diff --git "a/data/dm_maths/full_data_1/1947_11255.jsonl" "b/data/dm_maths/full_data_1/1947_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1947_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a be 6 - (-2 + 3 + -4). List the prime factors of 6\/a*(-15)\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**26)**(-44) assuming r is positive.\nAnswer: r**1100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 8 + 3*n + 8*n**2 - 2*n**2 - 3*n. Let q be u(-6). Suppose q = 6*m - m. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h. Let l(c) = -3*c + 6. Let r(f) = -5*f + 11. Let o be 0\/1 - (-12 - 2). Suppose o*k + 33 = 11*k. Let y(x) = k*l(x) + 6*r(x). Determine y(m(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 940, 2110, 3748, 5854, 8428?\nAnswer: 11470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/331?\nAnswer: -8\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 7*x - 84*x)*(-4*x + 4*x - x)*(x - x + 2*x**2) to r*x**3 + k*x + y + z*x**4 + h*x**2 and give z.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than or equal to -111\/1652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(30)*2)\/sqrt(2))\/(sqrt(3) - sqrt(96)\/sqrt(2) - -1*sqrt(3)*1).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 141*j**4 + 3*j**3 + 163*j**2 - 6. Let f(m) = -m**4 + m**3 - 2*m**2 - 2. Let n(v) = -3*f(v) + p(v). What is the third derivative of n(q) wrt q?\nAnswer: 3456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 7*q - 3. Let p be 1\/((-2)\/(-3))*(-272)\/(-204). Let s be t(p). Suppose 287 = s*u + 185. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23560)\/167200 - 8\/(-160).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 12. Let r be (-1)\/(18\/(-1264)) - (-36)\/(-162). Suppose 68*a = 73*a + r. What is the units digit of b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*x + 174*x - 5175 = 0. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 528*g**2 - 705 wrt g.\nAnswer: 1056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1287*t + 2 + 14 - 14 + 0 - 2.\nAnswer: -1287*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 30571.9 days?\nAnswer: 2641412160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313614?\nAnswer: 2, 3, 7, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**24\/(g**(-1\/8)*g**(-2\/19)) assuming g is positive.\nAnswer: g**(-877\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 - 2*x**4 - 2*x**4 + (-28*x - 30*x + 18*x)*(71*x**3 - 188*x**3 + 84*x**3) in the form l*x**3 + p*x**2 + r + v*x + u*x**4 and give u.\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 1636929 = 12*o. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10728808 and 16?\nAnswer: 21457616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 7. Let i be r(-4). Let q = i - 3. Suppose 5*p - 50 - 70 = q. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05098 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 9 - 0) + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18012149 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*m**3 + 0*m**2 + 469*m**3 + 466*m**3 + 0*m**2.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 12775.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-22) + -1)*331\/(-331)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284377 is divided by 214054.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 311.032 (b) 1\/2 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*a - 27, -2*f - 3 = -5*f. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*t + t**3 - 26*t**2 + 26*t**2 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = -19. What is the highest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:31 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i + 1. Let w be (0 - -4)\/(8\/2). What is a(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i**2 - 16*i + 4. Let d(b) = 6*b**2 + 5*b - 1. Let c(y) = 11*d(y) + 4*p(y). Let s be c(-6). Let t = 75 - s. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 279753 and 279786 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 17*i - 8. Give n(12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -850 (base 12) to base 8\nAnswer: -2274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6064303, -4, 2, -2.\nAnswer: -6064303, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104248 is divided by 1012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -17, -5, -2, 8, 1 in ascending order.\nAnswer: -17, -5, -2, 1, 8, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**3 + 159*l**2 + 19*l + 344. What is z(-26)?\nAnswer: 1878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*o - 5*p, -117*o + 119*o - 4*p = -8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -18, -67, -152, -279, -454, -683, -972?\n\"Answer: -q**3 - 9*q**2 + 15*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 316685811 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 10)*0\/2. Let r(w) be the first derivative of -2 + 0*w**4 + 0*w + c*w**3 - w**2 + 2\/5*w**5. What is the second derivative of r(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/12 - (-22)\/6. Let w(i) = i**2 + 6*i + 3. Is 7 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00972 - 4.60272. Let t = 0.007 - q. Let v = t + 0.4. Which is the closest to -3? (a) 0.2 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 + 23\/(-8) + 849\/(-1132)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -25, 4\/23, -0.7, 2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4463996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 4*t - 43*t**3 + 9*t - 4*t - 1. What is the tens digit of k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 32067?\nAnswer: -2244.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 20 = 12*h. What is the biggest value in 0.08, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjnzziijnjizzii. What is prob of picking 1 i and 1 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 4*i**2 + 8*i - 4. Let x be m(4). Suppose 188 = 5*s - x. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3 - (3 + -6 - 7) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2. Let r(q) = -2*q**2 - q. Let f(i) = r(i) - 6*y(i). Let a be f(1). Find the third derivative of 6*u**3 - 2*u**a - 2*u**3 - u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*(-20)\/(-16))\/((-17)\/(-1088)). What is the highest common divisor of s and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/18*(-552)\/(-115) - -41?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.11, -24\/3577, -4, -0.4, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**11*h)\/h)\/h)\/h**(-9))\/(h**1)**3 assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 9338.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + 2*r**2 + 3*r. Let k be (20 - 26)*2\/3 + 2. Calculate y(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4534 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -614 - -614. Which is the second smallest value? (a) -67 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25.89 >= 0.0347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 7*m - 9. Is z(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144165 (base 11) in base 7?\nAnswer: -1625234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(3\/4)*s**(2\/11)*s)\/(s**8\/s*s*s\/s**(-2\/17)))**(-18\/11))**(-11\/2) assuming s is positive.\nAnswer: s**(-48375\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)\/w*w)**35\/(w**(8\/7)*w**(-2\/19)) assuming w is positive.\nAnswer: w**(-138\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*d - 5 = 2*d, -3*d = -4*w + 10. Is 95\/10*(w - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 271\/4, -1\/11?\nAnswer: 271\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012023 (base 4) in base 9?\nAnswer: -37225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/116 or -1?\nAnswer: -7\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (5 - 1)) + 3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -20. Let j = v - -8. Let g = -1.7 + j. Which is the closest to -1\/3? (a) 0.1 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 13*f**2 + 6*f - 8. Calculate the smallest common multiple of v(2) and 50.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.2 - 3. Let t = -61.9 + k. Let j = -70 - t. Which is the closest to 1\/2? (a) j (b) -3 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 128*v**2 - 1. Is o(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 58*n**3 - 152*n**2 + 15*n - 75. Let o(l) = 15*l**3 - 38*l**2 + 4*l - 20. Determine -4*g(a) + 15*o(a).\nAnswer: -7*a**3 + 38*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -2 - -3) + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3602\/69573 or 1?\nAnswer: 3602\/69573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/15)\/(14\/21). What is the smallest value in 1, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 2*d - 522. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 289*d**5\/6 + 2227*d**4 - 13117*d**3\/2 - 4906*d**2\/3 - 98*d = 0. Calculate d.\nAnswer: -49, -2\/17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d - 45 = 3*k, -d + 43 = -3*k. Calculate the lowest common multiple of ((-49)\/k)\/((-2)\/(-8)) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -57. Calculate the remainder when s is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let p = 16 + -11. Let a be (-10)\/8*-1 + (-9)\/12. Sort z, p, a in descending order.\nAnswer: p, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80896 - 31*h**2 - 80896 - 502*h + 2*h**3 wrt h.\nAnswer: 12*h - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2701046*g**5 - g - 2620577 wrt g.\nAnswer: 54020920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10 - v + 3*v - v. Let w be k(-6). Suppose -3*t + 6 = w*n, -4 = 4*n - t - 2. Solve 3*p - p - 3*a - 15 = n, a = -2*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/11 + 43\/55. Which is the third biggest value? (a) -0.2 (b) -11\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b8438 - -3?\nAnswer: -4b8435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + -2*sqrt(112) + sqrt(112) - (-5 + sqrt(112)*2 + sqrt(112)) - (sqrt(112) + 1 + (sqrt(112) - -2*sqrt(112)))*1) + 2 + -5)**2.\nAnswer: -256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 - (9 - 2)*(-4)\/4 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100*22\/(-132))\/(-2*(-5)\/(-36))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:27 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268181 + -77202. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 6, -70, -208, -426, -742?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 269 and 63215?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812055 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2501078 millennia to months.\nAnswer: 3001.2936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -214*l**4 + 173*l**3 - 11*l**2 + 52*l + 13. Let i(h) = -h**4 - 2*h**3 - h**2 + 4*h + 1. Let d(p) = -39*i(p) + 3*t(p). Factor d(k).\nAnswer: -3*k**2*(k - 1)*(201*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 - 6*g + 3*g - 12*g**2 + 15 + 8*g - 3*g**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -606, -529, -380, -135, 230, 739, 1416?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3597421 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3973 + -3804. Calculate the highest common factor of d and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/13925 + -27544\/2130525. Which is the third biggest value? (a) -0.1 (b) -0.08 (c) 1\/3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4443 (base 7) to base 16\nAnswer: 63f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 4*i**5\/15 - 7*i**4\/8 - 31*i**2. What is the second derivative of o(q) wrt q?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(168)*2)\/sqrt(8))\/(1*sqrt(108)*4).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 14*a + 46. What is n(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 - 35*h**3 - 19*h**3.\nAnswer: -62*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - ((135 - 79) + -115)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.035? (a) -3 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10829*c + 533. Let t(r) = -637*r - 31. Let w(n) = -3*f(n) - 52*t(n). Let z(s) = 2*s**2. What is z(w(u))?\nAnswer: 811538*u**2 + 33124*u + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/11 (b) 27 (c) 2\/12149 (d) 8\/3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) + (-33)\/(-9). Let q = 3.3 + -3.1. What is the nearest to 2 in 2, f, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 82*t**3 - 8*t**3 + 113*t**3.\nAnswer: 179*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -874407 + 9609173\/11. Let v = 841 + h. Find the common denominator of (-9)\/(-16)*(-34)\/(-3) and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 9 - 19 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 2)*(-2 + 2*i + 2) - 242 + 106*i + 242)*(0*i - 3*i + 5*i)*(4*i - 3*i - 3*i).\nAnswer: -432*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-188616)\/16)\/(54\/(-72))?\nAnswer: 2, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -94?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a = -3*o + 15, 5*o = 2*a + 39. Solve o + 5 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*l + 4*l + 22, 3*r + l = -13. Let o = 9 + -8.9. Let p = 1.9 + o. Which is the third biggest value? (a) 5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/28 + (-2)\/7. Suppose 225 = -5*w + 15. Is 7 a factor of -21*(w\/(-9)*a - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-36) + (-713)\/(-72) and (-28)\/(-192)*(-1000)\/(-140)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35942 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*r + 22. Suppose 11*o = r*o - 5. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 7*s. Calculate w(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus -1003707586?\nAnswer: -1003707565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 - (-1)\/6. Solve q = 5*g + g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -24582?\nAnswer: 36873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19389?\nAnswer: 3, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2132 = -48*j + 44*j. What are the prime factors of j?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43713 + 43693.579. Let h = 19.6 + r. Round h to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.34 or -2\/5546599?\nAnswer: -2\/5546599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926232.2l to millilitres.\nAnswer: 926232200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1609, -2366, -3613, -5350, -7577, -10294?\nAnswer: -13501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 2*w**2 + 0*w + (w - 123 + 123)*(1 - w - 1).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**2 - 237*n - 47. Let v be t(-18). Solve -c + 4*i = v*i + 13, 5*c + 3*i = -17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3616, 3620, 3624, 3628, 3632, 3636?\nAnswer: 3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.517 - -0.017. What is the nearest to 1\/2 in -0.1, b, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*s - d, 4*s + d - 98 - 30 = 0. Let w be -2 - 12\/(-9) - s\/24. Sort 0.2, 0, 3\/5, w in ascending order.\nAnswer: w, 0, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1 - -2))\/((-100)\/(-5000))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 204961994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008859 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:35 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 142*r + 100. Let w(h) = -575*h - 399. Let z(b) = 18*f(b) + 4*w(b). What is the first derivative of z(m) wrt m?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/120 + 7*a**5\/30 + a**4\/24 + 23*a**3\/6 - 446*a**2. Calculate z(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 2, d: 2, n: 5}. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, -2\/5, -0.2, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1513*-10.\nAnswer: 15130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x**2. Let r be (-1)\/(-5) - (-6)\/(-30). Suppose -3*c - 3 + 9 = r. Let u(v) = -2*v**2 - 2*v**2 + 0*v**2 + c*v**2. What is u(m(a))?\nAnswer: -242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.3 (c) 380 (d) 16 (e) -83 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*l*v**2 + 8*l*v + 93691683*l + 3*v**2 - 9124*v wrt v?\nAnswer: 154*l*v + 8*l + 6*v - 9124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q - 3*q)*(-q**2 + 0*q**2 - q**2) - q**3 + q**2 - q**2 + 29 - q**3 - 2*q**2 + 4*q**3 + 4587*q - 4585*q.\nAnswer: 4*q**3 - 2*q**2 + 2*q + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 387136 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j + 1. Let p = -3 + j. Sort 3, p, 5.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/25, 10, -1, -0.3, -1\/3 in decreasing order.\nAnswer: 10, -2\/25, -0.3, -1\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 11*z + 20. Let a(q) = -q**2 - 242*q + 11. Let l be a(0). Give v(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/((-8)\/6) - -2)\/(16\/(-1072)). Solve -83*o = -j*o - 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 12:58 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6563b + a?\nAnswer: -65631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z, -5*v - 5*z = -180. Let c = v - -1. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 9. Is 7\/(-7) - 102\/j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p = -73*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 11*z**2 - 12*z + 7. Let c be h(-12). Suppose -c*f - 599 = -2020. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1578.16 + 1550. Let r = -1 - -30. Let g = r + d. What is g rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11134 - -244903\/22. What is the common denominator of 31\/26 and p?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 3707377?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3790 = -4*q - 2838. Let m = 3416 + q. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + 2*h**2 + 0*h**2)*(h + h - h) + 0 - h**3 + 0 + (-3*h**2 - h**2 + 2*h**2)*(-3*h + 3*h + 2*h) in the form k*h**2 + w + n*h + f*h**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 1329, 3089, 5563, 8757, 12677, 17329, 22719?\nAnswer: 28853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w = -65*w + 4*q - 6 - 13, -52*w - 11 = -47*w + 4*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 2, a: 1, m: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16407, 16402, 16385, 16350, 16291, 16202, 16077?\n\"Answer: -k**3 + 2*k + 16406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - n**2 + 2*n. Let s be r(1). What is the second smallest value in s, -2, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + d - 4*d + (-1 + 1 - 2*d)*(0 + 3 - 2))*(996 - 996 - 100*d) to n*d**2 + h + i*d and give n.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, r: 9}. Give prob of picking 1 h and 1 r.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46 and -119\/390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -3, -0.4, -4\/281, 2\/17?\nAnswer: -4\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187)*-2)\/(sqrt(225) - sqrt(225)*-2)*-5.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 4*z**2 + 2. Let s be l(4). Suppose 0 = -2*b + 6 - 2. Is b not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473 divided by -5.\nAnswer: -473\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4745\/(-520) + 9)*-184.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47094362, -47094367, -47094374, -47094383, -47094394, -47094407?\n\"Answer: -y**2 - 2*y - 47094359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418214 is divided by 41645.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + -66 + 0 + -1 + 1 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7726, -7616, -7506, -7396?\n\"Answer: 110*y - 7836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1344)\/(-16) - (4 - 0). Suppose -29*z = -9*z - x. Solve -3*v - 5*u + 10 = -10*u, -16 = -z*v + 4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 4*11\/(-3)*-3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 15 + 3. Let q be ((-48)\/(-21) - h)*(-7)\/9. Let u = -0.05 - -0.35. What is the second biggest value in 9, u, q, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + f + 618 = 2*f, -3*k + f = -374. Suppose -5*w = -3*z - k, z = -4*w - z + 108. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/3 - 168412*w**3\/3 + 673576*w**2 - 2020656*w = 0.\nAnswer: 0, 6, 84194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*v - j + 4*j = -179*v - j - 44, -5*v + 4*j = -44 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4611 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2. Let l(z) be the first derivative of z**5\/60 - 7*z**3\/3 + 6. Let y(h) be the third derivative of l(h). Determine y(t(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/50 - -2\/25. Let c = -16794 - -218320\/13. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*55\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 25*g + 15. Give p(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001396050425 to 6 decimal places.\nAnswer: 0.001396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/22*(1 + -2) and 1 - 27\/240*12.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07153 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*u - 3624, -15*y = -3*u - 13*y + 5426. Let m = 1806 - u. Let l = 0.6 - 0.9. Which is the smallest value? (a) l (b) m (c) 3\/4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -d - 164 + 70 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 14*n - 15. Suppose -o = -n*o + 12. Let q(k) = k**3 - 4*k**2 + 4*k - 10. List the prime factors of q(o).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*b + 24, 3*b - 3*u - 24 = 2*u. Let l = 7 - 5. Find the third derivative of m**5 + 3*m**2 - 2*m**5 + l*m**b - 2*m**3 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 91. Let u = 6 + -6.3. What is the closest to p in 1\/3, u, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143700.\nAnswer: 2, 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*x = 542*x + 324. Let v(l) = -l**2 + 11*l - 15. Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*t)*(-6*t + t - 32*t)*(3 + 0 - 1).\nAnswer: 222*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*d - 26 = 2*o - 745*d, 3*o + 38 = 4*d for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 - -16?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.994 + -0.006. Let t = z - -5. Which is the nearest to -3? (a) t (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*h\/(h*(h\/(h\/(h\/(h*h**(-12)))*h)*h)\/h)*h*h*h*h*h*h)\/h*h*h*h*h**(1\/14))\/(h**(-3\/14))**17 assuming h is positive.\nAnswer: h**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*j + 3665, 6 = j + 9. Let q = z + 1866. Let v = 260 + -60. What is the remainder when v is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 5*j + 49, 3*j + 63 = 4*h. Suppose -4*m = 7 + 5. Let c be h\/9*m\/(-2). Solve -15 = -c*b + 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**6\/135 + y**5\/36 + y**4\/36 - 5*y**3\/6 - 3*y. Let p(o) be the second derivative of q(o). Solve p(z) = 0 for z.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -734, -700, -666, -632, -598, -564?\n\"Answer: 34*i - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 50. Let p(g) = 14*g**2 - 1. Let m be p(1). Let d = n + m. Solve -a + 5*k = 0, -2*k + 20 = -4*a + d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 43*c**2 - 8*c + 0 - 44*c**2 - 9. Let i be p(-6). Suppose -2*y + 349 = 4*s - i*y, -s + 97 = 3*y. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -11, 9, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -892, -3649, -8332, -15013, -23764, -34657, -47764, -63157?\n\"Answer: -12*w**3 - 891*w**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:33 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 71 - 69, 0 = 4*f + 5*y - 17. Let p be (5\/15)\/((-2)\/24). Sort 0, f, p, 1 in increasing order.\nAnswer: p, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234776 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - n + 4*n - n**3)*(-3*n + 2 - 2).\nAnswer: 6*n**4 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/16340*-76*310\/6.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1123034400 + 33?\nAnswer: -1123034312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let w(i) = -7*i**2 - 3. Let g(u) be the second derivative of -13*u**4\/12 - 5*u**2\/2 + 3*u. Let h(d) = 3*g(d) - 5*w(d). Determine h(z(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -89411.171 to the nearest one thousand.\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8))\/((-2)\/52). What is the units digit of x\/(-3)*(0 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 7*a - a**3 - 4*a**2 - 3*a. What is the remainder when 10 + -9 + 1 + 45 is divided by z(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87463399, -174926800, -262390201, -349853602?\n\"Answer: -87463401*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 36867\/28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3315970569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7269 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*g, 2651 + 1088 = 3*n + 5*g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6121*o - 11*o**2 - 12257*o + o**2 + 6136*o - 5*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33059713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*110\/(-5544)*2*7*-3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*g**4 - 98233795*a**2 - 155193514*a*g**4 wrt g?\nAnswer: 4*a**2*g**3 - 620774056*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - ((-74)\/(-6) + -3). Which is the nearest to 0? (a) -3\/2 (b) 2\/27 (c) x (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 3*j + 96*j**2 + 36*j**2 + 45*j**2. Let y(s) = -3*s. Give y(w(u)).\nAnswer: -531*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2648 and 40?\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529668 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133531*b**3 + 51539*b**3 - 175940*b**3.\nAnswer: -257932*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 6*j**2 + 71 - 2 + 3*j**2 + 2*j**2 - j in the form u*j**2 + x*j + s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99696, 99716, 99736?\nAnswer: 99756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-7)\/(-21)*(-1)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3)**(-8)*(q*(q\/(q\/(q*q**(-6))))\/q)\/q**(2\/11) assuming q is positive.\nAnswer: q**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-1)\/((-4)\/(-3)). What is the biggest value in 0.4, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 34, -5, 5, 2 in decreasing order.\nAnswer: 34, 5, 2, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 411\/274*(-9)\/((-27)\/(-48))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1869*y + 13 + 926*y + 932*y)*(-y + 3*y + 0*y).\nAnswer: -22*y**2 + 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888205 is divided by 203?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 499, 2, 13 in descending order.\nAnswer: 499, 13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18*11\/528 + 86\/(-144). Which is the biggest value? (a) p (b) 4 (c) -1 (d) 3\/4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 379 - 346. Let y be 4 + -4 - (-43 + 1). Let z = y - l. What is the remainder when 17 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -101. Let y(c) = -72*c**2 + 135*c + 7. Let h(j) = -24*j**2 + 45*j + 2. Let w(l) = u*y(l) + 7*h(l). What is the second derivative of w(m) wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i. Let n(x) = -3*x**2 + 2*x**2 + 4*x**2. Calculate n(b(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*p**5 + 1852*p**3 - 6*p**2 - 13707*p - 38?\nAnswer: 1000*p**3 + 11112*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)*w*w\/w**(-9))\/(w**0)**(1\/30) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2. Let c be g(2). Let l(o) = 5*o**2 + 4. List the prime factors of l(c).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 3. Let x be y(-3). Let h = 120 + x. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haakaaafa. Give prob of picking 2 a.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-660))\/(6363\/(-29997)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**4 - 4227*l**3\/2 - 35967*l**2\/2 - 35697*l\/2 - 9387\/2 = 0.\nAnswer: -7, -3\/5, -1\/2, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgrrrrbrggrhhbrbh. Give prob of picking 1 h and 1 r.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-12 + (-5 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(0 - (-9 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/6, 0.4, 1, 0.41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from cttxttcty?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 5. What is the biggest value in -2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 1647 + 1632 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23867 divided by 3657\nAnswer: -23867\/3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/6)\/(7\/(-21)). Let x = -439 + 450. What is the first derivative of 3 + 0 - m - x - 21*b wrt b?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -24\/1519 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 46222680?\nAnswer: 508449480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(88) + 1*sqrt(88)))\/(-3*sqrt(56)\/(sqrt(56)\/sqrt(8))).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 537 and 151792?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1356 + 17?\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-52 - -22) - -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 67*m + 366. Calculate u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3559\/7 - 214289\/420. Find the common denominator of 1\/186 and s.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -32*h - 5. Let u(q) = 16*q + 3. Calculate 4*i(z) + 7*u(z).\nAnswer: -16*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4728 = 3*t. Let l be (t\/4)\/((-3)\/20). Round l to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 18 - 14 - 6*k)*(2*k**3 + 3*k**2 - 3*k**2).\nAnswer: -12*k**4 - 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11121021341 (base 5) to base 13\nAnswer: 27108a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j**3)*(3 - 3 + j**2) + (-3*j - 8*j + 3*j)*(-5*j**4 - 6*j**4 - 3*j**4).\nAnswer: 114*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*w = -4*g + 251, 4*g - 4*w - 368 = 0. Suppose 4*c + 79 = g. What is the third derivative of 12*a**3 + 7*a**3 + a**c - 6*a**3 wrt a?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -5, 0.1, 0, 2, -48.86?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:47 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*t + 45 = 4*d, -2*d - 5*t = -39. Let l = -240 - -243. Calculate the remainder when d is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -105318*k. Let f(i) = 3*i. Give f(n(z)).\nAnswer: -315954*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f*f\/(f*f*f**(-3\/10)\/f*f*f))\/f)\/f)*f*f*f*f*f\/(f*f*f*(f\/f**9)\/f*f))**16 assuming f is positive.\nAnswer: f**(1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868885334 to the nearest integer?\nAnswer: 29477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203180700 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5577825061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12521 - 11913. Calculate the greatest common divisor of w and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:24 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3830\/25 - (-18)\/(-15). What is the highest common divisor of g and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 887, 1313, 1759, 2231, 2735?\nAnswer: 3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 12*v + 5 = -5*x, 0 = x - 3*v - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 451031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/725 in -0.117, -2\/35, -0.2, -5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 62*q - 23. Let f be k(2). Suppose f*i - 168 = 93*i. Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -900*g**3 + 375*g. Let r(z) = z**3 - 3*z. What is j(k) + 125*r(k)?\nAnswer: -775*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2150\/(-193500))\/(1\/(-460)))\/((-2)\/18).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2152503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118424268 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.4. Let c = f - 0.3. Let o = -0.09998 - c. Round o to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.6601mg in micrograms?\nAnswer: 102660.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*b + 3917 + 11677. What is the remainder when 2257 is divided by b?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 5*g - 3. Suppose 3*n = 39 - 6. What is the remainder when n is divided by b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138080 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/7 + 205443810*l**3\/7 - 3517263255609675*l**2\/7.\nAnswer: -3*l**2*(l - 34240635)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1 + 2 + -4 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 r when three letters picked without replacement from {z: 3, u: 1, d: 4, g: 3, r: 2, o: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/30 and -7\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 13)*(-10)\/15 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 9*d + 17*d)*(-d**2 - 334*d + 334*d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5 - 1. Suppose -t*j + 12 = -6. Suppose -4*l = 2*h - 38, 2*h + 4*l - 2 = 4*h. Calculate the smallest common multiple of h and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 445144945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/792*(-66)\/(-336).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - j + 87 = 88, j - 24 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, -0.2, -2, 3.9, 23 in decreasing order.\nAnswer: 23, 5, 3.9, -0.2, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 0, -36\/19 in increasing order.\nAnswer: -3, -36\/19, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:10 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 take away 6.26482745871?\nAnswer: -6.48482745871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = k + 177, 3*k = 5*x - 543. What is the common denominator of 25\/7 and 5\/15*k\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-138)\/(-92)*24\/(-9) - -5. Which is smaller: 2\/2601 or m?\nAnswer: 2\/2601","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 - 15*v + 5*v**3 - 14*v + 12*v - 6*v**3 - 25*v to m*v + j*v**2 + b + w*v**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r, -2*l + r + 4 = -l. Solve l*t + q - 4 = 0, -2*t = 5*q - 2 + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -303*i**2 - 19*i**5 + 303*i**2 + (-2*i**3 + 1 - 1)*(-3*i**2 + 6*i**2 - 2*i**2) + 3*i**5 - 4*i**5 + 5*i**5.\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 170, 240, 378, 602, 930?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111304 (base 5) in base 15?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 + 115*a**2 + 36*a - 87. Give q(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6) - -2 - (-99)\/297?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0065 - -2.1965. Let z = n + -2.18999871. Round z to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/388 and -41\/576.\nAnswer: 55872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89\/6? (a) 3\/4 (b) -0.1 (c) -8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6284156*g. Let z(y) = -3*y**2. Calculate r(z(o)).\nAnswer: -18852468*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16945.\nAnswer: 5, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.3 - 23.3. Which is the fourth smallest value? (a) -1 (b) v (c) -2\/3 (d) -9 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k + u, 4*u = -u + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19\/903 + 12717\/1204. Find the common denominator of 149\/24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(1 + -15) + (-10)\/2. Is p <= -0.155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -3*z + 299, -9884*r + 9880*r + z = 168 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*h - 5, 26*t + 2*h = 23*t + 15. Let s(z) = 11*z - 4. Let l(b) = 20*b - 7. Let n(f) = t*s(f) - 4*l(f). Let i(r) = 11*r**2 + 2. Give i(n(y)).\nAnswer: 99*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 32. Does 2 divide (-4)\/(-22) - 238\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (-1*sqrt(208)*2)**2 - ((0 + sqrt(208))*-2 - sqrt(208))**2.\nAnswer: -1040 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207102414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 2*x**3 + x**3 + 2*x**3 - 23*x**2 - 19*x + 22. Let l be c(18). Solve 0 = -2*u + z + 1, l*u + z - 22 = -z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*h - 26*h + 39*h as x + f*h and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 791191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*p = 610, p - 553 = -4*h + 45. What is the remainder when h is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10462531 divided by 527.\nAnswer: -19853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2698 - -0.3698. Which is the closest to g? (a) -0.07 (b) 6\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -26, 3 in increasing order.\nAnswer: -26, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461 - 472. Is (5 - v\/(-1))*(-10617)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94677095?\nAnswer: 5, 19, 996601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o + 2*o)*(-2*o - o + 2*o)*(0*o - 3*o + o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/2))**(-18)\/(h**(-2\/9)\/h*h\/(h**(4\/9)*h)*h))**30 assuming h is positive.\nAnswer: h**(-790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(972) - (1*sqrt(972) - sqrt(972)))\/((sqrt(72) - -1*sqrt(72) - sqrt(72))\/sqrt(8)) - -4*(3 + sqrt(363) + 1 + sqrt(363)))*2 + 2)**2.\nAnswer: 12784*sqrt(3) + 107188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177 * 98145.\nAnswer: 17371665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1530*r - 34. Let u(w) = -5*w - 2. What is -o(v) + 17*u(v)?\nAnswer: 1445*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let f = k + -0.5. Let z = -0.36 + -1.64. What is the closest to 1 in z, -2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6984 and -95\/2076.\nAnswer: 1208232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 8*f + 9. Let t(l) = l**2 - l - 2. Give k(v) + 6*t(v).\nAnswer: 3*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626204 is divided by 766.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 4. Find the third derivative of -f**6 - r*f**2 + 3*f**2 - 3*f**3 + 3*f**3 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 405\/23 - 1681\/230. Suppose -4*s = 5*s - 252. Find the common denominator of c and 24 - 27 - (-2 + 134\/s).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 4*z**2 - z - 12. Let l be y(5). Suppose 0 = m + 2 - l. Suppose 0 = m*i - 169 + 61. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-65)\/10 - (-3)\/2. Let k(l) = -l**2 + 7*l + 58. Calculate k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212660633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44637785*r**4 + 3*r**2 + 6*r + 62878?\nAnswer: 1071306840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, q: 2, f: 5}. Give prob of picking 1 q and 2 f.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-120)*-8*8800\/165.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 492 = -357. Solve 5*v = 15, 19*v - 4 = -y*j + 16*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {o: 1, y: 1, m: 8, q: 7}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/2 (b) 13 (c) 4\/7 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1447173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-1\/7)*v*v*v)*v*v*v**(2\/3)*v*(v\/(v*v**(-2\/7)\/v))**20*((v*v\/(v**3*v)*v)\/v*v*v\/(v\/(v*v**(-6))))\/(v**(1\/4)\/v*v\/(v**2*v)*v) assuming v is positive.\nAnswer: v**(1955\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, -0.2, 4, -19648, -3\/26 in descending order.\nAnswer: 4, 4\/15, -3\/26, -0.2, -19648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 26 = 3*k - 8, 0 = -4*t - 4*k + 8. Let l(o) = -o**3 - o. Let c(q) = q**3 + 7*q**2 - 4*q - 5. Let b(u) = -c(u) - 2*l(u). What is b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-8*18\/(-48). Suppose o*d = 7*d - 4*m - 16, -m - 12 = -3*d. Does 22 divide (-290)\/d*18\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205277 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 45 + 19 + 26 - m + 27*m**3 + m**4 to the form y*m**2 + v + b*m**3 + u*m**4 + d*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 132, 216, 318, 444, 600, 792, 1026?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.25420158 rounded to 1 decimal place?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5.4, 0.5, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*k + 20797963 + 14845057 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 46 = 86. Solve 0 = g - p*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let b(d) be the first derivative of -3*d**3 - 9. What is b(y(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((66\/(-52))\/3)\/(461\/1844)?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-36)\/1314 - (-7693)\/1022)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**3 + 4*r**4 + 5*r**2 + 0*r**2 - 4*r + 0*r**2 + 7*r**2.\nAnswer: 4*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20785*h*r**2 - 4907*h*r - r**3 + r wrt r.\nAnswer: -41570*h - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-156)\/22 + (19 - 13).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:14 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 3*m**2 + 50*m + 3 + 3 + 5. What is the tens digit of n(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35780 or 35713?\nAnswer: 35713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02307 + 0.0268. Round d to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(85) + sqrt(85) + (3*sqrt(85) - sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85))*-5 - sqrt(85)) + sqrt(85))*-2)\/(-6*sqrt(15)\/sqrt(3) - 1*sqrt(405)).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122314800 is divided by 13694.\nAnswer: 13686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsrfrrjr. Give prob of picking 2 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * 0.13.\nAnswer: 15.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 23. Let i(u) = -3*u + 47. Calculate 2*i(k) - 5*z(k).\nAnswer: -k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, k: 3, p: 4}. What is prob of sequence pwkk?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -46688649?\nAnswer: 5\/46688649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*(3 - 3 - 2) + w + 0*w + w + 2 + 20*w - 2 - w - 1 + 1.\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 357421918 to the power of 1\/3, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1649648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 750487892?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004962 times -4?\nAnswer: -0.019848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -23890.66 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1.43 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1218)\/116)\/((-11)\/((-110)\/15))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 - 345 = 13*w + 4*f - 587, 202 = 4*w - f for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 252028243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**0*l)\/l)*l)**(20\/3)\/((l*l**(5\/6))\/l**(12\/7)) assuming l is positive.\nAnswer: l**(185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 258 - 256. What is the common denominator of 6\/11 and (-11)\/132*9 - m\/(-5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*d + t - 18, 5*d + t = -23. Let n(b) = 7 - 5*b - 22*b**2 + 21*b**2 - b. Let h be n(d). What is the greatest common divisor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 3*h**5\/40 - h**4\/24 - h**3\/3 - 32*h**2. Let k(m) be the first derivative of p(m). Give k(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 + -6 + (-1758)\/(-273).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546423 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3*b**4 - b**2)*(-7 - 25 + 5).\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13498.\nAnswer: 2, 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-6)\/8)\/(-1))\/(-12 - -6). What is the smallest value in c, 10, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 30 = -4*r, -2*r = -4*b + 2502 - 2478 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 10, x: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 381230 and 201995.\nAnswer: 27067330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 40512848*l + 102580678316944.\nAnswer: 4*(l + 5064106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 546 + 206 = 0. Suppose 3*o - s = -20. Let b(q) = 5*q**3 - 3*q**2 + 2*q - 2. Let z be b(3). Calculate the greatest common factor of o and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from gxegkikiweei.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7756, 59968, 201076, 475528, 927772, 1602256, 2543428, 3795736?\n\"Answer: 7408*p**3 + 356*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -201, -171, -139, -105?\n\"Answer: n**2 + 27*n - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -11.25. Let d = 1 - u. Let i = d - -0.73. What is i rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -4, 129, -25, 1 in descending order.\nAnswer: 129, 48, 1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12087107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 139. What is the smallest common multiple of b and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 773*r + 3. Let l(d) = 4433*d**2. Calculate p(l(i)).\nAnswer: 3426709*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b - 67. Let r(l) = l - 5. Let a(w) = m(w) + 2*r(w). Let t(d) = 3*d - 28. Let s(c) = 4*a(c) - 11*t(c). Let y(j) = 5*j + 2. What is y(s(h))?\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Let b be k(3). What is the third derivative of -3*o**2 + b*o**2 + 4*o**2 + o**4 + 0*o**4 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 493317552 and 24.\nAnswer: 493317552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16823, 67319, 151467, 269267, 420719, 605823, 824579?\n\"Answer: 16826*f**2 + 18*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -131131323 (base 4) to base 8\nAnswer: -353573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.2981, -0.1, -2.8, 0 in increasing order.\nAnswer: -2.8, -0.1, 0, 0.2981, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + i. Let g be j(1). Differentiate 2*h**2 - h**3 - 2*h**2 - g + 0*h**3 with respect to h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-90) - 6\/9. Sort j, -0.4, -7 in decreasing order.\nAnswer: j, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93092\/5 at most as big as 18618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 + 1384*f - 729400 = 0. What is f?\nAnswer: -1042, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(85)\/sqrt(5)*6.\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/4 - 2*m**3\/3 - m**2 + 6*m - 1. Is w(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 8*f + 44. Let u be m(-24). Let z = u + -769. Calculate the remainder when 99 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(5\/9860) - (2 - 5). Calculate the greatest common divisor of t and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*g, -5*j + 5*g = -10*j + 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010590615 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 458091883*j**3 + 72031254?\nAnswer: 1374275649*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-12 - -8) + -12*(-1)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/2)\/(810\/540))\/(-7*3\/621)?\nAnswer: 69\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/24*(-4)\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/251 - 737\/2008. Suppose 4*i = 3*i - 2, 0 = -3*c + 3*i + 21. Let o be c\/(-4) + 1 + 0. Is o greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4168?\nAnswer: 4168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 476*j**2 - 1830*j + 27380. Calculate r(-472).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/(f**(-10\/13)\/f))\/(f**(-38)\/f**(-12\/7)) assuming f is positive.\nAnswer: f**(3645\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-2)\/(-6)). Let g(d) = 4*d**3 - d**2 - 3*d + 2. What are the prime factors of g(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 8, c: 7, a: 2}. Give prob of picking 1 n and 2 y.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 62888715.65?\nAnswer: 62888715.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-2)*(-48)\/44?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*465\/(-12648))\/((-1)\/((-8)\/(-15)))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15*b = -1060. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*l = 3*l + 1846 + 5094. Suppose 0 = 2*d + 13 - 49. What is the least common multiple of l and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83486549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*z - 3, 19*z - 22*z = 4*b - 5. Solve -4*a = b*p + 12, 4*p + 16 = -9*a + 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/6*(2 + (-64)\/20). Suppose 0*w - 5*w - 10 = 5*q, -d*w - 22 = -3*q. What is the second derivative of 9*v**3 - 19*v + 1726*v**q - 1726*v**2 wrt v?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 1104222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 137476, 137475, 137474, 137473, 137472, 137471?\n\"Answer: -j + 137477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*h + 12 = 0, 2*n + 2*h + 2 = -2*h. Suppose -5*d - n = -4. List the prime factors of 39 + ((-6)\/(-9))\/(d\/3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1310\/1572 - (273\/36 - 0).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + ((-8)\/8 - 7))\/(-2). Let y(l) = l**3 - 2*l**2 - 20 - l**2 + 2*l**2. What is y(s)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 3. Let t = -6.8 + 6.5. Put -2\/3, y, t in decreasing order.\nAnswer: y, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19314 by -243.\nAnswer: 2146\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/517754 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 27772?\nAnswer: 388808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*a + 866, -2*a - 298 + 1192 = 4*n. Let y = 266 - a. Is y\/(-9) + (-2)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10818743\/12 equal to 901562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 0.36484?\nAnswer: -0.03516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 623. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 16518*d + 8161*d + 8038*d as x*d + q and give x.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*n*t**2*z + 7206*n*t - 3*t**2*z**3 - t**2 wrt z.\nAnswer: -52*n*t**2 - 9*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b0a62 (base 12) in base 3?\nAnswer: -22212012222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(1\/(-9)). Suppose -2*n + 2*h + 22 = 2*n, f*n - 5*h - 6 = 0. Suppose -n = -x - v - v, -5*v + 13 = 2*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 448*w - 451*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 17649.\nAnswer: 1764.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27835 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -107, -164, -223?\n\"Answer: -b**2 - 52*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 179\/4. Let z be (-130)\/150 + 1\/5. What is the nearest to v in 4, z, 2\/17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -148 (b) -4\/7 (c) -0.22 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 860024491.6299?\nAnswer: 860024487.6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42c9b - -2?\nAnswer: 42c9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 6425 - 1583*h**2 + 1584*h**2.\nAnswer: h**2 + 6500","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 2662*x - 55095. What is v(21)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3080 * 402.\nAnswer: 1238160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, t: 1, e: 8, q: 3}. What is prob of sequence qqle?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n*n**(-1\/3))\/((n*n**(-3\/7))\/(n*n**(-1\/5))) assuming n is positive.\nAnswer: n**(-158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 6. Let g(x) = 0 - 2 + 5*x**2 - 9*x**2 + 5*x - 3. Let o(t) = -2*t**2 + 2*t - 2. Let p(w) = -2*g(w) + 5*o(w). Calculate c(p(n)).\nAnswer: -8*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21)\/((v\/(v*v*v\/(v*v\/(v\/(v**(7\/3)*v)))))\/v*v)*(v*v**(-3))\/v**(-3\/16))**(-6\/7) assuming v is positive.\nAnswer: v**(1425\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8058 - 8059.4. Which is the nearest to 0.2? (a) -1 (b) p (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 5, -6\/13, 303, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/7 - 9718*q**4\/7 + 9724*q**3\/7 + 19440*q**2\/7 = 0. Calculate q.\nAnswer: -4860, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 18)*(6741 - 6741 + 35*t).\nAnswer: -980*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 67999700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47290519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-12 + 5 - 9))\/2 + 100*1\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105725 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2376*c - 564*c + 1 + 812*c to m*c + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20094 - 13427. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-66)*276\/(-8) and 549\/70 + 7\/(-49).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1677849*p - 191112 with respect to p.\nAnswer: -1677849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1936.19\nAnswer: 1936.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Let p = -6 + x. Let m = 2919 - 2915. What is the second smallest value in p, 0.1, 5, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 336, 685, 1054, 1443, 1852?\n\"Answer: 10*l**2 + 319*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 13 + 27. Let f be (s - 25)\/(2\/(2*1)). Let v be (-2*f\/(-18))\/(-1). Put 2, v, -2\/13, -2 in decreasing order.\nAnswer: 2, -2\/13, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c290 (base 16) to base 3.\nAnswer: 2112022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - b + 4*b)*(-b + b**3 + b) + 0*b**3 + 0*b**3 - b**4 + (-5*b**2 - 8*b**2 - 12*b**2)*(-b**2 - 2 + 2) - 2*b**4 + 4*b**4 + b**4.\nAnswer: 26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-7))\/(3\/(-3)*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -0.07. What is the closest to p in 2\/3, 4, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 2. Let p(y) = -360*y**5 - 12*y**2 + 233*y - 12. Let k(x) = 6*i(x) + p(x). Find the second derivative of k(n) wrt n.\nAnswer: -7200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 49 + 27)*(h + 10*h - 26*h).\nAnswer: -1395*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (12\/4 + 4). Let w(y) = -y**3 - 4*y**2 - y - 3. Let z be w(j). Solve -b - 2 = -z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364899.3 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.17*3.\nAnswer: -21.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*t - 2*x + 8, 4*t + 2*x = 0. List the prime factors of 12 + 12 + t*2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7\/d)\/d*(d*d\/(d\/(d*d*d**(-5\/3))))\/d)**44*(((d*d**0*d)\/d)**(-4\/21))**(6\/13) assuming d is positive.\nAnswer: d**(64040\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 104. Let s(k) = -k**3 - 21*k**2 + 5*k - 20. List the prime factors of s(w).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:14 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.1 or -59\/606?\nAnswer: -59\/606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -22 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.4 + -10.9. Let m = 1.2 + -1. What is the third biggest value in 1\/4, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5828631483.\nAnswer: 3, 1942877161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - 76*h**2 - 112*h + 1114. What is f(-23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-933)\/13995*(-24)\/2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 1:46 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a + 1695. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 22*q**2. Calculate v(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + -ec14d?\nAnswer: -ec132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 7 + 6)*(-l + 2 - 2) + 13*l + 4*l - 6*l - 5*l + l + 2*l + (3*l - 3*l + l)*(-1 + 4 + 1).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 14*m**3\/3 + 8*m**2 - 35*m + 68. What are the prime factors of l(-11)?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 > 40380\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 484 + 490. Suppose 3*p + 0*f = -4*f + w, 3*p = -2*f + 964. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Let d = z - -4. Which is greater: 0.5 or d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2081276 + -181276. Round i to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1807 + 1810 + (4 + -2 - -3) + 0 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 0.1, -1\/3, -43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/9*276\/2024?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -342 + 6?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*b = 10721073 - 10772481 for b.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + q**3 - 11*q - 6 + 20*q - 5*q - q**2 in the form a*q + c*q**3 + s + h*q**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-28) - 2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, q: 1, k: 3}. What is prob of sequence mqk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*n + 0 - 3*n + n**2 + 0*n to h*n + j*n**2 + s and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 8*f + 13*f = 0. Sort -18, f, 1.\nAnswer: -18, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 9*f**2 + 7*f - 6. Let l be n(-8). Suppose -6 = -l*i + 5*i. Find the common denominator of -49\/9 and (i\/(4\/(-134)))\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 6*r + 4*r)*(-1 + 0 - 1)*(r - 26 + 26) in the form f*r**2 + c + o*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.01, -4, -96, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(72) + sqrt(72) + -1 + sqrt(72))**2 + 3.\nAnswer: -36*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*a + 5 = 4*g, -3*g = -5*a - 15. Suppose 5*k - g - 5 = 0. What is the third derivative of -z**2 - 4*z**2 + k*z**6 + 3*z**2 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + 3 + -2. What is the common denominator of a + (-84)\/8 + 4 and 0 - ((-344)\/114 + 14\/42)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242158923.\nAnswer: 3, 811, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12684*a + 15. Let g(n) = 14*n**2. Calculate c(g(o)).\nAnswer: 177576*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 - 7*j**2 + 19*j - 5. Is a(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -9ac9806?\nAnswer: 9ac97cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*b**3 - 31*b**3 + 72*b**3 + 382 wrt b.\nAnswer: 486*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(512) - -5*1*sqrt(11)) + -1.\nAnswer: -1 + 41*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.2. Let y = -1.5 + 1.5. Let r = -1.01 - -1.31. What is the biggest value in r, o, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 49*h + 406 - 46. Let u = 45 - 13. What is the highest common divisor of u and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3238999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-14 - -13) - 17 - (0 - 6)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/51, 53, 2, 6 in increasing order.\nAnswer: -2\/51, 1, 2, 6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -467.155 + 0.155. Let m = o - -466.9. Which is the third biggest value? (a) m (b) -0.3 (c) 0.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5131.7686 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*i = -370*i. Find t, given that -8*t**3 - 4\/3*t + 16\/3*t**4 + 16\/3*t**2 + i - 4\/3*t**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-22)*27\/(-18)*116\/24?