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-2\/31)*(g\/((g**0*g*g)\/g)*g)**(-4)*(g**1\/g)\/(g**(-1)*g)*((g*(g*g**(-1\/3)*g)\/g*g)\/g)**16 assuming g is positive.\nAnswer: g**(4219\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2*b*b)\/(b**(-6)\/b)*(b\/(b*(b**5*b)\/b))\/(b*(b*b**(1\/8))\/b*b)*((b*b**0*b)**(-2\/27))**(-8) assuming b is positive.\nAnswer: b**(1309\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007701268271 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39855924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -38*p - 20. Let a(u) = -12*u - 2. Let m(h) = 12*h + 3. Let j(x) = -4*a(x) - 5*m(x). Let f(l) = 8*j(l) - 3*w(l). What is the units digit of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, -42, -44, -46, -48?\n\"Answer: -2*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -0. Suppose w*c - 3*k = -9, 0*c - 5*k - 6 = 2*c. Is c smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98211683431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.013 in -4\/3, -0.5, -1, -2\/29, -0.4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeedqqqkeddoeq. What is prob of picking 1 e and 2 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47723 + 46?\nAnswer: 47770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145644, 145648, 145652?\nAnswer: 145656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 + 257. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014346243 rounded to 7 dps?\nAnswer: -0.0001435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f - 5*f**5 - 5*f + 14*f**5 wrt f.\nAnswer: 180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -24. Suppose i = -k + 1. Solve k - 2 = -q + 5*n, -3*n = 3*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 + 529. Let r be 7\/(49\/7)*15. Calculate the greatest common factor of w and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55951, 223761, 503449, 895021, 1398483, 2013841, 2741101, 3580269?\nAnswer: 4531351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (10 + -24 + -70 + 3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 9 - 7 - 12*b)*(0*b**3 + 0*b**3 - b**3) to m + w*b + l*b**2 + n*b**4 + o*b**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -500 - -159. Let i = d - -344. Solve 3*b = -j + 5*b - 2, -i*b = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.1 (c) -2\/5 (d) 176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2\/5 - 1\/2*j**2 + 21\/10*j**3 + j**4 - 6\/5*j = 0.\nAnswer: -2, -1, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 257, 1019, 2545, 5093, 8921?\nAnswer: 14287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 less than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 17795\/(-24661) + (-76)\/(-133). Let p = h - 1\/271. Which is the second biggest value? (a) 13 (b) -1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 72. Calculate the least common multiple of 6 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + -4 + sqrt(468) - sqrt(468) - sqrt(468)) + -5)**2 - 5*sqrt(468)*1)*-3.\nAnswer: -243 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -8 - (2 + 0 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14 = 8*k. Suppose k*r - 4 = 10*d - 11*d, 2*d = 2*r + 8. Suppose r = -4*b - 8 - 8. Sort 1, b, -5 in decreasing order.\nAnswer: 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9 - -9)\/(-3))\/(2*1). Solve -7*c + c + 30 = b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 8, -16, -42, -70, -100, -132?\n\"Answer: -p**2 - 19*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from {r: 3, a: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 5*u - 3. Let m be y(-6). Let r be -2*m\/(-12)*-6. Let v(p) be the second derivative of -p**3\/6 + p. Give v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -20.19. Let t = 0.173 + n. Let d = t - -0.0163. What is d rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100111111 - 12?\nAnswer: -12100111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Let h(g) = i*g**2 + 143*g - 143*g. Let s(a) = 2*a**2 - 5*a**2 - a**2 + 2*a**2. What is s(h(y))?\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 307*t + 47 - 314*t - 308*t + 1 + 924*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2 - (-6)\/4). Suppose 5*p - 2*d + 8 = 2*d, 3*p - 8 = -t*d. Let y = 0 + p. Solve 0 = -u - y*b + 3*b - 11, -5*u = 2*b - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-2529*g**3 - 60*g**4 + 2529*g**3) to z*g**2 + t + s*g**4 + b*g**3 + c*g and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 - y - 7. Let m be u(0). Let k be (-2)\/m + 2\/(-7). Suppose k = -4*w + 17 + 7. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -23\/2, 14\/15, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s + 3*s - 25*s - 7 + 12*s. Let z be v(-9). Suppose 5*g - 299 = 4*o, z*g + 5*o - 194 = -48. Does 38 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -623.822 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 - -294. Calculate the remainder when 34 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240463 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171787.82 + -171788. Let o = 3.9 + 1.1. What is the second biggest value in t, o, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 182*u - 8820 = 0. Calculate u.\nAnswer: -35, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) 2 (c) -464 (d) 4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470343 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 95*s = 381. Solve -3*r + 9 = x - 0*r, 3*x - 3*r = s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from qhjee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - (-65 - (-8416)\/(-1056)))\/((-2)\/6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 0)*(8 - 5 + 4)*(-3*z + z + z).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2730 - 3?\nAnswer: 2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*-102*(-89)\/(-178).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.07, 4\/3, -111.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 1068*r**2 - 95052*r - 2819876.\nAnswer: -4*(r + 89)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -32 - -11)*((-9)\/(-27))\/(15\/18)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 + 7*t - 5. Let r be v(5). Suppose 5*i - r = 4*n - 12, -48 = -3*i - 5*n. Differentiate i*k - 11*k - 6*k**4 - 1 - 6 with respect to k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l + 16. Let x(k) = 4*k + 3. What is 2*c(i) - 11*x(i)?\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*j - 1650*j = 499 + 2609 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 849, 7059, 24355, 58419, 114933, 199579?\n\"Answer: 947*d**3 - 139*d**2 - 2*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -39. Let o(x) = 2*x**3 - 4*x**2 - 7*x + 9. Let d be o(4). Calculate the greatest common divisor of h and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 + 131 - 11 - 3*y**2)*(-2 + 2*y + 2).\nAnswer: -6*y**3 - 194*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -0.4, 5, 2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1691*o + 2 + 3 + 1606*o - 3 to the form s*o + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 195 = -2*u - 11, 0 = -u - 2*i + 92. Solve -21*c = 2*c - u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221096 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4 = 3*h + w, -2*h - 4*w - 16 = 0. Suppose h*y + y = 175. Suppose -4*r - r = -y. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37 + 66*p**2 + 26 + 42 with respect to p.\nAnswer: 132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 174152 = 2*u, 126*v + 174200 = 2*u + 131*v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 171423\/(-20) + (-20)\/(-5). Let i = h + 8565. Find the common denominator of -49\/10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 4*b + 7, 5*p - 28 = b. Suppose p*j = 3*j. Suppose -5*g = -j*g - 295. Round g to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 3, w: 2, d: 1, o: 1, y: 1}. What is prob of sequence ymj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 + f. Let d be y(-1). Suppose -d*v + 60 = -144. Suppose v = 7*g - 607. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9.2130536725.\nAnswer: -5.2130536725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3 - 32126*x**2 - 40168*x - 8034.\nAnswer: 2*(x - 4017)*(x + 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*s - 43, -3*s + 6*k - 4*k = -29. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61953475 <= -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 38\/(13832\/9156))*3*13\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*y + 567. Let t = 17 + y. What is t rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/2 - 405*c**2\/4 - 1050*c - 500.\nAnswer: -5*(c + 20)**2*(2*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o + 10 = 0. Let p be (-3)\/1 - (-35)\/o. Factor 0*v**3 + 2*v**p - v + 3*v**2 - 5*v**2 + v**5 + 0*v**3.\nAnswer: v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179235816?\nAnswer: 2, 3, 44156053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*k - 7*o + 3*o, 2*k - 5*o = -21. Let g be ((-1716)\/(-20))\/3 - 4\/(-10). Suppose 5*q - g = 1. Solve k*l + 0 = q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486218?\nAnswer: 2, 243109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278*d*y**3 - 211*d with respect to y.\nAnswer: 834*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -15 - 33) + 33 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/6 + 5*h**3\/6 - 3476*h**2. Let c(g) = 3*g - 7. Let p(t) = 1. Let m(x) = c(x) + 3*p(x). Determine -4*f(b) - 5*m(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4))**(5\/6)*(w\/(w\/(((w**2\/w)\/w*w)\/w)))**(-1\/8) assuming w is positive.\nAnswer: w**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26)*z*z\/z**(1\/7) assuming z is positive.\nAnswer: z**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1389196588594006 and 0.3.\nAnswer: -1389196588594005.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 98*r + 917 + 658 = 356 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5331 and 21.\nAnswer: 37317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17000, 16991, 16982, 16973, 16964?\nAnswer: 16955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + q + 26 + 27 - 130.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k + 2. Let r be q(0). Let z(p) = p**3 - 16*p**2 - 18*p + 16. Let y be z(17). Which is the biggest value? (a) y (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/5)\/(1\/5). Let a(t) = -2*t**2 + 9*t - 16. Let g be a(3). Let c be 79\/7 + p\/g. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 0. Suppose 22 = 5*f - 5*t + 7, r = -4*f - 3*t - 9. What is the derivative of f*o - 3 + 2*o + 2 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 22\/18*1. Let v = -418\/325 - -36\/25. What is the third smallest value in z, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73866 and 12.\nAnswer: 147732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2550*x**2 + 2*x - 2. Let w(j) = 17*j - 306. Determine w(i(t)).\nAnswer: 43350*t**2 + 34*t - 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13167, -13170, -13175, -13182?\nAnswer: -13191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**4*z + 3*b**4 + b**3*z**2 + 4*b**2*z + 2*b - 10*z**2 wrt b?\nAnswer: -216*b*z + 72*b + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 2013, -355, -3\/4, -1?\nAnswer: 2013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 3*m**2 - 21*m - 48. Calculate the remainder when 401 is divided by w(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6033*r + 591248. Determine u(-98).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 32, -38, -136, -262?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100011?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2. Suppose 0*d - 3*d - 3*w + 45 = 0, 0 = 3*d + 5*w - 43. Let t(y) = 40 - 15 - 24 - d - 3*y. Determine t(h(a)).\nAnswer: -9*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(204)\/(1*(-3*sqrt(12) + sqrt(12) + sqrt(12))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 20*z + 82. Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/48 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 + 13*n**2 - 2*n - 24. Let l be t(7). Suppose 414 = 4*a - l. List the prime factors of a.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w - 3132 = -305*w + 155*w + 594 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4137 by 21.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -159510 divided by 3?\nAnswer: -53170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 18. Let u = -5 - p. Let m = -85.9 + 86. What is the biggest value in 0.3, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 13*k - 14. Let m be (4\/(-5))\/(6\/15) + -9. Let w be i(m). Solve -4*c + 0*t + t = 12, 2*t = -w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v + 32. Suppose -5*t - 29 = a, 2*a - 32 = 10*t - 5*t. What is u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2543 + 4543. Let m be (n\/(-5))\/(2\/(-4)). Let b be (m\/2)\/(4\/35000). Round b to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/6 - (-87 - -76).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5564 and 143.\nAnswer: 61204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - f**2 - 12*f - 14. Let q be k(6). Suppose 3*i + 4*z - 240 = z, 4*i - z = q. Let l = i - 72. What is the greatest common divisor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*b - 14 = i + b - 0, 0 = -4*i + b + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46664543 is divided by 15554843?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 95651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 2. Let j be b(-3). Suppose -3*v - 5 + 17 = -5*w, 4*v - 16 = -4*w. Is w greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3*(-180)\/(-40). Suppose -m*i - 2508 = -15*i. Calculate the highest common factor of 38 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -1350\/13. What is the nearest to 0 in 2, 0.5, 0.7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 2 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2. Suppose 14 = 18*c - 17*c. Suppose 2*v - 2*y + 4 = 2*y, -2*v + 5 = 5*y. Let z(u) = u + v*u + c*u. Give z(g(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*x**2 - 64 + 64)*((2*x + 0 + 0)*(5*x - x - 6*x) + (3*x + 0*x - 5*x)*(-5*x + 4*x + 0*x) - x - x**2 + x) + 22*x**4 + 42*x**3 - 42*x**3.\nAnswer: 91*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668 (base 14) to base 3.\nAnswer: 1201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2*u*x - 12*q**2*x**5 - 180*q**2*x**2 - 2*q**2*x - 5*q*u*x**3 + 2*q*u - 8*q*x**3 wrt x?\nAnswer: -720*q**2*x**2 - 30*q*u - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y. Suppose -2*x + 16 = -96. Let i(c) = -56 + x + c. Determine t(i(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42\/11 in -7, -1\/6, -5\/27, 6\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*k + 69 = -829*k + 408*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 + 130*r + 34. What is f(-21)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -32, -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - h - 43 = -0*x, -5*h = -5*x - 215. Let v = 196 + x. Let l be 4\/(-14) + 121\/7. Calculate the highest common factor of v and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-206)\/(-17))\/2 + 23\/(460\/(-120))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35615981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 157 = -u, -4*u + 52 = 4*p - 2*p. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 5 + (-12 - (-7 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5480\/(-1644) + (-1444)\/6. Is -207 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577 divided by 103172?\nAnswer: -1577\/103172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:43 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 5, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7270524 and 12?\nAnswer: 7270524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 1. Let s be a(-2). Let p = 4 + s. Is -3 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 3*o + 44. Give h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q = -4121 - 21151. Let t be (15\/(-15))\/((-471)\/q + 1). Calculate the highest common divisor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 5*w + 2 + 5*w.\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -3, 1055, 3, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 115. Let o = 0.31 - 0.01. Suppose 28 - 10 = 2*z. What is the biggest value in z, -2, l, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88880.5 rounded to the nearest 100?\nAnswer: -88900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 19*o**3 + o**4 - 2*o + 18*o**3 to the form v*o + y + w*o**2 + a*o**4 + f*o**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2a (base 16) in base 6?\nAnswer: -52110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*f = -16, -2*f = -10*m + 5*m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199513169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -314431223 (base 5) in base 7?\nAnswer: -14164663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/32 + (-18830)\/88480. Let c(n) = -n - 3. Let l be c(-5). Is z equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4772051, -4772049, -4772045, -4772039, -4772031, -4772021, -4772009?\n\"Answer: c**2 - c - 4772051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4 + 4*p - p - 1. Let y(m) = -6*m + 11. Suppose u - 5*o = 19, -5*o = -4*o + 3. What is u*y(f) + 9*c(f)?\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(2\/(-3)). Let v be r - 5*(-2 - -3). Let q = 85 + -83. Put q, v, -1 in descending order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359174?\nAnswer: 2, 47, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -2 - 21\/24. What is the nearest to 0.1 in 2, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -91430821386.\nAnswer: 91430821386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 25. Calculate the highest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y**4 - 10*y**4 + 18*y**2 - 20*y**4)*(1 - 1 + y) + (-8*y**2 + 14*y**2 + 0*y**2)*(y**3 - 2*y**3 + 2*y**3).\nAnswer: 4*y**5 + 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + n. Let t(s) = 2*s. Let u(v) = t(v) + 2*w(v). Factor u(j).\nAnswer: -2*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12026 is divided by 3970?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 134 = 31*l. Suppose -18\/5*h**2 - 2\/5*h**4 - 14\/5*h - 4\/5 - l*h**3 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 0, -20, 1 in increasing order.\nAnswer: -20, -8, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(1296) + sqrt(1296)*2)*-4)\/(-5*(2*sqrt(192) + sqrt(192))*5).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from momoommmoo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 4, q: 3, b: 5, j: 5}. Give prob of picking 2 b and 1 j.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g - 3*t + 202, 2*g - 92 = -4*t. Let a = g - 23. Suppose -a = -4*c + 77. 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 fourth biggest value? (a) -4 (b) -1\/2 (c) -1084 (d) -66782\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.038+2568273242994\nAnswer: 2568273242994.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:17 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - -7) + -3 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*a + 45 = 0, 31*p + 2*a = 30*p + 12. Solve 24 + 46 = -p*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 47, 68, 87, 104, 119?\n\"Answer: -b**2 + 26*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1224675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 + 7*q + 35. Suppose 4*a + 6 = 26, 0 = 3*f - 4*a - 16. Is j(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)\/(0 - (-342)\/168 - 2). Put j, -2, 38 in decreasing order.\nAnswer: 38, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3993)*1 + sqrt(3993))*-5)\/((sqrt(1584) + -2*sqrt(1584) + sqrt(22)\/(1*sqrt(2)))*-4).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12.8 * -188\nAnswer: 2406.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5578425 is divided by 211.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2214? (a) 0.5 (b) 0 (c) 100.7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2 - 54339*t - 488808 = 0. Calculate t.\nAnswer: -18104, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -34. Let q = 60 - x. Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - f**2 - 1 + (1 + 1 + 0)*(-2*f**2 + f**2 + 0*f**2) + 5*f**2 - 8*f**2 - 3*f**2 + (2 + 0 + 0)*(4 - 2*f**2 - 4).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(4\/3)\/i))\/i)\/i)**50 assuming i is positive.\nAnswer: i**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u - u**3 + 4*u**2 - u - 5 + u**2. Let v be 30\/(-18)*(2 + -5). Determine p(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-2) + -1*0\/(-4). Factor -35*a - 13*a + 12*a**3 - 3 - 8*a**2 + m*a**4 - 9 - 20.\nAnswer: 4*(a - 2)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 smaller than -87441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -42055\/11604?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659070149 is divided by 10770?\nAnswer: 10769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 612237*g**3 + 3981473.\nAnswer: 1836711*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 7. Let j = 3218147 + -3218153.0000032. Let d = j - c. Round d to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 718 + -502. Let x = 216.379 - y. Let m = x + -0.091. Round m to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -w, -w + 7 + 0 = y. Find the third derivative of -5*n**6 + 6*n - 5*n - y*n**2 - n wrt n.\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 + 1901*u**3 + 13675*u wrt u.\nAnswer: 12*u**2 + 11406*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*l + 249, 367*f = 4*l + 365*f - 350. Solve 6*y + 110 - l = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10423561639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*z + 4*t, 5*t + 8 = 2*z - 0*z. Let i = 52 + z. Calculate the greatest common factor of 115 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1903806405 to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7852.7239 - 7852. Let z = o - 0.0259. Round z to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let d(r) = 2*r**2 - 7*r + 7. Suppose -2*k - 1 = -7. Let t(w) = w**2 - 2*w + 6 + 3*w - 4*w - k*w. Let h(x) = 6*d(x) - 7*t(x). Give f(h(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 2107463806 to the nearest one million.\nAnswer: 2107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1461*x**3 + 6*x**2 - 6*x**2.\nAnswer: -1461*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wssswswwswwwwsws.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-8)*8\/(-42))\/(2\/57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -44030?\nAnswer: -44022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n + 2. Let q(i) = 5*i**2 - 7*i + 4. Let c = -157 + 160. What is the remainder when a(-6) is divided by q(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35af813 - -3?\nAnswer: 35af816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18585 and 583215.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(105) + (sqrt(105)*1 - sqrt(105)))\/sqrt(5))\/sqrt(7) + -5).\nAnswer: -10 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 106 = -j + 5*a, -2*j - 2*a = -44. Let p be j\/(-36)*(-57)\/(-2). Let w = p + 20. Let l(t) = -10*t**2 + t. Calculate l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1037 times -116.6?\nAnswer: -12.09142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose p - 4*p = -2*x + v, 5*x - 2*p = 10. Let l(g) = 14*g**2 + 14*g**x + 4*g**2. Let z(f) = -2*f**2. Calculate l(z(h)).\nAnswer: 128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84605 (base 13) to base 4.\nAnswer: -322023113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l**3 + 167*l**2 - 5*l + 247. What is c(-13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmwwmwwmmw. What is prob of sequence wwm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 693 divided by 231\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**2 - a - 2 + 2 + (0 + 0 + a)*(-2*a + 0*a - 9*a)*(0 + 0 + 2).\nAnswer: -31*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {m: 4, y: 3, d: 11}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1 (b) -4 (c) 7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 + 1.8. Let h be (-2 - 1)\/(14\/(-5)). Let g = 47\/70 - h. Sort y, 2\/5, g in increasing order.\nAnswer: y, g, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 30. Which is smaller: 13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82317*n**4 - 35*n**2 + 30*n - 7?\nAnswer: 1975608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 75 = -5*l, 0 = 6*l - l + 25. Let n(x) = -x**2 + 18*x - 18. Let u be n(16). Let y = u + d. Solve -k + 2*a = -5*k + 2, y*k + 8 = -4*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1373 + 1393. Calculate the greatest common factor of i and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -155*h**2 + 35. Let w(l) = 13*l**2 - 3. Let q(f) = 3*j(f) + 35*w(f). Let x(n) = -3*n**2. Determine x(q(a)).\nAnswer: -300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -5*p + 127, -6 = 3*a. Let q be 1 + -3 + p\/12. What is the closest to -2 in 0.1, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from wwdwzzwzwd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -1708.\nAnswer: -1708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20651\/5 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*s + 327*s + 217*s - 132*s + 229*s.\nAnswer: 976*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from fffffqvfqfffqqqfffqq?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - 2. Let o(z) = 11*z + 3. Give -5*h(q) - 3*o(q).\nAnswer: -8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5*k - 21 = -p, -4*k + 144 = 4*p. Suppose 5*l + 45*i = p*i + 17973, 2*l - 3*i - 7180 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 40*i**2. Let r(a) = -21838*a. What is r(y(p))?\nAnswer: -873520*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + k + 1253. Let z(p) = 8*p + 32. Let u be z(-4). Suppose u = -3*w + 9, -5*r + 7 + 8 = 5*w. Is s(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 11148 + 13878 = 0 for o.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h - 10. Let z(y) = -4*y - 3. Suppose a + 5 = -15. Let c(n) = a*z(n) + 6*d(n). Let s(k) = -k**2. Give c(s(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 45*m - 10 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 6*n**2 + 5*n - 4. Let l be ((-1)\/7)\/(53\/(-371)). Let v be 5\/4*(33\/11 + l). Calculate w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 121. Solve -5*g = -d + 15, -g - 3*g = 5*d + i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 12. Give z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -7*o. Let d(a) be the first derivative of 4 + o*a - 1\/6*a**3 + 0*a**2. Factor d(n).\nAnswer: -n**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbbwwwwbbw. What is prob of picking 2 b and 1 w?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522 + 815 = 26*o - 0*o - 2*w + 493, 0 = -5*o + 3*w + 352 for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/13 + 166*h**4\/13 - 2188*h**3\/13 + 8620*h**2\/13 - 11350*h\/13 + 4750\/13 = 0.\nAnswer: -95, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1004?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6321456280?\nAnswer: 2, 5, 53, 2981819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 1380558 + 2761580 - 1381022.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 1. Suppose 3*y - 15 = -3*w, d*y - 6*w = -3*w - 8. Solve 4 = 3*g + y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/3? (a) 0.5 (b) -0.4 (c) 0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -966200000 to the nearest 1000000.\nAnswer: -966000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 12 = -5*h, 23*h - 19*h - 3*m = -12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 635, 4, -1, -2 in decreasing order.\nAnswer: 635, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2471519 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*w + 8*a - 19, 0 = -3*w - a + 35. Calculate the greatest common factor of 117 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 11) in base 14?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 15 - (1 - 0 - (0 - 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 35. Let d = b - 7. Suppose -2*s + 1 = -3*s. Sort s, -4, d in decreasing order.\nAnswer: d, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1\/47, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 79*o - 37032545. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 752 = -13*g - 787, 2*g - g - 3*c - 4 = -137 for g.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 115 and -1.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155000 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/96 - x**5\/16 - 5*x**4\/48 - 11*x**2. Factor p(d).\nAnswer: -5*d*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and 175.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/20 - 3*k**3\/10 - 3*k**2\/5 + 78*k. Factor x(l).\nAnswer: -3*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18968608 and 35552.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - 22 - j**2 - j**2 + 2 + 3*j**2 to the form x*j**3 + m*j + f + r*j**2 + o*j**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 19*l + 47. Let q be n(-17). Which is smaller: 15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 8*w**2 - 6*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221868 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -717355, -4 in increasing order.\nAnswer: -717355, -4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77108527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 12. Let g(p) = p**2 + 2*p + 3. Let r be g(n). Determine m, given that -m + 2*m**2 + 0*m**2 - m**2 - r*m**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 (base 4) in base 15?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**15)**8\/(y**(-1\/11)\/(y\/y**(-8\/9))))**(-23\/6) assuming y is positive.\nAnswer: y**(-138874\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 125853 divided by 101\nAnswer: 125853\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 48713*m**2. Let a(t) = -2*t. What is k(a(g))?\nAnswer: 194852*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 58 = 5*i + 5*u, -4*u = i - 26. Let r(m) = -m**3 + 14*m**2 - 38*m - 4. What is r(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23952815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 59. Let h(b) = -420*b + 7. Let i be h(w). What is i rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -37.2757?\nAnswer: 42.2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2502)\/695)\/((-9)\/(-20)*4\/(-6)). Suppose -o + 3*t = 7, -5*t + 11 + 4 = 0. Solve o*w + l = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148024580 to the nearest 100000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*z + 36 = 0, 3*z + 26 = 2*p - 2*z. Suppose -3*f + 16 + 2 = x, f = 5*x - 58. Calculate the lowest common multiple of p and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -60, -111, -188, -291, -420?\n\"Answer: -13*x**2 + 14*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/6*-3 - -2. Let g = t + 3. List the prime factors of 1 - 1*(2 + g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1061052 divided by 3\nAnswer: 353684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 7*v**2 + 7*v - 4. Let t = 6 + -13. Let z(d) = 43 + 7*d + 42 - 79 + d**2. Let f be z(t). Determine w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*o = -7301*o - 516188 - 55993 for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**6*m**2 + 96*a**6*m + 9*a**2 - 4*a*m**2 + 3*m**2 wrt a.\nAnswer: 480*a**3*m**2 + 11520*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0761942 rounded to two dps?\nAnswer: -11.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l)*(l**3 + 0*l**2 + 0*l**2) - 2*l**4 + 0*l**2 + 0*l**2 + (0 + 2*l**2 + 0)*(l**2 - 1 + 1) + 2*l**4 + 2*l**3 - 2*l**3.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9009 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58354 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - 21 - -30 - 112.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15180)\/132 + (41\/1 - 8).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2 - 0) + -3)\/(-1). Suppose v = -3*v + 12. Let t be (3 - 8\/3)*v. Is t < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 1048*x\/7 - 22088\/7.\nAnswer: -2*(x + 22)*(x + 502)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184.00089 - 184. Round h to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u - 2. Let m(r) be the third derivative of -11*r**4\/24 - r**3\/6 - 5922*r**2. Determine -7*g(a) + 6*m(a).\nAnswer: 4*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1\/28. Suppose 3*u - 10 + 4 = 0. Suppose 5*g + t + t = -7, 2*t = -u. Is a >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s - 11. Give h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2 = 2*t, -70*t - m = -75*t - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3681\/14 + 265. Let l = -1133 + 2213\/2. Find the common denominator of v and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -9\/5*i**5 - 1\/2*i**6 - i**3 + 0*i + 4 + 0*i**2 - 9\/4*i**4. Find g, given that r(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.188, 0.142, 5?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + a**3 + 4*a**3 + (2 + 1 - 1)*(-2*a**3 - 6*a + 9*a - a) to the form k*a**2 + p*a + q + f*a**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 6, 23, 58, 117, 206, 331?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(252))*-4*3 - (-1 + (sqrt(252)*1*-5 - sqrt(252) - sqrt(252)) + 2))**2.\nAnswer: 47724*sqrt(7) + 433021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -220114 (base 6) to base 3\nAnswer: -220221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111698599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 o when three letters picked without replacement from hoxegpgxgeeg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*g + 156*g = 40 - 502. Solve g = 48*p + 70 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127, 105, 83, 61, 39?\n\"Answer: -22*m + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -97. Suppose -f*p + 2895 = 9*p. List the prime factors of p.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(495) - sqrt(495)*-5) + sqrt(495))\/sqrt(5) + -5).\nAnswer: -21*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 5*g + 87. Suppose -g = -3*s + 758. What are the prime factors of s?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than 504\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733649214272*s + 2*s**3 - 733649214272*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(60)\/(sqrt(48)\/sqrt(4)))**2 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 1)*(1 + 5*y**2 - 1) - 16*y**2 + 10*y**2 - 12*y**2)*(y + 0*y + 0*y).\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 3*k + 246, -3*d = -4*k - 368. Let l be (2\/6)\/(10\/d). Solve -2*r - l = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoeba. What is prob of picking 1 b, 1 a, 1 e, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y**2 - 6 + 6 + (-38 + 38 + 15*y)*(2*y + y - 2*y) + 0*y**2 + 0*y**2 + y**2 + (2*y + 2 - 2)*(-y + 0*y + 3*y) - 8*y - 3*y**2 + 8*y.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*g - 4, 4*m - 36*g - 12 = -40*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*v + 9*v. Let x(a) = -a**2 + 8*a - 10. Let z be x(v). Let u(t) be the first derivative of -3*t**2\/2 + 7*t - 151. Calculate u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2 + 10 - 8 - 4*i**2 - 6*i. Let s(z) = -z. Let g(t) = 6*s(t) - u(t). Determine g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1909 (base 14) to base 10\nAnswer: -4517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 41 = -10*r. Suppose -34 = -2*q + 5*s, -3*q - s + r = -6*s. Suppose -13 = p - q. Let u(g) = -g**3 - 5*g**2 + 6*g - 1. What is u(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -9. Suppose 6 = -3*r + 72. Calculate the least common multiple of r and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.95 - -2.01. What is the nearest to l in -0.4, -3\/4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29039.21nm?\nAnswer: 29.03921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(6*i**3 - 5*i**3 + 7*i**3) + (1 - 2*i**2 - 1)*(-193*i - 33*i - 202*i) to the form m*i**3 + d*i**2 + f + p*i and give m.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67162867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cca46d - 3?\nAnswer: cca46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 15*x + 26*x as a + u*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**5\/120 - 5*q**4\/24 + 20*q**3\/3 + 3. Let a(b) be the third derivative of x(b). Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*m = 4106, 0 = 2*d - 2*m - 5389 + 1283. What is the remainder when d is divided by 77?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 56275863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 679 and 1067.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -19\/2 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 13 - 1 + 15 - 13)*(19 - 19 + 24*q).\nAnswer: 696*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2364 divided by 1.\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 11*s + 20 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 4. Let k(i) = -5*i + 3. Let o(h) = 6*k(h) + 5*v(h). What is the remainder when 36 is divided by o(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 10*x**2 - 10*x - 5. Let f be ((-55)\/45)\/(7\/(-63)). Give l(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, -4, 19, 0, 12 in increasing order.\nAnswer: -145, -4, 0, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248157*t - 61339?\nAnswer: -248157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/5 of a meter?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2504841858?\nAnswer: 2, 3, 19, 307, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose 0 = -h - n, -3*b - h + 61 = -b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 - 690*h**3 + 10080*h**2 - 40800*h + 46848 = 0 for h.\nAnswer: -244, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 73*v**2 - 13*v - 2. Let u be d(6). Differentiate 4 + 10 - u*w + 2463*w with respect to w.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 9. Let h(d) = d**2 + 4*d - 18. Determine 6*h(l) - 13*q(l).\nAnswer: 6*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.24 from -284.\nAnswer: -283.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -531\/308 + 117\/28. What is the common denominator of -119\/6 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 255, 0.2, 26\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, -3 in descending order.\nAnswer: 3, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39135 by 24.\nAnswer: -13045\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c**3 - 3*c)*((-4*c - 2*c**2 + 4*c)*(2 - 2 + 2) + 2 - 2 + c**2 - 2*c**2 - c + c).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 31*w**2. Let y = 7505 - 7505. Let d(x) be the third derivative of 0*x**3 - 1\/60*x**5 + 0*x + 10*x**2 + y + 0*x**4. Give d(u(l)).\nAnswer: -961*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8723*c**2 - 1698*c + 71. Let h(q) = -13085*q**2 + 2548*q - 114. Let k(x) = -5*h(x) - 8*v(x). What is the second derivative of k(z) wrt z?\nAnswer: -8718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30583477.\nAnswer: 30583477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*x - 252*x + 2*x**2 - 327*x as f + o*x + s*x**2 and give o.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.55 - 1.25. Let o = 0.8 + h. Let d = -204 - -203.8. Sort 0.11, 0, d, o in decreasing order.\nAnswer: 0.11, o, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 21*d + 18. Let k be t(-17). Calculate the remainder when 107 is divided by 5\/(k\/(-8))*15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3145 = 5*y + k, -2*y + 618 = -y - 2*k. Suppose y = 2*c - 1326. Let p = -490 + c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 15) in base 6?\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) - 3*(-171)\/189. Suppose 2*b - 73 = -j*w + 116, 3*b - 4*w = 275. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 5 + 39. Suppose y*f = -11*f + 135. Let v = f - 6. Solve -v*l + 10 = -8*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckccavqcca. Give prob of sequence cq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a hour in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, z: 1, k: 2}. What is prob of sequence zb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12386.7 * 1.596\nAnswer: 19769.1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -111*f**3 + 2*f**2 + f. What is s(-1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 198959 * 5.37\nAnswer: 1068409.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-93 + (28 - -13) - -38) + 44\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p. Suppose 0*t + 33 = 11*t. Let m(b) = -3*b + 6*b - t*b - 2*b. Give m(f(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1323786209 to the nearest integer?\nAnswer: 36384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/28, -0.3 in increasing order.\nAnswer: -0.3, -5\/28, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g - 35. Let n(h) = 3*h + 23. Let i be n(g). Suppose -9*v + i*v = -315. Calculate the remainder when 88 is divided by v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(99) + sqrt(99) + sqrt(99) - sqrt(99))*1 - ((sqrt(99) - (1*sqrt(99) + sqrt(99))) + sqrt(99) + sqrt(99) - sqrt(99))*-3)\/(4*sqrt(441)*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*a = -20, 9 = -3*n - 2*a - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2499*k - m - 15 = 2496*k, -11*k + 25*k + 4*m = -25*k + 246 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107, -112, -127, -158, -211, -292?\n\"Answer: -i**3 + i**2 - i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 17*y**2 - 34*y - 10. Let a be l(19). Suppose a*c - 76*c = 100800000. What is c rounded to the nearest 100000?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*a + 593, 4*a = 2*r + 426 - 28. Let b = r + 314. Calculate the remainder when b is divided by 19 - (4\/3)\/(6\/9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*n + 11, 2*m + 2*n + 0*n = 2. Let r = -3 - -1. Which is the nearest to 0.1? (a) m (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w + 101 = -137 - 477 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {y: 7, u: 5, r: 8}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -115a (base 13) to base 5\nAnswer: -34231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-126)*-4*15\/(-50)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6697577ml?\nAnswer: 0.0006697577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-21)*-5*(-15)\/175.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -11. Sort 5, s, -1 in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4039205 and 11?\nAnswer: 44431255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26976.93 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 12:58 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7908?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 762 and 16383?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -49*c + 67*c + 108 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-3) + 3)*6. Suppose w*h - 440 = -84. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.06, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92029893 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*v - 460, i - 7*v - 121 = -2*v. Suppose -2*o - 16 = -i. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -165. Suppose 0 = -2*u + 2 + 8. Which is the second smallest value? (a) d (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**8\/3360 - g**7\/560 + g**6\/720 + g**5\/80 - g**4\/24 - g**3 + 6*g**2. Let d(y) be the first derivative of a(y). Factor d(p).\nAnswer: (p - 2)*(p - 1)**2*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 - 2*s**2 - 2. Let f(v) = -5*v**3 + 3*v**2 + 3. Let d(b) = b**2 - 88*b - 772. Let c be d(-8). Calculate c*f(h) - 6*q(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 - c**2 - 2*c - 1. Let f be s(-1). Solve -f = -4*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -9*g - 4. Let k = g - 6. Let b be 106997 + (-4 - k) + -1. What is b rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2))*u)**48 assuming u is positive.\nAnswer: u**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:31 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + (sqrt(187) - (sqrt(187) - 2*1*sqrt(187)))))\/sqrt(11) + -3*sqrt(68)\/sqrt(4)*1.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, w: 2, n: 1, g: 4}. Give prob of picking 1 p and 1 w.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 516, 1256, 2314, 3684, 5360, 7336, 9606?\nAnswer: 12164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 1. Let i(u) = -u**2 - 1. Suppose 4*n = -2*k + 18, 10 = 52*k - 54*k + 3*n. Determine k*i(l) + r(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000136374321 rounded to 6 dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)*(t\/(t**2*t)*t)\/t)**(-48) assuming t is positive.\nAnswer: t**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:12 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a199 + a?\nAnswer: -8a18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 18\/492361 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308) + 1*sqrt(308)*-5 - (sqrt(308)*-2*-4 + sqrt(308)))\/(sqrt(88)\/(sqrt(8) + 6*sqrt(72))).\nAnswer: -494*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 25*c**2 - 40*c - 386. Let d be p(-24). Which is greater: d or -21\/19?\nAnswer: -21\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 18 = -7. Suppose 5*c + g*l - 4*l - 102 = 0, -3*c + 48 = 5*l. Calculate the greatest common factor of c and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 225\/(-6))*10\/(-3). Calculate the greatest common divisor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 2*b + 1. Let d(c) = -2*c**2 + 14*c + 7. Let z(y) = 2*d(y) - 14*l(y). Let m(w) = -18*w. Calculate z(m(n)).\nAnswer: 3240*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 7. Let k be m(-4). Suppose k + 19 = 5*n - 2*a, 2*n + 2*a = 0. Let i(v) = 2*v**2 + n*v + v + 0*v + 2 - 3*v. Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49 + 1580260?\nAnswer: 1580309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571888 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 2213343?\nAnswer: -2213342.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -30*f**3 + 32*f. Let a(t) = 33*t**3 - 37*t. Give -3*a(l) - 4*o(l).\nAnswer: 21*l**3 - 17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 199689\/666 - (2 - 13\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*m = i + 250, 0 = -4*i + 2*m + 1042. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 + 5*w**2 + 2*w + 1. Let s(p) = -p**3 - p**2 + p - 1. Let i(k) = a(k) + 4*s(k). Let t be i(4). Let l = 43 + t. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556986.4 weeks in milliseconds?\nAnswer: 336865374720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 962*a**2\/5 - 56604*a\/5.\nAnswer: 2*a*(a - 53)*(a + 534)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/20 and 77\/7438818?\nAnswer: 74388180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 464, 1726, 4214, 8336, 14500, 23114, 34586?\nAnswer: 49324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1268093167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1129, 1126, 1121, 1114, 1105, 1094?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8391.867 to the nearest integer.\nAnswer: 8392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 257947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12*(-591)\/(-985)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -38. Calculate the highest common divisor of o and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1 + (-10)\/(-2). Let h be ((-36)\/42)\/(4\/(-14)). Suppose n + x*n + 65 = 5*a, 0 = h*a - 2*n - 42. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2479*o**2 - 9*o + 815. Let w(y) = -7*y**2 - 3*y + 2. Let v(l) = -3*w(l) + z(l). What is the derivative of v(b) wrt b?\nAnswer: 5000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 + (-4)\/(-16). Let t be ((-2)\/(-6))\/(1\/9). Let p(j) = -j**3 - 6*j**2 + 8*j + 7. Let d be p(-7). Solve t*z + d*z = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 47. Suppose -h*m = -3*i + 8*i, 2*i = 4*m - 6. Which is smaller: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -0.2. Let i = -2 - j. Let v = -0.045 + 0.345. Which is the closest to -0.2? (a) -6\/5 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(100) - sqrt(100))\/sqrt(4) - ((sqrt(25) + sqrt(100))*-4 - sqrt(25)))\/((3*sqrt(125) - sqrt(125) - sqrt(125))*4).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -1\/6*k**4 + 2 + 0*k**2 + 26*k + 0*k**3. Let r(v) = v**2 - 34*v. What is r(h(n))?\nAnswer: 4*n**4 + 68*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-44))\/(108\/24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15132 - 363223\/24. Find the common denominator of -119\/96 and q.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 + 4*i**2. Let r(o) = -4*o. Calculate b(r(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 465336*t**3 - 2*t**2 + 2*t + 301478?\nAnswer: 2792016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.48 and 0.2?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -256156772 and -2.\nAnswer: 512313544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 27790 + 260504 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - 8*w + 60. Let y be d(-22). Let s = -483 - y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 599)\/1 + 0\/(-11). Let k = 876 - s. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4830335097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 27*s + 1. Let l be 2\/(-3)*(-9)\/6. Let t be y(l). Suppose 2*z - 124 = -t. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 5.2, -0.2, -3 in increasing order.\nAnswer: -3, -0.7, -0.2, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -42*p - 924. Let y be z(-22). Solve 0*o - 8\/17*o**2 - 6\/17*o**5 - 24\/17*o**3 + y - 22\/17*o**4 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 7. Let n = -32 + 19. Let x be z(n). Let m be (-28)\/x - 18\/27. Solve 4*u + 1 + 2 = s, m*s + 28 = -4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504660.8 hours in microseconds?\nAnswer: 1816778880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 3684.\nAnswer: 33156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = -r + 2*r, 5*m - 1 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x + x)*(2 - 6 + 10)*(6 - 3 - 1)*(3*x**4 + 27*x**2 - 6*x**4 - 24*x**2).\nAnswer: 72*x**5 - 72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5746245 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 154 - 160 = 0. Let i(o) = 4*o**2 - 5*o. Determine i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44693, 89389, 134075, 178745, 223393?\n\"Answer: -i**3 + i**2 + 44700*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/974748 and 46\/204473.\nAnswer: 71156604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -179. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 178*k + 1893. Determine s(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 16) in base 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133761411 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 15. What is t(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 36865*b - 3636500 = 0. What is b?\nAnswer: 100, 7273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, h: 2, r: 2, y: 1, x: 2, u: 1}. What is prob of sequence xrr?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -2 (c) 0.2 (d) -3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 3*t**2 - t**2 + (5 - 2 - 1)*(1 + t - 1)*(t + 3 - 3).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (3 - (13 + -9)) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000188022 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - 6*f + 6. Let z(h) = -5*h**3 + h**2. Let i be 0 + (-5 - (-1 - 3)). Let w be z(i). Let c(y) = 6*y**3 + 5*y - 5. Give w*c(j) + 5*k(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/130*1*(-7)\/((-112)\/40).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33276781\/12 - -2775383. Let m = w - 2311. Calculate the common denominator of m and -81\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(2\/5))\/t*t)\/t)**3\/(t*t**(-1\/2)*(t*(t\/t**4)\/t*t)\/t) assuming t is positive.\nAnswer: t**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 791966.\nAnswer: 45142062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7316641 - -2.9.\nAnswer: 7316643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z**2 - 326*z + 27. What is q(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*r + 180. Suppose 0 = -8*o + 13*o - r. Solve j - o = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11588*d*y**2*z**3 + 2*d*y**2*z**2 + 30*d*y + 6*y**2*z**3 + 13*y**2*z + 4*z**3 + 5*z**2 wrt z?\nAnswer: -69528*d*y**2 + 36*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/18)\/10)\/(2\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4 = 2*p, 4*y + 9*p - 4*p = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 42 + 10*r + 42 - 84 - 13*r. Let g(h) be the first derivative of 7*h**2\/2 + 2*h - 1. What is m(g(c))?\nAnswer: -21*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9027 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 0*o - o**2 - 625*o**2 + 229*o**2 + 485*o - 485*o + (4*o + o - 2*o)*(2*o + 0*o - 3*o) to the form u + a*o + h*o**2 and give h.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -677\/6 + 112. Let y = -94 - -93. What is the smallest value in y, 4, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9578984 litres?\nAnswer: 957.8984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 18}. Give prob of sequence eehe.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*n - 36 = -26, -3*n = 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 169614704.7 microseconds?\nAnswer: 0.00028044759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 53. Let n be j(24). Let a be 22\/3*-2*n*3. What is the highest common divisor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqcfe. What is prob of picking 1 e and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 28. Let o = 20 + l. Suppose -o*a + 8*a - 4 = 0. What is the biggest value in 1, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*s + 8*s + s + 6*s + (3 - 3 - 2)*(2*s + 2 - 2))*(s - s + 5*s)*(-s + 3*s + 0*s).\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2793142 and -61\/2666181.\nAnswer: 58655982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -15. Let c be (2 + o\/(-4))\/(-1). Solve c = -3*n + 5*x - 6, -x + 3 = n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.14, -12, 3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854480583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205 - 3*i + 72 + 76 + 57.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/2)*g*g**1*g*g**2*(g*g**(-2\/7))\/g assuming g is positive.\nAnswer: g**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 20907*n + 584633. Determine m(-28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1164 by -4.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4031 + -1081. Round i to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2. Let r(d) = -7*d + 5. Let l(k) = 4*k - 3. Suppose -3*i + 3*z = 7*z - 11, 5*i - z = 26. Let v(w) = i*l(w) + 3*r(w). Determine f(v(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14 - 10\/12)*-12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502.3 + -0.5?\nAnswer: -502.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1747340 and 40?\nAnswer: 3494680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/9)*w)**1*(w*w**(-4)\/w*w)\/w*w*w**(-3\/4)*w*w assuming w is positive.\nAnswer: w**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4586 less than -32138?\nAnswer: -32145.4586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8823670 rounded to the nearest ten thousand?\nAnswer: 8820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.4 (b) 22 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 66.3?\nAnswer: -26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 74. Let i be (156\/(-4))\/((-3)\/l). Suppose -5*g + i = -2*n, 2*g + n - 8 = 4. Solve -2*p + 6*p = -5*w + 2, -g = -p + 2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*q - 3 = -15, -2*q + 6 = x. Let g(o) be the third derivative of 1\/60*o**5 + 0*o - 3*o**2 - 1\/6*o**3 - 1\/30*o**6 + x + 1\/6*o**4. Factor g(c).\nAnswer: -(c - 1)*(c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4983 - 4983 + 569*d**3.\nAnswer: 569*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.056 (b) -3 (c) 0.5 (d) 2\/7 (e) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.102 + -453.898. Let t = -454.6579 - v. Let y = t + -0.34. Round y to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 21795 + 42939. Let b = -7641 - t. Suppose -4*a + b = -1456. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2. Let s(v) = -5*v**2 + 5*v - 14. Determine s(d(u)).\nAnswer: -45*u**4 + 15*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -3*j + 100. Sort -4, 1, j, 3 in decreasing order.\nAnswer: j, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 34*w**2 - 53*w + 18. Calculate h(35).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982 divided by -142?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*m - 5*p - 6 = 363*m, -5*m + 15 = -2*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 + -1.1. Let r = k + 2. Let x = 1.071 + -0.071. Which is the third biggest value? (a) x (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 10*t**2 - 12*t + 10. Let o be d(8). Suppose 7*g + o = 196. Suppose 10 = 5*l, 2*l - 2 - g = -y. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*(sqrt(88) - (sqrt(88) + sqrt(88)*2 + sqrt(88)) - sqrt(88))*4)\/(2*sqrt(72)*4))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a factor of 815442992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l**2 + 2*l + l + 36*l**2.\nAnswer: -15*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 14152638*b - 50074290589761.\nAnswer: -(b + 7076319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 6:58 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 2*d + d)*(3 - 2 - 3) + (4 + 2*d - 4)*(1 - 1 + 2) + 0*d - d + 0*d + (0 - 189 - 41)*(-d - 3*d + 2*d) as t*d + q and give t.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/234*116\/(-2). Let g = -25\/13 - l. Suppose 5*y + 26 = -4*t, -4*y + t + 12 = -4*t. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 0.05494979\nAnswer: 0.76929706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -2*n - 0*n - 2*x - 44, -13*n + 544 - 380 = 4*x for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*m + 54. Suppose -3 = -3*v + x, m*x + 5 = v - 4. Solve v = -0*t - 5*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 6*l + 5. Let u be n(5). Suppose -2*c = 5*s - 3 - u, -18 = -2*s - 5*c. Is 4\/9 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.5 + 26.1. What is the smallest value in 82.7, -0.1, -2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 4:17 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hooqauuoaou. What is prob of sequence ah?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36209 - -40645. What is the remainder when z is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278332 by 69583.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383215223 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-1\/2))**(1\/5)*z**(-2)*z*z**(2\/5))**5 assuming z is positive.\nAnswer: 1\/sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29*s - 72. Let h be f(-3). Suppose -44 + 14 = -h*w. Solve w*k = 4 + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a - 3*d - 28, 2*a + 3*d + 10 = 0. Let u be (18\/4)\/(a\/2). Let i = 2311 - 2266. Calculate the highest common divisor of i and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4\/2 - 577411*f**3 + 11086667*f**2\/2 - 9816416*f - 4850454 = 0.\nAnswer: -230974, -2\/5, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -ab916 (base 12) to base 9\nAnswer: -376280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -480906700 to the nearest one million.\nAnswer: -481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*i + 259*i + 7*i**2 + 27 + 265*i - 766*i.\nAnswer: 7*i**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 475 = -8*l. Let a = 36 - 90. Let w = a + l. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/4 + 1)*4. Let z(i) be the second derivative of i**5\/40 + i**4\/12 - 2*i**3\/3 + 2*i. Let x(j) be the second derivative of z(j). Give x(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 4 (b) 7 (c) -5.33 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1292.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1946 and -62\/77.\nAnswer: 21406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + 10302110?\nAnswer: 10301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*m**4 + 2*m**3 - 357.\nAnswer: 100*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/5 - 19*g**4 + 803*g**3 + 26851*g**2 - 436254*g\/5 = 0. Calculate g.\nAnswer: -119, -26, 0, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 60 + 285. Suppose -29*p = -36*p + 105. Suppose p = 29*r - 26*r. Calculate the greatest common factor of r and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 12 = 0, 2*u + 31 + 1 = 4*x. Calculate the smallest common multiple of (2\/4)\/((-2)\/u) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppdppddpppppp. Give prob of sequence pd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 679893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let z(v) = v**2 + 4*v + 3. Let b be z(-3). Solve b - y = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -8, 1.\nAnswer: -8, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:39 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -134185 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {d: 3, i: 6, f: 3, j: 3, k: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1993.161 nanometers?\nAnswer: 0.000001993161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/24 and 53\/414220.\nAnswer: 2485320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 7*h + 117. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*f + 476 - 5786 = 0, 0 = -5*i - 2*f - 6615. Calculate the common denominator of i\/60 + (-1)\/(-3) and 85\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvtp when four letters picked without replacement from {v: 5, t: 1, y: 1, d: 7, p: 2}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 5*t**3 - 5*t**3)*(-8*t - 5*t + 4*t) + (-4*t**2 + 4*t**2 + t**2)*(-3*t**2 + t**2 + 4*t**2) + 2*t**4 + 0*t**4 - 6*t**4.\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 4*u - 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 11*q**2 - 16*q**2 - 15*q**2 - q.\nAnswer: -20*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.5 (c) 7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49 + -52 - (-82)\/30. Let c = 7\/15 + i. What is the nearest to 1 in 4\/5, -5\/6, c?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221 (base 3) in base 6?\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/3 - 38*h**4\/3 - 71*h**3 + 992*h**2\/3 + 5068*h\/3 - 3920 = 0.\nAnswer: -30, -7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 3255?\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gdgdddddddddgddddd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-6)\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60881.33 - 82260804?\nAnswer: -82199922.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 495*b*f**2 - 1299*b*f*j**2 + 158*f**2*j**2 - 9*f**2*j - f*j**2 + 77*f*j wrt b.\nAnswer: 495*f**2 - 1299*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 975 and 2925.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34910977, 34910981, 34910985?\nAnswer: 34910989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 447252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, v: 2, r: 6, e: 2}. Give prob of picking 1 v and 1 c.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 468 - 464. Solve -f*d + 3*d + 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001461939583 rounded to six decimal places?\nAnswer: 0.001462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/3 + 5*a**3\/6 + 7*a**2. Let r(y) = -7*y - 4. Determine 5*l(s) + 6*r(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5340678 divided by 3777.\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121 - -101?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1144 and -11\/3216704?\nAnswer: 459988672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8*x - 858 = 0. Suppose -7*n - x = -20*n. What is the least common multiple of 57 and n?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30079392 by 18431.\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 1. Let a be p(1). Let w(r) = r**2 - r - 4. Let h be w(3). Calculate the highest common factor of a and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/8 - -5\/8. Let g = -0.25 + 0.05. Let k = 1.634 + -0.634. Which is the nearest to k? (a) g (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 10*w + 17. Calculate p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/99 (b) -1 (c) -3 (d) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 2*m + 533. Calculate p(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 - 10 + 5*c**3 - 3*c**2 + 0*c**2 + 9*c - 4*c**3. List the prime factors of u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29983549.\nAnswer: 29983549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 3*w**2 + 4*w - 4. Let l(g) = g - 1. Calculate -4*l(f) + y(f).\nAnswer: -2*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263140 - 450462 = -2949*s - 10589*s + 220520 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905\/22*(5 - 1).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + 4*z + 4. Let t be g(-2). Suppose -50 = 6*o - t. Sort 2, o, 56 in increasing order.\nAnswer: o, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6794 - 6750.21. Let r = u + -43. Let b = r + -0.78922. What is b rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/4, 7092\/1537?\nAnswer: 7092\/1537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 plus -353995.1?\nAnswer: -353996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/g**(-11\/3)))\/g**8)\/((g\/(((g\/(g**(-3\/14)*g))\/g)\/g))\/(g**13\/g*g)))**(-39))**(2\/161) assuming g is positive.\nAnswer: g**(793\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/295, 2, -0.03, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 3. Let b be l(-3). Suppose 5*h = -b*y + 51, 0 = y + 3*h - 7 - 14. What is the highest common factor of y and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)\/(0 + 1). Suppose -2*p - 187 = -3*d, u = -0*p + 2*p + 4. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5375 - -3.33. Let a = -4.8 + k. Round a to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14670 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*1530.\nAnswer: 91800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 2:11 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.8 + 17. Let m = f - 2.2. Put -4, -0.2, m in ascending order.\nAnswer: -4, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/2, 0.02, -2\/3, 2 in ascending order.\nAnswer: -2\/3, 0.02, 2, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9b8 (base 14) to base 7\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {d: 4, n: 7, e: 3, f: 4}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254 - -298 - (0 - (-10 + 66)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**2 + 26*r + 69. List the prime factors of h(-9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 2:45 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s + 33*s - 1208070 = 5*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*z**4 - 120*z**4 - 267*z**4 + 3 - 2*z**4 - 3 - z**2 + z**2 - z**4 + (-z**2 + 0*z**2 + 0*z**2)*(-2*z**2 + 2*z**2 + 2*z**2).\nAnswer: -359*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a = -0*a. Solve 2*h + 6 = a, 0 = -5*l + 3*l + 4*h + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-18)\/(t**(1\/7)\/t))\/(t**(-5\/4)*t)**44)**(11\/8) assuming t is positive.\nAnswer: t**(-473\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 737892.2mg in grams?\nAnswer: 737.8922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l - 2. Suppose -4*v + n + 11 = 0, -v - n - 1 = -5*n. Sort 1, v, l in descending order.\nAnswer: v, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 8 - (-4 - -13 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 125 in -1955, -1\/5, -5, 3, -4, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 168?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2044 - -2044. Solve -4*d - 24 = -4*l - a*d, 0 = 3*l + 3*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4832283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 13. Let l = 16 + s. Let a(w) = 6*w - 5. Is a(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -26*k**3 - 6*k**2 - 9*k - 12. Let m(w) = -8*w**3 - 2*w**2 - 3*w - 4. Calculate -7*m(r) + 2*y(r).\nAnswer: 4*r**3 + 2*r**2 + 3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -i + 5, 4*i - i = u - 13. What is the second derivative of -m**4 - 4*m**u + 8*m**4 - 6*m - m**4 wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-69)\/(-2760)*(-555)\/6 and 97\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 30452*k - 2277. Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*k - 11, -4*k + 12 = -0*s - 4*s. Suppose 0*l + 4 = k*l. Suppose l*a - 98 = 52. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210 - 206. Let y be (-528)\/(-54) + -5 + n\/18. Suppose h - 2 = -5*v - 7, -2*h + 4*v + 18 = 0. Solve -5*q = -3*i - 14, 3 = -h*i + y*q - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 9*b + 10. Let q(s) = -12*s**2 + 40*s - 39. Calculate -2*q(m) - 9*v(m).\nAnswer: -3*m**2 + m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -420, 11, 5 in decreasing order.\nAnswer: 11, 5, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 + 3*c. Let a(k) = k**2. Suppose -70 = 40*v - 230. Suppose -2*u + 3*m + 1 = 0, v*u - 2*m = -0*m - 2. What is u*g(l) - 3*a(l)?\nAnswer: 2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3833, -23, -56.\nAnswer: -3833, -56, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123008, -122611, -122214, -121817, -121420?\nAnswer: -121023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 9, t: 2, e: 5, h: 1, b: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15143, -15136, -15127, -15116, -15103, -15088, -15071?\nAnswer: -15052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1418.1 or 29810?\nAnswer: -1418.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 139508105729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 28. Suppose -s + 5*a + c = 0, -2*s = 4*a - 33 - 51. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2370 and 1896.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x + 335. Let v be p(17). What is the greatest common divisor of v and 2432?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = g, 3*g + 3 = -0*b - 3*b. Let w = b - -162. Calculate the greatest common factor of 23 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*n**4 + 2*n**3 + 16*n**2 - 423*n - 3946483 wrt n?\nAnswer: 76*n**3 + 6*n**2 + 32*n - 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/12 + d**3 - 2*d**2 - 15*d. Give r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59.4 from -1547.1495.\nAnswer: -1487.7495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 117249367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292089961 and 4463.\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 5.41\nAnswer: 8.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*n - 4*n + 67, -3*y = -n + 33. What is the smallest common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4821164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose h*g - 2*t = -3*t + 19, 5*g + 2*t = 32. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/409 (b) 142 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1695270, -3390545, -5085820, -6781095?\n\"Answer: -1695275*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*-1*(-89)\/(-89).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2931*j**3 - j**2 - 899 wrt j.\nAnswer: -17586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*w = -113*w - 6877. Is 41 a factor of 4 - 0\/8 - w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 6*p**2 - 27*p + 19. List the prime factors of z(7).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 1008227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 1)*-3 - ((sqrt(75) + sqrt(75) + sqrt(75)*1 + sqrt(75) - sqrt(75))**2 + 2))*-6 + 4*((sqrt(75) + sqrt(75) + 0 + -5)*-4)**2.\nAnswer: -6310*sqrt(3) + 24880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, -48, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = 4. Solve d = m*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.007 - 0.007. Let n = -1189 + 1190. What is the closest to w in -5, 2\/19, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 4, 18, -5 in decreasing order.\nAnswer: 18, 4, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192)*1 + 1*sqrt(192)*-5)\/((sqrt(36)\/sqrt(3)*-5)\/(sqrt(12)\/(-1*sqrt(4)))).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 18*f**2 + 74*f + 139. Let k be c(-2). Solve 0*q = -k*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/14 + 129\/161?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4 = -2*c, -2*c = -4*d - 0*c - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Suppose 3*g - 5*g + 5*t + 11 = 0, -4*g + 11 = t. Which is the closest to u? (a) 0 (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37885 at most as big as -37881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/27)\/((-166)\/1245*(-3)\/((-9)\/(-105)))?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (1 + 2))\/2. Let x be 1 - (-1 + 6)\/f. Suppose -2*u - 6 = -2*q, 2*q - 8 = -2*u + x. What is the lowest common multiple of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**2 + 2*x + 13. What is the tens digit of b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -448, 0.2, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*7*1220\/1220?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/89752 and 48\/91?\nAnswer: 628264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.1 (c) -4\/1113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/6 + (-434)\/(-84).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) -3 (b) -1 (c) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**3 + i**2 + 2*i. Let x(s) = -8*s**3 + 2*s**2 + 3*s + 1. Let w(n) = -3*v(n) + 2*x(n). Let t(a) = -2*a**2 - a - 1. Let r be t(-1). Give w(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 11\/15*j**3 - 20 - 3\/4*j**4 + 0*j**2 - 1\/150*j**6 - 6*j + 6\/25*j**5. Factor i(k).\nAnswer: -k*(k - 22)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-10))\/((-1)\/(-5)). Let m = 5 + y. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2\/3, -1, 4.\nAnswer: -52, -1, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31677 + -29578. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 0.083 (b) 16\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (777\/(-84))\/(2\/(-8)). Let s = 688 - 355. What is the highest common divisor of s and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-98) + (-355)\/(-35). Suppose 0 = -3*n, 4*b + i*n = 11*n + 1080. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w. Let u(v) = -9*v**2 + 9. Let f(k) = -4*k**2 + 5. Let j(p) = -7*f(p) + 3*u(p). Let m(c) be the first derivative of j(c). Determine m(h(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11292*y + 11240*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*a - 736 - 666 = 2195 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 + 173. What is the remainder when 60 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.387 + -0.38195. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10 + 0 + y - 5*y. Suppose -3 = 2*k + 3. Let q = 374 + -384. Let v(t) = t - 3. Determine k*c(p) + q*v(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843389.\nAnswer: 53, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 5*u - 2. Let s be m(3). Suppose -3*c + q = -s*q + 13, -5*q + 37 = 3*c. Suppose -52 - c = -4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000849563 rounded to 6 dps?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -10*f + 57. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -46. Let z be (-25)\/2*-2 + (w - -12). Let x be ((-78)\/(-5))\/(4\/10). What is the greatest common factor of x and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 3988*q - 52532. Calculate b(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 32*u + 166. Determine y(-11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:06 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 151. Let l be 1\/(-5) - p\/(-25). Which is smaller: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 16) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 8 = -110*j + 106*j, 46*j - 5*v = 118 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44830 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -3*u**4\/8 + 9*u**2 + u. Let y(p) = 6*p**2 - 8. Let l(c) = -1. Let i(x) = -8*l(x) + y(x). What is r(i(o))?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/47 + -86\/705. Let t = -122.5 + 153. Let c = t - 31. What is the nearest to 1 in j, -5, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/13)\/c)\/c**(3\/2) assuming c is positive.\nAnswer: c**(-35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 27*p**4\/4 - p**3\/3 + 487*p**2\/2 - 332. Find the second derivative of j(g) wrt g.\nAnswer: 162*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -7, a - 43 = -2*o. Suppose p - 5*t = 45, a = -2*p - 4*t + 159. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h**2 - 4*h + h + 4*h + 972*h**3 - 6 - 21*h**2.\nAnswer: 972*h**3 - 56*h**2 + h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clllncl. Give prob of sequence cl.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25124 (b) 6 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -3.82\nAnswer: -11.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-664)\/(2 - -2))\/(-2). Let b = h + -80. Suppose 4*k - 655 = i, -b*k - i = -5*i - 501. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*z + 16 = 285*z. Let u(h) = -h**3 + 2*h + 2. Let i(s) = 6*s**3 - 10*s - 10. What is z*u(y) - 3*i(y)?\nAnswer: -2*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 30 = 4*f. Suppose -3 + 8 = -u, -u - 15 = -2*q. Suppose 2*j - 3*j + 5 = 5*g, 0 = 5*j - 2*g + 2. Solve q*t + 45 = 4*k, t - k + j = -f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 89*n**2 - 4*n - 17. Suppose 2*k = -32 + 12. Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5221.5 centuries?\nAnswer: 522150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 4, k: 3}. Give prob of sequence rgr.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**17*d)\/d)\/d*d**14)**(-41) assuming d is positive.\nAnswer: d**(-1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**3\/6 + 5629845*c**2 - c. Let z be m(0). Suppose 2*o = -1859690 + z. What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*a - 20 - 2, -2*l + 4*a = 32. Let v be -3*1\/l*0. Suppose q = -v*q + 11. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 7)*(-a + 6*a + 7*a) to p + z*a and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1 + -70 + 19. Let q(z) = -18*z**2 - 72*z - 28. Let c(b) = 2*b**2 + 8*b + 3. Let k = -7 + 1. Let o(p) = j*c(p) + k*q(p). Factor o(l).\nAnswer: 4*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuu. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76772 >= 76771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -1\/4 (b) 6\/97 (c) -0.2 (d) 0.08 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 29*h**3 - 8*h**2 - 4*h + 26. Does 11 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41\/12 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 27 + 8 + -9. Let g be (-1)\/(-5) + z\/15. Find the third derivative of -3*u**3 + 5*u**g + 3*u**3 + 8*u**3 - u**2 wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -22, -35, -44, -49?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 13 + 7 = -5*l, -3*j - 15 = 0. Solve 0 = 2*x - 2 - l, -4*c + 25 = 5*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4 - (9 + -11))*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 617*q**2 - 4*q + 0 + 2*q + 2 - 616*q**2. Let v(k) = 15*k**2 - 33*k + 33. What is 66*h(j) - 4*v(j)?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4\/2 + 27225*u**3\/2 - 491511*u**2\/2 - 4447377*u\/2 - 4091850 = 0.\nAnswer: -9093, -4, -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/5 + 2)\/((-5396)\/(-710)). Let -2\/19*d + 0 + r*d**2 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose v = y, -3*v + 6*v - y = -o. Which is smaller: 1\/34 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20887 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002538 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 >= 674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:06 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k - 144*k = -75 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -33211, -337 in increasing order.\nAnswer: -33211, -337, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3812, -7434, -11052, -14666, -18276?\n\"Answer: 2*l**2 - 3628*l - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -62?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2 - 2*y + y + 0. Let g = 97 - 152. Let t = 51 + g. What is u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y + 120. Let x be d(10). Let n = -1 + 11. What is the greatest common factor of x and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708 divided by -5?\nAnswer: 708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-6*(3887\/(-1014))\/(2\/6).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0200264 rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3129)\/8195 - (-2)\/11\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -35*d**2 + 4*d - 1. Let c be n(3). Let j = c + -1773. Let v = j - -22888\/11. Calculate the common denominator of v and 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - q = -10, 16 - 2 = y - q. Let g be ((-117)\/y)\/13*-4. Solve 0*j + 2 = -g*t - j, 4*t = 4*j + 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, s: 2, l: 1, h: 1, u: 3, d: 2}. What is prob of sequence ww?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 6 (b) -0.07 (c) 0.2 (d) 3385\/8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**3 + 7 - 4*q**3 + 12*q**3 in the form c*q**2 + f*q**3 + b*q + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -w + 13. Suppose l + d - w = -2*l, 2*l - 4*d - 22 = 0. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5335991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(47\/705) + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.2 - 18. Let g = s - -5.8. What is the biggest value in 0.5, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**3 + 37*o**2 - 46*o + 144. What is a(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 1989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 145, 183, 239, 319, 429, 575, 763?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791 - 2386 - 2518 = -435*a + 3717 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*p + f + 164, p = 5*f + 19. Suppose -5*z = 5*m - 6 - p, -5*z + 22 = -4*m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 155759, 311536, 467335, 623156, 778999?\n\"Answer: 11*x**2 + 155744*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**4 + 3*i**4 + 2*i**4 + (0*i**3 - 3*i**3 + 2*i**3)*(-2*i + 7 - 7) + (24*i**3 + 77*i**2 - 77*i**2)*(-3*i - 5*i + 3*i) + 0*i**3 + 0*i**3 - i**4.\nAnswer: -120*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -155, 4.\nAnswer: -155, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -1\/12*k**4 - 2\/3*k**3 + k**2 - 187*k + 0. Determine t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**3 + 22*u**2 - 12*u + 8. Let y(x) = 2*x**3 + x + 1. Let j(w) = i(w) + 3*y(w). Is j(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 39, 13, -31, -99, -197, -331, -507?