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 2*2403\/(-60). Let r(v) = 3*v - 66. Let p be r(-5). Let h = s + p. What is the biggest value in -2\/11, -1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -799 less than or equal to -804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -389, -3 in decreasing order.\nAnswer: -2, -3, -4, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-35) + 1\/7*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeek when four letters picked without replacement from {k: 8, z: 8, e: 4}?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11096*g**2 + 19*g - 8. Let n be h(8). What is n rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 871.5809502 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221 (base 3) in base 10?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 7*a**2 + 4*a + 6. Let s be f(-4). Suppose -155 = c - s*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 + -4.3. Let k be (2\/(-114))\/(1\/(-31)). Let g = -4\/19 + k. Which is the nearest to 2\/5? (a) -1\/5 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 5:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d + 2*n + 177 = 0, 4*d - n = 231. Suppose d*g = 58*g - 5155. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.638 nanometers to millimeters.\nAnswer: 0.000034638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 2*j - 3. Let d be m(-2). Let h = 15 - d. Suppose 68 = 2*z + h*p, -z + 3*p + 14 = -p. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -36. Let b(j) = j**3 - 5*j**2 - 5*j - 6. Let o be b(v). Suppose 2*a - 176 = 5*c, -5*c + 8 - 18 = o. What are the prime factors of a?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 - 6*p**2 + 41*p + 2. Calculate t(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63714, -63599, -63484?\n\"Answer: 115*q - 63829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let q(k) = k**2 - 6*k - 9. Let d(u) = -6*b(u) - 3*q(u). Suppose d(z) = 0. What is z?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u + 8. Let l = 332 - 330. Let j(t) = t**l + 1530 - 1530. Determine j(x(y)).\nAnswer: 25*y**2 + 80*y + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 1, w: 2, k: 3, a: 1, o: 1}. What is prob of sequence tk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -71, 4, -1 in increasing order.\nAnswer: -71, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let k(o) = 59*o + 1. Calculate h(k(n)).\nAnswer: 59*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 71*p**2 + 8*p + 5. Let a be m(-1). Suppose 77*r = a*r. Determine c, given that 0*c**2 - 42\/5*c**4 + 3\/5*c**5 + 0*c + 147\/5*c**3 + r = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23307765 - -7?\nAnswer: -23307757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/39383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 2*b + 25*b**3 - b.\nAnswer: 25*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 122021 (base 3) to base 12\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -244, 4, 8, 41 in decreasing order.\nAnswer: 41, 8, 4, -3, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 - 3*o - 1. Let h(u) = -3*u**3 + 4*u + 1. Suppose -4*p - 227 + 215 = 0. What is p*h(m) - 4*q(m)?\nAnswer: -7*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67681009 by 101.\nAnswer: 670109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-54)\/9 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 38. Suppose 5*x + 5 = 0, -4*p - 5*x - i = -9*p. Let t = p - 0. Solve -2*y + 3 + 1 = 0, 4*q = -t*y + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7035185 rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001297569 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1191 divided by 22\nAnswer: 1191\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.60091s to minutes.\nAnswer: 0.2433485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -22. Let p = 8.1 + f. Let u = -2\/49 - 43\/147. Which is the third biggest value? (a) p (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 12.07. Let k = -0.37 + z. Let q = 0.4 - -0.1. Which is the closest to -1? (a) q (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 25. Let p be m(11). Let k be (p\/(-30))\/((-48)\/(-280)). Let 10\/9*r**5 + 14\/9*r**4 - k*r**2 - 2\/3*r**3 - 4\/9*r + 0 = 0. Calculate r.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4734 + -9.4734. Let w = -0.2 + -0.3. What is the third biggest value in w, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122571 - -574571. Round g to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379166 is divided by 47557.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.780391ml to litres.\nAnswer: 0.007780391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) 7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g - 2*g + 12*g + 3. What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 6*z + 9. Let j(o) = o**2 - 2*o - 3. What is 8*j(s) + 3*t(s)?\nAnswer: -s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 + 0*a**4 - 2*a**4 + (a - a - a**4)*(1 + 4 - 3) + (-8*a**3 - 28 + 28)*(-3*a + 3*a + a) in the form g*a**2 + l*a**4 + h*a + i + u*a**3 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o + 12 = 2*d, -4*d + 16 = 4*o. Solve -v - 3 = -5*p + 4, d = -4*p - 2*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*j + n - 157 = 197*j, 4*j - 607 = 3*n. Solve 0 = -141*h + j*h - 65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/368 + (-1)\/(-2). Which is the nearest to t? (a) 4 (b) 0.5 (c) -3\/4 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 38 = 4*l. Suppose -18 = -t - 40. Let y = l + t. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2. Let t(u) = 6*u + 16. Suppose y - 64 = -3*y. Let l(n) = -n - 3. Let h(p) = y*l(p) + 3*t(p). Determine h(r(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 9*i**2 - 11*i + 14. Let h be p(10). Let x = 36644\/3 - 12214. Let 10\/3*n - 10\/3*n**3 - 8\/3*n**h + 2*n**2 + x = 0. Calculate n.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -32*g**2 + 2*g + 114. Let h(p) = 65*p**2 - 3*p - 225. Let f(r) = 3*h(r) + 5*m(r). Find the second derivative of f(d) wrt d.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 693180 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:36 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889421.6kg to nanograms.\nAnswer: 889421600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - 32 - (-1 + -4 + 19 - 5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 6 - 2 - 5. Suppose 5 = -h - 0*h. What is z(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 56252\nAnswer: -1\/14063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6647498 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -24 - 12. Let x be (-12722)\/(-4) + j\/(-12). Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*s**2 + 14*s**3 - 143*s**2 + (-3*s**2 + 3*s**2 - s**2)*(-17 - 10*s + 17) to c*s**2 + x + a*s**3 + k*s and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**8\/1680 - g**5\/60 - g**4\/12 - 4*g. Let c(n) be the third derivative of a(n). What is the derivative of c(j) wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 25270 = -13*q. What is q rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a factor of 11766177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17194 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/48)\/(-11)*6\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 185 = -185. Let m = h - -122. Let b = m - -105. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555*n**2 + 357*n + 12 wrt n?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 18608646?\nAnswer: 18608646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.4, 0.005, -1?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 6.7. Let v = -1.43 - -1.83. Suppose -9*n = -0*n + 9. Which is the biggest value? (a) v (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11791, 95394, 322313, 764206, 1492731, 2579546, 4096309, 6114678?\nAnswer: 8706311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 10:02 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -3 (c) 17208 (d) 8\/3 (e) 145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 50624259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 8*p + 4*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 702, 1508, 2422, 3444?\n\"Answer: 54*y**2 + 644*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73728\/13 or -5672?\nAnswer: -73728\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 100*d**2 + 3*d + 100. Calculate j(-50).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2633 + 2234 - 803)*(-1 + 1 + 2 - 3*d) as g*d + o and give o.\nAnswer: 8128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1837907, 1837871, 1837835, 1837799, 1837763, 1837727?\n\"Answer: -36*l + 1837943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 2*x + 3)*(-3*x**3 + 0*x**3 + 3*x**4 + 4*x**3).\nAnswer: 6*x**5 + 5*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 4*s**2 - 8*s**2 - 5*s**2 to the form n*s**2 + a*s + d and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-8 + ((-1818)\/(-260) - (281 - 282)))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 3348*m + 65374. Calculate v(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000180487 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (sqrt(144) - sqrt(144)*1 - sqrt(144))) + sqrt(144) + sqrt(144))\/sqrt(9))\/(-1*(sqrt(2) - (sqrt(2) + sqrt(256)\/sqrt(8) - sqrt(2)))).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**3 - 16*l**2 + 16*l. Let d be (8\/6)\/(6\/(-72)). Let t(c) be the first derivative of c**4\/4 + c**3 - 3*c**2\/2 - 11. What is d*t(j) - 3*u(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122993 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + -10 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 - -715. What is the smallest common multiple of 24 and u?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 7*b**2 + 4*b**2 - 2*b**2. Let g(w) = -2*w**2. Determine r(g(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let i = -4330 + 4469. Suppose 3*o + f - 1121 = 0, -r*o + 3*f = -i - 601. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i)**(-5\/2)\/(i*i**(-4)*i*i*i)**(-2\/65) assuming i is positive.\nAnswer: i**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4\/5 - 809568*g**3\/5 + 54615885978*g**2\/5 + 109234200672*g\/5 + 54617505123\/5 = 0?\nAnswer: -1, 134929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -429 - -429. What is the closest to n in -0.5, -12\/5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 - 16*a**3 + 6*a**3 - 3*a**3 + a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose -15 = 4*p - p - 5*q, o = -p + q. Solve -2*l + 7*l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10))**(1\/19)*(w*((w\/w**4)\/w)\/w*w)\/w**7 assuming w is positive.\nAnswer: w**(-200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:55 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2*j**3\/3 - 19*j**2 + 2*j + 23. Let i be v(19). Suppose 8*p = i*p + 48. Calculate the highest common divisor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553205845 is divided by 113?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12*n - 1840 = 0. Let r = -2528\/11 - n. Factor 14\/11*q - 10\/11*q**2 - 6\/11 + r*q**3.\nAnswer: 2*(q - 3)*(q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o - 66*o = -167422. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/93 and -28\/37?\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from dcddcddd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1207*h**2 + 3270*h + 10221917?\nAnswer: -2414*h + 3270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18670.3 + 18670. Which is greater: 514\/9 or z?\nAnswer: 514\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-4123)\/588 + 7). Calculate the highest common factor of x and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/44198 and -17\/9520896.\nAnswer: 390356736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 6, c: 1, u: 2, s: 7}. Give prob of picking 1 u and 2 s.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703 - 3*q**3 - 703.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 127184 = -6*d + 10*d, -4*q + 3*d = 127185. Round q to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 - 4*j + 63. Give m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*u + 150*u - 38 = 0. Suppose s = -361 - 246. What is the remainder when (-4)\/22 + 0 - s\/11 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152472 = 1708*b + 179800 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -454?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/3))**(2\/7)\/(n\/(n*n*(n*n**0)\/n))**45*((n\/n**5)\/(n*n*n**(-5)*n))**6 assuming n is positive.\nAnswer: n**(697\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14597 + 16031. Calculate the remainder when r is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3436429 or -1.93?\nAnswer: -3436429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2298.7 + -2298. Let i = -29 + 45. Let l = i + -21. Which is the closest to j? (a) 3\/4 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380 + 382. Suppose i + 3 = 2*i. Suppose i*f + v - 6 = x, -5*f - 10 = -3*v. Put 53, f, 2 in descending order.\nAnswer: 53, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -43*l - 7. What is t(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1513)\/(-51))\/((-25)\/15)*(-62 + 57)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = d, 5*d = 3*c + 5 - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-7)*n))**(1\/4)*(n*n\/n**(-4\/5)*n)\/(n**(-16)\/n) assuming n is positive.\nAnswer: n**(451\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/7)*y*y)**(-4\/13)*(y\/y**(-2\/35))\/(y*y**(-1\/4)))**(2\/23))**(5\/18) assuming y is positive.\nAnswer: y**(-961\/75348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*c**(12\/11)*(c**(3\/4))**(-1) assuming c is positive.\nAnswer: c**(279\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = z + 3*z. Are -11 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = 55. Let g(y) = -y**3 + 12704509*y - 12704527*y - 2 + 3 + 14*y**2. What is the tens digit of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Let q(s) be the first derivative of -13*s**2\/2 - 39*s - 436. Determine q(f) + 39*z(f).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + 1 + 3. Let x(c) = -7*c + 2 + 0 + 0 + v*c. Calculate x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4)*(k*k*k**(-1\/6))\/k)**(-24)\/((k*k**(1\/2))**11*((k\/k**0)\/k)**(2\/61)) assuming k is positive.\nAnswer: k**(-313\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.56 and -1.7?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/12 - s**3\/3 - 2*s**2 - 5*s. Let a be z(4). What is the remainder when 183\/a + 1\/4 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14428 by -3607.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1728*m - 1726*m + m**3 - 3 + 0*m**3 to the form p*m**2 + n + l*m + w*m**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54295348105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13162 * -0.14\nAnswer: 1842.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9290 (base 10) in base 15?\nAnswer: -2b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6145 + -1037?\nAnswer: -7183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-47 + -25))\/(4 + 24\/(-9))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a41 + 51a61?\nAnswer: 51020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.6. Let t = u - 2.1. Let a = t + 2.10000065. What is a rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h*y**4 + 63*h*y**2 + 2*h*y + h + 65*y wrt y.\nAnswer: -72*h*y**2 + 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 139480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cczm when four letters picked without replacement from {z: 1, m: 4, c: 2, a: 8}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397 - 395. Let v(j) be the first derivative of 5*j**3\/3 - j**2\/2 - j - 3. List the prime factors of v(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:08 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 21*f + f.\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 + 0 = 4*a, -5*h = -4*a - 18. Suppose h*v + 19 = -7. What are the prime factors of 3 - 4 - (v - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-370)\/2*40\/50. Is u less than -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - -0.2. Let f(a) = 2*a - 12. Let v be f(8). Suppose 9*j - 2*u = v*j - 15, 5 = u. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*1*5)\/(sqrt(125) + (sqrt(125)*2 - sqrt(125)) - sqrt(125)) + -5.\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/33)*s)\/s**(-4))**26 assuming s is positive.\nAnswer: s**(4316\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.61 - 0.21. Put -5, p, -0.4, 2 in descending order.\nAnswer: 2, p, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 497*c + 262. List the prime factors of i(10).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20250528 and -0.2?\nAnswer: -4050105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (0 + 1)) + 1. Suppose 2*l - 16 = -4*j, l - t*l + 16 = 4*j. What is the first derivative of 1 + 0*h - h + l wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2961*v**2 - 946*v**2 + 1585*v**2 - 1538*v**2.\nAnswer: -3860*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 484 + -102. Is (4 + (-3 - 0))*m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -656, 3\/7, 1 in decreasing order.\nAnswer: 1, 3\/7, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2. Let h(n) = -3 + 1 - 46*n**2 + 2 + 7*n**2. Calculate q(h(k)).\nAnswer: 4563*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/23514 and 89\/8339632.\nAnswer: 25018896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + -12?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 103*p. Let m(j) be the second derivative of 0*j**3 - 1\/6*j**4 + 0*j**2 - 41*j + 0. Determine m(u(t)).\nAnswer: -21218*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqkqqqdqqqqkqkbqqqq. Give prob of picking 1 d and 2 q.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -62, -124, -256, -482?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*k - f, 2*f + 4 = k - 2*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/((t*t**(-2\/3))\/t))**44)**(-29\/2)*((t*(t\/(t\/(t*t**(2\/5))))\/t)\/t)**(1\/30)*((t**3\/t)\/t)\/t**(-1) assuming t is positive.\nAnswer: t**(-58433\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26372 - -50304. What are the prime factors of c?\nAnswer: 2, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6256*m**2 + 6253*m**2 + 187 - 268.\nAnswer: -3*m**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286)*-2)\/sqrt(11))\/(sqrt(24)\/(sqrt(12)*2)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {x: 3, s: 5, i: 1, h: 6, e: 1, o: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*b*w**2 - 14*b*w + 55*b*x + 2*w**2*x - 11*w**2 + 3*w - 44*x wrt x.\nAnswer: 55*b + 2*w**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26416 - 26306. Solve -26*r + 72 + c = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29695 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*a - 14*a + 988. Calculate the greatest common divisor of 65 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 + 2*i + 11. Let z(n) = -3*n**3 + 9*n**2 + 5*n + 31. Let v(u) = 11*o(u) - 4*z(u). Determine v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/35 at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*-1 + sqrt(156) + sqrt(156))*-2) - sqrt(156))\/sqrt(12).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 - 41*w - 40 = 0.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:42 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11411 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 = 0, -23848 = -2*h - 5*r + 4*r. What is the highest common divisor of h and 530?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1794162, -1794163, -1794176, -1794207, -1794262, -1794347, -1794468, -1794631?\nAnswer: -1794842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 0.373.\nAnswer: -0.02611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 583 + -542. Suppose -3*y = -5*y - 6. What is the remainder when h is divided by 16 + y + 1*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + ((-121)\/(-11) - -11 - 13 - (2 + 0))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -314.1508 times -19\nAnswer: 5968.8652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -340242 less than 0.9?\nAnswer: 340242.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from vdoooojvwggod.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2001\/(-92))\/87)\/(625\/(-40)).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 82283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 3*g + 7. Let k be n(-4). Suppose -5*y + y = -264. What is the greatest common factor of y and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 4*b + 5*b + 0*b**2 + 2*b**2 - 6*b**2 + 22*b.\nAnswer: -4*b**2 + 23*b + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-1 + -4) - 3. Solve l*g + 8 = 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(1573) + -3 + -4 + (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 1 + -3)))**2.\nAnswer: 55*sqrt(13) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:59 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -6) + 236 + -228 - -92) + -16?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3752239 (base 11) to base 10\nAnswer: 6518191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-6) + (-3783)\/2619?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -39. Suppose 0*v - 5*v + 5 = 0. Suppose -4*h - h = -3*o - 57, h + m*o - v = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.91 - -20.769. Let n = u - 11.989. Let i = -9.7 - n. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*y - 30 = 0, 5*y = f - 5718 + 5678. Solve 4 = -5*t + 4*w + f, 30 = 5*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 19 - (7 - 2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.076, -1\/124, -1.5, -0.1?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.303 - -216.697. Let r = x - 105. Let f = r - 119.3. Round f to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 times -0.6?\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(2 + 4))\/((-3)\/(-66)) - -1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/3*8\/(-12). What is the smallest value in x, 0.1, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z - 1. Let s(h) = h**3 + h**2 + h. Let j be 2\/(-4)*22\/(-11). Let d(x) = -4*x**2 - 5*x - 1. Let w(n) = j*d(n) + 5*s(n). Determine w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(128)*3)**2*-4 - -4*(sqrt(128) + 3 - sqrt(128))))*-3 + -3.\nAnswer: 13788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3018.2 and -10.4833?\nAnswer: 3028.6833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) - 419*-7271. Let t = 48724593\/16 - k. Let g = t - -1263. Calculate the common denominator of g and -99\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(3\/50)\/((-12)\/(-24))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2017 - 2043.776. Let l = v + 27.3. What is l rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 2*m**4 + 2886*m**2 - 1434*m**2 - 1439*m**2 to the form u + b*m**4 + z*m + s*m**2 + y*m**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -23. Find the third derivative of 0*k**5 - 3*k**2 + j*k**5 - 3*k**5 - 11*k**5 wrt k.\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/12 + 5*t**3\/6 + t**2 - 4*t. What is the remainder when p(-7) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 13*f = 5. Let j = 0 - 0. Let s = 1 + j. Solve 4*y - s = -f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -53*z**2 - 52*z**2 + 103*z**2. Let n(l) = -4*l. What is y(n(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11469\/13 or -883?\nAnswer: -883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -0.4. Let t(z) = -z**3 + 30*z**2 + 101*z - 61. Let u be t(33). Let y = 7\/32 + -3\/32. What is the third smallest value in y, 4, c, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 11*y)*(6 - 5 - 7).\nAnswer: 66*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/111 (b) 3\/8 (c) 2\/9 (d) -290 (e) -5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*h + 10, -2*j - h + 0*h - 6 = 0. Are 1\/4 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v**3 - 2*v**2 + 2*v - 2. Let u(m) = -m**2 + 15*m - 25. Let y be u(12). Let c(d) = -85*d**3 - 11*d**2 + 11*d - 11. Calculate y*i(r) - 2*c(r).\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 9*h - 14. Let k(v) = -2*v**2 - 17*v + 27. Let j(q) = -3*k(q) - 5*r(q). Let b be j(-8). Let x(o) = -o**2 + 4*o + 1. Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(1\/22)\/(w**(-5))**37 assuming w is positive.\nAnswer: w**(4077\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 5*c + 3. Let k be x(5). Sort -2, 4, k in decreasing order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8141, -32584, -73321, -130352, -203677, -293296?\nAnswer: -399209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(2\/14). Let c = 9 - p. Suppose -5*u - 25 = j, c*j - 4*u + 10 = -6*u. Solve j = 3*g - 8 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 12:21 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436660144?\nAnswer: 2, 27291259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 + 15 = 3*c, l - 20 = -4*c. Suppose 4*d - 5*z - 33 = 3*d, l = 5*d + z - 61. Find the second derivative of 6*g**3 - d + 13 + 4*g + 2*g**3 wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - (-8 + 17 + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*h - 26, -209*h + x + 124 = -217*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z = -c + 142, 2*z + 4*c + 48 = 0. Let y = z - -38. Calculate the least common multiple of y and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 160 = 7*v. Let c be ((-65)\/(-15) + -4)*-105. Let a = c - v. Is 19\/5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1843 - -1898. What is the remainder when 201 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**2 + 400*v + 15. Let x be d(-19). Sort 6, -0.5, x, -0.2, 7 in decreasing order.\nAnswer: 7, 6, -0.2, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(2\/23))\/s*s)\/s**(-9))**9*(s\/(s**2\/s))**(2\/15)\/(s\/(s*s**(-1\/2))*(s\/s**(2\/23))\/s) assuming s is positive.\nAnswer: s**(4499\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*t - 66 + 79, -5*t = -4*p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 5. Let i be v(6). Suppose 77 = 5*x + i. What is the tens digit of ((-8)\/x)\/(2\/(-51))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1326\/7, 3, 1\/2, -0.1, 2\/11 in increasing order.\nAnswer: -0.1, 2\/11, 1\/2, 3, 1326\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15 - (-10)\/(-25)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -945.14 and -1.\nAnswer: 945.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7556 divided by 11.\nAnswer: 7556\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*c - 40*c + 65*c)*(3 - 4 + 3) to m*c + g and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20331\/2504 - 7\/1252. Let q = -1 - -4. Find the common denominator of m and (-3)\/q + 27\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325 (base 6) to base 3\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:17 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/20)\/((-1)\/(-5)). Let p(z) = -2*z - 5. Let f be p(d). Suppose 25 = c - f*v, c - 3*c - 3*v = -68. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 11*x**2 - 4*x + 12. Let t be j(-7). Let c = -183 + t. Solve c*r = -0 + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 119730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + r - 3885 = 0, -6*r + r = 3*d - 2309. Let b = -444 + d. Suppose 0 = x + 5*a - b, -2*x + a + 271 + 364 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8217 is divided by 122?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2373 - 4?\nAnswer: 236c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546414 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 42 = 11*u. Let f be (-1*3)\/(((-21)\/18)\/u). Let v be ((-6)\/10 + 0)*-15. Calculate the highest common divisor of v and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.14 (c) 3 (d) 1 (e) 397 (f) 46 (g) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -h + 41, 0 = -10*h + 6*h + a + 122. Calculate the remainder when 91 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 127*x - 136*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*y**5 - 5*y**3 - 439*y wrt y?\nAnswer: 240*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2845*s = -594*s - 162072 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/4 + 1311*y**4\/4 - 5267*y**3\/2 + 11871*y**2\/2 - 27*y\/4 - 35613\/4 = 0.\nAnswer: -1319, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - m**3)*(-3 + 3 - m) + 3036*m**4 - 1507*m**4 - 238*m - 1512*m**4 as v*m**4 + d*m + f*m**2 + o + r*m**3 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0.5. Let g = -0.7 - n. Let o = g + 4.8. Which is smaller: o or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6194\/5 + 130324\/105. Suppose -t + 268 = 2*l, 5*t + 35 + 209 = 2*l. Calculate the common denominator of 2\/6 + (-1034)\/l and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288919 plus -283405?\nAnswer: 1005514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 159*s + 6. Let o(r) = -159*r - 4. Determine 2*i(u) + 3*o(u).\nAnswer: -159*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 17, 10, -1, -16, -35?\n\"Answer: -2*l**2 + 3*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13096, -53412, -120606, -214678?\nAnswer: -335628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 436288 (base 14) to base 5\nAnswer: 1041033040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/2 + 0. Let p = 13 - 14. What is the smallest value in -0.1, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 15*k**2\/2 - 10570*k\/3 - 2350\/3 = 0.\nAnswer: -2\/9, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/23? (a) 1\/106 (b) 0.2 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 29 - 55 + 149 + 60.\nAnswer: 4*a**2 + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y + 2. Suppose 5*h = 5*q - 4*q + 5, -3*h - 3*q = 15. Let w be d(h). Factor 8\/11 + 0*m - 2\/11*m**w.\nAnswer: -2*(m - 2)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6142870 and 2140?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x - 24 = 0. Let d = 11 - x. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13966345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.275 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:19 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6760)\/(-1118) + -4*(-2 + (-21)\/(-6)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-10)\/n))\/n**(-9) assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - y**3 - 4*y**3 + 2*y**2 + 3 + 2*y**3 as h*y**3 + r*y + a + l*y**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-27 - 96 + 19)*(29*z**5 + 35*z**5 - 7*z**5).\nAnswer: -5928*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29866471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 19*s**3 + 14*s**2 - 8. Let q(c) = -c**3 + 2*c**2 - 1. Let m(i) = 6*q(i) - u(i). Let f = 13 - 4. Calculate the remainder when m(-1) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -1881*m**2 + 9237*m\/5 + 168\/5 = 0. What is m?\nAnswer: -56\/3135, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/5, 14, -0.11, 125 in descending order.\nAnswer: 125, 14, -0.11, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224578769 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747060.\nAnswer: 2, 3, 5, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 + 14 = 0. Let j(d) = 299*d**2 + 359*d**c - 706*d**2. Let b(n) = n**2. Calculate b(j(t)).\nAnswer: 2304*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/(-21))\/2)\/(4\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522 <= 6521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 5, 7, 9, 11, 13?\n\"Answer: 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/15)\/((-30)\/(-100)). Let d = 33 - s. What is the remainder when d is divided by ((-5)\/1)\/((-6)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12585 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 + r - 8. Let s be c(-2). Let p = s + 29. Calculate the highest common divisor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5)*3 - (-103 - -103). What is the nearest to 1\/8 in -0.4, -4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-462)\/(-1188))\/((-21)\/(-45)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 6*z = 132. Let x = z + 65. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4 = x + 32, 3*x - 6 = -3*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95880 divided by 5.\nAnswer: -19176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 654684 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -42*h**2 + 30. Let v(k) = -213*k**2 - 212*k**2 - 209*k**2 + 637*k**2. What is s(v(l))?\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -30258\nAnswer: -49\/30258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4 + -2)*3\/(-15). What is the smallest value in 0.3, 1, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -259211, -259192, -259159, -259112, -259051, -258976?\n\"Answer: 7*n**2 - 2*n - 259216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 181057 + -4526421\/25. Let m = 0.2 - -0.2. Let d = -0.2 + m. Which is the smallest value? (a) p (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 829?\nAnswer: 6632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1748 < -103166\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 430 - 15190 = 0. Let x = -1844\/3 - o. Determine f so that x*f**2 + 2\/3 - f = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 13) in base 11?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(270)\/sqrt(10) + -4)**2.\nAnswer: -129 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22532*n = -22672*n + 3500 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777, -1337, 267, 6111, 18271?\nAnswer: 38823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1*70\/(-6)*(-7488)\/28080.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2688)\/(-27))\/(-28))\/(72\/(-162)*(-2)\/(-4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4 + 16. Let a = 3 - k. Let n be 0\/(-1*(-2)\/a). Is n <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 125\/4. Sort b, 1\/3, 4 in decreasing order.\nAnswer: 4, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-72)*0\/(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -36.4.\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*l - 284, -4*s = -204*l + 205*l + 80 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, a: 2}. What is prob of sequence dg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6) - 717\/(-9). Let n = 56 - r. What is the third biggest value in 1, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/7 + 2232\/252. Suppose 10 = -4*n + 34. Calculate the highest common divisor of g and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*i = -86*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 + 9.1. Let r = -0.041 + -8.959. Let s = f + r. Put -4, -0.4, s in increasing order.\nAnswer: -4, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2155238 to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211047 is divided by 3459.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-8)*14\/(-49))\/((-138)\/243984*-68)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -53102.\nAnswer: 265510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + 2*n**2 - 1. Let b be o(1). Let a be 0 + 2\/(-3)*b. Differentiate -a + 4 + 0 - h with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 2 k when four letters picked without replacement from ukrrkrkkruuurrprru?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 16?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p - 111 = 33*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-65)\/3*(-1104)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*x + 12, 4*m = 5*x - 26 + 5. Suppose -x = 3*f - 2*d - 41, 4*f + d = 46. Solve -3 = -5*b + f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 708238.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8558.\nAnswer: 2, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25573 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3 - -3) + 4\/(-6). Suppose l*o = 2 + 10. Find the third derivative of -g**4 + 10*g**4 + 0*g**4 + 13*g**2 - 6*g**o wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000829271452 to seven decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoa. What is prob of sequence aaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, 2\/3, -1094, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -4\/9 (b) -0.4 (c) -4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 152.223 (c) -3\/4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2*b + 1. Let y be v(3). Let k = y - 4. Find the first derivative of k*u - u + 0*u + 1 wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2 - 14*k - 8. Let j(r) = -8*r**2 - 15*r - 9. Calculate 5*f(z) - 4*j(z).\nAnswer: -3*z**2 - 10*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16 + (-122918455)\/(-1936) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11197 - -11296) + (-1 - 106)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 945, 1889, 2835, 3783, 4733, 5685?\n\"Answer: o**2 + 941*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -7 + 0 - (215 + -48)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + 4 + 12 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.8527 minutes to seconds.\nAnswer: 47031.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*5*(-3)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*i**2 + 24\/13*i + 0.\nAnswer: -2*i*(i - 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89626385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69892687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - b + 6 = 0, -4 = -3*i + 3*b - 2*b. Let y = i - -3. Suppose -4*a = a - 2*v - 76, a = -y*v - 1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22950553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39699 - -1.2.\nAnswer: -39697.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-10))\/((-10)\/25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 10 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3.19, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7760766, 7760773, 7760782, 7760793, 7760806, 7760821, 7760838?\nAnswer: 7760857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 23158873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -308, 0.3, 3\/2, -2, 1\/3 in ascending order.\nAnswer: -308, -2, -2\/3, 0.3, 1\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - i**2 - 74*i + 22. Give x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:47 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2872496.4ms?\nAnswer: 47.87494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/315 and 10\/74847.\nAnswer: 7858935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 2. Let n be 6 + 2 - (12\/(-14))\/((-339)\/1582). Solve -d*w + 4 = -0*w - o, o = -5*w - n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - u**4 - u**5 + (-3*u**4 - 6*u**2 + 6*u**2)*(1 - 4 + 5)*(3*u + 8*u + 0*u).\nAnswer: -67*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*-1*sqrt(224) - sqrt(224))\/((sqrt(168)\/sqrt(3))\/sqrt(7)))\/(1*(sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(16)\/sqrt(4) - sqrt(4) - sqrt(4)))*-2))*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:59 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101061423*u**2 + 51291083?\nAnswer: 202122846*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 + -1)\/2 + 1. Suppose -4 + h = 3*f. What is the lowest common multiple of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 2, s: 4, j: 1, a: 6}. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8374777 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4 + 4)*(3*u**2 - 3*u**2 - u**2) - 7*u**4 + 12*u**4 + 7*u**4 - 2*u**4 - 2*u + 2*u - 2*u**4 + 3*u - 3*u.\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 1985 = -14*h. Suppose -6*b - h + 385 = 0. Which is smaller: -20\/19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*f = 200, 0 = -17*v + 15*v - 5*f + 198. Let g be (-39)\/v - (-21)\/(-8). Let u(t) = 13*t**2 + 5. Let m(l) = -7*l**2 - 3. Determine g*u(c) - 5*m(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 14*q + 9. Suppose 5*d = 5*a - 25, 94*d - 98*d = -a + 23. Calculate u(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.2 - -1.8. Let n = h + -10.1. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 8*r - 8. Let u be n(-7). Let y be u*((-8)\/1 + 3). Suppose -y*z = 3 - 23, -4*v + 5*z = 0. Solve 5*i + 12 = -4*s, -3*s = v*i - 8*s + 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/27 and -38\/11.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 738 and 10.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 146400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 3*l - l)*(-2*l**2 + 3*l**2 + 2*l**2) + (-9*l + 4*l**2 + 9*l)*(l + l + 0*l) - 15*l**3 + 16*l**3 + 10*l**3 as x + y*l**3 + m*l + i*l**2 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2137 - 2157. Which is greater: j or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -181*9\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.18 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606421135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -2*p + 299. Let l = 73 + p. Solve -2*b + l = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*y**3 - 143*y**2 wrt y?\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = w - 27349, -w = 3*j + 4*w - 27365. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*6.28\nAnswer: -12.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-210)\/(-60) + (-85)\/30. Let u(d) = -d**3 - 6*d**2. Let o be u(-6). Which is the nearest to o? (a) 1 (b) y (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 3. Let y(z) be the third derivative of z**4\/24 + z**3\/6 + z**2. Let k(a) = -s(a) - 2*y(a). Let g be k(-8). Is g equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soo. Give prob of picking 1 s and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m. Let c be -1*(5\/(-5) + 1). Suppose -3*u = -c*u. Let w(g) = u - 5 + 5 + 2*g. Determine w(o(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 328 - 1857. Calculate the greatest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145505 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1035 = 1117. Calculate the remainder when r is divided by 106.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23291 + -23163. Solve 123 = s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1778081, 3556253, 5334425?\n\"Answer: 1778172*t - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 12 in descending order.\nAnswer: 12, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.212 + 0.222. Let y = 0.08 - 0.07. Let a = y - p. Put a, 0, -0.5 in increasing order.\nAnswer: -0.5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/(-186)*12\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.85? (a) -0.4 (b) 70 (c) -0.1 (d) -26 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-350)\/30 + 11). Let j = 107\/470 - 6\/47. Which is bigger: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.926819 - 0.3?\nAnswer: -228.226819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s - 9 + 346*s**2 - 367*s**2 - 20 wrt s?\nAnswer: -42*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83509*3.\nAnswer: 250527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 2094*g = 2091*g + 9, 5*g - 8 = 3*f + 42 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, 3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -17. Let o = y + 16. Sort o, 1, 0 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + n = 2 + 3, -4*n = -2*w - 20. Suppose w = -l - 3*m - 7, 2*l + 4*m = -0*m - 6. Suppose -2*t + 6 = -0*t. Sort -5, t, l in ascending order.\nAnswer: -5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6165, -6164, -6163?\nAnswer: -6162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-130000)\/(-260))\/250)\/(1\/(-71))\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.891682 rounded to two decimal places?\nAnswer: 25.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + 0)*-2.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) + -3 + 1)**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2287931 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (324 - 324 - 9932*u - 19723*u**2 + 9932*u)*(-2*u + u - u) in the form w*u + m*u**3 + a + y*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/77 (b) -6 (c) 2\/3 (d) 0.3 (e) 0.1 (f) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12893734 to the nearest integer?\nAnswer: 3591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/(-1175)*(-65)\/(((-6)\/3)\/(6\/9)).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5796 divided by -6.\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 6. Suppose 2*h = -t*h. Sort 2, -5, h in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1868 + 2?\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from dddxdxddxdxx.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*q + 3*n, 2*n = 7 + 3. Let h = q - 31. Let v = -7 - -7.6. Which is the closest to -1? (a) h (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146135, -1168897, -3944957, -9350963, -18263563, -31559405, -50115137?\nAnswer: -74807407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 2*k + 9, -5*k = -2*j - 5. Suppose -f - j*p = 3*f - 134, 0 = 2*f - 2*p - 76. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o**2. Let d(m) be the second derivative of 0*m**2 + 0 + 0*m**3 - 1\/6*m**4 - 4*m. Determine d(a(r)).\nAnswer: -450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(-8)\/(-2). Suppose 2*k - k + 9 = 0. What is the remainder when k\/q*(-16 + 2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(11) - (sqrt(44) + sqrt(11) + -1)) + 1*(sqrt(11) + 1))**2 + 2.\nAnswer: -4*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i. Let l be b(-4). Suppose 18 = t - 3*w, 5*t + w = -10 + l. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 328*d + 7 - 7 - 201*d. Let c(t) = -2*t**2. Determine x(c(w)).\nAnswer: -254*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002757872 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12770*a**2 + a + 5840.\nAnswer: 25540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 107 = d - 5*k, 2*d - 5*k - 63 = 0. What is the greatest common divisor of 119 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 2. Let i = 7 - 9. Let n be h(i). What is the common denominator of ((-4)\/(-5))\/(n\/285) and 9\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*i - 168*i + 102 = 0. Solve -i*a + 35 = -13*a - 3*s, 4*s = -20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/7178675 and -121\/25400.\nAnswer: 57429400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -350*q**2 + 12000*q + 42718685 wrt q.\nAnswer: -700*q + 12000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.34961146 + 915559.7\nAnswer: 915560.04961146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 4) to base 9\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6772 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14820535 is divided by 964?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30995 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y + 4. Let x be v(-3). Suppose -l = 10 - x. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/38570 and 33\/179626.\nAnswer: 6286910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1050, -6159, -20030, -47043, -91578, -158015, -250734?\n\"Answer: -730*p**3 - p**2 + 4*p - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftqps. Give prob of picking 1 s, 1 q, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 21 = -2*b, -v + 7*b - 8*b - 1 - 2 = -2*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5613496 divided by 701687\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose w + 8 + 3 = 4*g, t*g - 19 = 5*w. Solve -5*y + 35 = 5*s, g*s = 6*s - 4*y - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**4 + 5*m**3 - 155*m**2 + 553*m - 4. Let c(v) = v**4 - v**3 + v + 1. Let y(h) = 5*c(h) + i(h). Find the second derivative of y(k) wrt k.\nAnswer: 12*k**2 - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/15*28\/3. Let n be (-1528)\/(-18)*(-1)\/26. Let k = m - n. Which is the biggest value? (a) k (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 83. What is the remainder when 1\/((-2)\/8) + 200 is divided by n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31321312 (base 4) to base 8\nAnswer: 157166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053823607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*((-2)\/(-8) + 2). Solve 0 = -9*p - 3 + s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + -41 - (1813 - 1892).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let a(x) = -x**4 - x**3 + x - 1. Let v(l) = 7*l**4 + 3*l**3 - 8*l + 3. Let u(d) = h*v(d) - 3*a(d). Find the second derivative of u(j) wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 - -322. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 9 + -9 + -1 + -11 + 9 - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 645, -25, 4, 2, 36, -1 in increasing order.\nAnswer: -25, -1, 2, 4, 36, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 7:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1957 - 1956.516. Let f = -778.36 + 777.876201. Let o = t + f. Round o to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-20))\/((-2)\/10). Let w be 56\/160 - x\/(-8). Which is the third biggest value? (a) w (b) 3 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 11*m - 7*m + 6*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m + 14*m + 30*m - 26*m + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 24*q + 8. Is y(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.94 - -0.06. Let m = 1.44 + -3.44. Which is the nearest to f? (a) m (b) -0.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33915, 67841, 101785, 135765, 169799?\nAnswer: 203905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(396) + 0 - sqrt(396) - (sqrt(396) - (1 + (sqrt(396) + -1)**2 - sqrt(396) - sqrt(396)))) + ((sqrt(396) + 0 + sqrt(396))*5)**2 + -5)*-1 + 2.\nAnswer: -39995 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(12)\/sqrt(2)*-6) + 4 + (2 + sqrt(176) + sqrt(11) - (sqrt(33)\/(-5*sqrt(3)) - sqrt(11)))**2.\nAnswer: 739*sqrt(11)\/30 + 10771\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -99*c + 9. Let j(g) = -197*g + 19. Let d(h) = 3*j(h) - 7*u(h). What are the prime factors of d(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = -3, -5*q = -3*r + 252. Let f(v) = -15*v**2 + 0*v - v + 16*v**2. What is the remainder when r is divided by f(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -226 + 9*n + 228 - n + 3*n**2 - 7*n. Let p(x) be the third derivative of -7*x**5\/60 - x**4\/24 - 5*x**3\/6 + 2*x**2. Calculate -5*f(r) - 2*p(r).\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:11 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1491\/5 + 5439\/20. Let y = -26 - d. Let v be (4\/(-6))\/(64\/48). Which is the second biggest value? (a) v (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 860 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:36 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971436.\nAnswer: 2, 3, 80953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + -1 + sqrt(1216) + (sqrt(1216) - (sqrt(1216) + sqrt(1216) + 4*(sqrt(1216) + (sqrt(1216) - sqrt(1216)*-3)))) + sqrt(1216) + -5)**2.\nAnswer: 2128*sqrt(19) + 439025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -15*z**2\/2 - 26*z - 3. What are the prime factors of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -558*y - 1966. What is m(-2)?\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*o + 101 - 204 - 216 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17543 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45 - 1511.\nAnswer: -1510.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(-154 - 35*i + 80 + 73).\nAnswer: -70*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*v - 5281*v**4 + 17*v**2 - 14*v**2 + 29 + 16*v wrt v?\nAnswer: -126744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*x = -129, -3*x = -5*p - 4*x + 245. Let r = p + -45. Suppose -r*i = -7*i + 388. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 + 46*n - 30. Determine z(12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 4*d - 12. Let x be c(6). Let w = x + 5. Solve 4*h = 4*i, -3*h + 8 = -4*h + w*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 + 3*i**3 - 24*i**2 + 19*i**2.\nAnswer: 3*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 31*q**2 - 5*q + 26*q**2.\nAnswer: 35*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-15)\/(-165)*12.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 3 = 3*r. Let f = 8 - r. What is the first derivative of 3 + 2*t - 2*t - 13*t**f + 1 wrt t?\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-88)*(-66)\/(-12)*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnua when four letters picked without replacement from nxnuuuuuuududxa.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1750195*d**2*j**2*k**2 + 7875*d**2*j - 4*d**2*k - 74*d*j**3 + 3*j**3*k**2 + 2*j**2 wrt k?\nAnswer: 3500390*d**2*j**2 + 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - v + 2*v)*(-6*v**2 + 2*v - 2*v) - 140 - 35*v**2 + 33*v**2 + 137 - 15*v**3 - v**3 + 0*v**3 - 2*v**3 to c*v**2 + s*v**3 + y + m*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 24*q. Let i be u(3). Let z = 107 - i. Solve 5*n = -5*a + z, 0 = -5*a + 3*n + 2*n - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 - 2 = 0. Suppose 18 = v*l - 0*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0 + 89*i**2 + 3*i**3 + 1 - 87*i**2 - 4*i**3. Calculate a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6932641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135364 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 6, d: 5, q: 5, s: 2}. Give prob of picking 1 q and 1 s.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 433233.5189 to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-10) - 0) + 4\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 37*v - 36. Let p be t(-1). Solve -2*i - p = 2*f, i - 1 = -4*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*t + 35, -3*d = 2*t + t - 45. Suppose -b - 2 = 2. Calculate the remainder when d is divided by b + 14 - (-2 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324254 to the power of 1\/2, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8896*d**3 - 540*d**2 + 9991*d + 29 wrt d?\nAnswer: -53376*d - 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 0, 3230, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g. Let r(c) = 3*c. Let z(m) = 13*m. Let p(v) = -9*r(v) + 2*z(v). Let b(i) = 36*i - 678. Let d be b(19). Determine d*p(u) + j(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 32*y - 29744 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**8\/84 - 29*t**7\/105 + 139*t**5\/20 - 11*t**2. What is the third derivative of l(m) wrt m?\nAnswer: -240*m**2 - 1392*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-33) + 1*(-10)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 673 - 673. Suppose -a = 2*a. Suppose -x + a - 6 = k. Let h(s) = -s**3 - 6*s**2 - 7. What is h(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(1 - 2\/(-4)). Let a be (-255)\/g*(1 - 3). Let t = a + -124. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 28 - 16 = 0. Let d = a - 5. Suppose 0 = 4*i - 0*i - 4*b - 28, 45 = 3*i + 5*b. What is the remainder when i is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 - 4*w**2 + w**2 - 24*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 10*p**2 - p - 9. Let h(j) = 3*j**3 + 15*j**2 + j + 11. What is -5*h(x) - 7*k(x)?\nAnswer: -x**3 - 5*x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-6)\/((-36)\/3)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 908711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -997, -1566, -2115, -2638?\nAnswer: -3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 1, -1, -28 in descending order.\nAnswer: 1, 0, -1, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**4 - 178*a**3*m + 2*a*f*m + 2*f*m + 1222*f wrt a?\nAnswer: 4*a**3 - 534*a**2*m + 2*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(1\/4)\/j)\/j)\/j*j*j*j)**47)**(-39)\/((j\/(j*(j*j**(4\/5)\/j)\/j))\/(j*(j\/(j\/(j\/((j*j**(-1\/7)\/j*j)\/j*j))))\/j))**(18\/13) assuming j is positive.\nAnswer: j**(-834159\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 117 = 48. Let y be (-12)\/(-9)*3\/2. Solve 0 = 3*a - f*a + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, -1\/4, 7.61, 5, -69?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992189822.\nAnswer: 2, 13, 269, 141863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 700 - 809. Let i = y + 115. Solve 2*p - 26 = -5*o - i, -3*o + 6 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + 3*b - 20. Let m be w(-6). Let u = 182 + m. Solve 2 + u = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8650.3588 - 5.\nAnswer: -8655.3588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 75 = 5*d. Let w be 36\/d - (-4)\/(-10). Let v = 0 + w. Solve v*s - 3*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256093 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in 0.1, -1\/6, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.42686 - 0.07.\nAnswer: -9.49686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*x**3 + 25487*x**2 - 3 - 191*x**3 - 25482*x**2.\nAnswer: -284*x**3 + 5*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 2*t = 0, 4*d + 2*t - 6 = 0. Solve -y + 5*x - 3 = -4*y, -5*x = d*y - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.12 - -35.72. Which is the closest to 2\/3? (a) -324 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -38. What is the derivative of 9 + d + 3 - 9*w**2 wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -2*g**2 - 1\/14*g**5 + 0*g + 0 + 4\/21*g**4 - 4\/21*g**3. Determine h, given that s(h) = 0.\nAnswer: 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 356? (a) 5\/2 (b) -0.1 (c) 0.5 (d) -36835 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/x**(-2\/19) assuming x is positive.\nAnswer: x**(97\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*c**3 + 1745*b**3*c - 1604*b**2*c**3 + 2*b*c**2 - 1 wrt c.\nAnswer: 6*b**3*c - 9624*b**2*c + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 40, 63, 86, 109, 132?\n\"Answer: 23*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6159 * -0.2.\nAnswer: 1231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15))\/((-2)\/(-6)). Suppose -3 + 9 = -2*r, -x*h + 38 = 4*r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -26?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*c**3\/4 - 433*c**2\/8 + 521*c\/8 - 15\/4.\nAnswer: (c - 5)*(2*c - 3)*(33*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462 = -16*h - 1830 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -7*j - 2*j. Let z(f) = -f**3 - 6*f**2 - 13*f - 8. Is z(j) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.94 - 0.7. Let i = d - 2.84. Let g = 1.59999765 + i. Round g to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1050\/(-420))\/((-25)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/(g\/g**(-2)*g))\/(g**(-4\/5)\/(g*g**(-4\/5)\/g*g*g*g)) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 56*d = 51*d - 232, 2*d = 1659*s - 1646*s - d - 171 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -29. Let i(b) = 7*b + 23. What are the prime factors of i(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3223*s**2. Let z(j) = -102*j. Give i(z(g)).\nAnswer: 33532092*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5204 + -254a?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 275.\nAnswer: -9\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127000 rounded to the nearest 1000?\nAnswer: -1127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(3\/8))*j**(2\/3)*j)**(-4\/19) assuming j is positive.\nAnswer: j**(-49\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-7\/5))\/(z*z**(-7)))\/(z*(z**(-12)\/z)\/z)**40)**(-1\/5) assuming z is positive.\nAnswer: z**(-2628\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-22))\/(1\/244). Let y = -38 + r. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.992 + -0.008. Let w = v - -62.00041. Round w to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110100100111000101100 + -1?\nAnswer: 1100110100100111000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 - 188*z**3 - 24768*z**2 + 1286144*z + 1310720 = 0. What is z?\nAnswer: -80, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31093486 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w**2. Let a(n) = n**2 - n + n. Calculate v(a(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 + -0.6. Let q = i + 13.4. Let w = q - 19. What is the second smallest value in -2\/3, 0, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 366\/8*210\/(-945) and (-11)\/30 + (-10)\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y = -401 + 114. Let n(s) = -s**3 - 8*s**2 + s + 11. Determine n(y).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -1928\nAnswer: 34704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 872 = -3*k, 3*k + 286 = 4*k - 2*v. Let t = 553 - k. List the prime factors of t.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28540*s**2 + s + 21648?\nAnswer: -57080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -3\/8 (b) 2 (c) -0.5 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682*z**2 + 29526*z**3 - 1413*z**2 + 731*z**2.\nAnswer: 29526*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.361278 rounded to three dps?\nAnswer: -6.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 3*f - 420, -4*f - 5*w + 558 = 0. List the prime factors of f.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30\/31 + -578\/341. Let v = -18\/55 - l. Let f = 10.2 - 10.4. What is the closest to -1 in v, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 654 divided by 13404\nAnswer: 109\/2234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/11 (b) -9 (c) 1\/6 (d) -0.1 (e) -421\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*w + 2. Suppose -p + 5*j = p - 25, 3*p = w*j + 25. Let i(b) = -b**2 - b + 35. Is i(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2480.003756 - -2480. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/20)\/((-2)\/70). Let a = g - -39. Suppose -a = -4*v + 23. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (214\/26 - 9)*(-2 - -15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16170 take away -0.1903?\nAnswer: 16170.1903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 8*t**2 + 7*t + 18. Let s be d(-8). Suppose -2*q + 4*m = -1966, -q + 2*q - s = -m. What are the prime factors of q?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 8. Let d be n(-7). Does d = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 193995 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 553 - 457. What is the least common multiple of 60 and l?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -931940 divided by -170.\nAnswer: 5482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) 1 (c) -0.5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = x - 4, -3*x + 5*a + 25 = 0. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/15 - 18166*x**3\/15 + 13594562*x**2\/5 + 2124029494*x\/15 + 7842415864\/15 = 0. What is x?\nAnswer: -47, -4, 4567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32226790*w**3 + 376082*w**2 - 5*w - 7?\nAnswer: -193360740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -51 (c) 0.06 (d) -12 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 580, 1317, 2350, 3679, 5304?\nAnswer: 7225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 40. Let z = -5 + k. Let s = -198 + 200. What is the highest common divisor of s and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57287 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -15. Let b = d - 8.1. Which is greater: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 8*x, -d = -x + 1. Let r(u) be the first derivative of u**d - 4\/3*u**3 + 0*u - 3 - 1\/10*u**5 + 5\/8*u**4. Factor r(n).\nAnswer: -n*(n - 2)**2*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*a**5\/5 - 25910*a**4 + 385938*a**3\/5 - 257954*a**2\/5 + 220*a = 0. What is a?\nAnswer: 0, 1\/233, 1, 2, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f. Suppose -2*j + 9 = -13. Let l(z) = z + 2. Let b(q) = -6*q - 11. Let w(n) = j*l(n) + 2*b(n). Determine k(w(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 108 - (-2 - (0 - 7 - -2))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20)*3*21\/14)\/(318\/5830).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 329*h + 656. Let p be d(-2). What is the nearest to -2\/19 in p, 1, 0.4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0168591 millilitres to litres.\nAnswer: 0.0000168591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 66300 divided by -975\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8. Let x(i) = 3*i + 5. Let f be x(k). Solve 0*r = -3*g - 5*r - 3, f*g = 2*r - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 20. Determine g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -12*n. Suppose -3*r - 4*j + 63 = n, j - 4*j - 63 = -3*r. Let c be (-12)\/r - (-12)\/(-28). Put c, 3, 6 in decreasing order.\nAnswer: 6, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2531.1 + 2531. Sort -3\/8, w, 8\/5, -0.3.\nAnswer: -3\/8, -0.3, w, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2547 - -2553. Solve -b - 1 - 3 = -y, -5*y + t*b + 24 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2002 + 1971. What is the second biggest value in s, -4, -0.044?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6346, -12335, -17618, -21841, -24650?\nAnswer: -25691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3865, 3926, 4075, 4360, 4829, 5530, 6511?\n\"Answer: 8*t**3 - 4*t**2 + 17*t + 3844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - k - 1 + (-3 - 1 + 2)*(1 - 1 + 2*k) + 3*k + 3*k - 5*k + 3*k - 5*k + 5*k)*((6 + 0 - 2)*(1 + 2*k - 1) + 0 + 0 + 4*k) as b + p*k**2 + m*k and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (80\/10 - 6) + 0 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -40 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -1\/3, -0.1, -1\/5, -21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 12) to base 11\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p + 51198 = 655*p + 384*p for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2\/w)\/w**6)\/((w*w**3)\/((w\/w**(-2\/9))\/w)))**(-12) assuming w is positive.\nAnswer: w**(316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or 1?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 13. Let h be m(-4). Suppose -h - 13 = -2*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 < -75.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-8))\/((-82)\/(-656)). Suppose -35*o + 6230 = 4*n - 40*o, z*o - 7810 = -5*n. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q. Suppose 25*k = 1917 + 358. Let r = k - 92. What is x(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 77. Solve 5 + 5 = -w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 105. Suppose 395 = -i*b - 5*b. Round b to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 74 = 7. Let y = x + -67. Which is smaller: y or 6\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2043*f**3 - 3623*f**3 - 4445*f**3.\nAnswer: -6025*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.2, -4, 4, 1001145, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33561 and 1188?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -236. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 80 = 4*x. Let q = 1 + -2. What is the remainder when 63 is divided by (0 + q)\/(5\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 - 119 + 155)*(-3*j**3 + 5*j**3 - j**3) - 6 - j**3 + 6.\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60b - -12c?\nAnswer: 73a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3 + 189*g**2\/2 + 390*g - 6671. Determine w, given that u(w) = 0.\nAnswer: -2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 7:37 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2 - w + 0 - 5 - w. Let g = 5 - 10. What is y(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -30. Which is the closest to -3? (a) n (b) -1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -a + 18325, -3*l + 10995 = 113*a - 117*a. List the prime factors of l.\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 3*y**5\/80 - 5*y**4\/12 + 23*y**3\/24 + 5*y**2\/4 + 4*y. Determine s so that v(s) = 0.\nAnswer: -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 541120245 + 23?\nAnswer: 541120312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 53 = -48*f. Put f, 3, 0 in increasing order.\nAnswer: 0, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 - 2*n + 19. Let a be c(6). Put a, -3, 3, 0 in decreasing order.\nAnswer: a, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10397.44cm to nanometers.\nAnswer: 103974400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3774 - 2666 = 545*j + 1190 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(1539) - (4*(sqrt(19) - sqrt(19)*2))**2).\nAnswer: -307 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 1 + 1 + (-3 - 4 + 6)*(-3*z**3 + z**3 + z**3) - 4*z**3 - 2*z**3 + z**3 + 0 - z**3 + 0 + (4*z**2 - z**2 - 2*z**2)*(-2*z + 2*z - 2*z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24053341 + -322?\nAnswer: 24053017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -37*v - 32. Suppose 2*q = 5*x - 15, 3*q + 5*x = -2*q - 20. Let b be d(q). What is the highest common factor of b and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -c - 4*o, -7 = -c + 2*o. Let p(n) = 2*n - 12. Let a be p(c). Sort 1, 4, a in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62783775 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 3. Let g be b(-3). Let l(d) = d - d + g*d**2 - 10 + 9. Let c be l(1). Solve -f = -1, c*f + 4 = -5*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*o**6 - o**2 - 66*o + 3*o**2 - 72*o + 130*o wrt o?\nAnswer: -10320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (672\/2940)\/((-12)\/15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/32 and -55\/1224.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 3. Let c(z) = -1. Suppose -2*g - 2 - 10 = 0. Let j(p) = g*c(p) - n(p). Suppose 2*q + 4 = -4. Calculate j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a - a - 2*p, 3*p + 5 = 5*a. Is 5\/9 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015*-0.003.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 870847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + r - r + (-3*r**3 + r**5 + 3*r**3)*(-4 + 4 - 2).\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y + 2. Let o be m(-3). Suppose -4*w - 2 = -o*w. Suppose -i - 4*n + 16 = 0, 5*i - 218 = -w*n - 66. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/7 - 2196*j**4\/7 + 87058*j**3\/7 + 820836*j**2\/7 + 104512*j = 0 for j.\nAnswer: -1136, -7, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 23 = 2*s. What is the greatest common divisor of s and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -19*i - 3. Let u be k(8). Let z be (-2)\/4 + u\/2. Let t = -28 - z. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 2*o - 2, -36652*s + 4*o + 17 = -36653*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -32354010388 to the nearest 100000.\nAnswer: -32354000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 324da + -2?\nAnswer: 324d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3 + 11. Find the third derivative of s*o + o**2 - 7*o + 2*o**2 + 5*o**3 wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17483057450 - -3.\nAnswer: -17483057447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 49. Suppose -8*i + 13 = -m. Suppose -24 + 8 = -i*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339203*y**4 - 324*y**2 - 615.\nAnswer: -8140872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:11 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16.04 * 0.04\nAnswer: 0.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*v - 9*v - 15, 5*n = -4*v - 18. Let x = 8 + n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1942 + 1954. Solve 0 = 4*f + 4*g + i, -24 = 5*f + g - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/5 + (-5)\/25). Suppose -c*o + 2*o - 4*h + 31 = 0, -2*h - 27 = -o. Suppose 3*i + 8 - o = 0. Solve i*y = -0*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/168*3*21\/54?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 195 = -5*i - 42, 0 = 3*i + 2*o - 84. What is the remainder when 118 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23147843 divided by -6.\nAnswer: 23147843\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -67.9 * -0.033\nAnswer: 2.2407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186224*v*z**3 + 3*v*z + 437*z**2 - 2*z - 3 wrt z?\nAnswer: -1117344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y - y)*(413 - 950 + 440).\nAnswer: 194*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 637142 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -312 + 262. Sort h, -1, -3, 12 in decreasing order.\nAnswer: 12, -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 - 3213*t - 103451. Give w(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**4 - p**4 + 3*p**4 + (p - 3*p + 0*p)*(1 - 2 - 2)*(-2*p**3 + 0*p**3 + p**3).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, m: 1, t: 2, x: 1, k: 8, y: 2}. Give prob of picking 1 t and 1 k.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1712333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-2 - -2 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.71 + 0.446. Round h to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004381401916 rounded to five dps?\nAnswer: 0.00438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12333 times -7.09\nAnswer: -87440.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-120))\/(15\/(-40)*-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + 81. Let g = -1209\/5 + y. Put 1\/5, -6, g in decreasing order.\nAnswer: 1\/5, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36505 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74474531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35159*v + 30545*v - 85344 = 53076 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -4, 0, 4, 4220 in descending order.\nAnswer: 4220, 4, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 15*j + 20. Suppose 0*v + 3*v - 68 = 4*r, r + j = 0. Let s = -4 - -6. Solve s*q + v = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 7*v**2 + 4*v**2 - 3*v**2 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxirhihxi. Give prob of sequence hxhx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y = 40*y + 1216 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-1 + 3 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298*k**3 - 9*k**3 - 167*k**3 + 30*k**3 + 236 - 36*k**3 wrt k.\nAnswer: -1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 143568*c - 574256.\nAnswer: -(c + 4)*(c + 143564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34\/5 - -7. Which is the second biggest value? (a) o (b) -5 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21397 and 4?\nAnswer: 85588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636275539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34139807*b*m**2 - 10329199*b*x - 2*m**2*x**4 wrt x.\nAnswer: -10329199*b - 8*m**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50, -65, -52, 1, 106, 275, 520, 853?\n\"Answer: 2*b**3 + 2*b**2 - 35*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 3. Calculate the common denominator of 75\/2 and -1*d - 1212\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n - 16. Let x be a(4). Let j be (2 + 1)\/(24\/x). Solve j*c - 6*r = -r + 10, 4*r + 5 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 33*u + 31*u)*(-2*u**2 - 2*u**2 + 5*u**2) as f*u + x*u**3 + d*u**2 + n and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 166731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 235 - 194 - 2 - 16*m + (-1 + 2 - 2)*(-1 + 1 + m**2).\nAnswer: -4*m**2 - 16*m + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.3 - -8. Let k = 30 - 41. Let n = k - -15. Which is the biggest value? (a) 5 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/860 and -31\/127842956.\nAnswer: 639214780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*a**2 - 174*a**2 - 14*a**2 - 8*a**2 - 16*a**3 + 17*a**3 as l*a + z + q*a**2 + u*a**3 and give q.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 342*i + 621. Let c(q) = 11*q + 20. Let p(v) = 63*c(v) - 2*h(v). Is 30 a factor of p(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -445663 (base 7) to base 9.\nAnswer: -130181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**2 + 4*s**3 + 51*s**2 + 2577*s - 5162*s + 2585*s - 10*s**2.\nAnswer: 4*s**3 + 72*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 21 = 3*u + 5*s, 5*u - s = 0. Let m be (1 + 0)*(0 + u). Is (13\/4)\/(m\/(-4)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((240\/(-355))\/(-8))\/(789\/(-263)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 5*j**2 - 3*j - 17. Let c(f) be the first derivative of f**4\/4 - f**3 - f**2 - 9*f - 8583. What is 5*c(w) - 3*u(w)?\nAnswer: -4*w**3 - w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.020289m?\nAnswer: 0.005020289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82129 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - -33) + (-8 - 41 - -54)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.4000299568 + 132890.1700189568. Let q = -132861 + w. Let g = 0.23 + q. Round g to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*t + 4808 = -1822*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -166*p**3\/7 + 21614*p**2\/7 - 109098*p\/7 + 137250\/7 = 0.\nAnswer: 183\/83, 3, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-8) - (-1 + -1). Suppose 0 = 4*z - s + 1, -5*z + 2 - 12 = -3*s. What is the closest to 1 in 0, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/3 and 169\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111\/1163 - -118795\/13956. What is the common denominator of (-4)\/(-10) - 2626\/3240 and y?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -401*u**4 - 768*u**4 + 6 + 205*u**4 - 268*u**2 - 281*u**4 wrt u?\nAnswer: -29880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slslllsl. Give prob of picking 1 s and 2 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -893 - -1739. What is the greatest common factor of 54 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 15. Let g(i) = i - 13. Let c(k) = -6*g(k) - 5*t(k). Give c(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860*s + 749*s + 5828166 = 0. List the prime factors of s.\nAnswer: 2, 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q - 9*q - q. Let j(l) = -36*l + 1. Determine g(j(d)).\nAnswer: 36*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -173, -198, -177, -104, 27, 222, 487?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {g: 4, m: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 - k**2\/2 + 16. Let u = 3 - -8. Calculate the remainder when x(-5) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l. Suppose 1 = -5*q + 6. Let n(b) = -3*b - 3. Let i be n(-2). Let m(w) = -34*w + w**2 + 2*w**3 + 0*w**i + 30*w. What is q*m(p) - 2*a(p)?\nAnswer: 2*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 6. Let k be s(5). Let u be (2\/(-6))\/(k\/6). Let p(t) = 4 - 2 + t**3 - t**2 - 3*t**u + t. Give p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -66, 46, -1114, 1, 0 in descending order.\nAnswer: 46, 1, 0, -2, -66, -1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvvvvhhhhn. Give prob of picking 1 v and 2 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 80?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 1011222?\nAnswer: -1011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241.612 + -242. Let y = 0.27 + b. Let o = y + 0.11799813. Round o to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 505716107*v + 541893695 wrt v?\nAnswer: 505716107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 10. Let i be (400\/(-30))\/(-5) - 1\/(-3). Let n(s) = -3*s**3 - s + 2. Let z be n(1). Sort m, z, i in ascending order.\nAnswer: z, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -446976, -446975, -446974, -446973, -446972, -446971?\n\"Answer: d - 446977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**15*(t*(((t**(1\/2)\/t)\/t)\/t*t)\/t)\/(t*t*((t\/((t\/((t\/(t*t*t**3))\/t))\/t))\/t)\/t*t) assuming t is positive.\nAnswer: t**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.193249 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*254\/127?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 4*m + 7*m + 13. Let t be o(9). Suppose 11 = -t*f + 9*f - 3*k, -4*f - k + 19 = 0. Solve -f*v - 3*x + 0*x = 35, -5 = 2*v - x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**26*h)\/h)\/((h*h*h**(-2\/91))\/h))\/(h\/(h**(6\/13)\/h)*h*h**(1\/28)) assuming h is positive.\nAnswer: h**(8171\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1103\/44 - 108\/11. Let t = -12939\/5 + 2578. Find the common denominator of t and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -15*i + 148. Calculate the greatest common factor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*m - 20 = 0, 0 = -2*k - 2*m + 21 - 1. Suppose -7*h = -2*h + k. What is the nearest to 5 in h, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 0.0982 (b) 4\/9 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2*((-72)\/16)\/9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*p + 3*n, 5*n + 20 = -4*p + n. Solve 0*f - f + 5 = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22177 (b) -0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/31)\/w**(-10))**(1\/57) assuming w is positive.\nAnswer: w**(104\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2242635511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 125, 126?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 474 (base 12) to base 2\nAnswer: 1010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13*j**2 - 25*j + 30. Let l(w) = 5*w**2 + 8*w - 10. Let v(o) = 3*a(o) + 8*l(o). Let y be v(10). Which is smaller: -1\/86 or y?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 163*i**3 + 1374*i**2 + 704*i - 512.\nAnswer: (i + 1)*(i + 16)**2*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a - 22 = 5*f - 4*f - 49*a, -4*f = 3*f + 2*a + 40 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/2 + t. Let o(m) be the second derivative of 0 - 1\/6*m**4 + 0*m**3 - 2*m + 0*m**2. What is g(o(z))?\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-23 - -59) + -106\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.1101992 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 9*b**2 + 9*b - 3. Let u be l(8). Suppose -4*r = -5*w + w - 28, -3*r + 29 = -u*w. What is the least common multiple of r and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/18 + (-1)\/(-6). Let w be (-4)\/(-10) + 36\/10. Suppose -5*o = 9*o - 28. Solve -2*d - 3 = o*f + h, -w*f = -3*d + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. Let r be 6\/21 - 54\/(-7). Let i = r + -5. Which is the nearest to -1? (a) w (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 3 - 3)*(-2*n + 0*n - n)*(-n**2 + n**2 - n**2 + (-2*n**2 - n**2 + n**2)*(46 + 46 - 73)).\nAnswer: 234*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 213314 (base 5) to base 8\nAnswer: 16246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -5*t**4\/12 + 7*t. Let v(o) = 3*o. Calculate w(v(p)).\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/32 and -139\/108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 3*c + 3, -12 = 5*j - 5*c + 3*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*d + w, -1 = 5*d - 2*w + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 3*y - 4. Determine f(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/(-75)*-5)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 2*t, -35 + 163 = -16*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m - 4. Let h(p) = 13*p - 8. Let u(k) = 4*h(k) - 9*i(k). Let r(v) = -v + 1. Let f be 2*(-1)\/(-2)*-1. What is f*u(y) + 4*r(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -68, -74, -82, -92?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.032 + 1.216. Round j to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from {q: 2, e: 5, b: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90020 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 3*z**2 + 6. Let y = 86 + -83. What is d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 171708*j**2 + 1842984864*j + 5527409328.\nAnswer: 4*(j + 3)*(j + 21462)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1174\/5*t + 0 - 2\/15*t**2.\nAnswer: -2*t*(t - 1761)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1))**9)**33)**(-10\/9) assuming p is positive.\nAnswer: p**330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a factor of 100073545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {h: 9, v: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f**2 + f**2 + 104719*f + 9*f**2 - 104719*f.\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + s**2 - 3*s**2)*(56 + 6*s - 82 + 15*s) - 2*s**3 + 4*s**2 - 4*s**2 + (7*s - 2*s - 3*s)*(3*s**2 + s**2 - 2*s**2).\nAnswer: 44*s**3 - 52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, s: 1, r: 6, h: 4}. What is prob of picking 1 s and 3 l?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1211050993 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3))**(-1\/4))**(4\/5))**(-25) assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 752 - 732. Solve -v*f + 35 = -27*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*r - 15*r + 97*r - 24*r + 66 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7776)\/(-52))\/3 - (-6)\/39. Suppose 0*z - 5*z + w = 0. Calculate the least common multiple of 6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.4274 rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.075, -1, 1\/2, 0, 4\/3 in decreasing order.\nAnswer: 4\/3, 1\/2, 0.075, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(448) - sqrt(7)) + (-4 + -3*sqrt(7) + 3)**2.\nAnswer: -36*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.01 - 5. Let w = z + -0.0100045. What is w rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Suppose o = -i + 3*i - 17, -c*i + 5*o = -29. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 69\/7, 1\/6, -7, 2331?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) 1 (c) 2\/11 (d) 2\/3 (e) -0.2779\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -23. Suppose -u*w = -208 - 23. What is the smallest common multiple of 24 and w?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5883411.\nAnswer: 3, 17, 115361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 27 = -5*c, 2*c + 26 = -43*t + 40*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63392868 and 22932.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 14*w + 14. Calculate y(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzj when three letters picked without replacement from jzzznjnzjnh.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2671, -2758, -2903, -3106?\nAnswer: -3367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*i**4 - 21*i**4 + 23*i**4 - 29*i**2 + 29*i**2 + i**4 + (4*i**2 - i**2 - i**2)*(-9*i**2 - 3*i**2 - 3*i**2).\nAnswer: -41*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1339 + 2357 = 8*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*w = -w - 2, -3*z + 23 = 2*w. Suppose 5*d - z*u - 50 = 0, u = -2*d - 3*u - 4. Solve 5*t = 2*t - d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2) + (0 - -82). Suppose v = 2*d - d. Suppose 5*t + 8 = d. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37658.77747 - 6?\nAnswer: -37664.77747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 45 - n)*(-n + n - n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17 + -2 - (-6)\/(-3). Let m = a - 13. Solve b + m = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 16*h**2 - 48*h.\nAnswer: 4*h*(h - 2)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 278.17 + -278. Which is the nearest to l? (a) -3\/4 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1680 = 11*f. Let z be (-14)\/(-49) + -3*(-8)\/f. Factor -4\/5*p**3 + 0 + 2\/5*p**5 + 0*p + 0*p**2 + z*p**4.\nAnswer: 2*p**3*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Solve l - b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-35)\/14)\/(1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 12:31 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deznezzdezzzhfhzzz. What is prob of picking 1 d, 1 h, and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 195.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -6 (b) 1.5 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:11 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149*z = -1145*z - d + 121, -5*z - 245 = -20*d for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 345*g**2 + 8*g + 2. What is the tens digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - (-14 + (-11 - (0 + -12)) + -6 + 9).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 399 + -211. Suppose 14*q = 18*q - d. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5082 and 231?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltglgltglglllig. Give prob of sequence iltt.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42113629 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 187 + 13 = 3*b, -3*b = -2*p - 174. Is p at least as big as -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**0*f**(2\/7)*f*f*f*f**9*f*f**(-12) assuming f is positive.\nAnswer: f**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -5 + 5)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 1025.\nAnswer: 11275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 - -126. Suppose 3*m = -2*j + 7, 4*j + j - h*m - 6 = 0. What are the prime factors of j\/11 - 0 - 5562\/(-22)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-98)\/(-4)*-6. Let d = -137 + z. Solve -6*c + 2*c + d = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1 + o - 6 + 3 + 1. Let w be s(7). Solve 10 = 5*b + w*n + n, 12 = 5*b + 4*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 2, 2\/9, 0.36 in increasing order.\nAnswer: -11, 2\/9, 0.36, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p - 9484 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, t: 2}. What is prob of sequence ut?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.00284 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/4057867 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17227.4159 and 4?\nAnswer: 17223.4159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 + 14.65. Let z = k + -8. Let p = z - 7.00001. What is p rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*m = -120*m - 12*m + 6541908. Is m a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/70 + p**4\/21 - p**3\/21 - 10*p. Determine n so that y(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 15*h**2 - 41 - 9*h**2 - 6*h**2 to the form o*h + k*h**2 + a and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76471\/1188145 - 27\/415. Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 0*b - 1501 + 6*b**2 + 1500. What is the units digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeooooooeqeefqeq. What is prob of sequence ee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by 345595.\nAnswer: 73\/345595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 9, d: 3, i: 1}. What is prob of sequence ggq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*267.47.\nAnswer: 187.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 1\/30*l**6 + 0 + 0*l**4 + 2*l**2 + 0*l + 1\/3*l**3 + 0*l**5. What is the first derivative of b(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -3*h + 3, -4*h + 4 = 0. Is 3 a factor of (-134)\/(f*5*(-6)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*u - 51 = -41, -3 = 3*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8662425 is divided by 57.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 4:50 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2163 - 3.7837. Which is the second biggest value? (a) d (b) -351 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -240*c - 1. Let y(f) = 454*f + 2. What is 11*a(x) + 6*y(x)?\nAnswer: 84*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/8*(-12)\/9. Let q be ((-2)\/i)\/((-474)\/(-405)). Let z = -4761\/1264 - q. Calculate the common denominator of z and 43\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -2 (b) -1731\/17 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*r - 9*r - 3*p, -5*r + p = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6 and 20\/16 - (-495)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 133\/496?\nAnswer: 133\/496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*j = 3*q + 2, 0 = 4*q + j + 40 - 42 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46458)\/(-356) + 33\/(-6). Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b9 (base 15) in base 5?\nAnswer: -3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 - 1591*v**3 - 17711*v**2 - 33753*v - 9342 = 0. What is v?\nAnswer: -519, -9, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 505*a + 48. Give h(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 11*i - 14. Let j be q(-13). Let k = j - 12. Suppose -4*p - 2 = -3*y, 0 = -k*y - 5*y + 3*p + 18. Solve y*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1773*y + 12011. Does 5 divide g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 14*n - 38. What is w(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byddgdgyyd. Give prob of sequence gbgd.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 11*n + 8 = -17, 5*n + 21 = 3*a. Let b = -1\/1106 + 11071\/12166. Factor -12\/11*u**a + b*u + 2\/11*u**3 + 0.\nAnswer: 2*u*(u - 5)*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*1656.\nAnswer: -48024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-573 - 1332 - 136)*(-4*q + 0*q + q) as p + a*q and give a.\nAnswer: 6123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*b + 20 = 0, -2*k - k = 4*b - 15. Differentiate 3*o - k - 5*o + 3*o wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Suppose 0*c = 2*c - 4*q - 676, -4*c + 1379 = q. Calculate the remainder when (-3)\/(-15) + c\/j is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90453, 361807, 814067, 1447233?\nAnswer: 2261305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 135. Calculate d(34).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 265 = 49. Let j = -7 - x. Let o = j - 45. What is the highest common factor of o and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/21 + (-1)\/(-6). Let m be (-5)\/((-175)\/6)*5. Let o = m + -17\/28. Which is the third biggest value? (a) 2\/11 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10595, 10, 2 in decreasing order.\nAnswer: 10, 3, 2, -10595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651097907.\nAnswer: 20011, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.159606 take away 0.76?\nAnswer: -0.600394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3089078l to millilitres.\nAnswer: 308.9078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 + 22*t**2 + 1137*t - 983*t - 3024*t - 4*t**2 + (-2*t + 2*t - t)*(1 + 2*t - 1) to the form c*t**2 + m + p*t and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -280, -525, -770, -1015, -1260?\n\"Answer: -245*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/24)\/(24\/1024). Let b(s) be the first derivative of 0*s + 4\/3*s**2 + 10\/3*s**5 - 2 + 5\/6*s**4 - d*s**3. Find f such that b(f) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*j + 138 + 18 = 0, -2*w + 86 = -4*j. Suppose -3*c - 16 = -w. Calculate the remainder when 23 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 22*n + 2. Let u be k(0). Which is the nearest to u? (a) -2\/11 (b) -0.5 (c) -0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -5503655.\nAnswer: -62\/5503655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -193 and -0.2?\nAnswer: 192.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21*l - 3. Let z(m) = -m - 6938299 + 6938299. What is z(o(g))?\nAnswer: -21*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25984866, 51969726, 77954586, 103939446, 129924306, 155909166?\n\"Answer: 25984860*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:27 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16564714.\nAnswer: 2, 8282357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -6419.\nAnswer: 6423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03374324 + -4.26620276. Let p = v - -4.3. What is p rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17301)\/(-869) - (-3)\/33. Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5801326?\nAnswer: 2, 107, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/85)*(-888)\/(-623820)*-281?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*t - 2. Let w(z) = 6*z**2 + 3*z. Let q be w(t). Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(363) + 2.\nAnswer: 2 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 18 = -0*q. Let n(s) = s - 3. Let c be n(q). Let w = 7 - c. Solve -2*f = -w*o + 8, 4*o - o - 3*f = 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-13 - (-34 - -18))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*p = -1612, -4*z + 1195 = -2*p - 421. List the prime factors of z.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 8*v**2 - 21*v - 75. Let d be u(-3). Suppose -3*m = -5*h - 17 + 12, 4*h + 5*m - d = 0. Put -5, h, -130, 0 in decreasing order.\nAnswer: h, 0, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 0 - 125\/2*n + 135\/4*n**2 - 5\/4*n**3 = 0.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -95\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1423044 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*s - 1453 - 255*s + 515*s.\nAnswer: 22*s - 1453","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 6*t**2 - 3*t - 3. Suppose -a - 3 = -6. Calculate w(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:49 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let p be (-1 + 0)\/((-3)\/6). Let g(n) = -n**3 + 4*n**2 - 3*n. Let d be g(p). Let q(y) = -y**d - 11 + 11. Calculate q(w(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + 0*r - 5*r**2 - 1\/30*r**6 + 0*r**5 + 1\/3*r**3 + 0*r**4. Differentiate b(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332652 (base 9) in base 10?\nAnswer: -198821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121*m**3*s**3 + 4*m**3 - 1044*m*s**4 - 8091*m wrt s?\nAnswer: -363*m**3*s**2 - 4176*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144350622.\nAnswer: 2, 3, 13, 23, 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 137452 - 1050375?\nAnswer: -912923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -153. Suppose -4*o = 4*w - 120, -5*o + 3*w + 118 + f = 0. Suppose 2*s = 5*s + 9, 0 = 3*l + 4*s - o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33405 and 20.\nAnswer: 133620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127518 + 36595. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 54 = 0. Suppose u + 0*u - l = -5*k, 0 = 2*u + 3*k - 101. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 - 475 = -g. List the prime factors of g.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 182 or 180?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2504 + 746 + 2551 + 490)*(4 - 4 + f) as x + t*f and give t.\nAnswer: 6291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/((-26)\/884*-34)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -27.\nAnswer: 52\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6915 + -3.1549. Let z = -0.0534 - u. Round z to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.08, 3, -0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 60. Suppose b = -3 - 1, -m + h*b + 4 = 0. Is (-1893)\/(-6)*m\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, -1\/3, 10\/113, -3\/2, 3?\nAnswer: 10\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*u = 201, f - 29 - 1 = -4*u. Let p(z) = z**3 + 5*z**2 + 3*z. Suppose 4*v + 6 = -2. Let l be p(v). What is the greatest common divisor of f and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-6))\/42 + 29\/(-138)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 16 - 14*a - 8)*(-8846 - 338*a + 8846).\nAnswer: 4732*a**2 + 1014*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404924257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 11 - 3. Let p = -12 + a. Let g = 5 - p. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691*k - 690*k - 3 = 0. Solve -k*z = 2 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose -3*s = -g - 28, -s + 3*g = -n*s + 15. Suppose 4*y = 5*f - 72, 3*y - 45 = -3*f + s. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252394507 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 4*i. Let p be g(4). Let u = 22 + p. Suppose u = z + z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8371026 by 6.\nAnswer: -1395171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14940 by 9.\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p**4 + 6*p**3 - 285*p**2 - 564*p - 180 = 0.\nAnswer: -3, -2, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7520435*v**3 + 197012410*v**2?\nAnswer: -45122610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*i = 10, 4*i - 3 = 2*z - 13. Let o be 40\/30 + (-16)\/12. Solve -h + o*h = -z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 46. Give j(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*-60.3369\nAnswer: -168.94332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -30225146\/27 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1945 and 20.\nAnswer: 7780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 - 4*f + 1. Let t(c) = -8*c**2 - 11*c + 3. Give 11*q(m) - 4*t(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4905308228?\nAnswer: 2, 2081, 589297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 3*z**2 - 2*z**2 + (2 - 2 + 2*z)*(-2*z + 0*z + z) + 5 - 5 - z**2 - 2*z**2 + 2*z**2 - 2*z**2 - 337 - 24*z + 171 - 2*z**2 + 168.\nAnswer: -8*z**2 - 24*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1076)\/(-269))\/(7\/(700\/(-16)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201 - -100?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -443768, -441282, -438796?\n\"Answer: 2486*l - 446254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 1. Let s(q) = q**3 - 8*q**2 + q + 10. Let m(u) = u**2 - 8*u - 11. Let x be m(9). Let o(k) = x*p(k) - s(k). What is o(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Suppose -27 - 89 = -u*i. Let o = 15 - 5. Calculate the remainder when i is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.14255 * -18\nAnswer: -200.5659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let n(g) = 2*g**2 - 6*g - 6. Let h be n(4). Suppose a = h*y - 0*y + 8600000. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3042)\/(-702))\/((-10)\/6*(-3)\/15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -27. Let q be (-2)\/((7\/2)\/t). Sort 0, q, 1.\nAnswer: 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 162*m**2 + 179*m + 1261. What is the thousands digit of y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**5\/5 + 13*k**4\/2 - 175*k**3\/3 - 243. What is the third derivative of v(b) wrt b?\nAnswer: -24*b + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -22. Let n be ((-2)\/6)\/(m\/255). Let k = n - -37. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 22*b - 531. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7179314629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2314*v - 1429*v - 1226*v to the form y + q*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose l = 3*l + c. Let q be 2\/8 - 30\/56. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3599 and 120832?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 13711482*h + 13711479.\nAnswer: 3*(h + 1)*(h + 4570493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -84. Suppose 16*v = r*v + 7. Solve -v = 3*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 16 + 13 = 3*o, -5*k - o = -21 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/60*-5)\/(5\/(-60))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/44 (b) -4 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 1011*n + 2491*n + 2*n**2 - 634*n - 4*n**2.\nAnswer: -n**2 + 846*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 - 11*a**2 - 16 + 114 - 29*a**2 to the form r*a**2 + c*a + s and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208736314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136485 and 71154180.\nAnswer: 213462540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(1 + sqrt(405)) + -3) + (3 + -1 + sqrt(405) - (-5 + sqrt(405)*-4)))**2.\nAnswer: 2106*sqrt(5) + 68526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 606921641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/24 - 21*k**2. Let m(c) = -2*c. Calculate 4*d(a) + 3*m(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 92. Sort p, 25\/4, -0.2 in increasing order.\nAnswer: p, -0.2, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3245 + -3241. Suppose x - 8 = -3*x. What is the least common multiple of (-9)\/(-11) + x\/11 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056956 to four decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -34. What is the common denominator of 62\/3 and f\/(-3 + 642\/218)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a + 7*a - 22*a.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -43*q - 1448. Is 2 a factor of u(-73)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 - -23 - -27 - -9 - -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143 - (83 - (-24 + 22))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -93870 - -0.035?\nAnswer: -93869.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let k(m) = -m**2 - 24*m - 43. Let f be k(-18). Let s(n) = f*n - 23*n - 19*n + 15*n**2 - 23*n. What is y(s(r))?\nAnswer: -225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053681 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 15 + 35)*(2 + 3 - 3)*(-64*g + 98*g + 94*g) to the form u*g + f and give u.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24764, -27010, -29256, -31502, -33748?\n\"Answer: -2246*a - 22518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 3 + (-2195)\/(-555))*-264. Which is greater: 11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1. Let s(f) = 2*f - 20. Let r = 3410 + -3411. Determine r*s(a) + 5*v(a).\nAnswer: -2*a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 374, 706, 1052, 1418, 1810?\n\"Answer: w**3 + w**2 + 322*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10707 - 10694. Let l(a) = -a**2 - 1 - 11*a + 78*a**3 + 13*a - a**2. Calculate the remainder when l(1) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-14))\/(4\/(-14)). Suppose u + 0 = 2*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 450 = 265. Solve 0 = -4*v + 3*m - 19, -y*v + 4*m - 30 = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*v. Let y = 2 + -1. Suppose -s + 8 - y = v. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96.65 + 96.9. Which is the second biggest value? (a) 5\/3 (b) m (c) -1\/4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1273, -11394, -38861, -92344, -180513, -312038, -495589, -739836?\nAnswer: -1053449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17)\/(r\/(r\/((r*r**(-2\/45))\/r))) assuming r is positive.\nAnswer: r**(-763\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000122219 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 14*l + 17. Let n be h(-13). Suppose 0 = 2*d - 3 + 5. Let g be -1*(n\/2 + d). Which is the nearest to 0.1? (a) g (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:26 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 171533700?\nAnswer: 1886870700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -80674 divided by 19\nAnswer: -4246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 89.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14138*m - 579*m**2 - 14138*m)*(-4*m**2 + 0*m**2 + 3*m**2) + 2*m**4 + 1 - 1.\nAnswer: 581*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137542670491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 55 = 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -57, -86, -121?\n\"Answer: -3*n**2 - 14*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c - 20 = 2*b, -4*c + 49 = 5*b. Solve c*x = -13 - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -34 + 1\/2*c**4 + 27*c + 1\/3*c**3 - 1\/2*c**2. Let x(z) be the first derivative of r(z). Give x(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/60 + 43*l**4\/2 - 11094*l**3 + 1187*l**2. Determine z, given that c(z) = 0.\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/9240689 - -5525929412\/12059099145. Let v = 2\/145 - q. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3144, -844, -3 in increasing order.\nAnswer: -3144, -844, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16102 - 16104. What is the second biggest value in f, -2\/7, 0.2, 11, -95?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -15*1\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*w + 17 = 3*c, -4*w - 4 = 0. Suppose -5 = -c*b + 2*k, -b - 3*k = -7*k + 15. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + m + 1678, -3*r + 4*r = m + 837. Let l(k) = k**3 + 3*k - 6*k**3 - 839 + r. Let p(n) = 5*n**3 - 2*n - 2. Calculate -2*l(d) - 3*p(d).\nAnswer: -5*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -754, -773, -772, -745, -686?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/8 - t**3\/2 + t**2. Let f be u(2). Suppose f*q = -0*q + 21. What is the greatest common divisor of 56 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -326.036462634 and 1.1.\nAnswer: -324.936462634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/5 - 62*q**2\/5 - 412*q\/5 + 1088\/5 = 0.\nAnswer: -17, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -17\/5 (b) -1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 2112?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 1, u: 1, a: 10, j: 1, x: 3}. Give prob of picking 1 x, 1 u, and 1 a.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/2, 3, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 f, and 1 k when four letters picked without replacement from hhkhffkkh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:09 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by (-136)\/(-3)*39\/52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 68171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 less than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -22*c + 17*c. Sort -4, 5, c in decreasing order.\nAnswer: c, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7176 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -956 * 20278\nAnswer: -19385768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21735 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 751.4927mg?\nAnswer: 0.0000007514927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 4 = 0. Solve -d = 4 - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -28. Let h be 64\/5 + (-2)\/u. Let v(r) = h*r**2 - 2*r**2 - 10*r**2. Let n(f) = -2*f**2. Determine n(v(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -2086.\nAnswer: 57\/2086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -141, -4, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020000 - -12200?\nAnswer: -11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91.339 - -0.061. Let k = -18.9 + u. Let p = k + -72.500327. What is p rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227536655 + 367936655. Suppose k = 28*k + h. Round k to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-2) - (4 + -6). Let b = -1 - -2. Let z = b - 1. Sort t, z, 3 in ascending order.\nAnswer: t, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/3 + 2 + -9. Let i be (-8)\/(-36) + 3 + 156\/27. Calculate the common denominator of -103\/14 and (-50)\/(-24) + l\/i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - 0. Let n = -183 - -141. Let k = n - g. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56268 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51146 - 30587. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177798 or -14.6?\nAnswer: -177798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1938*f**3 - 5066*f**3 - 2253*f**3 + 186*f**3.\nAnswer: -9071*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26112379900 from -0.6.\nAnswer: 26112379899.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(84) - (1*sqrt(84) + sqrt(84))))\/(sqrt(432)*-2))**2*-6.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-34)*o*(o*o**19)\/o*o**22*o**(-6\/13)*o assuming o is positive.\nAnswer: o**(111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -264*j + 20 + 37 + 519*j - 281*j. What is g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459534*w + 164616*w - 627615*w.\nAnswer: -922533*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28411016 is divided by 1041?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -3\/50, -1, -2\/17, -3?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -525, -525, -517, -495, -453, -385, -285, -147?\n\"Answer: m**3 - 2*m**2 - m - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*c + 912*c + 23 - 11 - 10 - 171*c as u*c + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 4 = -8*b. Suppose 4*u + 3*w - 117 = b*w, 4*w - 12 = 0. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 746*b**2 + 24*b - 6. Let f(u) = 248*u**2 + 9*u - 2. Calculate -11*f(s) + 4*i(s).\nAnswer: 256*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v**2 - 1. Let q(l) = 2*l**3 + l**2 + 19*l + 39. Calculate the remainder when q(0) is divided by p(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1862 and 540?\nAnswer: 502740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8208)*-2)\/(sqrt(192)*1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/11, 3, 25, -1 in ascending order.\nAnswer: -2, -1, 4\/11, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 1. Let v be w(9). Let s(g) = -24627289*g - 31. Let n be s(v). Suppose 16*b + 443327141 = -n. Round b to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 981 = -31*a. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1955 + 141*p**2 + 123*p**2 + 4*p - 4*p.\nAnswer: 264*p**2 + 1955","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 2042054.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 94 - 227)*(2*n - 2*n - 2*n**5) - 2*n + 2*n - 3*n**5.\nAnswer: 45*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 278060 >= 278061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let g(k) = -4*k**2 - 1. Calculate q(g(w)).\nAnswer: 16*w**4 + 8*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*(103\/(-103))\/(4\/(-8))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.9, 2.7, 1, 11, 0.5 in decreasing order.\nAnswer: 11, 6.9, 2.7, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -26480 at least -14\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**6\/120 - y**5\/80 - y**4\/24 - 4*y. Factor i(t).\nAnswer: t**2*(t - 2)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 10 + 11)*(6 - 1 - 4)*(-3 - u + 3).\nAnswer: -41*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148844.871 seconds to days.\nAnswer: 1.7227415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose c - 3*j = 2, -j - 1 = -l*c + 5. Solve 3*v - c = t, 0*v + 4 = v - t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6 = -6*s. Let a be -6*s*6\/27. Let v = 10 + a. Solve -y + v = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 5:27 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 2*b + 10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 10*d + 10. What is the units digit of l(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 10:53 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4723\/204 + -135\/68. Let d = 491291\/65025 - -1\/7225. Calculate the common denominator of v and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.5549195\nAnswer: 1.109839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 20792377926*p + 20792377926*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 9, l: 4}. What is prob of picking 1 r and 1 l?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55\/48 + 3\/16. Let r = 9.7 - 5.7. Put -5, r, s in decreasing order.\nAnswer: r, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) -2\/7 (c) -0.06 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5460 - 5145. What is the least common multiple of 35 and u?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 - (-365 + 377) - (-1 - -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 150. Let s = 4 + -4. Suppose -w + 5*w = s. Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 8*s + 25 = -5*d, -2*s = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1246 - 544. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141673 and 212898.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 32003223130?\nAnswer: -32003223123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 0*r + 0*r**2 - 1 - 1\/3*r**3. Let a(i) = -4*i**2 + 5*i**2 - 1470*i + 1470*i. Give a(t(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 6. Let o be l(5). Suppose -7*y + 3*y + o = 0. Suppose -3*g + 3 = -y. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 29*j**2 - 914*j - 26727. Give k(-30).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 4*c**4 + 2*c**4)*(-2*c + c + 0*c) + (5*c + 2*c - 2*c)*(-4*c + 2*c + 3*c)*(0 - 25 - 18)*(-c**3 - 2*c + 2*c).\nAnswer: 213*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -7354 and -11846 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 11. Let m be q(-7). Let t be 0 + 65 + (1 - -2)\/m. What are the prime factors of 7 - 10 - (2 + -1 - t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*p - 804 + 126 + 60 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 19*d - 10467 - 9808 = 0. What is the remainder when d is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1799298050 to the nearest one million.\nAnswer: 1799000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 8 + 3 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4895 + -4875. Solve -o*m - 106 + 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497783 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 10:10 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - 162*a**3 + 162*a**3)*(6*a + a + a) + (0*a**4 + a**4 + a**4)*(-a + 2 - 2) + 0*a**2 - 3*a**5 + 0*a**2.\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243664 and 1554928.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 2381 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152) - (sqrt(152) + (sqrt(152) - -2*sqrt(152) - sqrt(152)) + sqrt(152))) - sqrt(152))\/(-6*sqrt(24)\/sqrt(3)) + -4 + -3 + sqrt(1216) + 1.\nAnswer: -6 + 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, 1403, 2.\nAnswer: 2, 3, 18, 1403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/16 - 67\/112. Let x = -1 + -4. Let j = 81\/4 - 20. Which is the third smallest value? (a) t (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 + 92. Let r = p + 39.9. Which is the closest to 2\/3? (a) 0.5 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71306 * -137\nAnswer: 9768922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 16. Let a be h(7). Let z(r) = 2*r**2 - 7*r**a - 3*r**2 - 12*r**2. Let c(o) = 4*o - 3*o - o + 5*o - 2*o. Calculate c(z(j)).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*i - 23450 = 6948 + 15427 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (138 - 139)*(-7 + 2 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 12) in base 11?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/9 + h**3\/3 - h**2\/9 - h\/3.\nAnswer: h*(h - 1)*(h + 1)*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11762 + -11762. Solve -103*d + 100*d = y, -d = -3*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 121*r**2 - 467*r + 7. Give y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-2 + 2 + 2*v**5)*(-8 + 0 + 0).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.78068 kilograms to micrograms.\nAnswer: 82780680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144002*v**3 - 141739*v**3 + 6 - 6.