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*u - 5*u**3 + 6*u**3 - 4*u**2 - 28*u**2 - 5*u**2 + u**3 in the form l*u**2 + q*u**3 + d*u + h and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2467 + -9321553162.\nAnswer: -9321550695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2642 (base 16) to base 5.\nAnswer: -303134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0*a**4 - a**2 + 13*a + 0 + 1\/3*a**3 + 1\/20*a**5. Calculate l(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -19. Let x = 5 - 4. Suppose -2*u = -2*b - 2, -7 - x = -5*u + 2*b. Solve -h = -2*v - u*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -1\/3, -0.5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1393908 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2352.70756 to zero decimal places.\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1359\/(-42)*(-1)\/(-9). Let o = k - -19\/6. Suppose 13 = 3*n + 2*n + 3, -4*i + 2*n = 0. Sort o, i, 2 in descending order.\nAnswer: 2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14296 - 11515. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 2.01. Let d = 1 - h. Let m = 6 - d. Which is the nearest to 3? (a) -1\/2 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2.3, 3\/2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172426 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + ((-1500)\/(-650) - (-14063)\/1066)?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -45*t**5 + 276*t**4 - 441*t**3 + 234*t**2 - 24*t = 0.\nAnswer: 0, 2\/15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 - 98*y**3 + 1482*y**2 - 6678*y + 5292 = 0. What is y?\nAnswer: 1, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 17. Let z be j(-12). Let t(s) = -2*s + 23. Let p be t(z). Solve 0 = -5*k - 7 - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1160 + -1159.9. What is the closest to 1 in 2\/9, o, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*f = -13, -5*t + 2*f = 4*f - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -78*h - 366. Let t be w(-10). Let q = 494 - t. Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120122111 (base 3) to base 6\nAnswer: 124451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 6*t**2 + 5*t + 4. Let z be w(4). Calculate the highest common factor of 1064 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**7\/h*h*(h*h**(-27))\/h)\/(h*h**(11\/2))**15 assuming h is positive.\nAnswer: h**(-233\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 1125?\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*l**2 + 201*l**2 + 326*l**2 - 107*l**2 to s*l**2 + x + h*l and give s.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, f: 2, w: 1, c: 2}. What is prob of sequence ffyw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/3)\/((-14)\/42)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68, 265, 588, 1037?\n\"Answer: 63*s**2 + 8*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-32)*2*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*i + 2542*i + 189649 = -254*i - 23*i for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-4))\/(((-200)\/(-480))\/(10\/6)). Suppose -7 = -4*f + 9. Solve 0 = -f*u + 2*w + 2, 5*u - 7 = 5*w + a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 3 (c) -2\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/3)\/(8\/6 + -1). Is (-4770)\/(-1) + h\/(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -886400 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*s + 4 = 7*g, 4*g = s - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12)*(0\/(-2) - 18). Let f be (-2)\/(-8) - 75\/w - -2. Is f not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1671\/155 - -49\/31. What is the common denominator of t and 9\/3190?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0732428587 to 4 dps.\nAnswer: -0.0732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 + 7*d**2 + 10*d - 19. Let x(f) = 4*f**3 - 11*f**2 - 15*f + 28. Let s(v) = 7*r(v) + 5*x(v). Suppose 3*t + 20 = -t. Calculate s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593827853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135529054?\nAnswer: 2, 67764527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 552444423, 552444435, 552444469, 552444537, 552444651, 552444823, 552445065?\n\"Answer: 2*g**3 - g**2 + g + 552444421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220200020 (base 3) to base 6.\nAnswer: -215140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/120 + y**5\/4 + 25*y**4\/8 + 125*y**3\/6 + 2*y**2. Solve k(l) = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0 - f + 0)*(0 - 1 + 0)*(-1 + 5 - 2 + (3 - 3 + 11)*(0 - 3 + 5)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 77. Find the second derivative of r*d**2 + 26*d**2 - 48*d**2 - 8*d wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s + 34. Let n be b(21). Let r = 321 + n. Suppose 8*u = 437 + r. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 4*a**2 + 2*a**2)*(-a**3 + 2 - 2) + (-6*a**2 + 17 - 17)*(-2*a**3 + 3*a**3 + a**3) + 0*a**4 + 0*a**4 - 2*a**5.\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27204 times -2?\nAnswer: 54408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -1. Let t(c) = c**2 + c - 10. Let b be t(-4). Let z(r) = 116 - 7*r + 2*r**b - 57 - 66. Let k(d) = d**2 - 3*d - 3. What is u*k(g) - 3*z(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 24*k + 169 = -19*k, 2*k = -3*w + 154. Suppose -47*r + w*r - 14383 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.2 and 0.3.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -1000000100?\nAnswer: -111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 - 5*o**2 - 8*o**2 - 9*o**2 - o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1372, -2, -1170 in descending order.\nAnswer: 8, -2, -1170, -1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, and 1 u when three letters picked without replacement from {w: 2, f: 5, j: 5, u: 1, d: 5}?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9346946, -18693898, -28040850, -37387802?\nAnswer: -46734754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15372.45 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - r + 53, t + r + 3*r = 32. Calculate the smallest common multiple of t and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 1\/3, 0.2, 3\/5, -9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.028 + -0.22. Let t = -3.87791 + 3.6285. Let j = r - t. What is j rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.07186561 rounded to 2 dps?\nAnswer: 9.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1*2*3)\/(42\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 84*v**4 + 4*v**3 + 10*v + 183. Let c(w) = -2*w**3 - 2*w + 1. Let q(b) = -6*c(b) - z(b). What is the second derivative of q(g) wrt g?\nAnswer: -1008*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 3. Let p be z(3). Let q(h) = -6*h + 3*h**3 + 7*h**2 + 6 + 5*h - 7*h - 4*h**3. Calculate q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18894 + 18891.78. Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6419*w**3 - 10*w**2 + 2*w + 20. Let p be u(-10). Round p to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53873 divided by 1?\nAnswer: -53873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjr when three letters picked without replacement from {l: 5, z: 8, j: 2, g: 3, r: 1}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 6 = -m, 4*p - 5*m + 16 = 0. Let s(r) be the first derivative of r + 0*r**2 + 1\/3*r**3 - p. Find the first derivative of s(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-13098)\/(-10))\/((-26)\/(-8840)*34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14646882 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/(20\/52).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -33*p + 553. Determine x(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, -4 in ascending order.\nAnswer: -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 27 - -36 - (109 - 27)) + (0 - 10).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 13*g - 23. Let h(f) = -3*f + 1. Give -3*h(z) + j(z).\nAnswer: z**2 - 4*z - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 495*h + 3. Let z(y) = -2*y. Give t(z(p)).\nAnswer: -990*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 11. Let g(i) be the third derivative of -i**6\/120 + 2*i**5\/15 + 5*i**4\/24 - 2*i**3 - i**2. Is g(r) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 713 and 9331.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:27 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -m - 9, 3*m + 19 = -5*z - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, f: 1, y: 2, e: 1, h: 2, x: 1}. What is prob of sequence xxfh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295480 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1598 - 949. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.64 + -0.417. Let t = 0.047 + w. Round t to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 269*i - 9. Let f(s) = -270*s + 11. What is 5*c(q) + 4*f(q)?\nAnswer: 265*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**3*a)\/a)**(7\/6) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 665102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 > -3.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 2*p - 3. Let x(z) = -2*z**2 + 2*z - 3. Let c = -4692 - -4689. Give c*x(k) + 4*v(k).\nAnswer: -2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*u**4*v - 2*u**3*v + 3*u**2*v + 17*v wrt u?\nAnswer: 1680*u*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2536, 2563, 2654, 2815, 3052, 3371, 3778, 4279?\n\"Answer: k**3 + 26*k**2 - 58*k + 2567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17533718, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -247.129 - -247. Let h = l - -0.041. Let s = h + 0.288. Which is the biggest value? (a) -9 (b) s (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from xjsxxjc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 208*n + 456. Give s(102).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1027\/3 - 357. Let i = g + 33. Find the common denominator of i and 2\/((-12)\/(-61)) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 328 - 334 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/33 - -8\/11. Let x = -2.8 + 69.8. Let s = -66 + x. Which is the nearest to 0.2? (a) s (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 200966.\nAnswer: 2210626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 752268 - -102653. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -886124?\nAnswer: -886122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + 1b68?\nAnswer: 1b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 717 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -52*i**5 + 2*i**4 + 2*i**3 + 69*i**2 + 4*i. Let g(p) = p**5 - p**4 - p**3 - 2*p. Let k(a) = -c(a) - 2*g(a). Find the third derivative of k(j) wrt j.\nAnswer: 3000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.27 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let n(v) be the third derivative of -v**6\/72 - v**4\/12 - 2*v**2. Let g(p) be the second derivative of n(p). Calculate g(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0408 + -0.008. What is o rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n - 2002 = -702 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 3, y: 1, o: 1, r: 4}. Give prob of sequence yxx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9*318641\nAnswer: 2867769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 86*x**2 + 242*x - 2454. What is b(-8)?\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 + 3*r**2 + 5*r - 5. Let t be o(-5). Let c be 1 + t - 8\/8. Solve -u - 4*u = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -757 - -8106. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/((-31)\/((-3255)\/(-30)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.01 (c) -15\/4 (d) 1488\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*s + 435, s - 5*s - 172 = -2*r. Let c = -50 + r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 68760578.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3498 - -0.0498. What is the closest to 0.2 in 5\/2, 7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147074580 to the nearest 1000000.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8)*3)**2*-1.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 21261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s**2 + 3*s**4 + 3*s**2 - 9*s - 7*s**2 - 4*s**2 + 0*s**2 - 13 wrt s.\nAnswer: 36*s**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**3 + 0*h**5 + 0*h**4 - 5\/2*h**2 + 8*h - 126 + 15*h**6. Find the second derivative of u(v) wrt v.\nAnswer: 1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253 and 11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(7 + (-360)\/56) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(sqrt(931) + sqrt(931) + 1 + -5 - sqrt(931))*4 + 3 + 5))**2.\nAnswer: -9408*sqrt(19) + 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61037, 67929, 74821, 81713, 88605, 95497?\nAnswer: 102389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054551678 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4169666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -140.\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, l: 8, e: 2, z: 2, d: 1}. Give prob of picking 1 d and 1 z.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 131, 177, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(112) + -2)*5 + sqrt(175)*-3 + 3*(sqrt(343) - sqrt(7)))**2.\nAnswer: -460*sqrt(7) + 3803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6299996 - 4\/8*8. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13778, -14494, -15210, -15926?\nAnswer: -16642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -57*t**5\/20 + t**4\/6 - t**3\/6 - 7*t**2 - 4. What is the second derivative of i(h) wrt h?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwmwwm. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301*a**2*c*x - a*c*x**2 + 574*c*x**2 + c*x wrt a?\nAnswer: -602*a*c*x - c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8682?\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1713 - -176. Let n = -1533 - c. Suppose 0 + 2\/5*g**2 - 2\/5*g**n + 2\/5*g**5 - 2\/5*g**3 + 0*g = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g**6*g)*g**(-1\/10))**9)**2)**(-1\/7) assuming g is positive.\nAnswer: g**(549\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 580\/87*15\/20. Solve s*m = 1329 - 1369 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {v: 3, a: 4, p: 2, c: 1, h: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5512.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 0*j**2 + 2*j**2 - j**2 + 1 - 1 + (3 + 0 - 2)*(-3*j**2 - 1 + 1) + (3 - 3 + 2*j)*(3*j - 3*j + 2*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/1 - 2 - (-49 - 0) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284475583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 6:21 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 + -17)*((0 - -2) + 0). Let d(a) be the third derivative of -1\/6*a**3 + 7\/24*a**4 - 6*a**c + 0 + 0*a. What is d(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/13 or -1.5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002000100 (base 3) in base 13?\nAnswer: 981c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121200 - -122?\nAnswer: 2121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 - 6*j + 24. Give w(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/12)\/(10\/(-20)). Which is the nearest to 1? (a) -3 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 22, 1590, -4 in decreasing order.\nAnswer: 1590, 22, 4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/2 or -9112?\nAnswer: -9112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3\/26 (c) -1\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z + 37. Let j be v(11). Let k = 240 - j. Suppose -56 = -5*q + 54. What is the remainder when q is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7645 - -4403. List the prime factors of j.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -19.9. Let h = 4.98 + -4.88. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -9. Let g = t + 2. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 7759217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277511 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, 1\/6, 1\/47?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8784\/13257 + 2\/(-3). Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/19))**(2\/13) assuming a is positive.\nAnswer: a**(2\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445.98954 + 446. Round r to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six thirds of a year?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 10983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 3, r: 1}. Give prob of sequence rwb.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 18*b - 1050 = -108*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2011173*v**2 + 70527*v + 60 wrt v?\nAnswer: -4022346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*b - 1914 = 71*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 12*a + 17. Is d(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(7\/2)\/c)\/c*c)\/c*c\/(c**7*c)*c)\/((c**15*c)\/c**4) assuming c is positive.\nAnswer: c**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-1970)\/1700 + -23.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -1\/10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1143 and -0.2338.\nAnswer: 1142.7662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16330*f - 32945*f + 16618*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 172 = -184 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415.584 - 415. Let u = 0.384 - s. Put -1\/2, u, -1, 0 in ascending order.\nAnswer: -1, -1\/2, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phph when four letters picked without replacement from {h: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10717*g + 75013. What is c(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(2\/6). Suppose s + v + 3 = 0. What is the tens digit of s\/(-6) + 232\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14818*w**3 - 6 - 14820*w**3 + 3 to g + m*w**3 + k*w**2 + o*w and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 + 10*g**3\/7 - 12*g**2\/7.\nAnswer: -2*g**2*(g - 3)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.0285, 4\/175 in increasing order.\nAnswer: -7, -0.0285, 4\/175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 15. Suppose -76 = -17*r + 111. Let x = r + j. Solve p + x = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/17 + -232\/323. Let q be ((-3)\/6)\/(3\/(5 - -1)). Which is the second smallest value? (a) d (b) q (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 9. Let i(b) = -7*b. Let c(j) = -3*j - 2. Suppose -11*z = -25*z + 70. Let k(h) = z*c(h) - 2*i(h). What is -3*k(n) - 4*m(n)?\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cte when three letters picked without replacement from {a: 1, t: 1, e: 2, c: 1, j: 2, q: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + 6?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m + 5. Give t(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:46 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4788 and 72?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10937461 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 99. What is the nearest to 1\/4 in -0.4, n, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4 - 1492*u**3 + 61488*u**2 - 855344*u + 3978800 = 0. Calculate u.\nAnswer: 14, 1450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. What is the second biggest value in 2, b, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 353580 and 36.\nAnswer: 1060740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:20 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2. Let r(q) = 3*q + 72. Let l be r(-24). Let j(a) be the third derivative of 1\/20*a**5 + l*a**3 + 0*a + a**2 + 0 + 0*a**4. What is n(j(w))?\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 + 9 - (-7 + 9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 44*a - 1516. Determine u(35).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.06079622 to three decimal places.\nAnswer: 1.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 16 - -3)*(-1 + -24). Let s(o) = o**2 - 13*o + 2. Let f = -22 - -38. Let k be s(f). What is the greatest common divisor of t and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 - 57789*l**4 - 278268480*l**3 + 278326272*l**2.\nAnswer: -3*l**2*(l - 1)*(l + 9632)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -128. Suppose 0 = -o + 3*t + 11 + q, 4*t = -o + 12. Suppose o*d - 30 = 270. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/25)\/y**21 assuming y is positive.\nAnswer: y**(-523\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 11*h**2 - 13*h + 27. What is x(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.898 + 0.102. Which is the second smallest value? (a) -5 (b) i (c) -0.4 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/13, -0.1, -17, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 2. Let i(w) = w. Let y(q) = -10*i(q) - 2*r(q). Find the first derivative of y(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -3)*1 + 1 + sqrt(252) + -2 + (5*(sqrt(1008) + 2 + 3 + sqrt(1008) + 2))**2.\nAnswer: 8412*sqrt(7) + 102021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43433*a + 1534*a**2 + 43433*a)*(-a**3 + a**3 - 3*a**3).\nAnswer: -4602*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.58, 3\/53, 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-300))\/(2\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13537, -27003, -40395, -53713, -66957?\n\"Answer: 37*r**2 - 13577*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -2\/47, 157499 in increasing order.\nAnswer: -2\/47, 0.04, 157499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*z - 58*z + 16*z + 2*z - 4*z + z + (-1 + 4 - 1)*(1 + z - 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. Suppose 0 = p*a - 3 + 3. Solve -k + 4 = -a*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5989*g**2 + 17*g**3 + 5989*g**2 + 0 + 0.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 2*p + 15. Let w(j) = 501*j**3 - 5*j + 2. Let i(f) = -4*r(f) + w(f). What is the second derivative of i(k) wrt k?\nAnswer: 3030*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t + 32. Determine b(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -1\/2 (c) 0 (d) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6135, 12224, 18309, 24390, 30467, 36540, 42609?\nAnswer: 48674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) 4.1 (c) 0.1 (d) -1\/6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j**4 - 5*j**3 - j + 5. Let d = 8 - 3. Let y(s) = -10*s**4 - 6*s**3 - s + 6. Let u(h) = d*y(h) - 6*b(h). Find the second derivative of u(w) wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333 and 407?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961\/9*r**4 - 4\/9 - 1213\/9*r**2 + 682\/3*r**3 + 44\/3*r = 0 for r.\nAnswer: 2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1213661542 - 0?\nAnswer: 1213661542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + y**2 + 0*y**2 + 3*y**3 - y**2 - 23*y.\nAnswer: 3*y**3 - 23*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2*w + 26. Determine y(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/60 + 5*z**4\/12 - 5*z**3\/6 + z**2. Suppose -264 + 165 = -11*w. Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16*(-8)\/(-2))\/(9737\/1391)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3345 is divided by 1638.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640 and 99589760.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323131 (base 5) in base 13?\nAnswer: c1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 257, -6, 5, -1404 in decreasing order.\nAnswer: 257, 5, -6, -1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 505*y**4\/12 - 261*y**2 + y + 36. What is the derivative of c(a) wrt a?\nAnswer: 1010*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 15*i + 16. Let k be n(11). Let t = k - 46. Let b = t - -117. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12507 at least as big as 12472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34493\/21 in -0.4, -0.2, 7, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from errrreerqreereeqrqqe. Give prob of picking 3 q.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 59*w**3 - 56*w**2 - 2*w. Let x(n) = 1296*n**3 - 1233*n**2 - 45*n. Let l(y) = 2*x(y) - 45*z(y). What is the third derivative of l(k) wrt k?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = b, 23 = -3*s + 6*b - 10*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 2. Let p be u(-1). Solve 3*d = -a - p, -3*d - 3 = 2*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {d: 1, x: 10, i: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 399206?\nAnswer: -399204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 + 233*d + 279*d + 51*d**2 - 515*d. Determine l(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(6\/13))*v)\/v)\/v**10 assuming v is positive.\nAnswer: v**(-124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-12))\/(5\/(-20)). Calculate the common denominator of 56\/(-16) + 107\/n and -45\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -9, 374, -2\/801, -1?\nAnswer: -2\/801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*l + 8*l + 11*l**3)*(-1 - 4 + 3 + (-4 + 2 + 0)*(-35 + 21 + 21)) to x*l + v*l**3 + m*l**2 + j and give v.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -2. Suppose z*j = -j. Factor -7*l**5 + l**5 - 16*l**3 + 2*l**5 + j*l**5 + 20*l**4.\nAnswer: -4*l**3*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 539833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00133229666 to 5 dps.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**5\/10 + 5*p**4\/12 + 5*p**3\/3 - p**2 + 21*p. Is v(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 466*n - 640. Calculate the lowest common multiple of b(-68) and 3192.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*l**2 - 19*l + 19*l + 216*l**2 - 423*l**2 + 139*l**2.\nAnswer: 115*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/40)\/(2\/(-5)). What is the nearest to 2 in k, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.17 - 0.17. Which is the closest to n? (a) -3 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*2 + -5)*-5)**2 - (sqrt(187) + -2*sqrt(187)*-1)\/(sqrt(55)\/sqrt(5)*-4).\nAnswer: -13997*sqrt(17)\/4 + 83925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/(-22) + 18\/(-99). Suppose -u*g + 18 = -4*o, o + 2 = -1. Suppose 4*k = g*j - 10, 0 = 5*j - k - 3*k - 19. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14495, 16163, 20681, 29471, 43955, 65555?\nAnswer: 95693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x + 2. Let u be p(3). Suppose -a + u = 4. Let t be (-14)\/(-8) + a\/16. Solve 0 = -t*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -402 - -111. Let u = -577 - -1015. Let d = u + w. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 352216*v + 20 - 704422*v + 352207*v. Let y = 4 + -13. Give w(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 29*m**4\/24 - m**3 - 3*m**2. Let s be b(2). Let t = -48 + s. Solve 2*n - 8 = 4*w, t = -w + 3*n - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1605, -3201, -4797, -6393, -7989, -9585?\n\"Answer: -1596*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*t + 456. Let j be 3\/((-21)\/2) + (-50)\/t. Suppose j = a + 16 - 40. Calculate the smallest common multiple of 20 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 7, 5\/3 in decreasing order.\nAnswer: 7, 5\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(66)\/sqrt(6)*5))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23434692, -23434689, -23434686, -23434683, -23434680?\nAnswer: -23434677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 18*y + 15*y = 32, 5*n - 104 = y. What is the remainder when 79 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 16*g - 12 = 0. What is g?\nAnswer: -6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*1 + sqrt(432))*-3)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24726000 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1151499, -1150934, -1150369, -1149804?\n\"Answer: 565*n - 1152064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hihd when four letters picked without replacement from {h: 8, d: 5, i: 5}.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, 0, 19, 38, 57, 76?\n\"Answer: 19*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066676581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-28908)\/90)\/(-11))\/(-4))\/(7\/70).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -6895 (c) 3.7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**8\/336 - n**7\/105 - n**6\/120 - 17*n**2\/2 + 46*n. Let s(p) be the first derivative of y(p). Factor s(x).\nAnswer: -x**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + v + 2)*(5 - 2 - 4) - 5 - 5*v + 5)*(v**2 - 3*v**2 - v**2) + (-v + v - v**2)*(v + 3 - 3) + 9*v**3 + 11*v**3 + 3*v**3.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 20*h - 112. Let r be d(9). Let z = r - 56. What is the remainder when 23 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 26. Determine w(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -19.5. Which is the nearest to -1? (a) -4 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774*r**2 + 1548*r**2 - 772*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/9)*h)\/(h*h**(-1\/4)))**(23\/5) assuming h is positive.\nAnswer: h**(851\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 + 159775132*u + 159775136 = 0.\nAnswer: -1, 39943784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and -7.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 25 = -4*b, 4*l = l + 3*b - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2920 = -u, -3*u + 1765 = -4*n - 6984. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 99*t - 2957. Give s(27).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 117*f + 8342. Give a(-167).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1875*b - 578. Let p be f(-3). What is the highest common factor of p and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kksbwkkub. Give prob of sequence kbk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-14 - -4) + -10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*g**5 + 3*g**2 + 197892*g wrt g?\nAnswer: -720*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5461 divided by 21367\nAnswer: 5461\/21367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**3 + 5*i**2 - 2*i + 6. Let d(p) = -11*p**3 + 4*p**2 - 2*p + 5. What is 6*d(w) - 5*f(w)?\nAnswer: -6*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -12*o + 122. Calculate the remainder when (0\/(-4) - 2)*o\/4 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3 + 7 - 2 - 4*u + u**2 + u. Let h be v(2). Suppose -5*t + t + 20 = h. Solve l - 5*p = 2*l, 0 = t*l - 3*p + 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from etexmjljejt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8041816501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 64*y**3 - 5*y**2 - 5*y + 32. What is the thousands digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2694 + (0 - 0). Let q = n - 16195\/6. Find the common denominator of 3\/(-4) + 519\/36 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/13?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/903 and 80\/5031.\nAnswer: 35217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1018*z**4 + 2*z + 314 wrt z?\nAnswer: 12216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Let m(j) = -j**2 - 17*j - 11. Let s be m(-15). Suppose 0 = 5*k - l + 9, -k + 5*l - 2 - s = 0. Put p, 5, k in descending order.\nAnswer: 5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - 6*l**2 + 3*l + 1. Determine d(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:22 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/280 + (218\/(-80) - (7 - 10))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - p - 7 = 0, -p = 4*n - 4*p + 14. Sort n, -14, 14, 0.2, 3\/2.\nAnswer: -14, n, 0.2, 3\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**36*q*q)\/q*q)**43 assuming q is positive.\nAnswer: q**1634","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 15*t = 3. Let b(x) = -x**2 - 2*x + 3. Let i be b(-4). Let m be t + i\/(20\/(-12)). Let c(n) = -3*n**3 + 3*n**2 - n + 2. Give c(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, 59, 189, 361, 569, 807, 1069, 1349?\n\"Answer: -g**3 + 30*g**2 - g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = -3*x + 10, 0 = x + 4*t + 20. Suppose x*z - 5*s = 3*z - 34, 62 = 5*z + 3*s. Solve 5*i - z - 12 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240300 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 - -0.06. Let d = -0.4 + -0.4. Let i = d + z. What is the closest to -2\/5 in -3\/4, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, -462\/71, 1.03, -3\/2 in descending order.\nAnswer: 1.03, -3\/2, -1.7, -462\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/420 - r**5\/40 + r**4\/8 + r**3\/2 - r**2. Let n(q) be the first derivative of l(q). List the prime factors of n(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5327*h**2 - 5147*h**2 - 4*h + 10118*h**2 + 4*h.\nAnswer: -356*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16092 = j, -5*f = 4*j - 36731 - 27664. 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 the highest common divisor of 189 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93, -187, -281, -375, -469, -563?\n\"Answer: -94*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 356501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:35 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m - 30*m - 30*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 442 - 208. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262087382 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s**2 - 11*s - 6. Let y(t) = 15*t**2 + 10*t + 8. Let j(b) = 7*x(b) + 6*y(b). What is the units digit of j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-357)\/((-49)\/7). Is 52 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*4)\/2 - -3. Suppose -k = -3 + v. Let t = 3 - k. Solve 0 = -3*r + t + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. List the prime factors of 22*((-26)\/(-4) - d).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - -41. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smlxt. What is prob of sequence sx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*n**3 - 2*b*t - 60*n**3*t**2 + 509*n**3*t + 5*n**2*t + 3*n*t**2 + 214*n - 1 wrt n?\nAnswer: 12*b - 360*t**2 + 3054*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**2 - 7 + 1\/60*k**5 - 7\/24*k**4 + 0*k - 2*k**3. Let p(f) be the third derivative of o(f). Give p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2299) - sqrt(2299)*2 - sqrt(2299)) - (sqrt(2299) - 1*sqrt(2299))*5)**2 + 4 - 6*(sqrt(2299) + 2 + -2 + sqrt(2299) + 0 + -4).\nAnswer: -44*sqrt(19) + 9228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133.92 + 211.6. Let o = -70.9828 + p. Let r = o + -6.7. Round r to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6944\/13, 18, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17270562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5281 to the nearest one hundred.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 divided by -2?\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*y - 18, 0 = -o + 4*o + 4*y - 23. Calculate the remainder when 21 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100011010111111100 + -100001?\nAnswer: 1110100011010111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -392163, 0.1, -3\/67, -1\/3?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 711, -16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 + 0*v**4 - 3*v**4 + (v + v - 4*v)*(33*v**3 + 19*v + 1794308*v**2 - 1794306*v**2 - 55*v) to i*v + s + r*v**2 + u*v**3 + k*v**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s + 6. Let m(h) = h**2 - h - 18. Let l be m(5). Let c be z(l). Solve -v - 20 = -c*i, 0*i = -4*v - 3*i - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(-19\/4))**(1\/4))**(-2) assuming x is positive.\nAnswer: x**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) 11 (c) -8.06 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1105 (base 10) to base 8\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(-2 + sqrt(51)\/(sqrt(21)\/sqrt(7)*-3))*5*-4.\nAnswer: 400*sqrt(17)\/3 + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54370 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 15204644 and 15204639 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8) + (-1575)\/28. Let w = c + 173\/3. Let l be (1\/(-2))\/(3\/(-18)). What is the second smallest value in l, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 2*v + 1. Let g be s(-1). Suppose -g*m + 1 + 3 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1420767\/50 + -28414. Find the common denominator of w and -3\/35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 68. Suppose 5*y = y - 3*a - 56, 5*y = -a - 70. Let d = w + y. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 2, 5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1925)\/105*9\/(-15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 567*g + 16754. Determine h(-27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let g be x(-7). Let l(s) be the third derivative of s**5\/60 + 7*s**4\/24 - 3*s**3\/2 - 87710*s**2. Give l(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-21) + (-258)\/(-27)*(-99)\/924. Which is the closest to 0.1? (a) -2\/3 (b) 0.06 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 10*x + 28 = 0, 4*q - 3*x + 2*x - 172 = -178 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2169, -2182, -2205, -2238, -2281?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-20)*26064\/(-724)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27136, -26885, -26634, -26383?\nAnswer: -26132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(5\/2))\/(p\/(p*p\/(p\/(p\/(((p\/(p*p**(-2\/29)\/p))\/p)\/p))))*p))**(9\/13) assuming p is positive.\nAnswer: p**(-297\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2548*n + 352643 - 222695 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68.1 - 68. Sort 1, -2, a in ascending order.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 50\/23 (b) -15 (c) -5\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 5*m**2 - 4*m + 37. Calculate d(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 i when three letters picked without replacement from rlrinrririrn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1)\/(-2))*(-96 - 71668\/(-738))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12141637 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 + 76)*3\/(-24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 3 - 5*a**2 + 8 + 5*a + 2*a**2. What is the units digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-98)\/28)\/(-7))\/37)\/((-10)\/(-8))\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929972137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(15\/21 + (-10)\/(-35)). Suppose -15*q = -11*q - 4*y + 22380, w = 4*y - 20. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/2 + q**2\/2 - q. Let n = 3 + 0. What is u(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjmccmmfmbft. What is prob of picking 1 j, 1 t, and 2 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Suppose 156 = -4*t + 3*q + 613, -d*t + 2*q = -342. What is the units digit of (t\/35)\/((-4)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 16554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Let t(p) = -22*p - 11. Let i(u) = -5*u - 3. Let l(q) = -11*i(q) + 3*t(q). Let y(w) = 8*h(w) - 3*l(w). Give y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/13)\/k)\/(((k*k\/(k**15\/k))\/k)\/k))\/(k*k\/k**3*k)**(5\/8) assuming k is positive.\nAnswer: k**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -158\/3. Let k = 204.8 - 203.8. Which is the smallest value? (a) x (b) 0.1 (c) -0.5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1437, -11262, -37785, -89310, -174141, -300582?\n\"Answer: -1384*u**3 - 45*u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38502.6 and 992720.\nAnswer: 1031222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 20 = -2*x + 13*b, 5*b = -3*x - 37 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4822\/(-146) - 4046\/(-147679)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/77 + (-5702)\/44*-2. Suppose -s = 3*z - 10*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*-2 - sqrt(1728))**2*4 + 3 + -4 + (-2*sqrt(147))**2.\nAnswer: 62795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 17*t - 32. What is the smallest common multiple of 70 and d(-19)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-12) - 2)*-63 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-24)*h**(-9\/4)\/h*h)\/(h**29)**(-39))**(-13) assuming h is positive.\nAnswer: h**(-57447\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1*t*t**3)\/(t\/((t*t*t\/(t\/t**4)*t)\/t)*t)**(-26) assuming t is positive.\nAnswer: t**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*m + 35*m - 470. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/24)\/((-6)\/(-8)). Let g be 5\/52 + 3\/(-12). Let q = 55\/104 + g. What is the nearest to -2 in a, q, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-91)\/65)\/(2464\/(-640)))\/((-885)\/(-55) - -3).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (25 - 22) - 33?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 9, b: 6, y: 3}. Give prob of picking 1 y and 3 b.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9.5. Let k = u + -0.5. What is the smallest value in -3\/7, k, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.364672 millennia?\nAnswer: 93.64672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005035518007 to four decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 696, 690, 672, 636, 576, 486, 360?\n\"Answer: -c**3 + c + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:15 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 0.5 (c) -2 (d) -0.11 (e) -113361 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.1, -1869 in descending order.\nAnswer: -0.1, -23, -1869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81169*c**2 - 107469 wrt c?\nAnswer: 162338*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**3 + 3*c**2 + 19*c**3 - 3 - 10*c**2 - c**2.\nAnswer: 39*c**3 - 8*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1629 divide 337044987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*a**3*r*u + a**3 + 2748*a*u + r*u - 3*r wrt r?\nAnswer: 61*a**3*u + u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/28 and -69\/1544.\nAnswer: 10808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, p: 1, m: 1, e: 3, i: 2}. What is prob of sequence iup?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 5}. Give prob of picking 4 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/22)\/(1\/(422\/1)). Let h = -9 + y. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 192\/(-144)*2*(-9)\/156. Which is the nearest to 2\/7? (a) 0.2 (b) p (c) -167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34986 is divided by 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674 divided by 21044?\nAnswer: 2337\/10522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let h = 1.7 - -0.3. Let w = h + v. What is the biggest value in -1, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = -4*b. Solve 7 + 13 = b*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.34025 micrograms in nanograms?\nAnswer: 53340.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-4))\/(1\/4). Let y be 0 - 1\/(1\/a). Find the third derivative of -d**2 - 36 - 2*d**y + 36 wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (864\/(-180))\/(9\/(-6))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20) + sqrt(20) + sqrt(20)*-1))\/((sqrt(4) - sqrt(16))*5)*-2*-4.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 1. Let s(w) = -4*w - 283. Determine -3*o(y) + s(y).\nAnswer: -y - 280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 82\/797149 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18*p + 18. Let n be f(8). Find the common denominator of (4\/n)\/(16\/96) and 101\/114.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -103*q + 19. Let c be k(-7). Suppose 0*b + c = 10*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -32. What is the third smallest value in 1, 7, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*n = 19, 0 = 4*m - n + 6 - 25. Let y be m\/5*75\/(-10)*4. Let h be (-13)\/4 - y\/(-32). Sort -3, 0, h in ascending order.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 3. Let w(i) = i + 88 - 28 - 24 - 29 - 9. What is -2*j(k) + 5*w(k)?\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 109735 (b) -0.4 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 t when four letters picked without replacement from {t: 11, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p + 31144 = 28602 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57904*d**3*j + 31522*d**3 wrt j.\nAnswer: 57904*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19*l - 452. Let b be h(24). Let p(c) be the first derivative of 1\/2*c**2 - 8 + b*c. Calculate p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -2*w**3\/3 + 3*w. Let n be o(3). Let r be 1 + 0 - (n\/(-2) - 7). Solve r*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/16*8\/(-3). Let j = 29 - q. Solve 7*c - 15 = 4*c, 0 = -4*w - 5*c + j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 67, 118, 193, 298, 439, 622, 853?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - (-2*sqrt(570))\/sqrt(10))\/(-2*sqrt(147)))**2 - (3*((sqrt(95) - -1*sqrt(95)) + sqrt(95)))\/((sqrt(90)\/sqrt(2))\/sqrt(9)).\nAnswer: -9*sqrt(19) + 171\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2*b - 5*b - 4*b + 4*b - 2*b - b + b - 2*b - 2*b - 1 + 1 + (0*b - 3*b + 5*b)*(-4 + 2 + 0) - 1 - 10*b + 1.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 9789801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-4417)\/(-2524)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 3*w + 5. Let j be z(-2). Let p(x) be the first derivative of 1\/6*x**j + 0*x**2 + 3 + 0*x. Determine q so that p(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.03849172 - -9.1984919. Let d = -1.16 + v. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40580\/158262 - ((-7)\/2 + 3)\/(12\/16)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5309309, 10618652, 15928009, 21237386, 26546789, 31856224?\n\"Answer: m**3 + m**2 + 5309333*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) + 4 + sqrt(2))**2)*-1 + 0.\nAnswer: -17*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100853 is divided by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3 - 8)*((-550)\/90 - -6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38 - -44) + -21 - -6) + 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 3*f**2 + 0*f**2 + (-3 + 0 + 1)*(3*f**2 - 5*f**2 + 4*f**2) - 3*f + 3*f + 2*f**2 - 554*f**2 + 897*f**2 - 564*f**2.\nAnswer: -222*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 + 3 = 0, w = -2*j + 9. Solve 28 = -3*k - w*y + 10, 5*k + 4*y = -27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 25 (c) 1\/9 (d) -2\/11 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose -o*z = -6*z. Solve z = 3*v, -16 = -2*w + 6*w - 2*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/4 - 2445*w**2\/4 - w\/4 + 2445\/4 = 0.\nAnswer: -1, 1, 2445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Solve -l = -f*r + 2, -3*r = 2*l - r - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101624 or 101623?\nAnswer: 101623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856612769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let r(y) be the first derivative of y - 4. Let z(o) = 4*o - 5. Let n(p) = 2*r(p) + z(p). Determine n(g) - 2*t(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -101, 1.32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10 + 62. Do 20 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -26*n**2 - 494*n + 2. Let o be d(-19). Solve 2*a + 7 = 2*r - r, -3*r = -o*a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14916.\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2235\/(-3129))\/((-11)\/(-7))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-6)\/(-40)*(-540)\/(-324)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 11*i**2 - 8*i + 14. Let p(c) = -c**3 - 11*c**2 + 9*c - 13. Let s(y) = -2*o(y) - 3*p(y). Determine s(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-510))\/(((-79299)\/(-1780))\/99).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.03, 0.5, 10 in ascending order.\nAnswer: -0.03, 0.5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(430*i**2 - 2*i + 137223 - 137223).\nAnswer: -860*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1570659 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.82 - 6.8. Let x = t + -0.02. What is the closest to 0.2 in 5, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/72 and -149\/112620.\nAnswer: 675720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -11. Let p = 236 + -231. Let x = -13 - -11. Put x, p, u in ascending order.\nAnswer: u, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*z - 32*z + 103*z - 1719 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3448 + -3226. What is the highest common factor of d and 2997?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -47, 2 in descending order.\nAnswer: 2, 1, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*m**2 + 232*m**2 + 7*m**4 + m - m**4 to the form p*m**3 + z*m**2 + c*m**4 + v + u*m and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -3, 398 in descending order.\nAnswer: 398, 109, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/7 (b) 5 (c) -1\/3528 (d) 7 (e) -4 (f) 4 (g) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 400504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 7*p + 5. Let h be 4\/(-14) + (-148)\/(-28). Let x be b(h). Is -1 + (0 - 1) - x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/7 (b) 100 (c) -3 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-4*p**2 + 4*p**2 - p**2) - 2*p + 2*p + 2*p**2 + 0*p**2 - 2*p**2 + 4*p**2 to t + l*p + c*p**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/7)\/(z*(((z*z\/(z\/((z\/z**5)\/z)))\/z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 4, -2347654?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339195 or 6\/19?\nAnswer: -339195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/125 of a minute?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -27, -1, -21, -123, -5 in descending order.\nAnswer: 11, -1, -5, -21, -27, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -3*t - 121, -5*t + 65*l - 66*l = -39 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -184*u**2 + 504*u + 71*u**2 + 71*u**2 + 44*u**2 - 673 + 167 = 0.\nAnswer: -253, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - z - 3835 = -2*z, 5*t = 3*z + 19135. Let b be (-4)\/18 - t\/18. Let m = b - -1919\/9. What is the second biggest value in -2\/13, m, -2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 + 5) - 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0*n + 10\/3*n**3 + 2*n**2 + 0 + 2\/9*n**5 + 14\/9*n**4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:18 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 433. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h - 11. Let g be d(0). Let o(q) = -q**2 - 7*q + 39. Let z be o(g). Let t(j) = j**2 + 7*j + 3. What is t(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35490 and 37128?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -832 times 5\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r - 4*r. Suppose -r*p + 2 = -2. Let g = 7 - p. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2546050 = 188*l + 619426. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74088 and 8808408.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-5) + (-86)\/(-5). Let s = l - 13. Suppose -c + 3 = -2*i + 7, -c = -3*i + 8. Solve y - s*a + i = -2*y, 0 = -5*y - 5*a + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37682)\/320297*17\/36\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/539 and -83\/70.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -168. Let g = -34 + k. What is the greatest common factor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 32*x + 193. Let k be r(-6). Sort k, -22, -112 in ascending order.\nAnswer: -112, -22, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from eengyyenlyy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 269895 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343.51749182364 + -1.51749505164. Let p = -342 + z. What is p rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4946 + -4946. Let p be (4 - -2) + -1 + -3. Put p, f, -3 in decreasing order.\nAnswer: p, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = -4*l + 3*y, 10 = -3*l - 5*y. Solve -9*r - 36 = -l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 20. Let j(g) = -5*g + 1. What is the lowest common multiple of l and j(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1414205 (base 6) to base 12.\nAnswer: 3a365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1860 - -187. What are the prime factors of d?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12074 + 17785. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**3*u + 2*l**3*z + 561*l**3 + 2*l**2*u*z - 2*l**2*z - 2*l**2 - 4839*u*z wrt u.\nAnswer: 2*l**3 + 2*l**2*z - 4839*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*5 - (sqrt(104) - (sqrt(104) + -2*sqrt(104))*5))\/(-5*(-2*sqrt(80))\/sqrt(10)).\nAnswer: -11*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 3712.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3290)\/1128*(-124)\/10)\/((-567)\/(-729))?\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 4*u**2 - u**2 + 2*u**2 - 17 as a*u**2 + i + g*u and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8 + -2756?\nAnswer: -2766.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162227529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 13. Let p = -678 - -682. Let t(r) = -r**2 - 3. What is p*x(z) + 18*t(z)?\nAnswer: -6*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16269551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -90825306 divided by 17166?\nAnswer: -5291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*f - 25 = -6*y, -f + 15 = 3*y. Let z(b) = -1 - 4*b - 5 + b**2 + 0*b. Determine z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1999 + -0.2. What is w rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143808 is divided by 340.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23679 + 23679 - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*t - 87 - 211, 4*b + 50 = t. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6120.951us to nanoseconds.\nAnswer: 6120951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 1:00 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 69 = 6*i, 4*s + 85*i - 90*i = 51 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8822 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -3*(-6)\/(-3). Let p be (-55 + -26)\/(-2 + k\/1). Let l = -79 + p. Solve -l*c + 9 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 23*t**4 - 38*t**2 + 6*t + 6. Let v(s) = -46*s**4 + 76*s**2 - 13*s - 13. Let q(o) = -13*j(o) - 6*v(o). Find the third derivative of q(p) wrt p.\nAnswer: -552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83040 = 8*i + 4*n, -12*n = -2*i - 8*n + 20720. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3801105 and -31\/14.\nAnswer: 7602210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let i(z) = -z**2 + 11*z - 9. Let q(f) = f**3 + 14*f**2 + 11*f - 16. Let c be q(-13). Let k be i(c). Put k, x, 2 in decreasing order.\nAnswer: 2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1767*l - 15180. Give i(9).\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8372\/(-798928)*24\/(-21).\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17231503 is divided by 2898.\nAnswer: 2893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8034728 and 20154.\nAnswer: 24104184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/130 + (-75)\/250.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 1. Let i be b(2). Let l(c) = 4 - c**2 - c - 4 - i - 1. What is l(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82599 is divided by 234.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 411*d**8\/28 - 135*d**4 - 746*d. Find the third derivative of o(w) wrt w.\nAnswer: 98640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 63) + 241\/11 + -5.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 14*a**2 + 12507*a + 23. Determine p(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 5 (c) -2\/5 (d) -10 (e) 1 (f) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/(-36) + 4\/(-16). Is (23 + -21)*(-4867)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -353*z**3 + 3*z**2 - 17*z - 8. Let v(i) = -235*i**3 + 2*i**2 - 12*i - 6. What is 5*k(r) - 7*v(r)?\nAnswer: -120*r**3 + r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/60 - u**4\/12 + u**3\/2 + 99*u**2. Determine g(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20300177?\nAnswer: 20300177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 1140*c + 1 - 2290*c + 1151*c. What is w(4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 p, and 1 x when four letters picked without replacement from {g: 1, y: 6, n: 2, x: 2, p: 3, z: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 23*n**2 + 18*n + 8. Let c = 505 + -514. Is z(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjtxjxtttxtxjuu. Give prob of sequence jx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1271*u - 21608. Determine f(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -270?\nAnswer: 270.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 6 + 21)*(s**2 + 5*s**2 + 3*s**2) to h*s**2 + z*s + w and give h.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 31*q + 13. Let p be h(7). Suppose -p = -9*f + 103. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 3419*a - 4803231. Determine c(1070).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19)\/(-3)*(-3 + 6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 3 - 8 - 7. Let r(p) = -p**3 - 10*p**2 + 6*p - 30. Let h be r(g). Does h = -207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*i + 2*z + 5, 0 = -2*i - 2*z - 6. What is the units digit of (-4 + 10)*(2 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 1. Suppose 7 = -5*n - k, 2*n + 0*k - 3*k = -13. Let z be y(n). List the prime factors of 7 - (-2)\/(z + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61775 (base 9) in base 4?\nAnswer: 21330122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 309*q**5\/20 - 5*q**3\/3 + 6*q**2 - q - 332. Find the second derivative of x(b) wrt b.\nAnswer: 1854*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from flllfffaf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, -2, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2054 and 32\/645?\nAnswer: 1324830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1694)\/(-22) + 1*(2 + -6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90.8 - 91. Which is the smallest value? (a) 1 (b) n (c) -1 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 5. What is y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.529 + -45.529. Let n = 22.037 - 0.037. Which is the nearest to i? (a) n (b) 1\/6 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 68 = -4*q + 2*r, -4*q + 96 = 2*r. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642*h - 949*h - 401*h = 1228*h. Factor h*a + 0 - 1\/3*a**5 + 1\/3*a**4 + a**2 + 5\/3*a**3.\nAnswer: -a**2*(a - 3)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cewbwuwucbwllub.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 46. Let n(c) = 2663*c - 6. Is n(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 0.08. Let u(n) = n**2 - 11*n + 8. Let p be u(7). Let h be p\/(-75) - (-3)\/9. Which is the second smallest value? (a) h (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 3244020?\nAnswer: -3244014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**2\/2 - 1. Let y(m) = -6 + 4 - 1 - 5*m. Let g(j) = 6*o(j) - y(j). Find the first derivative of g(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -s + 737 - 725, 16*k + 4 = 2*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275 - 8*p - 275.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 45. Sort 0.5, z, 2\/5, 4 in decreasing order.\nAnswer: 4, 0.5, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-33) - 7\/(-3). Suppose -j - 25 = -6*j + 5*c, z*j = -5*c - 4. Suppose -w + 0 = -j. Solve -w*i = 2*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27752 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5390.921l in millilitres?\nAnswer: 5390921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*c + 6 - 6)*(0*c + 0*c + c**2) - 108*c**2 + 56*c**2 - 3*c**3 + 56*c**2 to the form x*c**3 + p*c + l + n*c**2 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*l - 282 = 791, -531 = -2*j - 3*l. Suppose 3*s + j = 4*w - 0*s, 0 = -4*s + 12. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(684) + (sqrt(76)*2)\/sqrt(4))**2*2 + (sqrt(76) - (sqrt(76) - -5*-1*sqrt(76)))\/(sqrt(576)*-2).\nAnswer: -5*sqrt(19)\/24 + 3804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 times -13\nAnswer: 4.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*a**5 - 4*a + a**5 + 2*a + 864*a**2 - 864*a**2 + 67*a**5 + (3*a - 4*a + 0*a)*(-4*a + 4*a - a**4).\nAnswer: 98*a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-60)*-2*156\/(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.4, -28, 1, 139\/28 in decreasing order.\nAnswer: 139\/28, 1, 0.4, -0.03, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306305 is divided by 697.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-130)*(-1355)\/7588.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 373?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (118 - 116)\/((7\/(-6))\/(-7)). Let l be (38\/(-6))\/((-2)\/72). Calculate the highest common factor of l and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*i + 248*i + 9 = -c, 0 = -112*c - 3*i - 663 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*r - 95*r - 66 = 0. Calculate the highest common factor of 99 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 5 (c) 0.29 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let f(n) = 29*n - 423. Give f(b(k)).\nAnswer: 87*k - 423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -13029, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, d: 5}. Give prob of picking 1 u and 2 d.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -112. What is the smallest common multiple of 20 and g?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyyyyyyyyz. What is prob of picking 3 y?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3568*t = -104756 + 22692 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by 12200\nAnswer: -83\/3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924048 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = -2*b, -3*b - 17 = -3*o - o. Let c(m) = 97*m + 2040. Let n be c(-21). Solve o*a - 2*k - k = 15, -9 = -n*a + 4*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 3*j**2 - 7*j + 6. Give t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4633 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6003987\nAnswer: -5\/6003987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8 - (63 - (-230777)\/(-3738)).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187273.\nAnswer: 187273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let w be m(2). Let r be 1 + 1\/w*3. Suppose 0 = 4*k + r - 6. What is the lowest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 20408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/84*-9*(16\/(-192))\/((-39)\/32)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 6754*p - 2246*p - 2244*p + 3*p**2 - 2254*p.\nAnswer: -2*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 18. Is -17\/4 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1078 and 30919?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = 2*m + 7, -m + h = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohssosahhssg. What is prob of sequence sgo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51855 by -470.\nAnswer: -10371\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 27*p. Let g(y) = -4*y - 16. Let r(v) = -1. Let x(k) = -g(k) + 16*r(k). What is x(b(u))?\nAnswer: -8*u**2 + 108*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 2 + 2)*(-3 - 1 + 5 + (-3 + 0 + 1)*(1 - 2 + 2) - 4 - 2 + 4)*(-3*t - 3*t + 4*t + (0 + 12 + 4)*(0*t + 0*t - 2*t)).\nAnswer: -102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 6*h - 8. Let j = 7 + 1. Let v be l(j). Let i(f) = -f**2 + 9*f. What are the prime factors of i(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-3\/10)*c**(4\/7))\/(c**1)**31)**(1\/17) assuming c is positive.\nAnswer: c**(-1969\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + 2 + 8 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 3*g - 15, 5*w - 27 = -3*g. Let j(n) = n**2 + 11*n + 19. Let t be j(-8). Sort t, w, 1, 0 in decreasing order.\nAnswer: w, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 = 2. Suppose -1436 + 4307 = d*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 10. Suppose 12*t + 165 = -891. Let j = -61 - t. What is the remainder when j is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -5\/3, -4, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -4*h - 32*w + 13, 0 = 5*h - 2*w - 26. Solve 0*t + t + 17 = -3*b, -3*t + 14 = -h*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 3*i + 7. Let g(l) = -2*l**2 + 2*l + 6. Determine 4*g(m) - 3*y(m).\nAnswer: m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 753, -1, -3, 2 in decreasing order.\nAnswer: 753, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.866130822 - 1.10542?\nAnswer: -1.971550822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 42 - 7. Suppose -86 = -2*w + 4*j, -23 = 1285*w - 1282*w + 2*j. Let y be 1\/1 + (-2)\/(-2). Solve 3*b + y*b + w = 0, 4*b = 3*q - x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:25 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 10*r**4 + 10 + 9*r**4)*(6 - 2 - 1) in the form i*r + t*r**3 + m*r**2 + j + x*r**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016985467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s + 8. Let o be h(-8). Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38250.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -10, -56, -128, -226, -350, -500?\n\"Answer: -13*d**2 + 19*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -112.\nAnswer: -61\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.015 (b) -3\/2 (c) -1\/2 (d) 8\/1011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (855\/(-2))\/(-1) - (-7)\/14. Suppose -11*h = -551 - x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 14379915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/(-3))\/3*4448\/1112?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-9) + 2\/3. Suppose -36*o + 3298 = 2866. Solve 7*d - v*d + o = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358894.\nAnswer: 2, 311, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 232203 (base 4) to base 3\nAnswer: 11002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 539\/4 + (-10)\/(-40) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*((1 + sqrt(33)\/sqrt(3))**2 - (sqrt(99)*-1 - sqrt(99))).\nAnswer: -160*sqrt(11) - 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1022 - -1024. Let m(g) = 15*g + 3. Calculate m(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 0.3 (c) 0.1 (d) 36\/109 (e) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109480 and 966?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -174 + 98*x - 190 + 13*x + 345 as g + r*x and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/30 and ((-8)\/(-45))\/4*(-165)\/9?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1367831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w + 0 + 2*w + 7. Let t be k(5). Let h = t - -7. Solve -h*i + 2 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 21860*p**2 - 3*p**3 - 6179*p**2 + 3*p**3.\nAnswer: -3*p**3 - 28039*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320716 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*d - 0*d + 22, -3*d + 6 = -3*i. Suppose i*o = -o. What is the second derivative of o*m - m**3 - m - m wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 269 + 10*m**2 + 258 to the form p + y*m + k*m**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (4 + 5 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6334b1 - 0?\nAnswer: 6334b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217 - 24 + 86 + 19 + 149)*(-12 - 3*l + 12).\nAnswer: -1341*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10062 * 1060.\nAnswer: 10665720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8684 + 8686. Which is the nearest to -1? (a) 11 (b) -24\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.0000097. Round a to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (38 + -42)*134\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34413056*n**5 + 6*n**4 + 25*n**2 + 4*n - 50698?\nAnswer: -2064783360*n**2 + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225779156?\nAnswer: 2, 79, 811, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4056343 - 4056289 = -3*q, -4*b = 5*q + 73 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((2\/(-150))\/(214\/535))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33\/806 - -2022961\/2418. Let u(v) = v**3 + 22*v**2 + 27*v + 17. Let i be u(-18). Let w = x - i. Find the common denominator of w and 39\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 4. What is the remainder when 4 is divided by m(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = -3*c, 196*c = z + 193*c. Solve -3*s - 3*d = z, 0*s - d + 25 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and -3.323297?\nAnswer: 126.285286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12124083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13864 = 4*m - 2*c, 3*m + 3*c - 10403 = 7*c. Is 55 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 15. Let s be -1 - 1 - 42\/u. Suppose -s*h + 2*h = 0. Solve -5*x + 8*x - 15 = h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4046\/182 + 2394\/273 + -9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 5*u - 7. Let f be (2 + -3 + 7)*1. What is w(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + 64\/(-3). Let c = 3 - x. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6380 and -1.\nAnswer: -6380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1447 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 - 2*b**3 + 2*b**3)*(6 + 0 + 1).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1792038, -3584074, -5376110, -7168146?\nAnswer: -8960182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/4 + 14871*v**2\/2 - 310968*v.\nAnswer: -3*v*(v - 9872)*(v - 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4618424l?\nAnswer: 461.8424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = -4*v, -5*j + 9 + 1 = 0. Let n be (-4)\/(-2) + -2 - v. Let i(t) = -t**3 + t**2. Give i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46504451 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -13, -27, -47, -73, -105?\n\"Answer: -3*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/2*(-8)\/(-6). Let l = 20 + d. Suppose -z = 2*t - 7*t - l, z - 28 = 4*t. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*l + 488*l - 1 + 0 + 168*l to the form q*l + a and give q.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + -2*sqrt(133))*-5 - sqrt(133))\/(sqrt(14)\/sqrt(2)*-5).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 15 = -9*n + c, 10 = n + 2*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 2*b)*(1 + 0 - 2)*(-b + b - 3*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24*o + 22*o = -2, -n + 3*o = 7. Solve 4*f - 4*j - 55 = 11*f, -3*f - n*j - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/120 + w**4\/24 - w**3\/6 + w**2. Let a(g) be the first derivative of i(g). Calculate a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5675 - 5671. Let i(v) be the first derivative of -v**5\/20 + v**4\/2 - 5*v**3\/6 - 3*v**2\/2 - v + 2. Let y(o) be the first derivative of i(o). Give y(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4, -4, 0.17 in descending order.\nAnswer: 4, 0.17, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275637.\nAnswer: 11, 89, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, e: 3, o: 4}. Give prob of sequence cc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16445 and 6847698?\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 5, z: 7}. Give prob of sequence mz.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (22 - (-12 + 6))) + -43.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 18 = -4*u + 2*x, -u + 28 = -4*x. Calculate the highest common factor of 88 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4416 - 4?\nAnswer: 4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 3:35 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 4*f = 117 - 48 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0, -5\/7, -4\/7 in descending order.\nAnswer: 0.6, 0, -4\/7, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 92 - 90*u + 3*u - 86 + 267.\nAnswer: -87*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -320a460 + 0?\nAnswer: -320a460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 31, 42?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 - 21*v**2 + 8*v - 67. Give c(7).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*t - 1586, 2*t - 1592 = -61*h + 57*h. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 - -319 - ((-66 - 1) + 2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -10725\nAnswer: -53625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 + 33*c**3 + 2*c**2 + 172 wrt c?\nAnswer: 24*c + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(171) + -2 + sqrt(171) - sqrt(171))**2.\nAnswer: -12*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -4, -2, -171?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6267754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*1.27\nAnswer: 0.04445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-2 - -1)\/(30\/90) + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 1, 1427 in descending order.\nAnswer: 1427, 1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 3*y**2 - 3*y**2 - 2*y + 2*y - 5*y**2 + (4 + 2 - 5)*(0*y**2 - 2*y**2 + y**2) + y**2 - 4*y**2 + 6*y**2 + y - y + 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, r: 7}. What is prob of picking 1 i and 3 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 5*h - 1239, 4*h = 3*v + 1876. Is 2\/5 + 4 + v\/(-20) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41*y + 134. Determine k(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qymp when four letters picked without replacement from pmwwqmmwmmwpwmmy?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2754450?\nAnswer: 2754443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000132002 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) - (-2)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Suppose b + 8*l = 4*l + 30, -4*l = -i*b + 10. Suppose b = g - 2. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10312 (base 5) in base 14?\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6 - 157*g**3*i - 92*g**2 + g*i + 1 wrt g.\nAnswer: 120*g**3 - 942*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.081 * -0.06.\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -20, 4*u + 69 = 3*x - 67. Let j be (-1)\/u*(2 - 3). Is 1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 777.0763l?\nAnswer: 777076.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 2*p**2 - 2*p - 1. Suppose h = -3*l + 4*h - 6, 0 = -4*h. Let b be r(l). Suppose b*x = 27 + 3. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 15.91. Let i = -0.39 + j. What is the nearest to 1\/4 in 1, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2902*u - 156718. Give a(54).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 373 + 369 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:38 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23741417 is divided by 927.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(28)\/sqrt(4) + 1)*-6 + ((sqrt(77) - (sqrt(77) + sqrt(77)*1 + sqrt(77)))*1)\/(sqrt(132)\/(sqrt(300) + sqrt(12))))**2.\nAnswer: 2160*sqrt(7) + 25524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0.3 (c) 2\/41 (d) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Suppose -8 = -35*r + 31*r. Suppose -17 + 3 = 4*p + r*o, 4 = 4*o. Put h, 4, p in increasing order.\nAnswer: p, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - 6*c - 3*c**2 + 3*c**4 - 2*c**3 + 4*c - c**4 to a + h*c**2 + r*c + n*c**4 + y*c**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 69717904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 2*m + 16. Suppose 3*d - m*q = 83, -4*q + 125 = 5*d - 8*q. Suppose -j = -4*j + d. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 2.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + s + 68, 12*s - 28 = -g + 15*s. Suppose -3*u - 34 = -217. Calculate the remainder when u is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2784063, -2784062, -2784063, -2784066?\n\"Answer: -l**2 + 4*l - 2784066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1523\/8 - -198. Let m = -28 - -132\/5. Find the common denominator of h and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 750*v - 19. Let s be (2 - 1) + (4 - -3). Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 4*c**2 + 2*c + 2. Calculate k(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let n be v(0). Which is the second smallest value? (a) 3 (b) 28 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -847\/8? (a) -0.1 (b) 1\/5 (c) 5\/4 (d) 0.5 (e) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)*2 + 4*(sqrt(70) + sqrt(70)*3))\/(sqrt(1210)*1 + sqrt(10) + 2*sqrt(10)*3).\nAnswer: 11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.37624 * -1041\nAnswer: -391.66584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 1\/108*j**6 + 0*j + 4\/27*j**3 - 1\/945*j**7 - 2\/27*j**4 - 43*j**2 - 1\/1512*j**8 + 0 + 1\/270*j**5. Factor h(v).\nAnswer: -2*(v - 1)**3*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 18*r = 0. Suppose -3*t + 208 + 284 = r. Suppose 0 = -u - 30 + t. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509.1915 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47c3537 + -c?\nAnswer: 47c3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 402 = 4*j, 0*q - 3*j + 576 = 3*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (704\/90 - 1). Let i = -38\/5 - u. Let w = 0.01 + -0.41. Which is the closest to i? (a) -1 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4685*b + 1628*b + 3116*b in the form w*b + x and give w.\nAnswer: 9429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -76, 3, -421 in ascending order.\nAnswer: -421, -76, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -99.86. Let g = z - 1.1511. Round g to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*g + 7*g + g - 2*g + (-2*g - g + g)*(3 - 5 + 4))*(3 - 4 - 1).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3325 - 0.0025. Round j to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**3 + 6*f**2 + f + 5. Let g(h) = 20*h**3 - 17*h**2 - 3*h - 14. Let x be (16 + -14)*(8 + (-5)\/1)*-1. What is x*g(o) - 17*l(o)?\nAnswer: -o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -0.02. Let x = l - 26.26. Let i = 198.9 - 199. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1519 + 1153. Which is greater: i or -367?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79856479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -9*j + 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415499?\nAnswer: 7, 59357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -19. Put 0, y, 1.2, -2 in descending order.\nAnswer: 1.2, 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35*3\/(-60)*(-8)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16651 + 1323 = -1634*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/48559, 2\/11, -1, 2\/15, -2\/9 in decreasing order.\nAnswer: 2\/11, 2\/15, 2\/48559, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b32a4 - -423?\nAnswer: b3707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let x = 1 + y. Suppose -2*d + 4 = -d. Solve p + 3 = 0, -x*o + d*p - 3 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 3*d. Let a be r(2). Let f be ((-4)\/3)\/((-3)\/45). Calculate the greatest common factor of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -652 + 620. Let m be 1 + (2\/s)\/((-5)\/(-70)). Factor -m*z**2 + 1\/8*z + 3\/4.\nAnswer: -(z - 3)*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26809434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 46. Which is the second biggest value? (a) 1\/2 (b) 1\/3 (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p + 2609 = -100*p + 684 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-7))\/((13 + (-5352)\/420)*5). Let m = 2 - 2.2. Which is the nearest to m? (a) 5 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1592\/(-340) + (-8)\/68. Let i = -173\/35 - m. Sort i, -0.2, 0.03, -0.5 in ascending order.\nAnswer: -0.5, -0.2, i, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617776372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*l + 60*l + 4 + 7*l**2 wrt l?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 v, and 1 u when four letters picked without replacement from {u: 2, w: 1, m: 8, q: 1, v: 7, a: 1}?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164.2303 rounded to 1 decimal place?\nAnswer: -1164.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (344 - 0)*-1 + (51 - 52). Is 4667\/23 - 30\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -0.04 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 8007 + 13175 = 4*w. Solve -205 = -88*l + w for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -3357*n**2\/2 + 11382*n - 6213. What is the first derivative of d(z) wrt z?\nAnswer: -3357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(1539) + 4 + 1*-2*sqrt(1539) + -4*(-5 + (sqrt(1539)*2*-1 - sqrt(1539))))**2.\nAnswer: 4158*sqrt(19) + 186660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 24) + -2)*9\/(-15). Let a be 3*(20\/l)\/2. Solve 3 + a = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229787 is divided by 28696?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0213242217 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -60. Suppose -3*g + w + 4 = v, -4*g - 43 = w. Let a = 3 - g. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4808 + -4797. Solve 5*j + q = -5*w + 6*j, 3*j + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*12\/16*(-36)\/(-27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.07 + -0.5.\nAnswer: 7.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, 12.\nAnswer: -3, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 92. Let g = -24 + v. What is the biggest value in 2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6143.\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/1738, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -261385.684 and 0.2?\nAnswer: -52277.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m + 203 = 3*s, 5*s - 341 = -m. Calculate the greatest common divisor of s and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12 + 2*y**2 - 16*y + 4 + 8. Let h be o(8). List the prime factors of h\/((-8)\/(-8)) - (-206 + 1).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 14\/28*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3151*n - 7422*n + 3596*n + (-2*n + 4*n + 7*n)*(4 - 2 + 0).\nAnswer: -657*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127627 - -240?\nAnswer: -127377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003098026 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2169, -2162, -2153, -2142, -2129, -2114, -2097?