\nAnswer: 2263*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:37 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (7\/(-6) + (-10)\/6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 2\/37 (c) 0.085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163\/4 - -39. Let y = -1\/259 + -2327\/1036. Let o = y - s. Which is the smallest value? (a) 4 (b) o (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 405071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8768 and 115\/3288.\nAnswer: 26304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let h(j) be the third derivative of 5*j**4\/6 + 16*j**2. What is h(p(d))?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y, 0 = 2*u - 4*y - 4. Suppose -d - 23 = 5*i, u*i - 7 = 5*d - 0*i. Let k = -0.9 - -0.5. Sort 1, k, d in ascending order.\nAnswer: d, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21329911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 29. Let d be l(5). What are the prime factors of ((-12)\/14)\/(-3*d\/4725)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 - 10)\/((-3)\/(-267)). Let y = -442 + v. Let m = -0.3 + 5.3. Sort y, -2\/15, 1\/5, m.\nAnswer: -2\/15, 1\/5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265 (base 10) to base 13.\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) -2\/13 (b) 2 (c) 2\/71 (d) 4\/7 (e) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 156 = 2*j, 3*j - 2*x + 3*x - 199 = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6405 - 6770.25. Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 1086*o + 2715800.\nAnswer: -2*(o - 925)*(o + 1468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/21)\/((-5)\/(-6)). Suppose 2*s - 123 = -3*w + 92, 0 = 5*w + 15. Sort s, -3, k.\nAnswer: -3, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5691*s + 5691*s - 319*s**3.\nAnswer: -319*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 + 7*d + 3. Suppose 73*v - 345 = 58*v. Suppose v*h = 29*h - 48. What is l(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 31794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.032 and -17.\nAnswer: 0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*l**6 + 19*l**6 + 61*l**2 - 27*l**6 wrt l.\nAnswer: 1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(42)\/sqrt(6).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3958976, 7917952, 11876928, 15835904, 19794880, 23753856?\n\"Answer: 3958976*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.7 + -2.8. Let t = m + 6. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.2 (c) 8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103445.\nAnswer: 5, 17, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 34*l**2. Let j(n) be the third derivative of 0*n + 0*n**3 - 1\/12*n**5 - 40 - 2*n**2 + 0*n**4. Determine j(c(y)).\nAnswer: -5780*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/10)\/n*n**16\/n*n)\/(n**3*n**(4\/3)*n))**(-2\/53) assuming n is positive.\nAnswer: n**(-287\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1 - o**2 - 1. Let b(i) = -45*i. Let a(z) = 4*z + 7. Let n(g) = g + 2. Let s(v) = 4*a(v) - 14*n(v). Let r(d) = -2*b(d) - 42*s(d). Calculate r(c(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -357 + 360. Differentiate 9 - 130*b**3 + 11*b**z - 24*b**3 + 3 wrt b.\nAnswer: -429*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -138. Suppose -5*d + 0*d - 315 = -5*x, a = -5*x - 5*d + 325. Which is smaller: x or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + 9*h + 9. Let w = 3 - 12. Let l(c) = 3 - 2*c - c - 4 + 2*c. Suppose 3*m + 1 = -2. Determine m*r(v) + w*l(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305 + 986. Suppose 24*q - a = 21*q. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/13, -0.1, 4 in ascending order.\nAnswer: -0.1, 0, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 + u - 6. Let l be k(5). Suppose 17*n - 288 = 5*n. Suppose -11*f = 31 + n. What is the nearest to f in 4, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10318)\/134)\/(7\/2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 6. Let l(d) = 5. Give -3*a(y) + 4*l(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(0 - 0 - (-9)\/(-3)). Let u(a) be the first derivative of 4\/3*a**3 + s*a**6 + 0*a**2 - 5 + 32\/5*a**5 + 11\/2*a**4 + 0*a. Factor u(q).\nAnswer: 2*q**2*(q + 1)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34422 - 34374. Let j(q) = 0 - 3*q - 2 - 2*q. What is the remainder when o is divided by j(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2401, -2397, -2383, -2353, -2301, -2221, -2107, -1953?\n\"Answer: h**3 - h**2 - 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/6 + (-3432)\/(-810) - (-6 - 326\/(-54))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11326054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198573.\nAnswer: 3, 66191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a factor of 79627069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315207626?\nAnswer: 2, 673, 234181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7205840.7 to the nearest 10000.\nAnswer: -7210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - 78\/(-18))*1*-1. Let b(v) = -13*v + 34. Let z be b(16). Let f be 2\/(-9) + (-4)\/(216\/z). Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 2, -29\/7 in descending order.\nAnswer: 127, 2, -29\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222059781.\nAnswer: 3, 24673309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 38 - 6. Calculate the highest common factor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Suppose -q + p*q - 624 = 0. Calculate the highest common factor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-35))\/(-3) - (531\/20)\/(-9)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19, 25, 31, 37, 43, 49?\n\"Answer: 6*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9727.02ml in litres?\nAnswer: 9.72702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017653574 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5511686?\nAnswer: 2, 883, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-214804)\/(-40) - -2. Let i = 5352 + a. Calculate the common denominator of -37\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 44, 67?\n\"Answer: 23*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 53225508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 divided by 12?\nAnswer: -383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 1. Let b(u) = 6*u + 8. Let q(w) = -b(w) + 5*g(w). Let s be q(-6). Suppose s = -0*i - i + 4*n, 5*n - 6 = -i. Which is greater: i or -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, q: 10, e: 5}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 21 = s + 4*s, 0 = -3*d + 3*s + 42. Let n = 34 - d. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 - 6*x**2 - 20*x**2. Let d(i) = -3*i - 1. Let u(h) = -4*h - 1. Let m(r) = -d(r) + u(r). What is m(g(n))?\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 9*i + 261, -2*i = -3862*c + 3859*c + 58 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.176 (c) 2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 16 - 8 + 577*m)*(6 + 9 - 2)*(-m**2 + 0*m**2 - m**2).\nAnswer: -15002*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11048 and -0.2?\nAnswer: 11048.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*i + 3*h + 40 = 0, 25*i + 17*i + 2*h + 566 = -494 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -781, -777, -771, -763, -753, -741?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - bbd07eb?\nAnswer: -bbd07e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 2. Let r be p(6). Let c = r + 22. Is c - -1 - (-2 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14108665 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*x = -5, 5*d - 35 = -13*x + 15*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/12360 and -31\/4635.\nAnswer: 37080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*z - 10, 11670*z - 4 = 11671*z + 2*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - a**4 + 4*a**4 - 6*a**4 + 4*a**4 + 41*a**3 - a**2 - 2*a**4 in the form s*a**4 + r + o*a + k*a**3 + j*a**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**2 + 11*u - 8. Let r(n) = 3*n - 9. Let i be r(4). Suppose -h - 13 = 2*z, 0 = -h - 3*z - 18 + i. Is j(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454.5959 decades to centuries.\nAnswer: 45.45959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from krklfklrf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187649386.\nAnswer: 2, 31, 109, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (87\/(-29))\/((-3)\/(-2)) + -12. Let b be 576\/42 + p + 32\/14. Solve x = -o, -b*x + 8 = 5*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**(2\/7)*(s**9*s)\/(s\/(s*((s\/(s**(1\/3)*s))\/s)\/s)*s))**(-16) assuming s is positive.\nAnswer: s**(-1952\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.54093+25004.6583\nAnswer: 25005.19923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 17*f - 837 = 0. Let y = -95 - f. Sort y, 2, 6 in descending order.\nAnswer: 6, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -18. Let g be 22 - (1 + k)*1. Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 19 - 11. Suppose -3*a = -k*a + 12. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -71*o + 0*o**4 + 3\/20*o**5 + 0*o**2 - 1\/2*o**3 + 1. Factor m(s).\nAnswer: 3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1001011100010110100101111010?\nAnswer: 1001011100010110100101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 2*m. Let n(b) = -b**2 + b. Calculate n(u) + z(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -403, -390, -363, -316, -243, -138, 5?\n\"Answer: u**3 + u**2 + 3*u - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 9, -4, -23, -48?\n\"Answer: -3*p**2 + 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f - 1. Let w be (-1)\/(5\/20*-2). Let a(s) = -1 - s**w + 3*s - 3*s + 3*s - 4*s. Let c(o) = -o**3 + 3*o**2 + 3*o + 3. Calculate f*c(i) - 3*a(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v**3 + 9*v**2 - 13*v + 4. What is b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100900999*f**2 + 39411953*f?\nAnswer: -201801998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 + 8*r - 53. Give a(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.59 - -29.59. Which is the closest to 1? (a) j (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4411\/10025*(-306)\/187.\nAnswer: -18\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 28, 59, 102, 157, 224, 303?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 460.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**3 - 3*c**2 + 14*c + 15. Let r(s) = -14*s**3 + 4*s**2 - 15*s - 16. Let k(u) = 3*d(u) + 2*r(u). Is k(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 17*m + 180. Let s = m + 74. Let v(a) = -s*a**2 - 4 + 10*a**2 + 5. Give v(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073 is divided by 788?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 238674 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4352\/27 - 21733\/135. Suppose -m + 0*m - 5 = 0. Put l, 5, m in ascending order.\nAnswer: m, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 25*k**2 - 9*k - 55. Is m(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 74\/(-8) - (-1)\/4. Let s(j) = -j**2 - 10*j - 7. Let a be s(i). Suppose -5*c - 3*r + 21 = 0, 0 = a*c - 3*c + r + 1. Solve -2*v - 7 - c = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2490 + 189247\/76. What is the common denominator of 17\/254 and n?\nAnswer: 9652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 74 + 146 = 135 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 5) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1009 - -1011. Let h be o + 56\/90*-3. Which is the biggest value? (a) -4\/13 (b) h (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0*k + 2*k + 0*k) - 2*k + 4*k - 3*k + 3 + 12*k + 4 - 11*k.\nAnswer: -4*k + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 3)\/(1 - 2). Suppose a = 2*u + 3*u. Suppose u = g - 8 - 22. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 10*w + 2. What is p(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2576*b - 38169. Determine l(15).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*z + 4*z. Suppose 3*i - 5*i - 3*b = z, -b - 24 = -5*i. Solve 0 = -5*k - i - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:18 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(32\/(-140))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1110110?\nAnswer: -1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-1) - 48\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 - 0.254. Let b = -1 - -1.02. Let v = j - b. What is v rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3088794 divided by -6\nAnswer: 514799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1348785459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4366 is divided by 167?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*k - k**2 + 0*k**2 - 2*k**4 + 139*k + k**2 + 6*k**3 as y + r*k**4 + c*k**2 + g*k**3 + j*k and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 4. Let l(c) = -9*c. Give u(l(t)).\nAnswer: 9*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(8\/(-16)) - (10 + -17 + 41)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 - 557464170*q + 15538315041689445 = 0?\nAnswer: 55746417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 5*a - 2*a**5 + 7*a**5 + 2*a**5 + a**5 - a**5 + (2*a**2 - a**2 - 3*a**2)*(a**3 + 4*a**3 - 3*a**3).\nAnswer: -a**5 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + z**2 - 5*z**2 + (97*z + 33*z - 182*z)*(0*z - 4*z + z).\nAnswer: 154*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211 - 12221102?\nAnswer: -20022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-898)\/3592)\/((-2)\/(-224)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11172 divided by -57?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.854 + 4.146. Let m = 11\/15 - 4\/3. What is the closest to m in l, -1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - k**5 - 2*k**5 + (-k**2 + 3*k - 3*k)*(-4*k - 2*k**3 + 4*k) + (-k**2 + k**2 - 2*k**2)*(-k**3 - k**3 + k**3).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -222322 (base 4) to base 8\nAnswer: -5272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:52 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39819, -166703, -378177, -674241, -1054895?\n\"Answer: -42295*b**2 + b + 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = -o. Let d(p) = -114*p**2 + 118*p**2 + 3 - o. Let t(z) = 4*z**2 - 4*z**2 + 5*z**2. Determine t(d(i)).\nAnswer: 80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2.93151640155296\nAnswer: -2.93151640155296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-21)*(-6)\/(-14). Which is the third biggest value? (a) -1\/2 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8766?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*s + 12*s = 2749 + 8647 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 3*s**2 + 4*s - 1. Let m be c(-3). Let o = 29 - m. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Let g = -4.7 + a. Let v = g + -0.1. What is the second biggest value in v, 5, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 25. Calculate the remainder when 149 is divided by p(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -19013*h**3 - 4*h**2 + 2*h + 4. Suppose 0*c - 6 = 6*c. Is k(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i + 33294. Let p = 155453\/14 - i. Find the common denominator of (-2 + 41)\/(1 + -23) and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139673, -279289, -418901, -558509?\nAnswer: -698113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 2*a + 2*a + (-24869*a + 60187*a + 1526*a)*(-2*a - 3 + 3) as t + i*a + u*a**2 and give u.\nAnswer: -73690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -3a578?\nAnswer: 3a572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 293, 500, 843, 1322, 1937, 2688?\n\"Answer: 68*m**2 + 3*m + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Let h(m) = -m**3 - 3*m**2 + 3. Let d be h(i). Suppose d*s + 2*c - 8 = 0, s - c + 2 = -4*c. Solve -s*b - 8 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 26*w**2 - 66*w - 96. What is j(23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 12 = 21*g + 3*r, -3*r - 39 + 27 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 6*t - 3. Let o be c(7). Let g be (-552)\/(-28) + o\/14. Suppose -g = -0*d - 4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230634, -230567, -230500, -230433, -230366?\nAnswer: -230299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 211 and 0.034802?\nAnswer: 210.965198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 3, 4, 5, 3904 in descending order.\nAnswer: 3904, 5, 4, 3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -69*y**2 + 2*y**3 + 2 - 3*y + 69*y**2 - y**3. Let d be q(0). Suppose 5*i = 3*s + 16, -4*s + 0 = 5*i - d. Solve -3*t = i*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 4. Let u(r) = 5*r - 5. Let c(l) = -4*u(l) - 5*y(l). Let t(f) = 9*f**2. Determine t(c(b)).\nAnswer: 225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*p = 14*p - 3861 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43.87835*-3\nAnswer: -131.63505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 = d - 354, -c + 6 = 2*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 41*s**2 + 892*s + 1116. Determine b(57).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4392433?\nAnswer: 4392433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.1. Let r = j - -0.0999999. Round r to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.02444499 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 10. Let r be (5 - 0)*(1 - 2). Let i be v(r). Let y = 37 + i. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:17 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -73, -79, -85, -91?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 39*t - 140000. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 4. Let c be i(0). Suppose o + o - 10 = 0. Suppose -r + o*r = c. Solve 5*h = -3*q + 18, 2*q + r = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 19\/7, 190?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 3*j - 3*j + 1 - 2*j**3 - 1 + (2*j + 0*j + j)*(1 + 2*j**2 - 1) to the form a + l*j**3 + u*j + z*j**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m. Let b be (8 - 9\/3) + -3. Determine p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(3\/(-24)). Suppose 5*n = -4*l - t, 3*n + n + 3 = -l. Suppose n = -2*d - d. Solve d = -2*q - 3 - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 8. Let n(d) = -d. Let g(l) be the third derivative of -l**4\/6 + l**3\/6 + 62*l**2. Calculate f*g(h) + 3*n(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -1, 5, 6 in ascending order.\nAnswer: -7, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39718 (base 11) in base 10?\nAnswer: 56768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -19, -16912.\nAnswer: -16912, -27, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**9\/15120 - k**8\/4480 - k**7\/5040 - k**4\/12 + k. Let h(g) be the third derivative of z(g). What is t in h(t) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69904102*i**2 - 33660238.\nAnswer: 139808204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5 + 4*f**2 - 6*f - 5*f**2 + 3*f**2. Suppose 20*p + 157 - 37 = 0. Let r = 0 + -5. Let w(q) = -3*q**2 + 7*q - 6. Determine p*v(c) + r*w(c).\nAnswer: 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 3 - (10 - 22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxvbj. Give prob of picking 1 b and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1421992, -2844175, -4266358, -5688541?\nAnswer: -7110724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 210 + 30. What are the prime factors of p\/2*4\/18*-12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 12\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10161622 or 10161621?\nAnswer: 10161621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 5. Let b be x(-5). Let z = -337\/2 + 48863\/290. Which is greater: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 22*l**2 - 711. Let k(i) = 4*i. Calculate k(q(u)).\nAnswer: 88*u**2 - 2844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1767 and 87673828.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 - -442. Let m(y) = -y + 21. Determine m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-5)*2\/(-6). Suppose -3*w + 5*w = -4. Is x smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16240049*f**2 + 6*f + 11. Let k be i(-3). Suppose k = 12*m - 53039566. Round m to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 2*h**3 - h**4 - 2*h - 15 + 5*h in the form t + l*h**3 + j*h + m*h**2 + q*h**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16337?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10054868 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2236, 72, 7 in decreasing order.\nAnswer: 72, 7, -2236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*m**4 + 28 + 10 + 14 + 22 + 12 wrt m?\nAnswer: 504*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by (-24)\/(-18) - ((-87)\/9 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -63. Let z = -0.3 + 0.2. Which is the third biggest value? (a) 4 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -25*g - 3. Let d be 4\/(-2)*-7 + 0. Suppose -t + 2 = -2*h, 0*t + 5*h = -2*t - d. Is i(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*b - 20. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 159*y**2 + 2695*y + 40. Calculate the smallest common multiple of n(-17) and 693.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 37. Let q = t - 16. Factor 2\/9*n**5 + q + 2\/3*n**3 + 0*n - 2\/9*n**2 - 2\/3*n**4.\nAnswer: 2*n**2*(n - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 595 by 5.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.2, -1\/4, 11\/3, -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47808 is divided by 7963?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/6 + 5 + -2. Put 10, s, 5 in ascending order.\nAnswer: s, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 208703.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -387 + 392. Sort -0.1, b, 3 in increasing order.\nAnswer: -0.1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let y be (4 + d)\/(4\/46). Suppose -a + 2*a - 4*f - y = 0, -5*a + 81 = -3*f. What is the highest common divisor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -637779*n**6 + 818750*n**2?\nAnswer: -76533480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359290849.\nAnswer: 359290849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 319521 to the power of 1\/2, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*c**5 + 49*c**2 - 49*c**2 + (-c**3 + 5*c**3 - c**3)*(-5*c**2 + 4 - 4).\nAnswer: -27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46284 and 103341?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l - 29. Is l at most as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/3672)\/(2\/12)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1225)\/50)\/(-49)*-34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1566635 divided by 2633\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1131 + -822. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 129. What is the remainder when 115 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.183 and -0.2.\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -t + 54, 7*t + 3*a - 140 = 3*t. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16015 + -5921. List the prime factors of b.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 9*s**2 + 6*s - 8. Let w(q) = 13*q**3 + 26*q**2 + 18*q - 17. Let a(z) = -10*m(z) + 3*w(z). Give a(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 31*m**5\/60 + 73*m**2 + 2*m + 16. Let f(h) = -5*h**2 - 23*h. What is f(x(y))?\nAnswer: -4805*y**4 - 713*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -17*u**6\/15 - u**3\/2 + 57*u**2 + 2*u - 191. Find the second derivative of d(v) wrt v.\nAnswer: -408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 + 2*k**2 - 10 - 7*k**3 + 8 - 4*k + 5 + k**2 in the form i*k**2 + z*k**3 + r + v*k and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5849.5 - -5849. Which is the second smallest value? (a) -0.9 (b) -4\/9 (c) g (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -5) + (-6)\/3 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*8*7\/(-1596)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20566 - 9800. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -5. Suppose -10 = 4*c - 0*x + 5*x, 0 = 4*c - 3*x - i. Suppose -4*v = -c*v - 60. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(3\/309678). Let d = -131613 + b. What is d rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b22 (base 14) in base 11?\nAnswer: -316a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208240 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a - a)*(-3222 - 436 - 2411 + 1006).\nAnswer: 10126*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 23 = 4*t - 2, -1328*t + 1335*t = 6*v + 46 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 4, -87, -8 in decreasing order.\nAnswer: 4, -3, -4, -8, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/(q\/(q\/((q*q\/(q\/((q\/q**(6\/11))\/q)))\/q)))*q\/(q**1\/q)*q*q**2)**(-2\/75) assuming q is positive.\nAnswer: q**(18\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 180513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 16. Suppose -a*z = z + 4*o - 274, -2*z - 2*o + 110 = 0. Suppose -6 = -n - 0. What is the greatest common divisor of n and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/(-10) + (-3)\/(-5). Let o(s) = s**2 - s + 2. What is the remainder when o(2) is divided by (i + 5)\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -532.3 - -456. What is z rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h. Let f(s) = s**2 + 2*s. Let v be 2 - 2 - (-3)\/1. Let t(z) = v*f(z) + 5*m(z). What is the second derivative of t(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(((-1071)\/(-918))\/((-21)\/6))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18 - -18)\/(-1 - 3). Let r(i) = -i - 12. Determine r(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1036177 and 6645.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 87, -447, -1195, -2157, -3333?\nAnswer: -4723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b - 41*b + 808 = 79*b. Solve -b*m + g - 23 = 0, -2*m - 5*g - 9 = -6*g for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6647 and 60191.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 10*p + 3. Let r be b(-10). Suppose 0 = r*c + 3*m - 117, -2*m - m - 47 = -c. Suppose -3*x + 3*g + 144 = 0, 4*g - c = -x + 32. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 286375599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*r - 96 + 1701 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0.11719\nAnswer: -1.88281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1662462 and -737.\nAnswer: -1663199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = -9. Let v be (-5 + 36\/8)*0. Calculate the remainder when (v + 1)\/(14\/462) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1150 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 12*x + 2. Let q be d(-11). Calculate the greatest common divisor of 1105 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1 - (33 - 14 - 6)) + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187242587 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 137994 divided by 1\nAnswer: 137994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 47 - 59 = 0. Let v = 195 + y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5\/2 (c) 1\/3 (d) -57 (e) 214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6174 divided by -3087\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 28*a - 98.\nAnswer: -2*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3080 or -3064?\nAnswer: -3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000001 (base 3) in base 9?\nAnswer: -31001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2*u + u - 5*u) - 898132 + 0*u + 896770 - u.\nAnswer: 3*u - 1362","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uubtbubutub.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 15*v - 8. Let x be 15*(5 - 6)\/(0 - -1). Let z be r(x). Calculate the remainder when 38 is divided by (-140)\/z*(-12)\/(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -47*s - 51. Let a be w(-5). Suppose 4*q + 68 = -5*k - 126, -a = 4*k - 4*q. Which is greater: k or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*z = -0*u + 46, -u - 2*z = -22. Let b(c) = 45*c**3 - 18*c**2 + 18. Let g(o) = 13*o**3 - 5*o**2 + 5. Give u*g(r) - 5*b(r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21304 (base 16) to base 15.\nAnswer: 2a42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -142?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c087 (base 14) to base 10.\nAnswer: 570871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 2*b**2 + b**2)*(15*b + 22*b**3 - 21*b - 37*b**3).\nAnswer: 45*b**5 + 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4719609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c = 50*c + 72 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172872 divided by -882.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240) - (2*sqrt(2240) + sqrt(2240)) - sqrt(2240))\/(sqrt(180)*-3) + ((sqrt(105)*-1)\/sqrt(5))\/sqrt(3) + 3*(sqrt(21)\/sqrt(3) + 5))**2.\nAnswer: 100*sqrt(7) + 2725\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/4 - 9*r**2. Let q(f) = -38*f. Determine i(q(o)).\nAnswer: 228*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 31*b**2 + 622*b - 192. Does 18 divide p(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 - -186. Calculate the greatest common divisor of 72 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 94. Let y = -4 + 1. Which is the closest to 3? (a) y (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 6*z**2 + 20*z - 6. Calculate the lowest common multiple of d(8) and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 23. Let q = -381 - -1133\/3. Which is the nearest to -1? (a) w (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54701 and -0.3817180643.\nAnswer: 54700.6182819357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 0*d - 329 = 0. Suppose 139 + d = 6*p. Suppose 4*l + 51 + p = -2*z, 0 = z + 4*l + 49. Does -32 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 1. Let i = h + 12. Let k = i + -2. Calculate the greatest common factor of 33 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.875 - 4.675. What is the biggest value in -4\/3, 1, v, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17*v**2 + 17*v - 1. Let w(m) = -26*m**2 - 26*m + 1. Let z(n) = -10*a(n) - 7*w(n). Factor z(h).\nAnswer: 3*(2*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.688\nAnswer: 1.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32348983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 970704 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332 - 116*x - 166 - 166)*(2*x**2 - 4*x**2 + 3*x**2).\nAnswer: -116*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxgggwgxqcx. What is prob of picking 2 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -32123311110?\nAnswer: 32123311111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*p - p + 204, 3*p - 619 = -4*v. Suppose 0 = -209*x + p*x + 680. What is the highest common divisor of 425 and x?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, 0.4, -307\/2 in decreasing order.\nAnswer: 2, 0.4, 0, -3, -307\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000788895544 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Calculate the smallest common multiple of 33 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 9*u**2 - 6*u + 2. Let w be a(8). Let y be 698\/29 + -2*(-29)\/(-841). Calculate the highest common divisor of y and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349716 divided by -58286?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9\/6*(7 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 23 + 6 = 25 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 94*d**2 + 2*d + 91. What are the prime factors of x(-25)?\nAnswer: 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4898128 millennia to months.\nAnswer: 5877.7536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:15 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3998620 and 69\/39986200?\nAnswer: 39986200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07309 - -0.0768. What is t rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12644d (base 14) in base 12?\nAnswer: 265885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 10*y + 138. Let g = y + 23. Solve g = -4*p + 4 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/60 - (-2 + 16\/10). Which is the biggest value? (a) x (b) 4 (c) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/(-32))\/(-11)*(-6)\/(-10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*w = -1877 - 15273 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 3*u - 14. What is the smallest common multiple of 6 and b(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 3*q**2 + 2*q - 3. Let s = 9 + -12. Let g be 1\/(s\/12*-2). Let k be h(g). Solve -k*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 0.011 (c) 1\/11 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7656 divided by -232\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.88 + 1.96. What is the nearest to 1 in 1\/3, -5, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6211 - -6210.8. Sort -26, -1\/2, 0.5, g.\nAnswer: -26, -1\/2, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 531 = 1297. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + y**5 + 0*y**5 + (3 - 3 - 2*y**2)*(4 - 2*y**3 - 4) + 2*y**5 - 2*y + 2*y + (0*y**3 - 5*y**5 + 0*y**3)*(-3 - 1 - 9).\nAnswer: 72*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2048 and 1112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0 + 2*v + 1\/4*v**4 + 0*v**3 + v**2. Find the first derivative of c(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 11:09 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9 (b) -9\/2 (c) 0.3 (d) 5 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29379332 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.354 + -20.354. Let f be (84 + -1 - 0)\/50. Let l = 1\/150 + f. Sort l, -13, u.\nAnswer: -13, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3337\/94)\/71*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -487*m + 492*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from vova.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from apbbeeb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1732495 and -12386.59?\nAnswer: 1744881.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1057 (base 9) to base 8.\nAnswer: -1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -9*r + 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:25 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzq when three letters picked without replacement from {q: 1, l: 1, z: 5, b: 3, g: 4, y: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11442 - -19555. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c4c - -41?\nAnswer: -1c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-5)*(-136)\/(-2312).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85269491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 4 + -2 + -2. Let g = 6 - r. Suppose 2*j = 3*j - 5*q + 3, -4*j = -q + 12. Which is the nearest to g? (a) -2\/11 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84.21 + -0.59\nAnswer: 83.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -4*g**6\/3 - 2*g**3\/3 + 12. What is the third derivative of p(l) wrt l?\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-24*7\/105\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1608\/798 - 2) + 0. Suppose -132*s + p*s - 51 = 0. Calculate the greatest common factor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-5)\/(-240))\/(15\/20)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 786, 3730, 8672, 15606, 24526, 35426, 48300?\nAnswer: 63142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19730 - -39103. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000 and 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*j + 37 = 0, 2*j + 3*j = -t - 23. Solve -37*l + t = -44*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20\/11 + 173\/77. Is 0.3 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:40 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455670189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u - 85. What is the least common multiple of y(25) and 690?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674423797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311 - -435. Calculate the remainder when i is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - c + 17 = 3*c, 3*f - 5 = 2*c. Suppose 5*p + 4*h = f + 12, 4*p + 5*h - 12 = 0. Let j be (-3)\/12*(14 + -18). Sort p, 5, j in increasing order.\nAnswer: j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 = 1. Let d = y + -20. Suppose -4*g - 5*t - 100 = d, -g - 4*g - 4*t = 116. Round g to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1.7415.\nAnswer: 0.52245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118.4 - 118.5. Is u != -2.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 + 85992*s\/13 - 924328008\/13.\nAnswer: -2*(s - 21498)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 11, -0.5, 2, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 3*x + 20. Let f be 9\/x + (-7)\/28. Solve 0 = -3*j - 2*r + 16, 2*j + f*r - 9 = r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 940 = -2*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118059.\nAnswer: 3, 23, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/60 - 5*n**4\/12 + 10*n**3\/3 - 107*n**2. Calculate m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/22 and -49\/1362.\nAnswer: 14982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23\/3, 1, -2, 0 in ascending order.\nAnswer: -23\/3, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10001000001000011011101?\nAnswer: -10001000001000011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 115346777?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/10)\/k)\/k)\/((k**(4\/15)\/k)\/k))**(10\/7) assuming k is positive.\nAnswer: k**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0333 in -3, 0.6, -4, 1\/16, -15.4?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*q - 482 - 113 - 232 = 307 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 1870.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - 450\/4. Let w be (4\/(-10))\/(44\/9680). Let p = w - f. What is the remainder when p is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.09 (c) -2 (d) -0.5 (e) -11\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/24 - x**3\/3 + 2*x**2. Calculate the remainder when 13 is divided by p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:09 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 35*l**2 - 3*l + 1. Let w(q) = q - 3. Let i be w(5). Let f be u(i). Calculate the highest common divisor of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -22*q**3 - 374*q**2 - 11*q + 94. Determine b(-17).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12*-23349\nAnswer: 280188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = -292*k + 289*k, 5*k - 2*d = 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.1. Suppose -302 = 11*l - 169*l + 7*l. Which is the biggest value? (a) 1\/2 (b) u (c) l (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*n + 8 = -8, 5*v - 3*n - 12 = 0. Sort 0.5, v, -1, -0.5 in descending order.\nAnswer: 0.5, v, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 513566617*q**5 - 87250534*q - 2 wrt q?\nAnswer: 10271332340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 646189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312 = 38*b - 22*b. What is the greatest common factor of 1517 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 95.\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1766 (base 8) to base 11.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Suppose -o + t*j = -10 - 30, -4*o - j + 160 = 0. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -1.97. Let z = 4 + t. Let g = 6 - z. Which is bigger: g or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4824 is divided by 1205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*v - 38*z + 36*z, -4*z + 32 = 12*v - 0*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a. Let p(g) = -g**2 - 56544*g - 327. What is p(i(b))?\nAnswer: -9*b**2 - 169632*b - 327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -1010101?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3657 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111111001 + -1110011011?\nAnswer: -10001110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-16 + -1 + 2 + 54)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1154 + 15135?\nAnswer: 20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f - 4. Suppose f*g = 7 + 3, 0 = -5*p - 3*g + 186. Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099292 rounded to five dps?\nAnswer: 0.00993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Suppose 0 = w*v - 2*p - 2456, 0 = 5*v + 6*p - p - 3070. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**5 - 103100*x**3 + 2380*x**2 + 86*x.\nAnswer: -360*x**2 - 618600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 14.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 201, 171, 127, 63, -27, -149?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(0*a + 0*a + a) + 114*a - 106*a + 681*a in the form r*a + b and give r.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 + 8 = 0. Suppose -p = -10*x + 9*x. What is the least common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 c when three letters picked without replacement from ssllsldslc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 415*q**2 + 3659*q - 2031. What is y(406)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-27) - (-187)\/27\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1114155988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f**3\/2 - 243*f**2\/2 - 78*f - 10 = 0 for f.\nAnswer: -2\/5, -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 311996, 311997, 311998?\n\"Answer: u + 311995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388609729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029259 rounded to four dps?\nAnswer: -0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000220 (base 3) in base 16?\nAnswer: 5ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 7*f + 637 = 0. Calculate the remainder when f is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1601 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41622 + 41625. Solve x - 1 = 3*p, -w*p + x = 3*x + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*p - 8627 = 1136 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 9*c + 30 = 0. What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*k = 0, 35 = -4*m - 35*k + 32*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.284 - 2.926. Let w = 17.51 + l. Round w to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55919 and 597?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**4\/3 + 11*j**3\/6 - 9*j**2. Let z be ((-36)\/30)\/(2\/15). Calculate the remainder when r(z) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 4027 = 6173. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -31. Let m(h) = -4*h**2 + 3*h**2 - 2*h - 18 + 7 + r. What is m(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = 4*h - o, 4 = -2*o. Let b be h - (0\/2 + 7). Sort 1, b, -1.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 162 + 15. Let a = w + 193. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/(-25))\/((-1)\/(-5)). Is 15 a factor of 8\/m*(-49 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*z - 42*z + 56. Let k(t) = 1 + 102*t**2 - z + 4*t - 103*t**2 - 3. Let d be 5*-2*(-2)\/4. Calculate k(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/653179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 52, -2\/3, -3\/2, -0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/2, 0.0119 in decreasing order.\nAnswer: 3\/2, 0.0119, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 + 15*g**3 - 249*g**2 + 765*g - 702 = 0. Calculate g.\nAnswer: -13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156954 and 4.5.\nAnswer: 706293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -56. Let l(r) = r**2 - 8*r - 1. Determine l(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + 7 + -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y + 4*c - 14779996 = 0, 0 = -2*y + c - 14779999. Round y to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tllhhllxllhl. What is prob of sequence tlx?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from whh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7570702 (base 9) to base 14.\nAnswer: 77a388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -504599 (base 12) in base 15?\nAnswer: -19ae09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 - 188 = -2*x, 5*x + 3*j - 508 = 0. Which is smaller: 100 or x?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15486, -15487, -15488, -15489?\nAnswer: -15490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 50 - 6 + 37 - 5 + 8*n + 5.\nAnswer: 4*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/14 - h**6\/10 + 3*h**5\/4 - 3*h**4\/4 - 18*h. Solve k(m) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16354 + 81319. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8967.55 and 2.4.\nAnswer: -21522.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -8. Let g be 8\/(-2) + (-14)\/(924\/(-55)). Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -20. Put n, -2\/9, 5 in ascending order.\nAnswer: -2\/9, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 - (4 + -1 + 8 + 0 - 66).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Suppose 2*v = 4 - 10, -2*k + 3*v = -29. Calculate the lowest common multiple of k and t*11\/2*-1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a factor of 30584588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, 9, 2, -17 in increasing order.\nAnswer: -17, 2, 9, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {g: 1, y: 1, v: 2, h: 1, l: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*b + 1446 = 2656 + 2210 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3*sqrt(504) - sqrt(504))*5)\/(sqrt(77)\/(sqrt(44)\/sqrt(4)) - (6*sqrt(7)*-2 - sqrt(7))))**2.\nAnswer: 7200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/4147 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 160 - 159 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 429701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 22. Calculate r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -282*j + 66. Let b be q(-3). Calculate the greatest common factor of b and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6120 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.091 - -0.309. Let r = -1.2 - -0.2. Which is the closest to r? (a) l (b) 1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v - 92*v + 177*v**2 + 53*v - 179*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 + 7 - 6) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 272\/24 - (-1)\/(-3). Suppose 4*z = 163 - n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180384*c**3 + 563*c**2 + 28*c.\nAnswer: 1082304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5546, 5279, 4834, 4211, 3410, 2431, 1274?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3225*n = -2*y - 3227*n - 24, 5*y - 2*n = -60 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 + 6022.89.\nAnswer: 5937.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.1. Let s = 4 + j. Let u be (-2)\/20 - (-2)\/(-5). Put u, s, -2\/11 in descending order.\nAnswer: s, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1763 times 0.00125\nAnswer: 2.20375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2 + -2 + (sqrt(5) - sqrt(15)\/sqrt(3)) + 1)**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/360 and -137\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 962, 1778, 2594, 3410, 4226?\n\"Answer: 816*v + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680752 a multiple of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10461233 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -92 - 140. Let p = y - 33. Suppose t = -3*v + p, 2*v + 7*t - 26 = 4*t. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -132, -229, -306, -357, -376, -357?\n\"Answer: d**3 + 4*d**2 - 116*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 16*k + 126. Let w be m(6). Let l be ((-12)\/5)\/(w\/(-280)*-7). Solve 0 = -37*y + 33*y - l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330327 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.9 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265352907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34889837, -69779678, -104669519?\n\"Answer: -34889841*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k**3 - 3*k**2 - 3*k + 5. Let n(y) = 19*y**3 + 5*y**2 + 5*y - 9. Give -5*m(x) - 3*n(x).\nAnswer: -7*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/11 + 8*w**3\/11 + 2*w**2\/11 - 32*w\/11 + 24\/11 = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 9160959.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 60.9. Let h = u - 0.1. Sort -2, h, -5 in decreasing order.\nAnswer: -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - 2) + -7 + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-20) + 5*1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 3, y: 5, b: 1, f: 1}. What is prob of picking 1 f and 1 d?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/16 and 111\/10682?\nAnswer: 85456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4435.7 + -4436. Let o = -9\/14 + 5\/14. Which is bigger: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35577, -35598, -35633, -35688, -35769, -35882, -36033, -36228?\nAnswer: -36473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 642*f + 35. Let p(w) = -215*w - 11. Let g(x) = 4*o(x) + 11*p(x). List the prime factors of g(3).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -701\/33902 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 2, -4\/3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -1\/3*v**3 + 0*v**4 + 0*v + 0 - 1\/60*v**5 - 6*v**2. Determine t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + f = -2 - 2, 0 = -j + f - 2. Let p(v) = v**3 + 2*v**2 - 4*v + 1. List the prime factors of p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*d + 9, 0 = -4*d + 3*b + 44 - 41. Solve 7*c = d + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 20. Suppose -5*r = -23 - 17. Calculate the highest common divisor of r and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -585 - -993. Is 51 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152 - -4?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*v + 30 - 12*v + 4 + 0 wrt v.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -2. Suppose -2*k = -k - t. Solve -3*x + 0 = k*d - 5, d = 5*x - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + f + 3)*(-4 + 4 + 3)*(3 - 3*f**3 - 3) in the form o*f**2 + y*f**3 + r*f + b*f**4 + s and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 280090 rounded to the nearest 1000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:29 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0170947 to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 43*a**3\/2 + 14*a**2 + 53*a - 94. Let k(q) be the first derivative of v(q). What is the derivative of k(f) wrt f?\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(-2 + sqrt(2299) - sqrt(2299)))**2.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 123*u**2. Let l(a) = -463*a**2. Calculate o(l(f)).\nAnswer: 26367387*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 16 - (-12)\/1. Let m be ((-35)\/(-2))\/(5\/w). Calculate the greatest common factor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11595589.2 to the nearest one thousand.\nAnswer: 11596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*u - 11. What is the units digit of (-2 - 31*u) + 0 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6279\/(-84) - 19)\/(3\/(-123056)). What is x rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.293759 kilometers in meters?\nAnswer: 5293.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*y**2 - 9*y**3 - 47*y**2)*(-29*y - 4 + 4 + 6*y).\nAnswer: 207*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + c - 14, -20 = -4*t - 6*c + 2*c. Let g(y) = -7*y - 3 + y**3 + 1 + 6*y + t. Let j(a) = 6*a**3 - a + 1. Determine g(x) - j(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787925177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f - 24 - 12 - 11*f - 6. Let i be b(-9). Find the third derivative of 124*c**6 - 228*c**6 + i*c**6 + 0*c**2 - 5*c**2 wrt c.\nAnswer: 4080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269*0.05692\nAnswer: 15.31148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664656 and 767136?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22211959 to the nearest integer?\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -2*v - 63 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -153 - 0.09\nAnswer: -153.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*n - 15*n + 14*n)*(2*n**4 - n**4 + 0*n**4).\nAnswer: -47*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -20112011000210?\nAnswer: 20112011000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80781 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 59. Let f be n(27). Put f, -2, -1 in descending order.\nAnswer: -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-27)*(36 - 0). Suppose 68*y - 62*y - v = 0. Let t(o) = o**2 - 7*o + 13. What is t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 21 = -29. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205 - -214. Solve -6 = -5*u + z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50825024 is divided by 25412512.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -1035, -2223, -3793, -5745, -8079, -10795?\nAnswer: -13893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:11 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4 - c**3 - c**5 - 2*c**3 + 4*c**3 + 0*c**5 - 4*c**2 = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88405*h + 88410*h + 7663 - 7663.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z. Let v(y) = -23*y + 2. Let c(b) = 6*q(b) + v(b). Give c(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/21*12\/(-110)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*u - 118*u + 0*u**2 - 97*u + u**2 - 3 to the form q*u + p + w*u**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - z - 2*z = -12, -4 = -2*k - z. Let y(u) be the third derivative of u**4\/24 + 85*u**3\/6 + 152*u**2 + 2. Is y(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 51. List the prime factors of d + (-7198)\/(-12) + 7\/42.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a millennium in decades?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45090530.\nAnswer: 2, 5, 4509053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 125960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 95 - 17. Solve 3*k + 3 + b = -2*n, 0 = -2*k + 2*n - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 3*h**2 + h - 2. Let s be x(-2). Suppose s = -4*m - l + 599, -m - m - 3*l = -287. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24396 and 2?\nAnswer: -48792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, -4, -471.\nAnswer: -471, -4, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1111002 (base 3) to base 2\nAnswer: -10000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -5 (c) -12 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 121. Let g be q(29). Let f = 1 + g. Solve -3*o + 0*o = -f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 292 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1816*a - 7249*a - 627*a - 10863*a = -1641531 for a.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6702 - -103. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3 - 0. Let b(k) = k - 2. Let u(i) be the first derivative of -i**2\/2 + i + 1. Give o*b(m) + 3*u(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, 0.1, 0, -0.2, -425\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9148 - -4?\nAnswer: 9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8902\/5 - 1773. Calculate the common denominator of v and 35\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 293085208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*q + 7*f - 4*f, -4*f = -16. What is the fifth biggest value in q, -1\/2, -9, 0.4, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 = -4*k, 2*b - 5*b + 3*k - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*((u\/u**4)\/u)\/u))\/(u**(-1\/3)*u)*(u*u**(-2\/11))\/(u\/u**3) assuming u is positive.\nAnswer: u**(236\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 20 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -19, -63, -155, -313, -555, -899, -1363?\n\"Answer: -3*c**3 + 3*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*x**6 + x**4 + 31868*x**3 - 26*x**2 - 390111.\nAnswer: 840*x**3 + 24*x + 191208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(0 + (-3)\/(-13)). Let h = 9 - t. Suppose -5 = 94*q - 99*q, 2*p - 5*q = -11. Put -6, -2, h, p in increasing order.\nAnswer: -6, h, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 4875?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-2 - 1)) + 12 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*(sqrt(117) + 1*sqrt(117) + sqrt(117)))\/(sqrt(225) + sqrt(225)*-1 + sqrt(9)) + ((sqrt(325) + sqrt(325) + 2)*4 - 1*sqrt(325)*-1))**2.\nAnswer: -203262 - 4896*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 1:59 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -20*m. Let x(g) = g + 1. Let y(u) = 2*u + 1. Let h(l) = -4*x(l) + 4*y(l). Give -16*h(w) - 3*o(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 283 = 101. What is the highest common divisor of v and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 - 2093*y + 141764. Give f(92).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 1045?\nAnswer: -1358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d + 36 = 0. Let g be (20\/d)\/(2\/(-24)). Calculate the smallest common multiple of 3*(g\/(-12) + 2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -19. Let z = l + 41. Suppose -463 = -z*o + 429. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10) + (-64)\/20. What is the hundreds digit of 8519\/63 - (8\/(-9))\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - -3) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let f(d) = d**3 + 4*d**2 - 2*d - 1. Let q be f(a). Suppose 3*n - 3*h - q = -2*h, 0 = -2*n - 4*h - 2. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48033 = -992*r - 1409 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 214660719 divided by 1\nAnswer: 214660719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9000 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 3*v. Suppose 9 + 11 = -2*q. Let b = q - -5. Give f(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 11 + 5. What are the prime factors of 1161\/6 - 1 - 6\/c?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -227297 >= -227297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/3, -2, -4, -8\/19, -5, -85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495640?\nAnswer: 2, 5, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**3 - 523783*j**2 + 0 + 6*j + 523783*j**2 - 6*j + 1.\nAnswer: 12*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211 (base 4) in base 16?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 9:46 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -181999 and 10.2?\nAnswer: -1856389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 315034 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Suppose -3 - 6 = -3*u. Let q(j) = -3*j - 5 + 6*j - 4*j - 2*j. Determine u*i(f) + q(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45379260 and 81.95?\nAnswer: 45379178.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*r + 99 - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpqsqqsqp. Give prob of picking 1 p and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 424 + -449. Let x be (v - -26)\/(1\/11). Solve 2*l = -7 + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 59763, 3, 5, 0, -2, 20 in ascending order.