\n\"Answer: a**2 + 4*a - 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, l: 13}. What is prob of picking 2 l and 1 e?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*q**2*s**3 + 3*q**2*s + 96*q*s**3 + 2*q*s**2 + 2*q + 2*s wrt s?\nAnswer: -90*q**2*s + 576*q*s + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h + 10 = -2*z, -5*z + 3*h + 13 = 0. Suppose 270 = z*d - 290. Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 694638651303.\nAnswer: 694638651299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o = -21 - 27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/10 + 15*k**4\/2 + 594*k**2 - 301*k. Differentiate r(y) wrt y.\nAnswer: -6*y**2 + 180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -33, -31, -9, 39, 119?\n\"Answer: i**3 + i**2 - 22*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w**2 + w + 5. Let h be q(5). Suppose 14*r - 2328 = -h*r. Calculate the remainder when r is divided by (-15)\/(0 + 9\/(-12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -22. Differentiate y - 16 + 2*l**2 - 2*l**2 + 5*l**4 with respect to l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 1\/6*w**3 + 0 + w + 8*w**2. What is the lowest common multiple of i(-4) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5237*r + 5244*r + 5341*r - 15816*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9164 is divided by 399.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -73, -67, -59, -49, -37?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56507 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*u, -5*i - u + 390 - 34 = 0. Let d be 2\/(-3) + (-24)\/i. Which is the third smallest value? (a) -4\/7 (b) d (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 484\/585 - 73\/45. Let j = z + 6\/13. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 741925.424 to the nearest one thousand.\nAnswer: 742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1711053341 rounded to four decimal places?\nAnswer: -0.1711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:06 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, 1874, -178, -1, 5 in decreasing order.\nAnswer: 1874, 5, 4, 2, -1, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 21 (b) 0 (c) -0.2 (d) -103\/69 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 9321 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411 + 411.1328. Let b = j - 0.1014. Round b to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = 11*v + 20, r - 13*v + 54 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-3) - 2 - -3. Suppose -2*o = g*o. Suppose -3*j - 5*f - 5 = -4*j, o = -5*j + f - 23. Which is smaller: -9\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1106\/(-140))\/(-79) + 12\/30.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6371084?\nAnswer: 2, 61, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14973 + -9879. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 1128644*d\/3 - 318459319684\/3.\nAnswer: -(d + 564322)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-28) + 3\/(-42)*46?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**2 - 14*y + 95. Let k(m) = -12*m**2 + 16*m - 96. What is -6*k(v) - 7*q(v)?\nAnswer: 2*v**2 + 2*v - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*z + 59 = -186, 0 = 4*b - 2*z - 210. Suppose -b = -3*o + 5. Suppose 13 = 3*q - o. Calculate the highest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 4*x - 4. Let l be n(-2). Suppose l*t + t = -4. Put t, 3, -1 in descending order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 445.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -782 divided by -160567?\nAnswer: 782\/160567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. Let i = y - -4. Suppose -i*n - 3*n = 0. Is n at least 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*o - 799 - 494 - 63 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1794 = -3*c + 3*j, -9*c - 2*j = -6*c - 1774. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 2*a**2 - 4*a**2 + (-a + a + a)*(-3*a + 2*a - a) + 2020 - 93*a**2 - 2020 + (-3 + 1 + 3)*(0*a**2 + 0*a**2 - a**2).\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {u: 2, m: 1, o: 3, v: 4, w: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 66, 96, 126, 156?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10*p = -60. Suppose -4*t = 4*d - 188, -p*d + 135 = t + 2*t. Let q = t + 0. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -73. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.8 - -88.2. Let z = t + -133. Which is greater: z or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s + 31 = 1, -3*u + 2*s + 25 = 0. Put -2, -263, u in descending order.\nAnswer: u, -2, -263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082425597 to the power of 1\/2, to the nearest integer?\nAnswer: 32900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/93)\/((-22)\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) 1 (c) -14 (d) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -25*a**2 - 90*a + 40 = 0?\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*(-69)\/345?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1807 (b) -1.243 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -3*f**2\/2 + 1168. Let g(d) = -536*d. Determine g(p(c)).\nAnswer: 1608*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unbnbubb. Give prob of sequence bnbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.15 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1745 = 725. Suppose -i + 5*i - q = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/2679 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**3 - 4*k**2 + 7*k. Let q(w) = 2*w**3 + w**2 - 2*w. Suppose 140 = 31641*a - 31651*a. What is a*q(b) - 4*f(b)?\nAnswer: -4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**8\/1176 - 22*o**7\/735 - 47*o**6\/420 - 4*o**5\/35 - 1340*o**2. Let a(s) = 0. Calculate s.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 30*k**2 - 2*k - 18. Let t = 77 - 79. Let j(c) = -121*c**2 + 8*c + 71. Let u(n) = t*j(n) - 9*x(n). What is the derivative of u(s) wrt s?\nAnswer: -56*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.67, 0.04, 267, -3, -0.07?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (0\/(-1) - -1). Let a be 13648381\/j - (-2)\/(-12). Suppose -v - 474730 = -a. Round v to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = 2*t - 8, y - t + 4 = 0. Let r(o) = o + o**2 + 10 - o**2 + o**2 + o**3. List the prime factors of r(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 11*h + 16. Let y be u(12). Let v be (-2 - 1) + 6 + y. Solve -3*p - 4*i + 4 = 0, v = 2*p - 3*i - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -7*p - 164 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p - 26. Let g be h(-7). Solve 0 = -4*s - 2*f - 10, 3*s - 2*f + 15 = g*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 8*o + 5. Let j = 3 + 33. Let t = j - 21. Suppose -2*g + z = 11, 0 = 3*g + 4*z - t + 37. What is f(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6718.492695 to one dp.\nAnswer: 6718.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**5 + 2*o**3 + 161660*o**2 - 13*o - 1277 wrt o?\nAnswer: 20*o**3 + 12*o + 323320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*x - 3 = -1, -2*x - 3 = -3*r. Let c be (13\/(-2))\/(r\/(-2)). Solve 4 - c = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 899013?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 255\/8? (a) 1 (b) -4 (c) -2\/153 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-1)\/(-2)*2. Let i(a) = a + 7. Let r be i(d). Let l(v) = -v**3 + 3*v**2 + 5*v. Is l(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from ycyhyhcynyy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:47 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 25*n**2 - 2*n + 3. Let z(w) = 2*w**3 + 26*w**2 - 3*w + 5. Let a(i) = -3*r(i) + 2*z(i). Give a(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n. Suppose n = -5*p + 2*p + 18. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)*(l*l**(3\/5)*l)\/l assuming l is positive.\nAnswer: l**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23252021 (base 6) to base 16.\nAnswer: b058d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + 2 + -16 + 1 + -3 + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -470947.\nAnswer: -470958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200))*-1 - ((sqrt(32)*-5)**2 + (-2*sqrt(8))\/sqrt(4)) - (-2*sqrt(352))\/((-3*sqrt(121))\/sqrt(11)).\nAnswer: -800 - 32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from cxidlfi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*2 + sqrt(12))*4)\/(-4*sqrt(4)*2).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/56*-8*(-10)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5 = 3*q, q + 4*q + 4*u = 33 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 36 - 19*v - 37 - 33 + 139 - 53.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 195 - 196 = 0. Let u = 433 - y. Calculate the smallest common multiple of 28 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/26*236\/(-295)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1190.33 + -233.33. What is the second smallest value in -5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/15 - (-5)\/(-30) and (-108)\/140 + 2\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 8*i - 3. Let u be r(5). Let v be (2\/3)\/((-16)\/(-2670)). Let t = v - u. Which is smaller: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -9*c**5\/20 - 3*c**3 - 15*c**2\/2 - 16. Let q(l) be the second derivative of y(l). Find the first derivative of q(o) wrt o.\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 40*q - 71. Let o be p(-38). Let j(h) = -h**3 + 7*h**2 - 8*h + 10. Let n be j(o). What is the greatest common factor of 32 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -29. Solve -3*x = l*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(36855\/(-2470))*3.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -25. Suppose -2*h + 18 = 2*a, h = 6*h + 4*a - 44. Suppose 5*x - 20 = 8*o - 3*o, -d*x - 4*o = -h. Solve -20 = r + x*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871769.1 years to millennia.\nAnswer: 871.7691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 34, 46, 58, 70?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.29808 days in microseconds?\nAnswer: 3395354112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14858 (base 9) in base 16?\nAnswer: -27c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - q**2 - q. Let w be v(-1). Let d(g) = g + 6. Let m be d(w). Calculate the common denominator of m\/(-3) - (-202)\/(-24) and -85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(102))\/((sqrt(12) - sqrt(12)*2)\/sqrt(2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1) + (-204)\/(-102). Suppose x + 42 = 6*x - t*j, -2*j - 6 = 0. What is the smallest common multiple of x and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a decade in years?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*b - 5*t, 4 = 5*b - 2*t + 9. Is (-3 + 1)\/(b\/(-176)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 5*i + 4. Let t be b(-6). Let f = t + -1. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:31 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*i - 64*i - 1239 - 67*i to the form l*i + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from zzuzzquzzqqzzqzq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*g = -5 - 0, -5*g = 0. Let w(j) = -j**3 + 5*j**2 + 5*j + 5. Let b be w(6). Let d be b*2\/(-21)*-3. Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 56. What is the greatest common factor of s and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let x = -271\/24 - -34\/3. Let p(u) be the third derivative of 2*u**2 + 0*u**3 + 0*u + 0 + x*u**4. Calculate p(f(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 14) to base 4.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/570 and -79\/1910.\nAnswer: 108870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 88\/33) + (-5)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**3 + b**2 + 3*b - 2. Let v(d) = d**3 - d**2 + d - 1. Let c(a) = -k(a) + 3*v(a). Let p(s) = 5*s**3 + 6*s**2 + 2. Give 8*c(y) + 5*p(y).\nAnswer: y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 458826197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 - 5. Let u be 3 - 2\/((-2)\/(-13)). What is the remainder when 5\/u - (-75)\/2 is divided by z(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 + 5. Let h = 8 + -9.2. Let y = h + 3.2. What is the smallest value in p, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t + 5 - t - 2 - 8. Let r(h) = -h. Determine r(u(q)).\nAnswer: 12*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502 a factor of 599244012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z = -4*f + 18*z + 26, 3*f - 3*z - 27 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5*n + 45*m**4*n**3 - m**2*n**3 - 86*m**2*n**2 wrt m.\nAnswer: 120*m**2*n + 1080*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 269.4536 nanoseconds?\nAnswer: 0.2694536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-84))\/(14\/4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -0.2 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 3*z**2 - 1. Let w be i(1). Solve 2*g + w*m = -0 - 2, -4 = 4*g + 2*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a + 3)*(0 - 4 - 7)*(-4 + 1 + 4).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*p*q - 56689960*p - 18313*q wrt q?\nAnswer: 67*p - 18313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161877473 to the power of 1\/2, to the nearest integer?\nAnswer: 12723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -0.1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1149\/9 - (-1)\/(-6)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-3 - 1*-8). Let y be -3 - -2777704*(-1 - -2). Suppose r*m + 1017726 = 4*c + y, -4*m = -2*c - 879980. Round c to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 100.131 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9492 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) -2 (b) 1 (c) -0.4 (d) 0.5 (e) -15 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18317 - 18309. Let g(t) be the second derivative of 1\/108*t**4 - 2\/27*t**3 + w*t - 5\/18*t**2 + 0. Solve g(k) = 0 for k.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -963283*p**2 - 3358*p**3 + 3384*p**3 + 1926570*p**2 - 963287*p**2.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 13. Suppose 0*j - 4*j = -3*b + 28, 5*b = -5*j. Let u be c(b). Sort u, 19, -5 in descending order.\nAnswer: 19, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61\/3 + -21. What is the nearest to -1 in -1\/3, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 - 11.157337776.\nAnswer: -13.657337776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.92841 decades to centuries.\nAnswer: 2.092841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2400510?\nAnswer: -2400504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853110562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 373*n - 2. Let o be s(2). Let j be o\/36*(-6)\/4. Let i = 19 - j. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380621 is divided by 3767?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**4 - 3*g**4 + g**4)*(-16 + 39 + 19) to o*g**2 + c + r*g**3 + w*g**4 + f*g and give w.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*u - 5 + 4 - 1)*(-2 + 0 + 3).\nAnswer: 29*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2227685 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -11.\nAnswer: -11, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 367 * 180.9\nAnswer: 66390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2656 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3028 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1 - 6*x + 9*x**2 - x + 3*x - 29*x**2 + 16*x**2 + x**3. Give t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/44 + (-35)\/(-11). Suppose -2*d = -d, -z*i - 3*d = 0. Suppose i = -5*t + 3*t + 10. Solve -5*a = -2*u - t, -a + u + 13 = 3*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*d - 2*d**3 + 19*d - d - 2*d**3 + 3*d**2 - 3*d**2 + (-3 + 30*d**2 + 3)*(2*d - 1 + 1).\nAnswer: 56*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 10. Let b be t(8). Suppose u = -4*u - b. Let w = 8 + u. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*b = -b - 362 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 7*k**2 - k - 7. Let b be t(-7). Is -12 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8 and ((-166)\/4)\/(-12 - -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 17. Suppose -3*z = -r - 545 - k, 3*z - 5*r = 608. List the prime factors of z.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 80405*q - 723658. Determine o(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 5 - 5)*(-1 + 2 - 26)*(4*w + 4*w + 2*w).\nAnswer: -250*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 590*(-5 + (-35)\/(-10)). Let s = d + -881. Solve -s*b + 4*b + 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 4*r**6\/5 - 43*r**3\/6 + 30*r. What is the second derivative of t(k) wrt k?\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 391*l**3 + 417905*l**2 + 64677225*l.\nAnswer: -l*(l - 921)*(l + 265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -84. Suppose -l = -5*t - 6. Solve -4*m + 2*i = 5*i - 11, 4*m - 2*i = t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 51 = y. Let d(u) = -u**2 - 19*u + 1. Let v(x) = x**2 + 19*x. Let l(o) = -3*d(o) - 4*v(o). What is the units digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152686150*z**2 - 152686140*z**2 + 305372347*z**2.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5090*c - 9812*c + 47497*c + 20412*c.\nAnswer: 53007*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11522 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -54. Let f = 17 + k. Which is smaller: f or 9\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.1, 118, -4, -1\/6, 4 in increasing order.\nAnswer: -4, -1\/6, -0.1, 1\/7, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413015 divided by -15305?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6*n - 9*n - 27, -5*n = -4*l + 41. Solve w + 20 = -4*i, l*w + 12 = -0*i + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + 1.37. Let q = 1.73 - s. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 44 = -2*v, 5*c + 3*v + v = -6*v - 6 + 1 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 8*b - 19. Give y(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, w: 8}. Give prob of sequence wwwm.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.084 + 0.084. Which is the nearest to -6? (a) f (b) -1\/4 (c) 4\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1508102788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020897504262 minus -15?\nAnswer: 14.979102495738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221515 (base 10) in base 16?\nAnswer: 31280b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3*8\/24)\/(5\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1543*m**2 + 18*m - 18. Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(84)\/(3*sqrt(1200)))**2.\nAnswer: 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544660.9 millennia in decades?\nAnswer: 54466090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 divided by 86?\nAnswer: 239\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let i be z*9*(-4)\/(-12). Suppose 0 = -2*w - i + 43. Solve 2 = a, -4*a = 5*y - 2*y - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/4963 and -25\/8?\nAnswer: 39704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 390*g + 91. Let a(h) = 17*h + 4. Let q(x) = 91*a(x) - 4*t(x). Let v(i) = -77*i. Let c(n) = -35*q(n) + 6*v(n). Let m(b) = b**2. Give c(m(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 0 = -5*p - 3*g - 10, p + 4 = -l*p - g. Let r(a) = -13*a - 80. Let q be r(-6). Sort p, -4, q in increasing order.\nAnswer: -4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -76. Solve 4*r = -f*g - 2, 0 = -3*r + 4*g - 3*g - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1513 + 51?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 96 - 99)*(2*a**2 + 0 + 0)*(-a + 2*a - 2*a).\nAnswer: 302*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 21*b**3 - 24*b**2 + 3*b + 7. What is the derivative of p(j) wrt j?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 8.9130597?\nAnswer: -26.7391791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10310, -10458, -10606?\n\"Answer: -148*m - 10162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {k: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 158 = -4*s + 2, -2*y + 4*s = 100. Let o = y - -70. Suppose -o*x + 816 = -644. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 1 - 5. Let r = 2 - l. What is the smallest common multiple of (11 - r)\/((-3)\/(-6)) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3738794929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*f**2 + 108*f**2 + 128*f**2 - 132*f**2 to the form j + k*f + w*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 3*x**3 - 7*x**3 + 2*x**2. Let m be f(-1). Solve m*u - 1 = 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**6\/40 + t**3\/2 + 3*t**2\/2 + 4*t. Let m(n) be the first derivative of z(n). Differentiate m(h) wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296462477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 966613 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (3470\/300 + 3)) + 3\/45.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*i + h - 32, -3*i = -4*h - 28. Suppose -4*j = j + d - 12, -j + 15 = -i*d. Suppose j*c = 126 + 231. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1947586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 48 + 122 = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1445192 decades in millennia?\nAnswer: 0.001445192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + h)*(-1662*h - 719*h - 235*h).\nAnswer: -2616*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9556.041 millennia?\nAnswer: 114672492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5 - 3 + 587*j**3 + 4 + 1251*j**3 to the form w + u*j**2 + m*j + z*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l**2 + 4. Let q = 5 + 0. Let z be h(q). Let y(w) = -w**2 + 3*w. Let r be y(3). Solve -2*a - 8 + z = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 1. Let j(n) = 9*n + 3. Let m(u) = -2*j(u) - 5*y(u). Suppose 5*i + 35 = 5. Let c = i + 9. Let w(l) = -l + 1. Determine c*w(x) + m(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t**3\/4 - 19*t**2\/2 + 2*t = 0.\nAnswer: 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 60, -0.1, 0.1 in ascending order.\nAnswer: -3, -0.1, 0.1, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 59 + 12*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22*o + 717. Is 19 a factor of x(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -138*z**2 + 3*z - 36. Let m(v) = 3*v**2 - v + 9. What is d(s) + 4*m(s)?\nAnswer: -126*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = l - 2*l. What is the highest common factor of l and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6738916t?\nAnswer: 673891600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 480 - 480. Solve -5*j + 5 = o, 10 + 5 = 5*q - 5*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5996)\/6)\/((70\/(-75))\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*z + 11 - 44 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 168\/9*(-312)\/(-546). Is -5\/14 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 plus -0.08263974?\nAnswer: -2000.08263974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 6*z**2 - 3*z - 5. Let c(f) = 2*f**3 - 5*f**2 + 2*f + 4. Give 5*c(i) + 4*y(i).\nAnswer: -2*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 402187, 402189, 402191, 402193, 402195?\n\"Answer: 2*t + 402185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307287789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340107.\nAnswer: 3, 73, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -36*a + 14. What is f(3)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -2.6?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o - 184. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:47 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*w - 2. Which is smaller: w or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 3*g - 173*g**2 + 171*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.03. Let k = u + 0.06. Which is the nearest to k? (a) 5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 9615*y**2 - 218026125*y + 435422165625.\nAnswer: 5*(y - 3225)**2*(y + 8373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 1, z: 1, k: 1, c: 1, b: 1}. What is prob of picking 1 i, 1 z, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9*(-6)\/(-16))\/(4\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*y - 14548 = -91*y + 1424 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 110366475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000181 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*y + 9 = -0*q, 4*y = -3*q - 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11620 divided by 140.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31\/45 + 1\/45. Let t be (6\/(-20))\/((-24)\/10). Let s = 1.4 + -1.5. Which is the nearest to s? (a) 0.4 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562260?\nAnswer: 2, 3, 5, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4e9 (base 16) to base 11\nAnswer: a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 9, -90, -315, -708, -1311, -2166?\n\"Answer: -7*r**3 + 34*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -18\/5 (b) -4 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 23 + 50 + 10083*i.\nAnswer: 10083*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*a + a. Suppose 3 - 48 = -5*s. Let l = s - a. Solve l*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + b + 2, -b - 2 = 5*y. Suppose -2*m = -y*m - 28. Suppose h = -h + m. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8014.7 - -8015. Which is the closest to 0.1? (a) 1\/44 (b) -16 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84966 < 84966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 24 = -3. Solve 0 = -i - j*s - 3 - 12, -3*s = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1130 by 13.\nAnswer: 1130\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -6*l**2 - 217. Let h(q) = 15*q. Give p(h(f)).\nAnswer: -180*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038.8984 rounded to zero decimal places?\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -1367, -2887, -4909, -7373, -10219?\nAnswer: -13387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*k + 22207, 0 = -i + 5*k + 2701 + 2872. Let b = -44449\/8 + i. Calculate the common denominator of b and -55\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4058\/75 + -111\/25. Which is smaller: x or 50?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 4*z**3 - 19)*(-2*z + z + 0*z)*(-3 + 3 + 2).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -47, -0.1, -0.3, -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 317, 728, 1293, 2006, 2861?\nAnswer: 3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 630*m**2 + 2*m**4 + 318*m**2 - 11*m**3 + 8*m**3 + 310*m**2 as s*m**2 + j*m**4 + t*m**3 + u + d*m and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 3613 = -116*w + 14836 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 16*o**2 - 24*o + 23. Is q(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1963\/30 + -208\/3. Find the common denominator of b and 87\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -102, -185, -268, -351, -434, -517?\n\"Answer: -83*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 5, -0.4, -0.5, -0.027862 in increasing order.\nAnswer: -86, -0.5, -0.4, -0.027862, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -893424 divided by -37226?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urqgfkf. Give prob of picking 1 f and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 3*g - g + 0 + 0 + (1 - 1 + 2)*(g - g - 2*g) + g - g - 4*g + 0*g - 3*g + g in the form q + r*g and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -120?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11839892?\nAnswer: 2, 31, 95483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 8:34 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l + 4. Calculate t(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 - 7*z + 12. Let w be j(5). Suppose -4*q + 4*y + 164 = 0, 0 = -2*q - w*y + 22 + 64. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 7*p**3 - 2*p**2 + 7*p**3.\nAnswer: 7*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1 - -3) + -839. Let h be (n\/(-3))\/(-2 + 1). List the prime factors of 4*2\/((-24)\/h).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 8*m + 10. Let j be (-33)\/(-66)*(1*11 - 1). Let r be g(j). Let o be (r\/(-20) - 5\/(-4))*32. Calculate the highest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17805*p - 178036. Calculate c(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13533 and 1233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -10434?\nAnswer: 10440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*c - 598 = -3*k - 477 - 383, 2*k + 4*c = -66 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9213979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 821, 802, 773, 728, 661?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 15. Let g(q) = 3*q**2 - 3*q - 6. Let a be g(l). Suppose 4*f + 36 = a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 8. Put d, -1, -5 in decreasing order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 2. Let b be o(-3). Suppose 19 = b*a - 41. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - (42 - 39) - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 8 = -4*n. Let u = -25 + 17. Let x = n - u. Solve -12 = x*a, a + 3*a = 5*q - 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -174783 bigger than -174781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, m: 1, g: 1, s: 2}. What is prob of picking 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 6*b**2 - 4*b - 1. Suppose 2*n - 10 = -4*i, 4*i = 2*n + 33 - 3. Let f be v(i). Solve 6 = -3*r, -f*d - 2*r - 1 + 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 434122.7m?\nAnswer: 434122700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26151*o**3 + o**2 + 72674*o**3 - o**2 - 15518*o**3.\nAnswer: 83307*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46653542893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13907)\/17136 - (-5 - -5). Let u be -1*(-2141)\/1071 + -2. Let g = u + l. Calculate the common denominator of g and 67\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127833616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984633.8 micrograms to tonnes.\nAnswer: 0.0000009846338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s - 11. Suppose 9*l = 6*l. What is w(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**3 - d**2 - d - 1. Give l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2*z**2 + z**2)*(-2 - 2 + 2) + (z - 6*z + 4*z)*(3 - 3*z - 3) - z**2 - 4*z**2 + 4*z**2 + (0 + 0 + z)*(0 + z + 0) - 2*z**2 - z**2 + 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201294368 and 2816.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 766\/8 + 1\/4. Does 12 divide (2\/4)\/(4\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - 74) + (-21 - 5).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -89*2.63\nAnswer: -234.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 44*y + 40.\nAnswer: 4*(y + 1)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 20*y**5 - 80*y**4 + 32*y**3 + 128*y**2 + 64*y + 12. Suppose c(i) = 0. Calculate i.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdd when three letters picked without replacement from {q: 2, d: 4, t: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -96. What is the lowest common multiple of g and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34223333 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -775588878\/5 or -155117775?\nAnswer: -775588878\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234410656 to the nearest integer?\nAnswer: 15310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/14*244\/183)\/((-10)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*l**4 + 4*l**3 + 4665*l.\nAnswer: 4428*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -132*b - 21. Is h(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11927*g - 119124. Calculate b(-10).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/138 and 41\/9?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89511 + -35066. Let r(f) = -54441 + t + f**2 + 7*f - 2*f**2. Calculate r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 v when four letters picked without replacement from {d: 1, x: 7, z: 5, v: 5}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*l - 11 + 31 = 0, 4*v = 3*l + 54. Find the common denominator of 25\/56 and ((-217)\/196 - -1)*664\/v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00357 rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 525\/28316 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 - 119. Solve -5 = -0*r - y*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:03 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 61 + 65 + 78 + 630*z.\nAnswer: 630*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a day?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s - 11*s = 60 + 6. Find c such that 3\/5*c**3 - 3\/5*c + 3\/5*c**s - 3\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 - -207. Put 0.82, -6, b in decreasing order.\nAnswer: b, 0.82, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*k**3 + 1\/9*k + 1\/9*k**2 - 1\/9.\nAnswer: -(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 172946 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19386767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/(-4)*(-2)\/(-1). Suppose 5*r - k = 3*h, -4*h - 24 = 3*r - 6*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) - 2\/(-6). Suppose -3*q + 6 = -b. Solve q*v + 2*r - 1 = -11, -7 = v + 2*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6370 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - 0.3. Let i = c + 2. Let j be (-300)\/84*12\/(-10) + -4. What is the closest to 1 in i, j, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-45)\/(-20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/6)\/((-11)\/33). Let v = -838\/21 - h. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) -3\/8 (c) 3 (d) 5.8 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by -142217.\nAnswer: -477\/142217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 133?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*o**2*t**2 + 341*o - 2391*t**2 - 2*t wrt o?\nAnswer: 14*o*t**2 + 341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d + 57. Let n be j(4). Let g = -33 - -42. Let c = -9 + g. Solve y = r + n*y - 1, -4*r - y + 4 = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*o - 0*o. Let m = o - -12. Suppose -x = 3 + 2, -x = m*u + 13. Which is the second smallest value? (a) 0.1 (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.71 - -4. Let n = 0.31 - r. What is the biggest value in 2\/7, n, -1, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -311 - -329. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 + -1) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let k(h) = -4*h - 11. Let w be k(-3). Let u(v) = 18. Let i(g) = w*u(g) - 5*r(g). List the prime factors of i(9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -153e9b8 + 5?\nAnswer: -153e9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/141? (a) 141 (b) 2\/11 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0*z**2 - 3*z - 12 + 6 - 5*z**2 + 2 + 3. Determine a(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124\/(-2)*1\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, 12, -5, -4\/7, 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156917 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41 - (-40)\/(-8))*-2. What is the highest common factor of 115 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1590*w + 100 - 1596*w + 73 + 0 + 3177*w.\nAnswer: -9*w + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5554027 + -0.56825. Round m to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = 24. Let q = 11 + t. Let g = q + 6. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14994 - -20?\nAnswer: -14974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/2503802 or 0?\nAnswer: 17\/2503802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/3 + 12*h**2 + 86*h\/3 - 40 = 0. Calculate h.\nAnswer: -3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4208.31 decades?\nAnswer: 504997.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1997.\nAnswer: -8\/1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2307*c - 7672405. What is h(-1847)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 3.4. Let s = -3109\/5185 + 147\/305. Which is the second biggest value? (a) s (b) v (c) 9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/(36\/(34560\/(-30))).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {p: 3, n: 3, m: 8, y: 3, b: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -283 - -286. Find the third derivative of 135*n**2 - 6*n**3 - 19*n**3 - 12*n**t + 25*n**3 - 26*n**3 wrt n.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 2.93. Let i = -8 + 5. Put i, -5, v in ascending order.\nAnswer: -5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 20. Give u(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 47, 1 in increasing order.\nAnswer: -277, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 24 = -28. Let w(b) = 30*b + 12. Let z(h) = 150*h + 59. Let d(v) = y*z(v) - 11*w(v). Find the first derivative of d(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*l + 5*l + 168 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125843 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) -15 (c) -91 (d) 40 (e) -7 (f) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - o + 1. Let a(r) = r**3 - 4*r**2 + 4*r. Let i(y) = -a(y) - 2*s(y). Is 6 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134023 divided by 1791?\nAnswer: 134023\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 160478 + l**4 + l**2 - 5*l**2 + 160480 as k*l**4 + v + a*l**2 + p*l + h*l**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153801 and 187979?\nAnswer: 1691811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99603\/16 or -6224?\nAnswer: -99603\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66\/85 + 3937\/1020. Let h = 173863\/14 - 12425. Find the common denominator of h and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))**(-3\/23)*((t**(-2\/3)\/t)\/t)**(-45) assuming t is positive.\nAnswer: t**(5517\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -8. Put a, 4, 2 in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/((sqrt(40) + (sqrt(40) - sqrt(80)\/sqrt(2)))\/sqrt(10)))\/(3*(sqrt(11)*-1*3 - sqrt(11))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130170071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256160 is divided by 1376?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(637) - 6*((sqrt(637) - (0 + sqrt(637))) + sqrt(637))) + sqrt(637))**2 + (6*(1 + sqrt(1300) + sqrt(1300)))**2 + -2.\nAnswer: 1440*sqrt(13) + 197423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:57 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Suppose 0 = r*q - 0*q - 174. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6870762, 6870761, 6870760, 6870759, 6870758, 6870757?\nAnswer: 6870756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 199*g - 9310. Give j(-126).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*w, 2*w + 12 = 5*q - q. Let l(d) = -d**3 - 6*d**2 + 6*d - 9. Let p be l(-7). Sort p, 5, w in decreasing order.\nAnswer: 5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:52 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 - 18*v**4 - 137*v**3 + 522*v**2 - 368*v = 0.\nAnswer: -8, 0, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 - 15?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4927640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -85*(-20)\/(-100) + 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2908 - -2930. Solve -o + 0 = -2*x + 11, -5*x - 3*o + k = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/378 and -119\/10.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -d + 951. Let s = d - 349. What are the prime factors of s?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*16\/48 - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*12\/(-36)*(0 + 1). Let t(z) = -z**2. Let y(k) = -7*k**2 - 4*k - 3. Let q(f) = 6*t(f) - y(f). Determine q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 8*z**2 - 17*z**2 + 2*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 130, -282.\nAnswer: -282, -6, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196 or 163?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 9*z - 8. Let y be l(-8). Suppose 3*c = 3*a + 33, -a - 3*c + 2*c - 21 = y. Let i = a - -16. Let f(s) = s**2 - s. What is f(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 352 + 93 = 2*c, -4*s - 5*c = -376. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278437*u**5 - 3*u**4 + 3*u**3 - 12473556*u**2 wrt u.\nAnswer: 16706220*u**2 - 72*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 18*y**2 + 5*y - 2*y + y - 6 - 3*y + y**3. Let p be q(-18). What are the prime factors of (p\/16)\/((-107)\/(-108) + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401128 is divided by 242.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -67 + (-5060 - -5049)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459812?\nAnswer: 2, 139, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*h - 389*h + 58360 = 0. What is h rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 746.0893 years?\nAnswer: 7.460893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*k**5 + k**2 - 1188*k.\nAnswer: 540*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 3724 - 3*d - 1825 - 1899.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -652 (c) 104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.129 + 0.861. Let f = -1 + g. What is f rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169 - 169 - 15*r)*(2*r**3 - 3*r**3 - r**3) + (0*r + 11*r - 3*r)*(-4 + 4 - 8*r**3 + (2*r - 2*r**2 - 2*r)*(0*r + 2*r - 4*r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 93. Let p(o) = -o**3 - 2*o**2 + 3*o - 1. Let d be p(-3). Sort l, 3, d.\nAnswer: l, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178 times -55.9?\nAnswer: -401250.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/5 (b) -2\/13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(45) + 1 - (sqrt(5)*5 + 3)))**2.\nAnswer: 288*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*w = 10, q = -8*w + 4*w + 14. Put 1\/39, -1\/4, q, -3 in descending order.\nAnswer: q, 1\/39, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-5)*c*c)*c*c\/(c\/((c\/(c\/((c*c**10*c)\/c)))\/c)*c))\/(c**(-1\/13)\/((((c*c\/((c\/c**(-1\/16))\/c))\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(419\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 26*u - 640. Give v(7).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 - 7*j - 9. Let y be h(-6). Let m be (y - 0)\/(-1) + -3. Suppose m = -4*v + v + 36. What is the greatest common divisor of 132 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**2 + 27174*f - 10872.\nAnswer: 3*(f + 1812)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23113600 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3245 - 8444?\nAnswer: -b689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 17812.89671 to the nearest ten.\nAnswer: 17810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 1\/4, -0.3, 1\/7, -39\/2, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 99, 103, 107, 111?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -604306, -2417206, -5438698, -9668782, -15107458, -21754726, -29610586?\nAnswer: -38675038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -7*j**5\/5 + 8*j**2 + 121*j + 255. What is the derivative of w(q) wrt q?\nAnswer: -28*q**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 473 (b) 3.74 (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1955245*j**4 + 2*j**3 - 1933228*j - 3 wrt j.\nAnswer: 23462940*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.252*1169359.\nAnswer: 294678.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zzfz.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 19. Solve -m - 4*t = 17, 2*m - 2*t - 3 = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21013 or 18901?\nAnswer: 18901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.11997 millilitres?\nAnswer: 0.05511997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 3364608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4 + 84*v**3 - 156*v**2 + 76*v = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*l - 1051*d**2 + 4*d*l**3 + 28*l**3 - 1859 with respect to d.\nAnswer: -4*d*l - 2102*d + 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 12*v**2 - 27*v - 9. What is the remainder when 100 is divided by t(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67954 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nopk when four letters picked without replacement from kosksksjnnkksssopkk.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 434 - 308. Suppose b = -g + 35. Let o be g\/(-5) + (-8)\/(-10). What is o rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 177*s + 902. Let n be t(-5). Let x = 119 - 86. Solve -10*z - x = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - d + 1. What is the tens digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3) - ((sqrt(48))**2 - sqrt(3))))*4 + 4 + sqrt(108) + 4.\nAnswer: -204 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*w = -476*w + 7410. Solve 5*y + 4*u = -w, -6*y = -5*y - 3*u - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.04 (b) -2\/15 (c) 4 (d) -1\/6 (e) 2\/3 (f) 5 (g) -0.638\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 3. Let n(p) = -336*p + 3 + 1 - 334*p + 663*p. What is -5*n(x) + 6*v(x)?\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -181430591 to the nearest 1000000.\nAnswer: -181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((2272\/(-84))\/((-4220)\/8862))\/((-3)\/15*2)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(-4*y**2 + 3 - 4 + 2*y**2).\nAnswer: 8*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 51 = 5*a - 36, -3*a - 9 = 2*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvv when three letters picked without replacement from {h: 17, v: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93090 is divided by 5817.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -63. Let a be 0\/((-5)\/10*r*2). Let j(v) = v + 15. Determine j(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y - 5*y)*(4 + 0 + 2)*(y**2 - y**2 - 2*y**2)*(-2 + 3 + 1).\nAnswer: 144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - -17. Suppose -f = 2*q - u + 2, -4*u + 132 = -2*q. Let t = q + 100. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 * -0.3\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 14. Suppose -5*i - 5*t - 175 = 0, -5*i + 27 - 166 = -g*t. Let j = 52 + i. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -0.1. Suppose -l = -5*s + 31, 44*s + 3*l = 46*s - 28. Which is the third biggest value? (a) -0.5 (b) j (c) -2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1721+-2.5\nAnswer: -2.3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-98 - -46 - -159).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11456, 2, 5, 31, 0 in descending order.\nAnswer: 11456, 31, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98772 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.6, 2\/3, 1, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 5*l**4\/12 - l**3\/6 + l**2 - 118*l. Let s(v) = -8*v**2. What is s(t(n))?\nAnswer: -800*n**2 + 160*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2707\/78 - -280\/13. Let q = 3226 + -32171\/10. What is the common denominator of q and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(5*(-5)\/(-12575)). Let k = 37224\/37 + m. Let r = 61 + -245\/4. Is r equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n. Let o(d) = -109*d**2. Give o(y(g)).\nAnswer: -981*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 726 + 354 = 0. Suppose 11*z + 300 = 5*z. Let x = z - b. What are the prime factors of x?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 16*r - 7. Let h = 94 + -90. What is the least common multiple of h and j(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 - 2*d + 14. What is x(6)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299387 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6056450067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 40 = -4*f. Suppose 15 = p - 6*n + 5*n, 2*p + 5*n - 23 = 0. What is the lowest common multiple of p and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**4 + 11*i**3 - 6*i**2 - 2*i - 9 wrt i?\nAnswer: 144*i + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/270 - (-6)\/(-4410)*217.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, k: 4}. Give prob of sequence rk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -222232?\nAnswer: 222231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + -0.12. Which is the closest to o? (a) -1 (b) 0.3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/50*50\/270.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*k + 304. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/12 - 2*f**3\/3 + 5*f**2. Let q be a(-4). Suppose 210462 = -q*z - 141538. What is z rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/5620 and -83\/45.\nAnswer: 50580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 37 - (1 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 32 - 0. Suppose -2*j = 2*j - m. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*u - 796*u + 33 - 1413*u - 254*u.\nAnswer: -1902*u + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670 and 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*f**2 - 75*f**2 + 594 + 8*f - 594 + 2*f + 0*f.\nAnswer: 295*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -793, -3173, -7139, -12691, -19829, -28553?\n\"Answer: -793*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28168798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 12:58 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3721977 and 14\/27?\nAnswer: 3721977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -30. Let h be 4*(2 + (-6)\/4). Which is the closest to w? (a) 5 (b) 3\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/46 and 157\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -5, 1\/4, -2\/679, -3, -28, -4?\nAnswer: -2\/679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 416\/1668873?\nAnswer: 416\/1668873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/12*(-600)\/(-2000)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/30 + 2282\/12225)\/((-2)\/(-5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, -0.5, -0.3, 1 in descending order.\nAnswer: 2, 1, -2\/9, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -747, -749, -751, -753, -755?\n\"Answer: -2*c - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2324, 4652, 6978, 9302, 11624, 13944?\nAnswer: 16262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(-205)\/((-68675)\/(-402)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -33. Suppose 0 = -v*w + 3*w. Solve w*f + 0*f - 2*f**3 + 5*f**3 - 3*f**4 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -15, -1, 2 in ascending order.\nAnswer: -15, -1, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4218 + 0.0218. What is the nearest to 0.2 in -1\/5, g, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 - 0.02. Let o = 6.8 - 6.6. What is the biggest value in r, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3031637, -3031191, -3030733, -3030257, -3029757, -3029227, -3028661, -3028053?\nAnswer: -3027397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/40 + 2)\/(1\/(-15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*k - 37 - 38771 = -225*k + 15708 for k.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 5*r**2 + 0*r**2)*(1 + 2 + 3) + 2*r**2 + 2*r**2 - 3*r**2 + (2*r + 0*r + r)*(0*r - 2*r + r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0897 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 162, 242, 322?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1125513 (base 8) to base 2.\nAnswer: 1001010101101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*k)*(6*k - 3*k + 4*k)*((-3 - 3 + 4)*(-3 + 0 + 2) + 2 - 3 + 2 + (3 + 3 - 4)*(-6 + 0 + 5) + 2 + 0 + 0 + 3 + 3 - 5 - 2 + 1 - 2).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 12. Suppose 0 = -c, w - 4 = r*c - 1. Suppose -2*d + 13 = -5*b, 5*b + 11 = 20*d - 16*d. Sort w, 2, b, -5.\nAnswer: -5, b, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.37 + 0.07. Let u be 51\/(-12) + 2\/8. Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/52 + 8\/(-52). Let n = -17 - -16.8. Which is the biggest value? (a) -2\/3 (b) -2\/25 (c) i (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/6 - 7*o. Let u(z) = z**2. What is u(f(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/62127 and 155\/2106.\nAnswer: 124254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*j + 2*a - 22, 4*a = -5*j + 52. Suppose -g + 0 + j = 0. Suppose 180 = g*l - 9*l. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + 4*x + 7. Suppose -5*m + 163 = 98. Let d(f) = -m - 7*f + f**2 + 8*f + 14. Determine -6*d(w) + g(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*t, -t - 5 + 17 = -4*z. Sort 5, -1\/4, z, -5\/3 in descending order.\nAnswer: 5, -1\/4, -5\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1998 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c - 6 = -59*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -0.2121?\nAnswer: -0.4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -176*k + 21. Determine v(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 921585640 and 15096.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 7)\/(2\/1). Let c be (-2 - h)\/(-6 - 1). Factor 4\/7*k - c - 2\/7*k**2.\nAnswer: -2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*t + 6849 = -12739, -4*l + 15695 = -5*t. Is l a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 2003195\/15 + 1\/(-3). Let f = -67454 - q. What is f rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 4*o**2 + o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -9*j + 11*j + 6, 15 = -5*j + 5*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/l**(1\/6)*l)\/l*l)\/(l*l*l**(8\/7)*l) assuming l is positive.\nAnswer: l**(-13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l**3\/5 + 2447472*l**2\/5 - 856630*l + 1835646\/5 = 0 for l.\nAnswer: -305941\/4, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (3 - 12 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 6341?\nAnswer: 6366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686915 divided by -3.\nAnswer: -562305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59357 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(136)*-5*1 + sqrt(136) + sqrt(136))\/((sqrt(48)\/sqrt(2))\/sqrt(3)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 397069 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 10*r + 9. Let b be j(9). Let u(o) = -o**3 - o. Let x be u(-1). Solve 17 = -2*a + 5*v, b = -x*v - v + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - -1.98. Let g be (412\/(-1030))\/((-4)\/10). Is g at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3 + 9. Let i = b + 19. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3437681548 and 12?\nAnswer: 3437681536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24\/15*(-4)\/(-16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let l be (-4 - 37\/(-5)) + -3. Which is the closest to 1? (a) v (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5555405.\nAnswer: 5, 1111081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -0.2, -5, -7\/3, 2\/5, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 43. Let c = t + -3. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59347 equal to 306\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122650, 490613, 1103884, 1962463?\nAnswer: 3066350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 66505359\nAnswer: 199516077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2219*a**3 + 2458*a**2 - 1?\nAnswer: 13314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + 3. Let i = c + -0.8. Let j = 0.44908 + 0.05092. Put -2.2, j, i, -0.3 in descending order.\nAnswer: j, i, -0.3, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93619 is divided by 7577?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -3, -5, -0.68, -1.1?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -363490.383 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -9, 3, -0.1, -1\/4, 17.6.\nAnswer: -9, -1\/4, -0.1, 3, 17.6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:47 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = b - 5*p, 370*p + 4 = 366*p. Let f(d) = -25*d**3 + 4*d**2 + 4*d. Let g(q) = -399*q**3 + 63*q**2 + 63*q. What is b*g(i) - 63*f(i)?\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 21*t**3 - 397*t**2\/3 + 1325*t - 2244.\nAnswer: (t - 68)*(t - 3)**2*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4234, -4760, -5522, -6514, -7730, -9164?\nAnswer: -10810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 48. Let h = -448 - -438. Let z be c(h). Solve -z*j + 7 + 0 = -3*f, 3*j = -4*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5064 + -1389?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 3*d - 3053, 2*d - 1847 = -3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**2 - 17*a + 32. What is l(7)?\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) -1\/3 (c) -0.22 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 5:05 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + 4*v - 1. Let y be m(4). Let j(z) be the second derivative of -z**5\/5 + z**4\/12 - z**2\/2 + 10*z. Give j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppf when three letters picked without replacement from {f: 3, p: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s - 10. Let m(j) be the first derivative of 25*j**2\/2 - 372*j - 41. Let c be m(15). Give p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -430 + -1.1278.\nAnswer: -431.1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 121454.2ml?\nAnswer: 121.4542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/137 (b) 28688 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39292 (b) -3 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*k + 4\/5 + 2\/5*k**4 - 6\/5*k**2 + 2\/5*k**3 = 0 for k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x - 5. Let j(q) = 94 - 215 + 125. Let r(u) = -3*u - 72. Let d(v) = 18*j(v) + r(v). Calculate d(t(o)).\nAnswer: 21*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 0, -2, -27 in ascending order.\nAnswer: -27, -9, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+928924983\nAnswer: 928924982.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -45122 + 45186, -5*b = 3*z + 95 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -9e?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 3. What is d(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, x: 8, o: 1}. Give prob of sequence xonx.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246835 = -18*a + 124091. What are the prime factors of a?\nAnswer: 3, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585710 + -0.52429388.\nAnswer: -585710.52429388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 783451 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5199499685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027986224 rounded to 7 dps?\nAnswer: -0.0002799","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 4. What are the prime factors of l(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r**(1\/3))**(13\/6) assuming r is positive.\nAnswer: r**(403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2\/5 - 131839374*m\/5 + 1448468378059323\/5 = 0?\nAnswer: 21973229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1011111 (base 2) to base 4\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 202 - 5?\nAnswer: 1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 9\/17 (c) -2\/5 (d) -7 (e) 26 (f) 0.3 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 28. Let g be s(-28). Let d(m) = 2*m**3 - m**2 + m + 3. Let t be d(g). Find the first derivative of -z**t + 9*z**3 - 4 + 9 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*i**2 + 2)*(-18 - 2 + 3) to the form d*i + p*i**2 + v and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 3:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 49 = 13. Is (-4)\/18 + (-29)\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i. Let p(w) = -w - 3. Let h(j) = 4. Let t(x) = -3*h(x) - 4*p(x). Calculate t(c(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2 (b) -8 (c) -3\/2 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 18*f + 5. Let c be n(18). Suppose -c - 1 = 3*a. Is (159 - a) + 20\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11263.0563 + -11274. What is l rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q + 291*q + 28143 = -327*q for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 5*i**4 - 6*i + 5*i. Let k(b) = b. Let f(w) = -5*k(w) - u(w). Find the second derivative of f(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28608 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 67 + 2*l**2 + l**3 + 67. Let c(d) = -51*d**3 - 21*d**2. Let a(n) = -c(n) - 2*i(n). Find the third derivative of a(h) wrt h.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 2*j, 10*z = 5*z + 4*j + 26. Suppose -190 = b - z*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -99\/4, -10, 3, -2\/7, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0035 - -0.0965. Let q be (18 - -6)*32\/(-18). What is the closest to j in q, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1076 - 3670?\nAnswer: -2572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395.373 + 0.627. Let d = -394 + q. Sort 4, 5, d.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -53, -132, -253, -422, -645?\n\"Answer: -o**3 - 12*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 8*g**4\/13 + 1736*g**3\/13 + 95042*g**2\/13 + 93744*g\/13 + 23328\/13 = 0?\nAnswer: -108, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -1. What is the highest common divisor of 225 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.16 (b) 3\/10 (c) 0.4 (d) 17 (e) 3 (f) 0.8 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 2784.\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011100110011010000000 (base 2) to base 3.\nAnswer: 221110020002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 359*m**2 - m - 24. Let h be c(-3). Suppose -31*d + 21*d = h. Is -321 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - y**2 - 3*y)*(1 - 1 - 2*y**2) + y**2 + 0*y**2 - 10*y**3 - 383*y**4 + 365*y**4 as l*y**4 + q*y + c + z*y**3 + t*y**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 16*u**2 - 18*u + 8. Let q be d(-17). Calculate the highest common factor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.9 - -34.048. What is the smallest value in f, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 8*m + 15*m + 276 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from {v: 17, d: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*-1*sqrt(180) - 3*sqrt(180)*3)\/(sqrt(160) + (sqrt(160) - (sqrt(160) + sqrt(160)*-1*6 + sqrt(160)))).\nAnswer: -11*sqrt(2)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3*a + 0*a)*(6140 + 270 - 1018) in the form z + c*a and give c.\nAnswer: 21568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p - p - 5*p)*(-1 + 2 + 0) + 4*p + p - 4*p)*(2*p**2 + p**2 - 5*p**2)*(2*p - 2*p + 3*p) + (0 - p**3 + 0)*(-3*p - 4*p + 0*p) + 0*p**4 - p**4 + 3*p**4.\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-2 - -2 - -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 262746476 - 262746476.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 3*q + 8. Let l be b(3). Let w(u) = u - 3. Let p(k) = -1. Let r(j) = 3*p(j) - w(j). Calculate the lowest common multiple of 11 and r(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.132977 decades?\nAnswer: 735.95724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-16))\/(6\/7776). What is the common denominator of 83\/8 and (-2727)\/o + -2 + 16\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3 + 12*i**2 - 35*i + 24 = 0.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5.15. Let a = -0.4 - f. What is a rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 7:11 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25320448 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 23570*f - 23568.\nAnswer: -2*(f - 11784)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -99*o**3 + 4*o**2 - 86*o + 257. Calculate b(3).\nAnswer: -2638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43963, 175042, 393513, 699376, 1092631, 1573278, 2141317?\nAnswer: 2796748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -247 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2890 and 1280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/((-4)\/(-96)*-3). Suppose -5 - 15 = -2*i. Let n = i - -10. What is the greatest common factor of n and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 378331*o**3 - 2250238*o**2.\nAnswer: 2269986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:18 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9044*y - 11. Let x(a) = -3017*a - 3. Calculate 2*p(h) - 7*x(h).\nAnswer: 3031*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 + 86*s**3\/3 - 523*s**2 - 12236*s\/3 - 10580\/3.\nAnswer: -(s - 46)**2*(s + 1)*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10*(l\/l**1)\/l*((l\/(l\/l**1))\/l*l)**(-40) assuming l is positive.\nAnswer: l**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575 > -11760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:36 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -t + 5*l, 12*t - 23*l - 68 = -19*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 141. Let v = -3.13 - -2.73. Which is the closest to v? (a) -0.1 (b) -1\/8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54115 and 99935.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6831)\/(-506))\/(((-1)\/(-2))\/(142\/(-213)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((1\/(-6))\/(0 + (-18)\/(-12)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-60) - (-18)\/5. Solve 0*o + 3 = d*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -23.19. Let z be 1\/(-2) - 90\/(-540). Is m less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/30 + 3*i**2. Let j(z) = -6*z**2. Let h(a) = 19*a**2 - 12*a**2 + 2 - 2. Let f(c) = -4*h(c) - 5*j(c). Calculate q(f(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 26. Suppose -3*r - 5*s + 4 = -1, -g*s = 10. Suppose 3*d = -r*x + 24, 4*d - 3 = 2*x + 3. Solve -b = d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 52 + 55 - 250 + 143.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/532 - -6817\/76. Let k = j - 90. Which is the smallest value? (a) -10 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5706*b - 6. Let y be f(-5). Let k = 42701 + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 84 = -8*q. Let h be 9\/(-15) - q\/(-5). Let t = -30\/19 - -232\/171. Which is the nearest to t? (a) 0.5 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oar when three letters picked without replacement from aeeoeooroo?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 34 = -2*o + o, 3*v - 14 = -5*o for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -432 + 7342\/17. Let w = -619 + 762.1. Let q = -141 + w. Sort 4, y, q in descending order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-290283)\/(-27) - (-7)\/(-28)*(-8)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**3 - c**2 - 3*c - 1. What are the prime factors of g(6)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8 = -2*k, -2*p + 0*p + 2*k + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049223762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 + 5*c**3 - c**3 + (6*c - 12*c + 24*c)*((2*c + 4*c - 4*c)*(c - 1 + 1) + (3*c + 5*c - 2*c)*(1 + 2*c - 1)) as o*c**2 + m*c + z*c**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, s: 4, r: 3}. Give prob of sequence qsr.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/48 - (-162)\/4. Suppose z = 2*r - 9*r. Let a be (-46)\/(3\/2*4\/r). Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -2*u + 21\/4*u**4 - 35 + 49\/2*u**2 + 0*u**3. What is the first derivative of q(y) wrt y?\nAnswer: 126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -4 (c) 12 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120017*d - 65 = -120026*d + 5*q, -33 = -5*d + 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.929 - 0.229. Which is the second smallest value? (a) o (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1244829460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 14, 8, -7\/6, 2\/3 in increasing order.\nAnswer: -7\/6, 0.2, 2\/3, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-20)*650\/(-52).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 - 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3168) - (sqrt(3168) + sqrt(3168)*-1)) - sqrt(3168))\/((sqrt(99) + sqrt(99)*-2)*5).\nAnswer: -16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.37 minus 2?\nAnswer: 97.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2612042 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 197.233?\nAnswer: 211.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(102)\/sqrt(2) + sqrt(51))*-2)\/(-3*1*sqrt(300)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = k - 0*k + s, -99 = -2*k - 5*s. Suppose 33 = 3*w + 5*v, 2*v - 33 = -3*w - 0*v. What is the remainder when k is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -821\/6373 or 0?\nAnswer: -821\/6373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340\/(-10) + (-25)\/(1825\/(-219)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-75))\/((-76)\/40)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512692045 to the power of 1\/3, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 + 1251925*u**2 - 300246000*u + 18010440000 = 0.\nAnswer: 120, 250145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 326040661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2486 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -2*y - 17*y. Let b(a) = -54*a + 18*a + y*a + 24*a. Let w(v) = -18*v**2. What is w(b(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 7*d + 2. Let z(h) = -h**3 + 11*h**2. Let k be (-2)\/(-3) + 217\/21. Let w be z(k). Suppose -6*s - 93 + 45 = w. Give n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-428 - 26*r + 428) + 4*r - 4*r + r - r + 2*r - 9*r.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*b - 24, 56*d - 52*d - 6*b - 28 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let i(f) = 13*f**2 + 10. What is d(i(s))?\nAnswer: -338*s**4 - 520*s**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 + 13*w - 6. Let o = 9 - 4. Calculate the lowest common multiple of k(o) and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 23*u**3 + 24*u**3 - 105*u**2 - 4*u - 1 + 107*u**2 as g*u**3 + t*u**2 + w*u + f + l*u**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -7\/28433 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/4 - 119*o**2\/4 + 1039*o\/2 - 490 = 0?\nAnswer: 1, 20, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {m: 6, e: 1, s: 1, h: 8, t: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*h + 1)*(3*h**3 - 5*h**3 + 3 - h**3 + 3*h**2).\nAnswer: 6*h**4 - 6*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124726 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 o when four letters picked without replacement from htohtcttocthtb.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/13 and 109\/36270.\nAnswer: 36270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5832 and 4905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9989024 is divided by 670.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/9 (b) 21 (c) -3\/191 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -350458 - -1348?\nAnswer: -348110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236527*h**2*k**2 - 2*h**2 - 27008*k wrt k.\nAnswer: 473054*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i - 6. Let q(s) = -2*s**2 + s - 6. Let r(w) = 79*w + 1899. Let f be r(-24). What is f*t(h) - 2*q(h)?\nAnswer: h**2 + h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n**3 - 8*n**3 - 4*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30703 - 8*y + 7681 + 7678 - 20*y + 7672 + 7672.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 - 7476*t**4 - 52172*t**3 - 66924*t**2 + 201312*t + 402192 = 0.\nAnswer: -1862, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 11*o**2 - 29*o**2 + 4*o + 7*o**2 + o + 12*o**2.\nAnswer: 11*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2754 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Is 13 a factor of -10 - -9 - a*39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -27*q + 32. What is the second derivative of 2 + 2*y**q - 7*y - 2585*y**3 + 2620*y**3 - 2*y**2 wrt y?\nAnswer: 210*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.174 - -0.234. Let s(r) = r**3 + 10*r**2 + 10*r + 4. Let k be s(-9). Let x be (7 + k)*(-2)\/2 - 0. Sort j, 3, x, -2\/7 in decreasing order.\nAnswer: 3, j, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {i: 4, q: 13}?\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20051*f**2 + 3 - 4 - 15420*f**2.\nAnswer: -35471*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, o: 2}. What is prob of picking 2 j and 1 o?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + b = -70, 0*b - 14 = -2*w + 2*b for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.021 - 0.479. Let v be 6 + (0 + -1)*1. What is the nearest to -0.1 in v, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 5992*c**2 + 4488008*c = 0. What is c?\nAnswer: 0, 1498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8208 and -34\/1881?\nAnswer: 90288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588\/5*b**2 - 594\/5 - 237*b + 3\/5*b**3 = 0. What is b?\nAnswer: -1, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35476089301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938791265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.6 + -21.6. What is the closest to 2\/7 in 5, 18\/11, d?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 877*b - 877*b - 10 to r + l*b + c*b**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 980 and 15974?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002499632 to six decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/24 + i**5\/20 + i**4\/8 - 5*i**2. Let m(g) = -9*g**3 - 5*g**2 - 5*g. What is -5*h(c) - 3*m(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17*a + 7. Let h(f) = 8*f + 3. What is -9*h(y) + 4*l(y)?\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/11, -544, -2\/5, 19?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -554793.6789 - -554757. Let a = o + -92.3278. Let f = 129 + a. What is f rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5739809.\nAnswer: 2111, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*g + 4138 = -1604. What is the remainder when 741 is divided by g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-2*(-151)\/(-2). Let n = 272 + f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-171)*(-2)\/8*-2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11901*g = 11867*g + 102. Let x = 3 + -4. Let w = 1 + -3. Which is the second biggest value? (a) g (b) 0 (c) w (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k - 39. Give y(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from wwxccxwwwxc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 47. Suppose 3*z + 5*d = -2*z + 25, 2*z + 5*d = r. Calculate the common denominator of 84\/(-45) + (-2)\/z and -19\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020110211 (base 3) in base 12?\nAnswer: -12157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/9))\/p*p**(-2\/15))\/(p**(1\/5)*(p**1\/p*p)\/p)*(((p**(-1\/4)*p)\/p)\/p)**(-1\/36)*(p\/(p*p**(2\/5)*p))**(-3\/2) assuming p is positive.\nAnswer: p**(379\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/10*(-616)\/3773?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = 7*w - 48. What is the third derivative of -151*q**3 + 14*q**w + 18*q**2 + 38*q**3 wrt q?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/40 + ((-31311)\/(-56) - -5).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*r - 390*c**3 + 2*c**2 + 67*c*r wrt c.\nAnswer: -6*c*r - 2340*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:21 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 0 (c) -15\/2716588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q**2 + 133*q + 92. Calculate w(6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1133212?\nAnswer: 1133212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (752\/40)\/(48\/1240). Let s = 485 - o. What is the fourth smallest value in 2, -5, 0.5, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 77. Does 2 divide -3 - (1\/(4\/u) - 26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*510\/50*50\/20*3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196855 to the power of 1\/2, to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 78981 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(18\/((-144)\/20))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11053 - -1601607.\nAnswer: 1590554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4*2\/(-8)*-2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 20*r**3 - 218725*r**2 - 601745*r + 1093900 = 0.\nAnswer: -4, 5\/4, 10939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 247976763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -15*d + 49*d + 226 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 + 4*v - 5. Let k be r(4). Let b(c) = c**2 + 5*c + 2. Let x be b(k). Solve 4*a - 15 - 7 = 2*w, x*w = -3*a - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/13, 0.4, -7\/5, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) 4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-7)\/112)\/(3\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 21 = 3*s, 3*s - 3*v + 27 = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23454)\/66453 - (-230)\/459?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 43, 0, 3, 7, -15 in ascending order.\nAnswer: -15, -2, 0, 3, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) - 60\/(-40). Suppose w - 1528 = -5*x + 27, -b*x - w + 933 = 0. What are the prime factors of x?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 - 2*f**3 + (-3*f + 2*f + 2*f)*(2 - 2*f**2 - 2) + 8*f + 2358*f**2 - 8*f - 2358*f**2 - 2 - 27936*f**3.\nAnswer: -27940*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 495*u**2 + 198*u**3 - 109*u**2 - 200*u**3 as r*u**3 + w*u + b + a*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1095 (base 11) to base 8.\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*u + 7, 13*u = 17*u - i - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 + -6 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 242984245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20600240 and 63\/16.\nAnswer: 20600240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1890*p - 1890*p + 15 + 3778*p in the form k + n*p and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-2 + sqrt(72) + -1 - sqrt(72) - sqrt(72))*-2)*6)**2*1.\nAnswer: 8640*sqrt(2) + 13968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -9 + -1 + 21 - -2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.742 - 0.41. Let j = 0.542 - g. What is the second smallest value in 2\/9, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73 or 23300\/317?\nAnswer: 23300\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167.64 + -203.2. What is q rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19552*l + 9970*l + 11690 = -9749*l for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/15, 3\/5, -3, -0.1 in decreasing order.\nAnswer: 3\/5, 0.1, -0.1, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38726 by -1799.\nAnswer: 38726\/1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -32.9274. What is p rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1814 + 1814 - 65*n + 2*n)*(-7*n**2 - 181 + 3*n + 181 + (-2*n + 0*n + 0*n)*(3*n - 3*n + 2*n)) to i*n + g*n**2 + l*n**3 + t and give g.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2629, 2488, 2247, 1894, 1417, 804, 43, -878?\nAnswer: -1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4760, -4758, -4756, -4754, -4752?\n\"Answer: 2*w - 4762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2510\/3075 + (-8)\/(-20)*-2. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1101100011101100100001?\nAnswer: -1101100011101100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 343*b*y**4 - 7*b*y - 29745*b + 9*y**2 wrt y?\nAnswer: 1372*b*y**3 - 7*b + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90)\/144 + (-423514)\/(-16)?\nAnswer: 3, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -18 (b) -0.25 (c) 4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14326 + 14326.000028399. What is p rounded to 7 decimal places?\nAnswer: 0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvvpgvtvvtgggjgu. What is prob of sequence jv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8374560*s**3 + 2699469*s - 2.\nAnswer: 50247360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 46, -13, -84, -167, -262, -369?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 5*a**2 + 3*a. Let v(w) = -w**3 + 9*w**2 - 8*w + 4. Let f be v(8). Suppose -4*d = -2*z + 22 - f, d + 22 = 4*z. Does 10 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezvsvdr. Give prob of picking 1 v and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -1. Let z be (0*3\/6)\/m. Solve -3*o - 3 + 0 = z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -99, -147?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 5*h - 2. Suppose -5*z + 3 = -a, 2*z + z = -2*a + 7. Let u = -1 + 6. Suppose -a*t + u*t = -12. Calculate j(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-12)*(-1)\/324*-9?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -0.05, -1\/3, -0.2.\nAnswer: -0.5, -1\/3, -0.2, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 - -526. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 116*m - 4. Let s(l) = -12*l. Calculate v(s(x)).\nAnswer: 432*x**2 + 1392*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17296.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g + 3*g - g. Let n = -346 - -350. What is s(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 945567 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115 - -b?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17801*y**2 + 13879*y.\nAnswer: -35602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*b**3 + 90 + 94*b**3 + 102*b**3 - 389*b**3 + 99*b**3 in the form p*b**2 + s + m*b + d*b**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*v + v. Suppose p - v*s + 1 = -2*p, 5*p + 4*s + 14 = 0. Which is smaller: p or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/3)\/(((-14)\/(-4))\/(-7)). Suppose -595 = -x*p + 277. What are the prime factors of p?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95719236?\nAnswer: 2, 3, 7976603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)\/u)**(-1\/3)*u**(-33)*u*u*u**(-5\/7) assuming u is positive.\nAnswer: u**(-1283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815 is divided by 1505.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -914 + 911.833. Let s = 2.10745 + k. Let w = s + 0.06. Round w to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273 at least as big as 22914\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*((s**(-6)*s)\/s)\/s*s)\/s)\/s*(s*(s*s*s**(-5)\/s*s*s)\/s*s)\/s*s**(-3)*s**(1\/2)\/s)**(5\/4) assuming s is positive.\nAnswer: s**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 4*p - 1. Let c(s) = -13*s**2 + 19*s - 8. What is -c(q) + 4*t(q)?\nAnswer: 21*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 101200111?\nAnswer: -101200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g + 7. Let j(s) = -3*s + 4. Let m(k) = 7*j(k) - 4*x(k). Let f(v) = 2*v**2 + 10*v. Suppose -40 = 4*h + 5*p, h = -h - 2*p - 20. Give h*m(l) - f(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 j when three letters picked without replacement from ppjjkjkpdp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:58 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*n - 1079 = w + 313*n - 7052, -5*w - 3*n + 33 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -95900000 to the nearest 1000000.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1661582, -1661588, -1661598, -1661612, -1661630, -1661652, -1661678?\n\"Answer: -2*z**2 - 1661580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725 and 1817841800.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*x - 33, 333*l - x = 338*l - 21. What is the nearest to l in -3\/4, -3\/8, 82?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140)\/6*6574\/(-3) + (-29)\/261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 4, -5*f = -5*b - 74345. Let c = b - -8913. What is c rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 42 = 3*c + 9, 55 = 3*h - 4*c. Suppose -17*a + h*a = -568. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -228\/7 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z - 50 - 60 = 762 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - v**2 - 7*v - 10. Let h(z) = -2*z**3 - z**2 - 6*z - 9. Give -7*h(s) + 6*u(s).\nAnswer: 2*s**3 + s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k - 9. Let r(j) = j - 1. Let p(z) = -2*a(z) + 18*r(z). Suppose 0 = -2*o + 10. Let m(l) = -5 - l + o. Determine m(p(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3 + 1. Let s = 159 - 151. Calculate the lowest common multiple of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23005, 92042, 207111, 368218, 575369?\nAnswer: 828570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233656064 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 0.2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24710.5965 and 0.2?\nAnswer: 4942.1193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2330623*r**3 - 150235*r**2 wrt r.\nAnswer: -13983738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 498115323*l**3 + 292930477*l**2?\nAnswer: 2988691938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 67 = 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 995*u**2*x**4 - 8*u**2*x**2 + u**2 + 222*u + 473*x**5 + 6*x wrt x?\nAnswer: 23880*u**2*x + 28380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -222011012 (base 3) in base 4?\nAnswer: -10221323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10229315 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 highest common factor of 175882 and 1904.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1663 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 267. Suppose 75 = 34*k - 197. Suppose -w = -k*s + 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: Suppose 2*i = 4*i + 6. Let x(r) = r**2 + 4*r + 5. Let m be x(i). Solve -4*u - m*p = 10, -2*u + u - 19 = -5*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4205386893537 and 43.\nAnswer: -4205386893494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + 3. Let o be (-1 - 1) + x\/57. Let l = 690 + -685. Which is the smallest value? (a) l (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/60*(-2 - -6). Let m be (-15)\/(-10) - 10\/12. What is the third biggest value in m, 2\/7, b, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -1, 423, -5 in increasing order.\nAnswer: -5, -1, 2, 9, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3121120 + 12?\nAnswer: -3121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**7\/735 + l**6\/35 - 29*l**5\/210 + 3*l**4\/14 - 3*l**2 - 37*l. Factor f(m).\nAnswer: -2*m*(m - 9)*(m - 2)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6137784 is divided by 590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -63*a**3 - a**2 - 2*a + 1. Let d be r(-1). What is the third derivative of d*x**4 - 11*x**4 - 15*x**2 + 2*x**4 - 32*x**2 wrt x?\nAnswer: 1344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1*sqrt(2736))*-3.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 - 168*r - 164 = 0. What is r?\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657.3 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3483*c + 3727. What is the tens digit of i(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-16) - (-41)\/8. Suppose j*u + 63 = 4*r, -4*u - 34 - 38 = 4*r. Let g be (u\/(-45))\/(2\/24). Solve 0 = g*m - 19 - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20922491 != -20922482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18646236 and 8540?\nAnswer: 93231180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x. Suppose 0 = 2*h + 3*b + b - 30, 4*h - 2*b - 80 = x. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = -20. Let f be (-4)\/(-6) - (-200)\/15. Let a = f - x. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -922\/5? (a) 0.4 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-1)\/w))**39\/(w*w\/((w**0\/w)\/w))**(-15\/7))\/(w**(-6\/13)\/w**(1\/14))**(-26\/3) assuming w is positive.\nAnswer: w**(2540\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 + 14*y - 16*y + (-y**2 + 4*y**2 - 2*y**2)*(2*y - 3*y + 2*y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125.2*-1.\nAnswer: 125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1862 + -1?\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -107. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:05 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17.37847 times 0.027\nAnswer: -0.46921869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/((w*w**(2\/5)\/w)\/w))))\/w*(((w**(-10)\/w)\/w)\/w)\/w*w**(2\/17)*w**(1\/16) assuming w is positive.\nAnswer: w**(-16619\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4793 - 4789. Solve 5*q = 4*g - g - s, 3*g - q = 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*i**3*t + 590*a*i**2*t**3 - 1047*i**3*t**3 - i**3*t wrt a?\nAnswer: 2*i**3*t + 590*i**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*m + 19 + 11, 0 = -2*m + 4. Let d = 76 + -53. What is the remainder when d is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -1. Let o be 176\/(2\/1 - 0). Let y = 93 - o. Calculate the remainder when c is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*y. Suppose -y*n + 0*n = 0. Let v be 16\/(-8) - (-1 - 4). Solve n = -h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1093*f**2 + 45*f**6 + 12*f**6 + 8*f**6 - 15*f**6 - 23*f**5 + f - 538*f**2 wrt f.\nAnswer: 6000*f**3 - 1380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 + 333. What is the greatest common divisor of 2795 and i?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + (8 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 60. Suppose 15*u + 6 = j*u. Sort 5, -4, 4, u in ascending order.\nAnswer: -4, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l + 18. Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285322 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 - (4 + -7). Suppose 2*p = 4*w + 8 + 4, v*w - 44 = -2*p. Suppose -p*m + 10*m = -212. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549469281?\nAnswer: 3, 183156427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1100\/125 - -2*1\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -44 + 296. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -17*z + 256. Calculate r(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110111100111 (base 2) to base 13.\nAnswer: 255b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Suppose -5*g = -4*g - n. What is the highest common factor of g and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*b = -10, b = -b - 8. Calculate the remainder when (-4)\/(-6) + 129\/9 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + 35\/(140\/48492)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 5*w + a, 3*w - 2*a + 73 = 42 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4610 + -4608. Sort -8, -4, 0, z.\nAnswer: -8, -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 199*m - 2989. What is k(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 312519 or -0.2?\nAnswer: 312519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 - (-3 + 12 + 507 + -483)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3606)\/2404)\/(4\/((-28)\/3))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14351 is divided by 167?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115073555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17064 is divided by 2121?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/36 - 33\/27. Suppose -2 = 4*i - 10. Let k(w) = 1 - 3*w - i*w**3 + 4*w + 4*w**2 - 5*w**2. Determine k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-9 - 3*z + 9) + (1 + 4 - 3)*(0 + 0 + 3)*(-3 + 3 + 9*z).\nAnswer: 57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:23 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.56751306 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.1998.\nAnswer: -0.1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 0.43 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/2))\/b**(-4\/5)*b\/(b*b**5*b)*b\/b**(1\/6)*((b\/((b**0\/b)\/b))\/(((((b**(3\/4)*b)\/b)\/b)\/b)\/b))\/(b**(-2))**(-5\/2) assuming b is positive.\nAnswer: b**(-277\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 13 = -y - 0, 0 = 2*y - 5*l + 13. Let p(s) = -s**3 - 10*s**2 - 11*s - 13. Calculate the lowest common multiple of 6 and p(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*z - 60 = -0*z, 0 = -3*h + 5*z + 79. Let q(o) = o**3 - 10*o**2 - 16*o + 8. What is the remainder when q(12) is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567876 is divided by 2520?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4014 divided by -6\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1249 + 1248.6. Let m = -6.4 + 7. Which is the closest to m? (a) 2\/5 (b) n (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 - -172. Suppose 0 - 3 = 3*i. Calculate the remainder when 40 is divided by 23 - (i + 2) - p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1416207948 and -6?\nAnswer: 1416207954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/88135034 and -22\/11596715.\nAnswer: 440675170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29830*f**2 + 7*f + 497712.\nAnswer: 59660*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 609, 609, 597, 567, 513, 429, 309?\n\"Answer: -k**3 + 7*k + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (33\/90*3)\/(9\/42) and 5\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1.2329, 163, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.136701 days in weeks?\nAnswer: 1.305243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229749 + 199140. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976652.\nAnswer: 2, 37, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103528766.\nAnswer: 2, 11, 4705853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2\/17)))\/y**(-1\/10))**15\/((y*y**(-2\/7))**(-49)*(y\/(y\/y**(7\/4)))\/y*(y\/(y**0\/y))\/y*y) assuming y is positive.\nAnswer: y**(2175\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19726 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338476 divided by -74.\nAnswer: -4574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/20, 4, -0.76591?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171305 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -18*z**3 - 39*z**2 - 1368*z - 2732. Calculate k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3632)\/(-96) + 1\/6. Let s = -35 + j. Suppose -5*t + t + s*d = -2, -d + 2 = 0. Solve 2*z = t*b + 10, -5 = -3*z + 5*b - 4*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**5*y))\/y)\/y*y**(-1))\/(y**(-1\/3))**22 assuming y is positive.\nAnswer: y**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:47 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1.7, -3, 31\/786 in descending order.\nAnswer: 1.7, 31\/786, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - m + 2. Let v(f) = -3*f**2 - 3*f + 5. Suppose x + 4*d = 0, -2*x + 14 = x - 2*d. Determine x*v(a) - 11*l(a).\nAnswer: -a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-70)\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110351 (base 6) to base 4.\nAnswer: 2033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 28*u**2 - 2*u - 2. Let g(x) = 20*x**3 - 169*x**2 - 12*x - 13. Give 26*d(t) - 4*g(t).\nAnswer: -2*t**3 - 52*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1058130 * 3.\nAnswer: -3174390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6917 + -0.14326.\nAnswer: -6917.14326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 3*y**2 - 9*y - 4. Suppose 4*j - 25 = h + 2, -5*h = -2*j + 45. Let c be p(h). Suppose -7*q = 45 - c. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 24*l**2 + 241*l + 16. Calculate x(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Let w(l) = 9*l - 5. Suppose 6 - 18 = -4*p. Let g(b) = -5*b + 3. Let y(m) = p*w(m) + 5*g(m). Calculate x(y(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514606301?\nAnswer: 11, 23, 2034017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001485708328 rounded to 7 decimal places?\nAnswer: 0.0001486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -23239.\nAnswer: -1\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51.77756m?\nAnswer: 51777560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from {y: 1, k: 2, z: 5, b: 1, a: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (244\/(-54))\/(560\/(-42)) and 53\/190.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.4 (c) -2\/4917 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1257795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63.8? (a) 2571 (b) -4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/132*-3)\/(12\/192*16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -12, -4, 37, -6 in decreasing order.\nAnswer: 37, 3, -0.5, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/3)*a)\/a)**(-1\/17))**(-2\/13)\/(((a\/a**(-2\/5))\/a)**(11\/8))**(-5\/13) assuming a is positive.\nAnswer: a**(577\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/660 - h**5\/330 - h**4\/132 + h**3\/33 - 12*h**2. What is z in t(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -124*m - 3. Let q(l) = 6*l**2 - 20. Determine c(q(z)).\nAnswer: -744*z**2 + 2477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 197. Let n(k) = 1286008*k. Calculate s(n(w)).\nAnswer: -2572016*w + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xxexuee.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1097*r**3*x - 417*r**3 + 967*r**2*x - 383*r**2 - 2*r + 2 wrt x.\nAnswer: 1097*r**3 + 967*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000314616 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 232083.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 32 + 58 = 0. What is the lowest common multiple of 18 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 543*n - 2*n**3 - 20*n - 1049*n**2.\nAnswer: -n**3 - 1049*n**2 - 563*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 428951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17240622 and 588?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 290\/7 or 41?\nAnswer: 290\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 5. Let l be f(-4). Let g be (-4 - -1) + 2 - -9. Which is greater: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose h + h = -3*f + 46, l*h + 3*f = 63. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 68*i**2 + 2*i - 68. Let q be z(34). Let x(w) = -5*w - 18. Let t be x(-4). Solve q*f - 5*s = 4*f + 6, -t*f = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 - (5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 4 + 5)*(-38 + 25 + 18)*(4*v - 4*v + v)*(-1 + 1 + 2) to the form g + y*v and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f. Let g(o) be the third derivative of 1\/6*o**5 + 0*o**3 + 0*o - 20*o**2 + 0 + 0*o**4. Calculate g(q(l)).\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16722 - 7861 = -793*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-1650)\/(-235))*(-1081)\/46.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.473 and -53293.5.\nAnswer: 25207.8255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -174, 2 in descending order.\nAnswer: 5, 2, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 28*m + 8. What is the lowest common multiple of 76 and g(28)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 15. Let u(v) = v + 2. Let y be u(-8). What is the units digit of q(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410090 minus 0.0624?\nAnswer: -410090.0624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 9*i - 14*i + 444*i**2 + 35*i.\nAnswer: 444*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 5*y - 4*p - 90, -5*y + p + 555 = 0. Suppose a + 12 = 3*x - 2*x, y = 5*x + 5*a. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/60 and -17\/3517284.\nAnswer: 17586420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11 and 53\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 716651715 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 528\/(-90) - (-43)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:16 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*y**4 - 2*y**3 + 35979*y**2 - 449059221*y - 2 wrt y?\nAnswer: -2016*y**2 - 12*y + 71958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02375662 rounded to 5 decimal places?\nAnswer: -0.02376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -1256, -1963, -2670, -3377, -4084?\nAnswer: -4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (31920\/(-51))\/(-16) - 2\/17 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25185436 to the nearest integer?\nAnswer: 5019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101011010001010000 (base 2) in base 6?\nAnswer: -155120024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*h + 18 = -9, 3*h - 46 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511 and 630047013?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89998020 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51129, 102250, 153371, 204492, 255613, 306734?\nAnswer: 357855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -17 + 4 + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m**3 - m**2 - 3*m - 2. Give o(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -10*v**3\/3 - 1289. Let q(p) = -18*p - 533 + 533. Give q(m(d)).\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497933419.\nAnswer: 6203, 80273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7221 = -213*w - 9607 + 5965 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/19 + 9668*j\/19 - 11683778\/19 = 0.\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 795931589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197416959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5 - 0) + (-1662)\/(-30). Differentiate 11*u**4 + 21*u**4 + y - 76 wrt u.\nAnswer: 128*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q - 46404834 = -205410578 - 102908608. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i + 40*i - 5*q = 20, 2*q + 16 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*p + 4. Let o = p - -39. Is -2 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10. Suppose f = -4*i - 18 + 2. Let v(r) = -r**3 + 5*r**2 + 6*r + 1. Is v(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/980*-322)\/((63\/6)\/(-7))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 (base 14) in base 6?\nAnswer: -1255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1832 + 1833.2. Put s, -2\/3, -2\/5, 7\/5 in increasing order.\nAnswer: -2\/3, -2\/5, s, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 143*f - 317. Give g(-30).\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 2*g**2 - 27*g - 8. What is the tens digit of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5884182 is divided by 353.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -133*w**4 - 2*w**2 - 41. Let s(v) = -v**4. Let j(g) = -h(g) - 6*s(g). What is the third derivative of j(o) wrt o?\nAnswer: 3336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13632*x + 15622*x - 661*x.\nAnswer: 28593*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f + 139*f = 23*f - 42*f + 6270 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1877 or -0.7?\nAnswer: 1877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*-1*(-100)\/(-150)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3\/1706, 1, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 179 in -8\/9, 1\/9, -1, 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 58. Let v = d + 27. What is the remainder when 29 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-348)\/(-30) + -6)\/((-2)\/(-15)*-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 44278 = -4*s + 15145, 0 = -5*s + 3*q + 74295. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924224729.\nAnswer: 859, 887, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.17 (b) 1 (c) -0.3 (d) 276 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 87*g**3 + 1443*g**2 - 1353*g.\nAnswer: -3*g*(g - 11)*(g - 1)*(g + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 122\/5, 3.74, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-20) + 7\/(-2). Sort 6, x, 2, -4 in increasing order.\nAnswer: x, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -2\/11 (c) -0.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54858.\nAnswer: 2, 3, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -952.12 to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 - 7*k - 99*k**2 + 108*k**2 - 21*k + 3*k**3 + 10*k.\nAnswer: 3*(k - 2)*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1130331879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9526.\nAnswer: 2, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/7, 0.165?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/6 - s. Suppose -3*a = 2*a - 80. Let w(h) = -12*h. Calculate a*f(g) + w(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83, 725, 2461, 5837, 11399, 19693, 31265, 46661?\n\"Answer: 91*p**3 + p**2 + 2*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37377 or 37539?\nAnswer: 37377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 - 5*k**2 - 31*k + 72. What is the remainder when 184 is divided by x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145028\/(-78092) + 272\/7\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -248, -1246, -3736, -8468, -16192?\n\"Answer: -125*t**3 + 4*t**2 - 135*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2. Let k(s) = -75091*s**2 + s - 1. Determine k(y(j)).\nAnswer: -2703276*j**4 + 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 56*s - 2. Let q(v) = v + 2. Let b(f) = -4*q(f) + z(f). List the prime factors of b(3).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -888660 (base 11) to base 8.\nAnswer: -5317420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 790682713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*3*-2)\/sqrt(8) + sqrt(153) + -4 + -5*(sqrt(17) + sqrt(68)\/sqrt(4)))**2.\nAnswer: 104*sqrt(17) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 104, 162, 222, 284?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-12)\/80*5. Suppose -3*u = o, 0*p = -2*p - 5*u + 1013. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n - 12992 = 16*n. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0686 - -6923743.\nAnswer: 6923743.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -242, -238, -234, -230?\n\"Answer: 4*b - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 921 - 987 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 2462 = 4*u, -5*u + 3091 = -3*k. Suppose 5*v = -u + 3977. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*a - 503*a - 215*a - 1.\nAnswer: -499*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 7\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.1763 + -19.1062998. Let b = s - 0.07. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((169\/52)\/13*-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/3, -2\/11, -3, -5 in ascending order.\nAnswer: -5, -3, -2\/11, 31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17*o - 1. Give b(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, q: 17}. What is prob of picking 1 q and 3 u?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*u = -202*u - 3*o + 147, 2*u - 8*o = 26 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 5*w + 6. Let n(s) = -s**3 - 4*s**2 + 2*s + 3. Let l be n(-4). Calculate the remainder when 3\/(-2)*32\/(-3) is divided by v(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.86 - -2.96. Let z = 5 + -3. Let c = 2.8 + 0.2. What is the closest to -1 in z, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49992 is divided by 1351.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 295224018 and 28686.\nAnswer: 2066568126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:51 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a factor of 367917645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 63248.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((((o*o\/(o*((o*o**(-2\/11))\/o)\/o))\/o)\/o)\/o))*o*o*o**(1\/6))**(-5\/7) assuming o is positive.\nAnswer: o**(-445\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8204\/390)\/(1116\/15). Let n = -2\/403 + k. Let b = 79\/90 - n. Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 5) + -15 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*4\/12462. Let c = 71662\/22847 - x. What is the common denominator of c and 32\/66 + (-16)\/96 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*2*(-20)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 9*p - 158 + 10*p + 9*p + 56*p - 282.\nAnswer: -4*(p - 11)*(p - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1302 = 21*y - 234. Solve 15*w - 47*w - y = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from qyyryyqqyyyqqcyq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/108*(185\/30 - 3\/18). Let l(c) = -c + 1. Let x(n) = -3*n - 3. Calculate r*x(k) + 4*l(k).\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/40787 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose i = h*p + 21, 4*i - 21 = 3*p - 2. Let x(w) = w**3 + 5*w**2 - w - 2. Give x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185909 is divided by 1431.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let a = m - 2. Let g = a + 4.0032. What is g rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 4152\nAnswer: 4161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 976 + -487. Let j = g - 209. Suppose 190 + j = 2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 87*j + 529. Give a(-9).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4594 - 2337. Is r a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 23*g**2 - 67*g + 2. Suppose 0 = 4*x - x - 12. Calculate the smallest common multiple of a(3) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 2}. What is prob of sequence ffxf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaavaavaav. Give prob of picking 1 v and 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42421317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m**3 - m**2 - m - 1. Let t be w(2). What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 14*y + 5 = -v + 20*y - 0 + 2, -6*v = 2*y + 68 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-87)\/(-15) + 1 + -5 + -1. Suppose 2*k - k + 15 = -4*p, -2*k + 35 = -5*p. Let v = -1\/142 + 36\/71. Which is the nearest to v? (a) -0.8 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 406573\nAnswer: -4\/406573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179964.\nAnswer: 2, 3, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h**(3\/5)*(h*h\/h**(-3\/7))**(-1\/7) assuming h is positive.\nAnswer: h**(1287\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4487*y**3 - 7268*y**3 + 2906*y**3.\nAnswer: 125*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 6*l + 2. Suppose 0 = 2*a + a - 4*k + 2, 4*a + 3*k = 39. Let b be d(a). Solve 0 = -2*m + 4*y - 4, 0 = -2*y - b*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3223 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -699598?\nAnswer: 209879.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -413 * 1\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 68*t**4\/7 + 471892*t**3 + 40107453044*t**2\/7 - 195899433372*t\/7 - 23602107240\/7 = 0. Calculate t.\nAnswer: -24291, -2\/17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 981683773*m**2 - 944671157.\nAnswer: 1963367546*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 16*o - 15. Let u be c(-15). Let k be (4\/(-50))\/((-16)\/(-20)). What is the third smallest value in 4\/7, k, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6231 or -6230?\nAnswer: -6231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5922 and 109980?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 38*n**3 + n**2 - 3*n - 2. What is u(-1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 2. Let g be z(4). Let k = -2 - g. Suppose k = -m + 1 + 2. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*x - 22*x + 29*x + 4*x - 30*x.\nAnswer: -87*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6790 and 1680.\nAnswer: 162960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4847449 from 5404155.\nAnswer: 10251604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - c)*(2*c + c - 2*c) - 17 + 12 - 2*c**2 + c**2.\nAnswer: -2*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/2 + o**3 + 8*o**2 - o - 15\/2 = 0.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-8\/7)*l)\/(l\/l**(-3)*l)*((l*l*l**9)\/l)\/(l\/(l*(l\/(l*l**(-1)))\/l)) assuming l is positive.\nAnswer: l**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 13.\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 274*m + 18883. What is a(151)?\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 559076156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 366581981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, -1\/136, 4 in ascending order.\nAnswer: -2, -1\/136, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111\/5 + -1433\/65. Let m = 0.023 + -1.023. Which is the second smallest value? (a) m (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22033.\nAnswer: 11, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56380 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3288072 and 96708?\nAnswer: 3288072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -7*r**4\/6 + 4*r + 192. Let i(a) = -a**3 - 4*a**2 - 4*a - 3. Let d be i(-3). Let m(t) = d*t - t + 4*t. Calculate w(m(v)).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*i - 4*z = -594*i - 52, -2*i + 20 = -z for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(23 + -22)*(-2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by (-2)\/(-9)*(-5472)\/(-64).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*s - 7. What is the smallest common multiple of 492 and s?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(99))**2 - (sqrt(132)\/(sqrt(12)*-2) + (0 + sqrt(11))*3)**2.\nAnswer: -1875\/4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*d - 1198*d + d**2 - 3 - 770*d + 4307*d.\nAnswer: d**2 + 1615*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2271 + 192*p**4 - 2271 - 3*p - 55*p**4 wrt p?\nAnswer: 1644*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25268, 50527, 75784, 101039, 126292, 151543?\n\"Answer: -k**2 + 25262*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/30)\/((-18)\/(180\/(-35))).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 3) to base 9\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-8)*-3)\/1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1107 divided by -123.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 + 355. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 173*g - 54553. Let h(l) = -3*l. Give q(h(x)).\nAnswer: 9*x**2 + 519*x - 54553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 10*q**2 + 9*q - 2. Let n be d(-9). Is n + 5 + 64 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 76.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*p**3*y**2 - 5*p**3 - 42*p**2*z**2 - 2*p*y**2*z - 2*p - 3*y*z**2 - y*z + 3 wrt p.\nAnswer: -72*p*y**2 - 30*p - 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3 - 0. Let o = 4380 + -337258\/77. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3220\/800 + (-10)\/((-160)\/6) + -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 7*y**2 + 0*y**2 + 3*y**2. Let o = 10 + -15. Let g(u) = 2*u**2 + 2*u. Give o*g(w) - 2*b(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 296*j + 1796. Determine p(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:53 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/2*f**3 + 0*f + 0*f**6 + f**2 + 0 + 1\/105*f**7 + 0*f**5 + 0*f**4. Find the first derivative of p(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87207 is divided by 4130.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:11 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (134\/(10988\/3075))\/((-1)\/2)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4697, 9266, 13835, 18404, 22973, 27542?\n\"Answer: 4569*k + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, 0, 71, 212, 441, 776?\n\"Answer: 3*p**3 + 8*p**2 - 26*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 566 + -556. Suppose -s*i = -18*i + 1728. What is the highest common factor of i and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u**(-2\/5)*u)))\/u**(2\/11) assuming u is positive.\nAnswer: u**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35610 divided by 10?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -34*i - 58. Let y(l) = 19*l + 28. Let w(o) = -3*x(o) - 5*y(o). Give w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1536 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*b*o**3 - 9*b*o**2 - 2*b*o + 2*b wrt o?\nAnswer: -756*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**3*t - 484842*f**3 - 15*f**2 - f*t + 421*f - 2*t - 115 wrt f.\nAnswer: 114*t - 2909052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -17*l**2\/2 + 8*l - 2. Let s(i) = -6*i + 3. Let r = 4 - 15. Determine r*s(d) + 4*o(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)*t**10)**(23\/4) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/15)\/((-6)\/4). Let k = -17813 - -53438\/3. Which is the nearest to -1? (a) u (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*n - 3*n**2 + 472*n - 1790*n + 461*n + 394*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*o - 1 - 1, -3*i = -2*o + 2. Suppose -5*x = 121*c - 120*c - 25, 0 = 2*x + 2*c - 10. Put 15, i, x in decreasing order.\nAnswer: 15, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 6*w**2 + 7*w + 7. Let v be a(-5). Let i = 8 + v. Suppose 0 = -5*c + j + 10, -i - 3 = -3*c + j. Which is bigger: -2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954117.\nAnswer: 11, 177647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(2 + 0) + (-122 - -133). Solve 5*a + x = 3*f, -a + 1 = -4*f + 3*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190099 is divided by 466?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 4*z - 3*z + (3*z - 2*z + 0*z)*(-1 + 1 + 1) - 2*z - 1 + 1 + 10 + 3*z - 2 - 2*z.\nAnswer: -2*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6 - 1. Let p(c) = 5*c**3 - 2*c**2 + 1. Let l be p(d). Find the second derivative of 2*x**2 + x + l*x - 2*x wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -688.2 - -688.20000455. Round q to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from {l: 5, r: 1, n: 8, g: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16626 and 214985264.\nAnswer: 5542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -849350 and 4.\nAnswer: -3397400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.01, -2\/15, -2\/13, -3\/7, -0.8, -7\/2, -2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*g + 369*g - 292*g as y*g + t and give y.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1176 and 3381?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2756286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1216 (base 12) to base 14.\nAnswer: a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 17*x**2 + 6*x + 125. Let q be g(-17). Calculate the highest common divisor of q and 1127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43034 (base 11) in base 7?\nAnswer: -350330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221000 and 442?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161067, -161063, -161059, -161055, -161051, -161047?\nAnswer: -161043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - a + 1. Let t be y(1). Suppose 0 = -t*b - 2*b. Suppose -7 + 10 = -o. Sort 5, o, b in ascending order.\nAnswer: o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-1 + 1 + 1)*(-2*j - 12 + 12) + 3 - 3 + 8*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 4. Suppose -28*b = -33*b + 15. Suppose -8 = -s + b*s + 4*n, 5*n = 5*s - 40. Let h be r(s). Solve -5*c - q - 15 = -h*c, -3*c + 5*q = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16332.846 - 16357. Round c to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 12*u - 10. Suppose -3*p - 5*n = -255, 85 = 71*p - 70*p - 2*n. Let j be 72\/15*p\/34. What is o(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Suppose 0 = 7*w - m*w - 21. Let u = w + 3. What is the least common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8686 - 144.7786. Round j to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {c: 1, e: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7799065, 7799090, 7799113, 7799134?\n\"Answer: -j**2 + 28*j + 7799038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -681.78 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20050.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*r + 11 = 0, -l - 2*r + 3*r - 1 = 0. Is 64 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b**2 - 3*b + 3. Let o(d) = d**2 - d + 1. Calculate f(j) - 3*o(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-5) + 1*7. Suppose -46 = -4*w + 2*z, j*w = w + z + 36. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s - 4. Let u(h) = h**2 - 1 - 2*h**3 - 8*h + 1 - s - 4*h**2. Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 8*n - 96, 4*o = -32526*n + 32525*n - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -13*p**4\/8 + p**3\/3 - 19*p**2\/2 - 12*p. Let u(j) be the first derivative of w(j). What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 5385*m - 5353*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -320*y + 299*y + 228900. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828.7361 minutes to microseconds.\nAnswer: 49724166000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 2*v - 5. Let o be k(-4). Suppose 0 = -d - 5*g + 123, 5*d = 4*g - g + 475. Let b = d - o. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10 + 36 = 6*y, -2*y + 4 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + (sqrt(6) - sqrt(384)*1 - sqrt(6))) + ((sqrt(132) - ((sqrt(132)*3 - sqrt(132)) + sqrt(132)) - sqrt(132)) + sqrt(132))\/sqrt(12) + 1.\nAnswer: -15*sqrt(11)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-6 + 3 + 0)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1030 (base 8) to base 11\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -163. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + 0\/39 + (-2564)\/(-448) and 97\/3136.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(-4 + 0). Suppose 0 = 3*n - 0*y + y + 12, 2*y - 8 = r*n. Let q = -2 - -3. Sort n, q, 0.4 in increasing order.\nAnswer: n, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1977 + 3943 - 58*o - 1972 to r + p*o and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195909 a multiple of 1236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25*(-8)\/(-2640)*(-16)\/(-20)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -60, -1.8, -363, 2, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11440510?\nAnswer: 2, 5, 199, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-119)\/840*(30\/(-120))\/((-2)\/(-4)) and -107\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 23*h**2 - 4*h + 91*h**2 + 5*h in the form x*h**2 + k + o*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819171253 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6471, -6466, -6463, -6462, -6463?\n\"Answer: -d**2 + 8*d - 6478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a + 3*n - 125, -4*n + 88 = 4*a. Let k(u) be the second derivative of -1\/48*u**4 - 1\/6*u**3 - a*u - 3\/8*u**2 + 0. Suppose k(y) = 0. What is y?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**5\/40 - 5*v**3\/3 - 2. Let h(u) be the third derivative of t(u). Let m(d) = -d. Give h(m(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -364726 and 0.0199.\nAnswer: -7258.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 21*q - 252. Determine v(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -300?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 4*v**2 + 3*v. Let k be l(-3). Let j(z) = 5 + 1 + z - 3*z + k*z. Calculate j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.02 minus 1393932?\nAnswer: -1393940.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -615688.\nAnswer: 31\/615688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3308 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 1, e: 7, v: 4, c: 4}. What is prob of sequence vcf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-404 - 1)\/(2 + -3). Let w(j) = 12*j + 249. Let t be w(-17). What is the highest common factor of t and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*c - 66*c + 202*c - 136.\nAnswer: 34*c - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*x - 11959 = 0, 2*j - 8*x - 7958 = -3*x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 15, -3*r - 2*r - 16 = k. Let h be 206\/4*(-1 + k). Let s = h + 314. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than -91816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -478?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -41*t**8\/24 - 167*t**4\/24 - t**3\/3 - 35*t**2 - 6*t. Find the second derivative of s(z) wrt z.\nAnswer: -11480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - (1 - 51\/36)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -102241353?\nAnswer: -102241402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-134)\/134)\/(2\/(-23)). Find o, given that 3 - 5\/2*o**3 + 11*o**2 - r*o = 0.\nAnswer: 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 7896.\nAnswer: 23\/7896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 73*y + 7. Let x(s) = -3*s**2 + 109*s + 11. Give 8*p(o) - 5*x(o).\nAnswer: -o**2 + 39*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -34.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2101875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1136\/329 - -216\/47. Suppose -8\/7 + m*y**2 + 30\/7*y = 0. Calculate y.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2. Let k(c) = 102*c. Give f(k(w)).\nAnswer: -10404*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 54.88 times 3\nAnswer: 164.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 20. Let u = c + -18.92. Let f = -12.8 - -13. What is the biggest value in u, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*8\/12*((-1008)\/(-80))\/21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 57*c + 6. Let v(i) = -47*i - 5. Let f(o) = -5*t(o) - 6*v(o). Let z(g) = -2*g**2 + 6*g. Determine f(z(d)).\nAnswer: 6*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054716 times 2.5?\nAnswer: 0.13679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -413310*r + 1449. Let k(u) = -1715*u + 6. Let p(q) = 2*a(q) - 483*k(q). Let x(n) = n. What is p(x(f))?\nAnswer: 1725*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/77 and (3\/165)\/((-13)\/117)?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**4 - 445*m**3 + 1974 wrt m?\nAnswer: 16*m**3 - 1335*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 87*g - 405. Determine v(-21).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 107166*a - 1459. Is g(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-7)\/(21\/(-12)) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -44*m - 3. What is b(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 - l + 5. Let v be c(-2). Suppose v*b = -2*j + 3*b + 168, -b + 86 = j. Calculate the remainder when j is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -930 + 1033. What is the remainder when 407 is divided by u?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 11*n - 5. Suppose -21*m + 34*m + 23*m = 72. Calculate h(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + o - 1. Let k be c(5). Suppose r - 156 = -4*x - k*r, 5*x = -4*r + 195. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**6\/45 - l**5\/30 - l**4\/48 - 2*l**3\/3 - 2. Let z(j) be the third derivative of o(j). Factor z(f).\nAnswer: -(4*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let f(v) = 13*v. Let w(i) = -f(i) + 7*y(i). Let n(k) = 535*k + 2. Calculate n(w(c)).\nAnswer: 535*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502 = -17*q + 2*q + 1057 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2*-4*1. Let l = o - 31\/4. Let y = 807\/7 - 115. Sort y, -5, l in decreasing order.\nAnswer: y, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -8.46.\nAnswer: -33.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-39) - 836\/26. Let w be -7*(p\/63 + (-4)\/(-18)). Let a be (177\/30 - 5)*w. Is a < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 - 93\/(-15).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, j: 2}. What is prob of picking 1 z and 1 j?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3425 + 405021?\nAnswer: 411446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/6)\/(-6 + 7 + -6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -0.18738277593067.\nAnswer: 0.31261722406933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 6. Let a = 1552 - 1537. Give f(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*q = 450*q - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5. Give j(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1670*l = 1662*l + 40. Solve 9*d = 7*d, -l*i + 3*d = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 452*s - 451. Let v be d(1). Let p = 0.01 - -0.05. Let c = -2.06 + p. Put c, v, 0.7, -1 in ascending order.\nAnswer: c, -1, 0.7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 430325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86253 + 86793 = -45*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 4 - 10 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-3)*72\/60. Suppose 2*h = -3*h + 5*c + 7905, 1587 = h + j*c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -47 - (693 - 678).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2577*t - 2817.\nAnswer: -2577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -46.03\nAnswer: -9.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgsztgxgszjxxt. Give prob of sequence txt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -45*j**2 - 5*j**4 + 80*j**3 - 35*j + 48 - 22 - 45*j**3 + 24 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17023 = 70*d - 12029 - 9474 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13016956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/7 (c) 1\/32 (d) 0.4 (e) -0.198\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066277576 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000 + -100010001000000?\nAnswer: -100010101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14930 = 8*u - 6*u + 3*j, 0 = 4*u - 5*j - 29794. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 11}. What is prob of picking 2 d and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1192209?\nAnswer: -2384418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppeppepeeppeeeppeee. What is prob of sequence pp?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - i + 252. Is 18 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 4. What is s(-12)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*z**2 + 255*m**2*z - 94*m*z**2 - 3*m*z + 3*m wrt m?\nAnswer: -4*z**2 + 510*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -192, -371, -524, -639, -704, -707?\n\"Answer: 2*g**3 + g**2 - 196*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:15 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13 = 3*n + 2*n, 5*n = -15. Let j be -2*(w - 12\/(-8)). What is the nearest to j in 4, 0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 2*v - 1, 0 = -f - 3*v + 14 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6121*r**4 - 74*r**3 - 81594*r**2 + r.\nAnswer: 146904*r - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012306 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 259, 506, 749, 988, 1223?\n\"Answer: -2*v**2 + 253*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, i: 1, h: 4, u: 2, b: 1}. Give prob of picking 1 i, 2 h, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268*0.2.\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -4) + -2)*(-5)\/(120\/(-2616))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-664)\/581)\/(4\/(-49))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 568*n**2 - 617*n**2 + 481*n**2 + ((-4 + 2 + 4)*(2*n + 0*n - 4*n) - 3*n - n + 6*n)*(24 + n - 24) to w*n + h + g*n**2 and give g.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 18, -37, -166, -393?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 2*t**2 - 10*t + 10*t. Let y be p(0). Suppose 31*m - 33*m + 6 = y. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + -15. Suppose -128 = -4*y + 2*w, 4*y - 2*w + 58 = 6*y. Let j = y + m. Solve -j*u + 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154615 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1941 divided by 23279.\nAnswer: -1941\/23279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -5*l**2 + 0*l**3 + 1\/40*l**6 + 0*l + 0 - 1\/15*l**5 + 0*l**4. What is the third derivative of z(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-18678)\/(-11) + 8. Does l = 1700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.4, -1.6, 0.1, -76, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -57*n**2 + 130*n - 34. Let l(b) = 29*b**2 - 60*b + 17. What is 6*h(y) + 13*l(y)?\nAnswer: 35*y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -4 + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/(-45))\/(4\/(-54)). Suppose l - i*l = -16. Suppose 120 = -7*y + l*y. Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 14352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104775555 - -8678.\nAnswer: -104766877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 x when four letters picked without replacement from xexeexbeexxeb?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 7*f + 1. Let z(q) = -2*q - 36. Let t be z(-20). Suppose 0*m - t*m - 2*i = -24, -2*m - 4*i = -12. Determine p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -0.282755844?\nAnswer: -5.282755844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjtxjtjjtjxtjt. What is prob of sequence jt?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2176)\/(-340))\/(2\/15). Solve 0 = 368*v - 374*v + l for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 + 83*b - 468. Calculate f(5).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6044 (base 12) to base 3\nAnswer: 112021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9, -2*f + 7 = -i - 6. Find the third derivative of 36*n**2 - 5680*n**f + 0 + 1 + 5636*n**5 wrt n.\nAnswer: -2640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040340425 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**2*v + 212*r**2 - 2*r*v**3 - 10*r*v wrt v?\nAnswer: -4*r**2 - 6*r*v**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 4*i**2 + 4*i**2 + i**2 - 3*i**2 - 4*i**2 + (3*i + 2*i - 3*i)*(4*i - 5*i + 0*i))*(1 - 3 + 0*i**2 - 2*i**2).\nAnswer: 18*i**4 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -4*t + 16, 5*t + 3*r = 4. Suppose 0 = t*u + 3*u + 70. Does 11 divide ((-24)\/28)\/(1\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219 and 584.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 12. Let n(m) = -154*m + 765. Let i be n(5). Determine r(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 911*s - 23247. Give j(23).\nAnswer: -2294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 14*n**2 - n**2 - n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 29. Let d be y(-6). Let w be (-5)\/(-15) + (d - (-8)\/30). Which is the nearest to 0.2? (a) 3 (b) -0.09 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 19 - 143 - 3*d**3 + 64 - 2*d**4 - 35 as m*d**3 + f*d + s*d**2 + p + i*d**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 12727\nAnswer: 9\/12727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 159 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874712988 divided by 558?\nAnswer: 1567586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -821 + 826 + (-1 - 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f - 178. Let p(t) = 31. Let q(y) = 6*p(y) + z(y). Let i(j) = -8*j - 5. Let o(w) = 40*w + 25. Let a(m) = -11*i(m) - 2*o(m). Give -8*a(s) + 5*q(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2198 + -1701. Calculate the remainder when t is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10*y + 162 = 0. Do y and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 926047345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + -3 + 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74290 by -1.\nAnswer: -74290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*t + 12, 3*d + 2268*t = 2271*t - 9. Solve 2*f = 2*b + 4, 2*b + 2 = 4*f - d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-28) - 25\/25. Put -7, p, 18 in descending order.\nAnswer: 18, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k - 0 - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22669 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(8\/19))**(-17\/5)\/((o**(-1\/4))**4*(o\/o**(-2))\/o**(2\/15)) assuming o is positive.\nAnswer: o**(-668\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from {u: 9, c: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/(k*(((k\/k**(-2\/11))\/k*k)\/k)\/k*k))\/(k*k**(-1))**(-9\/2)*(k**(2\/7)*k*k*k*k\/(k*k**(-2\/15)))**(-7) assuming k is positive.\nAnswer: k**(-16741\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(-3 + (sqrt(68) - (-5 + -1*sqrt(68) + sqrt(68)))**2) - (sqrt(68)*-3*-6 + (4*sqrt(68))**2*-6)).\nAnswer: -31740 + 380*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(((-2)\/80*1)\/((-519)\/3114)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393797.\nAnswer: 393797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -73756\nAnswer: -23\/73756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -175, -3, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2 - 9*z + 7*z - 2*z. Suppose i - 9 = 4*x, 2*x + 0*x = 3*i - 17. Let p = 8 + x. Let y(c) = 13*c + 6. What is p*w(g) + 2*y(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 20*g + 10. Let a(w) = -w**2 + 12*w + 6. Let l(b) = 10*a(b) - 6*u(b). Let i(q) = -780*q. What is l(i(p))?\nAnswer: 1216800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-5)*(1001\/(-63) - 3) and 23\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*o - 142*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.5237468 to 2 dps.\nAnswer: 103.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29290 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 + 133 = 0. Let o = 68 - u. Solve 2*m - m = o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.92818ng to grams.\nAnswer: 0.00000003692818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45451 + 85500. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*c**2*t*z + 3*c**2*z**2 + c*t + 137*t*z**2 - 2*t*z wrt c.\nAnswer: 24*c*t*z + 6*c*z**2 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.69 - 1.19. What is the closest to 1\/4 in -3, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54955.8 * -0.1\nAnswer: -5495.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7007? (a) 6 (b) -4\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42610010551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*j - 29 = -137*j - m, j + 17 = 3*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express b - b - 3*b + ((-1 - 1 + 4)*(18 + 9 + 8) + 3 - 5 + 1 + (1 + 3 - 2)*(1 + 3 - 3))*(-4*b - b + 4*b) in the form q + a*b and give a.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 466. Does 16 divide o(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(76)*-2*-4)\/(sqrt(400)*2*6) + 0.\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44838, 44825, 44812?\n\"Answer: -13*q + 44851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3675 and 294000?\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.16 - -0.16. Which is the nearest to -2? (a) -2 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -10270.\nAnswer: 61\/10270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 z when four letters picked without replacement from {f: 2, b: 6, y: 4, x: 1, z: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 5, -4\/3, 0.3255, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1001001010100101 (base 2) to base 14\nAnswer: d977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z. Let t be j(8). Calculate the greatest common factor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43311 is divided by 3254?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 12*o**2 - 14*o + 4. Let t be v(-7). What is the remainder when 22 is divided by 1\/(1 - t\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 6 (c) -0.4 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - o + 8, -5*o + 0 - 8 = -4*h. Let j(t) = 84646 - 5*t**h - 84646. Let q(k) = -2*k**2. What is q(j(l))?\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 383400 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168 - 56) + 208 - (46 + 1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -581, -589, -609, -647, -709, -801?\n\"Answer: -i**3 - i - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 18*i - 3. Let v(t) = t**3 - 5*t**2 - 176*t - 17. Let b be v(-11). What is n(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -2\/15 (c) -3 (d) 4 (e) 454 (f) 205 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1090 and 1\/1261640.\nAnswer: 137518760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -257 in 0, 0.8, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424459561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 + 193. What is the smallest common multiple of 6 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -213 + 11 - -220 - (24 - (2 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*k + 3*s, 2*s + 25 = -3*s. Let i = -69 - -132. Suppose -k*w - 142 = -2*b, 63 = 2*b + 3*w - i. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from tvtttvvmtttvtvtm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816250028?\nAnswer: 2, 821, 857567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 + m**4\/4 + 2*m**3\/3 + 3*m**2 + 53*m. Give k(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -58.9. Let x = r - -57.4. Is x at most -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -251. Let g = y + -181.8. Let i = 22 - g. Which is smaller: i or 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/6 + a**2\/2 - 200*a - 11. Let h(p) = -3*p**2 + 3*p**2 - 4*p**2 + 5 - 7. Calculate 4*h(l) + 9*o(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04617 and -29823.50745.\nAnswer: -29823.46128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*k = 1464*k + 74338 - 3778 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 643 + -632. Suppose 9 = -4*t - b, -52 = -s + t. Calculate the remainder when s is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and 493?\nAnswer: -177.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 273033 divided by 1319?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-12)\/(-1))\/6)\/(4\/6). Let m(o) = -5*o**2. Let i(c) = c**2 - 7*c + 12. Let u be i(5). Let p(g) = -5*g**2 - g**2 + g**u. Calculate s*p(d) - 4*m(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**8\/840 + r**7\/105 + r**6\/45 - r**3 - 2. Let a(b) be the third derivative of v(b). Factor a(n).\nAnswer: 2*n**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -7199.8.\nAnswer: 2159.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 19. Suppose u + 6 + 33 = -3*z, -39 = 3*z - 5*u. Determine m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(500) + 3).\nAnswer: 6 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36, -2\/11, 113, -1480?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20868 divided by 1739\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 8:39 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/7))\/((m*m\/((m**(1\/3)\/m)\/m)*m)\/m))**(1\/38)*(m\/m**(2\/9)*m\/(m**(-1\/5)*m))\/(m**0)**(-29) assuming m is positive.\nAnswer: m**(5477\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from iyiiiyyi?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57591 is divided by 19193.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 11. Let x be (-4)\/(-2)*(-3)\/(-12)*2. Let b be 6\/(-5 - x)*0. Calculate v(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 8*v**2 + 16*v - 10. Determine i(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(4 - 1) - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1792, -1\/4, 0.1, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 3)*(-3*d**2 + d**2 - 6*d**2 + (0*d - 2*d - 2*d)*(-14*d - 11*d + 21*d)) to the form h*d**2 + u*d + c and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 - 3*h**4 - 9*h**3 + 3*h**2 + 6*h.\nAnswer: 3*h*(h - 2)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -9*o. Suppose 0*f + 4*f = o. Solve -15 = -f*l + 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(396) - (sqrt(396) + -1*sqrt(396))) - sqrt(396) - sqrt(396))**2*3.\nAnswer: 144*sqrt(11) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - 234?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 129, 482, 1177, 2328, 4049, 6454?\n\"Answer: 19*h**3 - 8*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unsnehnn. What is prob of sequence uhns?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24.9 times 0.4\nAnswer: -9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.33 times 60?\nAnswer: -559.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/11, -2.2 in increasing order.\nAnswer: -5, -2.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146768, -293566, -440356, -587132, -733888, -880618, -1027316?\n\"Answer: h**3 - 2*h**2 - 146799*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*8\/(-128))\/(21\/28)*(-6)\/72?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1187890 or 1187892?\nAnswer: 1187890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, -23 in ascending order.\nAnswer: -23, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = 5*t, 5*t - t = 4*y. Let u = -0.25 - -0.35. What is the closest to t in u, 3\/2, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 3*h + 1. Let n(o) = -o**2 + o. Give 4*n(g) + s(g).\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 8 = 2*l, 3*l = -3*r + 6 - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5741*o**4 + o**3 - o**3 + 819 + 4470*o**4 wrt o?\nAnswer: -5084*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 2, 0, -16, -52, -114, -208?\n\"Answer: -w**3 + 2*w**2 + 7*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*q + 22, -5*a - 4*q = -2*a + 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 2*t)*(-5 + 2 + 5) + t + 3*t - 5*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) + 20\/(-9). Let u be l\/9 + 76\/18. Suppose 2*a + 2 = u*a. Solve -a = -s - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50844897, 101689794, 152534691?\n\"Answer: 50844897*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/77520 and -109\/360.\nAnswer: 232560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3513, 2009, 511, -975, -2443, -3887?\n\"Answer: v**3 - 3*v**2 - 1502*v + 5017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m + 2. Let b(l) = -3*l + 32 - 87 + 30 + 26. Give 13*b(k) - 6*h(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(13 - 412\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 60 = -2*t, 72 = 2*y - 2*t - 3*t. Let h(a) = -7*a - 1. Let i be h(-2). Calculate the greatest common divisor of i and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -4*l + 52. Suppose -l*y = y - 1110. Suppose 4*f - 5*j = 472, -j = 2*f - 0*j - y. List the prime factors of f.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1056888*y + 2097. Let o(x) = 2017*x + 4. What is 8*c(f) - 4194*o(f)?\nAnswer: -4194*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121117.071 rounded to the nearest one thousand?\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2136994 - 0.4\nAnswer: -0.6136994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 - 56*x**2 + 0*x + 8\/3*x**3 - 1\/12*x**4. Give o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9513816 to three decimal places.\nAnswer: 0.951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*h**4 + 2*h**3*z**3 - 8*h**3*z + 10*h**2*z + 6*h*z**2 - 4*z**3 wrt h?\nAnswer: -456*h + 12*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -345 + 320. Let z be (-10)\/(-25) + (-290)\/t. Let w be -4*(-10 - (2 - 0)). Calculate the greatest common divisor of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 e when four letters picked without replacement from eleellerrkeklebebbe?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 786517372.002383 - 786516859. Let d = x - 513. What is d rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 1 - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 952102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112500.366600269 + 112500.312. Let j = w + 0.0546. What is j rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (3*1*sqrt(162)*-1 - ((1*sqrt(162) + -3)**2 + 3)) + -4).\nAnswer: -704 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*g + 14*g + 55*g + 20*g - 20*g - 3 as d + x*g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4160?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19174*m**3 - 2 - 69*m - 19178*m**3 + 13*m)*(-7 + 0 + 1).\nAnswer: 24*m**3 + 336*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -60 + 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, 6, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-2) - 2\/(-4). What is the tens digit of (152\/12)\/(f\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 23. Let z = -11 + t. Which is the smallest value? (a) 0.5 (b) -1\/8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:01 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0 + -4 - -3. Suppose 7 = k + 3*f + 14, 0 = -g*k + 2*f + 18. Let n(i) = k + 10*i - 5 - 3*i. Let r(c) = -2*c. Give n(r(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -105?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51283876 to the power of 1\/2, to the nearest integer?\nAnswer: 7161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3848 + -3848.0000011845. Round c to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.394182 to two decimal places.\nAnswer: -18.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3) + -2 + -1 + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -252 >= -63.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*k - 3, 5*s = -3*k + 10668 - 10670 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttdd when four letters picked without replacement from vddttvdvvdddttddvdd.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 8. Let c = i - 3. Let a be -3 - 0 - -1*2. Sort a, 1, c in decreasing order.\nAnswer: 1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2222 + -1249. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 - -323.1.\nAnswer: -99.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {h: 2, z: 1, g: 1, a: 1, f: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**4 + 2*r**2 + 7*r. Let j(u) = u**4 + 3*u**2 + 6*u. Let k(o) = -2*j(o) + 3*q(o). Find the second derivative of k(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2275995, -4551980, -6827957, -9103926, -11379887, -13655840?\n\"Answer: 4*v**2 - 2275997*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23706 - -24317. Calculate the greatest common divisor of 299 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c + b = -115*c - 103*c - 45*c + 1512, -4*c + 28 = -3*b for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91984210 and 13890.\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5201)\/(-4) - 42\/(-56). Let m(u) = 1301*u**2 - k*u**2 + 8*u**3 - 1. Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 2 + sqrt(405) + -3 - (5 + sqrt(405)*5).\nAnswer: -27*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -14. Let s be (15\/(-6))\/(2\/t). Solve 0*r = -s*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 286 + 350633?\nAnswer: 351030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -17, 2, -54, -7, 26 in descending order.\nAnswer: 26, 2, -7, -14, -17, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 1365, 3077, 5477, 8565, 12341, 16805?\nAnswer: 21957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 0*a**5 - 2*a**5 + (-3*a**4 - 2*a**4 - 3*a**4)*(4*a - 2*a - 4*a) + a**4 - a**4 - 2*a**5.\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 307656870 to the power of 1\/2, to the nearest integer?\nAnswer: 17540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -11. Suppose 3*h + 6 = 3*k, -5*h + j*k + 2 - 4 = 0. Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72 and -0.5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 65. Suppose 15 = r*g + 3*y - 12, 0 = -3*g - 2*y + 17. Solve 4*u = -3*w - 9, -g*u + 4*u + 5*w + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a76 (base 13) in base 12?\nAnswer: 30773","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -3\/2 (c) -7775\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 254, 1\/4, 6, -2\/3?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 106*s. Let w(l) = 3*l**2 + 2. Let h(b) = b**2 + 1. Let n(v) = -2*h(v) + w(v). Give n(a(c)).\nAnswer: 11236*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 5*q + 5, -5*f - 5*q = -5. Suppose f = -5*c - 5*b + 30, -3*b - 2*b - 10 = -3*c. Suppose -693 = -c*t - 2*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.67 - 3.67. Which is greater: d or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 3*u - 2 + 2*u - 5*u + u**2. Let c be b(-5). Suppose -9 = j - c. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**3 - 63*b**2 + 4*b - 9. Let g(p) = -25*p**3 - 188*p**2 + 11*p - 25. What is -4*g(t) + 11*r(t)?\nAnswer: t**3 + 59*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 11. Let k = d + 12. Put k, -1, -5 in descending order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1337, 52, 137 in ascending order.\nAnswer: -1337, 3, 52, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 7*r - 7. Let p be x(6). Let o be (-3)\/6 + 14\/28. Let s(b) = b + o*b - 1236 + 1235 - 10*b. Calculate s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703081231.\nAnswer: 22573, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -72. Suppose 0 = 5*t + 5, -3*i - 5*t + 4 + 3 = 0. Let j be i\/14*(-42)\/(-54). Which is the nearest to 1? (a) 0.2 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 233*z + 2321. Determine q(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*y**3 + 111094*y**2 + 150812*y + 39690 = 0. Calculate y.\nAnswer: -1, -5\/14, 3969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 593.04.\nAnswer: 593.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -2. Suppose 0 = -x*s + s + 5. What is the nearest to 0.1 in s, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 83. Suppose -2*r - 3*r + 370 = 5*b, -4*r + o*b = -264. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c - 14. Let v be x(-3). Let r(p) = -v - 57*p**2 + 5*p + 58*p**2 + 2*p. Give r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(125) - ((sqrt(125) + -1 - sqrt(125))*-3)**2)*-6 - (((sqrt(125) + 0)*-1)**2 + -2*1*sqrt(125))).\nAnswer: 40*sqrt(5) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 425*r + 694 = -978 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647380.8l in millilitres?\nAnswer: 647380800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (19 + -18 + -34).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17440 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (12 + -2 - 10 - 5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:41 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**4\/8 + 302*g**2 + 5. Let a(v) = -6*v + 2*v + 2*v. What is a(d(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/49610 and -14\/492369.\nAnswer: 595766490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1322848 and 330712.\nAnswer: 1322848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1007 + 0.1307. Let n = -0.2 - -0.3. Let i = n - 0.5. Which is the nearest to 0? (a) 3 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -405, 233, 871?\n\"Answer: 638*d - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.9 - 43. Let b = k + 22.100113. What is b rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - r**2 - 4*r**2)*(-2*r - 2*r + 6*r) - 53*r - 190*r**3 - 6 + 3*r**2 + 31*r + 191*r**3 to j*r**2 + g*r**3 + y*r + b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*s - f, s = -4*f + 6 + 5. Let y = s - -8. Let x = 36 + y. Calculate the remainder when x is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 768412*f**2 + 1536830*f + 768416.\nAnswer: -2*(f - 384208)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3200*n - 73. Let a be (4 - 6)\/(6 - 48\/9). Is m(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k + 3. Let r(n) = 6*n - 8. Let p(x) = -6*x + 9. Let l(h) = -4*p(h) - 5*r(h). Determine -2*l(t) + 3*u(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 - -16?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*k**5*x + 3*k**4*x + 506*k**2*x wrt k?\nAnswer: -5820*k**2*x + 72*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48565, 48561, 48557?\n\"Answer: -4*j + 48569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 + 51*w**2 + 2*w + 33. Give g(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 1480\/4 + -4. Sort 2, 1, o in descending order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/3)\/(-64))\/(-1*(-18)\/9)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1505, -2637, -3769, -4901?\nAnswer: -6033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8 - i - 7 - 15. Let x be (-1)\/((2 - 0) + (-55)\/27). Suppose 2*u = j + 2*j - x, 9 = u + 3*j. Give w(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1016620 and 88.\nAnswer: 2033240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5968 and 33298829.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/27 and 58\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -762546*u**3 + u**2 + 4*u - 94930750 wrt u.\nAnswer: -2287638*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 797*l*p**2 + 793*p**2 + 2*p wrt l?\nAnswer: 797*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**8)**(3\/37) assuming w is positive.\nAnswer: w**(-21\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/28)\/(-2))\/((-9)\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 61 - 2*x + 61.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 6570*y**2 + 6573*y = 0. What is y?\nAnswer: -2191, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 3*a, 4*h + 2*a - 48 = -0*h. Calculate the highest common factor of h and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spsi when four letters picked without replacement from pssppipgi.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 402 - 1492 = -144 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34632281 is divided by 234?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 468912 - 695932. What is d rounded to the nearest one thousand?\nAnswer: -227000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16756?\nAnswer: 2, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*u + h + 145, 3*u = -2*h - 166. Let n = -34 - u. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 89*v**2 + 1149*v + 3417. Determine g(-3).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5054 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 168*c + 44. Let r(o) = o**3 + 8*o**2 + 8*o + 16. Let g be r(-7). Let p(b) = 42*b + 11. Let m(t) = g*p(t) - 2*a(t). List the prime factors of m(5).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -14, 5, 0, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.02 - 2. Let l = 0.48 + z. Let f = 2.5 - 3. Sort f, l, 0.1 in descending order.\nAnswer: l, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x**(-5)\/x)\/x*x*x**6)\/(x\/(x\/((x\/(x\/(x\/(x\/x**(3\/7)))))\/x*x))*x*x**(-5\/2)) assuming x is positive.\nAnswer: x**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + 560\/72. Factor -2 + 3*d**4 - 3*d**3 + v + 33*d - 30*d - 9*d**2.\nAnswer: 3*(d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -17. Let c be 18\/(-42)*(-14)\/t. Does -1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*v, p + p + 3*v = 0. Let j = -0.3 - -0.2. Let q = 0.11 - -3.89. Which is the biggest value? (a) p (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -28. What is the tens digit of (298 + (-2 - 0))*1\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/i**(-4\/3)*i*i**7*i**(2\/55)*i assuming i is positive.\nAnswer: i**(-929\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5138001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 295*g - 309*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 0*n**2 + 0*n**3 + n**3 - 8*n**2 + 1. Let q(y) = y**2 + 67*y - 277. Let t be q(-71). Calculate b(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 14*d + 4 + 29*d + 2.\nAnswer: 51*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 + 36*s**2 + 81*s - 11. Let v(c) = c**3 - 7*c**2 - 16*c + 2. Let j(o) = -2*f(o) - 11*v(o). List the prime factors of j(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 4*-2*sqrt(91))\/sqrt(7).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 242 + 730. List the prime factors of o.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*f**4 + 88*f**4 - 63*f**4)*(-1 + 1 + 3).\nAnswer: 309*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251 + 251. Which is the closest to 1? (a) -0.07 (b) 0.1 (c) g (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 640386 or -0.3?\nAnswer: 640386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 - 4*44\/(-1155)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 < 5344\/1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 2*t - 1. Suppose 0 = -11*f - 4 - 7. Determine v(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 k when four letters picked without replacement from {a: 11, k: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*g - 91670, -28 = -4*g + 4. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 7. Give v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 0. Suppose 0 = -v - j + f, -v - 14 = -6*v - 3*j. Calculate the smallest common multiple of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (20869\/(-410))\/(1\/(-10)) is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000062766 to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 12*z - 29. Suppose 0*p - 24 = -3*p. Let k be j(p). Is 39 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*o + 3*o + 37 = 0, 0 = 2*n - o - 11. Solve -f + a + 5 = f, 5*f + n*a - 40 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78284881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**4\/8 - 2*g**3\/3 - 2*g**2. Differentiate f(y) with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*g = -397 - 1894, 0 = w - g - 1156. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1007862694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24636 is divided by 649.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*u - 768, 0*c - 5*c = -20. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, -455 in increasing order.\nAnswer: -455, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -29, -5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n**(-1\/70)*n)\/n)\/(n**(13\/2)\/n))\/(n\/n**(2\/11))**(-20\/13))**(-48) assuming n is positive.\nAnswer: n**(541872\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1862 and 103740?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301345514 a multiple of 3509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13393? (a) 1 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -1\/4*y**4 + 2*y - 160 + 2\/3*y**3 - 3\/2*y**2. Give u(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19325650 divided by -6295?\nAnswer: -3070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9 - 11. Suppose 0 = 4*z - q*d - 0 + 1, -5*z - 11 = -3*d. Let h(w) be the first derivative of w**3\/3 + w**2 + 2*w + 1. Determine h(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 4*u + 5. Let w be r(-5). Suppose -2 = -w*z + 2*z. Let p(i) = 3*i**2 + i + 1. What is p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5 - 256*c**4 + 262*c**3 + 516*c**2 = 0?\nAnswer: -129, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22371941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*f - 25, n - 2*n = 2*f - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7551000282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 79. Let w(x) be the first derivative of -10\/9*x**c + 2\/3*x**4 - 5 + 0*x - 2\/15*x**5 + 2\/3*x**2. What is s in w(s) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.83 + -1.83. Let o = -1.1 - 5.9. Sort -3\/4, r, o.\nAnswer: o, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a - 22*a + 135*a**2 - 12*a.\nAnswer: 135*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 7.8. Let d = -3 + t. Let y = -67 - -67.2. What is the third smallest value in d, y, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4912116 divided by -2388.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 0 - 7*k**2 + 9*k**2 - k**3 + 2*k**3 - 16*k - 8 + 6*k**2. Calculate the smallest common multiple of q(-6) and 24.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**3 - 30*s**2 + 30*s - 30. Let a(d) = -d**2 + d - 1. Let j be (-4)\/(-1) + (-19 - -13). Determine j*l(q) + 60*a(q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1522762*l**5 - 4079461*l?\nAnswer: -30455240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 790.0449 centimeters?\nAnswer: 7900449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 630726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 15. Suppose 559 = m*s + 40. Suppose 2*l = 4*u - l - 127, -l + s = 5*u. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.08 (b) 5 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -721 - -723. Let a(z) = 694*z + 1. Let l be a(2). What are the prime factors of l\/6 - (-1)\/b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 192889, 192976, 193067, 193162, 193261?\n\"Answer: 2*i**2 + 81*i + 192806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(76)*-2)\/(2*-1*sqrt(64)).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 21. Let q be (-112)\/(-6) + (g\/3 - 0). What is the greatest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 - 2*v**2)*(-2 + 0 + 5)*(-35*v + 5*v - 27*v).\nAnswer: -171*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 81128 = -81147. Solve 0 = h - y - 1, -4*h = 20*y - p*y + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.6, 8.53, 1\/9, -0.32, 1 in ascending order.\nAnswer: -0.32, 1\/9, 2\/9, 0.6, 1, 8.53","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose 0*n - 2*n - 5*u + 283 = 0, -3*u + 289 = 2*n. List the prime factors of n.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 12*n**2 + 30*n - 14. Let i be a(-14). Let j = 36 + i. Let b(k) = -3*k + 2. What is b(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 220. Suppose 9 + v = 7*t. Solve -4*l = -t - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((56\/24)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 7 = 20*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -136. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 9:53 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let n(r) = -9*r + 65. Let p be n(7). Factor -6*y + h - y**p + 2 - 8*y**2.\nAnswer: -3*(y + 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 254, 115, -24?