\nAnswer: -2, 0, 3, 4, 5, 20, 59763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.5 - 34.5. Which is the third biggest value? (a) -1 (b) k (c) 0.2 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2891 and 882?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*3\/6*49\/(1470\/(-8)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*-5)\/((-20)\/120).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1001\/9 - -111. Sort 2\/19, 0.2, r.\nAnswer: r, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474 + 948 - 58*b + 233*b - 474.\nAnswer: 175*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - -b493a?\nAnswer: b4962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020101 + -20121?\nAnswer: 22222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - 4) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 10*h - 18*h**2 + 10*h.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 - 15*q**2 - 6*q. Let m(k) = -k**3 + k**2 + k. Let a(z) = -g(z) - 6*m(z). What is a(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -16. Let w be (l\/18)\/((-2)\/(-24)). Solve 0*j + w = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-117) - (-23)\/((-9867)\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/2 of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.2 - 14.91. Let v = 28.2 + t. What is the second smallest value in -3, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - 0.1. Let b = r - -4. What is the closest to 0.1 in -5, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6834 and -31\/238?\nAnswer: 47838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2. Let s(k) = -59*k**2 - 4*k - 4. Let c(n) = -67*n**2 - 5*n - 5. Let j(p) = -4*c(p) + 5*s(p). Calculate w(j(u)).\nAnswer: 5103*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 47 + 513 = 0. Is 35 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15083 - -16908. Calculate the remainder when m is divided by 168.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/18252360 and 71\/41067810.\nAnswer: 164271240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1d38b11 (base 14) to base 2\nAnswer: 110111111011010000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 2 - 1*2. Suppose -3*g + 6 + 3 = 0. Suppose -3*o - 32 = -2*f + 2*o, -g*o = 2*f. Solve -f - h = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10898*p**4 - 8*p + 221 wrt p.\nAnswer: 130776*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 278460668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 18017, 2, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.548 - 5.6. Let g = -0.052 - f. Sort g, -2, 5 in descending order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 23*y**8\/420 + 31*y**4\/6 + 47*y**3\/3 + 39*y**2. Let x(k) be the first derivative of h(k). Differentiate x(z) wrt z.\nAnswer: 368*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 62. Let m(c) = -6*c - 4. Let y be m(3). Let q = y - l. What is the remainder when 11 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42177, 84358, 126543, 168732, 210925, 253122, 295323?\nAnswer: 337528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - (-6 - (-364)\/63). Solve x = -g - 1 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70810771 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 151534*b**2. Let l(g) = -g. Give l(y(p)).\nAnswer: -151534*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbzszbfbbast. What is prob of sequence sat?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1334025 + 2?\nAnswer: -1334023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a + 14*a**3 - 38*a**4 + 66*a**4 - 27*a**4 in the form y + d*a + h*a**3 + i*a**2 + c*a**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*c + 42 = 1557*c - s, 0 = 12*c - 2*s - 174 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, -9, -70, -155, -264, -397?\n\"Answer: -12*r**2 - r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 615888 and 5076?\nAnswer: 1847664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 61. Suppose 0 = x*r + c - 3*c - 56, -2*c = -4*r + 46. Suppose 77*o - 82*o - r = 0. Is o at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(2) + -1 - (sqrt(72) + -1).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14400*l**2*o**5 + 126*l**2*o + l**2 - 199*l*o**5 - 9*l*o + 19*l + 19 wrt o.\nAnswer: 288000*l**2*o**3 - 3980*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 211*n**3\/3 + 593*n**2\/2 - 2*n - 829. Differentiate g(v) wrt v.\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.069 (b) -5\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5710 and -109\/190.\nAnswer: 108490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n - 1)*(20*n**2 + 28 - 28).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**3 + 85*h**3 + 241*h**3.\nAnswer: 308*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10 and 85\/368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1274*c**4 + 3176*c**2 wrt c.\nAnswer: -30576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 11 = -4*j + 4*l, -j - l - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1070\/50 + (-2)\/5. Let u = s + -16. Factor 2\/9*g**4 + 0*g - 2\/9*g**2 - 2\/9*g**3 + 0 + 2\/9*g**u.\nAnswer: 2*g**2*(g - 1)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -652*81\/(-186) - 4. Let n = c - 280. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g. Let r be j(2). Let t = r + -5. What is the second smallest value in 1, t, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29839 smaller than -30059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 - 2. Let b(s) = s**3 - 6*s**2 - 8*s + 8. Let g be b(7). Put a, -0.2, g in descending order.\nAnswer: g, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 2. Suppose -b - 3 = -0. Let r be v(b). Suppose 2*w = 5*y - 9, -7*y - 5 = -2*y + 5*w. Is r not equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*((1*(sqrt(500) - sqrt(500)*-1))**2 + sqrt(500) - sqrt(500)) + (sqrt(15)\/sqrt(3) + -2 + -2)*1.\nAnswer: sqrt(5) + 4001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**(-1))))**48\/(c**(-10))**(1\/38))**(-40) assuming c is positive.\nAnswer: c**(-73160\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.236784 nanograms in micrograms?\nAnswer: 0.004236784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*o = 2*g + 16, -16 = g - 4*o. Suppose -z = 4*t - 17, -5*z - t = -2*t - 22. Let p be 2\/z*(-2 - -7). Is g smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -357*(-11 - 134\/(-14)). What is the greatest common divisor of h and 3162?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*t + 16, 7*t - 5*t = 2*a - 14. Suppose -a = 2*v, n + v - 2*v = 37. Are n and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/12)*y\/(y\/(((y*(y*y\/y**0*y)\/y)\/y)\/y))*y*y**(-1\/6)*y\/(y**6*y)*y assuming y is positive.\nAnswer: y**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 - -159\/2. Let q = -61644.3 - -61644. What is the nearest to -1\/4 in q, c, -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2216 and -0.0618647678?\nAnswer: 2216.0618647678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.3, 68\/9, 8 in descending order.\nAnswer: 8, 68\/9, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f - 4. Let j be b(-2). Suppose 7*x = 11*x - j. Calculate the remainder when (-3)\/(x\/(-20)) - -1 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**4 + 37*v**3 - 7*v - 81. Let i(c) = 4*c**4 - 19*c**3 + 4*c + 41. Let z(y) = 7*i(y) + 4*m(y). Differentiate z(o) with respect to o.\nAnswer: -16*o**3 + 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 1, s: 1, v: 1, z: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -5 + sqrt(51)\/sqrt(3) + -2)**2.\nAnswer: -50*sqrt(17) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 7*h + 1. Suppose -4*s = 3*y + 6, -4*y + 1 = 3*s + 2. Let c be f(y). Let w = 17 - c. Solve -n = 3*b + w, 0 = 3*n - b + 5*b + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8738892.4 rounded to the nearest one thousand?\nAnswer: -8739000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 551611*l - 11. Determine a(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 71768542*p**2.\nAnswer: -p**2*(p + 71768542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) + sqrt(7) + sqrt(14)\/sqrt(2) + 0)**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12310649 and 6628811?\nAnswer: 86174543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdojudjjdu. Give prob of sequence oj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 w when four letters picked without replacement from fwfffffwfffffffffff?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*n = -r + 17, -9 = 3*n. Suppose -3*b + b = -2, x = -2*b + 10. Calculate the lowest common multiple of x and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2481329 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 16*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 1722*x**3 + 128878*x**2 + 85830906*x - 215355690 = 0. Calculate x.\nAnswer: -321, 5\/2, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293828\/73 or -4025?\nAnswer: -293828\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5266164 (base 7) to base 9.\nAnswer: 1172663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 10*c - 14. Let s(f) be the third derivative of 0*f - 1\/24*f**4 + 1\/6*f**3 - 3*f**2 + 0 + 1\/60*f**5. Let j(x) = -3*k(x) + 6*s(x). Factor j(m).\nAnswer: 3*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 25*j**2 - 53*j - 25. Let h be i(27). What is the first derivative of -1136*t**2 - t**3 + 1136*t**h + 11 wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 28*q**3 - 6587069*q**2 + 6587103*q**2 + 1008*q - 2 wrt q.\nAnswer: -168*q + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-2 + 2 + 2*k) + (2 + 3 + 0)*(k + 3*k - 3*k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54849*r**4 - 14*r**3 + 3*r**2 + 10*r + 273136 wrt r?\nAnswer: -658188*r**2 - 84*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) -1 (c) 0.1 (d) 0.8 (e) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*m + 3)*(2*m - 1 + 1) + (-1 + 1 - 3*m)*(6*m - 3*m - m + (1 + 2 - 1)*(3*m - m + 0*m)) in the form v + y*m**2 + o*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/147049840 and -15\/470559488?\nAnswer: 2352797440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 7. Let s = 8 + g. Suppose 0*m = -s*m + 210. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*m = -8, -131*j - 636 = -127*j - 326*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -497609*i**4*w**2 - 6*w**2 - w - 44643 wrt i?\nAnswer: -1990436*i**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 2, 5, -24 in ascending order.\nAnswer: -24, -6, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -18.9. Let v = s - -2. Which is the second smallest value? (a) 2 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20298*s = -14668*s + 6868*s - 1798272 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.448976 times -2?\nAnswer: -12.897952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 196.9789kg?\nAnswer: 196978.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 2d6?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11067 + 5541 = -11*c - 5306 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18849695.\nAnswer: 5, 43, 73, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 12) to base 8\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**40*b)**(-1\/29)*(b\/(b**48*b))**(-37))**(-47) assuming b is positive.\nAnswer: b**(-2418761\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11829 + -17?\nAnswer: 11812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 3*t - 3*t + (-t**2 + 2*t**2 + t**2)*(0 + t + 0) - 2*t**3 + 3*t**3 - 2*t**3)*((-2 + 2 - 2*t)*(-2*t + 1 - 1) + t**2 + 2 - 2).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2806986579 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2 - 1. Let d(h) = -h**3 + 11*h**2 - 10*h + 4. Let a be d(10). Suppose -1 = -a*t + 3. Let c be 1*(t\/1)\/1. Calculate v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30022240?\nAnswer: 2, 5, 187639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*q = 111*q + 21. Calculate the remainder when 51 is divided by (3 - (q - 2)) + 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by 1380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/21 (b) -3\/10 (c) -4 (d) 38 (e) -2 (f) 5 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -595 - -600.14. Let o = 0.84 + -0.7. Let h = o - d. What is the second biggest value in -4, h, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199.0000103 + 199. What is w rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/135 and 64\/63?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2371\/3 - 1\/3. Suppose g = 3*v - v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-192)\/224*14\/(-3). Let t be ((-6)\/(-12))\/((-2)\/(-140)). Suppose -c*f + t = 3. Calculate the remainder when 9 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2 - (-2 - -3). Let h = 0.17 - 0.37. Sort q, -2\/5, h.\nAnswer: q, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*k**2*o**3 - 65579*k**2 + 2101*k*o**4 wrt o?\nAnswer: -90*k**2*o**2 + 8404*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let c(i) = 0*i - 1 - 3*i + 6*i - 2*i. Let x be c(-3). Sort w, -1, x in decreasing order.\nAnswer: -1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76988 and 22.\nAnswer: 846868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - -104.9. Let v = z - -7.1. Let c(r) = -2*r**2 - 4*r - 2. Let q be c(-2). Sort 1, q, v.\nAnswer: q, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, -470.925, -2\/7?\nAnswer: -470.925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408601562?\nAnswer: 2, 17, 223, 53891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**2 - w. Calculate the least common multiple of 1 and x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -5, 4\/17, -4 in descending order.\nAnswer: 4\/17, -3\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 26. Let l be k\/(-4)*144\/(-27). Let m be l\/21*(-3)\/2. Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-90)\/36*12\/50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18940240 to the power of 1\/2, to the nearest integer?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v - 8. Let c be k(-5). Suppose a = -5*m + 10, -4*m = -a - 6*m + c. Solve 1 = -a*j - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2 + 13722148*u + 47074336433476 = 0?\nAnswer: -6861074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 124*u - 2681. Let o be l(96). Solve 25 = 4*a - o for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2683461451 to the power of 1\/3, to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145606, 582448, 1310518, 2329816?\nAnswer: 3640342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4*y**2 + 4. Let s be x(4). Let k be 4\/22 - 1504\/44. Let z = k + 34. Solve z = 4*i - 0 - s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 2, q: 10}. What is prob of picking 2 q and 2 m?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2\/2 + 4*z + 1. Suppose 0*j = -5*j. Is m(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = p - 2*n + 28, -3248 = 15*p + 3*n - 3311 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3 - j**3 - 3 - 2. Suppose 2*u = -u + 12. Suppose -u*h = -5*h. Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6 - -1) + 4)\/(-1). Let c be (4\/2)\/2 - 3. Put -3, c, u in decreasing order.\nAnswer: u, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5 - 10. Let q be (33\/44)\/(r\/(-8)). List the prime factors of q\/(-16) + 711\/24.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12777937.\nAnswer: 19, 41, 47, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609 (base 15) to base 11.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:51 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366.00000322 - -366. What is s rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) 13 (c) -1 (d) 20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10) + (5352\/(-115) - 4788\/18354)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(2\/(-1*4)))\/((-16648)\/166480)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/6 + 161*m**2\/6 + 6023*m\/3 - 75328\/3 = 0.\nAnswer: -64, 11, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 9 = 0, 3*k - 2*o - 15 = 0. Suppose -j + k = 6. Let u be 1*(-3397 - (0 - j)). What is u rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9041.761ug in nanograms?\nAnswer: 9041761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 463*t**2 - 3*t + 8284. Let l(a) = a**2. Give s(l(u)).\nAnswer: 926*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(68))**2 + ((1 + sqrt(17))*-2 - sqrt(17)) + 5.\nAnswer: -3*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 977 and 386106492?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 0 = 23*z - 22*z + 20. Let o be (-420)\/(-180)*z\/(-14). Is i equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**4 - 226*r**3 - 1534?\nAnswer: -4*r**3 - 678*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + sqrt(1100) + 1*sqrt(1100) + 5 + sqrt(1100) + -1 + sqrt(1100) + 1 + -3)*3)**2.\nAnswer: 1800*sqrt(11) + 247536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -827 divided by 13\nAnswer: -827\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + 13*m**2 - m - 35. Let r(k) = -4*k**3 - 7*k**2 + 19. Let p(q) = -5*r(q) - 3*x(q). Calculate p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 11. Suppose 0 = a*v - 2271 + 45. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4697*i - 21518. Let r(h) = -938*h - 4304. Let m(c) = -4*q(c) + 21*r(c). What is the first derivative of m(v) wrt v?\nAnswer: -910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:52 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r**(1\/3))\/r)))\/r)\/r**(-2) assuming r is positive.\nAnswer: r**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 take away 10048379?\nAnswer: -10048353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 73 (c) -2\/5 (d) -37 (e) 2\/5 (f) 4 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3928.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1553.874123 to the nearest integer.\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfl when three letters picked without replacement from {f: 2, u: 1, q: 1, w: 1, x: 2, l: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(605)*2 + -5 + 1 + sqrt(605) + 1 + 1) + 2)**2.\nAnswer: -1584*sqrt(5) + 49069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (80\/46 + (21 + -21)\/(-28))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13236024.\nAnswer: 2, 3, 61, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7744 rounded to 1 dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53563 - -104590. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -54. Let d = 22 - 17. Sort v, 0, d, -3 in decreasing order.\nAnswer: d, v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 331478853 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -11) + 17 - 35 - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10803 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1832 = -7*s - 117. Suppose s - 55 = d. Calculate the greatest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 9099 + 860 = 72*v for v.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/105 - 141\/(-45). Solve 2*a + 7 = 3*j + a, -l*a + 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - -60. Suppose -526 = -5*b - 451. Suppose -18 - b = -3*m. What is the greatest common divisor of x and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 192*w**4 - 9583*w**3 - 34404*w**2 + 44180*w.\nAnswer: -w*(w - 1)*(w + 5)*(w + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7722376 and -5.\nAnswer: 38611880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2210.1 + 2210.6. Let f(g) = -g**3 + 7*g**2 - 6*g - 1. Let w be f(6). What is the biggest value in d, w, 0.049?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + y**3)*(-2*y - 2*y + y) - 48202 + 11110*y**4 + 48202 in the form c*y**3 + f + z*y + q*y**2 + t*y**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -734985*b**2*j**2*m**2 - 3*b**2*j**2 + 19*b**2*j*m**2 + 31178*b**2 - 16*m wrt m?\nAnswer: -1469970*b**2*j**2 + 38*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 25 - 4*v + 2*v)*(v + 0 + 0) + (-5 - 7 + 3)*(-5 - 30*v + 4*v**2 + 30*v).\nAnswer: -38*v**2 - 2*v + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 561*n + 717*n - 35784 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 3*j**2 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*h + 3. Solve 4*n - 4*w + 4 = 0, w - 5*w + h = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*1 - (sqrt(475) + 0 - sqrt(475))**2 - (-1 + sqrt(1216)*1).\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*a**2 + 462*a**2 + 2*a - 2*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = 10. Let w(y) = -4*y**3 + 6*y**2 + 6. Let t(s) = -3*s**3 + 5*s**2 + 5. What is j*w(c) + 6*t(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 770683347 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 124 = -2*p, -2*v = 3*v + 5*p - 605. Let b(x) = 17*x - 461. Calculate the remainder when v is divided by b(28).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k + 226. Give m(-14).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 337011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*p + 171*p = 4. What is the third smallest value in -30\/11, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 4) to base 2.\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*28*4\/(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 18 = 61*j - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319305 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78308719 and 6837?\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a03 - -27?\nAnswer: -5987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let z be ((-16)\/(-56))\/((-5)\/(-4235)). Let w(v) = 11*v**2 + 121*v. What is z*c(b) + 2*w(b)?\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 1.4. Let t = -2 - -5. What is the closest to a in -2, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 + 5*r + 14. Let g be s(4). Find the second derivative of 66*c**g - c**4 + 2*c**4 + 318*c - 338*c + 3 wrt c.\nAnswer: 12*c**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4 - 2*p**2 + 13 - 51 + 3*p**2 - 11*p. Let f be m(18). Suppose f - 7 = k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brzbb. What is prob of picking 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.6 - -93.6. Which is the nearest to f? (a) -2 (b) -4 (c) 1\/6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 4. Let h be i(-2). Find n, given that 18*n - n**h + 8 - 2*n**2 - 23 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((8 - 14) + -2 + 3)\/(3\/(-3138))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = 2*b - b, -3*s = 6. Find the first derivative of -14 + 7 + 8 + 12*o**b wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42135 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1124*b - 631. What is o(-1)?\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120563563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161041\/1044 + -617\/4. Let b = f + -535\/3393. What is the second smallest value in b, -1\/6, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-13)\/78*(90\/4)\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34572455?\nAnswer: 5, 971, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 0. Suppose -2*n + 1 = 4*z + r, 4*n - 12 = 0. Let u(k) = 6*k - 1. Let l(w) = 5*w - 1. Calculate z*u(h) + 4*l(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 257906916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from {c: 1, m: 1, p: 7, a: 10}.\nAnswer: 315\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 902.066892 to 2 dps.\nAnswer: 902.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(1664)*2)\/(sqrt(2) - (sqrt(2) + sqrt(200)*-2) - sqrt(2))*2 + (sqrt(117) - (-6*sqrt(117)*2 + sqrt(117)))\/(sqrt(288)\/sqrt(8)).\nAnswer: 84*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334231 - -1420?\nAnswer: -332311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x - x**3 + 20*x + 8*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993181778 a multiple of 4137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {p: 1, q: 3, f: 13}?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 28 = -88. Let a be (-14)\/h + 2\/(-6). What is the smallest value in a, 0.4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1310.12308 * 0.5.\nAnswer: 655.06154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 53392 = -2*y, 66734 = -35*u + 40*u + 4*y. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajiu. What is prob of sequence jj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.304 - -196.696. Let i = l - 204.7. Round i to 1 dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 26*o + 29. Let q be v(27). Solve -7 = 3*l - w - 17, q*l - 14 = -3*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 k when four letters picked without replacement from tppppptpkkp.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230929 is divided by 19244.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/60)\/(1\/5). Sort -4, -20, f, -5.\nAnswer: -20, -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474 - -479. Suppose -3*d = 0, -6 - 2 = -4*l - 5*d. Solve -o + r - l = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 28*s - 2. Let p(u) = 26*u - 648. Calculate the remainder when n(5) is divided by p(26).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + 6 + 3 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -187*x**5\/5 - 1409*x**2 - 3570. What is the second derivative of h(l) wrt l?\nAnswer: -2244*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473298937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17207453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35357618*v**5 - 4*v - 2992408 wrt v?\nAnswer: -707152360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1056355 (base 12) to base 13\nAnswer: 847343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*i - 60, 1226*h - 1220*h - 40 = -4*i for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -335798900 rounded to the nearest one million?\nAnswer: -336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(912\/360))\/(1\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 51112069.5 to the nearest one thousand.\nAnswer: 51112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -3.6.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27289 less than or equal to 27295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.47 (b) 0.05 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-15) + -1*(-21)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.599 + -3.59902107. What is j rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 7*v - 17 = 0. Let f(z) = 96*z**2 + 2*z + 1. Let r be f(-1). Calculate the remainder when r\/3 + (-1)\/(-3) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -13755341?\nAnswer: 7\/13755341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10156952 divided by -13208.\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in years?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984 + 16*s - 1000 + 1985.\nAnswer: 16*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = 3*y - 4, -12 = -3*v - y. Let d(r) = 245*r + 6643. Let x be d(-27). Which is the third smallest value? (a) 0 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*i - 206*i - 203*i - 62*i)*(-1 + 2*i + 1).\nAnswer: -690*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14385 and 125181.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184527 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 8*h**3 - 25 - 4*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = -51. Suppose 0 = q*p - 23 + 3. Calculate the greatest common factor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbs when three letters picked without replacement from hrnsooobbss.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 t when three letters picked without replacement from {u: 7, h: 3, y: 4, t: 1, m: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**4\/3 + 72268610*j**3\/3 - 116061139303240*j**2 + 559171427293444492640*j\/3 + 1118344247321138773120\/3 = 0.\nAnswer: -2, 4817908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.14 - -6.14. Let w = 3.3 + -0.3. Let u = a + w. What is the smallest value in u, -1\/3, -2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -21. Does q = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/672 and 57\/284.\nAnswer: 47712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:23 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(240) + sqrt(240) - sqrt(240))\/sqrt(4))\/sqrt(12))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-8)\/12*4. Suppose m = -4*b, -o - 4*o + 4*b = -323. What is the greatest common divisor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t + 3. Let s = -3 - 57. Let x be s\/14 - 2\/(-7). Is b(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*x + 22*x = 64*x + 33*x + 637. Let k be 6*2\/2 + -2. Sort k, -3, x in increasing order.\nAnswer: -3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 12. Let o(d) = -5*d - 13. Let x(l) = 6*h(l) - 5*o(l). Give x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (0 + 4)) + (0 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5498936 is divided by 4313?\nAnswer: 4174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205\/4 - 51. Let m = 1.8 - 0.9. Let s = -1 + m. Which is the closest to -1? (a) 2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 20*g**2 - 8*g + 8. Let j(s) = -70*s**2 + 7*s - 16. Let w(v) = 39*v**2 - 4*v + 9. Let l(r) = -5*j(r) - 9*w(r). What is 10*l(u) + p(u)?\nAnswer: 10*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - u + 0*u)*(0 + 0 + 2*u) + (2 + 3 - 3)*(-22*u**2 - 7*u**2 + 0*u**2) as l + p*u**2 + t*u and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5466*t - 27301. Determine p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:26 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baalfb. What is prob of sequence af?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexyyxxexyexxexyy. Give prob of picking 1 y and 2 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 40*s**2 + 33*s**2 - 69*s**2. Let i(v) = v**2. Give g(i(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.821 or -0.0091?\nAnswer: 1.821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*d - 0*d + 12, -2*d - 3*v + 16 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 169*c - 166*c = -58421, 0 = 2*g - 3*c - 29221. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(84\/59032)*(-3)\/11. Let d = -1343 - v. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*59.391.\nAnswer: 6.53301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 34769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/3185 - -172\/391755. Let k = 4117\/1435 - y. What is the common denominator of -62\/27 and k?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96206 times 0.435?\nAnswer: -41849.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**2*u**3*y + r**2*u**3 + 2*r**2 + 2*r*u**3*y + 38*r*u**3 - 5*u**3*y wrt y?\nAnswer: r**2*u**3 + 2*r*u**3 - 5*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Let i = -2 + w. Let k = 7 - i. Solve -3*f - f + k = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*x + 14*x + 66. Suppose -7*s + 819 = x*s. Is s smaller than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y + 1485 = 193*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -69181b?\nAnswer: 691810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 621\/4 - 15\/(-20). Suppose 0 = -p + 10 + j. What is p rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + 39*f**3 + 0*f**2 - 43*f**3. Let g(t) = -9*t**3 - 9*t**2. What is 14*b(d) - 6*g(d)?\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + -1. Let d be (-6)\/p - (-33)\/7. Let m = -93 + 95. Solve m*u = -d*o + 11, -4*u - o - 5 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219651468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0648 + -0.064800781. What is q rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 10:46 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44, 1 in decreasing order.\nAnswer: 1, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*2*2\/(-3). Does 13 divide ((-39)\/d)\/((-1)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**8\/2240 + g**5\/30 + g**2. Let y(n) be the third derivative of o(n). Let v(d) = 74 - 220 + 146 + 2*d. Determine y(v(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let s(m) = 556142592*m. What is k(s(u))?\nAnswer: -556142592*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b6 (base 13) to base 16.\nAnswer: -f1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - 3*j + (-1 + 1 + 1)*(0*j + j - 2*j) - 2*j + 4*j - j + 0*j - 3*j + j - 19 - 4*j + 11*j - 5*j)*(j + j + j).\nAnswer: -3*j**2 - 57*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2135633, 2135672, 2135773, 2135966, 2136281, 2136748, 2137397, 2138258?\n\"Answer: 5*i**3 + i**2 + i + 2135626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2684?\nAnswer: -2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8271.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -p - 928, -4*w + 73*p - 70*p = -3710. Which is smaller: 929 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 28*l**2 + 28*l + 86. Let u(p) = p**3 - 9*p**2 - 11*p - 19. Let m be u(10). Does 23 divide q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(sqrt(324)\/(sqrt(9)*-2))\/(sqrt(24)\/(sqrt(128) - sqrt(8)) - sqrt(12)*-6) + -3.\nAnswer: -3 + 24*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccscchcshh. What is prob of sequence chs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**5\/m*m*m)\/m*m\/m**5*(m**(1\/2))**39)\/((m\/m**1)**(-21))**(3\/17) assuming m is positive.\nAnswer: m**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v - 7516 = -8099 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010000 + -10000?\nAnswer: -1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:46 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5105 + -5092. Which is the fourth biggest value? (a) l (b) 3 (c) 0.02 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 5*y - 8. Let n be z(-4). Suppose -3*r = 4*f - n, -2*r = -6*r. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -22\/5, -1\/6, 1, 9\/12674, 5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:51 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = k + 1, -3*k + 5*o + 19 = 0. Let l(r) = -r**2 - 2*r + 2 + 5*r**2 - k*r. Let h be l(3). Solve -w - h = -5*x, x + 4*x - 31 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-10)*31\/(1643\/530)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-3)*h*h**(-2))\/(((h\/(h\/(h\/h**1)*h))\/h)\/h)**(-1\/52))**(-38\/5))**15 assuming h is positive.\nAnswer: h**(-8721\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12554775 is divided by 37702.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4)\/k)\/(k\/(k**5*k)))**31)**(-35\/2) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(70)*1 + -6*-2*sqrt(70))\/((sqrt(110) - 1*(sqrt(110) - 1*sqrt(110)))\/(2*sqrt(11)*-5 + sqrt(11))).\nAnswer: -63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-270))\/(4\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -4 (c) -1 (d) -3\/8 (e) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313 - 176. Suppose 0*m + 4*m + 706 = 5*n, 5*m = n - c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q - 11*q + 35 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/6 - 4*r. Suppose -4*x + 12 = 0, -2*h - 82 = -7*h - 4*x. Let l(d) = -h*d - 8*d + 16*d. Determine u(l(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 218*j + 1. Does 40 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7559*-1919.2\nAnswer: -14507232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 16*q + 6. Let d be p(-5). Suppose -2*m - 30 = 3*t, 4*t - 4 = -2*m + 3*m. Let f = m + d. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801 = 139*i - 7*i - 12795 for i.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - q + 4. Let m(b) = -4*b**2 + 3*b - 11. Let t(u) = 7*u**2 - 5*u + 18. Let h(a) = -5*m(a) - 3*t(a). Calculate -4*h(v) + y(v).\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 154 + 159 + 125 + 78 in the form g*d + n and give n.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1056 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32723 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 3*m**2 - 4*m - 1. Suppose 4*h = -2*k - 12, -6*h - 4*k - 18 = -h. Let c be a(h). Suppose 0 = -6*q + c*q + 225. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 + 8\/(-28) + 3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349432426 divided by 3565637.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + -22?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43344\/2322)\/(0 - 2\/(-3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 0*s**3 - 5*s**3 + 0*s**3 + 19*s.\nAnswer: -5*s**3 + 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/26*(-1 - (-1)\/(3\/(-3))). Which is the nearest to -2\/5? (a) -4.8 (b) f (c) -0.1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -34\/21*f**7 + 0*f**4 + 0*f**6 + 0 + 17\/3*f**3 - 98*f + 0*f**5 + f**2. What is the second derivative of h(d) wrt d?\nAnswer: -1360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.73 and 62.\nAnswer: 55.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-5\/7)*h))\/h*h**(-2\/15))**(-3\/38))**(5\/7) assuming h is positive.\nAnswer: h**(149\/1862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.09 + 0.6. Let x = -0.01 + o. What is the biggest value in -2\/7, x, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/23)*w*(w\/(w\/w**7))\/w assuming w is positive.\nAnswer: w**(163\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 - 292*z**2 + 292*z**2 + 5*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22615 is divided by 150.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 16*j\/9 + 10\/3.\nAnswer: 2*(j + 3)*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 44*n. What is the remainder when g(1) is divided by (-194)\/(-16) + (15\/(-80))\/(15\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82245961 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 4, i: 7}. What is prob of picking 1 h and 2 i?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 18*m + 1391. Let y be d(-77). Solve 2*c + c = 5*g + 7, y*g + 9 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(304) - sqrt(304)*4) + 1*sqrt(304)*3)**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - 3 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*-3)\/((-25)\/565). Let z = 1561\/20 - k. Let h = -9 - -53\/6. Find the common denominator of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8084861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.1, -5, 9586, 0.029?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(4\/(-32)). Let m be (3*2\/r)\/(-2). Which is the nearest to 0.1? (a) -1 (b) 4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/52 - 4342*(-136)\/57460.\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1509.\nAnswer: 5\/1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -36. List the prime factors of -10*((-9)\/j - 11\/2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztj when three letters picked without replacement from thhtthtzthjtjj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62315107 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*z = 380*z - 50. Suppose -6*t + 8*t - 978 = -2*w, 0 = z*t + 5. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + r + 33 = -31, r = -1. Let c = h - 60. Suppose c*x - 1009 - 110 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 172 + 116 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 + 1 + 75*r - 89*r + 76*r**3 + 10*r**2.\nAnswer: 76*r**3 - r**2 - 14*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 13*x + 14. Let a(d) = -7*d - 7. Let s(j) = -5*a(j) - 3*i(j). Let p be s(-9). Which is greater: 28 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z**2. Suppose -6*j + 45 = 3*j. Let v(q) = j*q - 13*q + 14*q. Give v(h(s)).\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/10 + -1 - 1. Let b = 37 + -32. Suppose 0 = -h + 9 - b. Sort t, h, -1\/8.\nAnswer: t, -1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -108, -288, -632, -1194, -2028, -3188?\nAnswer: -4728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(13)*3 + sqrt(13) + -2.\nAnswer: -2 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128911 and 18751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 5, i: 4, x: 1}. What is prob of picking 1 c, 1 t, and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362 by 2.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 2*s**3\/3 - 4*s. Let d be p(4). Suppose -d = -0*o + 4*o, 2*x = -o + 18. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-567)*1*2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/10)\/((-2)\/5). Let t be 52\/48 - (-1)\/(-6). Let g = t - y. Which is the second biggest value? (a) 3\/4 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31566 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 92. Suppose 25 = 5*o, 3*r - z = r - 5*o. Calculate the greatest common divisor of 36 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2102 - 2102 - 329*f**5 + 115*f**5 - 145*f**2 wrt f?\nAnswer: -12840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 602*a - 9. Let l(r) = 1. Let o(s) = -j(s) + 2*l(s). Let p(w) = 201*w - 4. Let k(h) = 3*o(h) + 8*p(h). Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*z + 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let b be c(4). Let v be (-10)\/(-2) - (6 - b). Let m(l) = 0*l**v + 5*l + 4 - 7 - l**2. Give m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 - 2*r**2 + 1. Let h be d(2). Suppose u + l = h, -2*l - 97 = -2*u - 5*l. Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 6*n - 351 + 400, g = -n - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*q - 56 + 56 + (-1 + 4 + 1)*(-3 + 3 - q).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 162992, 163125, 163258?\n\"Answer: 133*s + 162859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41760)\/121800)\/(-1*8\/30)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5*sqrt(2178))\/sqrt(6) - (sqrt(12)*1 + sqrt(3) + sqrt(192)*1)**2) + 5.\nAnswer: -165*sqrt(3) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7509.82619 to the nearest 100.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(-2\/5)*d)\/d*d))\/d*d)\/((d\/(((d\/d**(1\/5))\/d*d)\/d))\/d)*(d**1*d*d)**(2\/31) assuming d is positive.\nAnswer: d**(-94\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118104797 by 13649.\nAnswer: 8653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003.09691 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:18 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5408, 10790, 16166, 21536, 26900?\n\"Answer: -3*p**2 + 5391*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 51 = 3*d - p, 5*d + 2*p = 85. Let y = -11 + d. Calculate the lowest common multiple of -2 + (2 - -2) + y and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 1802320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12787645*g**2 + 15181015 wrt g?\nAnswer: -25575290*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170765)\/20910*3*-2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -2)\/(2088\/58 - 17)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 5852*j**3 - 8561476*j**2 = 0.\nAnswer: 0, 2926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -2281.\nAnswer: 59\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151022237 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16869132\/331128 - (-1)\/(-18)*-1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 579523 and 2793.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2078*d - 8312. Let n be s(4). Let w(f) = -f - 8. Let m(a) = a - 1. Let o(i) = 2*m(i) + w(i). What is o(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:29 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 36 = -3*u, 7 = -10639*z + 10638*z - 2*u - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 3, q: 5, r: 3}. Give prob of sequence ror.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*x + 20 = k, k + x - 4 = 0. What is the third derivative of -9*s**2 + 2*s + 45*s**2 + 213*s**k - 23*s**2 wrt s?\nAnswer: 5112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.919914 to two decimal places.\nAnswer: -92.92","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j = 33*j - 18*j - 8*j - 696 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -190284.52 and -127.936.\nAnswer: -190412.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, 2.\nAnswer: 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069153 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus -7757?\nAnswer: -7756.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-180))\/(3\/(-8) - -1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -133 - 201. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/16580 and -9\/26528.\nAnswer: 132640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-18)\/q*q*q)**(-46)\/(q**(-11)\/(q*q*q*q**23*q)) assuming q is positive.\nAnswer: q**774","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50\/161 + 6\/23. Which is the second biggest value? (a) -3\/4 (b) f (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584963 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23400405 divided by 35?\nAnswer: 668583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6188*s + 49434. Calculate r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -73. Let a = -3 - -6. Let z = a + 2. What is the highest common factor of x and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*1.4917.\nAnswer: -52.2095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238267.3 tonnes in nanograms?\nAnswer: 238267300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o*o)\/(o*o**(1\/22)) assuming o is positive.\nAnswer: o**(43\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 4293, 15181, 36419, 71457, 123745?\nAnswer: 196733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 5185*q**2 - 5190*q.\nAnswer: 5*q*(q - 1038)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k - 4*k - 33*k - 2*k)*(-14 + 16 + 5).\nAnswer: -357*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 4*t**2)*(0*t - 6*t + 5*t + (2*t - 7*t - t)*(-5 + 1 + 2)) in the form c*t + p*t**2 + r*t**3 + o and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:54 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -20*t**2 + 26*t - 21. Let p(n) = 7*n**2 - 9*n + 7. Let q(r) = -17*p(r) - 6*s(r). Let h be q(5). Let v = h - 11. Sort v, -4, 2 in decreasing order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - 6*u**3 + 71*u**3)*(-78 - 115 + 28) as b*u + r + c*u**3 + w*u**2 and give c.\nAnswer: -10395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31231 - 3?\nAnswer: 31222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oonz when four letters picked without replacement from {z: 2, n: 3, o: 10}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11533 - -11533.39173. Let l = r + -0.401. What is l rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmfmfuk. What is prob of sequence flfk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -16, -53, -118, -217, -356, -541?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 20. Sort -1, 0, -227, c in decreasing order.\nAnswer: c, 0, -1, -227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 15387411.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - ((-8 - -4)\/4 - -9). Let j(l) = 3*l + 12. Let g(v) = v + 4. Calculate d*j(u) - 17*g(u).\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10226?\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-411)\/(-84)*-4 - (-3 - (-24)\/7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000000000111110 + 111000?\nAnswer: -101101000000000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9a312 (base 14) to base 9\nAnswer: -628660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21298, -21396, -21494, -21592?\n\"Answer: -98*d - 21200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/(-3*sqrt(144) - sqrt(9)))\/(sqrt(75)*1*3).\nAnswer: -sqrt(19)\/195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2\/8*4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -951.\nAnswer: 1\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 597567 - 304759033\/510. Calculate the common denominator of o and 44\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0)*26 + -5 + 9. Is 182 - (a\/6 - -3) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1557 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000116245325 to 7 decimal places.\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2203*r**2 - 432*r**2 - 471*r**2 - 420*r**2 - 434*r**2 - 432*r**2.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48*39\/(31 + -1279)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 15. Suppose 0 = j*m + 3 - 33. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197198*k**4 - 2*k**2 + k - 9951.\nAnswer: -4732752*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 3*b + 3*b)*(-12*b**3 - 993 + 993 - 2*b**2) to the form p*b + f*b**2 + g*b**3 + d + m*b**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r. Let o be y(7). Let v be (4\/(-8))\/((-1)\/o). Suppose 176 + v = -5*j. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 + 9 - 11*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/150 - 7*q**4\/10 + 43*q**3\/15 + 12*q**2. Determine k, given that o(k) = 0.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 667 - 659 + 1326.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mca when three letters picked without replacement from {m: 1, c: 4, a: 8}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*m - 14 = 0, -4*n = n - 5*m - 10. Suppose -40 = -3*v - 5*j, -22 = 4*v + n*j - 67. Suppose 17*l - 18*l - v = 0. Is -5 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*b. Suppose 2*c - 234 + 62 = b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16*m**2 + 13*m + 95. Let p(u) = 19*u**2 + 14*u + 96. Determine 6*f(r) - 5*p(r).\nAnswer: r**2 + 8*r + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14609602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8861ug in grams?\nAnswer: 0.0000238861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 261 + -17 - (-4)\/(-4)*-6. Is 249 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -1227. Let l = 594 - s. What is the highest common divisor of l and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 4. Give d(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p*p**(2\/5))\/p)\/p)**(-21)\/((p\/(p\/(p*p*(p*p**1\/p)\/p)))\/p**(3\/7)) assuming p is positive.\nAnswer: p**(-349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/25)\/((-20)\/100).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 760*v + 126000.\nAnswer: -5*(v - 100)*(v + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l - 2036 = -1343 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192243342 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4080*z**4 - 1476*z**3 - 1991*z**2 + 22*z + 37?\nAnswer: -97920*z - 8856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217099440 by -48.\nAnswer: 4522905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 29 - 67)*(-y + 0 + 0 - 3*y + 4*y - 2*y + (-1 + 3 + 0)*(-3*y + y + 0*y)) + 12*y - 20*y + 2 - 10.\nAnswer: 16*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 293 = 3*t, t + 4*t - 497 = 2*m. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Let i = v + -0.5. Let y = 8 - 3. Which is the second smallest value? (a) 0.3 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*j + 51 = -0*j, 17*a + 2*j = -27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 201, 304, 409, 516, 625?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14117 is divided by 321?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -702021 divided by -3.\nAnswer: 234007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*o**3 - 430*k*o**2 + k - 9*o**2 - 64*o + 2 wrt o.\nAnswer: 6*k*o - 860*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, 1\/301, 3, -0.5, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:48 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-10\/3)\/j*j*j\/j**(1\/19))**0)**44 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 17498\/2928 + -6. Let i = 4\/61 + h. Which is the nearest to -0.7? (a) 0 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7 + 4 = 0. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -7849887?\nAnswer: 204097062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j - 3. Let i be z(3). Calculate the greatest common divisor of i and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32226 and 831972?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 486\/98 + (-560)\/(-13720). Solve 42*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, s: 1, n: 2, d: 5, t: 1}. Give prob of sequence tn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/7)*a*a)\/(a*a\/a**(-28)) assuming a is positive.\nAnswer: a**(-201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 762.06927 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9510847 years in decades?\nAnswer: 0.09510847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125466\/27 + 17\/153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 12*a + 34. What is w(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:33 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 + 5*l. Let r(u) = -9*u**2 + 11*u. What is 5*d(w) - 2*r(w)?\nAnswer: -2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 - 784*j - 11. What is a(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 801 and 224163.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474*q**2 - 1352*q**2 - 2 + 3026*q**2.\nAnswer: 200*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 77. Find the third derivative of 0*q**4 + 12*q**4 - 4*q**4 + h*q**2 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-526)\/(-33) + (9 - 2360\/264).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 = -4*k + 5*k. Let u = 1247 - k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2665 + -2664.81. What is the biggest value in x, -5, 4\/7, -2\/13, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-353)\/706*(-2)\/(-6)*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225687577 to the power of 1\/2, to the nearest integer?\nAnswer: 15023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/615)\/(((-7)\/21)\/((-180)\/(-54))).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 3, x: 1, i: 7}. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 - (-9 + 4 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/18 + 15*f**2\/4 + 24*f - 996. Factor h(o).\nAnswer: -(o - 48)*(o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 129.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 6*c**3 - c**3 + 0*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 3 + 2)*(13*d + 5*d + 6*d) + (-1 + 0 + 4)*(-3 + d + 3) to the form a*d + c and give a.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - 2*a**3 + 6*a**3 - a**3 + 0*a + 0*a + (1 - 1 - 2*a)*(4*a**2 - 5*a**2 + 0*a**2).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*l = 1336*l + 18 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32436130 and 21?\nAnswer: 32436109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 36*t + 24. Calculate d(4).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j**3 + 2)*(2*j - 29*j - 2*j).\nAnswer: -29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -484333 (base 9) to base 13.\nAnswer: -a2b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:29 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.5, -330, -1, -47?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 6\/7, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/11 + 24*u - 792 = 0. What is u?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2378684 divided by 125\nAnswer: -2378684\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 8 = 3*q. Is 1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87096?\nAnswer: 2, 3, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 a factor of 99985809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 575*a + 10 = -577*a, 5*a + 25 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35\/3 in -0.5, -0.3, 1\/3, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = 2*u, 10 = 5*d + u - 5*u. Let k(r) = -9*r - r**3 + 10*r - 10 + 2*r + 8*r**d. List the prime factors of k(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351458213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4308385 and 2788335.\nAnswer: 7096720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 764960 rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 + 108 = 5*b + 4*a, 2*a - 255 = -5*b. Calculate the highest common factor of b and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137838?\nAnswer: 2, 3, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5931 and 236581.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r + 60. Let d be -12*-3*4\/r. Let u = 18 + d. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*a = -2352, 2*o - 5*a - 1768 = -o. What are the prime factors of o?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and -101\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-12)\/8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3447959.\nAnswer: 3447959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -21687535?\nAnswer: -21687532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7459 in -4\/5, 0.4, -10\/7, 6\/25, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -859.71 times 2?\nAnswer: -1719.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 26*g**2 - 26*g + 8. Give a(25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 3*b**2 - b**3 - 72*b**4 - 2*b**3 + 5*b**3 + 75*b**4 - b**3 to w*b + p*b**4 + o*b**2 + m*b**3 + x and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.57 + -0.43. Let o = -22 - f. What is the nearest to 1\/6 in 0, 5\/6, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*y + 6, -3*y + 6 = -22*g + 25*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1158 - 1136. Suppose 54 - s = 16*z. Suppose -p - 3 = -2*p. Solve z*q - 1 + p = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -43, 0 in decreasing order.\nAnswer: 0, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 6*h**2 - 9*h**2 + 0 + 0.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {l: 1, p: 3, s: 2, q: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -3. Suppose -20 = -3*p - 4*x, -4*x = 4*p - 0*x - 24. Is p bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 51931.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 8*b - 17. Let o be q(5). Let n(f) = f**2 - 4. Let i be n(o). Suppose i*w = 3*w - 387. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/105861 smaller than 28\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -2, -20, -46, -80, -122?\n\"Answer: -4*q**2 + 2*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -285, -606, 8 in decreasing order.\nAnswer: 27, 8, -285, -606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4913?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/138 and -27\/3818.\nAnswer: 11454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -4, 5 in ascending order.\nAnswer: -4, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 18, h: 2}. Give prob of sequence ddd.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from fxxoxxfsxxxsx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235 and 1316.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/((-10)\/(90\/81)) - -4. Solve 6*c - 4*c - 7 = i, -d*c + 3*i + 19 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*b**4 + 174 wrt b?\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(320) - (-2 + sqrt(320)*-1) - sqrt(320) - (1 + sqrt(15)\/sqrt(3) - (sqrt(180) + (sqrt(180) - (0 + sqrt(180) - sqrt(180))))))**2.\nAnswer: -9030 - 190*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w**2 - 1. Let r(i) = 0 + 1 + 5*i**2 + 4*i**2. Let u(n) = 11*n + 16. Suppose z + 11 = 9. Let k be u(z). Calculate k*r(t) - 7*c(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)*t\/t**(-1\/18)*(t*t\/(t*t**13))**(-11\/2) assuming t is positive.\nAnswer: t**(13313\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 34*p**2 + 62*p + 1105. What is r(-16)?