\n\"Answer: -139*f + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/(-204))\/(39\/429).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -t + o + 140, 2*o = -t + 91. Calculate the highest common divisor of 3400 and t.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 + 5 = 0. Let s = 87\/5 + f. Suppose 5*p + 23 = -3*q - 0*q, 3*q = 3*p + 9. Which is greater: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 215668113 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.55 + 11.9252. What is f rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -7*s**3\/3 - 4*s + 420. Let u(h) = -195*h**2. What is p(u(o))?\nAnswer: -266175*o**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 1859976.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 61 = -4*c - 44, 4*c - 63 = -3*y. Suppose 9 = -i + y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13b6 + -204e2?\nAnswer: -218a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-342)\/312 + (-55)\/(-44). Which is the fourth smallest value? (a) 12 (b) 4\/11 (c) s (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3737.130369 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 791 - 468. What are the prime factors of m?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-12 - (-17 + -139)) + (-1 - (9 - 3)))\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*h + 2*t - 4880, t + 12272 = 5*h. What are the prime factors of h?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - -12) - (162 + -155)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 85. Suppose -m - y*o + 29 = -469, 5*m - 2511 = o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(-3)*6\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3315, -1328, 739, 2928, 5281, 7840, 10647, 13744?\nAnswer: 17173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 535 divided by 1\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2144 = 2*z, -8*z - 5*o = -4*z - 4283. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 18093269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-48)\/x)\/x)\/x**(-42))\/(x*x**(-17\/2)*x)**(-2\/15) assuming x is positive.\nAnswer: x**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 3794180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -104 (b) -5 (c) -3 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6941, 6668, 6395, 6122, 5849?\nAnswer: 5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 5641 = 8183. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g - 3. What is the remainder when 17 is divided by q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2185 greater than -272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a factor of 4035191712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3318 and -9.\nAnswer: 29862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(984\/2460)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 213 - 75 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2721.04606 to the nearest ten.\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 7:47 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 13*a - 202. Calculate o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 999872313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**(-5)\/(v**10\/v**(-5\/6)) assuming v is positive.\nAnswer: v**(-175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/324094 and -57\/4?\nAnswer: 648188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, -98, -490, -1070, -1856, -2866?\nAnswer: -4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002876088239 to six decimal places.\nAnswer: 0.000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.436 - -0.074. Let h = 0.11 - o. Which is the nearest to 0? (a) h (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 11 = 3*x + 16, x + 5*k + 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) -4\/7 (d) 2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:14 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 2. Let d be z(-4). Find the third derivative of -3*y**3 - 19*y**3 - y**2 + 9*y**d + 5*y**3 wrt y.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4745604nm?\nAnswer: 0.0004745604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + -5)**2 - sqrt(304)) + 0 - sqrt(304) - (sqrt(304)*2 + -5)**2)*4*2.\nAnswer: -12560 + 928*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -135.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-4))\/(1\/(2 + 2)). Let b be (1\/4 + o\/40)\/1. Solve 2*k = -b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39450, 81030, 124744, 170592?\n\"Answer: 1067*d**2 + 38379*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -2131213?\nAnswer: 1\/304459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.3 - 16. Let v = 1.2 + z. Sort -0.02, v, 2 in increasing order.\nAnswer: v, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35\/2 - -319\/18. Let o = -28 - -12. Let v = o - -17. What is the smallest value in a, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96.1 + -90. Let l = i + -6. Let v = -5.593 + 0.593. Which is the biggest value? (a) v (b) 5\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 797*w**2 + 3861*w - 4662.\nAnswer: (w - 1)*(w + 6)*(4*w + 777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-64)\/(-175) - (18\/14 - 1). Is p at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*f - 355*f + 162 = -2*q, 0 = 3*q + 12 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.04619 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = c - y - 26, -10 = -c - 2*y. Suppose -350 = -8*z + 1090. What is the highest common factor of c and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:09 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**4 - 6 + 2*j**4 + 7*j**4 + 2*j**3 as u*j**4 + d*j**3 + w*j**2 + a*j + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11401 is divided by 495?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 14*u - 135 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/13 + 106*p\/13 + 1260\/13 = 0.\nAnswer: -10, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**47\/(r**0)**(-4\/5)*((r\/((r\/(r*(r**1*r*r)\/r))\/r))**(-3))**(-5\/8) assuming r is positive.\nAnswer: r**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2399, -4798, -7197, -9596?\nAnswer: -11995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 7, 5639.\nAnswer: 5\/6, 7, 5639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6085*h - 5295*h - 54510 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2911 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1025 + -10229\/10. Let c = -897\/5 - -180. Find the common denominator of c and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -1364920\nAnswer: -91\/1364920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2694144, 2694146, 2694150, 2694156?\nAnswer: 2694164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -3044?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550 - 210. Let i = 339.4 - c. Which is smaller: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20379*w - 27201*w - 41916*w.\nAnswer: -48738*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3437904 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 617, -4, 4, 8, 3.\nAnswer: -4, 3, 4, 8, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**1))**(-15\/7))**(-36)*(j**0)**(-9)\/(j**(-1))**(-2\/161) assuming j is positive.\nAnswer: j**(1774\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/(-6))\/(-11)*8. Factor 112 - 112 - 10*u**3 + 10*u**2 - 24*u + u**l + 18*u**2.\nAnswer: u*(u - 6)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1314, -5613, -12788, -22845, -35790, -51629, -70368?\n\"Answer: -t**3 - 1432*t**2 + 4*t + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 28 (b) 0.3 (c) 1 (d) 0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w - 38. What is d(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2310\/32)*(12 + 2). Let q = 990 + a. Calculate the common denominator of 57\/54*21\/(-2) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 68?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0851*38\nAnswer: -3.2338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyx when four letters picked without replacement from {y: 9, j: 1, x: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6930 > -5688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3191537 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -142 - -26) + 84?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245722577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 2*r**2 - r - 1. Let v be x(2). Let g be (-2)\/(-6) - (-69)\/9. Let u = v + g. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 - 440*w**4 - 18820*w**3 - 389200*w**2 - 3872960*w - 14839552.\nAnswer: -4*(w + 13)**2*(w + 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, 1.1 in decreasing order.\nAnswer: 1.1, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 109d8 + 49c8?\nAnswer: 155c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 3*o - 10, 0 = 4*o - 3*i - 24. Suppose 0 = o*u - 180 - 216. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25972057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 8*v**4\/7 + 234*v**3\/7 + 58*v**2\/7 = 0.\nAnswer: -29, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*k + 50, 44 = 6*k - 2*k - 4*x. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**4\/16 + 12*u**3 - 837*u**2\/8 + 621*u\/2 - 3203. Determine f so that a(f) = 0.\nAnswer: 3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96*c**2 + 8557 - 8557)*(2 - 3 + 2)*(-1 + 3 - 3) as r*c**2 + y*c + a and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1047929\/22585 - -3\/4517. Let p = 46 - z. What is the fourth biggest value in -2\/7, 5, -0.6, p?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26331 + -9144. Is 4\/(-22) + n\/(-121) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*p - 26, 0 = 4*w - 9*p + 5*p + 44. Let s(h) = -3*h - 28. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12854\/7 - 1836. What is the nearest to -1\/2 in -6, 0.4, -12, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**3 + 3899686*v**2 + 1039653*v + 3?\nAnswer: -18*v + 7799372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5003, 10173, 15493, 20951, 26535, 32233?\nAnswer: 38033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1524*b + 25961. Determine d(17).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12119985.\nAnswer: 3, 5, 269333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112040, -448194, -1008462, -1792850, -2801364, -4034010, -5490794, -7171722?\nAnswer: -9076800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s**3\/3 + s**2\/2 + 3. Let a be n(-1). What is the closest to a in 12, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 20*y**2 - 8*y - 22. Let k(u) = -u**3 + 30*u**2 + 32*u - 41. Let w be k(31). Let t = w - -24. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4 + 1 - u**2 + 3. Let k(x) = -3*x + 5. Let j(p) = 5*p - 8. Let f(c) = -5*j(c) - 8*k(c). Determine g(f(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 2*u = 0. Suppose -y + u*i = i + 4, y + 4*i = -16. Which is the closest to y? (a) 2\/3 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3510208 divided by -3510208.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/6 + 4\/(-6). Suppose 0 = q*f - 0*f. Let p = 115 - 463\/4. Is f smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3814 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14165807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -8 + 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19115 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9123 + 44175 = 1524*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 5*b - 198. What is z(0)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.566155 and 28.7161?\nAnswer: 35.282255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77856149*d**5 - 326*d - 127298.\nAnswer: -1557122980*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6376*n + 80148 = -303*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*m - 246. Let b(h) = m*h + 6*h**2 + 4 - 4 - 97*h - h**3. Calculate b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u. Suppose -5*q + u*q = 2*f - 39, -f = -4*q. Suppose -2*c = 2*c - f. Solve 4*h + 20 = -0*h, 0 = -c*x + 5*h + 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.0122002?\nAnswer: 0.00244004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdz when three letters picked without replacement from ldindzz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2453818 (base 9) to base 10.\nAnswer: 1334735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:12 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/8)\/(-13)*4\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515466670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 4 (c) -8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11)*5 + sqrt(33)\/sqrt(3) + sqrt(11) + -3)**2.\nAnswer: -42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 < 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006786?\nAnswer: 2, 11, 45763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*n + 5*y, 0 = 5*y + 3 - 13 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.261781 millennia to months.\nAnswer: 75141.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 464*q**2\/5 - 376*q - 1888\/5.\nAnswer: 2*(q - 236)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 9\/16*f**3 + 0*f - 67*f**2 + 1\/160*f**5 - 3\/32*f**4 + 0. Factor h(b).\nAnswer: 3*(b - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2*j + j)*(2*j**3 - 4*j**3 + 3*j**3) - 1205 + 2477 - 1210 + 8*j**4 as n*j**3 + q*j**4 + f + t*j**2 + p*j and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7547, -15540, -23533, -31526, -39519?\nAnswer: -47512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 9) to base 13\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7113 - 7110 - 7265 - 2*r + 21488.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (326*b - 18 + 57 - 41)*(1 + 0 - 2 - 3*b**2) as d*b + a*b**2 + s + x*b**3 and give d.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -10. Let j be h\/(18\/(-4) + 4). Solve 20 = j*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -130. Let z(k) = k + 2. Let f(y) = y + 1. Calculate t*f(h) - z(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 65 = -7*j. Let n = j + -8. Suppose 2*z - b - 118 = -4*b, -n*z = -b - 261. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*k - g, -4*k - 3*g - 49 = -29 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (((sqrt(2057) + -1 - sqrt(2057)) + 1 - sqrt(2057) - sqrt(2057)) + sqrt(2057) - (sqrt(2057)*-1)**2*-3) + 4.\nAnswer: -11*sqrt(17) + 6182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-15) + (-14)\/(-5460)*13*2 + -81\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -29. Let f(x) = 14*x**3 + 18*x + 25. Let g be f(-2). Let b = n - g. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 6644 = -22063. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3221 - 2698. Which is greater: d or 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/44 - (-21)\/(-55). Which is the smallest value? (a) -4 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3\/14, -25?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 9. Let a be n(-7). Suppose -a*z - 9 = t, 45 = -0*t + 5*t - 5*z. What is the smallest common multiple of 15 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 570 - 567. Solve c*v + 4*v = -21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/15)\/7)\/(76\/(-12350)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 3. Let c(a) = -a + 6*a - a - 2*a + 2. Let u(g) = g + 1. Let j(f) = 4*c(f) - 7*u(f). Let d(v) = 6*j(v) + 2*o(v). Determine d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/(8\/(-180)). Suppose 5*w + q = -4*q + d, -5*w = 3*q - 20. What is the closest to w in 1, 0.3, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160381.4 + -160380. Let g = 12 + -18. Which is the second smallest value? (a) 4 (b) g (c) 1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30 + -10)*(-2)\/(-8). Solve y*j = j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1881 - -3174. Suppose 4*w - 3*w = h. Suppose -7*k + w = -121. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34629999\/5 + (-32)\/(-160). Round y to the nearest 100000.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (192\/(-25))\/(-4). Let u(o) = -o**3 + 6*o**2 + 16*o + 10. Let z be u(8). Let q be (-6)\/15*(-25)\/z. Are m and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 240 = 0. Suppose 5*t + 2*u - 283 - l = 0, 4*t = 2*u + 308. List the prime factors of t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 3*m**2 - 195*m - 498. What is v(-11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 11*y - 12. Let l be x(-9). Calculate the highest common factor of 54 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 33*f**2 - 35*f + 264. What is the units digit of s(35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27205917.\nAnswer: 3, 9068639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j - 3*j + 4*j)*(3 + 1 - 2) - 4*j - 7*j + 3*j)*(-5*j - 2*j + 0*j).\nAnswer: 70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 45. Let q(c) = -4*c - 101. Let a(k) = 9*d(k) + 4*q(k). Let w(h) = -4*h**2 - 4. Determine a(w(p)).\nAnswer: -8*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-2 - 4 + 5)*(-q + 2 - 2 + (2*q - 4*q + 4*q)*(0 - 7 + 2) + 2*q + 100 - 100)*(-2 + 7 + 4) to the form j + o*q and give o.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + f - 6 = 8, 2*w + 8 = -2*f. Calculate the common denominator of (-42)\/(-8) + w + 182\/96 and -1\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/14916 and 173\/18257184.\nAnswer: 18257184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 + 125*o**2 - 260*o - 29. Let k be t(29). Solve k = -23*m + 47*m - 168 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1387120*h. Let d(m) = -6*m**2. Determine u(d(b)).\nAnswer: 8322720*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 211*w**2. Let n(p) = -8*p. Give l(n(c)).\nAnswer: 13504*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 + 9942. Let i be k(0). Let f = i - 16942. Round f to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*o**3 - 12*o**4 + 104*o**3 + (-o**2 + o**2 - 2*o**3)*(-2*o + 5*o - o) - 2 + 2 - o**4.\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w - 1. Let r be l(1). Let t(o) = -8*o**2 - 9*o. Let s(n) = n**2 + n. Let z(v) = r*t(v) - 4*s(v). Find the second derivative of z(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 1 + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let p be 5 - (-6)\/m - -73. Let s = p - -68. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r - 92. Let x be y(8). Suppose 2*b = -4, -2*j - x*b + 33 = 7. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1318 + -1210. Calculate the greatest common divisor of d and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2. Let q(p) = 2*p - 12. Let h(s) = 6*s - 21. Let v(b) = 4*h(b) - 7*q(b). Determine v(j(z)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2578246524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7134 and 2050?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 take away -880763?\nAnswer: 882115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 6*p + 48 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a = -41*a + 36 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1134, -2208, -3290, -4380?\n\"Answer: -4*b**2 - 1062*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 1769965?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**9\/3024 - w**8\/672 - 17*w**4\/24 + 28*w**2. Let n(v) be the second derivative of r(v). Factor n(o).\nAnswer: 5*o**3*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/66 and 2792\/(-5280) + (-2)\/(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:09 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 72 + 640 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (-2 - -14 - 24) - 77\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7236348 divided by 5.\nAnswer: -7236348\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 27*o - 14*o = -236280. What are the prime factors of o?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -31. Suppose 2*q = 10, 4*d + 0*d + u*q - 548 = 0. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2126*r + 2135*r = 96831. Are r and 10759 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 3*w**5\/40 + w**4\/4 + w**3\/4 + 2*w. Factor k(v).\nAnswer: 3*v*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 453281 and -151?\nAnswer: -68445431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 3*d + 2. Let h be p(0). Suppose -h*a = -7*a + 285. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182489730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, 18, -3, -99.\nAnswer: -99, -3, 3, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from odxvdovxoddooxo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-21))\/((-1)\/((-28)\/16)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*k + 154*b**3 + 2554*b**2*k + 2*b*k + 724095*b + k + 14 wrt b?\nAnswer: -6*b*k + 924*b + 5108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine halves of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704117.7 centuries in months?\nAnswer: 844941240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 40. Let f(t) = t + 8. Calculate 2*a(u) + 11*f(u).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 29 = 2*i + 207, -2*i - 231 = 3*u. Let s = i + 118. Calculate the lowest common multiple of s and (-5)\/(-2)*2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*w**2 + 84*w - 36.\nAnswer: -(7*w - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 30\/1080667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.068 + 0.068. Let o = 30 + g. What is the closest to o in 0.3, -3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (4 + -12) - 57.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -473, -563, -659, -767, -893, -1043, -1223?\n\"Answer: -z**3 + 3*z**2 - 92*z - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-6))\/(4\/8). Let m(q) = -3*q - 4. Let b(f) = 4*f + 5. Let l(y) = t*m(y) + 4*b(y). Let v(i) = -3*i - 3*i + 0*i. Calculate l(v(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + r - 44 = 101, -195 = -5*n - 4*r. Suppose -14*i = -21*i + n. Solve -4*j - 5 = -i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + -21358?\nAnswer: -21440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1040*j + 0 + 1.\nAnswer: 1040*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**3 - 13*z - 9*z**2 - 8 - 2*z - 5. Let x(u) = 4*u**3 + 4*u**2 + 7*u + 6. Let w = 212 + -215. Let j(t) = w*g(t) - 7*x(t). Give j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 10*b**2 + 8*b + 14. Let o(j) = j**2 + 10*j - 2. Let y = -237 + 226. Let l be o(y). Give f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Let c = 212 - 153. Suppose -5*u + c = 14. Sort 4, h, u in increasing order.\nAnswer: h, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 - -43. Let j = -101 - a. Suppose -q + 5 = -3*c, j*c + 6*q = q + 25. Solve l - 1 = c, 5 - 15 = -3*r - 4*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6392274 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 41*g**5\/60 - 25*g**4\/24 + 107*g**3\/6 + 199*g**2. Is r(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36267703967 - 3.\nAnswer: 36267703964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 5*l - 23, 2*l = 18 - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 - 20*x + 3. Let m be h(-4). Suppose m*n = -34*n + 148. Solve -35 = n*u - 11*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7711 + 8239. What is the smallest common multiple of 80 and w?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51153, -51151, -51147, -51141, -51133?\nAnswer: -51123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 12*s**2 + 19*s - 9. Suppose 3*j - 3 = 3. Suppose 3*d + 0*d - j*b = 35, -2*d = -b - 24. What is the remainder when k(d) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060506701 + 0.3?\nAnswer: 0.360506701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 839 = 2*i, -5*n + 4*n = 4*i + 175. Is n bigger than -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (13 + -33 - -15) + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32732 = 3*a + a - 5*u, 2*u - 16366 = -2*a. What are the prime factors of a?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - z + 7 - 1 + 2*z**2 - z**3 to i*z**3 + n + q*z + k*z**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 50 (b) 28\/11 (c) 4\/3 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/10 - (231 + -245 + 17*1). Factor -21\/5 + h*m**2 - 39\/5*m.\nAnswer: 3*(m - 7)*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014355988 to seven dps.\nAnswer: 0.0001436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -270807 + 2?\nAnswer: -270805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183.36030656 + 11.2.\nAnswer: -172.16030656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w**3 + 37*w**2 - 27*w + 2. Calculate f(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1. Let w = d + -0.2. Let y = -0.3 - w. What is the second biggest value in 0.5, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 693*b + 18558. Calculate a(-27).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1706092 litres to millilitres.\nAnswer: 170.6092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20884 - 18721*p**3 - 20884.\nAnswer: -18721*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-36)\/(-16))*16\/(-72)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243*h = -1244*h + 3*m + 27, 0 = 4*h + m + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 1, i: 2, n: 2, p: 1, l: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*d. Suppose -4 = d*p - 6*p. Let k = 244 + -1216\/5. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.83 or -298?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -u - 5*x, 99*x = u + 103*x - 15. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 18, 33, 64, 117, 198, 313, 468?\n\"Answer: j**3 - j**2 + j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(-10)*b)*b)**(-7\/5))**(-50) assuming b is positive.\nAnswer: b**910","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**3\/3 + 9*x**2\/2 - 5*x + 86. Determine b(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 4:23 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11262, -11311, -11360, -11409, -11458, -11507?\n\"Answer: -49*r - 11213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69595699.\nAnswer: 69595699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12951 (base 11) to base 10.\nAnswer: -18448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400289\/24 + -16675. What is the common denominator of 8\/9 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 11*i - 8. Let a be x(11). Let n = 18 + a. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(-10\/19)*(j**(-1)\/j)**8 assuming j is positive.\nAnswer: j**(-603\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3))\/(c*c\/(c\/(c**(-3)\/c*c*c)))*(c**2\/c)**(-14) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55 - -6.55. Let m = 26 - 27. What is the third smallest value in m, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 8)*2\/(-153). Let f be ((-110)\/66)\/(15\/(-6)). What is the third biggest value in f, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - a**3 + 5*a**3)*((-4*a + 2*a + 4*a)*(3*a + 2*a - 4*a) + 8 + 810695*a - 810695*a + 835*a**2).\nAnswer: 1674*a**5 + 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 36663363.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 80 - 81)*(-i + 2*i + 5*i)*(-2*i**2 - 3 + 3 - i**3).\nAnswer: -252*i**4 - 504*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4*l - 4*l)*(0*l**2 - 4*l**2 + 3*l**2)*((-6 + 2 + 2)*(5*l - l - l) + 3*l - 2*l + 4*l - 5*l + 3*l + l).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11720 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1312)\/(-6396)*(-3)\/(-2).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -132, -125, -116, -105, -92, -77?\n\"Answer: p**2 + 4*p - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/83 in -0.5, -72, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(75)\/sqrt(3))*-6)\/sqrt(980).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2934)\/10758)\/((-7)\/11).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442244.\nAnswer: 2, 3, 31, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/2 + 15*x\/2 + 27 = 0. What is x?\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -36*r**2 + 4*r + 8. Let g be j(-2). Let l be g\/(-160)*(-20)\/45. Sort l, -2, -40, 0.4.\nAnswer: -40, -2, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9412499 and -0.1?\nAnswer: 941249.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 4, o: 4, z: 9}. What is prob of picking 4 z?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3727\/77 + 339\/7. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 236. What is s(-12)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.6 + 15.2. What is the fourth smallest value in 1, 2\/19, n, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 5:03 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 12 = 4*g, -229*k + 232*k - 5*g = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Which is the biggest value? (a) 0.5 (b) f (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 67?\nAnswer: 11\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o - 6. Let v = 11 + -8. Suppose -v*m - 96 = 2*a, 4*a = -0*a + 12. Let s = -28 - m. Let g(c) = -9*c + 5. Give s*g(f) + 5*k(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65977283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33261\/(-44348)*(-584)\/6.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - y, -3*y - 9 = -0*y. Suppose -k*j - 6 = 2*t - 1, -4*t = 4*j + 12. Let u = j - -9. What is the lowest common multiple of u and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002501151157 rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomrozooorozooor. What is prob of sequence oz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 15. Let v be u(-7). Let h(j) = 513*j + 15. What is the tens digit of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238932, 477896, 716860, 955824, 1194788, 1433752?\nAnswer: 1672716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27202 is divided by 9062.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -105*c**3 + 14805*c**2 + c - 142. Determine i(141).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 3:24 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6933997006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859139227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 945.9255 + -946.2. Round w to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3409445?\nAnswer: 5, 13, 52453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 1. Let z(k) be the first derivative of 7*k**2\/2 - k - 10968. Calculate -7*q(i) + 3*z(i).\nAnswer: -7*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17752.00014334 - -17752. Round y to six decimal places.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6990730 is divided by 345.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 2*h**2 + 15*h**3 - 5*h**2 + 2 + 5*h**3. Let j be s(2). Find the common denominator of j\/28 + 2\/7 and 109\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*j - 102*j - 97*j - 5*j + 56*j as d + l*j and give l.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2113 - -16941\/8. Let s = -506 - -993\/2. What is the common denominator of k and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 24078?\nAnswer: 120390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -0.9, 132, -5, 3\/23 in decreasing order.\nAnswer: 132, 5, 1, 3\/23, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and 52638.\nAnswer: 52637.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*r*v**3 + 36*r*v**2 - r*v - 2*v**4 wrt v.\nAnswer: -144*r - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75347190.\nAnswer: 2, 3, 5, 837191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 13*p**2 - 14*p - 21. Give h(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + 4*u**2 + 6*u**2 - 2*u - u + 12. Is c(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**4\/2 + f**3 - f**2 + f + 16. What is m(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-312)*(-16)\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1789, -1578, -1367, -1156, -945?\n\"Answer: 211*r - 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21644 divided by 5411.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 10. Suppose 0 = -24*w - 48 - 120. What is x(w)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**2 - 33*x - 1. Let j be 214\/14 + -10 + (-1428)\/(-147). Let b be u(j). What is the second smallest value in 3\/8, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukuuuyxyxx. What is prob of sequence ux?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 22*h**4 + 26*h**4 - h**2 + 45 - 91 + 46 to d*h**3 + f + j*h**2 + b*h**4 + o*h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b - 1. Let j be -1 + 3 + -2 + 3. Let k be t(j). Let r be (-24780004)\/k + (-2)\/(-7). What is r rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + k - 7*k)*(3*k**2 + 5*k**2 - 3*k**2) + 4 - 4 + 2 + 3*k**3.\nAnswer: -7*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19877 and 4013347?\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -36240\/6013 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**10\/10080 - x**7\/2520 + x**4\/6 + x. Let s(t) be the third derivative of d(t). Find the third derivative of s(o) wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 1273 (b) -2\/7 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32291499 and 19155?\nAnswer: 3831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*i - 92*i + 28*i - 124*i to b*i + f and give b.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -32, 0, 104, 5 in descending order.\nAnswer: 104, 5, 0, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 5, s: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1900590*b**2 + 83073*b + 4 wrt b.\nAnswer: -3801180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92851\/12 - 7749. Let i = -261 + 209. What is the common denominator of i\/(-16)*20\/8 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7031, 0.5, 30, -3, 3.\nAnswer: -7031, -3, -0.3, 0.5, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5120, -5455, -5770, -6065, -6340, -6595?\nAnswer: -6830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 404 - 75. Let y = 329 - o. Solve 0 = 4*f - y*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 + 2*y - 5. Let s be h(4). What is the units digit of 8\/(-12) - (-17)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a04 + -4?\nAnswer: 2a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12998 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*b - 4 - 21, 20 = 4*n - 4*b. Let z = -2 + 5. Suppose 3*w + w - 5*s = 68, 0 = n*w - z*s - 72. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5393 + 40564. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 31133572?\nAnswer: -18680143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -40. Let j(g) = g + 15. Let k be j(-12). Suppose z + f = k*z. What is the highest common factor of z and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -146, -90, 460, 1804, 4242, 8074?\n\"Answer: 50*a**3 - 53*a**2 - 135*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 374. Let v(n) = n - 136. Let m(r) = -4*c(r) - 11*v(r). Let i(h) be the third derivative of -h**4\/4 + h**2. Determine i(m(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3 + 5. Suppose -4*a + 16 = -s, h*s = 4*s - 8. Is (-26)\/(a\/(5\/(-2))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*i = 76, 243*w + 5 = 242*w + 3*i. Calculate the remainder when w is divided by ((-2)\/(-4))\/(2\/88).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17692, 35393, 53104, 70831, 88580, 106357, 124168?\n\"Answer: h**3 - h**2 + 17697*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 99*p**3 + p - 320*p**3 + 4 + 37*p**3.\nAnswer: -382*p**3 - p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n + 6. Let t(s) = 1663*s. Determine z(t(b)).\nAnswer: -23282*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5210 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 14*r + 5. Let x be v(-7). Let t be (-4)\/(-20) + 216\/45. Solve a - x*d = -25, 3*d + 10 = a + t*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**24*(((w\/(w\/(w\/w**(1\/4))))\/w*w)\/w)**35 assuming w is positive.\nAnswer: w**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 1. Let w(s) = -755*s + 604. Give -604*b(a) - w(a).\nAnswer: 151*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 19*o**2 - 4*o**4 - 27*o**3 + 27*o**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 9*y - 13. Let a be l(7). Let m be a*5 - (-17 - -28). Is ((-2796)\/(-72))\/((-1)\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*3\/(-18)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(((-5058)\/(-562))\/(606\/2)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957.4017ml to litres.\nAnswer: 0.9574017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 144782387.91 to the nearest one million.\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/40 + 2*x**2. Factor u(g).\nAnswer: 3*g**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + h**2 + 2*h + 2. Let n be g(-4). Suppose r + 105 = 3*i, -3*r = 4*i - 5*r - n. Suppose -2*l = -5*l + i. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3812 + 0.0188. Let r = 28 + -15. Let g = 12 - r. Which is the third biggest value? (a) -0.1 (b) 1\/6 (c) g (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 5. Give g(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -11, 1, -18, 4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d + 7. Let h be l(6). Let o be 2 + 0 + 3\/21*7. Let t(u) = -u**3 + u**2 - u. Let m(c) = 6*c**3 - 3*c**2 + 3*c. Give h*m(p) + o*t(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 44\/243, 9, 0.2, -1, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a3 + 4?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-24)\/(-162)))\/(((-828)\/96)\/23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1258 - 726. Let f = 985 - p. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741599.\nAnswer: 741599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-4 - 2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 - 384*s**3 + 11484*s**2 + 52272*s = 0. What is s?\nAnswer: -4, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40781617 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r - 72. Does 46 divide x(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*p - 135, -3*p + 7*v = 2*v - 97. Suppose p*k - 10 = 19*k. Suppose -q - 546 = -k*c, 4*c - q = c + 819. What are the prime factors of c?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1512 - -1511.8. Sort b, 12\/19, -0.3, 0 in decreasing order.\nAnswer: 12\/19, 0, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544321, -4354546, -14696561, -34836262, -68039545?\nAnswer: -117572306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1872)\/(-56))\/3 + 2. Is 14 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -11, 2.5.\nAnswer: -11, 2.5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 53 = 64 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -63. Suppose 3*a + 0 - 29 = -2*m, 2*a - k = -3*m. Suppose -a*c + 186 = -283. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.6. Let j = u + 1.4. What is the nearest to 1 in -2, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/193, -0.07, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 divided by -2?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -46.\nAnswer: 21\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/5616 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 59 = -17*h + 21 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:44 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 10*v - 7. Let s = 18158 + -18127. What is the remainder when s is divided by m(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = -3*c + 5*c, 4*c - 38 = -3*q. List the prime factors of q + (-3)\/(-3) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0)*(6 - 8 + 1) - i - 28*i + 5*i + 3 - 3 + 5*i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4 = -4*r, 2 = -1426*r + 1424*r + 5*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*k**2 - 19671*k - 19675*k + 80 + 39346*k.\nAnswer: 133*k**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 59251 + 59251 - 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -484928 divided by -4\nAnswer: 121232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 143*j - 3*j + 90*j**3 + 4*j**4 + 94*j**3 - 36*j**3 + 284*j**2.\nAnswer: 4*j*(j + 1)**2*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.15 (b) -0.3 (c) -94\/67 (d) 2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 1. Let t(m) = -22*m**2 - 60*m - 32. Let c(g) = -f(g) + t(g). What is the least common multiple of 8 and c(-19)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5188 by 2594.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5553 - -5560. Let b(q) = q**3 - 7*q**2 + 2*q + 11. What is b(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + p**2 + p + 1. Let x(a) be the third derivative of a**6\/20 - a**5\/12 - a**4\/6 - a**3\/3 + 7*a**2 + 3. Determine -4*i(b) - x(b).\nAnswer: -2*b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 - (-27 - 0). Round i to zero decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-125 - -122)*(-2)\/3. Suppose 3*n = 5*f + 4*n - 18, -2*n = -4*f + 20. Solve f*m = w - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.5714 + -48.31. Round f to two dps.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849951827 is divided by 9468?\nAnswer: 9467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.29, -24, 1672?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73701 and 5?\nAnswer: 368505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11957002, -11957003, -11957004?\n\"Answer: -k - 11957001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1074237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1549100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from iktxkki?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 - -2424425?\nAnswer: 2424602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 9) to base 2\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-70)\/4 + 18)*4*34. What is the greatest common divisor of 22338 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 8*k - 8. Let m be h(-6). Suppose 0 = 2*r - m*r + 4. Let w be 35\/(-14)*(36\/(-15) - -3). Which is the smallest value? (a) -2 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 505 and -421617.\nAnswer: -212916585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let n(z) = 12*z - 10. Let u(f) = 3*f - 3. Let j be (-26 - -11)*6\/(-9). Let d(m) = j*u(m) - 3*n(m). Calculate d(p(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-40))\/((-2)\/(-310)). Let j = q - 54. What is the second derivative of -j + 16*m + 14*m**3 + 39 wrt m?\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 78, -1\/15, -5, -6, -139, -4\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 3, g: 4, w: 3}. Give prob of sequence ew.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 - -0.02. Let u = 3.4 - 1. Let d = j + u. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - 1.05. Let l = 4.2 + v. Let r = l + 0. Which is the closest to 0.1? (a) 2 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 4*h**2 - 3*h - 3. Let n be 3160\/10*3\/(-6). Let z = n - -159. Let i(t) = -t - 1. Give z*u(f) - 3*i(f).\nAnswer: -f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + w**4 - 10 + 2*w**5 + (2*w**2 + w**2 - 4*w**2)*(-2*w**3 + w**3 - 3*w**3).\nAnswer: 6*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)**(1\/27))**(2\/75)\/((r**(-7)*r*r**(-4)*r*r)\/(r**0)**45) assuming r is positive.\nAnswer: r**(5399\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386603 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - r + 0 + 3*r - r - 4*r + 4*r - 4*r + 4*r + (3*r - r - 3*r)*(3 + 3 - 7).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, 22, 210, 462, 772, 1134, 1542, 1990?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3423 + -1?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151614, -306744, -461866, -616974, -772062, -927124, -1082154, -1237146?\nAnswer: -1392094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -414324 (base 5) in base 14?\nAnswer: -4dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 713278*p**3 - p**2 + 13132*p + 5 wrt p?\nAnswer: 4279668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1588 and 2111?\nAnswer: 3352268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38880 divided by -180.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/5 - p**4\/3 + 2*p. What is the third derivative of n(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((sqrt(28)\/sqrt(2))\/sqrt(7) + (sqrt(2) - ((sqrt(16) + (sqrt(80)\/sqrt(5) - sqrt(16)))\/sqrt(8) - sqrt(2)))**2).\nAnswer: 8*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5)\/3)\/(41\/246) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10122 - -10377. What is the greatest common divisor of 165 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*b - 6, 0*g - 3*g = -4*b + 37. Solve 2*o = -0*o + 5*d - b, o - 2*d + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125) - 5*(sqrt(5) + 0) - 5*(-4 + sqrt(10)\/sqrt(2)))**2 - (sqrt(20) + 3 + sqrt(45)\/sqrt(324))*5.\nAnswer: -1325*sqrt(5)\/6 + 551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 35*l**2 - 4*l - 120. Let n be i(-35). Let w(y) = 4*y - 3. Let j be w(4). Let m = j - 9. Calculate the greatest common factor of m and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/5770895?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3568390 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 174101130.\nAnswer: 2, 3, 5, 7, 251, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:32 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06063398984 rounded to 5 decimal places?\nAnswer: 0.06063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*p**3 - 769*g*p**2 + 67178*g*p + 16*g - 50647*p**3 + 9*p wrt p?\nAnswer: 6*g*p - 1538*g - 303882*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 17*k + 14. Let u = 8 - 8. Suppose 5*f - 4 + 84 = u. What are the prime factors of y(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 7. Suppose 0 = m - 4*t - 16 + 2, -m - 5*t = 22. Let j be c(m). Put -2, -3, j in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63991, -63988, -63985, -63982?\nAnswer: -63979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20041337 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12967*z**3 - 35*z**2 - 2938*z**3 + 8*z**2 - 6*z**2 + 16*z - 239*z**2 wrt z.\nAnswer: 60174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(4\/13)*x**(-3\/7)\/x*x**2)**(-2\/13) assuming x is positive.\nAnswer: x**(-118\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 14, 5 in descending order.\nAnswer: 14, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 + 10 = 0. Let h = d - -2. Let b be 2 + h + 8 + -5. Solve 0 = b*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1013*1.342.\nAnswer: -1359.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((42\/(-105))\/((-1)\/(-25))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 15. Let r(y) = -2 - 205*y + 102*y + 102*y. What is 4*m(z) - 30*r(z)?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689825 divided by 205.\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -75158162 divided by 2\nAnswer: -37579081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 2*w**2 - 4*w - 6. Calculate h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 4810*m**2 - 1156805*m.\nAnswer: -5*m*(m + 481)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 136 + 51)*(2*p + p - 2*p) in the form d*p + u and give d.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*6*(-5*sqrt(130) + sqrt(130) + sqrt(130) - sqrt(130)))\/((-4*(sqrt(100) + (-1*sqrt(100) - sqrt(100))))\/sqrt(10)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -12*b - w - 30, 0 = b + 3*w + 10. What is the tens digit of (-24 + 2)*b\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose 2*m + 3*i + 10 = -i, 5*m - a*i = 17. Calculate the least common multiple of 28\/((-8)\/(-4))*m and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 244?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.48. Let h = -0.11 + 0.91. Let i = h - x. Which is the smallest value? (a) -1 (b) -3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 - 0.24. Which is the third biggest value? (a) 0.2 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 14*x\/3 - 76\/9.\nAnswer: -2*(x - 19)*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100013420 (base 5) to base 14\nAnswer: a2a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -845166876?\nAnswer: -845166871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689086?\nAnswer: 2, 344543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18) + (-2009)\/(-369) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -35*(-26)\/(-91) + 22. Sort 8, 4, y in ascending order.\nAnswer: 4, 8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157 - -155) + (0 - -18) + (-3 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1052514420 - 2?\nAnswer: -1052514422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2 + 5*j - 5. Determine t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 3*o - 3. Suppose 5*k = -5*s + s + 37, 5 = k. Suppose 6*h = 3*f + h - 88, s*h = 3. Calculate the remainder when x(6) is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -7 (c) -2\/3 (d) 352\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 8343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.4. Let j = f + -9.5. Let y = 9 + j. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*m + 6, 4*v = 5*v - 4*m - 7. Suppose -186 = -v*p - 54. Calculate the greatest common divisor of 1536 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.7. Let p = 3.3683 - 3.4. Let o = p + 0.0717. Sort o, a, 3, 0.2 in ascending order.\nAnswer: a, o, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -44.1. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aooanaroooaa. What is prob of picking 3 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, f: 4, c: 4, i: 1, j: 5}. What is prob of picking 1 i, 1 c, and 2 x?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*u + 1496 - 1496)*(-1 - 3 + 3 + (4 - 3 + 1)*(-3 - 1 + 2)) as w*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t. Let c(j) = -36*j**2 - 2*j. Let b(v) = -2*c(v) - 6*z(v). Let n be b(1). Round n to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5075 by 25.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 3*t + 1. What is y(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49877*-0.6.\nAnswer: -29926.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1049 by 20398.\nAnswer: -1049\/20398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/24 (b) -79 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 34. What is the remainder when 133 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/8)\/(2\/8). Suppose -75 = -4*y - y. Let b = y - c. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 + 3*w. Let r be o(5). Let p = r + 274. Calculate the remainder when p is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.7 plus -56096.77?\nAnswer: -56049.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**15*y*y**(-19)*y*y assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34675, 69214, 103743, 138256, 172747, 207210?\nAnswer: 241639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3572311, 3572315, 3572321, 3572329, 3572339?\nAnswer: 3572351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -5*c**4\/4 - 65*c**3 - 1995*c**2\/2 - 1805*c - 2359. Let n(m) = 0. What is m?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 + 2 - 7*o**2 + 2*o to c*o + q*o**2 + m and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.01 times 144460?\nAnswer: -6068764.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 1:04 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3564*c. Let y(h) = -407*h. Determine l(y(x)).\nAnswer: 1450548*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/17)*f\/(f\/f**(-5\/2)))\/(f\/((f*(f**6*f)\/f)\/f*f)*f**(1\/7)))\/(f*f**(1\/12)*f\/(f*f**5))**(13\/2) assuming f is positive.\nAnswer: f**(84817\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.0217 + -0.1217. Sort -1, z, 0 in decreasing order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**4 + 6305*z**3 + 16388.\nAnswer: -4*z**3 + 18915*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + b**3 + 2*b**4 + 0*b + 3 - 5 as t + l*b + m*b**4 + c*b**2 + a*b**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1539 in -0.8, -0.2, 950?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20750 to the nearest one hundred.\nAnswer: -20800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 - i**2)*(2 - 2 - 2) + 9*i**2 - 3*i + 5*i - 3*i**2.\nAnswer: 12*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 3. Let c be o(3). Suppose 7 = -4*d - 3*x, 2*d + 3*x = -2*x - 21. Let r be (17 - 18)*(0\/d)\/(-2). Solve r = -2*g - 6 - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*1 + 1 + ((sqrt(1377)*-1)**2 + -3 - sqrt(1377)) - ((-1 + sqrt(1377)*-2 - sqrt(1377))**2 + sqrt(1377) + (0 + sqrt(1377))*-6)) + -4)*4.\nAnswer: -44092 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740337408 + -90529.\nAnswer: 740246879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -62 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83302229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9180 and 7455.\nAnswer: 4562460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 70599952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 r when four letters picked without replacement from {v: 3, f: 5, c: 3, r: 3, q: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 4. Let t(w) = -1. Let s be 3 + 2 + -2 + 1. Determine s*t(l) + k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -1527.\nAnswer: -25959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-3*(-2 - 3). Suppose -3*o - 2*o - t = 0. Let k(j) = j + 1. Calculate k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 18 = 2*z. Sort 3\/4, 5, z, -2 in decreasing order.\nAnswer: 5, z, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 1. Let h(f) = 3*f**2 + 4*f. Give h(d) - 2*y(d).\nAnswer: d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**3\/3 - x**2\/2 - x - 2. Let d be c(3). Solve 5*k = 1 + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -0.1, 4\/31.\nAnswer: -0.1, 4\/31, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787480 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*v**3 - 291*v**3 + 72*v**3 + 80*v**3 + 73*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1603\/5 greater than or equal to -321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-20) - (-1994)\/24. Let f = 83 - z. Does -0.3 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5874 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 8*b - 2. What is the remainder when 17 is divided by z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 71, 86?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**5 - r**5 + r**5)*(3 + 2 + 3) + 2*r**5 + 5*r**5 - 6*r**5.\nAnswer: -23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 - -1. Let b = -87 + t. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 - 44*k - 39. Let l be o(-13). Suppose -l*p = -p - 431125. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4586 - -130. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2119 divided by -1\nAnswer: 2119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -264 + 264.00217. What is q rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 52 - n**2 + 2*n**2 - 7*n - 56*n**3 + 4*n**2 - 74. Let v be -3 + 2 + -5 + 2. Let x be r(v). What is x rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4257 + -4251.784. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.5 (c) 0.4 (d) -2 (e) -0.0058 (f) 338\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 455*d - 150. Let q(z) = -1024*z + 299. Calculate 9*p(g) + 4*q(g).\nAnswer: -g - 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 24.083\nAnswer: 24.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116429*c**2 - 512*c**5 + 116429*c**2 - 2*c**2 + 2*c**2 + 3*c**5 + (-3*c**4 - 6 + 6)*(-c + 3*c - 3*c).\nAnswer: -506*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*w = -116, 5 = 3*w + 2. What is the lowest common multiple of 7 and d?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*s - 84, -153 - 15 = -2*p + s. Suppose 0 = 2*l + l - 2*v - 63, -4*l + p = 4*v. Calculate the highest common factor of l and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(76)*1)**2.\nAnswer: 12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1426264 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415 (base 7) in base 3?\nAnswer: -202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57413135, 229652547, 516718233, 918610193, 1435328427?\nAnswer: 2066872935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165026?\nAnswer: 2, 109, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6\/5))\/d**16*(d**10*d)\/(d**(-4)\/d) assuming d is positive.\nAnswer: d**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -496 + 166. Let u = -48 - b. Suppose -f - 113 - u = -5*w, -f = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 - 5 = 0, x - 181 = -4*o. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.04 - -3. Let z = b + 0.07. Let v = z + -0.02856. What is v rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30152838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008706 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*d*q**2 - 3*b*d*q + 2*b*d + 32*b*q**2 + 2*d*q**2 + 9*d - 15 wrt b.\nAnswer: d*q**2 - 3*d*q + 2*d + 32*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 73 = -53. Let v be (-3)\/(-9)*(10 + -1). Suppose 0 = 2*l + v*l - j. Is l > 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5743 - -2.3743. What is the second smallest value in -0.3, -0.05, -45, c, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + a + 3. Let y(u) be the first derivative of 2*u**3\/3 - 2*u - 2. Let p(q) = 3*v(q) + 5*y(q). What is p(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-48))\/(b*b*b\/(b**18\/b)*b)*(((b*b**(1\/5))\/b)\/b)**(7\/2))**(1\/15) assuming b is positive.\nAnswer: b**(301\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10148.94 + 10149. Which is greater: r or -2.678?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 5*h**2 + 2*h + 6. What is g(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + j + 2 = -2, -77*i + 80*i - 25*j = -135 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + 0 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, -273, -1209, -2679, -4683, -7221, -10293?\nAnswer: -13899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + 8*c + 1. Let q be (4\/6)\/(5\/15). Let d(w) = -4 - 9*w + 0 - 8*w**2 - q + 5. Give -7*a(y) - 6*d(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*i = 3*g - 15, 2*i = g + 5. Suppose 46 = -v + 4*v - u, 0 = v + g*u - 26. Suppose 72 = 4*m - 8. Calculate the smallest common multiple of m and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15226, 60190, 134924, 239428, 373702, 537746?\nAnswer: 731560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*c**(4\/3)))*c**(-21) assuming c is positive.\nAnswer: c**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24755988163677.2 and -5.\nAnswer: -24755988163682.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 403215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 6. Determine i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 18*q. Let a(p) = -6*p - 5. Suppose 4*m - 5*j = -2*j - 36, 4*m = j - 28. Let f(n) = 7*n + 6. Let r(d) = m*a(d) - 5*f(d). Give r(u(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -2 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 93 + 87. Solve 3 = 5*b + o, -5*b + 5*o - o - m = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2 - 10\/4) + -2. Let h(w) = 7*w + 8. Let m(u) = -7*u - 4. Let p(b) = d*m(b) - 2*h(b). Give p(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19551?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 - 858 = 25*g + 13*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**4 + 348*d**3 + 6624*d**2 - 42320*d = 0?\nAnswer: -46, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krvrvvrrvvrrrrrrr. What is prob of picking 2 r and 1 v?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/40 + ((-39)\/12)\/1. Which is the closest to 1\/3? (a) 3 (b) 0.01 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != -1561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 + 6) - (-2 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.92 + -0.08. Let j = -17 - b. Let q be -5*1*2\/(-25). What is the third biggest value in j, 0.3, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b23 - 17?\nAnswer: 11b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -21 + 141. Suppose -2*m = -7*m + s. Let w be 4\/(-4)*(-1 - 8). Are w and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/20 + x**4\/12 + x**3\/6 + 3*x**2 + 18*x. Let a be 0\/1*1\/(-2). Calculate s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5565\/420 - (-11 + 24) - (-309)\/(-4).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000437 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, q: 7}. What is prob of picking 3 q?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -24 + 0 - ((-37 - (41 - 96)) + -21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -676 - -675. What is the closest to 0 in v, 46\/15, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40179291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -707, -1108, -1667, -2384?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d - 6*d + 56 - 15*d**3 - 56 as f*d**2 + q + r*d + z*d**3 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 6*b - 7. Let m be i(4). Let f be m + -3 - (-39 - (1 - 4)). Is 33 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*y - 480*p**3 - 2*p**2*y - 5*p**2 + 276*y wrt y.\nAnswer: 2*p**3 - 2*p**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n**5 + 12755*n**4 - 107805*n**3 + 139405*n**2 - 44345*n = 0. What is n?\nAnswer: 0, 1\/2, 1, 7, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 95\/2 of a micrometer?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*f + 4*d, 2*f + 2034*d = 2035*d - 42. Is f less than or equal to -658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -110001101010001011001100010?\nAnswer: 110001101010001011001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*s - 4, -10*s + 12*s = 5*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-5) - (16 - 164\/10). Which is the closest to -9? (a) -1\/3 (b) 1\/5 (c) 4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13686 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m - 5. Let k(n) = -7*n - 9. Suppose -4*j - 63 + 43 = 0. Let q(h) = 6*h + 9. Let t(b) = j*q(b) - 4*k(b). Let f be t(-7). Calculate p(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v)*(0 - 1 + 3) - 180*v - 1 - 73*v + 14*v.\nAnswer: -237*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*a + 2*a - 62 = 0, 0 = 5*p - a - 74. What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 40.80798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7581 is divided by 138?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12827 * -2\nAnswer: -25654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(j**4 + 3*j**2 - 3*j**2) + 458*j**4 + 6937*j**3 + 744*j**4 - 6934*j**3 + 6*j**3 - 4*j**4 - 6*j**3.\nAnswer: 1196*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/324 and -143\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 51433*t - 3 - 155318*t.\nAnswer: -103885*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 322*a**2*v**2 + 288*a**2*v - 4*a**2 - 3*a - 140489*v**3 - 30 wrt v.\nAnswer: 644*a**2 - 842934*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w = -75316 + 75664 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 48*g + 386. Determine d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t**2)*(-72*t - 29*t - 5*t) - 2*t**3 - 21*t + 2 - 3 + 12*t.\nAnswer: 104*t**3 - 9*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231\/109 or 0?\nAnswer: -231\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 113, 99, 83, 65, 45, 23, -1?\n\"Answer: -a**2 - 11*a + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 554 = -902. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 36 - 36 + 2*l**2)*(-4*l - 2 + 4*l + l).\nAnswer: 2*l**3 - 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + r**3 + 0*r**3)*(-r + 0*r - r + 5*r - 3*r - r + (2*r + r - 2*r)*(2 + 1 - 1) - 3 + 3 + 2*r + r - 2*r + 4*r + (-1 + 0 - 1)*(2 - 2 - 2*r)).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124861 + 18479507\/148. What is the common denominator of o and 27\/8?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 299, 596, 893?\n\"Answer: 297*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-12*m + 10*m + 14*m) + (3 + 0 - 2)*(-m + 2*m - 3*m) - 4 + 4 + m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -27*m - 48 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1061025199546+-0.4\nAnswer: -1061025199546.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14908 = -300*g - 992 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*v + 38*v + 51*v)*(0 + 2 + 0)*(-3*v**2 - v**2 + 3*v**2) + 25*v**2 + 54 - 17*v**3 - 50 + 18*v**3 to the form m + o*v**2 + t*v**3 + b*v and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 52. Suppose -156 = 21*x - 9*x. Let d be w(x). What is the nearest to d in -2, -6, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1 - -422) + 27 + -26. Let v = w - -658. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7237*j + 7330*j + 7799*j - 118*j - 6633*j.\nAnswer: 15615*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 48*r - 21412 + 21412. Let l(t) = 5*t**2. Calculate l(c(v)).\nAnswer: 11520*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 - 160. Let b(t) = t**3 + t + 1. Let x(h) = h**3 - h - 1. Give j*x(u) - 2*b(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 302677 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36168 - -0.36. What is q rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 + 2\/7*x**4 + 38\/7*x + 6*x**2 + 18\/7*x**3.\nAnswer: 2*(x + 1)**3*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17704 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {w: 3, z: 2, r: 1, g: 4, d: 1, s: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*m**5 - 981*m**4 + 15675*m**3 - 62883*m**2 + 60810*m - 12600 = 0. Calculate m.\nAnswer: -60, 2\/7, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301313 (base 5) in base 15?\nAnswer: -7708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -1 - 19. Let c = v - 12. Let f(l) be the first derivative of -l**2 - 2*l - 5. Calculate f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 8*s**2 + 6*s - 6. Let d be i(-7). Let g(p) = -74*p**2 - 1. Let u be g(d). What is the least common multiple of (u\/(-20))\/(3\/16) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + (-1 - 0) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/132)\/((-52)\/(-208)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b20557 (base 12) in base 7?\nAnswer: 100001506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3 + 1. Suppose -x + k*x - 6 = 0. Suppose x*z = 2*b - 30, -4*z + 9*z + 36 = 2*b. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 18. Let m be p(-8). Suppose -5*y + 364 + 221 = m*o, 4*y + 935 = 3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 52492.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dooo when four letters picked without replacement from oood.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 4*x - 4. Let z be n(-3). Suppose -5 = -5*u + y, z*u - 4*y + 3 = 14*u. Solve -5*d = -6 + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-7 - -10) - 2) + -3 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18955.\nAnswer: 5, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:04 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z**2 - 7*z + 9. What is the smallest common multiple of g(3) and 189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/10)\/r*r)\/r**(2\/5))**(42\/5) assuming r is positive.\nAnswer: r**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 72 = 5*r, 7*n = 4*r + 2*n - 66. What is the remainder when 27 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 11*n**2 - 7*n - 19. Let w be g(-12). Let y = 11155\/7 - 10600\/7. Let k = w + y. Are 12 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*j*s**2*y**2 + j*s**2*y + 7*j*s*y**2 - 85*j - 2*s**2*y + 14*s*y**2 + 64*s*y - y**2 wrt y?\nAnswer: -50*j*s**2 + 14*j*s + 28*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1459*c - 107. Let h be t(17). Calculate the remainder when (-4)\/6*h\/(-112) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -70. Suppose 0 = -2*t + 4*l + 182, l = 3*t - 2*t - 95. Suppose -t - 29 = -g. What is the greatest common divisor of g and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 25 = 0. What is the least common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1151\/756 + 103\/108. Find the common denominator of 13\/48 and y.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -176*t**2 + 128*t + 128. Let y(i) = 7*i**2 - 5*i - 5. Let o(b) = -5*q(b) - 128*y(b). Let d(f) = 8*f. Determine o(d(v)).\nAnswer: -1024*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 700*w**3 - 33750*w**2 - 607500*w - 2278125.\nAnswer: -5*(w + 5)*(w + 45)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15137114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -12. Let f = 4 + a. What is the closest to -1 in f, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -228\/5 + 224\/5*t + 4\/5*t**2 = 0. Calculate t.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from cwcveabvcbvcabcvbaa.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0 + 0*x + 1\/120*x**5 + 2\/3*x**3 - 3\/16*x**4 - 8*x**2. Solve z(q) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002212 - 2?\nAnswer: 1002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 375, 47, 5, 2, 0 in descending order.\nAnswer: 375, 47, 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:20 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -76*y - 37. Suppose -18*r + 41*r = -23. Calculate the remainder when 231 is divided by g(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 3, u: 1, m: 3, h: 6}. Give prob of picking 2 k and 1 h.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-12))\/((-1)\/4). Let f(y) = -m - 2*y - 1 - y - 4*y. Let s be f(-5). Calculate the greatest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + 52\/(-14). Let k(x) = -8*x + 3. Let i be k(y). Suppose 4*l - i = -l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5) + 0) + 2 + -1.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/555 and 101\/1480.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*((-516)\/(-28) - -3). Let d be (-2236 - 4)*y\/(-4). What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179\/(-4) + 6\/(-14) + (16 - 8715\/588).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**2. Let g(f) = 7*f**2. Let y(q) = 5*g(q) + 3*h(q). Let k(c) = 8*c**2. Calculate k(y(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 5, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21561*g**2*h**3 - 5*g*h + 329*h**3 wrt g.\nAnswer: 43122*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -37, -67, -117, -193, -301, -447?\n\"Answer: -c**3 - c**2 - 6*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000564764929 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**2 + 20*a**2 - 16*a**2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -833*a*q**4 + 3*a*q**3 + 354*a*q + q wrt q.\nAnswer: -9996*a*q**2 + 18*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63927713*n**3 - 62871243 wrt n?\nAnswer: -191783139*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -231*o + 246*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 3. Let n be 4 + (y\/4 - 1). Calculate the greatest common divisor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.84 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -841278, -841287, -841308, -841347, -841410, -841503?\n\"Answer: -i**3 - 2*i - 841275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1\/2, 14, -1.263, 1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -114416081?\nAnswer: -114416090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2432176.00071 - -2432138. Let p = -0.3 + -37.7. Let l = p - t. Round l to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:16 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -106*g - 3. Let o be q(-5). Find the common denominator of 3\/(-6) + o\/102 and -65\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*a + 6488 = 6495, 7 = -5*j - 3*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a = 37, -2*c + 2*a = -a - 57. Let l be 14\/c*42\/4. Suppose 11*d = l*d + 392. What is d rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1174157*z**2 + 1212841 wrt z?\nAnswer: 2348314*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2236330990.2 to the nearest 10000.\nAnswer: -2236330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17.3, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (51 - -4 - (81 + -69) - (-2 + -5)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 4\/45757 (b) -2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 7*f - 39. Calculate q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9))**(-46)\/(a**20)**9 assuming a is positive.\nAnswer: a**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111, 114, 117, 120, 123?\n\"Answer: 3*p + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d**4 + 333 + 185*d**3 - 1305*d - 138 - 935*d**2 + 1840*d + 3*d**4 + 4*d**4 = 0. What is d?\nAnswer: -13, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Let w(o) = 3 + f + o + 33 - 6. Is w(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1136 by -4997.\nAnswer: -1136\/4997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 2*h + 2. Let n(c) = -7*c**2 + 5*c + 5. Let z(y) = 5*k(y) - 2*n(y). Let d(t) = -1 + 1 - 157*t**2 + 153*t**2. Give d(z(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 - 2*d + 2*d**2 + 7*d**2 - 12*d**2.\nAnswer: -3*d**2 - 2*d - 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o - 18563 + 60631. List the prime factors of o.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + -1.5. What is the biggest value in h, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1146051*v + 4584202. What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*((-20)\/25)\/(6\/20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14*n - 19. Let b be w(-2). Let u(z) = z**2 + 3*z + 60. List the prime factors of u(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2525)\/(-5050))\/(((-2)\/(-1*6))\/1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a4d37 - cc?\nAnswer: 2a4c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*b - 2128 + 538 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 17*p - 11. Let y be a(-16). Suppose -2*u - y*u + 182 = 0. Suppose -u*r + 47 = -25*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0108359 rounded to 4 decimal places?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*d + 71*d - 284. Let p(b) be the first derivative of 0*b**4 + 3*b**3 - 14\/5*b**5 + 0*b - 12 + 0*b**d. Find the third derivative of p(w) wrt w.\nAnswer: -336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*x = 10, -2*x = -5*r - x + 10. Factor 6*z**2 + r - 2*z**2 - 4*z + 0 - 2*z**2.\nAnswer: 2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 - c + 1. Let r(s) = 21*s**3 - 6*s**2 - 6*s + 5. Give 6*i(x) - r(x).\nAnswer: -15*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*u - 6*m - 100, -3*u + 80 = m. Suppose 3*v - u = -2*v. Solve v*r - r + 20 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 68883942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -24. Solve u - 4*k = l, u - 4 - 5 = 3*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n = 4*r - 20, -r + 2*n = 6. Suppose -6*k + 16 = -r*k. What is the first derivative of 2*l**2 - k*l**2 + 0 - 5 + 4*l**2 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 6*o**2 - 2*o - 14. Let k be y(5). Let l = -9.2 - -14. Let h = 5 - l. Which is the nearest to 2\/5? (a) h (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 776 = 12*i. Calculate the remainder when i is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1650)\/100*(-2596)\/6?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3436 divided by 859\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 259*c**2 + 1080*c - 105. Calculate s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 + 2*g**2 + 8*g**5 + 2*g**2 wrt g?\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*k - 89*k + 18*k)*((-4 + 1 + 2)*(1 - 2*k - 1) + 1 + 2*k - 1).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.2. Let r(m) = m**2 - 6*m. Let g be r(6). Suppose -40*y + 35*y = 0. Which is the closest to y? (a) 0.3 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*r - 2*r - 27*r)*(-16*r**2 - 28*r**2 + 12*r**2) as t*r + v*r**3 + f + a*r**2 and give v.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + 4*f**4 - f**4 + (-8*f**2 - 3*f**2 + 2*f**2 - 3*f**2 + 2*f**2 - f**2 + (-1 + 0 + 0)*(5*f**2 - 3*f**2 - f**2))*(4*f**2 - f**2 - f**2).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30279168?\nAnswer: 2, 3, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -523, -0.41, -0.13 in decreasing order.\nAnswer: -0.13, -0.41, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*x**2 - 4213*x**4 - 5373*x**6 - 3 + 8421*x**4 - 4208*x**4 wrt x.\nAnswer: -644760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308500 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 307 - 39 + 80 + 363 to j + g*s and give j.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4, 5, -1\/4, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 7*s + 4. Suppose -2*a - 9 = 1. Let t = a - 2. Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + sqrt(30)\/sqrt(90)) - sqrt(3)) + -1*sqrt(243))**2.\nAnswer: 961\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2365 and 105479?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000092026 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**5\/20 - 15*x**4\/8 - 75*x**3\/4 + 93. Factor w(l).\nAnswer: -l**2*(l + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*n**2 + 53*n + 27*n**2 + 3*n - 20*n - 5*n as w + s*n**2 + t*n and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8009, 16027, 24045, 32063, 40081?\n\"Answer: 8018*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*c**2 + 372536*c - 3429024.\nAnswer: 4*(c + 18636)*(5*c - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 302111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22055 and 0.11?\nAnswer: 22054.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/44023 and -73\/12578.\nAnswer: 88046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/12)\/((56\/48)\/7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7037)\/(-28148)*4*53.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(36)\/(sqrt(972) + 2*sqrt(972)).\nAnswer: sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -310\/3*y**3 + 5\/6*y**6 - 18*y**5 - 105\/2*y**2 + 0*y - 75*y**4 + 208. Let f(h) = 0. Calculate h.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85607262.\nAnswer: 2, 3, 13, 41, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w + 15 = 46*w. Suppose 1500 = w*n + 159. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, f: 1, l: 1, n: 2}. What is prob of sequence nd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71490 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 - 150948*g**2 - 3771296*g - 3620352 = 0. What is g?\nAnswer: -37712, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/6432 and 113\/33768?\nAnswer: 135072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592\/(-5670)*5\/2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = w + l, -5*l + 31 = -3*w - 7. Let s be (-14)\/(-35)*(-2 + (-52)\/w). Is 1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcbqebjebccbct. What is prob of picking 1 t and 1 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 40*m**2 - 39*m + 94. What is c(-41)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4017 divided by 53.\nAnswer: 4017\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 47*h + 400. Let d be t(10). Let u be (-5 - -4)\/(1\/(-19)). Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-41)\/65. Let v = -7 - -6. Is w smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from eeaeeaaeaaaeaaea.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 33.24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1602310385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3933661, -7867335, -11801009?\n\"Answer: -3933674*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 - 2*h**4 + 19*h + 9*h**2 - 4*h**2 + 3*h**2 + h**2 to y + t*h**3 + l*h + k*h**2 + n*h**4 and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -482*x - 155*x - 215*x - 316*x + (2*x - 3 + 3)*(3 - 3 - 1).\nAnswer: -1170*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -5.3. Let y = 2.1 + -2.05. Which is the smallest value? (a) -1\/4 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c**2. Let f(j) = -30*j. What is f(v(r))?\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-70)*6\/(30\/25)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20759860 and 61\/650100?\nAnswer: 311397900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/7 - 14\/49. Let a be ((-4)\/(-6))\/(t\/(-57)). Suppose 0 = -0*y - y + a. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(1300) + 1))**2 + ((sqrt(1300) - (sqrt(1300) + 2 + sqrt(1300)))**2 - sqrt(1300))*-5.\nAnswer: 350*sqrt(13) + 26004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18055900 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -8) + -18 - (0 + 7) - 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:59 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 5}. What is prob of sequence hhu?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 557*b**2 - 191*b - 1079. What is the hundreds digit of a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (0 - 2) - -3) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10116343 and 16031?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 74*d**2\/3 - 196*d\/3 - 272\/3.\nAnswer: -2*(d - 34)*(d - 4)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*i**3 + 29*a*i**2*r**2 - 14819*a*i**2*r + 3*a*i*r**2 - 3*a - 76*i**3*r**2 wrt r.\nAnswer: 58*a*i**2 + 6*a*i - 152*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136503427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 7*z - 3. Let r be n(-3). Let d be r + 0 - (-7195)\/5. Is d - (-1 + 1) - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*6\/(-12) + (-33)\/(-66)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5152 and 62629?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -3 (c) 2 (d) 0.4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-6)\/4*-1). Let t = -0.86 - -0.8. Let s = 0.04 - t. Which is the third biggest value? (a) 2\/13 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601 = -19*v - 22*v - 232 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*h - 3299, -4*i - 3*h + 2499 + 4164 = 0. Let b be (-2)\/11 + i\/66. Solve 0 = -3*p - 2*p - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1703, 3483, 5261, 7037?\nAnswer: 8811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101011010011111101011 + -101?\nAnswer: -111101011010011111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137212*p**5*q - 46*p**4*q + 10139*p + 3*q + 25 wrt p?\nAnswer: 2744240*p**3*q - 552*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/((-1 + -2)\/(-6)). Let q = d + -15. Let p = 0 + 1. Calculate the lowest common multiple of p and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {g: 1, u: 1, n: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 87. Let f(m) = 6*m - 8. Let a(r) = 18*r - 23. What is l*f(z) - 6*a(z)?\nAnswer: -6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o**2 - 2*o - 1. Suppose m = -6*m. Suppose 5*w = -m*w + 25. What is the lowest common multiple of 20 and n(w)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3058, -23922, -80548, -190816, -372606?\n\"Answer: -2980*g**3 - g**2 - g - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 12. Differentiate l*c - 7*c + 2*c - c - 8 with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - s = -6, -m + 2*m + 8 = 3*s. Let j be (m\/(-4))\/(19\/(-8)). Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(2\/(-8) + (-9)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127221697 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/37763 and 65\/1781727.\nAnswer: 19598997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/24 + j**5\/2 - 15*j**4\/8 - 2*j**2 + 30*j. Factor f(x).\nAnswer: -5*x*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + (0 - -1) + -11 + 9. Suppose 0 = a + 4, -5*c - 4*a = a + r. Let j = c - 8\/3. Which is smaller: -64 or j?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42578.\nAnswer: 2, 61, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 12690.4248478.\nAnswer: -12700.4248478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.2209\nAnswer: -0.6627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4006*x**3 + 13*x**2 - 137*x + 7151. Let w(z) = 1335*z**3 - 4*z**2 + 42*z - 2384. Let j(v) = 4*s(v) + 13*w(v). Differentiate j(a) wrt a.\nAnswer: 3993*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + 81 + -92.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 746000, 1492238, 2238476?\n\"Answer: 746238*b - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110396 and 13124?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1787\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*1)\/(sqrt(108)*1).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(125))*-3)**2*5 - (sqrt(125) + -6*(-2*sqrt(125) + sqrt(125)) - 1*sqrt(125)*6)**2)*3.\nAnswer: 16500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390\/(-455)*(-49)\/15?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1196.\nAnswer: -5\/1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7352963.5 - 0.\nAnswer: -7352963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/181194 and 33\/8214128.\nAnswer: 24642384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p**2 - 10*p + 3. Let n be c(4). Suppose 18*r = -n*r + 58. What is the highest common divisor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1695.32 to the nearest integer.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 169*d**3\/2 - 117*d**2\/2 + 27*d\/2 - 163. Factor m(j).\nAnswer: 3*(13*j - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142212421223 - 1?\nAnswer: -142212421224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 2*g = -10*r - 39592, 4*r = -g + 31658. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1550640\nAnswer: -775320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1522?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**2 + 10*y + 6. Let c(s) be the first derivative of -s**3\/3 + s**2\/2 + s - 2118. Give 6*c(l) - t(l).\nAnswer: 3*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 126 - (-24)\/16*-4.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 4*y**2 - 5*y + 15. Let n be h(4). Calculate the common denominator of (-2)\/18 + ((-3124)\/720 - n) and (-22)\/36 + 2\/(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + ((sqrt(320) + -2 + -3)**2 - (-4 + -1 + sqrt(320))) + -5*(1 + sqrt(320) + sqrt(320) + 1 + sqrt(320) - sqrt(320)).\nAnswer: -168*sqrt(5) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 362\/336 + -16 + (-3939)\/(-234) and 41\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**8)**(4\/21) assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3514283 centuries in decades?\nAnswer: 3.514283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -159 = -68\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 134198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from solyolmmz. What is prob of sequence sz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2343*g**5 - 1669*g.\nAnswer: -46860*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11697311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 - 3*t**2 - 10 - t - t**4 + 10 to the form z*t**3 + a + b*t + j*t**2 + x*t**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 0.8, -10\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k + 2. Let d = -43 + 46. Give r(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/(h*h**(2\/3)\/h))\/h)*h)\/(h*h**6)*h*h**(-7)*h*h*h*(h*h**(-5))\/h*h assuming h is positive.\nAnswer: h**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {e: 5, k: 4, t: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -7 + 25 - 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x\/(x**(4\/5)*x))*x)\/x**(-1))\/(x**0)**(10\/9))**31 assuming x is positive.\nAnswer: x**(744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*m - 1\/5*m**3 + 2\/5*m**2 - 2\/5 = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let f(n) = 80*n - 1. Determine h(f(s)).\nAnswer: -12800*s**2 + 320*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/8*160\/(-100). Sort 3, 2, g, -59.\nAnswer: -59, 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/15*20\/8. Let a = 1\/156 + -317\/780. Sort q, -1\/4, 1, a in increasing order.\nAnswer: a, -1\/4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 2*t**2 - 3*t - 6. Let m(h) = 4*h**3 - h**2 + 3*h + 7. Let x(y) = -3*a(y) - 2*m(y). Calculate x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-13) - 50\/(-325). Find the second derivative of -301 + d**2 + x*d - 11*d**2 - 306 + d**3 + 600 wrt d.\nAnswer: 6*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 3*c**2 - 153*c - 9. Let u be p(14). Let h = 7 + -4. Put u, -7, h in descending order.\nAnswer: u, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 546\/468 + (-79)\/78. Let j = -6.06 + 0.06. Let u = j - -5. Which is the nearest to -1\/3? (a) u (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 56*x**2 + 5*x - 239. Let i(g) = -209*g**2 - 19*g + 955. Calculate 15*a(q) + 4*i(q).\nAnswer: 4*q**2 - q + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 27712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94.6 + -89.6. What is the closest to 0 in 2\/17, n, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*u**3 + 667789*u + 92301392 with respect to u.\nAnswer: 228*u**2 + 667789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5652*x + 27965. Give f(-5).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 82*g**3 - 43*g**2 - 5*g + 3. Let s(p) = 42*p**3 - 21*p**2 - 2*p + 1. Let z(a) = 2*k(a) - 5*s(a). What is the third derivative of z(c) wrt c?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-22))\/((-954)\/(-212)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1477773\/8 - 184373. Let c = 349 - n. Suppose 1\/8*s**4 - 1\/2*s + c*s**3 + 0*s**2 + 0 = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Let d be ((-20)\/(-18))\/(-5)*-3. Which is the closest to 3\/4? (a) d (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)\/d**(3\/7)*(d**6*d)\/(d\/d**(-2\/5)))**(-1\/63))**(11\/4) assuming d is positive.\nAnswer: d**(-1199\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:39 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 632130 to the nearest 1000.\nAnswer: 632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64246 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4380408187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -7. Let t(s) = -s**3 + 4*s**2 - 5*s + 6. Let k be t(3). Let v = 95.4 - 95.3. Which is the closest to v? (a) k (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7679\/4 - 1928. Do b and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -108, -1, 4 in decreasing order.\nAnswer: 4, 0, -1, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/16 - 105\/(-20). Let k(s) = -5*s + 2. Let b(t) = -6*t + 2. Let l(h) = x*k(h) - 4*b(h). Determine l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -19*w**2 - 4*w + 9. Let u(p) = 13*p**2 + 3*p - 6. Suppose -327 = 8*h - 383. Determine h*u(a) + 5*r(a).\nAnswer: -4*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ca + -11f?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 737*g + 735*g)*(2 + 1 + 1 + (2 - 2 + 3)*(-4 + 4 - 2)) + (-5 + 3 + 1)*(-4 + 4 - 3*g) to n + w*g and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 38. Let x(f) be the third derivative of 1\/40*f**6 + 3\/16*f**4 + 0 + 19*f**2 + 9\/80*f**z + 1\/8*f**3 + 0*f. Factor x(s).\nAnswer: 3*(s + 1)**2*(4*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3876 and -145\/204.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**2 + 1\/120*p**5 - 12 - 1\/8*p**4 + 0*p - 7*p**3. Let o(x) be the third derivative of f(x). Calculate o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14917, 14913, 14905, 14893, 14877, 14857?\nAnswer: 14833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/12878 + -972271\/77268. Let c be 449919\/21 - 4\/(-14). Let d = -471259\/22 + c. Calculate the common denominator of b and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*h**4 + 62*h**2?\nAnswer: -1704*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 8\/(-12))\/(8\/27483972). Let k = 4063331 - s. What is k rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59\/14? (a) 0.41 (b) -1 (c) 0.3 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -188 + 101 + 58 + 118?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 10*g - 112196178. Let p = g - 45686178. Suppose 4*m + 5*m = -p. Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 9*j**2 - 7*j**2 - 4*j**2 - 44 as d + g*j**2 + q*j and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + v = -454, -2*l - 3*v + 1146 = 3*l. Let c be (-2 + 3)\/(4\/l). Let y be ((-15)\/(-10))\/(6\/152). What is the highest common divisor of y and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37532476 + -1?\nAnswer: 37532475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*d**2*t + 6*a*d**2*w - 5*a*t*w - 5*d**2*t*w - d**2*w + 2*t*w + 2 wrt a.\nAnswer: 3*d**2*t + 6*d**2*w - 5*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3033\/22242*(-33220)\/30.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97561 divided by -1?\nAnswer: 97561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 152*b**3 - 2388*b**2 - 19352*b - 16810.\nAnswer: -2*(b - 41)**2*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16970\/(-11879) - 150\/(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a9 (base 12) in base 11?\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**20)\/q*q*q)\/q*q*((q**3*q)\/q)\/q assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*s**3 + 2*s - 3 - 28*s**3 - 1 in the form b*s**2 + d + u*s**3 + v*s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460331 is divided by 58395.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -233. Sort -0.12, -2\/13, -1, m in decreasing order.\nAnswer: m, -0.12, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000720155581 to six dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -1108 + 1103 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007850 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.23 + 0.03. Let n = 64.9 + -65. Which is the smallest value? (a) n (b) l (c) 1\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3708 and 19144507.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615713 is divided by 307852.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 (base 6) in base 2?\nAnswer: 11111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 791566.9 decades to years.\nAnswer: 7915669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1. Let j(u) = -5*u**2 + 15*u - 30. Let l(k) = j(k) - 20*v(k). Factor l(f).\nAnswer: -5*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -133*i + 1184. Give d(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 1\/60*o**6 + 0*o - 1\/30*o**5 + 53*o**2 - 5\/12*o**4 - o**3 + 0. Let p(b) = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -282?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 4:52 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348112 is divided by 491?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 2 + 18*g**4 - 15*g**4 + 4 to t + q*g**2 + s*g**4 + z*g + x*g**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x + 15\/8*x**2 + 3\/8*x**3 - 18.\nAnswer: 3*(x - 3)*(x + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkqkqqqqqqq. Give prob of picking 1 q and 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -97 + 14*y + 4*y**3 - 1\/4*y**4 + 27\/2*y**2. Solve d(q) = 0 for q.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**7\/105 + l**3\/6 - l**2 + 2*l. Let y(n) be the first derivative of c(n). What is the first derivative of y(i) wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272056 by 5.\nAnswer: -272056\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1986 and 89\/14?\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.648020608 to 3 decimal places.\nAnswer: -5.648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 688, 2727, 6116, 10849, 16920, 24323?\n\"Answer: -i**3 + 681*i**2 + 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*s - 24 = 0, -f - 3*s + 7*s = -18. Suppose 712 = 16*l - 280. Calculate the smallest common multiple of l and f.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.74 (c) -0.021 (d) 6\/7 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5407 + 49?\nAnswer: -5358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -312 - -3?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*j**3 + 2135 - 2135)*(2 - 31*j**2 - 6 + 4).\nAnswer: 2294*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -36752*l. Let t(i) = -32*i + 126. Give t(r(y)).\nAnswer: 1176064*y + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73899205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let m(l) = 2. Let f(d) = -2*d + 26. Let k(v) = f(v) - 6*m(v). Let u be k(p). What is the highest common factor of 80 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/15 - 76*q**4\/15 - 710*q**3\/3 + 14488*q**2\/3 - 61432*q\/15 - 137344\/15 = 0. Calculate q.\nAnswer: -37, -1, 2, 16, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**8\/3360 + f**7\/420 - f**6\/180 - f**4\/2 - 12*f. Let t(l) be the third derivative of p(l). Find b such that t(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 1. Let w be c(2). Let n be (-6)\/2*(-8 - w). Suppose -n = -2*f - f. Calculate the lowest common multiple of f and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Suppose o = 5*w - v - 7, 5*v + 4 = -5*w - 1. Solve 0 = -3*g - w - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -169*k + 7945. Let f be a(47). Suppose 2*s = 3*h - h - 6, -2*h + 16 = 3*s. Solve -3*v + 5 = f*v + x, 0 = x - h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 52*k + 4. Let r be (12\/(-8))\/(((-5)\/2)\/5). What is the tens digit of b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*j + 18 + 9 = 0, p + 2*j - 5 = 0. What is the common denominator of 13\/33 and (p\/(-3))\/((-52)\/(-286))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 21 - 6*a**2 - 2*a - a**3 - 17 + 2*a**2. Suppose 3*x - 18 = 12. Let k be (-12)\/30 - 36\/x. Give y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157056 by 128.\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16792973*l - 3273508.\nAnswer: -16792973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12233159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40.286 * 0.6\nAnswer: 24.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*f**3 - 1539*f**2\/4 + 6042*f - 10593 = 0. Calculate f.\nAnswer: 2, 22, 321\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27598, -38473, -49342, -60205, -71062, -81913, -92758?\n\"Answer: 3*y**2 - 10884*y - 16717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577.28637 milliseconds to hours.\nAnswer: 0.000160357325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d*r**4 - d*r**3 + 6*d - 4 wrt r.\nAnswer: -16*d*r**3 - 3*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = 4*t, 4*a - 9 = a - t. Suppose 0*r = -r - 2*v + 2, -3*v = r - a. Round r to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - 2)*(-1 - 14 + 3)*(11 + 23 + 34 - 25).\nAnswer: 516*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-351)\/36 + 10)*-40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -187*y - 101. Suppose -75 = -2*d - d. Sort -1, 1\/3, y, d in decreasing order.\nAnswer: d, 1\/3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -73*b - 1. Determine p(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10860*u. Let p(v) = -3*v**2. Determine p(c(b)).\nAnswer: -353818800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.53179 plus -0.053316307?\nAnswer: 47.478473693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 20)*(-4 + 1 + 5)*(3*v - 6*v + v) as k*v + r and give k.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7315487*s - 9501546?\nAnswer: -7315487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2001210?\nAnswer: 2001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x**2 + 1. Suppose -6 = 3*f + 2*n - 0*n, -3*f - 6 = -4*n. Let i be g(f). Let s = i - -17. Which is the nearest to 6? (a) s (b) 5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(138\/(-2898))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 4 + 2*z)*(2 - 3 + 0)*(14*z + z - 79*z) to t + q*z**2 + o*z and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83873.79 milliseconds in hours?\nAnswer: 0.023298275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrgg when four letters picked without replacement from {g: 2, k: 5, s: 1, r: 3, j: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 4284.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*6\/144)\/(1\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1*((-4)\/(-26) - 11\/(-13)). Let g = -3 - -5. Let n = -6 + 10. Sort n, g, h in ascending order.\nAnswer: h, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5238 or -4295?\nAnswer: -4295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4735, 4805, 4915, 5059, 5231, 5425, 5635, 5855?\nAnswer: 6079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/31? (a) -2 (b) -9 (c) -0.2 (d) -531 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 6) to base 15\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/6 + 28500*c**2 - c. Let z be o(0). What is z rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*u - 13 - 186*u + 2.\nAnswer: -2*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316680 divided by -546.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (393\/12)\/(22117\/1700 - 13) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 899393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -391?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2. Let f(j) = -3 + j**2 + 3 + 3*j**2. Calculate f(i(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -55*u + 202. Let z(n) = 33*n - 124. Let y(b) = -7*q(b) - 12*z(b). Determine y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/2)*n*(n\/((n\/n**23)\/n))\/n assuming n is positive.\nAnswer: n**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4934 + 4934 + 5*x**3 - 75*x**2 + 24*x**2.\nAnswer: 5*x**3 - 51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/113371 and -39\/2?\nAnswer: 226742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 6*a, 26*h = 28*h - 2*a - 36 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2353*z - 2353*z - 26*z**2. Let f(v) = -14*v. What is w(f(r))?\nAnswer: -5096*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.60603 litres?\nAnswer: 2606.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*p - 4 = 0, -17 = -2*w - 2*w + 5*p. Find the common denominator of (-2 - 75\/4)\/1 and -4 + w + (-77)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1668\/(-90)*3)\/((-4)\/10). Suppose -2*u = -h - 25. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + p**2)*(94 + 88*p - 132 - 41*p - 32*p).\nAnswer: 15*p**3 - 38*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.10525 + 0.20525. Which is greater: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142766759 divided by 3\nAnswer: -142766759\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2016 (base 10) to base 11.\nAnswer: -1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 + 2*j**2 - 2*j + 147. Let l(m) = -10*m**3 - 3*m**2 + 3*m - 146. Determine -2*l(a) - 3*r(a).\nAnswer: -a**3 - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = x - 0*t + 4*t, -x + 2*t - 9 = 0. Let h be 4337165\/(-196) + -4 - (-2 - x). Let f = 22126 + h. What is the common denominator of 107\/6 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50085208 and 921?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5.4. Let f = 19 - 12. Let t = f + -8. Sort 2, t, z in increasing order.\nAnswer: t, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:08 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.864 minus 1.19?\nAnswer: -3.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3531?\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-12)\/480)\/(12\/(-4))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 3884*n**2 - 940896*n - 944784.\nAnswer: -4*(n - 486)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/1059, 1\/6, 0.1931?\nAnswer: 2\/1059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - p + 2. Suppose 0 = 1131*g - 1136*g - 20. Give u(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 5*m**2 + m + 5. Let w(j) = -j - 7. Let k be 6\/(3\/1) - 4. Let h be w(k). Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.9 - -15.9. Is j > 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*r + 3*j, 90*r = 91*r - 4*j + 24. Solve -20 = 4*f + 2*i, 6*i + r = 5*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113\/619329 or -1?\nAnswer: 113\/619329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((8\/(-20))\/(66\/(-60))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/30936 and 55\/68.\nAnswer: 525912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w + 9*w - 7*w + 0*w + 0*w + 2*w - 2 + 2*w + 2 + 2*w - 2*w - 2*w - 2*w + 3*w - 2*w + (0 + 2 - 3)*(-2*w + 3*w - 3*w) + 2*w - w + 0*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156 - 2?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440800?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 19. Let s be n(7). Let z be (9\/27)\/(s\/(-30)). Let r be 28\/8*-2 - -7. Sort r, -8, z, 1 in ascending order.\nAnswer: -8, r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 6)*(3*i - 2*i + 0*i + (-3 + 3 + i)*(1 + 1 + 0)) + 27*i + 46 - 46 in the form p*i + l and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 2*x - x + 3*x - 4*x + (-2 - 2*x + 2)*(1 + 4 - 3) + x - x - 2*x)*(-4*x + 2*x + 3*x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27154131 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1950)\/780*1*(-8)\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**3 + 13*g**2 - 19. Let n(f) = -3*f**3 + 6*f**2 - 9. Calculate 4*i(b) - 9*n(b).\nAnswer: -b**3 - 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 0.048. Let i = n - 75.008. Let t = i - -75.0198. What is t rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2*n - 1. Let w be f(-3). Find the second derivative of -g**w + 17 - 17 + g wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -110. Let x = i - -285. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14896.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 8*j**2 + 8*j - 15. Let n be y(7). Let p be n\/4 - (1 + (-7)\/3). What is the nearest to 1 in p, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 - o - 67. What is u(0)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4217 + 0.5783. Which is the closest to 1\/3? (a) x (b) 6\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35622\/17 or -2096?\nAnswer: -2096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k - 74*k - 37460 = -5*m, -5*m + 4*k = -37424. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*q - 7570, -5*q + 18 - 33 = 0. List the prime factors of h.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 397. Determine f(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + -2 + -1 + sqrt(17).\nAnswer: -7 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f = -340 - 97 + 19 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797688 is divided by 74.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0\/(-2))*(-2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from tvnnntxvvtftttvtnvn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*h - 165*h + 6*h**4 + 332*h - 2*h**2 - 2 - 4*h**4 to the form n*h**3 + c*h + s + z*h**4 + f*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 405909\/(-833) + 4\/14. Let n(p) = 31*p**2 + 6. Let u(f) = 2479*f**2 + 481. What is h*n(a) + 6*u(a)?\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -9. Let s be 117\/(-18) - 2\/f. Let u = 26 - s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 + 22*t - 17. List the prime factors of r(-8).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 560, 621, 682, 743, 804?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1103 - -56?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/(2\/5). Suppose 0 = -4*q + 329 + 55. Suppose -g - 4 = 2*p, 0 = -4*l - 4*p + q. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20217000 or 20217001?\nAnswer: 20217001","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from eomdmnndddddmdsdend?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 720551143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 223 and 224 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11200012*k**2 + 12324476*k wrt k?\nAnswer: 22400024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -21 + 3. What is the greatest common factor of m and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29882*h**3 - 14981*h**3 - 14905*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/2670 and -7\/24.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1 + sqrt(147))*5)**2 + (-5*2*sqrt(147))**2).\nAnswer: -92000 + 1750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2898 and 3?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -4614, -11080, -20108, -31686, -45802?\nAnswer: -62444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18761 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -13. Let z(m) = 4*m - 3. Let f(s) be the first derivative of 3*s**2\/2 - 3*s - 26. What is a*f(l) - 4*z(l)?\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13931000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 1\/2, -10, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 7:27 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 24*r - 4. Let f(o) = 5 + 4 - 5 - 2. Let q(j) = d(j) + 12*f(j). Factor q(z).\nAnswer: 4*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -420.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 946550 or 946554?\nAnswer: 946550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 8 + -16 - 0) + -18\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705488 to the power of 1\/2, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*v**3 + 2*v**2 - 37*v + 37*v - 14*v**3 - 2 in the form z*v**2 + q*v + x*v**3 + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/17139 and -4\/39991.\nAnswer: 119973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 18*x**2 - 21*x + 36. What is i(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.449 + 0.079. Let c = n + -0.13. What is the closest to 1 in -5, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymzzmznypyzmmms. Give prob of sequence ymp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 0.93 (c) -1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 6:30 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*a**3*f*p**2 - 102570*a**3*p**3 + 626*a**2*f + 151*a*f*p**3 + 5*p**3 wrt a.\nAnswer: -126*f*p**2 - 615420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*h + 1\/6*h**2 + 0.\nAnswer: h*(h - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22855*z + 11327*z + 11529*z + 24.\nAnswer: z + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18285 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*s = -761*s - 489159. Which is smaller: s or -4456\/5?\nAnswer: -4456\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221.5603 - 0.0056.\nAnswer: -221.5659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/89, -5\/4, -3\/5, 3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230214, 230161, 230108, 230055, 230002?\nAnswer: 229949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1144959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.2680714\nAnswer: 0.5361428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l. Let h(o) = 9*o. Let i(y) = -5*d(y) + 8*h(y). Let q(x) = -x + 0*x + 3*x. What is q(i(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 2. Let f(u) = -u - 1. Let r(v) = 27*v + 6. Let y(k) = -9*f(k) + r(k). Calculate 30*g(w) + 4*y(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62425074917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001000 + 1?\nAnswer: 110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/5)\/4)\/((-28)\/(-247660)*-61).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {p: 1, i: 1, j: 1, b: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 466427 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12101333 - 5?\nAnswer: 12101324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.2 + 16.6. Which is the nearest to -1? (a) -1\/5 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57161, 57243, 57325, 57407?\n\"Answer: 82*a + 57079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*i - 409840 = -284*i. What are the prime factors of i?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 + 32*c**2 - 44*c + 1. Let d be y(15). Let u = d + 187915\/27. Find the common denominator of u and 51\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 152 = -8. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2992 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/60930 and 9\/33850?\nAnswer: 304650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 107, 167, 241, 335?\n\"Answer: r**3 - 2*r**2 + 51*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 1, g: 4, o: 2}. Give prob of picking 1 n, 1 g, and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -72c7?\nAnswer: 72c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5 + 1 + 10*k - 21 + 23*k. Let i be l(1). Let v = -27 - -45. What is the greatest common factor of i and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 145*o**3\/3 + 33*o**2\/2 - 147. What is the second derivative of p(z) wrt z?\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 + 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16485702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 56.5 * -23\nAnswer: -1299.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/283 + -4238\/1981. Sort -2, -1\/4, i in descending order.\nAnswer: -1\/4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (660\/(-253))\/((-6)\/(-69)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 88*u**2 + 1540*u - 88. Determine y(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3930445 divided by -193.\nAnswer: 20365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -672, -2273, -5388, -10521, -18176, -28857?\n\"Answer: -84*a**3 - a**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**2 + 462*q**2 + 0*q + 101*q**2 + 50*q**2 + q - 1 to i*q + f*q**2 + r and give f.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -13*x**2\/2 - x + 2. Let g be s(-1). Suppose 4*n = 4*v + g, 0*n = -5*v + n + 5. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 2959 + 5935 - 2926.\nAnswer: 10*v + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*d**2\/5 - 1546706*d\/5 + 193338\/5.\nAnswer: 2*(d - 96669)*(8*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 5*z**3)*(6 - 2 - 2) + 133*z**3 - 250*z**3 - 150*z**3.\nAnswer: -277*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**8\/840 + u**7\/280 + u**6\/120 - u**5\/60 - u**3\/3 + 5. Let r(m) be the third derivative of f(m). What is z in r(z) = 0?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 2*x - 6*x + (3 + 3 - 8)*(-3*x + 0*x + 5*x) + 134*x - 103*x + 419*x to the form h + m*x and give m.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/300*-105)\/(6\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4*1)\/24)\/((-13)\/(-52))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6166514 and 1788.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-147)\/(-4) - (-2)\/8. Let r be (-117)\/351 + 196\/3. Suppose 5*w = -k + o + 297, w - r = -2*k. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 22, 27, 30, 31, 30, 27?\n\"Answer: -v**2 + 10*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/35 - 69\/(-15). Let r be 4*1 - (3 + b). Is 290 + 19 - r\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167461 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773760644 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 44 - 16. Calculate the remainder when 22\/(-77) - (0 - (-46)\/q) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/(22\/(-330)). Put k, 2\/7, -3 in descending order.\nAnswer: 2\/7, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -1018, -2089, -3538, -5365, -7570, -10153?\nAnswer: -13114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 + (-17 - -46).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4097.91612 + -4098. Let k = o + 68.06388. Let p = k - 69. What is p rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45096 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.5 + 23. Which is the nearest to -3? (a) 0 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)\/f)**(1\/74)*f\/(f\/f**(-1\/11))*f*f\/((f*f**10\/f)\/f) assuming f is positive.\nAnswer: f**(-2930\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by (-164)\/14*(-7 + 0\/5) - 6.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(12)\/sqrt(3)) + -4*sqrt(64))\/(-5*sqrt(96)\/sqrt(3)).\nAnswer: 7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2. Suppose 0 = -2*v + 6*v - 24. Suppose v = 2*u - 0*u, 4*o + 2*u = 18. Let y(f) = 1451 + o*f - 1451. Determine y(w(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -23. Suppose -i = m*i + 21. Let h be (-6509998)\/i - (-5 - (-198)\/42). What is h rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 56 = p - 12, -4*i = 2*p + 86. Let z = p - -45. Let c be (13\/(-5) + 1)\/(28\/(-70)). Solve 3*k = 3*s, c*s = -z*s - 3*k + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-13) - -21*8\/(-48)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/164 and 73\/123?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 13004*h**2\/3 + 47762*h.\nAnswer: -2*h*(h - 11)*(h + 6513)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -263291 (base 10) to base 8\nAnswer: -1002173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 20*o**2 - o + 16. Is p(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*s - 0*u - 279, u + 92 = s. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:13 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a + 2*a**2 - 3*a**2 + a**2 - 13*a**5 wrt a.\nAnswer: -260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:18 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o. Let w be 38\/(-57)*((-18)\/(-4))\/(-3). Let q(h) = 85*h + 1 - w - 88*h. Determine b(q(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.281 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/435)\/(1\/25*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*p**4 - 166*p**3 - 274*p**3 - 2*p**4 + 531*p**3 + p**2 - 135*p**3 + 2*p to the form v*p**2 + d*p**3 + n + k*p**4 + i*p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875319176?\nAnswer: 2, 109414897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 2, z: 3, b: 3, f: 7, j: 2}. Give prob of picking 1 b and 1 z.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42113456*h**5 + 57613924*h.\nAnswer: -842269120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u**4 - 11*u**4 + 14*u**4)*(-71 - 14 + 36 - 1 + 6 - 2 + 4 - 1 - 2 + (3 - 5 + 0)*(-4 + 1 + 1)).\nAnswer: 492*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)\/b*b*b**(3\/10))\/(b\/(((b*b**7\/b*b)\/b)\/b)*b**(-2\/3)))\/((b\/(((b\/(b*b**(2\/5)))\/b)\/b))**(2\/29))**(-38) assuming b is positive.\nAnswer: b**(6853\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.05 - -0.95. Let x = 1.999848 - t. Round x to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 4*l + 0*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1970 - 298 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 + o**3 + 20*o**2 + o**3 - o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l + 148. What are the prime factors of s(0)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:53 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 + 2*i**2 + 2. Let n(q) = -5*q**3 - 2*q**2 - 2. Calculate -5*n(m) - 4*p(m).\nAnswer: m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56696 or 53?\nAnswer: -56696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 122, 256, 442, 680, 970, 1312?\nAnswer: 1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) - 1*sqrt(95))*1)\/(sqrt(5) + 1*sqrt(5)*-3).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - w)*(-14 - 13 - 4)*(-2 + 2 + 2*w) as b + d*w**2 + x*w and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2927946 minutes?\nAnswer: 17567676000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 141727, -5, -3 in descending order.\nAnswer: 141727, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/96*(99\/(-30))\/((-6)\/16).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 37?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.9 to 0 decimal places.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 3*k)*(4 + k**4 - 4) + (-3*k**2 - 2*k**2 + 6*k**2)*(-k**3 + 4*k**3 - k**3) + k**5 - 4*k**2 + 4*k**2.\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 313.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - x + 5*x = -42, 15 = v - 3*x. Let o = v - 11. Let r = -10 - -9. What is the second smallest value in r, 0, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107033.5 to the nearest 1000.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29168 = -4*b - 2*a, 13*a - 12*a - 29170 = -4*b. Suppose 3*t + 4*s = b - 2456, 5*t + s = 8090. What are the prime factors of t?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:12 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllraf. Give prob of sequence lf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = g - 3*x, x = -4*g - 99. Let v be ((-9)\/g)\/(27\/(-18)). Sort -0.14, v, 2\/7 in ascending order.\nAnswer: v, -0.14, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 104. Let n be a(-105). Is 19\/136 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/15*(19276\/4819)\/(14\/4)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 10*a + 1512. What is the least common multiple of a and 210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z**3 + z**3 - 4*z**3 + (-2*z**2 - 3*z**2 + 3*z**2)*(-2*z + 2*z - 2*z) + z**2 - z**3 + 1 - z**2 to m*z**2 + d + j*z + g*z**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3821 * 0.3\nAnswer: 1146.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/((-64)\/(-96))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*n = 16, 8 = -2*o - 4*n - 0*n. Let z(h) = 4*h - 2. Let t be z(o). Let u be (t - 4) + (-56)\/26. Which is the smallest value? (a) -1 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19))**(1\/10) assuming a is positive.\nAnswer: a**(-1\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 16 (b) 3\/17 (c) 43 (d) 2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose 0 = -l + c*l + 22200. What is l rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 3\/263 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7*f - 345*f + 6 + 15.\nAnswer: -352*f + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 19747 = -p, -26*l - 2 = -27*l. List the prime factors of p.\nAnswer: 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 814172.\nAnswer: 814172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3145\/26 - -121. Let k = -15\/52 + j. What is the third biggest value in -2, -0.2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {d: 1, l: 6, u: 4, v: 1, o: 1, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*w + 12, 167*i - 164*i - 9 = 2*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103.97 - 103. Let g = 0.03 + m. Let z = 1 - 1. Which is the nearest to z? (a) -2 (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6578783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 1.2. Let a = -91\/10 + 19\/2. What is the second smallest value in b, a, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96978 = 4*r + 5*o, o + 11 = 17. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 314*s - 561. What is the thousands digit of k(139)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0376 and -0.5.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 - 48?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*v = -16, -2*u - v - 6 = -4*u. Is 27027\/36 - (-1)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 7*y**2 + 9*y + 9. Is 16 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319216\/231 + 1382. Let d = 32\/33 - k. Let v = -5 + 6. What is the second biggest value in -3, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221786 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.9 - -13. Let s = 3 - 0. What is the second smallest value in n, s, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219.999857 + 220. What is c rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/36)\/(15\/(-20)). Let d be (8\/6)\/((-10)\/(-6)). Let z = -77\/15 + 13\/3. What is the nearest to h in d, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(468) - (2 + sqrt(208) + sqrt(13)))**2.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242 (base 6) in base 9?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3106 - 12415\/4. Let x(h) be the second derivative of 38*h + 1\/16*h**4 + 0 + 1\/8*h**3 - z*h**2. Let x(d) = 0. What is d?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/5 - 13213080\/(-2533650).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 3*q + 52, 5*s - 208 = 2*q. Let l = 0 + s. Find the common denominator of ((-2)\/l)\/((-2)\/(-228)) and 63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 3*z - 3. Let n be 2\/5 - (-32)\/20. Let b(u) = -n - 5 - 7*u + u**2 + u**2 - 6*u**2. Determine 2*b(r) - 5*o(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.9879 and -5891447413.\nAnswer: -5891447411.0121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(312\/(-96))\/(1\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 17, -3, 1 in decreasing order.\nAnswer: 79, 17, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 48*q**2 + 63*q - 1586. Is p(81) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 524 - ((-4)\/(-2) + -5). Let a = h + -320. Suppose 2*r = b - 3*r - 59, 3*r + a = 5*b. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260588692997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.7 and 15.\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184524816 and 24465.\nAnswer: 922624080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 346 + -262 - 324\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2976188517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*(2\/(-17) + 1568\/(-2856))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -2*f**3\/3 + f. Let h(v) = v**2 + v - 1. Let j(t) = 2*t**2 + t - 1. Let l(d) = 6*h(d) - 6*j(d). What is l(y(c))?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/2 - 37*j**4\/2 + 669*j**3 + 4769*j**2 - 101561*j\/2 - 109725\/2 = 0.\nAnswer: -57, -11, -1, 7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjhj when four letters picked without replacement from bjjxhjhhjb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13721, 13719, 13717, 13715, 13713?\nAnswer: 13711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - 0.22. What is the closest to 1\/2 in 0, -3, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u + u**2 + 9*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69045\/968 or -70?\nAnswer: -69045\/968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 80*u**2 + 287*u\/2 - 33 = 0. Calculate u.\nAnswer: -2, 33\/160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 24169.928 to the nearest 100.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -1089.936?\nAnswer: -1089.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 19*f + 10. Let y be o(-6). Suppose w = -5*c + 1882 - y, 4*c + 2*w = 1494. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:18 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2526576 times -0.11\nAnswer: 277923.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.6 - -2.6. Let r = o - -17.9986. Round r to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + 1 - (sqrt(7) + sqrt(1008)\/sqrt(9))) + 5 + -4*(-3 + sqrt(700)).\nAnswer: -44*sqrt(7) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220531 (base 6) in base 8?\nAnswer: 620247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/90)\/((-1)\/((-10)\/(-1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2 - 2)*(-32*p**2 + 59 - 59) + 5*p**2 + 4*p**5 - 5*p**2.\nAnswer: 68*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 57 + -44 - 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149933?\nAnswer: 7, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2707056 by -66.\nAnswer: 41016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.5806kg to tonnes.\nAnswer: 0.0265806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/120 - 2*v**5\/15 + v**4\/24 + 5*v**3\/3 + 2*v**2. Let w be j(7). Let p be ((-6)\/(-8))\/(60\/w). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213117, 426207, 639273, 852315?\nAnswer: 1065333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5))**(-43) assuming i is positive.\nAnswer: i**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1266*y - 1264*y = -2532*y + 40. Suppose 0 = -3*d - 4*w + 16, w = 4*d + 5*w - 28. Calculate the remainder when y is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 + 81*q**2 + 62*q + 72. Let j be a(21). What is the highest common divisor of j and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 4*n + n + 4. Let k(b) = 2*b**2 - 50*b - 525. Let p be k(-8). Let w be f(p). Solve 0 = -w*z + 2*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/2)\/((-3)\/84). Find the common denominator of 5\/15 + v\/(-36) and 45\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -199, -301, -405, -511, -619?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**6*z**3 - 10*n**6*z - 4*n**2*z**3 - 136*n**2*z wrt n?\nAnswer: -480*n**3*z**3 - 1200*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34610000 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23305830.\nAnswer: 2, 3, 5, 776861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 770789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1824*u + 351*u + 1104*u - 1 + 1 as x*u + k and give x.\nAnswer: 3279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54620313?\nAnswer: 3, 11, 491, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.166115 months in years?\nAnswer: 0.59717625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9547 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/36, -2, -5, 1\/62?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 178. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 5.4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-17)\/2 - 3\/(-2). Let l(a) be the third derivative of -13*a**4\/24 - 8*a**3\/3 + a**2. Is l(v) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-5*z + 3 - 3) - 2*z + 3*z + 2*z + (-z - z + 4*z)*(-79 + 98 + 244).\nAnswer: 519*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let x(s) = -s - 1. Let a(r) = 2*l(r) - x(r). Let w be 0\/(-1 - 1*-2). Let o = -3 + w. Calculate a(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(-j**4 + 4*j**4 - 4*j**4) + 6070*j**3 - 118*j**4 - 6070*j**3 to the form t*j**3 + n + v*j**2 + q*j + f*j**4 and give f.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*m)*(31*m - 16*m + 55*m)*(5 - 5 + 2*m) + (-5*m - m**3 + 5*m)*(4 - 1 - 5) - 3*m**2 + 2*m**3 + 3*m**2.\nAnswer: 844*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97919019826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -2464474\nAnswer: -66540798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2 - 6*d - 1. Let j be q(-5). Suppose 0 = a - 5*a - i + 17, 2*a + 5*i - 13 = 0. Suppose -1999 = -a*r + j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 155 + 159 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-18) + 690\/270. Does -0.07 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + 2. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/8 and 163\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-15) + (-2)\/(-5). Suppose -v = k*y - 11, 4*y - 5*v - 21 = -0. Let x be y - 2\/(-2)*-2. Solve -5*r - 17 = -4*z + z, 4*z = x*r + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5369694 (base 10) to base 5.\nAnswer: 2333312234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 10 + 0*s - 1\/420*s**5 + 0*s**2 + 1\/42*s**4 + 8\/3*s**3 - 1\/1260*s**6. Let y(v) be the third derivative of o(v). Factor y(r).\nAnswer: -2*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 7 - 5. What is the units digit of 150 - 2 - i - (7 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 572.846 - 1416813240.\nAnswer: -1416812667.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**2 - 9726*q - 145197.\nAnswer: 3*(q - 663)*(5*q + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(650\/15431))\/((-2)\/10)?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1371*n - 524*n + 437*n + 4805*n)*(1 + 4 - 7).\nAnswer: -12178*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*m, 13*k = -3*m + 12*k - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 2, k: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -3*i - 60 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 + 34 - 5*q**2 + (6 - 15*q + q + 11*q)*(-q + 0*q + 3*q).\nAnswer: -11*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*l - 3*m + 15, 4*m = 3*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63415178653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 2, -5 in decreasing order.\nAnswer: 2, -6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j. Solve -2*q + 4*v = -8, j*q - q - v - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052*-4.\nAnswer: -0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*m**2 + 0)*(30 + 40 + 120*m - 70) to the form c*m**2 + k*m + y + a*m**3 and give a.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, a: 3, n: 2, f: 5, j: 1}. Give prob of sequence an.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 414551 + 414591 = -5*t, -t - 10 = -3*i for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1019, -8, 1 in ascending order.\nAnswer: -1019, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*l*s*w - 4*k*s**2*w - 2902*k*w**2 + 153169*l*s**2*w**2 - 2*l*w**2 - 2*s**2 - w**2 wrt k.\nAnswer: 3*l*s*w - 4*s**2*w - 2902*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-18)\/(-60))\/((-2)\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(95) - (sqrt(95) + sqrt(95)*2) - sqrt(95)))\/sqrt(5))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 34 = 10. Let s be (-114)\/(-4)*8\/v. Suppose -f + s = -5*u - 17, -5*f = 2*u - 140. What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 - 1155222*n**2 + 166812035040*n + 1501401889800 = 0.\nAnswer: -9, 288810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 + 6 = 0. Let l be (-1 + 0)\/(-1) - -2. Let m(c) = c**2 - 3 + 11 - 5 - 2*c**2. Let q(a) = a**2 - 2. Give k*m(v) + l*q(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -12*h + 24. What is the hundreds digit of (-8)\/(-10)*325\/10*h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*t**2 - 39*t**2 + 42*t**2 + (5*t + 0*t - 4*t)*(-2*t - 3 + 3) - 4*t**2 - t**2 + 2*t**2 as a*t**2 + f + n*t and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 28*b**2 + 11*b - 776. Calculate the lowest common multiple of y(-26) and 1160.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 4)*(-1749)\/(-1908). Let z = 2.8 - 3. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 18. Suppose -2*a - p*a + 22 = 2*m, -5*m + 35 = 5*a. Suppose 3 = h - 0. Solve 0 = -h*v + a + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-22 - 24) - 59.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(30\/(-5) + 7). Solve 4*p = 2*p + 4, 0 = -3*v + 4*p + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 43.38. What is n rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 252722548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -3, 10, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 56*l + 95*l + 16 - 103 - 47*l + 50*l**2. What is the derivative of y(k) wrt k?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.3169 hours in days?\nAnswer: 13.8465375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -5986 and 4.\nAnswer: -5982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/8)\/g)**(12\/13)\/((g\/(g\/g**(-24)))\/(((g*g**19)\/g*g*g)\/g*g)))**(-20) assuming g is positive.\nAnswer: g**(-11430\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4451663 or 4451703?\nAnswer: 4451663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-222*j - 516*j - 543*j).\nAnswer: -2562*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 17*n - 391. What is the smallest common multiple of o(25) and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51842434 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30755 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - -17. Let o = -11 + b. Put o, 3, 0.4 in descending order.\nAnswer: 3, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 1. Let u = 1423 - 1422. Let y(c) = -1. Let k(g) = 5*g**2 - 2*g - 6. Let v(h) = -k(h) + 2*y(h). Determine u*v(i) + 2*q(i).\nAnswer: -3*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose -80 = 3*j - 8*j. Let a be j\/12*3*1. Solve 0 = -3*w + 5*d - 8 - 23, a*w - 2 = -p*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 38*g**2 + g + 2. Let t(v) = -40*v**2 - 2*v - 3. Let k(q) = -3*h(q) - 2*t(q). Let b(y) = -y. Calculate b(k(l)).\nAnswer: 34*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1673, 1771, 1869, 1967, 2065?\nAnswer: 2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/1914*27)\/(1\/((-22)\/12)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21411169 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(11 - (-115)\/(-10)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h - 7\/6*h**6 + 0*h**4 + 3 - 5\/2*h**2 + 0*h**5 + 0*h**3. What is the second derivative of a(b) wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. Let s(x) = 107*x + 8. Let l be s(-1). Let d = l + 2873\/29. Which is the nearest to i? (a) d (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000043 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 6*s + 2. Let o be y(6). Suppose z = -5*u + 24, -o - 3 = -2*u - 5*z. Suppose -8 = -5*c + c. Solve c*m = u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(1*12\/8). Let v be (n\/1)\/((-28)\/98). What is the derivative of 6 + r**4 - v*r**4 - 2 wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5292 - 63619\/12. Let u be 6\/(-4) + (-4011)\/(-4). Let p = u + -1015. Find the common denominator of p and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212629 + -212628.681857. Let v = 333.682 - 334. Let h = m + v. What is h rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*a**2 + 6*a**2 + 3*a**2 - 56 - 6*a + 4*a**2 + 11*a**2.\nAnswer: 2*(a - 7)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 2\/(-3) + 200\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-12) + 1\/(-1)*-3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - (2 + (-5 - -7))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100101110110 - 1?\nAnswer: -11100100101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-1 - -23)) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in -0.02, -0.3, 11091?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h - 17. Does 15 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:25 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (10 - 10) - -3 - (1248 - 1219)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*u - 27, -4*v = 5*u - 36 + 7. Solve 0*q - v = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596578 (base 11) to base 16\nAnswer: e6e24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -24*m + 6. Let l be h(8). Is 2\/(-1) - (-1 + l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101301 - 12?\nAnswer: -2101313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1704 and -3?\nAnswer: 6.5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:48 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22537152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -938, -63, -73.3 in decreasing order.\nAnswer: -63, -73.3, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 259, 525, 797, 1075, 1359?\n\"Answer: 3*s**2 + 251*s - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 634774 and 28252?\nAnswer: 1280973932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and 298005\/3877 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -22. Suppose 3*v - 11 = -5*r - 0, -t*r + 20 = -4*v. Which is smaller: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -177656, -180496, -185230, -191858, -200380, -210796?\n\"Answer: -947*s**2 + s - 176710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2 - 0. List the prime factors of ((-1)\/h)\/(1\/38).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0\/(x*(x\/(x*x\/x**(-6)*x*x))\/x*x)*(x**0)**(-25) assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 15*q**2 - 15*q + 13. Let s be (-112)\/(-12)*(-3)\/(-2). Determine n(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-1))\/(-4))\/((-6)\/(-10)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3153 + 431 = -512*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5392*g**2 + 14974*g**3 + 5392*g**2.\nAnswer: 14974*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14878333 divided by -8?\nAnswer: -14878333\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 71 = -4*x + 213, 3*x - 5*w = 121 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 13*q = -30. Suppose d - 83 = -4*t, 4*t + 309 = q*d + 14. Calculate the greatest common factor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*t + 540, -11*s + 12*s + 2*t + 99 = 0. Let y = s + 108. Solve 3*q - 3 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*r - 54*r**2 - 551 + 222*r + 469 + 82.\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 48656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -100000100?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2, -u + 4*z + 0*z + 9 = 0. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156)*-5*-1 + sqrt(156) - sqrt(156)) - sqrt(156)) + (sqrt(156) - sqrt(156)*5)*-4)\/(sqrt(1944)\/sqrt(2) + -2*sqrt(48)\/sqrt(4)).\nAnswer: 11*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652534789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0 - 11) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(23\/5)\/(z**1)**(-27) assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**6 - 27*y**5 + 5*y**4 + 12*y**2 + 234?\nAnswer: 600*y**3 - 1620*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -585, -871?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303234130 - 0?\nAnswer: -303234130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -88059 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -8*f + 0*f**2 + 0*f**3 - 1\/3*f**4 - 2. Let l(b) = -15*b. Give i(l(n)).\nAnswer: -900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j - 35. Let d = -18 + j. Find the common denominator of ((-12)\/(-63))\/((-6)\/d) and -97\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59427597769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 69 - 291 + 110 - 7*s. Let k be u(-9). Put k, 87, -5 in descending order.\nAnswer: 87, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + q + 17 = 15, -3*y = q - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 16. What is the smallest common multiple of j and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-133)\/(-7) - (-1 - 0). Suppose 0*w - l = -5*x - 4*w, 2*w - 10 = 0. Solve -5 + x = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6619 + 6624. Let o(p) = 5*p - 5. Let w(j) = -j + 1. Let a(q) = -o(q) - 6*w(q). Calculate a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1886789 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.01 (b) -1 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-52))\/((-14)\/(-1092))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 6. Let g be 1 - -2 - (q + 4). Suppose 3*d + 4*d**3 + 3*d**2 + d**4 - d + 2*d**g = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 20.827998us?\nAnswer: 0.000000005785555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*h**3 + 18804*h**2 - 1963137*h - 262086.\nAnswer: -3*(h - 209)**2*(15*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*g - 20 = 0, 5*p + 2*g + 15 = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - m = -0*i + 4, 5*i + 4*m = -16. Let f = -9 + 10. Is 1*(13 + i\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -6. Solve m = 4*k - 3*w, 3*k + 5*w + 9 = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/3)*2. Let w be (12\/14)\/((-2)\/(-28)). Suppose -6*v + w = -2*v - g, -5*v + 4*g + 15 = 0. Solve -5*b = -m*b + 4*x - 12, v*x - 4 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -45*z**2 - 1. Let o(j) = 3*j**2. Determine o(s(g)).\nAnswer: 6075*g**4 + 270*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -22. Let v(g) be the second derivative of g**3\/6 + 5*g**2 - g. What is v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -3*h, -2*h + 5*a - 13 = 7. Suppose 2*i - 2*y - 374 = h, 3*i - 4*y - 109 = 451. Suppose -i = -4*w - 0*w. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 631, 1995, 4621, 8929?\nAnswer: 15339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 0. Suppose -3*j - j = -d. Solve -b = 2*b + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0381 and -0.12.\nAnswer: -0.1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:47 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - 3 - (-21 + 26).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25051949183.00299936 - 25051960595. Let s = x + 11401.997. Let a = 10 + s. Round a to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 16) in base 9?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + j**4 - 1146*j + 1146*j)*(-1 + j + 1).\nAnswer: j**5 - 38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*z**2 - 1588*z + 3936.\nAnswer: 4*(z - 3)*(23*z - 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 1\/20*l**5 + 0*l**2 + 1\/4*l**4 + 3*l + 1\/3*l**3 + 0. What is j(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604397 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*l**3 + d**2*l + 22*d**2 - 7*d*l**2 + d*l + 117*l**3 wrt d.\nAnswer: 6*l**3 + 2*l + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = 4*m - 520, -4*r = 3*m - 705. Suppose 0 = 23*n - 5*n - r. Calculate the greatest common factor of 45 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 7*y - 14*y**3 - 11*y**4 - 14*y**2 - 5 + 13*y**4. Let x(p) = 3*p**4 - 27*p**3 - 27*p**2 - 15*p - 9. Let j(g) = 9*d(g) - 5*x(g). Factor j(r).\nAnswer: 3*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*o + 9 = 45, 4*o - 12 = 0. Calculate the least common multiple of (282\/f - 6) + 6\/(-4) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13287 and 1935.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 12\/107?\nAnswer: 12\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1790, -3587, -5386, -7187?\n\"Answer: -i**2 - 1794*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 423*0.13\nAnswer: 54.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-100)\/175)\/(66\/(-605))*18\/10?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 5*a**2 + a**2)*(-2 + 0 - 3 - 5).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j + 3. Let k be o(2). Let r = k - -8. What is the biggest value in 5, r, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 356*f - 3 + 11 - 144*f + 19. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) 2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*x**3 - 40*x - 322*x**3 + 156*x**3 + 204*x**2 = 0. Calculate x.\nAnswer: 0, 1\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/2 (b) -4 (c) -0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b + 5*f, 2*b + 2*f - 9 = -f. Let s be (-2 - (-88)\/b)*3. Suppose -3*t = 2*t, -s = -z - 5*t. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**(1\/5))\/y)**(-48))**(1\/42)*(y**(2\/19)*y\/((y\/y**(2\/5))\/y*y))\/(y**2\/(y**(-6\/5)\/y)) assuming y is positive.\nAnswer: y**(-3369\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3763, -15047, -33853, -60181, -94031, -135403, -184297?\n\"Answer: -3761*o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) -0.2 (c) -1\/12 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 923 and 852.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 10\/7, -3, 4, 3, -590?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 47 = -2*b - b + 14, 24 = -b - d + 15 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.3 + -10.3. Let y = -5 - -5.08. Sort v, y, -1.\nAnswer: -1, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19788 rounded to the nearest one hundred?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3114411 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6865606 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.18 (b) -3 (c) 647.3 (d) 1\/2 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 401\/490 + -41\/98. Factor -4\/5*l + 0 + o*l**2.\nAnswer: 2*l*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1096 - 1100. What is the second smallest value in -5, 15, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o**2\/2 - 3*o + 97. Let z(l) = 3*l + 2. Give -5*q(f) - 6*z(f).\nAnswer: -3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 68*x + 1. Let z(i) = 65*i. What is 2*j(h) - 3*z(h)?\nAnswer: -59*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1066.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122131 (base 5) to base 12.\nAnswer: 284a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 divided by -5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.618311.\nAnswer: 1.618311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 = 38. Let t be 45\/20 + (-1)\/4. Suppose 38 = t*j - 38. What is the remainder when j is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195\/134203 - 112534869\/411734804. Let d = q + 6\/59. Find the common denominator of -31\/52 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-9)\/(-6). Let c be s\/(-11) + (-192)\/(-33). Let j = c + 6. What is the remainder when 34 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 6 + -7 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 - 166*p**2 - 32*p - 261. Let w be y(55). Is -5046 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let f(c) = -c + 1. Suppose -2*o + 0*o + 32 = 0. Let d = o - 10. Let r be f(d). What is g(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 26964*z - 5208108. Determine o(-196).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 138920 times 0.3\nAnswer: 41676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10084630*l**2 + 27740247*l**2 + 24261513*l**2.\nAnswer: 62086390*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k - 5*k)*(3*k**2 + 795*k + 13*k**2 - 793*k).\nAnswer: -16*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -347, -516, -683?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*c + 37 = 0, -18 = -13*r + 15*r - 2*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -27) + (-27 - -17) + 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*10624185\nAnswer: 6374511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0104, -4, -0.5?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 = 5*f - 6*m, 6 = -3*m. Suppose s - 3*p = 224, -3*p - 252 = f*s - 745. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 21002221011?\nAnswer: -21002221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(468) + sqrt(468) - sqrt(468)) + 1)**2.\nAnswer: 48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + -7 + -4. Let a be -1 + (-2)\/(r\/12). Factor 3*b**3 - 2*b**3 + b**3 - a*b**2 - 2*b + 2.\nAnswer: 2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.28 and 8425?\nAnswer: 69759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46560 by 240.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, v: 1, k: 2, f: 1, m: 2}. Give prob of sequence vm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 3 - (266 - 230).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63797, 127599, 191401, 255203?\n\"Answer: 63802*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 2:40 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502175651.\nAnswer: 17, 29, 5075407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * 0.5.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -499177000 to the nearest one million.\nAnswer: -499000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1126\/46 - (4 + -6). Let x = -4503\/230 + y. What is the common denominator of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let v(o) = -79903*o. What is v(k(x))?\nAnswer: 79903*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -2\/51 (b) -3 (c) 8 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -67. Suppose -1 = -2*d - x, 13 = -i + 5*d. What are the prime factors of (105\/i)\/((-3)\/92)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133955.13 and 2?\nAnswer: 267910.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 15, -3*x - 2*d - 4 = -2*x. Let s = x - -4. Let g = s + 20. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 23.4. Let v = -3.99 + -0.01. Put v, 0.4, y in decreasing order.\nAnswer: 0.4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -28647, 45 in decreasing order.\nAnswer: 45, -28, -28647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 15.7. Let s = c + 14.9. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 442, 863, 1268, 1657, 2030?\n\"Answer: -8*p**2 + 445*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 541*a - 952*a + 552*a as d + s*a and give s.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 7) in base 9?\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((a + 1 - 1)*(0 + 2 - 4) - 1 - a + 1 + a + 0 + 0 - 4*a + a - a)*(0 + 5 - 3) to d*a + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 19 = -3*m - 2*m, -2*m + 14 = -2*c. Let k be (-14)\/c + (-1)\/(-4). Suppose -k*l = 5*d - 32, -d - 26 = -6*d + 4*l. Solve 21 = 3*o + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sissssssssi.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Suppose -2*u - i*x = -u - 12, 0 = 3*u - 4*x + 2. Let g = u - -14. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3983132*z. Let w(c) = 5*c + 3. Determine w(m(n)).\nAnswer: -19915660*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/5 + 6760902*d\/5 - 11427448963401\/5 = 0.\nAnswer: 3380451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-8)\/24*-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/30 - 11*w**4\/24 + 3*w**3\/2 + 5*w**2. Calculate the remainder when y(8) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*u**2 + 23*u**2 - 27*u - 53*u**2 + 62*u**2 - 43*u to the form t*u + m*u**2 + w and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -u - 4. What is the greatest common factor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:12 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6425, -12432, -18423, -24392, -30333, -36240?\n\"Answer: d**3 + 2*d**2 - 6020*d - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 124 - -12017?\nAnswer: 12140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -934 - -933.98. Which is the nearest to u? (a) 5\/4 (b) -2\/9 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.093 less than -427859?\nAnswer: -427859.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 344\/29 (b) -0.07 (c) 0 (d) 1\/2 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 13*v**2 + 15*v - 23. Let j be o(12). Which is the closest to j? (a) 1 (b) -4 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 + 10*c**2 - 15*c. Let z(y) = y**3 + y**2 - y. Determine -p(q) + 10*z(q).\nAnswer: 5*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 61*l**2 + 589*l + 2544. Determine p(-69).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*j + 8 = 2, 3*o + 18 = j. Let i(g) = -g**2 - 8*g - 12. Let h be i(o). What is the second biggest value in h, -0.1, 1\/9, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 6168*j - 1390515.\nAnswer: 3*(j - 205)*(j + 2261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 38695*b - 10370256. Give k(268).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyuyuu?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0700225? (a) 12 (b) 15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 8*c - 2880 = 0. Let q be 6\/4 - (c\/(-64) + 7). Put 5, -1\/42, 0.2, q in decreasing order.\nAnswer: 5, 0.2, q, -1\/42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((120\/15)\/(-24))*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*c - 2*t + 104, 4*c = 5*t + 108. What is the remainder when 125 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 200946\/132894 - 2\/(-46). Find d such that -q*d**2 - 2\/9*d**3 - 28\/9*d - 16\/9 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57536194 divided by -9\nAnswer: -57536194\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245695 is divided by 2768.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - (sqrt(3800)*1 - sqrt(3800)))\/sqrt(2))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 0*w**3 + 6 - w**3 - 7*w**4 + w**3 to j + p*w**2 + c*w + t*w**3 + x*w**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 8853*h\/4 + 1929840.\nAnswer: -3*(h - 3655)*(h + 704)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(114)*1*-3)\/(sqrt(96)*-2) - ((3*sqrt(38) + sqrt(38) - sqrt(38))*-4)\/(sqrt(72)*-3))**2.\nAnswer: 931\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = 0, -5*i + 7*h - 6*h = -832. Calculate the remainder when 508 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2100384 and 11583?\nAnswer: 6301152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486332, 1946180, 4379262, 7785578, 12165128, 17517912?\nAnswer: 23843930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3120)\/182*(-21)\/2. Suppose 0 = m + 159 - l. What is the highest common divisor of m and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10827 (base 14) in base 8?\nAnswer: -116123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1761140 and -44317839.\nAnswer: -46078979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6252 (base 12) to base 3.\nAnswer: 112200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3597219 + 3597220.3799813. Let u = 90 - 88.62. Let m = u - r. Round m to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 56 - 16 + 9*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u + 21. Let o be w(1). Suppose -4*l + 2*t - 7*t = -37, 2*t = -l + 7. Solve -c + 5 = -4*f + f, -5*c + l = -o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773269679.\nAnswer: 7, 13, 8497469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 13*h - 12. Let d be 3\/1 - (-9)\/h. Let w(m) be the first derivative of -m**3\/3 + 3*m**2 - 3*m + 1. Calculate w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204105 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l - 31. Determine q(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16030 divided by 3206?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2941, -5907, -8873, -11839?\n\"Answer: -2966*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19572252 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = p - 0*p. Suppose -3*z - 5*j = -0*z - p, -3*j = 3*z - 18. Calculate the least common multiple of z and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442565533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 610502 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3\/w)**(-1\/2)\/(w\/(((w\/w**5*w)\/w*w)\/w)*w\/(w\/w**(-2\/27))))**46 assuming w is positive.\nAnswer: w**(-7360\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-15))\/(2\/15). Let j = -11 + z. Is j < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8722, 1, 2 in decreasing order.\nAnswer: 2, 1, -8722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 3*b + 2. Let m be k(2). Suppose -5*u = -l - 649, -3*u - 649 = -m*l + l. Let c = l + 986. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 + 194. Solve i + j - 5 = 0, 4*i - m*j = -0 + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*s = 221*s - 676. Let d = s - -245. What are the prime factors of d?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 - 1 = -2*r, 2*r - 3 = u. Suppose -3*f = -4*f + r, 0 = -4*h - 4*f + 8044. Round h to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -0. Suppose 0 = 2*g - 7*g - a - 34, a - 20 = 4*g. Let z = g + 9. Solve -v + 0*v - 18 = 5*p, z*p = -l*v - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2840 - 1?\nAnswer: 283a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u**2 - 13*u + 10. What are the prime factors of k(-5)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120011002 (base 3) in base 15?\nAnswer: -3415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1419 - 9936\/7. Let s = 77 - 72. Sort 2\/55, s, g, 1\/3.\nAnswer: g, 2\/55, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213967789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 17 - 10*a + 23*a**3 + 11 - 44*a**2 - 33*a**3.\nAnswer: -2*(a + 1)*(a + 7)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 + (77 + -1 - 136)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1849 + -7.195?\nAnswer: -7.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 182, 236, 294, 356, 422, 492, 566?\n\"Answer: 2*g**2 + 48*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 5 - 5 = 52*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 9*j**2 - 8*j - 7. Let a be w(-8). Let x = a + 9. Suppose 7 = 3*o + 1. Solve 2*f + f - 4*y = -35, -o*f - x*y = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*z = -115*z - 12. Suppose 51 = 4*p - h, 3*p - 24 = 3*h + 12. Suppose p*m - 15*m + z = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/24 + 11*a**3\/6 + 8*a**2. Let w be o(7). Let p be (w - 6) + 1 - -1. Solve p*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124088 * 0.2.\nAnswer: 24817.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -7. What is the units digit of (-75)\/(-5) - -1*z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 3, t: 5, z: 2, u: 2}. What is prob of sequence bz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4730)\/(-350))\/11 + (-4)\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4506.367cm to millimeters.\nAnswer: 45063.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 163*v**2 - 5*v + 5. Let j(g) = g - 1. Let r(c) = -h(c) - 5*j(c). Let n(l) = 1538*l - 1538*l - l**2. Determine n(r(x)).\nAnswer: -26569*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 greater than -503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/8 - 1689303*j\/4 - 951248208603\/8 = 0 for j.\nAnswer: -563101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 2 + -5 + (-30 - -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11395 is divided by 393.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5362.207 seconds to nanoseconds.\nAnswer: 5362207000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58100 and 1939378?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 29*l = -6819. Let f = l - -7684. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - -56. Let a = d - 87.3. Let l = 6.8 - a. Sort -4, 2, l.\nAnswer: -4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106, 430, 976, 1750, 2758, 4006, 5500?\n\"Answer: h**3 + 105*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)**(-46)\/((f*f**(-9\/7))\/f**2))**7 assuming f is positive.\nAnswer: f**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026724 plus -1272?\nAnswer: -1271.9973276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 151, 0.1864.\nAnswer: -2, 0.1864, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2738*h + 54762. Calculate o(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2827.\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-7 + 13)) + 0 + 2 + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -61.7. What is the biggest value in j, -1\/2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 172 - 166 + 4*s**3 - 25.\nAnswer: -2*s**3 - 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 1. Let n be l(-7). Calculate the greatest common divisor of n and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 - 20872*y\/5 - 163365144\/5.\nAnswer: -2*(y + 15654)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02552 + -231.67448. Let u = -243.9777 + -0.0223. Let b = u - n. What is b rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 13. Which is the second smallest value? (a) y (b) -29 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -187, -189, -187, -181, -171, -157?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18758888.\nAnswer: 2, 17, 137933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfyfjjyfjfyy. What is prob of sequence fjff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 3*k - 3*k + 4*k + 4 - k**2. Let r be m(3). Let c be r + 4\/(12\/129) + 1. What is the highest common factor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301077689 to the nearest integer?\nAnswer: 36070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2 and -41\/18742.\nAnswer: 18742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4\/6*(893 - 59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/30)\/((-2)\/(-295)). Suppose -m + c = 4*m + a, 5*m - 126 = 3*a. Is m < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(117) - (sqrt(117)*-2 + sqrt(117))*1)*3 + -1 + 1*(sqrt(117) + sqrt(117) + 1)*-1.\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnrq. Give prob of sequence nrq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1612755 and 133\/1860.\nAnswer: 199981620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8556)\/(-496) + (6\/(-8))\/3. Solve -5*p + h = t, 4*p + 4*h - 5 + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 - (-32)\/12) + 2\/(-3))\/(-1). Let d(c) be the second derivative of 5\/12*c**4 + v + 15\/2*c**2 + 13*c + 10\/3*c**3. Suppose d(a) = 0. Calculate a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 1. Let w be h(6). Let m(f) = 121 + 116 - f + 124 - 484 + 131. Calculate m(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**2 + 119*y + 54. Let k be o(9). Let w(i) = -45*i. Let g(p) = 180*p - 1. Determine k*w(l) - 2*g(l).\nAnswer: 45*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**3\/3 + 3*f**2 + 8*f. Let o be x(3). Suppose 0 = -o*m + 3*m + 2*g - 641, 0 = -5*m - 4*g + 1071. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-14) + (-144)\/168 + 48\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592414271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19602859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**2\/2 + 6*m + 1. Give t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - (sqrt(75) + -5 + -2*sqrt(75))) + 5)*6*3*-5)**2.\nAnswer: 1620000*sqrt(3) + 3240000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.095 and -120089330.4?\nAnswer: 120089330.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 16 = -15*b. Let s be (63\/(-27))\/(b\/6). Let d = 52 - s. What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/212855 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 604090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135974\/1323 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from ofxoxotvvqot.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 901*q - 48543. Give c(-230).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 746197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d + 104*d + 238 + 109 = 2145 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 3 + (-4 - (-6 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 158*x**3 - 2*x**2 + x + 1. Let f be r(-2). Let a = f + 2185. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, n: 3}. Give prob of picking 1 n and 2 w.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3359 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 104*n - 2735. Let k be c(27). Solve -12*i = -85 + k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -31146717*i**2. Let n(p) = p. Give f(n(x)).