\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1706372, -1706370, -1706368, -1706366, -1706364, -1706362?\nAnswer: -1706360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**2 - 2*v - 4. What are the prime factors of q(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f - 10. Let k(s) = -4*s**3 - 4*s**2 - s + 2. Calculate the smallest common multiple of k(-2) and q(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -80*l - 17*l**3 - l**2 + 80*l. Let j be r(2). What is j rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - (1896\/40 + -12))\/(1*17\/(-30)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100410 - -141?\nAnswer: 100551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1182, 0, 1, -0.5, 125.44?\nAnswer: 125.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -330, -299, -256, -201, -134, -55?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -14.1 in decreasing order.\nAnswer: -0.1, -1, -14.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 80539*s**2. Let x(o) = -621*o**2. What is x(r(q))?\nAnswer: -4028135453541*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1990 - -1984. Let q(z) be the first derivative of 4*z**3\/3 + 7*z**2 - z - 1. What is the remainder when q(g) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a micrometer in nanometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73082 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496819 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 - 9 = -117*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10516 or 10719?\nAnswer: 10719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/235, -2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.064, -1\/7, -5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189909 is divided by 691.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f**(2\/31)*f*f)))\/f)\/f*f**(1\/16))**(1\/58)*(f\/(f\/((f\/((f\/(f**(2\/3)*f))\/f))\/f*f))*f**8)\/(f**(-3)\/f**3) assuming f is positive.\nAnswer: f**(1440077\/86304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w = 98*w - 885 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from kuzuzulzuusgglskz?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 86?\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/7, 59, -4\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 113*m + 113*m + 8 - 9*m**2.\nAnswer: 7*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19983*c**3*y**2 - 5*c**3*y + 5*c**2*y + 38*y + 3 wrt y?\nAnswer: 39966*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 5. Let v = j + -10.2. Let p = 1 + v. Which is the second biggest value? (a) p (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6*l - 45. Solve 4*o + l = -4*r - 17, 0 = 4*r + 3*o + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*q + 9, -v - 4*q = v + 4. Let y be (-12)\/(-10)*(v - 6). Let w = -3 - y. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.16, 2987, 0.5, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 3*c**4\/2 + 9*c**2 + 8*c - 1. Is 90 a factor of o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5339334 at most -5339326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18294*a - 672 + 672.\nAnswer: 18294*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-5)\/((-10)\/(-172)). Suppose 5*t = -m + 386. Suppose 4*w + 0*w = t. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 36*k + 31. Determine z(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -373.9 or -11\/2467?\nAnswer: -11\/2467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 13. What is the remainder when 27 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -106866 + -437?\nAnswer: -107303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 660130\nAnswer: 39607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-60))\/(1\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 3*w**4 + 3*w**2)*(-7 + 15 + 4).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11710636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246876 by 2.\nAnswer: 123438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171784 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbbbblbbl. What is prob of sequence bbll?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkvdkddvddkddvdddvdd. Give prob of sequence dkk.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437818368 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9768 + 10336 = -5005*f + 285369 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*-2*22440\/408\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100011011101?\nAnswer: -100011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.8 + 49.2. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 12. Let r(t) be the third derivative of -t**4\/4 + 2*t**3\/3 - 293*t**2. Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 10. Suppose 0 = -5*w + 4*m - 11, -5 = -3*w - o*m + 6. Let p(a) = -a + 3. Let i be p(w). Solve 1 = b, 5*b + 6 = -i*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 347662.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430024440111 - 2?\nAnswer: 430024440104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*j + 227 = -92*j - 1153. Put -279, j, 0, 1 in ascending order.\nAnswer: -279, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4992 and 828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (-4*-1*sqrt(320) - sqrt(320)) - sqrt(320))*5.\nAnswer: 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 91*x**2 + 20*x - 6. What is the remainder when u(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 0*y**2 - y**2 + 1. Suppose 4*n = -5*i - 11, -4*i + 5*n = -5*i - 19. Give k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgkg when four letters picked without replacement from dddggdkkggfdd?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 374 = 11*u, -u - 34 = -13766*l + 13771*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 712849189 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -32.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**3 - 11*t**2 + 11*t - 1. Let i(m) = 4*m**3 - 6*m**2 + 6*m - 1. Calculate 6*h(y) - 11*i(y).\nAnswer: -2*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-144477.\nAnswer: -288954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55240, -57511, -59782?\nAnswer: -62053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000934654 rounded to seven decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2101717, 8406993, 18915785, 33628093, 52543917, 75663257, 102986113?\n\"Answer: 2101758*j**2 + 2*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8 - 11*p + 6*p - 20. What is the units digit of a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - g**2. Let o(a) = -65*a**3 + 24*a**3 + 22*a**3 + 21*a**3 + 2*a**2. Calculate -3*m(t) - 2*o(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00079895 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**3 - f. Let s be z(1). Let x be 24\/(-36) + (-2 - (-20)\/s). Suppose -104 = -x*n + 12. What is the remainder when 84 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 136000.2 and -0.1022.\nAnswer: 136000.0978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -19, -21, -27?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -111, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(35)\/sqrt(5) + (sqrt(7) + sqrt(28) + -5 + sqrt(7) - sqrt(7)) + -5 + 1 + -2 + sqrt(448) + (-1*sqrt(56))\/sqrt(8))**2.\nAnswer: -286*sqrt(7) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5468*g + 2280*g + 2408*g to o + q*g and give q.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-16) + 0)*8. Let l = p - 1. Let d(o) = -4*o**2 - 2*o - 1. Let h be d(-1). Put h, 2, l in descending order.\nAnswer: 2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 45\/2*w**2 + 15\/2*w + 5*w**3.\nAnswer: 5*(w + 1)*(w + 4)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/266 and 11\/49.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(5*c - 4 + 4)*(4*c**2 + 2*c**2 - 3*c**2).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 85.00000832. Round k to seven decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000519 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, 3\/2, -1, 404?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (145 + 67 + 20*d - 18*d)*(-18 - 17 - 7) to u + c*d and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in sixty-four fifths of a millennium?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 51 + 2*i - 28 + 0*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(228\/18)*(-8)\/(-10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9 + 457.50572.\nAnswer: 450.60572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by 270.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 298*q**3 + 109*q**2 wrt q?\nAnswer: 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 31*b - 304 = 11 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*i - 6, -y + 3*i = i - 6. Which is the nearest to y? (a) 0.4 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 848778, 1697562, 2546346, 3395130?\nAnswer: 4243914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/384 and -85\/54517376.\nAnswer: 163552128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -3\/26, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkku when four letters picked without replacement from uukuukukukuuuu?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 13*m = 784. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3831654 and 18411?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 193603.05 months?\nAnswer: 161.335875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -98257212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1844 and 9.\nAnswer: 16596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85886?\nAnswer: 2, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x**5\/11 - 358866*x**4\/11 - 143578*x**3\/11 + 1076618*x**2\/11 - 287088*x\/11 - 287096\/11 = 0.\nAnswer: -2, -2\/5, 1, 35887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -31 + 30 + 53*1 is divided by 20 - (1 + (1 - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*v = 109, 4*b + 4*v + 227 = v. Let f = -32 - b. Suppose n + 4*g - 5 + 14 = 0, -g - 11 = -n. Calculate the remainder when f is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 2*f - 60, -3*y + 172 = 5*f. What is the least common multiple of 28 and f?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(12) + 2*sqrt(12)))\/sqrt(8) - ((sqrt(3) + -2)*3 + 4).\nAnswer: -8*sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/10)\/((-13)\/130). Let p be 8\/(-45) - f\/27. Let u = 49 - 59. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -15*k + 13*k + 5*u, 1 = u. Solve -5*n = 5*w - 20, -n - 3*w = 6 - k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (-35)\/49. Solve -4*j + 8 = -5*h + 3*h, -g = -j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.3365?\nAnswer: -0.16825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/15 + (-154)\/35. Let c be (-678)\/(-27) + o\/36. Solve -2*m + c = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 29, 43?\n\"Answer: 14*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17894056 - 17894056 - 29180*t)*(-2*t**4 + 5*t**4 - 5*t**4) + (-3*t**2 + t**2 + t**2)*(t**2 + 2*t**3 - t**2).\nAnswer: 58358*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:08 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*p*q**3 - 2*p*q**2 - 27*p*q + 9*p + 3*q**3 + 475*q**2 + 26*q wrt p.\nAnswer: -8*q**3 - 2*q**2 - 27*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in minutes?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 201075+1\nAnswer: 201076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*n + 5*n = 11*g - 19, -18 = g + 3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(6\/5)\/s*s\/(s*s*s*s**14))\/(s**(-3\/8)\/(((s*s**5)\/s)\/s)))**(4\/17) assuming s is positive.\nAnswer: s**(-457\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + -1030003?\nAnswer: -1023131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-18) + (-2162)\/(-12). Suppose -10*f = -6*f + z. What is the tens digit of (2*4)\/((-10)\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343 = -96*t - 137 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + x = 55, -n - 3*x + 25 = -4*x. What is the remainder when 37 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 6*j**2 + 5558*j + 16656. Determine a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 + -6 + 5 + -10 + 17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q = -39*q + 24. Suppose -11*m + 122 = -6*m + q*g, 0 = 4*m + 5*g - 108. What is the highest common factor of 352 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489840.\nAnswer: 2, 3, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 3*h**6\/40 - 7*h**5\/30 + 1343*h**4\/24 + 135*h**2 + 7*h. Find the second derivative of p(v) wrt v.\nAnswer: 54*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 0.1536174024.\nAnswer: 0.6536174024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*u, o - 5*u + u = 20. Solve -p = 5 - o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*n**2 + 3617*n**2 - 1025*n**2 - 12*n**2 to s + j*n**2 + y*n and give j.\nAnswer: 2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 divided by 69114?\nAnswer: 415\/69114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 10*u + 8. Let q be b(-10). Suppose -y = -q + 3. Solve 2*f - 3 - y = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061058.\nAnswer: 2, 3, 89, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 0 - 1) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 4. Let l(d) = 6*d + 5. Let k be l(-5). Let h = p - k. Calculate the least common multiple of h and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4 - 4*y**2 + 2*y**2 - 7*y - 3*y**2 + 4*y**2. Let z be m(-7). Let t = 8 + z. Calculate the least common multiple of t and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.48 + 55982?\nAnswer: 56007.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 463 (c) -5\/6 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1711?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4054*a + 5625*a + 6809*a - 2679*a - 2110*a**2 + 2112*a**2 as c*a + o + n*a**2 and give c.\nAnswer: 13809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53.6689 from 377.\nAnswer: 430.6689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15804718159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1337 + -1334. Suppose 0*l + 1 = -l. Let p be l*(-3)\/(-3) + 2. Which is the closest to p? (a) -8\/7 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28158 and 11324.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/71, 8, 804 in decreasing order.\nAnswer: 804, 8, 6\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v + 4. Let s = 7 + -3. Let k be ((-3)\/s)\/(5\/20). Does 16 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3194741627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - (-16)\/24. Suppose -3*s + 2*s + 5 = c. Suppose -8 = 3*g - 23. Solve -5*w + s = -4*w, 2*w = -g*r + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -14. Suppose -5*i + 18 = -f, l*i = 4*f + 1 + 3. Find the third derivative of -2*y**3 - 5*y**3 + 6*y**2 - 3*y**3 - f*y**2 wrt y.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/4)\/((-177)\/(-52)). Let y = 2\/59 + m. Let g = 696 + -699. Which is the nearest to -2\/5? (a) g (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238515 is divided by 72.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 * -7009.\nAnswer: -399.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.73795 litres?\nAnswer: 36737.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2016 and 96?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.587727 minutes to milliseconds.\nAnswer: 215263.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 324*h**2 - 15*h - 438. Let p(l) = -l**3 + 162*l**2 - 6*l - 221. Let y(q) = -5*p(q) + 2*s(q). What is the first derivative of y(j) wrt j?\nAnswer: 9*j**2 - 324*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46725454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.93 - -0.07. Let q = -3.96 + 126.46. Let u = q + -123. Which is the third biggest value? (a) u (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4912 is divided by 259.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*q - 3*c, -2*c = 3*q - 4*c - 68. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*f = -2*p + 4, 3*p - 4 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - 2*b + 2. Let a be t(-3). What is the units digit of 1\/4 + a\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5\/2 + 66*z**4 + 723*z**3\/2 - 999*z**2 = 0.\nAnswer: -37, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.4 (b) -0.3 (c) -7 (d) -2\/9 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 96*t**2 - 440*t - 8. Calculate h(-5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232*v**4 + 449 wrt v.\nAnswer: 928*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37\/(13024\/2528) + 1*-7. What is h in 0*h + 0 - d*h**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3782*m**2 - 1442*m wrt m.\nAnswer: -7564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 - 64*z**3 + 2009 - 2009)*(3 + 41*z - 35*z - 19) to the form f*z**2 + u*z**3 + r*z + v*z**4 + c and give u.\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4158 divide 1418794315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -0.26283.\nAnswer: -7.26283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1768834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence appp when four letters picked without replacement from {z: 5, x: 3, p: 1, a: 3, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.989 + -0.011. Suppose -10*m = -11*m - 6. Which is the nearest to 0? (a) m (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5749291 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 24.6. Let k = -2 - -8. Let v = k + m. Which is the nearest to 1\/4? (a) 3 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 99*k + 1 + 2 + 37*k**2 - 83*k**2 + 48*k**2 + k**3 to a*k**3 + j + i*k + l*k**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 3, b: 5}. What is prob of picking 1 p, 1 b, and 1 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.99 - -0.01. Let i = -1.5 + h. Put 2, 4, i in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -260.879.\nAnswer: 248.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/15 + 1236\/10. Suppose -1071*v - 4*b = -1072*v + 68, 0 = 2*v + 4*b + 32. Calculate the greatest common factor of v and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 12*a**2 - 15*a - 39. Let u be r(-11). Solve 6 = -u*j + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27430 (b) 11.6 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2, 4*y - 9 = 17*q - 22*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*b - 10 + 2*b + 10)*(482*b - 437*b**2 - 484*b + 81*b**2 + 1).\nAnswer: 7476*b**3 + 42*b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 15, -18*s - 2*c = -14*s - 5190. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.9677 - 7.9677. Let w = -0.2 + 0.2. Which is the biggest value? (a) w (b) -3\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**2\/7 + 9126*i\/7 + 9120\/7 = 0?\nAnswer: -1520, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - x - 11 = -30, 80 = -5*j - 4*x. Is j > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 1. Let j(o) = o**2 + 54060 - 4*o - 54060. Determine 4*f(w) + j(w).\nAnswer: w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - i - 71 = 0, 76*y + i + 23 = 78*y. Calculate the greatest common factor of 232 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567641904 - 0.5\nAnswer: 567641903.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 141.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -6.9, -2, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925 a factor of 72455469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y - 2*b - 4, -4 = -3*y - b. Suppose y = -5*i - 8*i + 12909. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -330 + 210. Let m = -118 - a. Solve -m*o = 3 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 24 - 19 + 37. Give q(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 3. Let z = -18 - d. Let i = z + 13. Are 1\/12 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -110. Sort -5, 5, -9, d.\nAnswer: -9, -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153356 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tmtpxrwp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-15))\/(-2)*30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1143 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 + 4*o**2 - 3*o**2)*(2 + 0 + 0 - 3 + 4 + 1 + (-5 + 2 + 4)*(-3 + 3 - 1) - 3 + 1 + 1 + (6 + 7 - 19)*(-3 + 3 - 4)) as u + p*o**2 + w*o and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 2*x**3 + x + (4 + 0 - 2)*(-9*x**3 + 9*x**3 - 15*x**3) + 3*x**3 - 2*x**3 - 4*x**3 + (-2*x - x**2 + 2*x)*(-2*x - 5 + 5).\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 6*m**2 - 6*m + 5. Let s(l) = 2*l - 3. Let b be s(4). Let u be n(b). Let k be 5 + (u + -1)*1. Solve 0*y = -y + k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1796641027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -21. Let t = -15.998 - n. Round t to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 464, 659, 808, 893, 896, 799, 584?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -2*p**5\/5 + 5*p**4\/6 + 14*p. Find the third derivative of g(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 7*r)*(339 - 328 + 392*r - 391*r) to o*r**2 + s*r + h and give s.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*k + 1046. Is k\/6*6\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 386 and 6.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/14)\/(6\/4). Let m = 16.5 + -13.5. What is the third smallest value in m, t, -5\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -337*d**2 + 20*d + 335*d**2 + 50 - 18 + 8*d. Let t be r(15). Solve t*c - 3 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5)*z**(-3\/4))\/(z**(3\/10)*z*z**4))\/(z**(6\/11)*z**(2\/11))**(-2\/105) assuming z is positive.\nAnswer: z**(-5023\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284 and 3.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13463.\nAnswer: 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/(-3) + 4)\/2. Suppose -5*k - 15 = 0, -t - 150 + b = -5*k. Let w = -103 - t. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/40 + 27*a**2. Determine l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 2*a**3\/3 - 3*a**2 + 4*a. Let m be b(-5). Let d = m + 45. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*c + 14. Suppose -4*j + 2*y = -16, c*y + 4 = j - 3*j. Calculate the common denominator of 43\/6 and (-2)\/j - 265\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -4*i + 570. Suppose -161 = 8*n + i. Let u be 2\/10 + n\/15 - -2. Solve 2*y = -u - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3030 + 3733. Solve t*d + 2 = 702*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*o**2 + 4*o**2 + 9*o**2 + 7 + 24*o**2 - 7.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32233 (base 4) to base 15\nAnswer: -42d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*h**3 + 87*h + 6 - 161*h + 75*h in the form w*h + j + x*h**3 + d*h**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*m = -79*m + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2a4 (base 12) to base 11\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.21? (a) 4 (b) 1\/7 (c) 3 (d) 32\/27 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327 - -329. Is (83\/q)\/(11\/22) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 45*t**3 + (2*t + 4*t - 5*t)*(-2*t - 2*t**2 + 2*t).\nAnswer: -47*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606789 rounded to the nearest one thousand?\nAnswer: 2607000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -780.499941 rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 7. Let s be m(-9). Suppose s*x = 2*i + 3*i, -5*x = 3*i. Let j = i + 0. Solve 3*y = -3 - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/5 + 744*u**2\/5 + 2928*u\/5 + 2912\/5.\nAnswer: 4*(u + 2)**2*(u + 182)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 9) to base 16.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416976 (base 12) in base 14?\nAnswer: 1ca7d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 5*y**6\/2 + 6*y**5\/5 - 15*y**4\/2 - 4*y**3 + 15*y**2\/2 + 6*y - 40. Suppose k(v) = 0. Calculate v.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 149. Calculate the remainder when r is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 925 - 923. Which is the nearest to -3? (a) -3 (b) k (c) -6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v**2 + 1. Let a(q) = 66*q**2 + 5. Let w(o) = -4*a(o) + 22*h(o). Let n(i) be the first derivative of i**3\/3 + 609. What is n(w(b))?\nAnswer: 484*b**4 + 88*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37261 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -65. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 33 = 34. Let z(g) = -g - 2. Let k(t) = 111*t + 140. Let x(b) = f*z(b) - k(b). What is the first derivative of x(s) wrt s?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 - (9 + -12)*5. What is the nearest to -1\/2 in 4, r, -0.0813, -4?\nAnswer: -0.0813","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 3, l: 1, b: 2}. What is prob of picking 2 b and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 1. Let a be t(1). Let z be 0\/((-1)\/(3\/a)). Suppose 3*d = -z*d + 66. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f + 62. Calculate c(-22).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - j**2 + j. Let f(t) = 6*t**3 + 2*t**2 - 3*t. Let g(d) = -3*f(d) - 8*k(d). Let v be g(-1). Is ((-1644)\/(-18))\/(v\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.87908ml to litres.\nAnswer: 0.02487908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 46*f + 607. What is j(-55)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224667359.\nAnswer: 7, 17, 71, 26591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/11 (b) 2\/5 (c) 906 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (26 - (-4 + -14 + 73))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l - 13. What is i(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-225)*(55\/22)\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -2*n**7\/105 - n**6\/30 + n**5\/15 + n**4\/6 + n**2 + 55*n. Factor x(z).\nAnswer: -4*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/924*7)\/((-1)\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**5\/3 - 56446*i**4\/3 + 819184*i**3\/3 - 1751576*i**2\/3 + 226016*i = 0.\nAnswer: -14126, 0, 1\/2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b**2 + 2*b + 13*b**2 - 13*b**2.\nAnswer: 29*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 26*p**2. Let r(n) = -40*n + 2. Calculate r(f(x)).\nAnswer: -1040*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 6:15 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1304\/423 + -82605\/26696. Find the common denominator of o and 26\/15.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-18))\/(2\/(-12)). What is the second derivative of 7*w**4 - 15*w**4 - 10*w + n*w wrt w?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1688.2 - -1688. Which is greater: h or -0.0432?\nAnswer: -0.0432","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2969*u + 2889*u + 482*u + 1069*u)*(-11*u + 9 + 9*u - 3) to s*u + k*u**2 + g and give k.\nAnswer: -14818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1)\/(0 - -1). Find the second derivative of 4*l**4 - 4*l - 5*l + d*l wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153359084*c**2 - 25082737*c wrt c.\nAnswer: -306718168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24919421.\nAnswer: 24919421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 minus -6.4?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**4\/24 - 3*n**3\/2 + 10*n**2 + 7. Let d(z) be the second derivative of l(z). Determine d(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2442 and -23\/40137526?\nAnswer: 120412578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/5 + 92*i\/5 + 176\/5 = 0 for i.\nAnswer: -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:52 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011076849 to 7 dps.\nAnswer: -0.0011077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l**3 + 2*l**2 + 38*l + 2. Let h(c) = -70*c**3 - 7*c**2 - 112*c - 7. Let d(r) = -7*a(r) - 2*h(r). Find the second derivative of d(q) wrt q.\nAnswer: -126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-3 - 1) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -m - 4*w + 7, 5*m = 5*w - 5. Let f(s) = s**2 - 5*s + 4. Let h be f(5). Find the second derivative of -3*t + t - 3*t + m*t + h*t**2 wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x - 115. Let o(d) = -20*d + 345. Give -6*o(p) - 17*y(p).\nAnswer: p - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 222933622 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6328 and 69028536?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2118\/2635 + -2\/527. Factor -y*t + 0 - 1\/5*t**3 + 4\/5*t**2.\nAnswer: -t*(t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 12. Is a at least 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.8 and 90.\nAnswer: 103.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = 2*r, 4*y + 6*r = 2*r - 4. Suppose 2*w - 4*w + 10 = 0. Suppose s + y = -p, w*p = p - 12. Sort -3, s, 5.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 5*m + 2. Let n be c(-5). Suppose n*b + g + 16 = -3*g, 28 = 4*b - 4*g. What is the units digit of 7 - (4 - b - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/133232 and -31\/16.\nAnswer: 133232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -0.1767327?\nAnswer: 1.1767327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**5\/5 + 7*f**3 + 175*f**2\/2 + 704. What is the second derivative of a(z) wrt z?\nAnswer: 12*z**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - -54033b?\nAnswer: 54036c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2564028 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.683934km in millimeters?\nAnswer: 683934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003740389 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2094 - 167.6094. Let i = v + 168. What is the third biggest value in i, -2\/3, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:20 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*a + 18, 3*m - 5*a = 24 + 2. Suppose 4*q - m = 6. Solve -2 = 2*j + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = -4. Let f = -16 - x. Solve -5*t + 11 + 14 = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22\/3*q**3 - 10*q**2 - 4\/3 - 6*q - 2*q**4 = 0. Calculate q.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*j - 264, -3*j + 7*l - 4*l = -414. Let o be j\/(-25) - 4\/(-10). Let f = 5 + o. Solve -12 = -f*x - 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5146, 10290, 15434, 20578?\nAnswer: 25722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173258196 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.94 times -603\nAnswer: 1772.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 - o. Let d be g(1). Suppose w - 8 = -d*w. Solve 0 = b - 0 - w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86652 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18658998 and 3402.\nAnswer: 130612986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + i = 14*a + 1078, 5*i = -a + 298. Calculate the greatest common factor of a and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 1, m: 3, h: 2, z: 4}. What is prob of picking 2 z and 1 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 17470*q - 262288. Determine o(15).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858035261.\nAnswer: 3, 83, 383, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-154) - 8\/(-28). Sort -2\/11, 19, 5, m in ascending order.\nAnswer: -2\/11, m, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1655*h + 2166*h + 1500*h)*(-2*h + 3*h + h).\nAnswer: 4022*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3210*p**2 + 1681*p**4 + 950*p**4 - 2169*p**4 wrt p?\nAnswer: 11088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 9. Suppose 172 + 4816 = 5*l - 3*z, 4*z = -l + 1016. Let b = l + -1004. Determine d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t + 63*t - 940 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/18)\/(-2 + (-93)\/(-12)). What is the biggest value in 1\/11, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371903857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:15 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/424, -475\/7, 2, 0.3 in ascending order.\nAnswer: -475\/7, -1\/424, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let j(b) = 2*b**3 + 31*b**2 + 15*b - 5. Let o be j(-15). Let l(m) = m - 11. Let i(f) = -1. Let p(h) = 22*i(h) - 2*l(h). Determine o*x(t) + p(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 916006.\nAnswer: 10076066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 4*q. Let k(j) = j**2 + 3*j. Let g(c) = -4*k(c) - 3*p(c). Let y(m) = m**2. Give y(g(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455377818*v**4 - 758393652*v?\nAnswer: -5464533816*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/9, -7, 0, -20.5 in descending order.\nAnswer: 2, 0, -4\/9, -7, -20.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9 = -3*v + 30, 5*d = 5*v. Solve -2*n = -53*p + 57*p + 26, -n - 17 = v*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6213 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:35 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25ca25 (base 15) to base 3.\nAnswer: -10102012020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*s**5 - 3*s**2 + 4*s**2 - 188*s**5 - 47*s wrt s?\nAnswer: -8940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26188 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 - 309. Suppose 8*w - 75 = -a*w. Sort w, 7, -3, -7 in descending order.\nAnswer: 7, w, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6769)\/(-126)*2 + (-8)\/18. Let g = q - 107. Solve -2*i + 0*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11504 is divided by 3672?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/15 + 55106*y = 0. What is y?\nAnswer: 0, 413295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 107227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 700 = -5*t. Let o = -483 - -499. What is the remainder when t is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3008 - -3.6992. Let d = -2 - 0. Which is the nearest to d? (a) f (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-15))**(-31)*(h**(8\/11)*h)**(-42) assuming h is positive.\nAnswer: h**(-6254\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2+12632320\nAnswer: 12632318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*c + 263*c = -1660. Let s(d) be the second derivative of 0 - 1\/3*d**3 + 0*d**2 + c*d. Let j(t) = 5*t**2. Give j(s(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1317*t**2 + 4*t**3 + 2*t**4 + 11 - 1311*t**2 - 11 in the form s*t**3 + c*t + k*t**4 + j + z*t**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112.71 and 47?\nAnswer: -5297.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(-1\/11)*z)\/z)\/z)\/(z\/(z*z**(2\/7))))\/(z**(-6\/11)\/z**(-4\/7)))**(-4) assuming z is positive.\nAnswer: z**(256\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 8*f - 51. Let d = f + -16. Let h be ((-8)\/d)\/(3546\/885 + -4). What is h rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -10. Solve 2*p + g = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -977*q + 3538. Determine a(-3).\nAnswer: 6469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 21224223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 52*b**3 - 5*b**2 + 28*b - 27. Let x be q(3). What is the greatest common divisor of x and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 10) + 2 + 13 + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140162710 and 6590.\nAnswer: 6590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 475\/95*1\/(5\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/13537660 or 0?\nAnswer: 33\/13537660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/63 and 73\/3591?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2385818, 4771638, 7157458, 9543278, 11929098, 14314918?\n\"Answer: 2385820*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 745105 and 8196148\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.053+-0.73556\nAnswer: -0.78856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 25, -6*u - 5*o - 25 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -366, -367, -368, -369, -370?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 2, p: 6, u: 3, r: 1, q: 2}. Give prob of sequence zru.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82449 is divided by 274.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*z = 1 - 13, -4*z - 30 = -5*l. Suppose 8 = l*b, -5*j - b + 132 = -j. Let m be (-20)\/(-110) - j\/198. Is m equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1227999?\nAnswer: 3683997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a tonne in kilograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-1760)*-2)\/(-2*(-117)\/(-60)).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 410278487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 - 3*u + 12. What is s(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dedeeeedede. What is prob of picking 4 d?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - 5914?\nAnswer: -58b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-10)*-1 + 3)\/(78\/20)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 16. Let h(g) = 2*g**2 - 9 - k + 2*g**2 - 15*g. Let f be h(-20). What is f rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 67726732?\nAnswer: -67726734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from togoroogdooooorgo. Give prob of picking 1 r, 1 t, and 1 o.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -303.4 + 303.1. Put 14, 1, a, -9 in decreasing order.\nAnswer: 14, 1, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002223031709 rounded to 7 decimal places?\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.013803533 to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 29*a + 680 = 0. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16751 or -16788?\nAnswer: -16751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1248921 and 54813.\nAnswer: 151119441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-5)*(2\/3)\/((-12)\/36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0213263 micrograms?\nAnswer: 21.3263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1001233033 (base 4) to base 6\nAnswer: -5434331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606511623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/61138681?\nAnswer: 1\/61138681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -47*m + 58. Let c(k) = -72*k + 87. Let t(w) = -5*c(w) + 8*y(w). Let u(f) = 7*f - 14. Let z(h) = 3*t(h) + 7*u(h). Give z(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0261361 to 4 decimal places.\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-1) + -22 + 82\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) - (-19)\/2. Let t = 15583\/9213 + -76\/3071. What is q in -2 - k*q**2 + 2*q**4 - t*q**3 - 25\/3*q = 0?\nAnswer: -1, -2\/3, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*5\/(30\/9). Let b be -5*r\/(-3) + -1. Suppose b*s + 2*v = 2, 0*v + 1 = -3*s - 2*v. Solve -x - 3*k - 7 = -0*x, -x = -k + s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*q**2 - 545*q + 545*q)*(33 + 51 - 2842*q + 2841*q) as v*q + y + o*q**3 + w*q**2 and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-nine fifths of a second?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/3 - -47\/15. Suppose -4*i - 9 = -5*i. Let k be (-6)\/i - 1\/(-3). Which is the closest to k? (a) 0.3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.3 + 8. Suppose 0 = 3*h - 2*h + 4. Let k = 2 - -2. Which is the biggest value? (a) h (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = n - 7*t + 12*t, 2*n - 13 = -5*t. Which is the fourth smallest value? (a) 2\/15 (b) n (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001537853 rounded to 5 decimal places?\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z + 1. Let u(c) = c - 1. Let o be u(1). Let a = -2 - o. What are the prime factors of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 12*m. Let z be w(-12). Suppose u = -z*u. Solve -o = 5*s - 8, s = -2*o - u*s + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8848 is divided by 483?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/17)*p**4*(p**0)**(-2\/61))\/((p*p**1)**(-2\/35)\/(p**(-2\/19)\/p*p**(-1\/6))) assuming p is positive.\nAnswer: p**(184817\/67830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301303*h**2*v - h*v - 4*h - 35*v + 213 wrt h?\nAnswer: -602606*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-210)*-7)\/(1\/264*-4).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 - 3*r + 1. Let n = 533 - 530. Calculate u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6895346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 - 3*s - 5. Let u(a) = 3*a + 47 - 7*a**2 - 20 + a - 2*a - 23. Calculate 4*l(q) + 5*u(q).\nAnswer: -4*q**3 - 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 1. Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(8) + 2 + (1 + sqrt(405) - sqrt(405))**2 + 6*(sqrt(240)\/sqrt(12) + -4).\nAnswer: -21 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o - 5187 = -a, o + 20673 = 4*a. Let t = a + -2896. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6)*146\/1. Let u = -45 + o. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -12*o**2 + 28*o - 28*o. Let g(u) = u**2. Determine g(j(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2 and -87\/962.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-30)\/36 + (-2)\/36*-8043 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 443?\nAnswer: -221.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47170032*k**3 - 12889203*k.\nAnswer: -283020192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -15, -465 in ascending order.\nAnswer: -465, -17, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 - 2\/((-848)\/(-96) + -3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 37 - 15*f + 0*f**2 - 38. Does 11 divide r(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-200)\/12*1*-3. Suppose -3*h + 7*y - 2*y + t = 0, -h + 4*y + 26 = 0. Let d = -12 - -40. What is the remainder when d is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 86 - 78 = 0. Solve -3*w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0754902*0.306\nAnswer: 0.0231000012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - o. Let p(q) = q**2 - 4*q - 11. Determine -p(j) + t(j).\nAnswer: -2*j**2 + 3*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:20 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -765, -1267, -1791, -2343, -2929, -3555?\nAnswer: -4227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 2:43 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 19274.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -6*o**4\/19 + 340*o**3 - 17174*o**2\/19 - 10752*o\/19 + 12888\/19 = 0.\nAnswer: -1, 2\/3, 3, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 31\/13, -2, 0.78 in ascending order.\nAnswer: -2, -0.2, 0.78, 1, 31\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q + 4*q**2 - 40*q - 8096 + 8096.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 4*q)*(-9*q - 7*q - 114*q**3 + 16*q).\nAnswer: 342*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1332 - 84?\nAnswer: -13b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9801.128ml?\nAnswer: 9.801128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (16\/(-4))\/(2\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 30*w - 58. Let q be (4\/8)\/(2\/(-200)). Let y be q\/15*(-42)\/5. Let h be z(y). Let m(n) = -n**3 - 4*n**2 - 4*n - 2. Give m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -3*u - 8*z - 5, 0 = -u - 4*z + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11904*o - 2808*o - 1 - 2822*o to u*o + l and give u.\nAnswer: 6274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 90 = -0*x. Let g = 25 + x. Let l be ((-2)\/g)\/(48\/(-18) - -3). Which is the closest to -13? (a) 0.3 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 334572*v**3 - 3*v**2 - 2*v + 3. Let r be t(1). Round r to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54563818 to the nearest integer?\nAnswer: 7387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - 19. Let n be (16\/v)\/((-32)\/(-528)). Let s = -40 + n. Solve s*d - 15 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 2*q)*(3*q + 0*q - q)*(-11*q - 21*q - q).\nAnswer: 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1970542 and 5986.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*p**2 - 67*p**2 + 3 + 12*p + 6*p - 70*p**2 + 3*p**3 in the form f*p**3 + n*p + l*p**2 + a and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514127.\nAnswer: 514127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (14 - 7) + -10 - (5 + -55).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 712.8931 millennia?\nAnswer: 71289.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441657831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 6) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.8262 + -40.9. Let f = -0.0737553 - x. Round f to 6 dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) 1\/9 (c) 2\/19 (d) -14.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.74 - -0.74. What is the third smallest value in -4, 3\/4, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 1, c: 1, y: 1}. What is prob of sequence ycio?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.1498 rounded to one decimal place?\nAnswer: 124.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/14*(-14)\/(-4). Suppose 15*r = w*r + 45. Solve r = 3*l - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6402 and 109\/24.\nAnswer: 25608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = 4*p - 35*j + 1201, -2*p + 5*j = 563. Let o be (-958)\/(4\/(-2)) - 0. Let z = p + o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107141467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*m - 2142, -5*p + 7*m = 2*m - 2150. Suppose -55*w = -58*w + p. Suppose -14*z = -w - 16056. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 8*d - 226. Determine q(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/1 - (6 - 10). Let z(o) = o**2 - o - 1. Let t(x) = 5*x**2 - 3. Let c(b) = t(b) - 2*z(b). What is c(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118926005.\nAnswer: 5, 11, 59, 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggiigiiggggi. Give prob of picking 1 g and 1 f.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*w + 296 + 2, 0 = -5*w - 15. Let m = -21 - -26. Suppose c = -h + m*h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 27*y**3 - 13*y**2. Let x(b) = 5*b**3 - 19*b**3 + b**2 + 4*b**2 + 2*b**2. Let h(d) = -3*s(d) - 5*x(d). What is the third derivative of h(o) wrt o?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29321, -117392, -264175, -469664, -733853, -1056736, -1438307?\nAnswer: -1878560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 863.812 years?\nAnswer: 8.63812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 + 1. Let o be 69\/(-9) + (-4)\/(-6). Let z = -10 - o. Calculate x(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 165371140.579 and 3.\nAnswer: 165371143.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 + 4*t**3 + t**3 + (-6*t + 2*t + 5*t)*(0*t**2 - t**2 + 2*t**2) + t**3 + t**3 + 0*t**3 + 3 - 3*t**3 - 3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(243) + -5 - (sqrt(243)*3*-2)**2.\nAnswer: -8753 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*s**2*t**4 + 36*s**2*t + 60*s*t**4 - 216*s*t wrt t?\nAnswer: 1884*s**2*t**2 + 720*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:37 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 62*o**2 - 464*o - 15. What is p(9)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 29. Let m be i(16). Let n = -38 + m. Let f be (19\/(-114))\/(2\/6). Which is the closest to 0? (a) f (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose -4*p = -3*p - v*n - 34, -3*p - 2*n + 86 = 0. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/4 and 29\/2170178?\nAnswer: 4340356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 1632?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -687, -2763, -6229, -11085, -17331, -24967, -33993?\n\"Answer: -695*t**2 + 9*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 17. Let d be b(-5). Suppose -157*i = -424 - 518. Calculate the highest common factor of i and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 7072*y**3 - 3153984*y**2 - 24893440*y - 49561600 = 0. Calculate y.\nAnswer: -880, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18769.1 + 18769. Which is the third smallest value? (a) o (b) 3 (c) -0.3 (d) -1373 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 214*j**2 + 321*j - 11065. What is b(-105)?\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(4\/5)*-4. Let u be (-3)\/1 + 0 + 1. Let f = u - k. Solve -4*r + 5*l = 21, 5*l - 22 = -5*r + f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267727486 to the nearest 10000.\nAnswer: -267730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-26)\/8)\/((-5)\/280). Suppose 2*u = 4*m - t, -3*u = -4*m + 164 + 15. Which is smaller: -1\/3 or m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*k - 7. Solve -k - 5 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 + 0.8. Let l = 0.3 - 0.4. Let p = -0.6 + 0.4. What is the nearest to l in n, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 7*s**2 + 4*s + 18. What is v(6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1523 = 4*f - 5*z, 0*f = -2*f - z + 751. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133584 and 55407.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttyy. What is prob of picking 3 y and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 30 = -5*f + p, 0 = 2*f + 2*p. Solve 5 = f*m - 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 25442\nAnswer: 4833.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from {y: 1, e: 2, c: 4, p: 1, v: 2, t: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w - 6. Suppose w*p + 0*p = 6. Is 4 + -4 - (p - 85) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*d = -31, -4*k - 1 = 4*d - 5. Suppose k*l = -0*l + 660. Suppose 2*o - 78 = 2*b, 0 = -2*o - 3*o - b + l. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 15) to base 9\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 488503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 1\/4, -9706, -168?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -212101121122 (base 3) in base 2?\nAnswer: -1110000011010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 + -3. Let q = 1883\/62 + -120\/31. Let n = q + -27. Which is the third smallest value? (a) p (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*c + 642, c - 4*k = -297 - 32. Let q = c + 434. Calculate the remainder when q is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/13, 0, -185, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 3)*4\/16 + 1103. Calculate the highest common factor of z and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 107.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 4*s + 32. Determine f(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*s - 2*s - 7 = 0, 0 = -3*b + 5*s + 29. Suppose 5*g = -5*i + 15, 5*i - 4*g + b = -3*g. Suppose k = -i*k + 21. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.35 - 50. Let h = s - 0.35. Which is the nearest to -1\/14? (a) 1\/3 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5 + 6*a**4 + 2*a**2 + 2*a wrt a?\nAnswer: 60*a**2 + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6256275983 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:23 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9216 and 121681920?\nAnswer: 365045760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*o**4 + 28*o**4 - 3 - 8*o**2 + 5*o**3 - 15*o**4 wrt o.\nAnswer: -24*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 205?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 408 = -0*o + 5*o, 3*j = -2*o + 159. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 1021\/6. Suppose 4 = -5*z + 2*s, -5*z + 2*s - 8 = -2*s. Let f = 0 + z. Sort f, -5, x in descending order.\nAnswer: x, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/110 and 131\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.5. Which is the nearest to 1? (a) 4 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g + i + 5 = 0, 0 = -5*i - 25. Let d = -25.877 - -23.877. What is the closest to g in -1\/8, d, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132624*z + 46742 wrt z.\nAnswer: -132624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 127. List the prime factors of r(0).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -51. Let h = -36.99933 - u. Round h to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 9*b**2 - 105*b**2 + 6*b**2 + 90*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67436 + -2325?\nAnswer: -71763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -231, -459, -687, -915?\n\"Answer: -228*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, -5\/2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13277817 to the power of 1\/2, to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 50 = -19*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 f when four letters picked without replacement from neffiehofiieei?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1697?\nAnswer: 8485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/191 and 364\/130*(-70)\/24?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 0 = f - 11, 4*f - 5*z + 31 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -22. Are w and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, -3*d + 4 = -2*d + 3*l. Suppose -d = 4*w - 6*w. Do w and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 27 - 14)*(-5 + 4 + 2)*(-3 + 3 - 3*m).\nAnswer: 183*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21765610.7 and -0.043.\nAnswer: -21765610.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 380361 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 5. Let r be c(4). Let z(d) = 2*d**2 - 7*d + 6. Let w be z(1). Is w equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.8 - 16.8. Let g be 4\/42*3395\/20. Put -0.5, q, g in ascending order.\nAnswer: q, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9686 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 65 - 37. What is the units digit of 8096\/v + (-7)\/49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39300609262492 and -0.1?\nAnswer: 39300609262491.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16816 or 16991?\nAnswer: 16816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -115, 44\/527, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5529425 and 20075?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/4*(4 + 1 - 7). Suppose -r + i = 5*l, -2*r + 2*l = -4 - 2. Find the third derivative of 6*m**4 + 25*m**r + m**2 - 4*m**4 wrt m.\nAnswer: 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1132 + -30?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))\/(m\/((m*m\/(m\/m**4))\/m)) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17131\/10552 - -2\/1319. Let y = 102647\/90 + -11243\/9. Let n = 498\/5 + y. Find the common denominator of l and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**5 - 2*d**5 + 3*d**5 - d**5 + d**5 - 3*d**5 + (2*d**3 + 0*d**3 + 0*d**3)*(5*d + d**2 - 5*d).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*h**3*k**2*r - 28*h**3*k + 1431*h**2*k**2 - 2*h**2*k*r - 8*h*r - 2*k*r wrt k.\nAnswer: 36*h**3*r + 2862*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0561, 4\/3, 0.0558, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 525*w**2\/2 - 611*w - 639. Differentiate y(t) with respect to t.\nAnswer: 525","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-949)\/(-219)*22440\/2210?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570857 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 28 - 8. Suppose 3*d - 1 = v, -3*v = 4*d - 10 - 26. Calculate the remainder when v is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3425503 + 10?\nAnswer: 3425513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148243 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1016 + 1016 - 12*z. Let c = 2 + 3. Let i(f) = -f - 4*f - 3*f. Give c*o(k) - 8*i(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 17448*y + 10500644.\nAnswer: 4*(y + 721)*(y + 3641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -57873*w - 2. Let n(s) = 6*s. Give n(v(k)).\nAnswer: -347238*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891 divided by 297.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19289*i**4*v - i**3*v + 273*i*v + 3*i + 5 wrt i.\nAnswer: -231468*i**2*v - 6*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205342 by 45.\nAnswer: 205342\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566225?\nAnswer: 5, 11, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87119 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -0.24?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2761384 - -2761395.999991. Let l = -12 + c. Round l to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4573 - 0.7772. Round x to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k + 15*b = 24*k - 8*b + 25*b - 344, -2*k = 9*b - 62 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 61 = -27. Suppose -187 + m = -8*l. Solve l - 2 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 m when three letters picked without replacement from {m: 1, f: 1, h: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/6241 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159180821.\nAnswer: 10069, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, e: 2}. What is prob of picking 1 e and 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 + 3*b + 3*b - 10*b**2 + 9*b**2 - 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 2*f + 2*f + f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 3 + -2 - 2) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 18*z - 42. Calculate d(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.7. Let l = 0.07 + 0.23. What is the third smallest value in 0, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 2*r)*(0*r - 2*r + r) - 350 + 56*r**2 + 350.\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {h: 4, t: 4, d: 2, f: 9, k: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -4*l + 1342. Suppose l = -31*u + 32*u. Which is bigger: 120 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*m + 5174 = -3250. Sort m, -5, -10, -2\/7.\nAnswer: m, -10, -5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 187\/62)*(-97)\/((-2328)\/(-144))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:17 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/42 - (-86)\/1204?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*x + 3 = -7, -28 = 3*j + 2*x. Let o = 1201 + -1164. Let a = j + o. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 4*b + 4. Determine g(10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, 0.3, 4, -2, -0.5, -2\/57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11634341 (base 7) to base 2.\nAnswer: 100000000100010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 0.08?\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 0.69585?\nAnswer: 24.30415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5329.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 7*g - 158, 9797726*b - g + 74 = 9797728*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -9. Let w(h) = -h**3 - 6*h**2 - 2*h - 1. Let n be w(-6). Let q = n + -8. Solve 0 = -q*g + 3 - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5\/5 - 726222*m**4\/5 - 290487*m**3 - 726216*m**2\/5 = 0.\nAnswer: -242072, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 560*t. Let h(v) = 33*v. Determine -84*h(s) + 5*o(s).