\nAnswer: -31146717*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 17. Let i(a) = -a**2 + 17*a + 2. Let b be i(l). Let v = b - 506\/7. Sort -0.4, v, -0.2 in decreasing order.\nAnswer: -0.2, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c - 4\/5*c**5 + 0 + 4*c**2 - 22\/3*c**3 + 13\/3*c**4. Suppose n(g) = 0. What is g?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9843 - 4248 - 7066 - 1374)*(-11*b**2 - 5*b**4 + 11*b**2) as c + q*b**4 + d*b + v*b**3 + p*b**2 and give q.\nAnswer: 112655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2*a**3\/3 - 102332. Let t(j) = -9*j. Let u(i) = -14*i. Let s(v) = -7*t(v) + 5*u(v). Determine s(h(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2280642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32028, 32061, 32108, 32175, 32268, 32393, 32556, 32763?\n\"Answer: g**3 + g**2 + 23*g + 32003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 11*y**2 + 18*y + 103. Let f be z(-4). Is f bigger than -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -921335, -1842172, -2763009, -3683846?\nAnswer: -4604683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i. Let c = 4 + -2. Let q(n) = c*n + n + n. Let p(r) = -r. Let l(o) = -6*p(o) - q(o). Calculate l(k(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*p = -184, -5*c + p = -4*c - 35. Let f = -2 + 6. Let r be ((-2)\/f)\/(3\/(-108)). What is the greatest common factor of r and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 74. Calculate the smallest common multiple of 4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*4\/10*25\/20. What is the nearest to d in -3, 52, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/135456 and 49\/5485968?\nAnswer: 10971936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -319.1 * -0.4.\nAnswer: 127.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - t**2 + 6. Suppose 0 = 18*c - 15*c - 45. Let w be (-3 - c\/(-6))*(-2 + 2). Give d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 62?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 676.377 - 674. Let n = i + -28.997. What is n rounded to zero decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1592150 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-2 - (-105)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 121733*x**2 + 2. Let h(q) = -2*q. What is u(h(n))?\nAnswer: 486932*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 + 149 + 813 + 7*t + 10 - 13*t + 5*t.\nAnswer: -t + 1329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13610058?\nAnswer: 2, 3, 7, 11, 89, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.8 + 9.7. Let p = d + 13.278. Let f = p + -0.17800157. What is f rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = i - 9498, 5*w + i - 542 - 11329 = 0. Which is smaller: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22596 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51676*w**2 - 1 + 12 + 11 + 51601*w**2 to the form v + x*w + r*w**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 939750 and 167544?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.019, -2, 0, -3, 17, -4?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6 + (-5)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.2. Let j = -5.2 + 6. Let t = j + o. What is the closest to 0 in t, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7 + 5*i**3 - 10*i - 5*i**2 - 4*i**3 + 8*i. Let y be m(5). Is y > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -103469, -103469, -103467, -103463, -103457, -103449?\n\"Answer: v**2 - 3*v - 103467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 53 + -60 + (-1 - -7) + 74.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Suppose 0*s - 2*k + 2 = 2*s, -2*s = -h*k - 16. Solve -s*m = 4*i + 21, 0 = 3*i - m - m + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2448 and 19\/54672?\nAnswer: 164016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/554323 and -93\/158378.\nAnswer: 1108646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3653 + 5275. List the prime factors of d.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*-0.34\nAnswer: 5.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/120 - 59*b**5\/60 + 115*b**4\/24 - 67*b**3\/6 - 407*b**2 - 5*b + 3. Calculate m(57).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 119 - (-8685 + 8694).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7 - 9, -t - 3*l - 3282 = 0. Let k = 7490 + t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/15 (c) -3 (d) -0.2 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, s: 1, z: 3, l: 1}. Give prob of picking 1 s and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*i - 29. Is 3 - (-53 - i\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*d - 56, 2*d = 3 - 11. Solve 2*n - 5*n - y = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 15, -2*w + 4*f + 15 = f. Let p be ((-6)\/(-28))\/((-93)\/4). Let s = p + -151\/7161. Is w not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -83*x + 74 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*m**3 + 7948*m**2 - 830*m - 2817 wrt m.\nAnswer: 360*m + 15896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*1\/((0 - 6)\/2). Let v be 34\/w + (35\/10 - 3). Let t = 75 - 39. Calculate the greatest common factor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) 0.02 (c) -2.19 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 125583?\nAnswer: 251166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.3, -1, -6, -0.1186?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(60\/(-125))*(1 - 2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*t + 7251*t**2 + 18517*t**2 + 345*t.\nAnswer: 25768*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2\/(-7))*63\/17388*92?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 1, x: 1, p: 7, y: 4, z: 2}. What is prob of sequence qz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 13756321\nAnswer: 398933309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1196 divided by -52\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -6 (c) 8 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -1\/2*f**2 + 1\/3*f**3 + 2*f + 0. What are the prime factors of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 0 (d) -1626 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(132\/105) - 6\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1202?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 6576426?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 20719 (b) -5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 46) + (3 - (1 + (4 - 57))) + -11\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 168*l + 27. Let g be z(84). Solve -22*w - 27 = -g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x - 19. Let q be b(-9). Let m = 115 + q. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.9039 and 0.5.\nAnswer: 11.4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78*(427\/21 - 19). Solve -w + 7 = 2*h, w - f*h = -109*h + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {b: 3, r: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50498604 to the power of 1\/2, to the nearest integer?\nAnswer: 7106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2308, 312.\nAnswer: -6, 312, 2308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16174 is divided by 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 10*d**2 - 9*d - 11. Suppose -l = -g + 2 - 0, 50 = 5*g + 5*l. What is y(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -4, 91, -0.5.\nAnswer: -4, -0.5, 4\/3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27*7 + -1 + -1. Let v = 225 + -77. Let w = v - 131. Calculate the greatest common divisor of w and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 77.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 87*139\nAnswer: 12093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.01, -0.081, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0754487137 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9934365 and 18?\nAnswer: 59606190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -1)*2\/(-3)*(-5)\/70.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -116. Suppose p*x - 3824 = -387. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from vvvcvcvv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 20*b**2 + 2*b - 12. Let l be w(-5). Let u(x) = 30*x - 29. Let o be u(12). Let m = l - o. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1293*t**3 + t + 2504*t**3 - 1210*t**3 + 450*t**2 - 3 to b*t + s + m*t**3 + v*t**2 and give v.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1400\/560)\/((-2)\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 663\/373 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -969, -1460, -1953, -2448, -2945, -3444?\nAnswer: -3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -871, 2, -4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 97.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*t - 107 + 939 = -2068 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + 1 + ((49 - (21 - -9)) + -12 - -4)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -111. Let k(h) = 21 + v*h - 31 - 32*h. Calculate k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106927 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 30*h + 715 = -14*h + 2695 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3377, 6753, 10129, 13505, 16881, 20257?\nAnswer: 23633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 787733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p**2 - 7*p. Let w(o) = 5*o**2 + 4*o. Let u be (3\/(-6))\/(7\/(-84)). Let b(i) = u*c(i) + 11*w(i). Let n be b(2). Solve -n = 4*j - 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -11*b**4\/6 - b**2\/2 + 4*b + 8. What is h(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 15\/5 + 5 + -1. Suppose -3*k + 481 = v*d, 5*d = 5*k + 3*d - 781. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 966\/(-6)*(18\/(-9))\/14\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.135? (a) -2\/7 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300448 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347 + 347.471. What is q rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:28 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 15. Let z be f(7). Let a(q) = 3 + 1 + 2 + 5*q - 7 + 2. Determine a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 - (5 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -0.180234.\nAnswer: -0.580234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**7\/630 + 11*h**6\/60 + 1153*h**5\/180 + 88*h**4\/3 + 512*h**3\/9 - 196*h**2. Factor g(l).\nAnswer: (l + 1)**2*(l + 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.62 - 39.72. Let g = z - 58.9. Which is smaller: 1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 96*i**2 + 96*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 44.999472. Round x to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 + s**2 - 2*s**2 - s**2 + 0*s + 0*s + (1 - 5 + 3)*(-2*s**2 + 1 - 1) - s**2 - s**2 + 5*s**2 - 7*s**2 + 3*s**2 + 2*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.837308t to grams.\nAnswer: 2837308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 8*d - 37. Let c be a(4). Solve -5*s - 4*f = -31, 0*s + 3*f - c = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/9, -4, 293, 2473, 1\/8 in descending order.\nAnswer: 2473, 293, 8, 1\/8, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1\/3*k**3 + 0 + 0*k**4 + 2*k + 0*k**2 + 1\/20*k**5. Let h(i) be the second derivative of q(i). Let j(m) = m. What is h(j(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000727291 to 6 decimal places.\nAnswer: 0.000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/30*(-1608)\/(-7504)*-7*(-3)\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + 89.5. Let o = -38 - r. Which is the closest to 3? (a) -5 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-5))\/((-4)\/10) + 5. Suppose 12 = -3*z, -4 = y*r + 2*z + 2*z. Solve -3*g - u = 16, -r*g + 2*u - 12 = 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-126)*-35 + 3\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -95, -989, -3453, -8273, -16235, -28125?\n\"Answer: -131*c**3 + c**2 + 20*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 + -2 - (-5 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 71, 98, 125, 152?\n\"Answer: 27*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2, -1, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7201?\nAnswer: 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*g + 26, 3*j + 3*g + 7 = -5. Let c be 5380\/90 + (-2)\/j. Let f be 1 + c + 16 + -14. Calculate the greatest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -411, -502, -593?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/18 + -4*(-7)\/(-126). Suppose 35 - 23 = d*h. Put -17, h, 3 in increasing order.\nAnswer: -17, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-2*c**3 + 2*c**3 - 2*c**3) - 9*c**3 - 2*c**3 - 4*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let a(h) be the third derivative of -h**5\/15 + 267*h**2 - 2*h. Give f(a(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4\/2 - 17772*a**3 - 133347303*a**2\/2 - 76450370697*a = 0?\nAnswer: -4833, -2182, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54645 + -13114841\/240. What is the common denominator of 77\/320 and c?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {e: 6, d: 1, r: 7, w: 4}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27*1.543\nAnswer: 41.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from luuuululooolooo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-448)\/(-20)*(-540)\/432.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140536271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -1. Let c = 0.35 + 15.65. Let l = v - c. What is the closest to l in 2\/3, 3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -18. Find the second derivative of -5 - 7 + x*g - 22*g**5 + 12 wrt g.\nAnswer: -440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-7)\/v*v*v**(-4\/11)*(v**1)**(-12) assuming v is positive.\nAnswer: v**(-202\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, e: 4, o: 3, m: 5, z: 1, b: 5}. Give prob of sequence bmmv.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + -1 + ((sqrt(567) - 2*sqrt(567)) + 4 - (2 + (sqrt(567) - (1 + sqrt(567))))))*-6)**2.\nAnswer: -648*sqrt(7) + 20443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 957, 994, 1057, 1146, 1261, 1402?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 8*g**2 - 8*g - 5. Let c be u(-7). Suppose -z + c*o + 4 = -6, 30 = 5*z - 5*o. Suppose -4*i + 0 + 2 = z*l, 0 = i + 1. Is l < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 23. Let q = -3490 - -13885\/4. Calculate the common denominator of q and -1 + (-1)\/(x\/69).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 39*r + r + 4*r + 34*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(17) + (1 + sqrt(17))*2 + sqrt(85)\/sqrt(5) + 1)**2*5.\nAnswer: 120*sqrt(17) + 1406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpwqxxjqjqxxxxaxjx. Give prob of sequence pxj.\nAnswer: 11\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 p when three letters picked without replacement from {s: 4, r: 1, p: 1, h: 8, x: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*g + 21*g - 471*g - 301*g - 79*g)*(-2*g + 0*g + g).\nAnswer: 1011*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 1.0138276311.\nAnswer: -32.9861723689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/9)\/((1216\/(-48))\/38). Let c(f) = -18*f**2 + 4. Let i(d) = -35*d**2 + 7. Determine k*i(v) + 7*c(v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272181221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-50))\/(-9 - (-329)\/35). Suppose -o = -0*o - 2. Suppose 0 + 0*u - y*u**o - 2\/5*u**3 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 8*p - 3*u - 4 = 9*p, 6*p + 4*u = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13693101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g - 13. Let v be x(0). Is v != -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((9\/1)\/(10 + -4)). Let u = 8 + 0. Suppose k + k + 2*r = -u, -r = 4. Solve k = -p*n + 2 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 3133*n**2 + 3147*n**2 - 6283*n**2.\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -51?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 707.\nAnswer: 5\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4792 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -73\/87 (c) 17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15422 (base 6) to base 14\nAnswer: -cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v - 3*v)*(2 + 1 - 5 - 3 + 3 - 2 + 0 + 0 + 2 + 5 - 4 - 3 - 2 + 5 - 4 + 5 - 3 + 0 + (6 - 3 - 1)*(-2 - 1 + 2) - 5 + 2 + 4).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 + k**2 + 12678. List the prime factors of l(0).\nAnswer: 2, 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1307 (base 10) to base 8\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -69709*k - 1882144. Give v(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, d: 1}. What is prob of sequence yu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a2b3 (base 15) to base 11\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(14)\/sqrt(2)*-4))\/(-1*(sqrt(162) - (sqrt(162)*-3 + sqrt(162)) - sqrt(162))))**2.\nAnswer: 1\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.97064 weeks to microseconds.\nAnswer: 18126243072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/135 - 2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 8*q + 152. Suppose -3*f = -2 - 4, 131 = j - f. Calculate the highest common divisor of j and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000306736 rounded to 7 dps?\nAnswer: -0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 483*m**4 - 23037*m**3 - 288273*m**2 - 891864*m - 807300 = 0. What is m?\nAnswer: -75, -69, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430*d**6*v**2 - 49*d**6*v - 999*d**2*v**2 + 12*d + v wrt d.\nAnswer: -51600*d**3*v**2 - 5880*d**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1142257 or 12\/11?\nAnswer: -1142257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 equal to -38.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 1075, 3658, 8701, 17032, 29479?\nAnswer: 46870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-5)\/((-30)\/(-9)). Which is the biggest value? (a) 10 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose 4*x - 3*x + 2*y - 11 = 0, 4*x - d*y = -6. Solve 5*n + 24 + 4 = 3*b, 0 = n + 4*b + x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (16\/(-1) - 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from fgffffffggfgfffg.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/3 + 22640*p**2\/3 - 317254*p\/3 + 370244 = 0.\nAnswer: -11334, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 9*z**2 + 9*z + 8. Let c be k(8). Let l = 17 - c. Let d be (-12 - -19) + -1*l. Calculate the highest common divisor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -2.6.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m = 28. Suppose 2*u = 3*u - 3. Suppose 3*o - 11 = -c - u*c, -2*o + 10 = 4*c. What is the smallest common multiple of m and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = u - 3*u + 148, -3*u + 233 = -4*k. Suppose -4*a + 0*x + u = 5*x, -5*a + 102 = -2*x. What is the lowest common multiple of 12 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o + 146*o + 91*o.\nAnswer: 264*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7395 = -5*c + 4*p - 6*p, 2*p - 4433 = -3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -85. Calculate the highest common divisor of 299 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 - 91*z**2 + 40*z - 3?\nAnswer: 24*z**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 31455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820867977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/8325 and -97\/72.\nAnswer: 66600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/80)\/(61\/(10736\/1650))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370503.\nAnswer: 3, 7, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 + -1.6. Let s = -0.04 - 0.06. Which is the closest to s? (a) -3 (b) 1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/11 + 16000*m**2\/11 - 32411944*m\/11 + 1642438304\/11 = 0. Calculate m.\nAnswer: 52, 3974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 601 - 601 + 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 0 - 4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 + -402589?\nAnswer: -402710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -934325?\nAnswer: 934329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**3*t**2 - 19*c**3*t + 3*c**2*t + 2446306*c**2 - 400*c*t**2 + 42940*t**2 + 2 wrt t?\nAnswer: -12*c**3 - 800*c + 85880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 10, 88.\nAnswer: 0.1, 10, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, c - 3*c - 4*r = 216. Let a = -55 - c. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*l**3 + 14*l**2 + 22691*l wrt l.\nAnswer: -2046*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 178, 357, 536, 715, 894, 1073?\n\"Answer: 179*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. What is the remainder when (28 + -138 + 41)*1\/(-3) is divided by (f\/(-6))\/((-1)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 - 39535*i**4 - 78925*i**3 + 988375*i**2 + 1976250*i = 0. What is i?\nAnswer: -7905, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25522, 51057, 76592, 102127?\nAnswer: 127662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.052 - -0.042. Let x = -3.334 - -0.344. Let f = d + x. Which is the nearest to 3\/4? (a) f (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7035*b**2*m**3*u + 14*b**2*m + 42*m**3 wrt u?\nAnswer: 7035*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112112 + -11?\nAnswer: 11112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 - t - 4. Let p be k(-3). Let a = 19 + -18. Put a, -4, p in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*m + 5*y, 2*m + 16 = -3*y + 37. Solve m*t = -0*t - 6, -5*f + 21 = -3*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Let z = 24 + -30. Let c be z\/(-18) + (-5)\/6. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 12. Suppose 6 = -3638*b + 3637*b. Let i(j) = -3*j - 11. Determine b*i(s) - 5*g(s).\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m + 840 = -83*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234.108 millennia in years?\nAnswer: 3234108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 387850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 259, 652, 1047, 1444, 1843, 2244?\n\"Answer: d**2 + 390*d - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3890910 - -3890929.49893. Let v = u - 19.5. Round v to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6555915 is divided by 3563.\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1996082*v. Let z(b) = -2*b**2. What is i(z(t))?\nAnswer: 3992164*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8598701 a multiple of 1638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 187 + 7*c - 187.\nAnswer: 7*c - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 73409?\nAnswer: 3083178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98 - -78 - (7 - 4)) + -14?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b = 15*b - 55*b + 730. Which is smaller: b or 78?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -18*k**3 + 3*k**2 + 33*k. Let v(j) = -7*j**3 + 3*j**2 + 16*j - 1. Let m(g) = -2*n(g) + 5*v(g). Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from junqqj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25387, -25347, -25307, -25267, -25227?\nAnswer: -25187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 257*z**3\/2 - 2993*z**2 + 35*z - 50. Differentiate k(d) with respect to d.\nAnswer: 771","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 162, 228, 294?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -512 at most as big as -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + j + 3. Suppose -p = -1 - 5. What is the smallest common multiple of i(-3) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3048421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -704.31 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 32 = 4*f. Let k = -7 + -6. Let x = k - -25. What is the greatest common divisor of x and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-280)\/640 + (-18)\/(-96). Let v = 7 - 4. Which is the closest to 1\/2? (a) 0.04 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162296849 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-18)\/4)\/((-89)\/356)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -472, -1, 9, 4, 3 in decreasing order.\nAnswer: 9, 4, 3, -1, -86, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 4*g**2 - 7*g + 1. Let m be o(5). Let t = m + 11. Solve -t*a + 14 = 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 73*g - 76*g + 4, 15 = s - 5*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 3. Suppose -4*h + 10 = t, 4*h - 26 = -3*t + 20. Suppose 3 = 5*c + t. Let y(r) = -2*r - 2. Determine c*m(b) - 4*y(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -79*d + 52. Let p(v) = -70*v + 45. Let h(n) = -7*p(n) + 6*r(n). Suppose 5*l + 3*q = -0*l + 4, -5*q - 20 = -5*l. Calculate h(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3. Let o(p) = -p - 16. Let f(c) = 4*i(c) + o(c). Let r be -2 - -3 - -2*1. Suppose 2*h = -4*y - 18, -h - 7 = -2*y + r*y. What is f(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 317*q**3 - 19*q**2 + 76*q + 3. What is the thousands digit of o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 218 and 8192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:38 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/((-663)\/(-39))*(18\/(-156))\/(2\/(-4)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1295, 3, -7, -103, 4 in descending order.\nAnswer: 4, 3, -7, -103, -1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/((-2)\/5). Suppose 0 = -n*g - 6, -t + 5*t + 17 = -3*g. Let p = -2 - t. Solve 2*u + p*u = 3*v - 20, 3*v = -u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -2559.\nAnswer: 4094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 19*v + 9. What is m(-10)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 26. Let j be q(8). Suppose -4*v + 4*p = j*p - 142, 4*p + 4 = 0. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**2*k**3 - 25*b**2*k + 5*b*k**2 + 2*k**3 wrt b?\nAnswer: -18*k**3 - 50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*s + 59. Suppose 2*u - s = -3*u. Solve -5*n = -n - 4*p - 4, u*n = 4*p + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, l: 15}. Give prob of sequence cl.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 15. Let i be 6 + (-15)\/(-3)*16. Suppose 68 = 3*s + i. What is x(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/12)\/((-3)\/(-48)). Let s(g) = 4*g**2 - 7*g + 11. Is s(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:44 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3089, -2, 4, -5 in descending order.\nAnswer: 3089, 4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 26*h**3 + 120*h**2 + 232*h + 160 = 0. What is h?\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 + 3. Let d be r(-5). Suppose -d*c - c + 6 = -b, 0 = -3*b + 6. Solve 11 = -3*w - c*l - 6, 0 = l + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 3*m. Let b be y(-3). Let v(a) = b*a + 5*a - 3*a. Determine v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3151372 (base 10) to base 15.\nAnswer: -423b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0466+-0.114767\nAnswer: -0.068167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 + 4. Let r be o(0). Suppose -r*n - 2 - 2 = 0. Let z = 0.07 - -2.93. Sort 2, z, n in descending order.\nAnswer: z, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2389282*k**2. Let i(s) = -s**2. Give i(c(g)).\nAnswer: -5708668475524*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, -1\/7, -285?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 59. Let m = 49 - c. What is the greatest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 169532.\nAnswer: -169534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-16226))\/(12\/(-14))*(2 + 2).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7*p*p**14*p*(p*p*p*p**(-2\/17))\/p**(7\/4) assuming p is positive.\nAnswer: p**(1641\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 91?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p - 82 = -4*k, p = 5*k - 104. Calculate the lowest common multiple of 28 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/15*(-22 + 31). Let d(m) be the third derivative of m**4\/24 - m**3\/2 - m**2. What is the remainder when 21 is divided by d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**5 - 3*f**4 + f - 1. Let k(m) = -3*m**5 + 12*m**4 - 546*m**2 - 152*m + 6. Let h(u) = -4*c(u) - k(u). Find the second derivative of h(y) wrt y.\nAnswer: -20*y**3 + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1717353 and 11039?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3990 and 3150938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44677?\nAnswer: 43, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 608216?\nAnswer: -1\/304108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w - 4*w**2 + 1\/24*w**4 - 7\/6*w**3 + 0. Differentiate y(x) with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-18) - 179\/(-6). Let n = h + -18. Suppose 0 = 2*z - 6*z + 88. What is the remainder when z is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 141*h - 561. What is the least common multiple of 1233 and u(4)?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-3 - (-60)\/8). Suppose v = -3*g, 0*p = 3*p + 4*g + 690012. Round p to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**5\/2 + 10*j**4 + 5*j**3 - 30*j**2 - 45*j\/2.\nAnswer: -5*j*(j - 3)**2*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -h + 78. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30796208381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 870 divide 282234090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 18. Let s be 6*(7\/(-2) + 3). What is the least common multiple of f(0) and (8\/12)\/(s\/(-63))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - -5. Let k be (-5)\/(-15) - a\/(-6). Sort 5, -5, k in decreasing order.\nAnswer: k, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/(-15) - 444\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726173 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -9. Let s = -5.9948 + l. Round s to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 327*d - 319*d + 3*o + 4, -2 = -0*o + o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6244 is divided by 2077?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 12 = -2*r. Which is the closest to 0.1? (a) 0 (b) r (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 21 + 7 - 9*y**3 - 13*y**3 + 20*y**3 as n*y**3 + b*y**2 + r + l*y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22*t + 226. Let m be q(-34). Let v = 1042 + m. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.01 - -0.71. Let g be 75\/216 + (-16)\/72. Which is the third biggest value? (a) g (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/92 and 57\/8050?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*((sqrt(192)*-1*6*6)**2 + (sqrt(1728)*-2)\/(sqrt(63)\/sqrt(112) - sqrt(9))).\nAnswer: -1492991 - 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 974883093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:55 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372696 by 142.\nAnswer: 186348\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69379 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 155899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143372162*v**3 - 57550*v**2 + 941*v wrt v?\nAnswer: 860232972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(3 + 2*p**5 - 3 + 1) - 144*p**2 + 153*p**2 - 2*p**5 + 24*p**5.\nAnswer: 20*p**5 + 9*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 23588 + 23558 = -5*m, -10*m = -3*h + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -85970 divided by -5\nAnswer: 17194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 4*d**2 - 2*d + 6. Let c be x(4). What are the prime factors of -1 + -3 + (-90)\/c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.240407 litres in millilitres?\nAnswer: 3240.407","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 57 - 21*c**2 + (-2*c - 4*c + 3*c)*(-2 + 2 + c).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541705, 2166356, 4874109, 8664964?\nAnswer: 13538921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 15*y + 147. What is the units digit of a(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1914, 7960, 18036, 32142, 50278, 72444, 98640?\nAnswer: 128866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (41 + -17)*(-3)\/(-4). Let q = -5 + y. Solve -q = 2*s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 978781810*y + 47900691579343805 = 0. What is y?\nAnswer: -97878181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34428.938 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 81.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0 + 0*z + 9*z**2 + 0*z**3 - 1\/6*z**4. Let a(r) = -41*r**2 - 38*r**2 + 77*r**2. Give a(t(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.4 - -1.6. Let n = 71 - 63.4. Let w = a - n. Sort -2, -3, w in decreasing order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 16*y - 38. Suppose 4*f - y = 21. Solve 0*d - 6 = -d - 4*i, 0 = -3*d - 4*i + f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.345 to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 15 + 2*k + 2*k - 2*k**4 - 6*k + 4*k**2 - k**3 - 17 as g*k**3 + d + q*k**4 + a*k + p*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17298*g**6*h + g**2 - 3765*g*h wrt g?\nAnswer: -2075760*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86184 by -1134.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1898388 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -83*j. Let m(s) = 669404*s**2 + s + 2*s - 3*s - 669406*s**2. What is m(u(d))?\nAnswer: -13778*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-3325)\/(-238) - 14)*28\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6184000 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2528.2 - -2528. Which is the closest to 1? (a) -1\/6 (b) -1\/4 (c) 46 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 155, 109, -2, 1, -4 in increasing order.\nAnswer: -4, -2, -1, 1, 5, 109, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c**2 + 1306. Let f = -5 - -5. Let h be v(f). Find the common denominator of h\/60 - 4\/(-10) and -31\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**3 + 529*c**2 - 297*c - 62. Determine i(75).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, -535, 192.\nAnswer: -535, -5, -4, -3, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32069 - 14904. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641 plus -0.06?\nAnswer: -641.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3149 by 67.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27003041\/2 or -13501521?\nAnswer: -27003041\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048648 to 6 decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -39. Let g be -1 - (-32)\/60*w. Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2. Let g(o) = 115*o**2 - 2*o**2 - 33*o**2 - 44*o**2. Determine g(j(d)).\nAnswer: 900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1392 and 97\/348?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 7. Let x(t) = -2*t**2 + 15. Let i(u) = -13*d(u) + 6*x(u). Let s be i(-1). Solve -4*r + 2*p + 8 = s, 4*r + 4*p - 6 = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-1 + -8)) + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8662 rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 635634 times 0.4?\nAnswer: 254253.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 504 - (4 + 0)*1. Suppose -5*v + u = -4*o, -5*v + o + 515 = -0*o. Suppose 10*f = 8*f + v. Calculate the remainder when f is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 3:08 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 2*f**3 - f**2 - 32539*f + 16096*f + 16443*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 313199588 divided by -12046138\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 6. Which is the third smallest value? (a) f (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440 (base 12) to base 10\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 238471741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36338857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 30 = 0. Let s(p) = 11 - 5 - u + p. Let q(v) be the first derivative of 2*v**3\/3 - 1. Give q(s(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34504 is divided by 8610?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 21*r**2 - 18*r. Let v(c) = 6*c**2 - 5*c. Let a(s) = -s**3 - 18*s**2 + 2*s + 41. Let y be a(-18). Determine y*g(m) - 18*v(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*6\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-18)\/14. Let j = -0.2 - -0.24. Let n = -0.34 + j. Put n, 3\/2, i in descending order.\nAnswer: 3\/2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 15 = 3*y, 4*l - 14 + 4 = -2*y. Let s be 5 - -12 - (l - -2). Suppose -a = -d + 3, -5*d + 3*d + s = -5*a. Solve d = 2*v - v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.04 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 15 = h, 361*h - 20 = 362*h + 3*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.3, -3\/4, 0.117?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128719036.\nAnswer: 2, 17, 1892927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7205 and 12445?\nAnswer: 136895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19334*b + 9432*b + 9380*b)*(3 - 3 + 2*b) + 0 - b**2 + 0 + 3*b**2 - 2*b**2 + 2*b**2.\nAnswer: -1042*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7 - -9) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-10)\/(m**(2\/3)*m))**3)**(-1\/45) assuming m is positive.\nAnswer: m**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -26*q**2 - 23 + 69 + 47 - 2*q**3 + 3*q**3 + 5*q. List the prime factors of m(26).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193 by 232.\nAnswer: -193\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let b(a) = 26*a**2. Determine h(b(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -17*g + 97. Let y(z) = -8*z + 72. Let c(f) = -f + 10. Let a(i) = -12*c(i) + 2*y(i). Calculate -9*a(q) + 2*d(q).\nAnswer: 2*q - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5*b - 5)*(-7 + 8 - 2)*(4*b + 0*b - 3*b) - 18*b - 3*b**2 + 18*b to y*b + p + f*b**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) -3\/2 (c) 2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x\/((x**5*x)\/x))\/(x\/(x*x**3)*x**(-6)\/x*x*x) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311\/744 + -4\/93. Let g = 0.0366455 + -0.0366455. What is the nearest to g in 3, 0.5, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*l - 1293, -591 = -2*l - 4*m - 57. What is the least common multiple of l and 6?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1*-1 + (sqrt(102) - -1*sqrt(102))*-5)*5)\/((sqrt(4860) - -2*sqrt(4860))\/(sqrt(10) + sqrt(30)\/sqrt(3)*-5)).\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3058*u + 2714 - 2714 + (-4 + 1 + 4)*(0*u + 0*u - u) + 0*u - u - u + (-3 + 3 - 2)*(2*u - 4*u + 4*u).\nAnswer: 3051*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -1 - (-17 + -1 + 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (16930\/(-40))\/((-2)\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65941 = -6945*o + 420136 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85, -187, -343, -541, -769, -1015, -1267?\n\"Answer: 2*i**3 - 39*i**2 + i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 878058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203559244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*f**4*t**2 + 864279*f**4 + 5*f**2*t**2 - f**2*t - 22953*f**2 + 2*t wrt f.\nAnswer: 360*f*t**2 + 20742696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (95 - -2)*(-2 + 4 + -1) is divided by 32 + (2 - (-2)\/(-2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3029095211278 and 0.01.\nAnswer: 3029095211278.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(3\/4)\/(y\/y**(-1\/4)*y**(3\/4)\/y))\/((y**(-1))**(1\/6)*(y**(-4)\/y*y*y)\/y*y**6) assuming y is positive.\nAnswer: y**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -629 divided by -5\nAnswer: 629\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*7\/(147\/7)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*c**2 - 7*c**2 - 34*c**3 + 10*c**2 - c to the form v*c**2 + w*c**3 + t*c + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = 29*f + 1072. Let d = -130 + f. Solve -d*h + h + 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0145781741 to five dps.\nAnswer: -0.01458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + 5*w**2 - 5*w**2 + (-w + 0*w + 0*w)*(-1 - 1 + 0)*(5*w**2 + 6*w**2 - 7*w**2).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by ((-2350)\/(-658))\/(-1 - (-8)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/360 + 1021\/9. Solve 3*w + r = 123 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 145245086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065?\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 349, 2\/9, -2\/17, -3 in decreasing order.\nAnswer: 349, 2\/9, -2\/17, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + f**3 + f**3 + 6*f**3 + 2 - 37*f**4 + 26*f**4 to m*f**3 + d*f**2 + k + o*f**4 + y*f and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 20 = b. Let d be (b + 10\/6)\/(2\/(-18)). Solve -d*j + 6*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -907717 - -15988.1.\nAnswer: -891728.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -23, -104, -255, -500, -863, -1368, -2039?\nAnswer: -2900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.218854 and 5.\nAnswer: -1.09427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*i**4 - 172*i**2 - 209568?\nAnswer: 152*i**3 - 344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f**2 - 729*f + 210.\nAnswer: -3*(f + 35)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -7 - (-414)\/(-574). Let a = i - -12\/41. What is the biggest value in a, 1\/4, 0.07?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 44*b. Let v(p) = -9*p. Let l(n) = 5*g(n) + 24*v(n). What is the units digit of l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (37 + -32 + -54)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 31, 4, 274, -1 in increasing order.\nAnswer: -11, -1, 4, 31, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 5*v + 3*g, -2*v - 4*g - 92 + 4 = 0. Let t = -28 - v. Suppose -p = p - t. Solve 2*u - 4 = -p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in 0.4, 371, -2\/3, 153?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eecc + -b8?\nAnswer: ee14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let c be (-12)\/18 + (-1)\/o. Let d = -60 - -61. What is the nearest to 1 in -0.2, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y**2 - y + 1. Calculate the lowest common multiple of 28 and n(2).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(-3276)\/(-156)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnjnnndjjnmds. What is prob of picking 1 m and 2 j?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63424787 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11874281, 11874311, 11874361, 11874431, 11874521, 11874631?\n\"Answer: 10*d**2 + 11874271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l, 3*j = 5*l. Let q be j - (-1)\/((-2)\/(-4)). Solve -1 = o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -39, -120, -233, -378?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-4 - -3) + (-13 - -31 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 + 2*i**2 - i - 5. Let u(q) = -q**3 - q - 1. Let m(z) = -k(z) + 2*u(z). Let r = 48899 - 48902. Calculate m(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/18 + -9)*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 589? (a) 34 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1246 divided by 1785.\nAnswer: 178\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 5*v + 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + -26006?\nAnswer: -26020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 1, -5, -187 in decreasing order.\nAnswer: 14, 1, -1, -5, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0, 5*x = -2*r - 35. Let m = -5 - x. Suppose m*p + p = 5*f + 47, -4*p + 48 = -3*f. Solve -n + p = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67194.59cm in kilometers?\nAnswer: 0.6719459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -1\/5*p - 3\/10*p**2 - 1\/20*p**4 - 1 - 1\/5*p**3. Factor i(k).\nAnswer: -(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -60603?\nAnswer: 1\/60603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.1975 to one dp.\nAnswer: 112.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 536*z. Let x(h) = 1104*h + 2720. Let b(d) = 41*d + 102. Let r(s) = -80*b(s) + 3*x(s). Calculate r(q(y)).\nAnswer: 17152*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*6 - ((4 - 11) + 10). Suppose 4*s + a*i = i + 22, s + 3*i - 18 = 0. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elegyyyyeeyyjgg. Give prob of picking 2 g, 1 l, and 1 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 82332.79kg?\nAnswer: 82.33279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 + 159*k**2 - 80*k + 31. Let a be t(-27). Let i(w) = w**3 - 5*w**2 + 10*w - 19. Calculate i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 462 = 38*v. Is v a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 6) to base 5\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 5*f**2 + f)*(-20 + 2*f**2 + 17 - f**2) + (51*f**4 - 63*f**4 - 74*f**4)*(-2 - 1 + 2) as p*f + a*f**2 + n + o*f**3 + z*f**4 and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410155 + 3?\nAnswer: 410202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxux. Give prob of sequence uxux.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxrqxqqqxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*y = 7, -15*u + 8*u - 34 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*j**5 - 3*j**4*t - 1144*j**3*t - 10*j**2*t - 5*j**2 + 56*j*t + 3*t + 2 wrt j.\nAnswer: -2460*j**2 - 72*j*t - 6864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 128294 * 17\nAnswer: 2180998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 898578.9cm?\nAnswer: 8.985789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 13 - 7. Suppose -2*x = -x. What is the third biggest value in x, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6990 is divided by 101?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 3. Let k be h(4). Suppose k*b = b + 8. Suppose -b*y + 0*y = w - 37, 3*w - 48 = -3*y. What is the highest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:51 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecrccrrccecgrc. What is prob of picking 1 r, 1 e, and 1 c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 8 - -1 - 2. Suppose -v*n - 4 - 6 = -2*u, u = -2*n + 5. Suppose 4*z - 8 = n, 29 = -3*w + 2*z + 514. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*((sqrt(110) - (sqrt(110) - (sqrt(110)*2 + sqrt(110)) - sqrt(110)))*5 + sqrt(110)))\/((sqrt(250)*-2 - sqrt(10)*-1*6)*-3).\nAnswer: 35*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 6*u)*(17*u - 54*u + 24*u).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5*(-10)\/2. Let c be (-16)\/30 - (-2)\/(-15). What is the second biggest value in c, -3, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from rxxaxxxrxrxxrrbrrrr?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**4 - 14\/3*h**3 + 0*h**5 + 0*h**2 + 15 - h**6 + 0*h. Find the third derivative of n(k) wrt k.\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*1)\/(sqrt(12)\/sqrt(12)) + ((((sqrt(204)\/sqrt(4))\/sqrt(3) - sqrt(17)) + sqrt(17))*4*5)**2.\nAnswer: 2*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -1428540?\nAnswer: 1428536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60064396 by 3724.\nAnswer: -16129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y + 68. What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020776 times -0.5?\nAnswer: 0.010388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 105 = -2*m + 2*g, g = -m + 40. Suppose 5*h + 51 = 3*q, 0*q + 4*q = h + 51. What is the remainder when m is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + 54. Suppose -4*l = 3*k - a, 0*k = 5*k + 5*l - 205. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23350366, -23350376, -23350386, -23350396, -23350406?\nAnswer: -23350416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from comiecode. What is prob of sequence mi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:05 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + -1 + 5 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 1\/40*b**5 - 1\/12*b**4 + 0*b**2 + 3 - b**3 + 0*b. Let y(p) be the third derivative of d(p). What is y(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2540 and 386 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154, -314, -478, -646, -818, -994, -1174?\n\"Answer: -2*d**2 - 154*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 + 0 + 0)*((3 + 25 + 3)*(5*r - 2 + 2) + (-2*r - 2*r + 5*r)*(2 + 2 - 2) + 0*r + r - 2*r) in the form i*r**3 + j*r**4 + c*r**2 + p + d*r and give j.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -202*z. Let y(v) = -18*v - 38. What is y(h(a))?\nAnswer: 3636*a - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/3 - 5*c**2\/2 + 9*c - 10. Let u be r(7). Suppose u = b + 19. Solve -b*h = 5*f - 7 - 14, -4*f + 15 = 5*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-5)*1*5. Let t = -4.09 - -3.89. Sort j, t, 0.1, -3 in ascending order.\nAnswer: -3, t, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09289667 rounded to 3 decimal places?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/780 and -21\/2080.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 4a?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -24*g**2 + 22*g - 132. Let m(b) = 13*b**2 - 12*b + 66. Determine -11*m(q) - 6*u(q).\nAnswer: q**2 + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 7376527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z + 4*i - 3, -i + 17 = 4*z. Which is the closest to 37? (a) -3 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100 (base 2) to base 4.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1840 and 27408.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((9\/(-78))\/(27\/(-144))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 3. Let r(o) = -o + 3. Let q be r(0). Determine x(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61.4 + -64.4. What is the nearest to 2\/11 in 3\/2, 5, 2\/3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17130.\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**2 + 12*m + 12. Let a(u) = -u**2 + u + 1. Let l(c) = -60*a(c) + 5*o(c). Let y(g) = 2*g. What is y(l(i))?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21158355 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 9 + 19*h - 9 - 52*h to the form t*h + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -46. Let c = u + -80. Let m = c + 209. List the prime factors of m.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 101 = 2*d, -109 = -3*d - 0*d + m. Let b = -1 + d. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2619328 to the nearest integer?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = a + 10, -32*k - 40 = -3*a - 34*k. Suppose -5*t = -5*i + 205, 0 = 5*i - 0*t + 3*t - 245. What is the remainder when i is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.9999957 + 53. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 - -437. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53116965 is divided by 1812.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 + 4*u**2 - 7. Let n be p(3). Suppose -4*t + 389 = -c - n, -4*t = -4*c - 532. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047707 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 32939553036 + 32939553036.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -294 + 413. Let h be t\/21 + 3\/9. What is the least common multiple of 11 + 4\/2 + h\/(-2) and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2015 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**4\/5 - 6*x**3\/5 - 588*x**2\/5 + 3626*x\/5 - 4116\/5 = 0?\nAnswer: -14, 3\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48504 or 48502?\nAnswer: 48504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 5 - 3 + 8*v**3 - 8*v**3 + 110*v**2 + 7.\nAnswer: 2*v**3 + 110*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*x**5 + 86341*x**4 - 342*x**2 + 3477*x?\nAnswer: -900*x**2 + 2072184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 11*x**2 + 6*x - 8. What are the prime factors of n(11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (61 - 21) - (0 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*q + 8, 0 = -3*z + q + 6 - 2. Suppose 6*f - 5*f - 2 = z. Let g(r) = -r + 4. Let l be g(4). Put l, f, -2 in decreasing order.\nAnswer: f, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*p + 10, 2 - 12 = -5*p + 3*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6034)\/8)\/((-7)\/((-28)\/(-1))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133 - -148) + (-11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38405, 76806, 115197, 153572, 191925, 230250, 268541, 306792?\n\"Answer: -q**3 + q**2 + 38405*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36\/85 + -14\/17. Which is the nearest to 1? (a) -5 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*c - 1993*c - 2356*c - 28*c.\nAnswer: -4746*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24767498.\nAnswer: 2, 7, 71, 24917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.620611031 rounded to five decimal places?\nAnswer: -0.62061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 times 459?\nAnswer: 109701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-84))\/(2 - (-26)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3)\/((-3)\/(-2)). Suppose b*x = 9*x - 1000. Let n = 288 - x. What is n rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t + 7. Let o(g) = 3*g**2 - 7*g + 21. Let p(h) = 3*o(h) - 8*v(h). What is p(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.061956 and 0.8?\nAnswer: -16.0495648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 3*j**2 + 4*j - 3. Give g(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/7050 and 151\/493500.\nAnswer: 493500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let a be 6 + ((-12)\/28)\/((-1)\/(-7)). Solve x*o = -a*o + 2*n + 1, o + 5*n - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7560 and 280.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3767*g + 119790 - 125847 = -529670 for g.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0 - 29\/2*m**3 - 3\/20*m**5 + 0*m + 1\/24*m**4 - 119*m**2. Find the first derivative of k(r) wrt r.\nAnswer: -18*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -465*k**4*y + 2*k*y**2 - 38*y**2 + 16*y wrt k.\nAnswer: -1860*k**3*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/1394*-493 - 38?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/4 - 7*j**3\/3 - 9*j**2\/2 + 3*j + 9. Let p be g(8). Let k(w) = 128 - 67 - 60 - 2*w. Determine k(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -21*s**2 - 1149*s + 2324. What is b(2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 take away 0.38?\nAnswer: -389.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70\/3 + 23. Let t = 3474.038 - 3484. Let u = -0.038 + t. Are k and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Let g = -3622 + 3626. Let x be ((-45)\/m)\/(-9)*g. Is 5 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*g - 6 = -0*g, 5*g = -2*n - 9. Suppose 4*k = -4*q + 29 - 5, 3*q = 3*k + 12. Solve n*s - 4*s = 3*i - 11, 0 = q*s + 4*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 7*p**2 - 3. Let o be a(-7). List the prime factors of 2*(-4 - o\/(-8)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 13, i: 1}. Give prob of sequence di.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 851*i**3 + 848*i**3 + i**4 - 2 + 0*i to c*i**3 + x*i + b*i**2 + g + y*i**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*p*s**2 - 901985*p + 20636717*s**2 with respect to p.\nAnswer: 6*s**2 - 901985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(176) + sqrt(176) + 5 + (sqrt(22)\/sqrt(72) - (sqrt(55)\/sqrt(5))**2*1) + 3.\nAnswer: -4 + 49*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 14*x + 69. Let n(m) = m**2 + 4*m - 19. Let b(o) = -j(o) - 4*n(o). Let d(i) = 2*i**2 + 2*i - 8. Give -4*b(p) - 3*d(p).\nAnswer: 2*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 1, m: 3, h: 2, q: 2, s: 6}. What is prob of sequence mh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 77. Suppose 2*o + v - 31 = 4*p, 0 = -4*p - o + 69. Let d = p - 17. Is -12\/11 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.1 - 10.1. Let q = 29.94 - 31. Let a = q + y. Put -0.4, 0.1, a in ascending order.\nAnswer: -0.4, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(304) - (sqrt(304) - sqrt(304)*-2)**2) - (sqrt(304) - sqrt(304)*2)**2*6 - 1*-2*sqrt(304)*3)*-5.\nAnswer: -18240 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 1. Let p be ((-1)\/(-3))\/((-3)\/(-9)). Let z(y) = y + 0*y + y**3 + y - p + 4*y**2. Let c be z(-3). What is g(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 3*r - 103. Let a be s(-20). Suppose 31*f - 28*f = -5*u + a, -5*f + 5*u = -1715. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*l**3 + 2)*(0*l - 1 - l - 2).\nAnswer: -5*l**4 - 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4068 and 2268.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1036 = -5*q + 2*h, -2*q + 830 = 2*q - h. What is the highest common factor of 156 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118703 is divided by 503.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 take away 319096?\nAnswer: -319049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32 + (8 - (0 - -11)). Suppose -m*t = -31*t + 1050. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 17 - 13 + 3)*(19*v**2 - 83*v - 5*v**2 - 13*v**2) as u*v**2 + x*v + p and give x.\nAnswer: 2075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55.7303 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 3:15 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/26)\/f*f)\/f*f)\/f*f*f**(-5\/2)*(f**(-7))**(-5\/4))**(-12\/7) assuming f is positive.\nAnswer: f**(-969\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 4*s + 0*s + 3062*s**3 + 3*s - 6*s.\nAnswer: 3062*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/36 + 151091\/198. Let f = o + -766. Let n = -226\/3 - -1973\/24. Find the common denominator of f and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 530*g*l**3 - 4*l**3 + 260 with respect to g.\nAnswer: 530*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**2 - 16 - 6*f - 19*f**2 + 6*f + 18.\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 562 + -561.01. Let f = 0.34 + -0.53. Let t = f + g. What is the biggest value in t, -0.1, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4 + 21. Suppose 9 = -x*j + 19. Suppose -j*k - 56000012 = 2*k + 4*c, -c = -k - 13999997. Round k to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235896153?\nAnswer: 3, 19, 4138529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o**2 - 2*o + 39. Suppose -17 + 12 = -h. Let r = 5 - h. List the prime factors of f(r).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2*y**3 - 2*j*y**3 - 13*j*y**2 + 2217*y**3 - y wrt j.\nAnswer: 2*j*y**3 - 2*y**3 - 13*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 2*y**2 + 1. Let c be m(1). Suppose 4*j + 4 + 4 = c. Let n be 6\/(-10) + ((-23)\/(-5) - 1). Sort j, 4, n.\nAnswer: j, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7040 and 13\/26400.\nAnswer: 105600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-3)\/17)\/(1128\/(-1504))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -5 (c) 274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 24. Let h be 176\/28*2 - (-6)\/j. Solve 3*v - 2*b + h = 0, -4*b + b = 4*v - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*r - 140 = -4*r, 5*r + 104 = -t. Let u = t - -125. What is the common denominator of -113\/50 and 1746\/(-378) + u*(-2)\/12?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3194 (b) 1\/6 (c) 3\/4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43270, 86227, 129184, 172141, 215098, 258055?\nAnswer: 301012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = 5*v, 0 = -67*v + 72*v - 4*l - 1. Solve -c = 3*d - 5*c - 8, 0 = 4*d - 3*c + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 4*n + 3. Let y be m(6). Let u be 521\/2 - (-3)\/(-6). Let h = y + u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/5 - 3*f\/5 - 18\/5 = 0 for f.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169*-0.01737.\nAnswer: -2.93553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 64, 94, 124?\n\"Answer: 30*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2222 and 26\/59.\nAnswer: 131098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2612 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((805\/(-14))\/(-5) - 9)\/((-8)\/(-80)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146720 and 7770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -21, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -459\/7, 3\/2, -2\/15, -5, -0.2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 232?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5582*q**3 - 5*q + 2813*q**3 + 2774*q**3.\nAnswer: 5*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -77.72 times 7.08\nAnswer: -550.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/266*280*(-12)\/8?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 76*v - 140. Is x(8) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 94 (b) 3 (c) -5\/16 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -3 + 37*h + 0*h**2 - 7\/2*h**3. Let a(n) = -2*n**2 + 3*n**2 + 0*n**2. Determine a(j(l)).\nAnswer: 441*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3012 - 3011.77895. Let y = x + 1.58. Let j = y + -1.8. Round j to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 992, 2363, 4592, 7883, 12440, 18467, 26168?\nAnswer: 35747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -274*o**3 - o**2 - o. Let t be r(-1). Let u = -189 + t. What are the prime factors of u?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, p: 5, m: 8}. What is prob of sequence mfmf?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 19*z**2 + 31*z + 23. Let v be s(11). Let j be (-3)\/v + (-7 - 2) + 2970012. What is j rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.87 + -0.13. Which is the third biggest value? (a) p (b) -0.3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 3, -5 in increasing order.\nAnswer: -124, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*y**4 - 18*y**4 + 31*y**2 - 8*y**4 - 39*y**5 wrt y.\nAnswer: -2340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41083608?\nAnswer: 2, 3, 1711817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1064 + 1066.9184. Let y = -0.0816 - o. What is the third smallest value in 5, y, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -1. Let v be q\/2*2 - -1. Let r be v - 2\/(-1) - -9. Solve -3*o - 21 = -5*m + r, 14 = 3*m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 10496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.7371 micrometers in meters?\nAnswer: 0.0007367371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 35. Suppose -2*i = -4*s - p, 4*s = -2*i + 5*i - 31. Suppose -24*b - i = -25*b. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 270*k + 1651 - 1651 + 3*k**2 as f + n*k**2 + o*k and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101221011 (base 5) in base 12?\nAnswer: -961966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -82*t**2 + 24606*t + 148712. Determine p(306).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 3214*x**2 + 32352806*x\/5 + 289875042\/5.\nAnswer: 2*(x + 9)*(x + 4013)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -14 + 34. Let a = x - -21. Sort a, 5, -0.08 in decreasing order.\nAnswer: 5, a, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Suppose -2*t + 2259 = -r*t. Let k = 1084 + t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 3*x**2 + x - 1. Let n be a(-2). Let h = 5 + n. Let q be (h\/6)\/(6\/(-18)). Solve 0 = -2*j + 4*o - 10, -4*j - 1 = o + q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838.4692l to millilitres.\nAnswer: 838469.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 - 2036\/5. Find the common denominator of p and -41\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -380.3 (b) 3\/7 (c) 1 (d) 0.8 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -6*u**3 - 15\/2*u**2 - 103 - 15*u. Let y(p) = p**2 + p + 1. Determine -r(n) - 15*y(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006730 to the power of 1\/2, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44670800 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y + 10. Let r(n) = -7*n - 1. Let f(g) = -8*g - 1. Let l(i) = 6*f(i) - 7*r(i). Suppose -3*a + 4 + 2 = 0. Calculate a*b(s) - 22*l(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 9. Give i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/6, 1943, 0.5, -24 in decreasing order.\nAnswer: 1943, 5, 0.5, 1\/6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.4 + 19.4. Let p = 2 + -1.9. Which is the closest to -1\/3? (a) 1\/5 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 15 = -q. Let d be (3 + -2)\/(q\/(-1)). Which is the nearest to d? (a) -0.5 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 96. Let s be v(-25). Solve -3*r = -s*z - 15, 4*z + 16 = 2*r + 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:50 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:01 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755 is divided by 582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3267\/(-594)*1\/(-22))\/((-39)\/(-3)).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaf when three letters picked without replacement from zffuufazfzauzazfuza?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t + 67*t - 2*f + 12 = -0*f, -192 = -91*t - f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4 - 4 - 3*u + u + 0*u + (-1 + 1 - 1)*(-2*u + 5*u - u) - 5*u + u + 2*u)*(16*u + u**2 - 16*u + (0 - u + 0)*(-3*u + 11*u - u)).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26188.4 to the nearest one hundred.\nAnswer: -26200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*w - 226, -4*o + 2*o + 5*w + 87 = 0. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 5 (c) 18 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/11)*u)\/(u*u\/(u*u**(-5\/4))*u)*(u\/u**(-4\/9))**16 assuming u is positive.\nAnswer: u**(8729\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3 and 14\/27013377?\nAnswer: 27013377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(45) + 5)**2.\nAnswer: -140 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*l**3 - 109*l**3 - 107*l**3 - 109*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -102?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-11)\/(0 - -165)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) + (-38)\/(-9). Suppose -16 = -t*d + 44. Let p(o) = 2*o + 24. What is the remainder when p(10) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-5) + 36983687\/65 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 0.441381.\nAnswer: 0.641381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:47 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2. Let j(i) = -i - 27944. What is j(h(b))?\nAnswer: -3*b**2 - 27944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6653 (base 7) in base 9?\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-407256)\/8604*(-6)\/(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46208885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -155.298, -1\/5, -1, -2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 971 + -1024 + 11 + 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2*l - l)*(-8 - 5*l**2 + 3*l - 20*l**2 + 24*l**2) to b*l + g*l**3 + s + a*l**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3817, -3813, -3807, -3799, -3789?\n\"Answer: t**2 + t - 3819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000284693 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24541 (base 8) to base 14.\nAnswer: -3c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 9*g - 14. Let j be r(-5). Find the second derivative of -23*p**4 - 5*p**4 - 17*p + j*p**4 - 2*p**4 wrt p.\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -139*s - 83. Let c(m) = -2*m. Determine i(c(k)).\nAnswer: 278*k - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 0*i + 18 = -s, 4234*s - 3 = -i + 4233*s - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*a - 236 - 999 - 185 = 0. Let v(n) = 2*n + 2. Let r be v(5). Solve a*d + r = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -30*p - 38*p + 12*p + 11 - 39*p. Let z(g) = -48*g + 5. Let u(i) = -2*h(i) + 5*z(i). What are the prime factors of u(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/7 - -16\/21. Let k be 3\/12 + (-92)\/240. Let l be ((-3)\/69)\/((-1)\/(-2)). What is the nearest to m in k, 3, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 268 = 6*p. Let n be 2\/17 + (-9600)\/102. Let o = n + p. Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 5 - -1) + -2. Let c(q) = 2*q - 2. Let f be c(i). Let s(d) = 3*d + 2. Determine s(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1518102 and 5346?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.286 - -0.714. What is the third smallest value in z, 18, -0.1, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1585947 and 21?\nAnswer: 1585926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2990701737, 2990701739, 2990701741, 2990701743, 2990701745, 2990701747?\nAnswer: 2990701749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.121?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*406\/319*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -59) + -28 - -39?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*s + 14 = 0, 5*s - 17 - 7 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100011010100000 (base 2) to base 11.\nAnswer: 57905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -5*j**7\/14 + j**4\/2 + 9*j. Find the third derivative of a(v) wrt v.\nAnswer: -900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -19. Suppose -3 = -4*p + 5*t, u*t + 7 = p + 5*t. Solve 5*h + 4*c = -10, -5*c - 27 = h - p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*o = 3835 + 6798 - 3461. Suppose 6*k = 2*k - 92. Are k and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/15 + 5*f**4\/12 + 4*f. Find the third derivative of m(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9038 + 4?\nAnswer: -9034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 849*p + 600. Give q(0).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and 0.335.\nAnswer: 0.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*x - 5330 = -13992 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(-1 - 3\/(-2)). Let x be 40 - ((-24)\/9 - 4\/n). Suppose 36 = -13*t - x. Let h(v) = -v - 7. What is h(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -4, 81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5+4265433566218\nAnswer: 4265433566213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w\/(w*w**9\/w)*w*w)\/w*w)*w*w*w**(-1\/10)*(w*(w\/(w*w*w\/(w\/(w*(w\/(w*w**1))\/w*w*w)*w)*w))\/w)**33 assuming w is positive.\nAnswer: w**(-561\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxxzbxbxzbbxxzb. What is prob of sequence zbz?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-46) - (-24309)\/(-327405)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 28*w - 29*w + 27551, -16537 = -3*g + w. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 69 = 38*n. What is the highest common divisor of 695 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102138780 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 + 85 = -p, 0 = -x + 4*p + 96. Factor 169*c + c**2 + 6 + 8 - 90*c - x*c.\nAnswer: (c - 7)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.669797 * -0.086.\nAnswer: 0.057602542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/4836 and -47\/142662?\nAnswer: 285324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -91, -81, -67, -49, -27, -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -15. Let h = -12.9 - -24. Let o = j + h. Put -3, -3\/10, o in decreasing order.\nAnswer: o, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10710 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*a - 71*a = -70*a + 12532 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 4*j - 26627, -m + j = 8875. Let c = 12788 + m. Factor p**2 + p - 3915 + c.\nAnswer: p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 338 - 335. Solve q + 6 = -2*g - a, 4*g = -q - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012010211 (base 4) in base 12?\nAnswer: -11a119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.015 + 94.815. Let z = f + -94. What is the second smallest value in -3\/7, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647 = -205*a + 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + w + 19 = 2*y, -3*y + 7 = 2*w. Suppose 5*p - c - 34 = 24, 2*p - 7 = -y*c. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - m + 34 = 0, 3*n - 6*m = -3*m + 3. Solve 0 = -2*j + 2*s - 3 - 9, -n*j = -4*s + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 17*h**3\/6 - 13*h**2\/2 - 4*h. Let d(b) = 8*b - 6. Let u = 16 + -12. Let s be (1 - u)*(0 + -2). Determine s*f(g) - 13*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 142711 and 0.066674?\nAnswer: 142710.933326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -6. Let k = a + 3. Let d = 3 + k. Are -2\/7 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 27 + 7. Let r be (-20)\/(-6)*12\/k. What is the third derivative of 2*n**3 - r*n**3 + n**2 + 7*n**3 + 6*n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1409 + -1402. Solve -6*a = -y + 7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - -3206)\/7 - -3. Suppose -n = -5*g + 253. Solve -g*t + 144*t + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let o = -16 - 9. Let z = o + 25.06. Is z greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978 a factor of 284571764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + -0.19?\nAnswer: -60.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 20*u - 12. Give p(-14).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.126712 to one dp.\nAnswer: -167.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/(-160)*10\/(-6). Suppose m - 5*o = 7, 5*m + o = -3*o + 6. Let r(v) = -v**3 + 11*v**2 - 10*v + 7. Let h be r(10). Solve h = m*y + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*3 + sqrt(5))**2 + 0.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 51 + 4 = 3*j, 0 = j + 3*g + 29. Let u = j + 25. What is the least common multiple of u and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080526410?\nAnswer: 2, 3, 5, 307, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -17362337 and -17362339 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4466, -8671, -12876, -17081, -21286?\nAnswer: -25491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143247 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 148 = -2*w, 21 + 236 = 3*b + 4*w. Suppose -4*a - b = -a + 5*o, 5*a = 2*o - 173. Let t be 2\/(12\/a)*-2. Is t at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -13. Let n = y + -63. Calculate the remainder when 119 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 19*f**2 - 872*f + 8121. Calculate w(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {n: 5, f: 4, y: 10}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 276?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006733 rounded to 5 decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6969370 is divided by 303016.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24728948*n**6 + 130*n**2 - 7007*n - 3 wrt n.\nAnswer: 2967473760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c = 5*o + 7, 28 = 2*o + 2*c + 3*c for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(1 - 7\/4). Let i = y + 4. Let u(w) = -w**2 - w. Let k(a) = 3*a**2 + 2*a - a**2 - 3*a - 4*a**2. Give i*k(f) - u(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2834 divide 448988137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**4 - s**4 - 2*s**4 + (2*s**2 + 2*s**2 - s**2)*(2*s**2 - s + s) in the form d*s + w*s**2 + v*s**4 + g*s**3 + m and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238726642*c**4 - 22575239*c**2 + 4*c wrt c?\nAnswer: 5729439408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 19 = -2*o. Let q = -23 - o. Is (-154)\/q - (-10)\/(-25) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3746 - -10612000.\nAnswer: 10615746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 73. What is the second derivative of 12*g + 14*g**x - 7*g**2 - 3*g**3 + 0 + 0 wrt g?\nAnswer: -18*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437.19 - -1.81. Let z = v - 438.809. What is z rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100110012121 - -10112100?\nAnswer: -100022200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 3458720 = 46*u. What is u rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by ((-18)\/1)\/(9\/(-12))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + c**2 - 12*c - 10*c**2 + 5*c**2.\nAnswer: -4*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7861 - 7853 + 31430 - 7857 + 3804*t - 7860 - 11990*t**3 wrt t?\nAnswer: -71940*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.98 and -5.\nAnswer: -124.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - q**2 - 1 + (3*q + q + 2*q)*(q - 4*q + 8*q) as v*q**2 + c + n*q and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301 * -0.35728.\nAnswer: 107.54128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = 6*x + 432 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -22*p. Let x(j) = j**2 + 4*j + 1. Let d(u) = 42*u**2 + 84*u + 21. Let n(s) = d(s) - 21*x(s). What is i(n(a))?\nAnswer: -462*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12313?\nAnswer: 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 u when three letters picked without replacement from {i: 1, b: 2, y: 5, o: 5, u: 1, v: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:45 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1063083, 2126154, 3189225, 4252296, 5315367, 6378438?\nAnswer: 7441509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 + g - 1. Let t be h(-3). Let j be t\/33 + (-1)\/3. Let f be 7\/(-21) + j\/3. Which is the nearest to 0? (a) 1 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 5*i + 26, 3*m + 150 + 89 = -12*m + 12*m - 71*i - 119 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420601 is divided by 1857.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.82 + -0.18. Let q be 284\/(-24) + (-2)\/12. Let k = 8 + q. Sort p, k, 0.4.\nAnswer: k, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 93508.\nAnswer: -112209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -1 (c) 0.3 (d) 2\/29 (e) 2 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4))**8*((x*x\/(x\/x**(-11))*x)\/x)**26)**23 assuming x is positive.\nAnswer: x**(-6716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2234494*n*t**2 + 713957*n*t + 3*n + 2*t**5 - t**2 wrt t.\nAnswer: -4468988*n + 40*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2413\/80 - -178\/5. Calculate the common denominator of 47\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 - -0.05. Let y = 343 + -343.67. Let m = y - i. Sort -2, 3\/2, m in ascending order.\nAnswer: -2, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160.135 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2529 - 19.\nAnswer: -18.7471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1154568, -2309138, -3463708?\nAnswer: -4618278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssn when three letters picked without replacement from {e: 2, j: 2, n: 1, s: 3, x: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 179. Find the third derivative of 4*r**2 - 109*r**6 + 13*r + 286*r**6 + 3*r**2 - 3*r**h wrt r.\nAnswer: 21240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4300034 + 0.43. Round q to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5968 = 4*w + 1010*q - 263*q, -9*q = 3*q - 14*q - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 - 24*l**4 - 32*l**3 + 8*l**2 + 36*l + 16.\nAnswer: -4*(l - 1)*(l + 1)**3*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-99) + 1\/(11\/64). Calculate the greatest common divisor of b and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5. Let b(h) = h**2 - 6. Let o(a) be the third derivative of -5*a**4\/24 - 19*a**3\/6 + 8*a**2. Let i be o(-5). Calculate i*l(u) + 5*b(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 26. Let f be 30 + 3*12\/p. Let s = 39 - f. Calculate the highest common divisor of s and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 4218.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000126626 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7389780, -7389782, -7389786, -7389792?\n\"Answer: -s**2 + s - 7389780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 109, 113?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -12 + 26 + (7 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*v - 93 - 872 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -9 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 7. Let o(j) = -9*j - 20. Suppose 0 = -k - 2, -k - 20 - 16 = 2*h. What is h*q(z) - 6*o(z)?\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose g = 5*x - 2 - 248. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(4*((sqrt(3)*-2 - sqrt(3)) + sqrt(3))) + sqrt(24)\/(-3*sqrt(24)\/sqrt(2)))**2 + -3.\nAnswer: -743\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*v**5 + 2*l*v**4 + 92*l*v**2 - 2*l*v - 52*v**3 + 4*v**2 wrt v.\nAnswer: -60*l*v**2 + 48*l*v - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459061003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, -375, -1359, -2343?\nAnswer: -3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6133450833 + 677.3865783167. Let q = o + -678. Round q to 6 decimal places.\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019 times -1?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + (-800)\/(-30))*-213 + -8.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2084 and 3337526.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 2114 = -206. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 0.2. Let z = -5.2 + 1.2. What is the second smallest value in k, 3, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 19*x - 14. Let a be d(13). Let w = -384 - a. Let u = 529 + w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 - 5. Suppose 6 = 2*h + w*z, -2*z = -h - 4*z. What is the smallest common multiple of 11 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 56*p - 5. Is l(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 2?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 288 - 92. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1205820 and 21584178.\nAnswer: 215841780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**2 + 2*b. Suppose 0 = -6*o + 35 - 5. Let f(u) = 7*u - o*u - 9 + 9. Give m(f(t)).\nAnswer: -24*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssosoos?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*r - 115 = 0, -4*r + 25 = 2*t + r. Which is the closest to -0.2? (a) 3 (b) -3\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgqkqey. What is prob of picking 1 q, 1 y, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700))*-6)**2 + sqrt(700).