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or 626?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:18 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.0969 - -0.2069. Let k = -20 - a. Round k to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -53*g - 410, 2*g - 4 = 4*k - 22 - 26 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -76. Suppose -2*z - v - 3*v = 2, 3*z = n*v + 42. Suppose -13*p - 8 = -z*p. Round p to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*b + 40 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21947, 21765, 21583?\nAnswer: 21401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -64, -52, -22, 32, 116, 236, 398?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1189, 1217, 1259, 1309, 1361, 1409, 1447?\n\"Answer: -j**3 + 13*j**2 - 4*j + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3\/25 - 24*f**2\/25 - 78*f\/25 - 56\/25 = 0.\nAnswer: -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117924 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 10 - 2187*u**3 + 2188*u**3 - 6*u + 3*u**2. Determine j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.54 + -6.94. Let t = -6 - z. Which is the second biggest value? (a) -0.5 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10 = -6. What is the closest to 0 in -2\/5, n, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4768.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 37434?\nAnswer: 37432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31206 and 2058?\nAnswer: 1529094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9)\/(13*(-14)\/24*(-9432)\/16506)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 4897090*o - 24485325.\nAnswer: -5*(o - 979413)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 + 66*q**3 + 1124833*q**2 + 815320257*q.\nAnswer: -12*q**2 + 396*q + 2249666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 760 divided by -2\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 129, 293, 533, 855?\n\"Answer: h**3 + 29*h**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/11 (b) -5.9 (c) -18\/485 (d) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8600 greater than 8602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 7. Suppose -k + 0 = 2*i. Which is the second smallest value? (a) 4 (b) -0.4 (c) -1\/12 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-2\/9)\/i))\/i)\/(((i*i**2\/i)\/i)\/i))**44 assuming i is positive.\nAnswer: i**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**3 + 36*g**2 + 72*g = 0. What is g?\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*o**5*t - o**5 - 2*o**4*t + 2*o**2*t - 3*o**2 - o - 47*t wrt o.\nAnswer: 420*o**2*t - 60*o**2 - 48*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 191. Let m = 2\/401 - 828\/5213. What is the third biggest value in -3, -2, m, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 5*z - 0*z. Solve z = 3*r - 7*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 283016.93\nAnswer: -1698101.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8772207247 - 1.\nAnswer: -8772207248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q. Let k be ((-12)\/(-8) - 2)*q. Suppose -4*n + h + 21 = 9, -n - 5*h + 24 = k. 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: How many litres are there in 596.1731ml?\nAnswer: 0.5961731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.735 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 70 = 74. Let n = -1 + y. Solve -3*c + n = 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3 = -3*g, 0 = -2*d + 2*g + 28 - 26 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551372*v + 67*v**3 - 350*v**3 - 551372*v.\nAnswer: -283*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0. Let j = 0.29 - -0.01. Let t = j + -0.3. What is the closest to -1\/3 in l, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56487760222614 - 0.1\nAnswer: -56487760222614.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5855*t + 37. Let z(l) = -10*l. What is o(z(c))?\nAnswer: -58550*c + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -10017 and -9964 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -6*c. Is -1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 14*f - 15. What is u(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 27\/33)\/((-48)\/(-72)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 6 + (13 - (2 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27345 by -3.\nAnswer: 9115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 5*f + 5*f)*(-4*f + 2*f + 4*f) + 0*f**3 + 0*f**3 - f**3 - 575932 - 366*f**3 + 575932.\nAnswer: -369*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -710 divided by -41.\nAnswer: 710\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m - 3. Let b be g(-2). Let t be b\/((-21)\/36) - -3. Let w(h) = h**3 + 11*h**2 + 12*h + 11. Is w(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2114*a - 3. Let u = 58 + -49. Suppose -u*l + 7*l = -2. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-17680)*365 + 2\/(-13)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40548 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (-4 - 0)\/(-8)*28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1*4 + 0. Let r(l) = -l**3 + 9*l**2 - 7*l - 3. Let w be r(8). Suppose w*f - f = a. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 3. Let k(q) = -q - 1. Let l(o) = -4*k(o) + z(o). Let b be l(1). Find the third derivative of -4*n**2 - n**2 + 2*n**4 + b*n**2 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 472066, 472063, 472068, 472081, 472102, 472131?\n\"Answer: 4*m**2 - 15*m + 472077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from ihhro.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 32*n**2 + 13*n + 4. Let u(s) = 16*s**2 + 8*s + 4. What is -5*u(l) + 3*v(l)?\nAnswer: 16*l**2 - l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14804334.\nAnswer: 2, 3, 61, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39531549 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 24. Let g(h) = -56*h**2 - h + 2. Let x be g(a). Let l = x - 1230. Round l to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 13, x: 1, v: 3}. What is prob of picking 2 u and 1 v?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21323210 - 12313?\nAnswer: 21310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/8*7\/((-21)\/108). What is the greatest common factor of d and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115729877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 + 12\/3. Suppose -3*h = 6*h. Sort -2, 4, b, h in decreasing order.\nAnswer: 4, b, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2906677056 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27416 and 204976?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, 167, 2\/7, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-770)\/(-616))\/((-45)\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(5*(sqrt(896) + sqrt(896)*3 - sqrt(896)) + sqrt(896))\/(sqrt(512)*3*-5).\nAnswer: 16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 132*i**2 + 66*i**2 + i**3 + 67*i**2 - 1 - 4*i to f*i**2 + t*i + v*i**3 + x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-63))\/((87\/435)\/(14\/5))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 102 = -108. Let b(k) = 4*k + 25. Let s be b(h). Calculate the remainder when 133 is divided by (s + (-4)\/3)\/(33\/(-2673)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 15*f**2 - 5 + 155*f**3 - 19*f**2 + 4*f**2 - 8*f - 155*f**3 in the form a*f**4 + d*f**3 + j + m*f**2 + z*f and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224177561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2204 = -19*a + 7201. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -p + 5*u - 1, u = -5 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 97818*s**4 + 360 + 459 - s**2 - 97820*s**4 + (s + 5 - 5)*(-3*s**3 - s**3 + 3*s**3) as o*s + p*s**3 + d + n*s**2 + t*s**4 and give d.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - 114 - -65 - (4 + 28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 47, 1, 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185, -774, -1757, -3134?\n\"Answer: -197*w**2 + 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 639555 and 93673489?\nAnswer: 1405102335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5488 and 78?\nAnswer: 214032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2 - 673*u - 46410 = 0.\nAnswer: -595, -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**8\/56 + 8*a**7\/35 + a**6\/40 - 7*a**4\/8 - 5*a**3\/3 - 6333*a**2. What is the second derivative of m(p) wrt p?\nAnswer: -120*p**3 + 576*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 14. Let y(i) = -i - 2. Let k(b) = -l(b) - 3*y(b). Suppose 5*c = 3*a - 2*a + 24, 0 = 4*c - 2*a - 18. Give k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-234)\/(-10) - (28\/20 - 1). Let u(q) = -q**3 + 24*q**2 - 20*q - 45. Let z be u(m). What is the remainder when 3320\/z - (2 - 8\/3) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3248, -8, 27, 0.1, -3\/7, 0.2, -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -986599.77110013 + 0.3?\nAnswer: -986599.47110013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -489989 + 490019. Let 0*d + 70*d**2 + 0 - c*d**3 - 5\/2*d**4 = 0. What is d?\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -8\nAnswer: -101\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g**2 + 7*g + 31. Let p be d(-4). Suppose -13*t + 295 = p. Solve -t*k = -12*k - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d**3 - 190*d**2 - 15*d - 13. Let g be o(-19). What is the highest common factor of 3944 and g?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -79*m - 125. Let t be r(-4). Sort -1\/3, 7, t, -4 in decreasing order.\nAnswer: t, 7, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9142073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - -260. Is -15*(-1 + d\/(-21)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 34. Let k be i(-5). Let x = -2\/41 - -47\/123. Which is the nearest to k? (a) x (b) -1.7 (c) -1\/4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 131\/4 + (-6)\/8. Suppose -b + z - 3 = 0. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 + 4. Let u = t - 0.5. Sort u, 4\/5, 4.\nAnswer: u, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-4)\/d)**(1\/44) assuming d is positive.\nAnswer: d**(-3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -64*r**2 - 2247*r - 102. Determine y(-34).\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 - (3 + 1) - -15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrffrwfhrhr. What is prob of picking 2 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -245 + 588. Let a = p + -345. What is the second smallest value in -4\/5, -4, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -416\nAnswer: 25\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (35 + (4 - 6 - 8))) + 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 30, 58, 108, 186?\n\"Answer: r**3 + 2*r**2 - r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u + 41. What is m(-2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10273 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let i(s) = s - 2. Let x be i(4). Let b(c) = 3*c**2 - 425 + 425 + 2*c**x. Give l(b(y)).\nAnswer: -75*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14029 divided by 12.\nAnswer: 14029\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 110 - 6*f - 109 + f**2 + 7*f to o*f + n + h*f**2 + l*f**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*a*u**2 - 3*a*u + 68*a - 2*u**2 - u - 12 wrt u?\nAnswer: 482*a*u - 3*a - 4*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1055.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -6.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 20 = 0, 0 = 5*f - 7*u - 125 + 183 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135521\/27 - -5019. Find the common denominator of d and -13\/1041.\nAnswer: 9369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014489 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - d - d = 22, -3*d - 3 = 2*y. Suppose 5*t - y*t = 1. Let w be (-10 - t)*(-6)\/9. What is the greatest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15617 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14649894 by -18.\nAnswer: -813883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.4*273.\nAnswer: -3658.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 + 11*c**2 - 5. Let i(a) = 4*a**3 - 6*a**2 + 2. What is -11*i(d) - 6*q(d)?\nAnswer: -2*d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18132.159 months?\nAnswer: 15.1101325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 9) + 10 + -31\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 + b**3 - b + 2*b**2 - 2*b**4 - 2451 + 2454 as m*b**2 + y + j*b + g*b**4 + n*b**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*d**5\/3 + 18350*d**4\/3 + 5395082*d**3\/3 + 76210768*d**2\/3 - 3203560*d = 0. Calculate d.\nAnswer: -566, -15, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -6*(-3 + 3 + sqrt(847) + -1 + sqrt(847) + -1))*1*-6)**2.\nAnswer: -142560*sqrt(7) + 4398948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 112 = 5*h + 40 + 38 - 9 - 0, 5*i - 6*h + 36 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -2, -3\/59, 0.4, -0.3 in increasing order.\nAnswer: -2, -1.3, -0.3, -3\/59, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18444244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -278*t + 280*t - 4*p, -40 = -4*p. Let q be (-2)\/(-10) - (-24)\/5. Solve 4*g - 3*g = -u + t, -q*u - 2*g + 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634020 is divided by 317006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52992 + 18*k**3 - 52992)*(2*k**2 - 3*k**2 + 2*k**2).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 7, b: 1, r: 6}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 12*r = -z + 5, -4*z + 2*r = -30. Solve 13 + 6 = 2*c + 5*d, z = -2*c + 4*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**2\/2 + 4*g - 853. What is a(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from {k: 6, t: 4, h: 3, g: 1, p: 1}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -228, -235, -244, -261, -292, -343?\n\"Answer: -n**3 + 5*n**2 - 15*n - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b5 - 11847?\nAnswer: -12c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32540707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-15\/2)\/(h**1*h)**24)**(-14) assuming h is positive.\nAnswer: h**707","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x**3 - 2*x**2 + x. Let p be c(1). Suppose 72 = -9*w + p*w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 30*g + 6 - 1 to the form o + l*g and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 6. Let z be j(0). Let y be 3\/4 + (5 - 330\/(-40)). Suppose -y = -z*f - f. Sort -4, f, -13.\nAnswer: -13, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 32839902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2\/59, 1, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16868.377 or 1?\nAnswer: -16868.377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(7) + sqrt(63)*4 + (sqrt(252)\/sqrt(9))**2)*-2.\nAnswer: 116 + 52*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*f - 1598, 0 = -4*l + 6*f - 2*f - 3220. Let i = -3333 + 26749\/8. Find the common denominator of i and 3 - ((-6)\/(-10) + l\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 274.\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -5180?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 + 120\/(-21). Let n(j) = -j**3 - 7*j**2 - 6*j + 5. Let u be n(p). Suppose 0 = -h - h. Sort u, h, -1.\nAnswer: -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k + k - w, 0 = 2*k + 2*w + 2. Let p(r) be the second derivative of -r**4\/12 + r**2\/2 + r. Calculate p(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*r = 2, -4*v - 53*r + 54*r = -15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 16.2 (c) 2\/9 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 23 - (-8 + 35)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178116 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9*z = -696. Which is the closest to 2\/7? (a) 1\/3 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:13 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330 - -230?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 2*j**2 - j - 1. Let f = -317 + 319. Calculate p(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 112*d + 10832. Give w(-97).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 2*q**2 + q. Let w be u(2). Let j be ((-2)\/w)\/(3\/(-18)). What is the units digit of (10\/j)\/(1\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 + -180. Let o be 5\/(175\/4) - (-2)\/(-5). What is the second smallest value in x, -4, o, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 53. Determine m(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.5 rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/3 - i**3 + 4*i. Let k be o(4). Let j(w) = 14 + 7*w + 3*w - k. Let r(s) = 2*s - 5. Give 3*j(p) - 16*r(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thsi when four letters picked without replacement from {h: 2, s: 1, i: 7, t: 4, u: 1}?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 236432121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -24*x. Let n(z) be the third derivative of -1\/24*z**4 + 0*z**3 + 0*z + 3*z**2 + 0. What is n(q(w))?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3971*l - 3970*l = 4*i - 7, 5*l + 2*i = -35 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000115676 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51401, 102809, 154223, 205643, 257069, 308501?\n\"Answer: 3*q**2 + 51399*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/77, 0.3, -4, -3\/2 in increasing order.\nAnswer: -4, -3\/2, -1\/77, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46855792?\nAnswer: 2, 719, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109.5 + 209. Let a = 68 - f. What is a rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 36*m**3 + 2*m**2 - 2*m - 3. Let l be j(-1). Is 49 a factor of (-994)\/(-35)*l\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 439\/10 - 5687\/130. What is the closest to -2 in 6, 3, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4*l - 92*h**3 + 2*h**2*l**2 + 29*l**2 - 14 wrt h?\nAnswer: 4*h**3*l - 276*h**2 + 4*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*6*(-2 + -5*(sqrt(1573) + 1) + sqrt(1573) + sqrt(1573)).\nAnswer: 80 + 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 48 = -m + 4*m - 50*l - 50, 0 = m - l - 0*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 5*g. Suppose -3*y - y + 20 = 0. Let f be s(y). Factor f*r**2 + 2*r - 6*r - r**2 - r**2.\nAnswer: -2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v**3 - 372*v**2 + 73*v + 182. Calculate o(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 greater than 1\/510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 649849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37\/57 + -6\/19. Let x = -10 - -6. Let i = x - -3. What is the closest to b in 0.3, -0.2, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355972347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/14*(-4)\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8613889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 40?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 9*k - 4 = 0. Suppose -2*t + 3434 = 3*i, -2618 = -k*i - 2*t + 1964. Suppose 10*q - i = 6*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times -0.05?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -76.8 (c) -0.5 (d) 2\/5 (e) 4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87321760 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: 0.445 - -73746710\nAnswer: 73746710.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 6 = -12*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.1. Let g = 0.603 - -2.907. Let r = -0.51 + g. Which is the nearest to v? (a) -2\/3 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 + 2*s. Let v(z) = -68*z**3 - 6*z**2 - 8*z - 60. Let i(u) = -4*t(u) - v(u). Find the third derivative of i(x) wrt x.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/2 + 10659*v**3\/2 + 1468062*v**2 - 1473392*v = 0. Calculate v.\nAnswer: -10376, -284, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = 5*f + 3*b, -f + 0*f = 2*b - 303. Let j = f - 150. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875510?\nAnswer: 2, 5, 29, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 + 86 - 67 - r**2 as u + m*r + k*r**2 and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -40 + ((-16)\/(-64))\/(156\/24996)\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7 = 10*w + 49 + 10, -210 - 51 = -5*p + 41*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 20*c**3 - 3*c**2 - 5*c + 13. Let k be r(3). Let z = k - 292. List the prime factors of z.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*s - 19802 - 19408 = -7734. Let m = 41 - -48. What is the remainder when s is divided by m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 0*o + 38654 = 0. Calculate the remainder when o\/(-28) - (-1 - (-3)\/2) is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from innnnmiiinmiiiimm.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-12) + (-3)\/18. Solve 3*v - 3 - j = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o. Let x(l) = -5*l**3 - 9*l**2 + 34*l. Let t = -98 - -99. Let g(z) = t*x(z) - 3*p(z). Find the second derivative of g(f) wrt f.\nAnswer: -12*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 657730422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 24. Differentiate 14*w**3 + 5 - s*w**4 - 14*w**3 with respect to w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 865 = -s, 5*s + 4*l - 3256 = 1012. Let p = s - 604. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 22122?\nAnswer: -22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**3 - 2*s**2 + 2*s - 1. Let l be p(1). Suppose -10 = -r - 4*v + 9, 25 = 2*r - 5*v. Suppose r = g + l. Solve 0 = -3*u - u - g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390 - -503. What is the remainder when x is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 21*d - 34 = 0, -55*d - 2 = 3*r - 57*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063201.\nAnswer: 1063201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 134?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 5:53 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.32 + 106.32. Let d = z + -100. Let w = -71\/12 - -31\/6. Sort d, -4\/5, w in increasing order.\nAnswer: -4\/5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4 - 480*v**3 - 476*v**2 + 480*v + 478 = 0.\nAnswer: -239, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 298, -5, -0.2 in increasing order.\nAnswer: -5, -0.2, 2, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 307, 3, 60 in descending order.\nAnswer: 307, 60, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 2130 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 47\/9 + 18\/(-81). Suppose -2*k + 3*m = -6, k - 5*m = a*k + 10. Suppose k = -b + 5*b + 12. What is the biggest value in 0.1, b, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3075, -3322, -3999, -5322, -7507, -10770, -15327, -21394?\n\"Answer: -36*g**3 + g**2 + 2*g - 3042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28767 from 9.42919.\nAnswer: -28757.57081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Let c(x) = 15*x**q + 8*x**2 + 8*x**2. Let u(r) be the first derivative of r**3\/3 - 35. Calculate c(u(i)).\nAnswer: 31*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n + 3*v + 5, -7 = -5*n + v. Solve 22*s - 21*s - n = -4*a, -a - 5*s = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2 + 7*w + 5. Let b be q(5). Let l(g) = -g**3 + 26*g**2 + 3*g - 52. Let n be l(26). Calculate the highest common factor of n and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*v + 4, -2*v + v - 2 = 2*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400769 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, 61, 102, -2 in ascending order.\nAnswer: -3, -2, 3, 5, 61, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 5*d - 4. Let z be a(-4). Let p(l) = -l**3 + 4*l**2 - 13*l + 53. Let s be p(4). Solve z = -2*u + u + 5*i - s, -3 = 3*u + 5*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*c + 2914*c + 17*c**2 - 654*c - 643*c - 654*c - 316*c.\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*p - 13, -5*p + 6*p + 9 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:59 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -63*o + 34. Calculate i(-3).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 9. Let w be z(6). Let x = w - -11. Let j(t) = -7*t + 2. Let r be j(-2). Calculate the greatest common divisor of r and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42802697.\nAnswer: 7, 6114671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265 (base 11) to base 8.\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Suppose -42 = -30*l + 138. Let g(w) = -7*w - 3. Calculate l*t(a) - g(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1359134)\/(-126) - (-2)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 5, r: 1, c: 2, b: 3}. Give prob of picking 1 b, 1 g, and 1 c.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 142*x**3 + 2*x**2 + 5*x**2 - 141*x**3 - x - 7. What is o(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/2 + 3\/(-6). Suppose m - r - 32 = 0. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17283557, 34567116, 51850675, 69134234, 86417793?\n\"Answer: 17283559*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/23)\/k*k**(4\/7)\/k)\/(k**(-2\/15)\/(k\/k**7)))\/((k\/(k*k**(4\/5)\/k))\/((k\/((k**(1\/4)*k)\/k))\/k)*(k\/(k*k*k**(-1\/2)*k))**45) assuming k is positive.\nAnswer: k**(576391\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 404686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 2:13 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2078444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o, -2*o - 18 = s + 2*o. Suppose 3*g + 8 = -7, 5 = -s*y - 5*g. What is the remainder when 27 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281*5\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhhvmvvhvhvh. What is prob of picking 2 m?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f + 2*u + 6, 15 = 3*f - 5*u. Calculate the remainder when 52 is divided by (-4 - -13) + f + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.08 (b) 2\/9 (c) -3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-14 - (0 + -13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 440707065 divided by 384897\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = t - 4*x, 0 = 26*t - 23*t - 5*x + 1. Is 4*(-8)\/(-16) - t*431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2050 + 3?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3438\/360 + (21 - 25) and 99\/4670.\nAnswer: 9340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257 is divided by 442.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-52.2.\nAnswer: -156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.87 - -0.23. Let a = 1.1 - v. Is a at most 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48919, -97835, -146749, -195661, -244571, -293479, -342385?\nAnswer: -391289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-3) + 3235\/(-15). Is y bigger than -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a**(-6)\/a)\/(a\/a**7*a*a**(-3\/2))*(a**0\/a)\/(a*a**(-4))*((a**(6\/11)*a)\/a)\/a**8 assuming a is positive.\nAnswer: a**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9272967 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 + 10*u + 8. Let d(y) be the first derivative of -y**3 + 7*y**2\/2 + 5*y + 130. Let t(l) = -7*d(l) + 5*k(l). What is t(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, q: 1}. Give prob of sequence qu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 61 + 6 + 23 = 0. Sort h, -3, -6, -8 in decreasing order.\nAnswer: h, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**7\/2 - 10*p**6 - 1029*p**5\/20 - 227*p**4\/2 - 122*p**3 - 60*p**2 - 2*p - 23. Let a(x) = 0. What is x?\nAnswer: -10, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) - (sqrt(468) + 0)) + -4 + 0 + (4*(sqrt(143) - -2*sqrt(143)))\/(sqrt(66)\/sqrt(6)*-2).\nAnswer: -11*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*m**4 + 5*m**2 + 107 wrt m.\nAnswer: -48*m**3 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.81907m in millimeters?\nAnswer: 36819.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11902140 divided by -595107?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 50*k**2 + 3*k - 31. Let o(m) = 52*m**2 + 2*m - 27. Determine 3*o(i) - 2*s(i).\nAnswer: 56*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*l + 159, -3*x = -0*x + 3*l - 126. Suppose -2*u + 11 + x = 0. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*y - 71, -5*y - 25 - 3 = -o. Suppose -2*l + o = -23. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 12) in base 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 171.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 7475.\nAnswer: 164450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*m + 231. Let w(b) = 2*b**3 + 4*b**2 - 2*b - 4. Let k be w(-5). Let i = m - k. What is the highest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14126048 divided by 2\nAnswer: 7063024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430439087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-665)\/133*9\/165)\/(1\/(-6))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 340967 - 1908967. Round m to the nearest ten thousand.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 27 = 2*g. Let l(z) = z**3 + 9*z**2 - 10*z - 10. What is the units digit of l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**12)**(-9\/7) assuming h is positive.\nAnswer: h**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/756*56\/(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Let w be (-5 + y)\/(1\/(-8)). Let r be (-161)\/(-4) - 1\/4. What is the highest common factor of w and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 73. Suppose 0 = 3*z - w*j - 9, 0 = 3*z + 4*j - 9. Solve -z*f - 2 = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489\/2 + -240. Let t = -36 - -45. Let b = t - 3. Do f and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979099.\nAnswer: 11, 89009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 33 - 6 + 74 - 244*s + 0. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 13217*m - 13218*m + 2*z, 7 = -6*m - 5*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57*((-160)\/16)\/10*(-3)\/(45\/(-35)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 537497520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.006888\nAnswer: -0.0027552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.07 - 0.78. Let l = q + -1.09. What is the nearest to l in -0.4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108036.\nAnswer: 2, 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a factor of 436133654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - 10. Let i = y + 61.5. Which is the nearest to -1\/3? (a) -2\/69 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 784.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {q: 5, p: 1, c: 3}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 - 1 = -u, -q - 1 = -3*u. Solve -4*z + b + 2 = 0, -8 = -2*z + 5*b + u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.94 + 0.93999965. What is y rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007401746418 rounded to seven decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3626 and -17\/2.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2264 and 32?\nAnswer: 9056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19361.\nAnswer: 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3413305 divided by 487615.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -8194329\nAnswer: 655546.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14613 + -72262\/5. Let q = m + -165. Which is smaller: q or 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + ((sqrt(133) + sqrt(133)*1*6 + ((sqrt(133) - sqrt(133)*-2) + sqrt(133))*-4 + sqrt(133))\/(6*3*sqrt(7)*1))**2).\nAnswer: 1216\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5\/6 - 2253975*j**4\/2 + 1143078909220*j**3\/3 + 2667221312210*j**2 + 18289600644880*j\/3 + 4572410304160 = 0.\nAnswer: -3, -2, 676196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - x**3)*(-x**2 - 3*x**2 + 2*x**2) + (0*x**2 - 2*x**2 + 4*x**2)*(-2*x**3 + 3*x**3 - 4*x**3).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*y + 20*y - 389*y.\nAnswer: -1119*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 67*r - 2274. Determine m(28).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(475) + sqrt(475))**2 - (-4 + 4*sqrt(19))) + -5)*-4 + -1 + 2.\nAnswer: 5 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 214, 1081, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2505048 and 1365?\nAnswer: 12525240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 + 120. Calculate the lowest common multiple of 15 and t.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5237646.954 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - ((-4)\/(-2) + -12). Sort 4, -1, -5, i in decreasing order.\nAnswer: i, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 106631?\nAnswer: -1066.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*a = 114 + 100, -3*a = 3*i - 219. Calculate the highest common divisor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x - 6. Let y be w(-2). Let v = 8 + -8. Let u = v - 0. Is u less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1111806479515 and -44.\nAnswer: -1111806479559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 89180, 178317, 267420, 356489?\n\"Answer: -17*f**2 + 89188*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 9.5. Let w = -4.05 + 0.05. Sort -0.2, w, y in increasing order.\nAnswer: w, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -54*z - 325. Let r be j(-6). Let u(q) = q**3 - 1. Let h(y) = 15*y**3 + 4*y - 6. What is r*h(k) + 6*u(k)?\nAnswer: -9*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/12 + 257*y**3\/6 + 129*y**2 + 27*y + 37. Factor h(d).\nAnswer: -(d - 258)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p - 196 - 255 + 543. Suppose 4*k - k = -3*x - 66, 5*x = -2*k - 95. Is v(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:34 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.53512, 0.5, -2\/5, -5 in increasing order.\nAnswer: -5, -0.53512, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 550 + -546 + (-3 - 0 - -10) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -24838*n**3 + 4*n**2 - 12*n - 14. What are the prime factors of r(-1)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose 121 = 5*q + 16. Suppose -o*r = -r - q. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58429 is divided by 1228.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 + 7*k - 12. Let h be b(-4). Let s(c) = 2*c**3 - 17*c**2 + 8*c + 4. Calculate s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 88753.023 milliseconds?\nAnswer: 0.0246536175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n + 1. Suppose 3*j + 4*m = -19, j + 4*m + 2 = -7. Is p(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 139209922381.\nAnswer: 139209922364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 15 = 5*y, 0 = -2*g + y - 5*y + 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 58a7 (base 12) to base 11\nAnswer: 74a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-480)*5\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 4*y + 2*y)*(-1 - 2 + 1) + (2 - 3 + 0)*(15*y - 35*y + 10*y))*(8 - 7 - 8).\nAnswer: -84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12242, 12244, 12246, 12248, 12250?\nAnswer: 12252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*n - 43*n**3 - 298*n.\nAnswer: -43*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 121.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*v**2 + 22*v - 5*v + 3 - 14*v.\nAnswer: 53*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y**4 + 42755*y**3 - 172890*y**2 + 147220*y - 33960 = 0.\nAnswer: 2\/5, 2\/3, 3, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25756395 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/7 + 60003*b\/7 - 9608712.\nAnswer: -3*(b - 18809)*(b - 1192)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 6*p**2 - 11*p + p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1118*v - 6725. What is a(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3*r. Let d(y) = 4*y**2 + 1. Let k(w) = 10*w**3 + 8*w**2 - 34*w + 2. Let z(g) = 2*d(g) - k(g). Determine 68*a(h) + 6*z(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.66431 rounded to two dps?\nAnswer: -27.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwwp when four letters picked without replacement from wwrppwppww.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148738169 to the power of 1\/2, to the nearest integer?\nAnswer: 12196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 973149 and 24?\nAnswer: 7785192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 47, 51, -70?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 312, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 297*k**2 - 189*k - 6 = 0. What is k?\nAnswer: -1\/33, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-13)\/(195\/(-10)))\/(3\/630)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/12 - o**3\/3 - o**2 + 2. Let j(a) be the second derivative of s(a). Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 6. Let h be l(0). Let p = h - -10. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6\/7)*o)\/o*o*o)\/(o*(o\/(o\/(o\/(o*o**1\/o*o)*o)))\/o)*o*(o*o*o**(-13)*o)\/o*(o*o**8)\/o*o)**(-28\/3) assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43957 is divided by 3106?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*l**4 + 14439 with respect to l.\nAnswer: 392*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 + 5*d**2 + d**3 - 11*d - 1 - 16*d**2 + 8. Let l be u(12). Is -2*l\/(-2) + -2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 4, -70, 70 in ascending order.\nAnswer: -90, -70, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 7*y**2 + 7*y + 5. Let p be g(6). Let o = p + -9. Let w(i) = -o*i - 4*i + 4*i. Let z(k) = -12*k**2. Calculate w(z(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 278745715844.\nAnswer: 278745715843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Suppose -3*x + 3 = -s - 4*x, 0 = s - x - 5. Suppose 2*b = -9 - s. Put 2, b, d in decreasing order.\nAnswer: d, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 3*g - 9*g - 4.\nAnswer: -19*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204659 rounded to three dps?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13089710 is divided by 256660.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*j + 12 = -7, -2*h = -j - 7. Let u be 25 - (1 - (-1 - -4)). Let d be (122\/(-12) - -11)*(3 + 3). Solve d*r - h = -u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -3857, -35, 18 in decreasing order.\nAnswer: 18, 5, -3, -35, -3857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5831420000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62706640 and 0.5.\nAnswer: 62706640.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 24. Let d(h) = -8*h**3 - 41*h**2 + 8*h**2 + 7 + 26*h**2 - 7*h. Let n(c) = 7*c**3 + 6*c**2 + 6*c - 6. Give m*n(g) + 6*d(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-1)*(99 - 86). Solve 9 = -a + 5*m + z, 2*m = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99473422 to the power of 1\/2, to the nearest integer?\nAnswer: 9974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0*w**4 + 0*w**6 + 0*w - 1\/42*w**7 + 7\/20*w**5 + 0*w**3 - 3*w**2 + 0. What is the third derivative of c(z) wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nbnbbbncnn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 669344127.\nAnswer: 669344108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - -3041?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Let v = -1.615 - -0.011. Let g = -0.604 - v. Which is the biggest value? (a) g (b) q (c) 0.01 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003413828321 rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -39*y + 285 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427993674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 5*v**2 - 851*v - 17*v**2 + 353*v + 373*v.\nAnswer: -28*v**2 - 125*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -1017, -2293, -4079?\nAnswer: -6375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 + 11*i + 6. Let b be w(3). Let q(g) = -22*g - 45. Calculate the remainder when q(b) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6468949*n**4 + 202*n**2 - 11*n - 303.\nAnswer: 155254776*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:58 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*k**3 - 3*k + 6 + 4*k**2 - 6*k**2 + 0*k**2 in the form i*k + t + x*k**3 + o*k**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 29 + 29 - 27*x**3 + (x**3 - 2*x**3 + 0*x**3)*(1 - 2 + 0).\nAnswer: -26*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 207*b**2 + 4*b + 325. Calculate y(-207).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98744607, 197489209, 296233811, 394978413, 493723015?\n\"Answer: 98744602*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 + 21628612*p**3 - 129771576*p**2 + 259543088*p - 173028704 = 0. What is p?\nAnswer: 2, 5407147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -3209, -6238, -9267, -12296, -15325?\nAnswer: -18354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6154450 and 5\/246178.\nAnswer: 6154450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25213 rounded to 3 dps?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23346901.\nAnswer: 23346901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.809 - -2.391. Let k = -0.29 + -8.91. Let f = k + z. Which is the nearest to 0.1? (a) -1\/5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-30)*((-54)\/36720*390 - 9\/51).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1565306280 divided by -86615\nAnswer: 18072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -31*b - 7. Let v(r) = 16*r + 4. Let w(u) = -7*v(u) - 4*x(u). Let y(p) = 2*p + 4*p - 5*p. Give y(w(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88115.2993 rounded to the nearest one hundred?\nAnswer: -88100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311*m + 2*i = -1310*m - 12, 0 = 3*m + 2*i + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1052.64848 + 2.65248. Let u = o + 1048. Let p = 2 + u. What is p rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0659 + 1.0659. Let j = -140 + 207. Sort 5, z, j in decreasing order.\nAnswer: j, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 74 = -6*w, 0 = 3510*s - 3507*s + w - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194690587 and 13832?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008543113 rounded to 7 decimal places?\nAnswer: -0.0000854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 18. Let j be k\/1 + 6 + -6. Suppose g + 6 = j*v + 2, -9 = -v + 4*g. Calculate the remainder when 1 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f. Let w be y(8). Solve -4*q + w*o - o = -8, -o = 3*q - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -735*j**2 - 12*j + 24 wrt j.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 21*w**2 - 26*w - 51. Let s be t(-14). Solve s*g = 1682*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364415771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**5 + 18*g**3 - 3*g - 88.\nAnswer: 80*g**3 + 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 88?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*(2 + sqrt(125)))*6)**2.\nAnswer: 15120*sqrt(5) + 163764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 1357.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.04 (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 4. Let f be h(-1). Suppose p - 65 = 5*r, -2*p + 4*r - 332 = -f*p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7235*l + 8682. Let q(r) = r - 1. What is 8682*q(a) + y(a)?\nAnswer: 1447*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3785\/2 + -1853. Find the common denominator of 34\/19 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2743, 4046, 5349, 6652, 7955?\nAnswer: 9258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 13*s**2 + 19*s - 7. Let h be m(4). Which is the closest to h? (a) -4\/7 (b) 5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8\/m*m**(-2\/13)*(m\/((m*m\/(m*m**2*m*m)*m*m)\/m))\/(((((m\/(m*m**(-2\/17)))\/m*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(2813\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 2*q. Let w = -7929 - -7950. Let n(x) be the second derivative of -x**4\/12 + 7*x**2\/2 + x. Let k(l) = -1. Calculate q*n(c) + w*k(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -939*a**3 + 192 wrt a?\nAnswer: -2817*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2395404*r - 2 - 2397108*r to o + t*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4 + 3. Let y = d + 16. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.302871 millilitres to litres.\nAnswer: 0.002302871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41329\/1046 - 6\/523. Suppose -5*x = -v - 21, 2*v + 4 = -2*x - 2. Calculate the common denominator of 142\/4 - (v - -3) and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 118 (c) 3 (d) -3\/2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(62\/(-651))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*a - 2 = 1, 0 = f - 3*a - 15. Suppose -4 = -2*d - 3*l, 2*d + 3*l - l = f. Solve -d*t + 19 = i - 0*t, 2*t = -2*i + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1271 + -1270.5. Let m = -0.107 + 3.107. Which is the third smallest value? (a) -0.4 (b) v (c) 10 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2788?\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q + 2*q)*(0 + 2*q + 0 + 1 + 2*q - 1 + q + q - q + (-3 - 3 + 8)*(5*q - 2*q - 2*q) + 7*q - 2*q - 3*q) as k*q + x*q**2 + g and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -3. Let p be (4 - 144) + v\/4. Let o = p - -192. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 8 = 12*k. What is the third derivative of 4*r**2 - r**k - 13*r**5 - 2*r**5 + 2*r**5 wrt r?\nAnswer: -780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 27156*t**2 + 46008945*t - 277032150.\nAnswer: (t - 6)*(2*t + 6795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9*6)\/(-1) + 1. Calculate the highest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318090378.\nAnswer: 2, 1159045189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 25 = 2. Suppose -69*x - 126 = -747. Calculate the greatest common divisor of z and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 - -86. Suppose -4*b - 8 = -80. Is 15 a factor of b*(l\/3 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 547\/7 - 78. Let i = -3\/7 - h. Put 2, -5, i in increasing order.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -27. Let w = 11 + n. What is the closest to 0 in 2, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (15 - (17 - 11))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10242900 rounded to the nearest one hundred thousand?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1251, -4991, -11223, -19947, -31163, -44871?\nAnswer: -61071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 13 (c) -0.2 (d) -0.6 (e) 3\/29 (f) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13285, 13286, 13287?\nAnswer: 13288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 89*t**4 - 3*t**3 + 9*t**2 + 218. Let y(c) = -c**4 - c**3 + 3*c**2 - 1. Let o(j) = -s(j) + 3*y(j). What is the derivative of o(k) wrt k?\nAnswer: -368*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 9*v**2 + 10*v - 12. Let z be i(8). Let n = 8889 - 8871. Sort n, 0, z, 3 in ascending order.\nAnswer: 0, 3, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3555 divided by -711.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 56270 = 56295 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2. Let j be (-1 - m - -1) + 6. Let u = -0.46 - -0.06. What is the smallest value in j, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.04215856 rounded to zero decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 2, r: 2, i: 1, u: 8}. What is prob of picking 1 r, 1 u, and 1 i?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3767246.\nAnswer: 5\/3767246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492812174 and 31422.\nAnswer: 10474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 54 + 13*a)*(a - 3*a + 0*a)*(-7*a + a + 14*a).\nAnswer: -208*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 + 7*d + 3. Let n be 0 - (3 - 4 - -11). Let s be (6\/(-10))\/(n\/100). Does 4 divide o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*w**3 + 18*g*w**2 - g*w + 4*g - 37*w**6 - w**4 wrt w.\nAnswer: -12*g - 4440*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 253\nAnswer: -47\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 2 = 13*u. Let a be 5\/(((-5)\/(-6))\/u). What is the third derivative of -81*k**2 + 2*k**5 + 73*k**2 - 2*k**5 + 5*k**a wrt k?\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -4*i**3\/3 + 1574. Let p(v) = 221*v. Give p(d(r)).\nAnswer: -884*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -233677444?\nAnswer: -233677447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 0*l + 0*l + 0*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 52 + 252. What is the hundreds digit of 2\/(-10) + (-17410)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 154, -5, -95179.\nAnswer: -95179, -5, 5, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/28 and 99\/3640.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 53*w = 2*o - 8, -w - 5*o + 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - r - 45 - 76, 0 = -a - r + 59. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*3)**2 + 3 - sqrt(2299)*1 - (4*(-4 + sqrt(171)*3))**2.\nAnswer: -24706 + 1141*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 16*q**2 + 11*q + 39. What are the prime factors of z(-18)?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -3)*(5 + -14). Let o be (-1)\/(1 + (-30)\/s). Calculate the highest common factor of o and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5886)\/(-2268) + (-10)\/4 - (-1900)\/(-105)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 + 6*d - 5. Determine o(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/10)\/((-2)\/25). Let z = u - 6. Suppose z*v + 0*w + w = 585, -4*v + 565 = -3*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 14*v - 38. Let b(p) = p - 13. Let j be b(23). Let f be h(j). Solve f*y + 1 + 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l*l**10)**(24\/5) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 13 (b) -114 (c) 6743 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8614375 nanometers in kilometers?\nAnswer: 0.0000000000008614375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 + 99*t - 335. Let f(w) = 8*w**2 - 100*w + 335. Let y(d) = 6*f(d) + 7*n(d). Differentiate y(v) with respect to v.\nAnswer: -2*v + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6208 (base 11) to base 6.\nAnswer: 102044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8009 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: What is -0.000004952042983 rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1*6\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -116175, -232496, -348817, -465138?\n\"Answer: -116321*o + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 19*v + 10*v - 607*v**2.\nAnswer: -607*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*15.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 536.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 66. Let p = a - 34. Suppose -3*d = -4*d + p. Solve -d = -x - 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-442) + (-377454)\/(-5187).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -549*b + 29. Let i(r) = 2*r**2. What is l(i(n))?\nAnswer: -1098*n**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.1757 and 40.\nAnswer: 207.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2052 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/(-1824))\/(12\/(-32))*(-102)\/((-9)\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 374484 (base 9) to base 13.\nAnswer: 7c078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3808*a**2 + 57247*a + 1900. Determine p(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, h: 2, c: 7}. What is prob of picking 4 p?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1.87 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -63. Let y = -24.9999999 + g. What is y rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1011*o - 7*o**2 - 509*o - 499*o + 5 + o**3. What is r(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 23 + 263 + -283\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4165.2258 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 6*n**2.\nAnswer: 3*n**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 + (-56 - (-10492)\/183)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.44 - -24.8. Let i = -0.24 - d. Let z = i + 3.6. Sort -1, 0.03, z.\nAnswer: z, -1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1. Let z(m) = 4*m - 1. Let l = 30 - 31. Let q(y) = l*z(y) + g(y). Let r(a) = -a + 2 - 2 - a. Calculate q(r(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 19*l + 12. Let y be n(6). What is y rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6449813, 12899711, 19349609?\nAnswer: 25799507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 26 = u - 11 + 1, 0 = 31*u + 12 - 43 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2546586nm in centimeters?\nAnswer: 0.00000002546586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-10) + 2 + (-1)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188496024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 6*o - 1. Let w be v(4). Let z be (2\/4)\/((-8)\/(-32)). Suppose 0 = -2*f - 10, -5*a - 3*f = -z*a. Solve w = -a*m - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5937\/(-6))\/((-3)\/6). Let q = -25741\/13 + k. Let t = 2853\/4 - 699. Find the common denominator of q and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 80571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2080*z**3 - 6748*z**3 + 1424*z**3 - 461*z**3.\nAnswer: -7865*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 8 + -4) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 4, -56, -11 in descending order.\nAnswer: 4, -1, -8, -11, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 4992*g - 4989 = 0. Calculate g.\nAnswer: 1, 1663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1330712 and 17\/32?\nAnswer: 5322848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 25 + (-14 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204*f**2\/13 + 5354*f\/13 + 10024\/13.\nAnswer: -2*(f - 28)*(102*f + 179)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 28*g + 10*g + 15*g to b*g + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/6*789\/4471*(-14)\/10?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 758411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 292. Calculate the remainder when 186 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30\/11*r**2 + 2\/11*r**4 + 4\/11*r**3 + 0 + 0*r = 0. What is r?\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 222 = 7*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5300 - 5299. Solve 0 = 5*q - w + 27 - 11, q + 4*w - o = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510aa3 (base 11) to base 16\nAnswer: c87e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 6. Let n be (-3)\/6 + 231\/i. Suppose p = -p + n. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*o - 151, -8*c + 3*c - 92 = o - 40 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 972403575*a**3 - 4353*a**2 + 3163*a + 1 wrt a?\nAnswer: 5834421450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3 - 9*f**2 + 5 - f**3 + 2*f - 4*f + 3*f. Let z be c(-9). Let y be -2*(1\/2)\/1. What is the closest to y in 2\/5, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132766.\nAnswer: 2, 66383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -37, -421 in increasing order.\nAnswer: -421, -37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6407 at least as big as -583129\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14689307.\nAnswer: 14689307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 22\/6)*(-15)\/(-20). Let o(z) = -2*z + 2. Let y be (-3)\/1*(-2)\/3. Let f(l) = -1 + l**2 + 5 - 5*l - 2*l**y. Give x*f(m) + 5*o(m).\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-39))\/(2093\/54418)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(3\/2)\/(-1). Suppose 5*p = -5*w + 20, -3*p + 3*w = -4*p + 2. Suppose -p*f - 2*x + 0*x + 33 = 0, x - 29 = -5*f. Sort l, -5, f in decreasing order.\nAnswer: f, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 945.0697 - 214.2269. Let i = s + 0.1572. Let n = i + -731.333. What is n rounded to 2 decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (125\/(-100))\/(1\/92). What is the closest to 0 in -2\/5, 3, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 51, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33393 = -30*v - 22833. Let k be 64\/(-6)*(-1 + -2). Calculate the highest common divisor of k and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f + 17. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Calculate the remainder when 96879 is divided by 157.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-27)*n)**22*(n*n**(-8\/7)*n)**(2\/23))**(-5) assuming n is positive.\nAnswer: n**(460400\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1703*n - 8 + 14.\nAnswer: 1703*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76 - 82 - 6*z**4 + 3*z + 158 wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -28\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5933687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 52*a**2 - 103*a + 38. What is the tens digit of p(54)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, h: 2, o: 5, r: 8}. Give prob of picking 1 o and 2 h.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-14)\/3. Suppose -r*b = -t - 10 - 26, 2*b - 3*t = 18. Suppose -c = -19 - b. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -4 + -4 + 10 + 280 and 18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147686 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-228)\/(-16) - (-2)\/(-8). Solve -3*k + 0*k + l = -5*j, -5*k + 10 = -5*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449022825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.3 (b) 1\/4 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49641 or -49578?\nAnswer: -49641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 37*x**2 + 9*x + 25. Let a = 505 + -508. What is the remainder when s(a) is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 27*o**5\/8 - 147*o**4 - 4533*o**3\/2 - 4758*o**2 - 1680*o = 0.\nAnswer: -10, -2, -4\/9, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 208. Let k = z + 49.8. Which is the nearest to -1? (a) k (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.41 - -0.53. Let c = k - 0.9. Let h = c + -0.03999996. What is h rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a - 1. Let b be i(-2). Let g = 14 + b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -7*r**4\/2 + r**2 + 19*r + 33. What is the derivative of j(b) wrt b?\nAnswer: -42*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160825\/18 - 8937. Let j be 591\/12*(-38)\/(-4). Let y = 467 - j. Calculate the common denominator of y and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kktttkt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107, -472, -1087, -1958, -3091, -4492, -6167?\n\"Answer: -j**3 - 119*j**2 - j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 8. Let v(z) = z**3 - 5*z**2 + 3*z + 4. Let j be v(4). Let k(w) = 8 - 3 - 8 - w + j. What is 7*k(m) + 2*q(m)?