\nAnswer: 10*sqrt(7) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/60 - 3*l**5\/40 - 4*l**3\/3 - 8*l. Let r(k) be the second derivative of u(k). Find the second derivative of r(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Suppose c = 3*t + 5, 2*t + 0*t - 15 = -3*c. Let s = t - 1. Is s != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -51*m + 21. Let n(a) = 5*a - 2. Let k(r) = -21*n(r) - 2*p(r). Let v be k(-6). What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*1*(-3)\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-68)\/8)\/(78\/(-12)). Is y less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7555\/28 + 1077\/4. What is the common denominator of (-2)\/((-18)\/89) + -3 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i + 4*f - 19, -2*i + f + 18 = 0. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57339567 is divided by 836?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/14*16\/(-3). Let f be (-11)\/((-352)\/(-368)) - -10. Let s = 632\/6783 - -2\/969. What is the second biggest value in s, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1416162?\nAnswer: -1416164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15307?\nAnswer: 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 44*r + 514 - 138 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2158 (b) 41 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8888 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -154\/57?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = -2. Let b be (-8)\/32 - h\/8. Solve -4*z - 6 - 6 = b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 54*x + 567 = 0?\nAnswer: -63, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14995, -30098, -45265, -60526, -75911, -91450, -107173, -123110?\nAnswer: -139291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let v = n + -2. Suppose -4*o - 4*d = -v*d - 108, -4*o - 3*d + 109 = 0. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 73*v + 117. Let o be u(-7). Which is bigger: -397 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/891 and -32\/1485?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l**3 - 15*l**2 + 3*l + 2. Let d(z) = 6*z**3 + 8*z**2 - 2*z - 1. Let k(p) = 7*d(p) + 4*x(p). Let o(j) = -j**2 - 2. Let w be o(0). What is k(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/2 - 9*i**3\/2 + 6*i.\nAnswer: 3*i*(i - 2)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:50 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -6.5?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -16. Suppose -f*w - 4*d + 14 = 0, 7 + 1 = 2*w + d. Solve 4*q - 35 = -w*j, 5 = -4*j - 2*q + 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 11. Let h be w(5). Let i be 6\/(-11) + (-54)\/22. Put h, i, 5 in decreasing order.\nAnswer: 5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70945 + -70945.5. Let i be 0 - -2 - (-4)\/(-1). Sort a, i, -57 in ascending order.\nAnswer: -57, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698 is divided by 1664?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**8\/n)\/n)*n**(-4\/7))\/((n**(-7\/2)*n)\/n**(-9)) assuming n is positive.\nAnswer: n**(-169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170 + -87. Let i = g + -83.00000002. Round i to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/142*-2*(-4)\/5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 439774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153.3 - 153. What is the closest to -3\/2 in a, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 - 132084*j**3 + 528399*j**2 + 660480*j = 0.\nAnswer: -44032, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 5, j: 1, o: 2, y: 2, b: 2}. What is prob of picking 1 o and 1 r?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let s be (-3)\/5*(70\/15 + -4). Put o, s, 0.1 in decreasing order.\nAnswer: o, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -3 + (41 - 2). Let a = q - -366. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2131*u**2 + 2073*u**2 + 678*u**2 - 1019*u**2.\nAnswer: 3863*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b + 621419 - 621419.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*6*(-1 + sqrt(288) + 5)**2.\nAnswer: -65664 - 20736*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -455362*n. Let a(z) = -4*z. What is p(a(m))?\nAnswer: 1821448*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 400, -1, -4, 0.5, 0.2 in ascending order.\nAnswer: -4, -1, 0.2, 0.5, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c - 120 + 259 = -890. Calculate the remainder when 309 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 6*z**2 - 9*z + 1. Let m be (1374\/198 + -7)*3 - (-285)\/55. Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 - 25338*a**2 - 304272*a - 913032 = 0. Calculate a.\nAnswer: -6, 12681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/5 (c) -2180.033 (d) -5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(sqrt(432) + -3) + 0 + (-1 + sqrt(432) + sqrt(432) + 1 + 5)*2)**2.\nAnswer: -864*sqrt(3) + 35008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*f + 26. What is the remainder when (f\/24)\/(6\/(-1032)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 20*d + 17. Determine q(18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 - -320.2. Round d to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + (-287)\/(-42))*-2*2. What is the second smallest value in 0.3, 39, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4504, -4484, -4452, -4402, -4328, -4224?\nAnswer: -4084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxexx. What is prob of picking 1 e and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 1, m: 1, b: 2, p: 1}. What is prob of picking 1 m and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -475, 1\/8, 0.3 in descending order.\nAnswer: 1, 0.3, 1\/8, -1, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25540103 (base 6) to base 9\nAnswer: 1515443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/11 + 620*o**3\/11 - 95478*o**2\/11 - 192820*o\/11 - 96721\/11 = 0. What is o?\nAnswer: -1, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -7*q**6\/30 - 17*q**5\/5 - 22*q**4\/3 - 28*q + 2. Find the third derivative of i(o) wrt o.\nAnswer: -168*o - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 7. Let f(t) = t**3 + 4*t**2 + 2*t + 2. Let v be f(i). Let l(g) = -v*g**2 + 3*g**2 + 35 - 35. Let r(q) = 4*q**2. What is r(l(o))?\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**7\/168 + 7*m**4\/24 + 2*m**3\/3 - 6. Let o(g) be the third derivative of z(g). Differentiate o(b) wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 13 - 7. Suppose 0 = 2*i + 5*l - 67, -4*i - 5*l + 139 = -0*l. Suppose i = n*u - u. Which is bigger: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126799 divided by 5513\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132 + 5 + 4*g**3 - 3*g**3 to v*g**2 + x*g**3 + i*g + a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 121 = 1. Suppose -s + 4*c = -9747, -i*c = -3*s - 3*c + 29281. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000238686 to seven dps.\nAnswer: 0.0000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -1 + sqrt(17))**2 - (sqrt(170)\/sqrt(160) - 3*sqrt(68)\/sqrt(4)) - (-2*sqrt(816))\/(sqrt(36)\/(sqrt(60)\/sqrt(5))).\nAnswer: -108 + 91*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by -372.\nAnswer: 77\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = -6*y. Let o = 9 - 14. Let d be (35\/y)\/(o\/10). Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 2048.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5.7. Let j = 11.2 - 10.2. Put b, j, -0.02 in ascending order.\nAnswer: -0.02, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 50 (b) -1\/861 (c) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/6 + 4491*b + 26940 = 0.\nAnswer: -26940, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 54010 and 54012 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*v - 560, 4*v + 4*h = h + 445. Is v a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23836 + -23836.3. What is the nearest to 1 in s, -1.8, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 10*y**2 - 9*y**2 - y. Let r(l) = -2*l. Let j(v) = 6*v. Let i(g) = 5*j(g) + 14*r(g). Give a(i(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11265056.\nAnswer: 2, 11, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 128*c - 81. What is the smallest common multiple of r(42) and 1494?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17621.\nAnswer: 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - (-3)\/9. Suppose 17*l - 29*l = -48. Sort -7, 5, l, w in decreasing order.\nAnswer: 5, l, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 - 92 = -53*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - -3*sqrt(605)*2 - 1*(sqrt(605) - (sqrt(605) - 2*sqrt(605)))**2) + (5*(sqrt(605) - (sqrt(605) + -2)) - ((sqrt(605) + 0)*3)**2))*4.\nAnswer: -31420 + 308*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-28)*120\/50*(-3)\/6\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) -22 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17245, 17223, 17201, 17179, 17157, 17135?\n\"Answer: -22*l + 17267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 1. Let v be f(1). Let h be 1 - (-18 + 6 + v). Calculate the greatest common divisor of 176 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2199 - 9021 - 6408 - 14 - 6277)*(4*g - 4*g + g).\nAnswer: -19521*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -17. Let h be 39\/18 - 3\/m. Solve 3 - h = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -497, -1349, -2603, -4259, -6317, -8777?\nAnswer: -11639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2196.6285 - 3.8815. Let k = z - -2410. Let a = k - 211. What is a rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 11*i**2 - 27*i - 9. Give r(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/7187 - 366493\/158114. What is the common denominator of (15\/70)\/(6\/(-38)) and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5838 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1719 and -28\/688173.\nAnswer: 2064519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 220575037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.7035 times 118613\nAnswer: -83444.2455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1288, -2650, -4036, -5458, -6928, -8458, -10060, -11746?\n\"Answer: -2*v**3 - 1348*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*r + 2095 = 2115, 107*g - 5*r = 105*g + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/33 + 10\/(-6). Is 3.2 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -5720, -12741, -22568?\nAnswer: -35201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3*n**2 - 41*g**3 - 41*g*n + 5939*n**2 wrt g?\nAnswer: -3*g**2*n**2 - 123*g**2 - 41*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/4 + 31*c**4\/4 - 239*c**3\/4 + 641*c**2\/4 - 171*c + 63 = 0 for c.\nAnswer: 1, 2, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -353.1.\nAnswer: 105.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, r: 2, a: 1}. What is prob of sequence pa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-2)\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1775 = q, 7*q - 3515 = 5*q - 3*w. What are the prime factors of q?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 2\/11, 125\/11 in descending order.\nAnswer: 125\/11, 2\/11, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -6 + 0*r + 1\/5*r**5 - r**2 + 1\/8*r**4 - 4\/3*r**3. Factor p(q).\nAnswer: q*(q - 2)*(q + 2)*(2*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -433 - -435. Let s = 3 - 2.7. What is the nearest to 3 in -0.4, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(500)*6 - sqrt(500)) + 2)**2 + (sqrt(500) - (sqrt(500) + 1 + sqrt(500) + 0)) + ((-1 + sqrt(500))**2 + sqrt(500))*2.\nAnswer: 170*sqrt(5) + 13505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-4)\/(-18) + (-748)\/(-198)). Suppose -11*y + 8*y + 8709 = p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.14. Let k = -0.0600128 - w. What is k rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*v**3 - 125*l*v**2 - l*v - 543*l + 54*v**2 - 2 wrt v?\nAnswer: -12*l*v - 250*l + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let q(v) = -v**2. Let g(z) = 2*i(z) + 6*q(z). Let l(r) be the first derivative of -120*r**2 - 13 - 112*r**2 + 226*r**2. Give g(l(h)).\nAnswer: -288*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1652552 divided by 6.\nAnswer: -826276\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378300931.\nAnswer: 7, 241, 817013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 - 4*l**2 + 3*l**2 + 6*l**3.\nAnswer: 13*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 62*w**2 - 72*w - 244. Let l be b(-32). Sort -32, -1, l, -4, 1 in ascending order.\nAnswer: -32, -4, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3564 - 876 = -501*d + 117*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let b = 185 - -1075. Let i(t) = 1260*t - b*t - 5*t**2 + 3. Give i(m(s)).\nAnswer: -5*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c - 5*c**3 - c + 11*c**3 + 4*c**3 wrt c.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2704 and 47\/18304.\nAnswer: 237952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 817124 or -0.026?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*b**2 - 3*b**3 + 1049*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 - 2*v + 2813*v**2 - 4 - 2821*v**2 - 8*v = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, 0, -0.97, 2\/13, -0.08?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288 + 291. Differentiate -81 + 9*h**3 - 70 + 0*h**t + 14 + 2*h**4 wrt h.\nAnswer: 8*h**3 + 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48038 = -53*x + 446704. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1144, -3, -5 in increasing order.\nAnswer: -1144, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 581 - 582. What is the tens digit of 973 - (-5 - -7)*z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o = 50*o - 2*v + 44, -23*o + 12*o = -2*v + 140 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10223331 (base 5) in base 7?\nAnswer: 505665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 25*r - 13 - 3*r**2 + 1 - 3*r**2 - 12*r + 14*r**3 + 23*r. List the prime factors of p(5).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -34*b - 30. Let m be r(-4). Suppose -m*w = -103*w - 3. What is the remainder when 23 is divided by (41 - 54)\/((-2)\/(w*2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s. Let j(z) = -19*z**2 + 2*z + 7. Let o(i) = -10*i**2 + i + 4. Let t(h) = -4*j(h) + 7*o(h). Calculate -4*g(a) + t(a).\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13292761 and 343311.\nAnswer: 6023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/89 (b) 40 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 827216 and 10318880?\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 3*h**3 + 2*h**3 + (-2 - 1 + 5)*(-3 + h**3 + 3) - 2*h**3 + 0*h**3 + 3*h**3 + 0*h**3 + 3*h**3 - 4*h**3 + (-1 + 1 - h**3)*(-4 + 2 + 3).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/76164 and 2\/6347.\nAnswer: 76164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-21))\/((-2)\/(-7)). Suppose -9*n + v + 14 = 0. What is the least common multiple of n and 6 - (-2)\/(-3)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1257 - 1226. Calculate the highest common divisor of 961 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/13 (b) -0.6 (c) -4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-8 + (-324)\/(-38)). Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 - 2*l**2 - 1\/150*l**5 - 1\/175*l**7 + 1\/100*l**6 + 1\/840*l**8 + 0*l**4 + 0*l + 0*l**3. Determine b, given that m(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 190105*y = 190107*y - 10, -2*x + 5*y - 34 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(684))**2*-6 + 2 - ((1 + sqrt(684))**2 + 1 + 0)) + 3.\nAnswer: -37617 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*a**3 + 7*a**2 + 7*a wrt a.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5342318 divided by -5\nAnswer: 5342318\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 11. Let z be f(9). Let h(r) = 6 + 2*r - r**2 + r - 3. What is h(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*t**2 + 16*t**5 + 14*t**2 - 10*t**2 wrt t.\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6.7. Let s = -0.4 + x. Is s < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dis when three letters picked without replacement from {d: 7, i: 1, s: 5}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*k = -2*j - 6, 0 = -5*j - 2*k + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + 229 - -30 - 148.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b - 5*t = -75, 0 = -4*b + 4*t + 36. Let y = 17 + b. Suppose -21 = -5*w + y. Solve 4*c + c = -w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 212014240?\nAnswer: -212014234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 106*n**2. Let d(w) = -639*w. Give f(d(r)).\nAnswer: 43282026*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by -5.\nAnswer: 244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 711, 832, 807, 636, 319?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3432 or -2\/5?\nAnswer: 3432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 6850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 7 + 0 + 3 + 1. What is the units digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (4 + -3 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 156435 - 78273. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 278.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*g + 54. Let w = 15 - g. Suppose -3*r + 2*u + 3*u + 212 = 0, w*r - 202 = -5*u. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/36 and 71\/4638.\nAnswer: 27828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 116. Let v = z + -54. Suppose -56 + 4136 = v*i. Is 34 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15777+-413551\nAnswer: -397774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 13) + (-25 - -23) - (-53 + 2) - 6\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**3 + 7*j**2 + 13*j - 17. Let d(n) = -7*n**3 + 4*n**2 + 7*n - 9. Let r(m) = 11*d(m) - 6*g(m). Let b(p) = -3*p**2. Let x be b(-1). Give r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*j - 43. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/17, -0.2, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, -0.2, 184602 in descending order.\nAnswer: 184602, -0.2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25906 - 52625 = 23*p - 26190 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1750 + -21043\/12. What is the common denominator of 2 - (-3)\/(-1) - 85\/16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(22)*-1 - sqrt(22))*-2)\/((sqrt(176) + sqrt(176)*2)*-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 11 - 3)*(-1 - 2 + 2)*(2*t**3 + 3 - 3).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 10*u - 6. Let p(b) = -4*b**2 + 11*b + 7. Calculate -5*p(g) - 6*r(g).\nAnswer: -4*g**2 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33230233 + 20?\nAnswer: -33230213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4) + 1*3. Suppose 0 = q + 4*v - 26, 4*v = -s*q + v + 96. Let j be q\/(-81) + (-1714)\/(-18). What is the highest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:01 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let v(u) = -u**3 + 4*u**2 + 5*u + 3. Let k be v(5). Suppose 3*p = k*h + 15, -p = -h + p - 5. What is the nearest to -1 in m, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j**2 - 3*j + 2. Let n = -7 - -10. What is the remainder when m(n) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81\/7 - 317\/28. Let m = -3.06 + 0.06. What is the smallest value in m, -0.2, -0.5, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3) + 15\/5. Let j be (-2)\/l - (-20)\/8. Solve n = -1 + j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnmvvvnpwvnnv. Give prob of picking 1 p and 1 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 35*a - 29. Let k(g) = -2*g**2 + 9*g + 4. Let x be k(6). Is i(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 9. Let o be c(-17). List the prime factors of 19\/4 + o\/(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, x: 5, q: 3}. Give prob of picking 1 q and 3 x.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -1, -67670?\nAnswer: -67670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y + 4*d + 14 + 6, -21*d + 40 + 55 = -2*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -14. Suppose -o - 3*f + 18 = 7, 5*f - w = -o. Suppose 0 = 4*t - o*u + 6, 5*t - 2*t - 6 = 5*u. Sort 1, -5, t.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, l: 2, v: 2, t: 3, e: 2}. Give prob of sequence tvvu.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -121, -111, -97, -79, -57, -31?\n\"Answer: 2*h**2 + 4*h - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 + 10 = 0. Let d be i*(-2)\/(-12)*(-18)\/28. Sort d, 1\/6, -4.\nAnswer: -4, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21195 + 21192. Which is the closest to -0.1? (a) 0.4 (b) r (c) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 53075 = -2*y, -13*p - 4 = -17*p. What is the greatest common divisor of y and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = 2. Let k be 0\/g - (15 + -2). Which is smaller: -12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*o + 27 + 13 = 0, -5*o - 25 = 0. Let x be -1 + 2 - l\/(-15). Let s = 0.0508 + -6.0508. Which is the nearest to 1? (a) s (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372 - -357. Which is the nearest to -7\/2? (a) 2 (b) w (c) -2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15296329, 30592660, 45889005, 61185370, 76481761?\nAnswer: 91778184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1872, -1419, -686, 327, 1620, 3193?\nAnswer: 5046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 2}. What is prob of sequence njj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 10. Let c(z) = -z + 11. Let t(q) = -2*c(q) - 3*w(q). Suppose 0*v - 4*v + 56 = 4*y, 0 = -4*v + 4. Let n be t(y). Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*z + 1726*z + 327*z - 2410 + 2408 in the form b*z + v and give b.\nAnswer: 1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 - 1039733 - 2546*n**2 + 1039733 in the form q + h*n**3 + c*n**2 + z*n and give c.\nAnswer: -2546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z**(1\/10))**(-37) assuming z is positive.\nAnswer: z**(-703\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5649, 5, 1, 34 in ascending order.\nAnswer: 1, 5, 34, 5649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -17. Let c(p) = -p + 8. Let b be c(n). Solve -2*o - b - 5 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**2)*y))**(-33)*(y*y**12\/y)**(-10\/9))**(-1\/3) assuming y is positive.\nAnswer: y**(-158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*u - 16. Suppose 0 = 2*m - 4*g - 12, -4*m + u*g + 16 + 2 = 0. Suppose 13*s + 126 = m*s. Which is bigger: -16 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42930 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9288, -7708, -6128?\n\"Answer: 1580*n - 10868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 22*x - 45. Let j be u(-16). Suppose 205833 + 213336 = j*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**3 - 5 - 14*u**4 + u**3 + 117 - 7*u**4 wrt u.\nAnswer: -84*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(-3)*8. Suppose -4*w = -m*r - 0*w + 400, -4*r + 397 = -5*w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/14*(-93)\/(-6) and ((28\/16)\/(-7))\/(4\/102).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716847001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2533\/9 - -283. Let y = -110 + 260. Find the common denominator of (-1)\/(y\/(-69) + 2) and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209044, 209202, 209360?\nAnswer: 209518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/22 and 161\/46*(-9)\/7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 29 = 2*f - 5*s, 3*s - 3 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.9? (a) 5 (b) -1.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36276 + 96823. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1582 divided by -113.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 3 - 9. Let k be (8*14 - b) + -1. Suppose 3*s - 3*v - 165 = 0, -3*s + 4*v - k = -277. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 21*x = -755. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102998261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 450. Let o be 1*3088\/(-10)*l\/12. What is o rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -436, -240 in descending order.\nAnswer: 3, -240, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24561023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -180505\/7 = -409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2 - -4)*6. Let i be 1\/(y\/(-4))*-21. Suppose i - 2 = 3*z + 3*w, 3*z = -4*w + 8. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39664 (base 11) to base 6.\nAnswer: 1114254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2 - 4788004*l + 2865622788002 = 0.\nAnswer: 1197001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.348 - -0.39. What is the nearest to 0.1 in t, -4, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*p + 19*y + 12 + 12 = -58*p - 16, 3*p + 4*y + 185 = 0 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 158 = 5*y - 29046. Is 2085 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*z**3 - 8\/13*z**2 - 14\/13*z + 20\/13 = 0. What is z?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 4*z**2 + 3*z + 4. Let v be n(3). Calculate the highest common factor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-2)\/(-1)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c0 + 68?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:50 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79, -206, -381, -610, -899, -1254?\n\"Answer: -f**3 - 18*f**2 - 66*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -3 + 2)*75. Suppose 4*l - 97 = 35. Let n = l - 18. Calculate the highest common divisor of a and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18293 - 18290. Let g = 4 - 15\/4. What is the nearest to -1\/4 in g, -2, p, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -169, -229, -301, -391, -505, -649, -829?\n\"Answer: -q**3 - 53*q - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -938 > -941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:11 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42331 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 6\/58084189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1155845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -155 + 32*q + 0*q**2 - 15*q**2 + 110 + 8*q. Let c(a) = -8*a**2 + 20*a - 23. Let b(g) = -5*c(g) + 3*d(g). Find k such that b(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:00 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 50 + 78. Suppose -c = q - 237. What are the prime factors of q?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -105, -5, -2, -2388 in ascending order.\nAnswer: -2388, -105, -22, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3521 * -0.2\nAnswer: 704.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (7 + -25 - -27) + 14?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80664219 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20\/27 - -41\/54. Let u(y) be the second derivative of f*y**2 + 15\/2*y**4 + 0 - 11\/2*y**3 + 8*y. Factor u(x).\nAnswer: 3*(5*x - 1)*(6*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18531.333 months?\nAnswer: 1.54427775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020030 (base 5) in base 11?\nAnswer: 2247a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -282 and 3.4.\nAnswer: -958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -304*f**2 + 56*f + 56. Let w(b) = 16*b**2 - 3*b - 3. Calculate 3*g(v) + 56*w(v).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*r + (-r - 1 + 1)*(-5 - 1 + 4) + 5*r - 5*r - 2*r)*(1320*r**2 - 963*r**2 - 1027*r**2) + (r - 5*r + 5*r)*(5*r**2 - 149 + 149).\nAnswer: -1335*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 45*n**4 + 130*n**3 - 90*n**2 - 135*n + 135.\nAnswer: 5*(n - 3)**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -3\/8 (c) -4\/7 (d) -38\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-14 - -5) + 7) - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(77) + -6*2*sqrt(77))*-5)\/(sqrt(448) + 4*(sqrt(448) - sqrt(448)*2)))**2*-3.\nAnswer: 33275\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 14 = 13*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let l be (-128)\/(-22) + f\/(-11). Solve -5*o - 3*g = 17, -l = -3*o + 3*g + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ippy when four letters picked without replacement from {h: 1, i: 2, l: 1, p: 2, y: 3, m: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 2*z**2 + 5*z - 6. Let d be g(-4). What is the tens digit of (d\/4)\/(3\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28527 and 33924?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002513543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 1\/4*i**4 + 0 + 8*i + 0*i**3 + 7\/2*i**2. Differentiate z(m) with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 l when three letters picked without replacement from {y: 2, e: 1, m: 2, l: 4, o: 2, v: 4}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 5*v. Let u be s(5). Suppose 0 = 5*q - 2*g - 53, u + 9 = q - 2*g. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 2*p + 2 + (0 + 1 + 1)*(p + 0*p + p) + p - p + 2*p - 4*p + 2*p + p to w*p + t and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*d*g**4 - 17*d*g*u**2 - d*g*u + 39*d - 2*g**4*u**2 - 51*g**4 - 2*g**2*u wrt g?\nAnswer: 1104*d*g - 48*g*u**2 - 1224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58752 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-2)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5950 and -39\/5950.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 4\/5 (b) -0.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57889057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1760*j**2. Let n(i) = i. Calculate n(f(c)).\nAnswer: -1760*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357245.\nAnswer: 5, 7, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxggwgngggwwgnfngc. What is prob of sequence ggxc?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8576 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -99. Let v = y + -104. Is v at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -11) + 7 + (2 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -53. Suppose 2*k - k + 12 = 0. Let j be 1 - 2\/k*-2. Which is the closest to 1? (a) j (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -279 (b) -0.2 (c) -0.4 (d) 0.5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 7 = 9*b. Suppose 6*s + b*s - 2*s = 0. Solve s = 3*l - 6 + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - (-8 + -57)) + (11 - -1 - -1) - -69?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or 61?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 771113 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20916848653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 66 = -4*z. Let b be (1 - 0) + z\/18. Suppose j - 5 = 3*t, j = 4*t - j + 10. Is b less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*q**3 + 118*q**3 + 745*q**3.\nAnswer: 1292*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 91 + -40 + 15?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267987*f + 88 = 3*d - 267955*f, -d - 4*f = -16 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 + 782914*g**2\/3 + 6263456*g + 37581024.\nAnswer: -(g - 782938)*(g + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 10. Let j(d) = -9*d - 471. Let a(y) = 4*y + 195. Let m(v) = 12*a(v) + 5*j(v). Calculate 5*m(i) + 8*z(i).\nAnswer: -i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -165, -143, -95, -15?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.5 less than 5698.2?\nAnswer: 5470.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-120) - -3*(-12)\/180. What is the nearest to 21 in j, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 5*z + 78*z + 172*z - z - 18*z + 234 - 10*z**2.\nAnswer: -2*(z - 9)*(z + 1)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 115. Let r = -1289\/9 + m. Let n be 3\/(-3) - (-14)\/10. Is r less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 - -107.8. Let i = u - -0.2. Let j = i + -12. Which is bigger: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -185 - 239. Let x = 383 - y. What are the prime factors of x?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2351 + -875. Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) + 6*(sqrt(6) - sqrt(18)\/sqrt(3)) + sqrt(6)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 9*q**3 - 2*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:35 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/16 + (-1)\/(-4). Solve u*o - 3 = -p - 5, 8 = 5*o - 4*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let i(p) = -4131*p. What is b(i(f))?\nAnswer: -34130322*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggygggygggygggggg. What is prob of picking 3 g?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 16, 3, -36, -113, -240?\n\"Answer: -2*a**3 + 5*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/((-2)\/(-44)). Let s = -6 - y. Suppose s*g = 4*q + 70, 2*g = 7*g + 4*q - 70. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4*z + 3*z**2 - z**2 + 6*z**2 - 3*z**2 + (-3 - 2*z**2 + 3)*(-2 + 0 + 5))*(1 + 2 - 1).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-1)\/((-8)\/9 + 1). What is the units digit of (r + 0)*6\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*p + 3906 = -1024*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 408 = -3*p + q, 5*p + 4*q = 510. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-10)\/(-60)*-2*(-4)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 - -323. Suppose s - 12*s = 616. Let i = -56 - s. Sort t, 4, i in increasing order.\nAnswer: i, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1353 = 8*l + 3*l. Suppose k - 439 = 5*c - l, 0 = -4*c + 20. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.2, -107.1, 4, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/11 (c) 0.4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = t + 24, 16*t - 17*t - 20 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 - 11*b + 11. Let o be i(-7). Let y = o - 181. Solve z - 4*z = -5*m - 28, 0 = 5*z - y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(19) - (2 + sqrt(1900)))**2.\nAnswer: -90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4 + 6.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**2 - f + 7. Let m(h) = -27*h**2 - 3*h + 13. Let i(x) = 5*k(x) - 2*m(x). Let n be i(3). Sort -31, n, 2 in increasing order.\nAnswer: -31, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -36 - ((69 - -4) + -23).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**2 + 6*b + 6. Let i(s) = 5*s + 2*s**2 - 9*s**2 + 3 + 2. Let c be 6\/(-9) + (-26)\/6. Let k = 43 + -37. What is c*d(l) + k*i(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcclccvclvvrlcvccvl. What is prob of picking 1 c, 1 r, and 1 l?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -652\/17, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u + 313 = 3*n, 2*u = 10. Let k = n - 104. Solve -k - 2 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(110)\/sqrt(176)))**2 + 4*(sqrt(208)\/sqrt(4) - sqrt(52)).\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 608307 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljljll. What is prob of sequence jll?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 15. Calculate the least common multiple of 4 - (-3 - -10)\/(-1) and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(-2*q**4 - 2*q**4 + 2*q**4) + 3*q**4 - 3*q**4 - 5*q**4 + (-2*q**3 + 4*q**3 + 0*q**3)*(2*q - 30*q - 5*q).\nAnswer: -67*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 50 + 10. Is 2 a factor of (10\/(-25))\/((-3)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 86*g\/5 - 176\/5.\nAnswer: (g - 2)*(g + 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.631 - 14.671. What is w rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034312 (base 7) to base 12.\nAnswer: 61178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 - 8) + -4 + 3 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let m(p) = -20512281*p**2. What is m(d(u))?\nAnswer: -20512281*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(-1353 - -7). Suppose f = 974 + 382. Let z = f + y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.480554 nanoseconds to seconds.\nAnswer: 0.000000000480554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*b = 327876 - 288041 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 11*a - 424. Let b = 93 + a. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qluuqbquutuqe. What is prob of sequence ltuu?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 19290153091721?\nAnswer: 19290153091721.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 110 - (2 + -2 - (29 + -29)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*c = 33, -j = j + 4*c - 12. What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 - 3*s - 5. Let r be l(-5). Suppose r = 4*k - 142. Suppose 4*f - 4*o - k = o, -5*f = 3*o - 110. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*k - 167287 + 64056 = 85333 for k.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/((-6)\/(-2532)). Suppose l - g = -4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*w = 2*w + 17, 1239*b - 1245*b + 4*w - 26 = 2*w - 0*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(5*w - 3*w - w) - 13*w + 18*w - 11*w to c*w + x and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2274 - -5429. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-28) - 9770\/56. Let t = 174 + g. Solve 4\/7*y - 2\/7*y**2 + t*y**5 + 0 + 2\/7*y**4 - 6\/7*y**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.22, 4\/3, 4, -0.1173?\nAnswer: -0.1173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477413130.\nAnswer: 2, 5, 1289, 114617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/258*21\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155 and -124383.\nAnswer: -19279365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 39. Suppose s = -2*i + 5, 0 = i + 3*s - b - 4. Solve -i = -j + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 + -6. Let y = -0.63 - 0.42. Let a = 0.05 + y. What is the smallest value in c, 0.07, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from knckkkcscs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.49 + 26781100.524.\nAnswer: 26781084.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, m: 1, f: 7, i: 3, n: 1}. Give prob of picking 1 g and 1 n.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 1 - 1 + ((6 - 3*q - 6)*(3 + 0 - 4) + 0 + 2*q + 0)*(-q**2 + 0*q**2 - q**2)*(382*q**2 + 431*q - 431*q).\nAnswer: -3821*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -13010, -5, 2, -23\/4 in increasing order.\nAnswer: -13010, -23\/4, -5, 0.17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (3*sqrt(162) + sqrt(162) + -1 - sqrt(162)) + sqrt(162))*-5)**2*4.\nAnswer: -43200*sqrt(2) + 262800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*y + 613*y - 1134 = 0 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 0.184529562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 316\/(-2)*(-5)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let a(x) = -x**3 + 3*x**2 + 4*x - 4. What is the least common multiple of a(i) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 84*j**2 - 76*j - 4415. What is v(-42)?\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39850 by -2.\nAnswer: 19925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 59857?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 19 - (-76 + 69) - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38164 divided by -9541\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 - 3*v**2 + v**3 + 5*v**2)*(v - 2*v + 4*v) in the form w*v**4 + y*v**3 + a*v + b + h*v**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210434 = 43*z - 208284 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/264 + 46\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -10311?\nAnswer: -10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 451 + -304. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -80 - 28 + 4 - 107*o. Let r be w(-1). Factor -12\/7*y**2 + 0 + 18\/7*y + 2\/7*y**r.\nAnswer: 2*y*(y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 22*y**3 + 70*y**2 + 50*y.\nAnswer: 2*y*(y + 1)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 24800\/22 - -2 - 21\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21711.0974 - 21709. Let m = o - 2.1. What is m rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/3, -5, 0.4, -5\/4 in descending order.\nAnswer: 2\/3, 0.4, -2\/7, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.441, -3, 1\/3, 0.2 in decreasing order.\nAnswer: 0.441, 1\/3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d - 0. Let h = 1.3 - -2.5. Let y = h + -3.7. Which is the nearest to y? (a) 1 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6\/11)*q\/q**(-5\/8))\/(q\/(q*((q**37\/q)\/q*q)\/q)*q\/(q\/(q\/q**(-7\/11)))))**(1\/47) assuming q is positive.\nAnswer: q**(3031\/4136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.011, -0.1, -2, -0.2 in increasing order.\nAnswer: -2, -0.2, -0.1, -0.011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22301313 (base 4) to base 15.\nAnswer: d136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:58 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1075397, 1075287, 1075177?\n\"Answer: -110*y + 1075507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14897 + -14513. Calculate the remainder when y is divided by 64.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7957.09 rounded to the nearest 10?\nAnswer: -7960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 73. Let s = x + 392. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g*g*g*g)**8*g**(2\/9)*g**(7\/3) assuming g is positive.\nAnswer: g**(329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (39\/(-15))\/(-2*2\/(-4)). Suppose 3*w + 0*n = n - 2, 12 = -4*w - n. Which is the closest to w? (a) 2\/13 (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2 + 1. Let v be s(1). Let j(l) = 8*l - 5. Let d be 0\/1 - 2\/2. Let c(i) be the first derivative of -i**2\/2 + i + 1204. Give d*j(f) + v*c(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 54. Suppose -78*i - 27122 = 1972. Let o = -745\/2 - i. Put o, -1\/7, z in descending order.\nAnswer: o, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 1633*g + 53239. Calculate p(34).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:29 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -27*n - 21 + 44 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21421a (base 15) to base 9\nAnswer: 2872847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-30))\/(1\/15). Let l be ((-4)\/10*-5 + -3)*-20. Solve -l = v*k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 459 + -444. What is the highest common factor of y and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6984 by 4.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 303880 = 20*j. Suppose -4*z + 0*z + 42280 = 0. Let t = z - j. Round t to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suua when four letters picked without replacement from quuqauassau.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 4184?\nAnswer: 20920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35483155 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 188 and -0.092297.\nAnswer: -17.351836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4846724 + -0.3?\nAnswer: 4846723.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, c: 2, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**3 - 3*g - 3. Let u(t) = -2751*t - 11*t**3 + 5504*t - 2749*t + 4. Determine -3*u(i) - 4*z(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.757 - -1.757. Which is smaller: g or -420?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -155, -260, -391, -554, -755, -1000?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from qqddqqqdqddqqqdqqqq.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1709 divided by 1636\nAnswer: 1709\/1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/7, 1\/8, -1\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**1))\/l)*l**6)**18\/((l\/(l**(-1\/4)\/l*l))\/l**4*l*l*(l**(-4)\/l)\/l*l*l\/(l**(-1\/3)\/l)*l) assuming l is positive.\nAnswer: l**(1973\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:00 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20405 and 163240?\nAnswer: 163240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -30*p. Let g(c) be the second derivative of 1\/3*c**3 + 0 - 7*c + 0*c**2. Let j(v) = 2*v. Let w(d) = g(d) - 2*j(d). What is w(s(q))?\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121111100102 + 11?\nAnswer: -121111100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100010000000 (base 2) in base 9?\nAnswer: 27412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-10)*(-1 - 3\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 13*x**2 + 10*x - 21. Let b be j(12). Let d be (-6)\/b*10\/4. Factor a**2 + a + 1\/3*a**3 + d.\nAnswer: (a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knz when three letters picked without replacement from {z: 2, k: 1, a: 2, n: 9, y: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*j - 35 = 0, 5*v + 43 = 3*v - j. Let w be (v\/8)\/(1\/(-2)). Let b = w + -1. Sort b, -4, -1 in descending order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from bbyxbbybbyyxybb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105\/2*c**2 + 0 - 18*c**3 + 3\/2*c**4 - 36*c.\nAnswer: 3*c*(c - 8)*(c - 3)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5121 + 2?\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*k**3 - 213760*k**2 + 213760*k**2 - 496*k**3 + (5*k - 2*k - k)*(2*k**2 + k**2 - 2*k**2).\nAnswer: -496*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*w**2 + 115418 - 115418 - 6*w**3 as y*w**3 + i*w + q*w**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = -3*h, 5*l + 3*h - 2*h = 23. Suppose 4 = -4*t - 0*t - s, 2*t + l = -s. Let j(w) = w + 8. Let d be j(-7). Solve 5*r - d = -2*n + 3, -r = t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 48928?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i - 53. Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 + 6.3. Let l = 8 + -19. Let n = b + l. What is the closest to 0 in n, -2\/13, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31187 + -20464. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 - 7*u**3 - 35*u**3.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 111?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 5.1, -1, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*l = 5*l - 40, 2*l + 19 = 5*w. Let z be (-24)\/(-60) + 306\/10. Let u = z + -31. Solve u = -w*h - 3 - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-4))\/((-3)\/6). Let k = y + 15. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxwxwxdxddwpbd. Give prob of picking 1 v, 1 d, and 1 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 406297560 a multiple of 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -57. Let w = -56 - q. Differentiate 6 - 22*z**3 - 11*z**3 + 7*z**w with respect to z.\nAnswer: -78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1250 (b) -1\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2006, 2001, 1972, 1907, 1794, 1621, 1376?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*o + 226, 3*o - 6*o + 159 = 2*c. Suppose 0*g - c = -9*g. Solve 0 = 4*f - g - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142 times -0.8?\nAnswer: -0.1136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.3 + 17.3. Let p = 398.177 - 398. Let b = -0.077 + p. Sort j, b, -0.4 in increasing order.\nAnswer: -0.4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*177 - (-13 - -12). Let t be -1 - (-11)\/(-33)*(-105)\/(-1). Let p = t - g. What is the highest common factor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9421 + -9421.00004777. What is d rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6627 and -0.017.\nAnswer: 112.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62629003133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14942690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 308920 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 11*m + 4. Let t be b(12). Calculate the smallest common multiple of ((-60)\/t)\/(((-45)\/24)\/(-5)) and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74033980?\nAnswer: 2, 5, 17, 217747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 8, n: 5, q: 2, j: 3}. Give prob of picking 2 q and 2 n.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189397 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.08 (b) 5 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 75 + 9. Let a(y) = -9*y + 11*y + f*y + 2*y**2 + 13*y. Let z(o) = -2*o**2. Determine z(a(p)).\nAnswer: -8*p**4 - 168*p**3 - 882*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than or equal to -77\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1251822791 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + t = 18 - 26, 0 = 5*v - 4*v - 4*t + 23 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-88)\/12. Let o = i + -8. Put o, 4, 5\/4 in increasing order.\nAnswer: 5\/4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 0, -2*j + 2 - 14 = y. Let v(q) = -2*q - 1. What is v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320)*1 - (sqrt(320) - (sqrt(320) + ((2 + sqrt(320))*-4 - sqrt(320)) + sqrt(320))))**2*-3.\nAnswer: -9147 - 1872*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8 - -6. Let g = 12.1 + -12. Let l = 2.99 - -0.01. Put l, p, g in decreasing order.\nAnswer: l, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583228 times 0.6?\nAnswer: 349936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/((-25544)\/(-309)))\/((-6)\/136)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.07, 37.7, 3\/8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 121. Suppose 2*c - 4*o - 118 = 0, -c - 4*o - 17 + n = 0. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:46 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 33*z**2 - 19*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-5)*2\/20*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1662644, -1662656, -1662682, -1662728, -1662800, -1662904, -1663046?\nAnswer: -1663232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/1616 + 2953\/150288. Is 0 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s - 3. Let j = 781 + -778. What is l(j)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341 + -343. List the prime factors of 1642\/6*(o + 5).\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 o, and 1 m when four letters picked without replacement from kkjjvmmjjmjo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 328*o**2 - 117*o**2 + 382*o**2 + 158*o**2 - 10.\nAnswer: 751*o**2 - 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5 = -7*o. Let h(q) = 4*q**2 + 16*q - 4. Let d(k) = 3*k**2 + 16*k - 4. Let u(z) = o*d(z) + 4*h(z). Let x be u(16). Sort x, -2, 1.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205700 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/140 + (-1)\/(-10). Let i be 0 - 0 - (-1 - -4). Sort i, b, 0 in ascending order.\nAnswer: i, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -7 + (-13)\/13. Let v(d) = d**3 + 9*d**2 + 9*d + 2. Let h be v(i). Let j = h + 27. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*c**2 - 2 + (-2*c + 3*c + c)*(2 + c - 2) + 0*c**2 + c**2 + 4*c**2 in the form p + n*c + y*c**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-8)\/624*-2*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Suppose 2*x + 0*x + 10 = 0. Suppose 8 = -3*w + 2. Sort x, b, w in increasing order.\nAnswer: x, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1827 - -1830. Let 1\/2*k**b - 3\/2*k**4 - k + 0 + 1\/2*k**5 + 3\/2*k**2 = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = -3. Let d = 2.6 + -3.1. Put d, j, -3 in descending order.\nAnswer: j, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138148 (base 12) in base 15?\nAnswer: -664ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795.\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -92*l + 89*l. Factor -1\/5*w**l + 0 + 0*w - 1\/5*w**2 + 2\/5*w**3.\nAnswer: -w**2*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 14. Suppose -58*b = -61*b + g. Find the third derivative of v**b - 34*v**4 + 17*v**4 + 4*v**2 wrt v.\nAnswer: -408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/24 - (-5)\/(-2). Let r be (f - 0) + (12 - 2 - 10). What is the second biggest value in 0.1, -3, 7\/3, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-36*((-5)\/(-80))\/(39\/(-156)))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.066 - 3.266. Let p = -1.8 + o. Sort 4, p, 0.5, -3\/4 in ascending order.\nAnswer: p, -3\/4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-378)\/81)\/(2\/(-72)). Let p(b) = -54*b - 5. Let v be p(6). Let u = w - v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = x - 46743, 4*x - 9*p + 6*p - 187000 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 5*f**2 + 9*f - 9. Is h(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gluumpe. What is prob of picking 1 m and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1010010010100111110?\nAnswer: -1010010010101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62785?\nAnswer: 5, 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 25259 = 75*s. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1366290 divided by 4230.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 - 13*n**3\/3 + 7*n**2\/2 - 86*n + 5822. What is k(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1645 and 15463.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.811629 months to centuries.\nAnswer: 0.0056763575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -5, 0, -54.\nAnswer: -54, -5, 0, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*z - 7240 = 203*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349237 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 - (18 - (5 - -21)) - 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + c = -16, 3*c - 10 = -2*c. Let b = -17 + w. Solve -b - 4 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 333*s**2 - 1700*s - 16. Give m(-5).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0 - 4. Let v(l) = l**2 - l**3 - l**2 - 6*l**2 + b + 7*l. Let d be v(-7). Are d and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/7 - 1651866*c\/7 - 682165320489\/7 = 0.\nAnswer: -825933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -217302, -434617, -651932, -869247, -1086562, -1303877?\n\"Answer: -217315*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 - 34691*l + 29846040 = 0. Calculate l.\nAnswer: -35531, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:18 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 5123.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {s: 7, f: 3, h: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -c2769 (base 14) to base 12\nAnswer: -1a6975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 3 - (-12 + 8)) + -3 + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/3 + k**2\/2 - k + 1. Suppose -a + 3 = -1. Suppose -20 = 2*h - 5*n, -a*n + 18 - 2 = h. Determine d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16446 divided by 8223?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i**2 - i + 2. Let b be g(-2). Let n(q) = -q - 1. Let k(d) = 2*d + 1. Let a(m) = 6*k(m) + 15*n(m). What are the prime factors of a(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2228*k + 66*k - 654*k to d*k + l and give d.\nAnswer: -2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. What is the lowest common multiple of w and (8 - 13)*(-4 + -5 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*l**3 + 2*b*l**2*u + 6042643*l**3*u - 660700*l*u wrt l?\nAnswer: -6*b + 36255858*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 24804*a + 3245865.\nAnswer: 3*(a + 133)*(a + 8135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 1\/11 (c) 0.3 (d) 0.6 (e) -104\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4 in decreasing order.\nAnswer: 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 279*c**2 + 3\/4*c**4 + 17\/6*c**3 + 1\/60*c**5 + 0 + 0*c. Find d such that p(d) = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 20708 = -30*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -63. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2771 times 4889\nAnswer: -13547419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9 (b) -2 (c) -0.5 (d) 522\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*q - 2, 3*v + 21 = -q + 4*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -19\/164 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88686 and 3159.\nAnswer: 2394522","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -62.2606 * 220\nAnswer: -13697.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*g + 31. Let o = -17 + g. Let t = 12 + o. Solve t = -2*d + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i + 43*i = -68. Suppose -r - 4*g = -0*g + 7, 0 = -5*r - 3*g + 16. Is i not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -1\/120*c**6 + 3\/2*c**3 + 0 + 7*c**2 + 0*c - 1\/24*c**4 + 0*c**5. Give v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 4*n + 603 - 1221 = -2*a - 610, -3*a + 38*n = -240 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4047 or -1?\nAnswer: 1\/4047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -19 in ascending order.\nAnswer: -19, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243*y**3 - 149*y**2 wrt y.\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3180776 and 14313492.\nAnswer: 28626984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 - -2.374. Let r = w + 2.19. What is r rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -17*p - 3. Let b(g) = -120*g**2 + 69*g + 23. Let q(v) = -11*v**2 + 6*v + 2. Let s(a) = 2*b(a) - 23*q(a). Give t(s(f)).\nAnswer: -221*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -14\/5, -2\/3, 36\/59 in descending order.\nAnswer: 36\/59, 0.5, -2\/3, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:50 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 90.6. Let w = -6 + 6.28. Let o = 1.72 + w. What is the second biggest value in o, -3\/8, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*f - 1274, 2*f - 7*f = -3*u - 941. Let y = u + 116. Is 1\/(-2) + y\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*m + 11, 0 = 2*m + u - 2 - 7. Suppose 84 = 4*l + 8*i - 4*i, m*i + 66 = 4*l. Calculate the smallest common multiple of 40 and l.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 2:37 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + 19*b + 7. Let d be k(5). Solve d*y = 8*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 11*v + 55*v - 11*v + 38*v.\nAnswer: v**3 + 93*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/29, 1, 85, 4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 390376139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17702558 times -3.5?\nAnswer: -61958953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111302 (base 4) to base 9.\nAnswer: -1818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 487296, 974634, 1461970, 1949304, 2436636?\n\"Answer: -u**2 + 487341*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -1 - (-702 - -665)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 15*p**2 - 6*p + 20. Suppose 3*j = l - 3*l + 47, l - 4*j - 7 = 0. Calculate the remainder when g(-15) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(15\/153)*(-688)\/(-132). Let r = t + -266. What is the nearest to -5 in r, 3, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71921589 to the power of 1\/2, to the nearest integer?\nAnswer: 8481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 422 by -351.\nAnswer: -422\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/3, 5, -938, 2 in increasing order.\nAnswer: -938, 0, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 - 414*x**2\/7 - 56985*x\/7 - 2607100\/7.\nAnswer: -(x + 124)*(x + 145)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 18*r + 127 + 33 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2463*o**3 - 1803630*o**2 + 1803630*o**2 + (-4*o + o + 5*o)*(2*o**2 + 0*o**2 - 4*o**2).\nAnswer: 2459*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (7 - (7 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:32 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 238. Let b = d + -53. Suppose 3*v = -3*h + b, -3*v - 22 = -3*h + 38. Calculate the least common multiple of 1 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301*l**2 - 6 + 6 + 1300*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5561384769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 75648251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2463414896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56122, -112246, -168370?\nAnswer: -224494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyycyyyycccyyyy. What is prob of sequence yccy?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b**2 + 28*b**2 + 32*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 - 43*o**4 + 129*o**3 - 65*o**2 - 25*o.\nAnswer: o*(o - 5)**2*(o - 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/(2\/50). Let j be x\/(-14) + 0 + 1. Let h = 0.046 + 0.454. Which is the closest to 0? (a) j (b) 1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 762376 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 16 = -11*f. Solve -o = f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523 + -2617\/5. What is the closest to 2\/9 in f, 5, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-27)*(6 - 3). Let d(p) be the third derivative of -1\/8*p**4 + 0 - 3*p**w + 0*p + 1\/6*p**3. Differentiate d(j) with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1141553 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87651*d**2 - 130030*d wrt d?\nAnswer: 175302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 14*x - 23. Let o(l) = -l**2 - 14*l - 22. Let b(m) = -3*o(m) + 2*p(m). Differentiate b(y) with respect to y.\nAnswer: 2*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 16. Let q = a + -5. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 + 8*d - 86 + 7*d**2 - 7*d + 88 - 2*d**3 in the form t + s*d**2 + u*d**4 + l*d**3 + o*d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a week in hours?\nAnswer: 2912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 71 = 3*q + l, 2*q - 4*l + 34 = 0. Let r be 34\/(-136) + q\/(-36). Let 1\/9*b**3 + 8\/9*b + r + 5\/9*b**2 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, -8, -27, -46, -65, -84?\n\"Answer: -19*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46243 and 6.5.\nAnswer: -300579.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2*u**4 + 2*r**2 - 1355250*r*u**4 + 122*r + 3358 wrt u.\nAnswer: 8*r**2*u**3 - 5421000*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 - 207. Let y(p) be the third derivative of 5\/24*p**w - 1\/6*p**3 + 0*p + 4*p**2 + 0. What is y(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 2*i + 89. Let v = i + 127. Solve v = 4*k, 0*k + 3*k - 6 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*g + 2*g + 1 = 0, m = -3*g - 4. Let w be 3 + 1\/(m + 2). Which is the closest to -1? (a) 1\/3 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -861*f**2 - 790*f**2 - 1111*f**2 in the form y + d*f**2 + w*f and give d.\nAnswer: -2762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*r = -12, c + 16 = -3*c + 4*r. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-888)\/(-44) + (-2)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 2 + (-2 - -78). Let d be (f\/(-48))\/(1\/((-20)\/6)). Solve -2*u + 3 + d = -4*s, 2*s - 4*u = -10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72369, 72371, 72373, 72375, 72377?\nAnswer: 72379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:19 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 5*b**4 + 0*b**4 + 7*b**4 - 7*b + 7*b + (8*b + 0*b - 3*b)*(-6*b**3 - b**3 + 4*b**3).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 584.6 + -642. Let q = -57 - i. Which is the second biggest value? (a) q (b) 0.02 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from ecdudjudoeddeddd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*a - 2 = 10, a = 4*j - 12. Suppose 3*v = 5*x + 8, j*x = 6*v - v - 8. What is the remainder when v is divided by ((-3)\/9)\/(2\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2980612*a - 48*a**2 + 2980612*a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 4 + 7 + 8*i + 5.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14896*b**2 + 7*b + 461883 wrt b?\nAnswer: 29792*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-6) - 2\/(-6). Let u(b) = -b**2 + 4*b. Let d be u(2). Suppose d*c = -3*o - 35, 5*c - c - 5 = 5*o. Sort c, a, 4.\nAnswer: c, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-8 - -4) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 466680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**2 + 11*z**2 + 9*z**2.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*f = 618, -8*n - f = -7*n - 315. Does 42 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Let y(k) = 5*k**o - k**3 - 3*k**3 + k**2 - 14*k**2 - 14*k. Let b be y(14). Solve -5 = 5*a - b*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/6 - 2\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Suppose m - 5*i = -4*i, i + 2 = 0. Let y(u) = 5*u + 16. Let d(t) = -t - 3. Let x = -41 + 74. Let s(h) = x*d(h) + 6*y(h). Give m*q(g) + s(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 32. Let q = 31 - 27. Let o be q\/(-14) - (-896)\/49. Solve 4*f + 6 + h = 3*i, i - o = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 - -97. Calculate the least common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8518877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2604 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -22*l + 12*l + 10 + 4*l. Let s(z) = 8*z**3 + z**2 - 1. Let a be s(-1). Is p(a) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 - l + 1. Suppose 0*v = -3*v, 0 = -5*m - 3*v + 10. Let f(r) = 2*r**3 - r + 1. Let x(c) = m*g(c) - 2*f(c). Factor x(p).\nAnswer: -2*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23102, -23106, -23112, -23120?\n\"Answer: -c**2 - c - 23100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/5)\/q*q)\/q**6*(q**(-1)*q)\/(q*q\/((q\/q**7)\/q)) assuming q is positive.\nAnswer: q**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 24, 51, 112, 219?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -455405 - 45?\nAnswer: -455454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 158664.5 * -1.7\nAnswer: -269729.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002313 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/158 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16088 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8088925 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 + o**2 - 4. Suppose 7*s - 3*l + 18 = 4*s, 0 = -4*s - 3*l + 11. Let f(y) = y**3 - y**2 + y + 1. Let z(p) = s*w(p) - 6*f(p). Determine z(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (6 - 3) - (0 + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:14 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17120 divided by 5\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*n - 146, u - 193 = -2*n - n. Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*232\/(-192) - (3 + 2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 4, 652 in descending order.\nAnswer: 652, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 43. Let d be -4 + 2 - o\/3. Sort -3, 1, d in descending order.\nAnswer: 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-3)*((348\/(-120))\/29)\/((-3)\/(-2))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -63 - ((0 - 8) + (-72 - -82))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 16*q - 39 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/10 of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*o + 5*u, 0 = 2*u - 0*u - 6. Let k(d) = -d**3 - 8*d**2 - 9*d - 4. Let w be k(-7). Is o at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -12. Let q(d) = -d**3 - 14*d**2 - 14*d - 5. Let p be q(-13). Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 7*d**2 - d - 22. What is the remainder when 209 is divided by s(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1418\/2322423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.2 (c) -32785\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from xxttcxttlttltxstxftx?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -86458.411 to the nearest 10.\nAnswer: -86460","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 241 minutes after 10:37 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8789 or 0?\nAnswer: -2\/8789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.7 + -26. Let v = c - 5. Let x = 6.7895 - -0.2105. What is the third biggest value in x, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1.5 (c) -1\/6 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50267.41 grams in micrograms?\nAnswer: 50267410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(33)*-1*-5 + sqrt(33))\/sqrt(3) + -3*sqrt(88)\/(2*sqrt(8)).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 - 159. Suppose 0 = -r*v - 23 + 239. Let d = 13 - -4. Calculate the remainder when d is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3)\/(-54)*(-46312)\/827?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*y = -p + 13, -3*y = 4*p - 42. Calculate the highest common divisor of 63 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -6 - 4 = -q*s. Suppose s*o - 5*r = 50, 0 = 4*o - r + 3*r - 64. Calculate the greatest common factor of 35 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 520.\nAnswer: 0.3, 5, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3907365 divided by 32835?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/3383 + 13539\/23681. Factor -s + 12\/7*v + 4\/7*v**3 - 12\/7*v**2.\nAnswer: 4*(v - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*q - 3*q + 2271 - 4498 + 2227 + 586*q.\nAnswer: 1141*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47482, 94964, 142456, 189964, 237494, 285052?\nAnswer: 332644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8509 and 6223?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13700977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {e: 6, r: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 67. Let a be k(-7). Factor 0*y + 0*y**a + 0 - 1\/2*y**2 + 1\/4*y**5 - 3\/4*y**3.\nAnswer: y**2*(y - 2)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.106 times -2997\nAnswer: 9308.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-25))\/(-60*(-189)\/1260)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 121 (b) 1019 (c) -23.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14347*l**5*z - 2*l**2*z + 3*l*z - 833*l - 8 wrt l.\nAnswer: -286940*l**3*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-8))\/(2\/(-6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/(-8745))\/((-1)\/3).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27523*y + 510638 - 5208 = 128493 - 531322 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 4, a: 2, n: 1, w: 2, m: 4}. Give prob of sequence nb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, l: 1, b: 1, v: 1, m: 2}. Give prob of sequence vp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4980 - 3392*x**2 + 8*x + 3*x**3 - 4*x**3 - 9*x**3 + 3391*x**2 wrt x.\nAnswer: -30*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9258687 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 33136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l + 8. Let j = 2 - 4. Let k = -1 + 0. Let b be ((-13)\/j)\/k*2. Let d(u) = -11*u - 17. Determine b*s(r) - 6*d(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -13*o**3 - 14*o**2 + 2*o - 28. What is the second derivative of n(w) wrt w?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*a = 168, 11*a - 548 + 301 = 19*l + 689 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16479215 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**2 - 50*x - 114. What are the prime factors of f(-19)?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 166. Let a be x(-17). Calculate the common denominator of 40\/49 and a\/(-105)*12\/2 + 4.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423803080?\nAnswer: 2, 5, 433, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/126178888 and -5\/28.\nAnswer: 883252216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 3, y: 4, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 + 294. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + (-33)\/99*(-621)\/(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3893 divide 5521843561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 - 13*v + 34. Let n be i(10). Let p be (-1)\/2 + n\/(-16). Which is smaller: p or 45?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 6*g + 3 - 3. Let n(s) = -50*s - 2. What is n(k(j))?\nAnswer: -100*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v = 0. Suppose 3*p - 15 = -4*x, -2*p + 0*p = 2*x - 8. Let k be 6 - x*(-6)\/(-9). Solve -4*w + 4*d = 0, -3*d + v - 2 = -k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*8\/8*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122018 and 135369?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -6\/37 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txk when three letters picked without replacement from xtttvvtvvtttkvvvt?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*q + 3*g, -5*q + 0 = -4*g - 26. Calculate the lowest common multiple of (q - 5)*(-2 - -50) and 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-116)\/(-24) - 1\/(-6). Solve 3*s + 5*v - 13 = -0*s, c*v - 45 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20355 - -20355. Let t = 3.5 - 3. What is the nearest to 0.1 in -5, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 28 + 0*c**4 + 0*c**5 + 0*c - 5*c**2 + 13\/6*c**6 + 0*c**3. Find the second derivative of m(i) wrt i.\nAnswer: 260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/77 + 381\/154. Let h = -20.233 - 0.267. Let z = h + 20.8. What is the nearest to -1 in z, -3, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3058 + 3042. Let w(l) = 4*l + 62. Determine w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246 - 658 + 359 - 12*x to the form f*x + j and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30367 = -4*v - 30383, -12*v - 28 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-5)*(-6)\/21\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*l - 105. Solve 0 = -g - 25 + l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 103*s + 2 = 99*s, 0 = -4*n - 5*s + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2*s**2*u**2 + d**2*s*u**3 - 3*d**2 - 43*d*s**2*u**3 - s**2*u**2 + s**2*u wrt u.\nAnswer: 6*d**2*s - 258*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(68) - (-2*sqrt(68) - sqrt(68)))*-3 + (1*sqrt(68)*-3 - sqrt(68))))\/(((sqrt(396) + 1*sqrt(396))\/sqrt(9))\/(-1*sqrt(44)))*-4.\nAnswer: -128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 257271 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267 + 406. Let k = 93 + h. Which is smaller: 231 or k?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772674411 to the power of 1\/2, to the nearest integer?\nAnswer: 27797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128172 less than 358?\nAnswer: 2128530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 16280*k - 132519200.\nAnswer: -(k - 16280)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let z be (1\/2)\/((-30)\/315). Let x = 4 + z. What is the biggest value in r, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20106 + 431429734.\nAnswer: 431449840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-5*2)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308227257 and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 4. Let o be d(8). Let s(g) = -1 + g - 2*g - 4*g + o*g. Suppose -9*v - 24 - 21 = 0. Determine s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/7, 2609?\nAnswer: 2609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*u + 82 + 168 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -170*v**3 - 25*v**2 + 8*v - 5. Let b(c) = -113*c**3 - 18*c**2 + 5*c - 3. Determine -8*b(q) + 5*t(q).\nAnswer: 54*q**3 + 19*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1676972 by -419243.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 4*d + 3*x, -3 = d + 2*x. Suppose -p = d - 4. Sort p, -3, 4 in decreasing order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*h - 10*h - 10*h)*(-3 + 0 + 5) - h - 3*h + 3*h.\nAnswer: -143*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5 = -5*n - 4, -4*u + 36 = 4*n. Suppose -5*c = -u*c - 6. What is the smallest value in 5, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8)*12)\/(6\/(-54))*2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1\/((-4)\/(-8)). Let y be (-6)\/(-1*6\/g). Find the second derivative of -52*n**y + 52*n**3 + 21*n + 42*n**5 wrt n.\nAnswer: 840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - 12*c + 0*c**2 + 24 + 35 + 33 - 93 + c**3. Determine m(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2598955 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -0.8 (b) 1.6 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/15 + 2*g**2\/5 + 4*g\/5 + 5. Suppose v(o) = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100 - 11000111001?\nAnswer: -11010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 3103.\nAnswer: 27927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2)*1*-3) + -4.\nAnswer: -4 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -5, -4, -95 in increasing order.\nAnswer: -95, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5037 - -7554. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*a**4 + 20*a**3.\nAnswer: -5*a**3*(3*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1012, 2024, 3036?\nAnswer: 4048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/181*2525793834684\/(-2036880). Let c = 19364265\/943 + y. Let q = -1\/2715 - c. What is the common denominator of q and 50\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9193.65cm to kilometers.\nAnswer: 0.0919365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Which is the third biggest value? (a) -0.1 (b) 5\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yyxxyxxyxbyyyyyyyy.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/60 + 10112\/118560 and 119\/190.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) 16661 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 2*k + 9. Suppose g - 36 = -8*m + 3*m, 2*m - 13 = g. Let f = m - -10. What is the remainder when c(4) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/5)*s**10*s*(s\/s**(-1))\/(s\/s**(2\/21)) assuming s is positive.\nAnswer: s**(1354\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(6\/72639) - (-1 + 3). List the prime factors of l\/(-116) + (-3)\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - r**4 - r**4 + (0 + 2 - 3)*(-5*r + r + 101783 - 102616)*(-5*r**3 + 3*r**3 - 3*r**3) in the form l + q*r**3 + s*r**2 + c*r + p*r**4 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 - 2)*(1337\/21)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 1403 - 1401 = 2*j, 3*x - 4*j = 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*j + 682 = -0*f, 288 = -2*f - 3*j. Let i = 953\/30 + -258\/5. Calculate the common denominator of i and -1 - -2 - f\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1171 and 1174 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + -3 + ((sqrt(1216) + (sqrt(1216) - (sqrt(1216) + 0))*5)**2 - -5*(-3*sqrt(1216))**2).\nAnswer: 55931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -542 - -1385. Let y = d - 627. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206977.265 + 0.018967.\nAnswer: 206977.283967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n**2 - 6*n - 4. Calculate u(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 97*n - 38. Is j(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 - -3) + -27 + 18\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 4, e: 7, l: 3, y: 2}. What is prob of sequence lf?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2. Suppose 5*p - 2*p + 2 = c, 6 = p + 3*c. Let l(y) be the second derivative of p*y**2 + 0 - 1\/6*y**3 + 8*y. Calculate z(l(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -1000524 = -7003673\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17.39583 days?\nAnswer: 417.49992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10113322022 - 121023?\nAnswer: -10120103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/31267 or 2739?\nAnswer: 2739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 33. Let h = -75 - -36. Let o = h - -108. Calculate the remainder when o is divided by r(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623*l = 249*l - 3744 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9*t = -220. Let i = -50 - t. Suppose -3*a = -i*q - 664, 4*a + 104 - 951 = -q. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761072297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 793*z**2 - 1595*z**2 - 2 - 2*z + 771*z**2 - 2*z**3 as q*z + m*z**3 + p + g*z**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 8. Suppose -5*a = -4*j + 11, m*j = 3*a + 5 + 8. Does 1 = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -77. Let i = -36.924 + w. Let x = -0.07599772 + i. What is x rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*x - 209830 - 252950. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/284 and -31\/40?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 907095*j**4 + 30731*j + 22 wrt j?\nAnswer: 10885140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8096 + -2.1096. Which is the nearest to 6? (a) 5 (b) -3 (c) 141 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, t: 4, j: 2, c: 2, s: 7}. What is prob of picking 3 j and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4061785715 to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 41*a. Let b be j(2). Suppose 0 = -2*w - 2, 0 = -q - w + 128 + b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = -3*v, 6*h + v - 2 = 3*h. Calculate the common denominator of (-623)\/(-63) - (h - -7) and (-2)\/40*4\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080037466.\nAnswer: 2, 11, 5839, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -6*k - 1\/3*k**3 - 2 - 5\/2*k**2. Calculate p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62747 - -499.\nAnswer: -62248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7137*h = -7131*h + 5*o - 185, -3*h - 6*o = -2*h - 2*o - 148 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - 130. Suppose -87 = -b*w - 23. Calculate the highest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016954166 to five decimal places.\nAnswer: -0.01695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**5 + 0*q + 1 + 0*q**3 - 1\/2*q**2 - 1\/3*q**6 + 0*q**4. What is the second derivative of y(b) wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6088 or 6984?\nAnswer: 6984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - (-1 + -68)) + (-118 - -54 - -55).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 6. What is p(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = -19*x + 275 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17151 (b) -0.6 (c) -2\/3 (d) -5 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = -0*b - m, 5*b + 3*m - 24 = 0. Let z(j) = b - 4 + 5 - j + 1. What is the remainder when 43 is divided by z(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -661373, -661372, -661371, -661370, -661369?\n\"Answer: h - 661374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0331 times 51.626?\nAnswer: -1.7088206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 141020730 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}