\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1700) + -2 + (2 + sqrt(17) - sqrt(17)) + -5 - (3 + (sqrt(17) - (sqrt(85)*-3 - sqrt(85))\/sqrt(5)))))**2.\nAnswer: -80*sqrt(17) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2 - 3*l**3 + 0*l**3 - 2*l**3 + 2 - 2 + (-3*l**3 + 0*l**3 + 2*l**3)*(0 + 0 - 1) + 43*l**3 + 11*l**3 - 14*l**3.\nAnswer: 36*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -72*i + 337. Let k(a) = 23*a - 109. What is 11*k(d) + 4*t(d)?\nAnswer: -35*d + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2212 + -32720382.\nAnswer: -32720381.7788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/1)\/(28\/(-7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 52 and 53 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 + -8 - -3) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0837137818 take away -0.1?\nAnswer: 0.1837137818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 4 = 0. Let o(u) = 6*u**3 - 450*u**2 + 8*u - 592. Let w be o(75). Solve -x*l - w = -2*b, 0 = -l + 3 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 5*j. Let y(f) = 5*f**2 + 9*f - 2. Let s(w) = -15*w**2 - 27*w + 7. Let q(p) = 2*s(p) + 7*y(p). Calculate 11*d(x) - 6*q(x).\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-11) - (-757)\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 51. Let y(x) = -x**3 - 2*x - 2. Calculate the smallest common multiple of y(-2) and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 0 + 15 - 2) + -3 + -17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 25 + 3 = 0. Let h be ((-48)\/28)\/((-4)\/b). Find the second derivative of -4*q - q - 15*q**3 + 5*q**3 + h*q**3 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5398*i + 5. Let h be r(5). Let n = 40015 - h. Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 24*t - 84. Calculate the smallest common multiple of (t\/2)\/((-13)\/(-26)) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*y = -3*y - 107 - 80, -3*d - 4*y - 136 = 7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 28 = -a, 24*a - 94 = -2*b + 28*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.095 - 0.095. Let h = -9.2 + -1.8. Let y = w + h. Which is the third biggest value? (a) y (b) 1\/4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -372574 and -372594 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 5*f**2 + (-4*f**2 + 5*f**2 + 5*f**2)*(-14 - 14 + 12).\nAnswer: -101*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 105 = -159. Let b be ((-60)\/16)\/((-3)\/(-1080)). What is the units digit of (-1)\/4 - b\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - c - 1. Let u(g) = 5*g**2 + 9*g + 2. Let l(i) = 3*k(i) + u(i). Let d(w) be the first derivative of l(w). Differentiate d(y) with respect to y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = -6. Let l(w) = 2*w - 2 - 3*w + 0 + 9*w**2 + 3. Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43582 or -23.11?\nAnswer: -23.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -96693.\nAnswer: 1\/32231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*1 + 5\/(30\/24). Let u(c) = -12*c**2 + 112*c + 3. Let j be u(x). Solve j = -4*f + 55 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 44 = 4*o, -330756*d - 4*o - 34 = -330758*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 894 (b) 3 (c) 2.5 (d) -84 (e) 5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + 7. Suppose w = o + 4*o. Let k = -5 - -13. What is the smallest common multiple of k and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let z be 3*((-51)\/(-9) + -4). Suppose t = -w + z*w - 28. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 55*x**2 + 13*x + 824. Give r(-55).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**2 - 106*r**2 + 20*r**2.\nAnswer: -118*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 0.4. Suppose -4*d = -2*y + 16, 1 = 2*y + 5*d + 3. What is the closest to 0.1 in 5, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**3 + 7*m**2 - 4*m + 11. Let s(v) = 4*v**3 - 4*v**2 + 3*v - 6. What is 6*l(o) + 11*s(o)?\nAnswer: 2*o**3 - 2*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 3?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -130, -2, -3.\nAnswer: -130, -40, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 3717009\nAnswer: 9292522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 38*j. Let l(t) = 2*t**2 + 22*t + 20. Let z be l(-10). Let x = z + 9. Let s(f) = 11*f + 6*f - 25*f + x*f. What is b(s(d))?\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364225547?\nAnswer: 7, 193, 269597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (28 + -9 - -4) - 79.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1055, -2055, -3013, -3935, -4827, -5695, -6545, -7383?\nAnswer: -8215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(539) + 1)*-6 + (-1 + sqrt(539))*3 + -5)**2*-5.\nAnswer: -25233 - 2940*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 3. Let c(w) = -7*w**2 - 5. Give -3*c(s) - 5*m(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4843657 - a?\nAnswer: -4843666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + -299 - -282 - (0 + -1 - 17).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -10 (b) 0 (c) 1\/6 (d) -3\/19 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -105*h - 402. Calculate n(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuquuuu. Give prob of sequence uq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10295.9999981418 + 10296. Round c to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*j - 4 - 24 = 0, 35 = v - 5*j + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 20*w**3 - 15448*w**2 + 15448*w**2 - 2 - 2*w.\nAnswer: 20*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/3 + 80*t**3\/3 + 266*t**2 - 80*t\/3 - 800\/3 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 441*w**5 - 57792*w**4 + 1865656*w**3 + 1816320*w**2 + 435600*w.\nAnswer: w*(w - 66)**2*(21*w + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*h - h + 3*h**2 - 339553*h**3 + 339591*h**3 + h**4 to the form s*h**3 + q*h + l*h**2 + g*h**4 + f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -2. Suppose 29 = v*d + 4. Suppose 3*x - x = y - 5, 15 = -d*x. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183159 + -83638. Suppose -7*b = -30*b + z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99886, -98084, -96282, -94480, -92678?\n\"Answer: 1802*j - 101688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54403 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 366*q**2 - 122*q**2 - 123*q**2 - 139 - 135*q + 49*q - 119*q**2 wrt q?\nAnswer: 4*q - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998624157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + 0.3. Let j = 0.32 - s. Let t be (-29)\/(-6) + 11\/66. What is the biggest value in t, 0, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.88 + -1.94. Which is the biggest value? (a) 0 (b) -2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49012 - -48554.93. Let z = 459 + d. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t*t**(-6)\/t)))\/(t**(-3)\/t)*t**0*t\/(t\/(t\/(t\/t**(-1\/5))))*t\/t**(-1\/3)*t\/t**(-2\/11)*((t\/t**(-5))\/t)\/(t**(-5\/2)\/t) assuming t is positive.\nAnswer: t**(3239\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -2. Suppose -21 = -0*z + 4*z - 3*h, 5*h - 18 = z. Let c be (-10)\/12 + z\/18. What is the smallest value in n, -3\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/113 - -254\/791. Which is the smallest value? (a) w (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-12)\/6*22*-19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10135418*a - 9103481?\nAnswer: -10135418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1060 + 15114?\nAnswer: 16204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010001101 (base 2) in base 14?\nAnswer: -2941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*o = 4, 777 - 774 = -2*t + 5*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91791 - -2?\nAnswer: 91793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**2 + 7*l - 6. Let f(c) = -62*c**2 + 17 + 181*c**2 - 51*c**2 - 26*c - 42*c**2 + 6*c. Calculate 4*f(a) + 11*t(a).\nAnswer: 5*a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14*(-56)\/21)\/(387\/5418)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -2, 0.5, 2\/9, 29, 0.17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*k)*(-3 - k + 3) + (-k + 3*k + k)*(37 - 37 - 33*k))*(2*k**2 - 1 + 0*k**2 - 4*k**2).\nAnswer: 194*k**4 + 97*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/7? (a) 2\/13 (b) 3\/7 (c) 0.5 (d) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 15. Suppose -4 + 26 = 2*j. Let b be r(j). Solve 2*l + 5 = q, 5*l = -3*q - 0*l - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 + -126. What is the second derivative of -92*o**4 + 85*o + 18*o - x*o**4 + 5*o + 26*o**4 wrt o?\nAnswer: -1416*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8090 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1.067\nAnswer: 0.5335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = -r - 2, -5*y = 3*r - 22. Suppose b - 5*b + 5*m = 74, y*b - m + 34 = 0. Let w be ((-6)\/(-30))\/(b\/60). What is the closest to 0 in w, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -151, 3\/5, -3, 6\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 1546 = 1557 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*l - 8*x + 3*x, 2*x = -5*l + 31. Let p be (l + 0)*(-198)\/(-30). Suppose -w + 16 = k, 2*w - p = -0*w - 3*k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = 29*u. Suppose 6*r + 8 - 50 = u. Suppose 5 = -r*x - 2. Sort x, 1, 2 in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222.27 times -115\nAnswer: 25561.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56 + (12 - -17) + -15. Solve -t = -44*z + 194 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929046302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*c + 195*c + 23406 = -c for c.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/3, 5, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10, k = 4*k - 2*n - 2. Let y be (-72)\/27*(1 - (-380)\/(-8)). Suppose 3*t = k*r + y, -2*t + 3*r = -0*r - 81. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1365 - -1367. What is p in 5\/3*p**w + 0*p - 1\/3*p**4 - 4\/3 + 0*p**3 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.43 (c) -5 (d) 789\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + s**2 + 0*s**2 + 3*s - 3*s - 6*s**2 + 3*s - 3*s + 5*s**2 + (-2*s - 2*s + 3*s)*(s - 4*s - 7*s) to a + j*s + y*s**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8801 less than -325641\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3973 - -75494\/19. Suppose -2*h = -4*h. Is q at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(21\/3 + 1). Let y(r) = r**2 - 7*r - 7. Let g be y(k). Find the common denominator of 89\/8 and (-219)\/(-21) - (g - -2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 358914 and -146.3.\nAnswer: 358767.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/123 and 29\/(-27) - -1 - (-280)\/4752?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4128768, 8257537, 12386306, 16515075, 20643844?\nAnswer: 24772613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 80 = -2*w, 2*x = 3*w - 3*x - 120. Let g = 42 - w. What is the second derivative of -3*p**g - 8*p**4 - 36*p + 5*p**2 - 2*p**2 wrt p?\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62423 + -6367097\/102. Let j = 5\/34 - q. What is the nearest to 1\/4 in j, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5)\/f)\/f*f**6)**28*(f**1\/(f\/f**4))**(-37) assuming f is positive.\nAnswer: f**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-156))\/((-1*2\/(-45))\/(228\/380)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - 5. Let n = b - -41\/2. Let m = 0 - -0.3. What is the closest to 1 in n, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14460*p**2 + 15231.\nAnswer: -28920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((6\/(-30))\/(2\/(-10))). Let r(f) = 47*f + 3*f**y - 44*f + 5 - 11*f**3 - 2*f**2. List the prime factors of r(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2402*o**3 - 2465*o**3 - 1991*o**3 - 184*o**3 - 139*o**3.\nAnswer: -7181*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -5*r, 4 = l - 3*r + 7. Suppose z = -l*z + 16. Suppose -5*n + z = 5*j - 21, 4*n = -j - 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -92979, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x + 62*x - 225*x.\nAnswer: -135*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1768 bigger than -1801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 1140031733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23111 (base 5) in base 12?\nAnswer: -b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {l: 8, d: 3, j: 3, e: 3, f: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 19?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 638 - 421. Is 31 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-7.2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let y be 6130\/45 + 1 - (-4)\/(-18). Let c(j) = 2 - 86*j**2 - y*j**2 - 2 - 49*j**2. Determine c(p(o)).\nAnswer: -1088*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*z = 355*z - 179*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 5. Let z(p) = 3*p + 4. Let l(x) = 4*d(x) + 5*z(x). Let a(u) be the third derivative of 1\/24*u**4 + 0*u + 0*u**3 + 2*u**2 + 0. What is a(l(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 10*b**2 - 3*b - 5. Let z be l(-10). Let u be -2 + (-5)\/(z\/(-15)). Let m = -9 - -11. Solve -u - 1 = m*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and 6.399?\nAnswer: 16.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 118?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxxxxxxkkxxxxkxxk. Give prob of sequence xk.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144117656.\nAnswer: 2, 18014707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 88 = l. Suppose 2*a = -4*d + 2, 5*d + 8 = 3*a - 6. Suppose -a*m = -8*m + 55. Calculate the highest common factor of m and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181493219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 766 = 18902. Suppose -6*q + q + f = -4*u, 0 = 5*q + 2*u - 3266. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -919 (base 10) to base 14.\nAnswer: -499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 8*m**2 + 2*m**2 - 5*m + 9*m - 7*m. Let d(a) = 23*a**2 - 8*a. Determine -3*d(q) + 8*y(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 5}. What is prob of sequence nt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1509.\nAnswer: 301.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 1972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1308 - -2527. Calculate the remainder when k is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150220 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/67 - 88\/469. Let h = -3 - -7. Which is the biggest value? (a) h (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32829 is divided by 597.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + 26?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/77 - -26\/77. Let w = -29.96 - -30. What is the closest to t in -4, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 34*y**2 + 12. Let s be h(34). Solve s*n + 20 = 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(117)*-3)**2 + 4.\nAnswer: -54*sqrt(13) + 1066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30832 and 18?\nAnswer: 277488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64422 and 96633?\nAnswer: 193266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**4 + 8*m**3 + 205 wrt m.\nAnswer: -4*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*h - 32 - 18, 0 = 4*h + 8. Suppose -8 = 2*i - 0. Let y be (4\/s)\/(i\/(-6)). Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1258)\/(-703)*19 + -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*p**2 - 60*p**2 - 62*p**2 - 48*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 7. Let c(w) = -14*w + 25. Give c(z) + 2*m(z).\nAnswer: -6*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((2\/(-496))\/(4 - 5)). Suppose 0 = 3*x + 3*u - 5*u - 762, u - 249 = -x. Differentiate -14 - 511*p + w*p + x*p wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73651109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = f + 5*h, -20*f = -22*f - h + 476. Let p = -33 + 63. Calculate the greatest common factor of p and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (13 - (9 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - r = 41 - 34, -3*r + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let m(c) = c**2 - 2*c - 2. Let w be m(3). Let v(f) = 2*f**3 + 15*f**2 + 6*f + 3. Let x(u) = w*v(u) - 3*q(u). What are the prime factors of x(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1071, 946, 783, 600, 415, 246, 111, 28?\n\"Answer: 3*z**3 - 37*z**2 - 35*z + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f**3 - 22*f**3 + 61*f**3 + (-349 + 944 + 1024)*(0*f + 0*f + f**3) as h*f + o*f**2 + c*f**3 + b and give c.\nAnswer: 1635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 56a?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((-15)\/21272)*1\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - u + 1)*(-u**2 - 2*u**2 + u**2)*(0 + 0 - u).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-576)\/32*(2 + (-129)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -40 + 128 - 9 + 7*k - 32 - 9. Let c(f) = 8*f + 39. What is 5*c(o) - 6*d(o)?\nAnswer: -2*o - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -18 + 32 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -34\/3*r**2 + 0*r**3 + 32\/3 + 2\/3*r**4 + 0*r = 0. What is r?\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 63*x + 2. What is the units digit of b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -553*j + 49*j - 1740*j - 380*j to the form g*j + a and give g.\nAnswer: -2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(275) + -3 - (((sqrt(99))**2 - sqrt(11))*-6 - (4 + sqrt(44))).\nAnswer: -9*sqrt(11) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4185 less than -432.93?\nAnswer: -432.5115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 825 divide 1492203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -1\/18*r**3 - 1\/60*r**5 + 0 + 0*r**2 + 3*r - 1\/18*r**4. Solve j(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ieieiiiiiii?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131132 + 34?\nAnswer: 131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*c + 21, -2*c + 227*u = 223*u + 18 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4364934.\nAnswer: 13094802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*p = -4*p + 6, -4*l + 12 = 2*p. Let j be -1 - ((-7)\/1 + 1). Let k be (-6 - -4) + l + j. Solve 7 = 5*y + 4*g - 22, -g + k = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3923593175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -22*g + 126. Suppose 12*c - 40 = g*c. Suppose -c*w - 7 = 9. Let b(p) = -3*p**2 + 4*p. Let u(o) = -o**2 + o + 1. What is w*u(y) + b(y)?\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = k - g + 11, 5*g = 5*k + 35. Let n be (-15)\/135 + 8\/k. Is -1\/73 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - o + 0*o - 5*o. Let r(z) be the second derivative of -z**4\/12 + z. Calculate r(c(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f*g*r**3 - 12*f*g*r - f*r**3 - 2*r**3 - 8 with respect to g.\nAnswer: -7*f*r**3 - 12*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 224, 270, 356, 494, 696, 974?\nAnswer: 1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 13*n**2 - 12*n - 24. Let l be g(14). Let z be l*(-2 + (-9)\/(-3)). Suppose z*o = 692 + 168. List the prime factors of o.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**2. Suppose 0 = 15*o - 25*o. Let g(s) be the third derivative of -6*s**2 + 0*s**3 + 0*s + 0*s**4 + o + 1\/30*s**5. Determine h(g(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*o**2*v**3 + 10*o**2*v**2 - 3*v**3 wrt o?\nAnswer: 18*o*v**3 + 20*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 t when four letters picked without replacement from {i: 5, t: 8, a: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6190 + 6195. Solve m*j - 5*k - 12 + 7 = 0, 2*j + k = -10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 4:39 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2022011122 (base 3) to base 10\nAnswer: 45323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -977982345 from 0.04.\nAnswer: 977982345.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 2*d + 0*d**3 + d**3 + 7 - 4 to the form r*d**3 + s*d + c + g*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 20 - 24. Suppose 8 = 7*p - 6. Let y(q) = -6*q + 10*q + q + q**p + 1 + 0*q. Determine y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971045.8t in milligrams?\nAnswer: 971045800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 4*p + 8. Let y(a) = -3*a - 9. Let i(g) = 6*j(g) + 5*y(g). Let i(z) = 0. What is z?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4\/5 + 359*n**3\/5 + 618*n**2\/5 + 35*n - 88\/5 = 0.\nAnswer: -88, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 9*v - 19*v + 13 + 4*v as a*v + n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -367\/88851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - -18. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/840 - 71*z**6\/120 + 3313*z**5\/40 + 10153*z**4\/24 + 20449*z**3\/24 + 2*z**2 - 254. Let r(p) = 0. What is p?\nAnswer: -1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 23. Let p = -47 - -85. Let n = m - p. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9653 + 20885. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -31 + (30 - 18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -6. Let f = v + -7. Suppose 2*a + 2*a = 16. Solve 0 = -2*m + 2, -8 = a*z - 3*z - f*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**3 - 50*o**3 + 19*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 10 (b) 5 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13941\/28 + 3524\/7. Let v = 229\/252 + q. Find the common denominator of 20\/3 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 2, w: 4}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 2*i - 3*i)*(-3*i + 29*i**3 + 26*i**3 - i**2 - 56*i**3) to the form o*i**3 + c*i**2 + m + q*i**4 + y*i and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (-48 - 5) - (5 + 4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*5010253\nAnswer: -20041012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/20 and -119\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, 2\/5, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 15*i + 13. Let j(c) = c**2 - 7*c - 7. Let f(h) = 5*j(h) + 2*q(h). Let g(b) = -4*b**2 + 8*b + 13. Calculate 7*f(z) + 5*g(z).\nAnswer: z**2 + 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -26*d**3 - d - 1. Let c be p(-1). Suppose m = 3*m + 6, 49 = 4*j + m. What is the highest common factor of j and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 j when four letters picked without replacement from jqqqqqqqqqqjq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.224974 rounded to 1 decimal place?\nAnswer: -105.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3327 + 4519. What is the remainder when c is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3357.5 + -3381.993. Round j to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f**5\/5 - 40*f**4 + 784*f**3\/5 + 2004*f**2\/5 - 5922*f\/5 - 1836\/5 = 0. What is f?\nAnswer: -17, -3, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**3)**43\/((r*r**8)\/(r\/r**(-3\/8)*r)) assuming r is positive.\nAnswer: r**(-397\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -36. Let t = b - -17. Calculate the common denominator of t\/80*70\/4 and 75\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptf when three letters picked without replacement from {s: 1, p: 2, t: 2, e: 2, b: 2, f: 10}.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + 122 + -126 - -18.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -3*u**2 + 2*u - 226. What is g(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(52)*-4)**2*-6.\nAnswer: -20568 + 1920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0.07363.\nAnswer: 3.92637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + c**4 - 4*c**4 + (c**3 + 2*c**3 - 2*c**3)*(-7*c + 2*c - 4*c + (-5 + 3 + 4)*(0*c - 4*c - 2*c) + c + 3*c - 2*c - 1 + 7*c + 1).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f. Let w(o) be the second derivative of -o**4\/4 - 5*o**3\/6 - 3*o**2\/2 - 34*o. Calculate -4*v(p) + w(p).\nAnswer: p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 3 (c) -23 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*s + 156, -79 = -5*b + 4*s + 118. Solve -b*n + 62*n + 126 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 26988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-9 + 23 + -8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*k = 2276 + 496. Calculate the remainder when 539 is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -17.44 (b) -0.4 (c) -1\/3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473234 (base 12) in base 13?\nAnswer: 1622b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 4*g + 2. Let n(k) = -2*k**2 + 3*k + 2. Let l be n(-1). Let s be f(l). What is the highest common divisor of 55 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/3, -7\/6, -2 in decreasing order.\nAnswer: 2\/3, 2\/13, -7\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 367842*n\/5 + 5151748.\nAnswer: -2*(n - 70)*(n + 183991)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*f = 0, 9*i - 3*f = 7*i + 4*f. Is 2\/1101 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/9 - 9\/(-165). Let k = r - 5\/11. What is the closest to k in 2\/21, 0.1, -5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2347*p + 2335*p - 4691*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187*i**5 - i**4 - 95*i**2 wrt i?\nAnswer: 11220*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*d = 5 + 16, 3*g - 5*d = 0. Let p be (-4)\/(-5)*g\/(-2). Solve -p*i + i = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3648)*1)\/(sqrt(36)\/(sqrt(60)\/sqrt(5))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 115.5. What is the second smallest value in 44, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 415*l + 51.\nAnswer: 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38011 = -z - 3*z + 3*g, 4*z = 4*g + 38016. Suppose -3*b - z - 11390 = 0. Is (1 + (3 - 3))\/((-3)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 - 5*g**2 - 2. Let a(u) = -19*u**3 + 24*u**2 + 11. Let d(n) = -2*a(n) - 11*q(n). Find the third derivative of d(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13003091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 times -170548?\nAnswer: -11767.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + 10 + -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -482.\nAnswer: -482, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 160*k**2 + k + 2. Calculate w(-1).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*sqrt(832)*4*2.\nAnswer: -768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, n: 9}. What is prob of picking 2 n and 1 m?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(3 + (-372)\/123). Let r = -300 - w. Let m = -493 + r. Round m to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + b - 3 - 3 - b + 3 - 3*b - 2*b + 3*b + (2 + 1 - 4)*(-1 + 2*b + 1) + 1 + 2*b - 1 - 2*b + 2*b + b + b + 0*b + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/2*(-74)\/(-407).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 5320.\nAnswer: -3\/5320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110383 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -28.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3142618.\nAnswer: 2, 1571309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/12)\/(71\/(-142))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 1 + (123 - 119). Solve 0 = -o + 3, t = s - 5*s + 4*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 55, 62, 73, 88, 107, 130?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/12 - u**3\/3 + 7*u**2\/2 + u. Let k be n(2). Suppose -k*a + 6*a + 34 = 0. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/5 - 688*g\/5 - 2432 = 0. What is g?\nAnswer: -152, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c - 57 = -80*c. Let f(h) = 4 - h**2 - h**3 + 3*h + 0*h**2 + 4*h**2 - h**2. Give f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9723241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r + r - r + 5*r - 2*r - r + (-r - 3 + 3)*(1 + 1 - 3) - 3*r + 0*r + 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/140 and -67\/126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, 245080 in increasing order.\nAnswer: -21, 2, 245080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*j - 5*v + 11, -25 = -4*j + 3*v. Suppose -4*r + 4 + j = 0. Let b be (3 - 5)*(-3)\/r. Solve 0 = b*g - 6 - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*f)*(-f + 0*f + 3*f)*(13*f**3 + 3*f**2 - 3*f**2).\nAnswer: 52*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 124484111 = -25690911. Round v to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v - 12. Let a be y(-2). Solve a*d = -d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 22*o**2 + 638*o - 54. Give d(-17).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(9)*-1)\/(sqrt(3) - (-4*sqrt(24))\/sqrt(8)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705470 is divided by 287.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, i: 2, k: 3, a: 2}. What is prob of picking 1 p, 2 i, and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20258*l - 20222*l + 1044 for l.\nAnswer: -29","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 {z: 1, s: 1, f: 2, m: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 1\/6*q**3 - q**2 - 4*q + 0. Differentiate b(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/((-9145)\/(-775)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -743 (base 13) in base 11?\nAnswer: -a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxfxxxfnxxnxwxppxwn. Give prob of sequence xp.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 80 (b) 1 (c) -4 (d) 2\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i - 3*i + (0*i + i + 0*i)*(1 - 4 + 2))*(-1 - 4 + 6).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*i**3 + 1060*i**2 - 57*i**3 + 3 - 1059*i**2 - 13*i**4 as s*i**3 + c + v*i + d*i**2 + f*i**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2011*r + 1146 + 126 + 668 = -71 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((3237\/26)\/83)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, -22, 0, 3 in descending order.\nAnswer: 3, 0, -5, -14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329 - 106. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)\/sqrt(11))**2 + 4 + -3)*4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 79998 = -0*s - h, 3*s - 59996 = -2*h. Let i be -410*(-11)\/((-55)\/s). Round i to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1178 by -1.\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/6, 2, 3, -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k - 2. Let x be 2*-3 + 0 - -2. Let o be m(x). Suppose 11 = -o*i + 1. Let q(z) = -z**2 - 5*z + 6. Determine q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.1, -0.2, -2\/15, 191 in increasing order.\nAnswer: -0.2, -2\/15, 0.1, 1\/6, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(325) + 0 + 2.\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - (-75 + 115 + -64).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(2\/5))*q)\/q**(-7))\/(q\/(q*q*q*q\/q**(2\/23)*q*q)*q**(-4))*(q\/(q**(1\/3)*q))**(1\/77)\/(q**(-1\/3))**(-14\/9) assuming q is positive.\nAnswer: q**(3823016\/239085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -96851128 divided by 88\nAnswer: -1100581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 329*m - 332*m = 21, -9 = -z + 5*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 14. Let c be a(0). Let o = -10 - c. Suppose -5*w = 5*s - 10, -22*w + 26*w - 3 = -5*s. Solve o*j - w = 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.901217 weeks in microseconds?\nAnswer: 5383456041600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.172 and 334775?\nAnswer: 57581.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, -2389 - 4070 = -5*p - 4*i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -683*z**3 - 2*z**2 + 707*z**3 + 701*z**3 + 844*z**3 + 3 to the form m*z**2 + a*z + k*z**3 + c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 8919520\nAnswer: 44597600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 0.339.\nAnswer: -41.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389586 by 87.\nAnswer: 4478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 34001?\nAnswer: 34005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/4)\/(1\/(-2712)*6) is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(245)) - (-2 + sqrt(63)\/(sqrt(9)*4))**2.\nAnswer: -71\/16 + 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 5. Let u(w) = -w**2 - 6*w + 4. Let x be u(-6). Let b = j + x. Calculate the remainder when 29 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*z + 5 - 1480*z**2 + 1465*z**2 - 2 in the form n*z + f*z**2 + a and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 86 = 14. Suppose -390 = 3*j - 16*j. What is the greatest common factor of j and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767676 is divided by 3439.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*g**5 - 687*g**4 - 318*g**3 + 120*g**2 = 0.\nAnswer: -2, -1, 0, 20\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 + 5*2\/5 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-18))\/((20\/28)\/(6435\/(-286)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 861579527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = 2*c, -c + 0*c = u. Suppose 12 - 11 = n. Does 6 divide 20\/((u - n)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**2 - q - 14*q**3 - 3 - 6*q**3 - 5 - 4.\nAnswer: -20*q**3 - 69*q**2 - q - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4822473.4 to the nearest 1000.\nAnswer: 4822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-623)\/(-6))\/7 - 2 and -54\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*p + 6659 = 2015*p - 511*p + 25073 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*y = y + 394, 0 = -3*y + 15. Suppose -5*s = 2*j + 72 - r, 0 = -2*j - 3*s + 317. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 154?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 3*(-4)\/(-6). Let f = -612 - -604. Suppose -7*j = 20 + 15. Put j, f, i in descending order.\nAnswer: i, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 + 9*c - 32. Calculate the remainder when f(4) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 123\/6*(-3 - (-28)\/(-4)). Let d = f - -480. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - a**4 + 2*a - 13*a**4 + 14 + 2 wrt a?\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344\/(-378)*(-259)\/28 + 8\/(-9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 + 4*c + 22*c**3 + 11*c**2 - 20*c**3 - 4*c**3 + 7*c**2 + c**3 in the form f*c**2 + w + z*c + g*c**4 + k*c**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02372086 * -24.\nAnswer: 0.56930064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g**4 + 0*g - 3\/5*g**5 - 2 - 2\/3*g**3 + 0*g**2. What is the third derivative of n(m) wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -33794?\nAnswer: -33790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20755529124 + -0.4?\nAnswer: 20755529123.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10797 and -0.4.\nAnswer: 4318.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, u: 14}. What is prob of sequence hhh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 180*q - 180*q + 0*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1621954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let p(v) be the second derivative of 19*v**3 + 34*v + 3. Give q(p(b)).\nAnswer: 25992*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3\/50, -3 in increasing order.\nAnswer: -3, -3\/50, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*w - 2*o, 3*w + 5 = 2*w - 2*o. Suppose -c = -4*c - 4*q + 16, 0 = 3*c - 4*q - 56. Let z = c - w. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222695 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(200) + 1 + sqrt(200))**2 - ((sqrt(200) + 0 + sqrt(200))**2 + 5))*2.\nAnswer: -480*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 8*q**2 - 8*q + 56. Calculate i(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 499. Let w = -122 + b. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -131*o - 1851. What is u(-13)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -321393 or -321394?\nAnswer: -321393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 345. Let o be q(0). Suppose 37*x - 32*x = o. Let y = x - 67. Solve y*i = -0*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27700*m**3 - m**2 - 306234 wrt m?\nAnswer: 83100*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -21, 4, 81, 228, 463, 804, 1269?\n\"Answer: 3*r**3 - r**2 - 27*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - l**2 + 6*l + 19. Calculate z(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-2\/37)\/((v\/v**(5\/2)*v)\/(v*v*v*(v**(-8)*v)\/v)) assuming v is positive.\nAnswer: v**(-341\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.02 (c) 0.11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 7*c + 8. Let n(m) = m**2 + m - 2. Let x(j) = h(j) + 3*n(j). Determine x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 - -244. Let g be 2 - 2 - (-1 + -1). Suppose g*r - 10 = 0, -v*w - r + 30 = 5. What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400 and 2240.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 + 121 - 44)*(-6*x + 22 + 11*x - 7*x) to n*x + k and give k.\nAnswer: 3124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 22*p**3 - 63138*p**2 - 6877990*p - 624750 = 0.\nAnswer: -105, -1\/11, 2975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*u - 5480, 0 = -2*a + 52 - 44. What is the remainder when u is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -70*c - 5. Let g be f(-3). Let u = g - 134. Suppose -3*o = -4*r - 166, o = -r - 11 + u. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 - 9308*p**2 - 869032*p - 20085072 = 0 for p.\nAnswer: -46, 4746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335558?\nAnswer: 2, 167779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 19 + 17 = 0. Suppose -t + 6 = -m - 3, -2*t = 4*m + u. Let y = 66 + m. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -26.7. Let w = 0.3 - q. Let o = w - 2. Which is the closest to o? (a) -0.5 (b) 2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let g(z) = -z - 1. Let d(t) = -4*g(t) + 4*s(t). Let i(y) = -2460 + 14*y**2 + 615 + 616 + 612 + 617. Calculate d(i(m)).\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-400)\/(-3) + (-4)\/(-6). Suppose 0 = -14*q + 34 + 36. Suppose -39 + l = q*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25120 (base 8) to base 12.\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e119 - 0?\nAnswer: e119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56104 is divided by 177.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299701, -599368, -899049, -1198750, -1498477, -1798236, -2098033, -2397874?\nAnswer: -2697765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (-2 - (-32 + -1)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256, -634, -2666, -5840?\nAnswer: -10156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a**2 + 34*a - 64*a + 16*a + 14*a.\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6587719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119127.\nAnswer: 3, 39709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 86*r - 87. Determine d(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 37. Suppose -9*s + 7*s + 6 = b. Suppose -5*x + s*f - 9 + 112 = 0, -4*f = 5*x - 131. Which is greater: 22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from cocisho.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2. Let d(z) = 5860*z**2. Give d(u(m)).\nAnswer: 146500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - 42*c**2 + 2*c - 27. Let g be a(14). Which is smaller: 4\/47 or g?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7713477531 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 - 197*p**2 - 136*p**2.\nAnswer: -347*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - (0 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*1*(2 + 35\/(-21)). Solve -2*r = -5*k + 25, -5*r + 1 = -b*k + 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*j, -2*j = -7*j - 25. Let x = -1925 - -1928. Solve r - 3 = -x*r + c*w, -r - 3*w = 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n - 8 = 0. Let o be (n\/3)\/((-3)\/(-684)). Differentiate w - 12*w**2 - w - 144 + o with respect to w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)\/i)\/(i*i**(-2\/15)))**22*((i\/(i*i**(-2\/7)*i))\/(i*(i*i**(-4))\/i))\/(i\/(i*i\/(i\/(i*i**(-1\/3))))*i*i**2) assuming i is positive.\nAnswer: i**(-5857\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 76. Let u(x) = 2*x. What is u(c(z))?\nAnswer: 10*z - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 70*c - 109. Let r be w(14). Let v = r + -550. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**3 - 14 - 21 + 32 + 2.\nAnswer: 31*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-158)\/(-237))\/(4\/294). Let c = -3\/28 - 29\/252. What is the biggest value in c, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 24. What is the remainder when 22 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(180) + 5 + sqrt(180) + sqrt(180)*-2*4) - 2*(-3 + (sqrt(180) + 2*sqrt(180)*5)**2).\nAnswer: -43542 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p**2 + 12 - 12)*(-6*p - 26*p + 7*p) in the form t + i*p**2 + m*p**3 + a*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4))**49)**(-7\/3) assuming s is positive.\nAnswer: s**(-343\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 351342317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*v - 100*v + 2*t - 6, 0 = -4*v + 2*t - 22. Let a(d) = 2*d**2 + 20*d + 20. Calculate a(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2869911, -2869910, -2869909?\n\"Answer: s - 2869912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let r be 3*1\/3 - -21. Suppose 3*g - 4*m - r = m, g + 5*m + 6 = j. Solve 0 = -5*h + 10, -3*s + 0*h + 23 = g*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3486\/13 - 268. Let r = -0.31 - -3.31. Put 0, u, 0.4, r in descending order.\nAnswer: r, 0.4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -1a4?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48354489171163175.9999709 - 48354491119368359. Let u = 1948205072 + t. Let w = u - -111. Round w to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 51*j**2 - 21*j - 21. Let s(l) be the second derivative of 5*l**4\/12 - l**3\/3 - l**2 + 261*l. Determine 2*b(p) - 21*s(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/3 - (-1 + 2). Suppose -4*g + 2*m + 14 = m, -3*g - 4*m + 1 = w. Calculate the least common multiple of g and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let l(q) = q + 6. Let z be l(-6). Let c be z\/1*1\/2. Let y(n) = -2*n + c + 2 - 2. What is y(o(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*j - 5 - j)*(-6731 - 5652 + 2553)*(-2 + 2 + j).\nAnswer: -19660*j**2 + 9830*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/17*((-3)\/2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2051.959 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 0 + 0*x**4 + 1\/35*x**5 - 1\/147*x**7 - 1\/105*x**6 + 0*x**3 - 6*x + 0*x**2. Factor l(y).\nAnswer: -2*y**3*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 658.3 and -154.33?\nAnswer: 812.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3\/7945 (c) -4 (d) 0.6 (e) -8 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - r + 39. Suppose -3*n - 3*j + 22 = j, -4*n = 4*j - 24. What is the remainder when o(0) is divided by 40\/n - (-2 - 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 276\/(-207)*6\/(-4). Let p(j) = -6*j + 10. Give p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38998241*i**3 - 77456034 wrt i.\nAnswer: 116994723*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 - 3*a + 5. Let n be k(4). Suppose -2*g = 3*g - n. What is the remainder when 14 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67, 114, 159, 202, 243?\n\"Answer: -a**2 + 50*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:00 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/217 and 48\/7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 371 = -384 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 b when four letters picked without replacement from {b: 2, j: 2, r: 4, s: 11}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - 4*f - 2. Give l(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -53. Let r = 73 - 43. Let s = l + r. Which is the biggest value? (a) s (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224383943*o**4*q - 5*o**2*q + 9783660 wrt o.\nAnswer: 5385214632*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*5\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4986.28 to the nearest ten.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 234.9.\nAnswer: -4932.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4181*l = -4167*l - 2464. Is 179 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/29 + 989\/464. Let f be (-58)\/5 - 8\/20. Calculate the common denominator of y and 15\/f*(-87)\/(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9860 and 510?\nAnswer: 29580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18057032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 298*y + 15791. What is h(-53)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*j - 454 - 254, 3*j - 1052 = 5*a. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54596.\nAnswer: 2, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25806?\nAnswer: 2, 3, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let d(q) be the second derivative of -5*q**3\/3 + 4*q**2 - 8*q. Let b(f) = 1. Let v(h) = 8*b(h) - d(h). Give k(v(t)).\nAnswer: 200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-10) + -10 + 5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 622524 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 11532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1160 = -2*p, -3*k - 3*p = k - 905. Suppose 9*z - 958 = k. Calculate the remainder when z is divided by 70.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349332 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0488 + 0.3512. What is the closest to -1 in q, 0.1, 4, 1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**3 + 4*k**2 + 3*k. Let w(q) = -q**2 - q. Let f(r) = o(r) + 3*w(r). What are the prime factors of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-300729)\/2804)\/(39\/(-12))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l - 7*l - 672 = 0. What is the remainder when 539 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469764 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 998502 to the power of 1\/2, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 344, 489, 638, 791?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -4, -2, 0, 2, 4?\n\"Answer: 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a. Let l(n) = 79*n. What is l(x(i))?\nAnswer: -237*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 0.06, 3 in decreasing order.\nAnswer: 107, 3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5565 - 5560. Solve -4*l - 18 = -i*n, 3*n + 2 = 16*l - 20*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4992 and 66768?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 0.21, -65, 0.3, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2 + 3*r**2 + 2. Let c = 127 + -127. Let p(o) = 3127*o - 3124*o + c + 0. Calculate x(p(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1564 by -3.\nAnswer: -1564\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-63))\/(124\/(-13020)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 10, 459*c - 463*c = 3*p + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k**3 - 7*k**2 + 3*k + 9. Let m = 44 + -37. Let n(i) = -3*i**3 - 2*i**2 + i + 3. Determine m*n(r) - 2*p(r).\nAnswer: -r**3 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 847 - 770. Calculate the remainder when 230 is divided by z.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8977.39 - -8922. What is k rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y - 1890 = 44*y. Is 45 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -7. Let f(w) = -14*w**2 + 16*w + 16. Let j(c) = -5*c**2 + 5*c + 5. Let o(d) = 4*f(d) - 11*j(d). Calculate the remainder when h is divided by o(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-15) - 3\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 108. Let k be (-7)\/7 + (-1 - 0). What is the closest to g in 3\/4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 - 12*s - 10*s - s - 8*s + 5*s - 258.\nAnswer: -26*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o - 15. Let q(m) = 2*m**2 + 1. What is the remainder when 37 is divided by q(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = -2*u + 28, 2*u + 5*h - 43 = 0. Sort u, -5, -3 in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 2066026?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -703214206 divided by 7093?\nAnswer: -99142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -126*p - 48. Let v be k(8). Let g = v - -5282\/5. Put -5, g, -17, -6 in ascending order.\nAnswer: -17, -6, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 - 159*k**3\/5 + 7896*k**2\/5 - 90944*k\/5 - 1580544\/5.\nAnswer: (k - 56)**3*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -48*d + 53*d + 35, 0 = -d - 4*n - 43 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -136.8. Let i(c) = -c**3 + 10*c**2 - c - 42. Let o be i(9). Let q be o\/45 + (124\/(-42) - -2). Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:39 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a081047 + -2?\nAnswer: -1a081049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91069312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524*o**2 + 259*o**2 + 266*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 4 + 3. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736 is divided by 1909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/(-76)*(-12)\/10)\/(3\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 5\/202, -5, -1, 3, -0.2, -21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 1. Let x be m(5). Suppose c = 3*c - 6. Suppose -z + 12 = c*q, 0 = 3*z + q + 4*q - 24. Sort x, z, 5 in decreasing order.\nAnswer: 5, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 4 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6755 and 518784?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217 + (4\/8)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69776 divided by 5\nAnswer: -69776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + 18\/14. Let b be 0*d\/4 + 1. Let u be 12\/28 + (-9)\/21. Solve -o + b = -u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**49*(q**(-2))**(-1\/19))**41 assuming q is positive.\nAnswer: q**(-38089\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14.2, 1\/7, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 5, 1, -232?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -4*c. Solve 0 = -5*r - c*n - 16, 5*n - 2 = 5*r + n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 88. Which is bigger: 4\/75 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**2 + 11. Let h be (-176)\/20 + (-4)\/20. Let y(m) be the third derivative of -m**5\/12 + 5*m**3\/6 + 6*m**2. Give h*y(s) + 4*d(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c. Suppose -15*w + 13*w - 2 = 0. Let f(u) = 7*u**2 + 7*u + 6. Give w*f(i) - 6*t(i).\nAnswer: -i**2 - i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 977 = -5*v + 962, -4*y = 2*v - 3870. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-2*t**5 + 0*t**5 - 3*t**5 - 2).\nAnswer: 10*t**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(7\/8 - (-16)\/(-128)). Solve w + i*v = 6*v + 7, 3*v = -12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (13 - (0 - 4)) - -7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/130 - c**4\/78 - 49*c**3\/39 + 49*c**2\/13 - 1872*c. Factor j(s).\nAnswer: 2*(s - 7)*(s - 1)*(s + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-17)\/((-408)\/(-5084)) + (-10)\/6. Which is the smallest value? (a) w (b) 2\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000023364516 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/12)\/((-14)\/112). Which is bigger: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13\/(v\/(v*v**(-23))) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -43*d - 7000. What is s(-165)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.604732s?\nAnswer: 604.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/19 in -48121, 2\/13, 1.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.0964 and -1284?\nAnswer: 14247.7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/7 - 598*x**3\/7 + 33240*x**2\/7 - 125848*x\/7 + 123488\/7 = 0. Calculate x.\nAnswer: 2, 68, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, 1 x, and 1 f when four letters picked without replacement from faxdxdddxxdfxdap.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x. Let y(f) = 10*f + 1. Let u(s) = 2*q(s) + y(s). Calculate u(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**4\/6 + 11*q**3\/6 - 8*q**2. What are the prime factors of k(7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15903.405 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 2*r + 2. Let g be k(-3). Let f be ((-1)\/2)\/(g\/(-84)). Solve 3*b + 0*p = -3*p, -f*p + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 30 = 34. Suppose -z*w + 16 = -w + 4*u, -5*w - u + 38 = 0. What are the prime factors of 0 + 0 + 472\/w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 1. Calculate h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 2 in descending order.\nAnswer: 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/346 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 451772 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4542 divided by -55538.\nAnswer: -2271\/27769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -5. Let y = q + 0. Calculate the highest common factor of 8 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -0.12, 9, -8, 8?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1245769 by -22.\nAnswer: 1245769\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1692, 1, 628 in decreasing order.\nAnswer: 628, 1, -1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17347 times 0.295\nAnswer: -5117.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1969*u - 24 - 1959*u + 9*u**2 + u**3 - 3*u**3 + 3*u**3. Let k be t(-7). Which is the third biggest value? (a) k (b) 2\/5 (c) -3\/2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1809990 and 6930.\nAnswer: 19909890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63\/14*(-2)\/3. Let p be 2\/14 - 3 - h. Which is the biggest value? (a) p (b) 4\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 43*y**2 + 91*y - 43. Let h be p(45). Suppose 0 = -4*c + c + 36. Let a be 90\/(-4)*(-1)\/c. Which is greater: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i**3 - 66*i**3 + 16*i + 43*i**3)*(3 - 1 - 3).\nAnswer: -9*i**3 - 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6556.65 to the nearest ten.\nAnswer: -6560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2520.72 + -0.2.\nAnswer: -2520.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*2285\/(-1828)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 7*c**3 - 40*c**2 + 10*c**2 - 7*c + 27*c**2 + 7*c.\nAnswer: 7*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 95*u**9\/84 - 67*u**5\/60 + 260*u**2. What is the third derivative of l(z) wrt z?\nAnswer: 68400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -62 + 566. Suppose j + 0 + b = 0. Which is smaller: -85 or j?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 4*x - 12, -3*f + 6 = -3*x. Let t(i) = -4*i + 6. Let d(r) = -3*r + 5. Let p(o) = f*t(o) - 5*d(o). Is p(-13) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2134 = 3*v - c, 3*v - 1610 = -4*c. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43183 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -85*z**3 + 22*z**2 + 45*z + 7. Is l(-2) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10279, 18942, 26021, 31522, 35451, 37814?\n\"Answer: p**3 - 798*p**2 + 11050*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -81, 2, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 8, 2*g + 0*g = 4*p. Let o = p - -8. Suppose 0 = -3*a + o + 33. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6880 to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-6)*156\/(-104). Let s(z) = z - 26. Calculate s(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21589, 22377, 23165, 23953, 24741?\n\"Answer: 788*t + 20801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/16*(-2)\/5. Which is the closest to -0.1? (a) -4 (b) k (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3. Suppose 3*y = -4*t + 127, 3*y = -9*t + 4*t + 122. Let z(i) = 1 - 27*i + y*i - 21*i - 2*i**3. Let c be (-9)\/6*12\/9. What is c*z(k) + 5*q(k)?\nAnswer: -k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4294 = -236*o - 452*o + 41446 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/18 - 8\/36. Suppose 3*r = -4*o + 2, -2*r - o + 5 = -2*o. Let y(d) = d**3 + 0*d**3 + d - d + 2*d**r + 1 + d. Calculate y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004455 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 800847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/12 - d**3\/3 - 3*d**2. Let m(x) = x**3 + 5*x**2 + 2. Let g be m(-5). List the prime factors of b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8308.8 to the nearest one hundred.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55833621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*z + 4 + 15, 3*d - 9 = -3*z. Suppose -d*o = 16 - 84. Let a = 47 - o. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 44*n**3 + 3*n - 473*n**3 - 3.\nAnswer: -429*n**3 - n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 + 145. Which is the third smallest value? (a) -3\/5 (b) -2 (c) -0.25 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c - 3*c + 3*c)*(0 - 2 + 5) - 5*c + 4*c - c as n*c + q and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:54 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + w - 3. Let d = 4 - 6. Let t(h) be the first derivative of h**3 + 2*h + 1. Suppose -18*j - 47*j - 118 - 77 = 0. What is d*o(r) + j*t(r)?\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 1136*q + 5708. What is t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 30*v**3 - 9*v**2 - 3*v - 11. Let c(b) = -15*b**3 + 4*b**2 + b + 5. Let k(z) = 7*c(z) + 3*h(z). Let x be k(1). Is -766*x\/4*(3 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.86.\nAnswer: -7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(144\/36)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1511023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 16 - 50. Let t = w + -14. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2504158 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7798, -16265, -24734, -33205, -41678, -50153, -58630?\n\"Answer: -r**2 - 8464*r + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 3*l + 73*l**4 - 65*l**4 + (-2*l**3 + l**3 - l**3)*(l + 2*l - 5*l) to the form n*l + d + m*l**3 + f*l**2 + j*l**4 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1111 + 1876. Suppose -5*z = -0*z + d. What is z rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 25534550355?\nAnswer: -25534550351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from gsmuszzt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 45 + -137 - -43\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30597*k*o - 4771*k wrt o.\nAnswer: -30597*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(5\/((77\/33)\/7)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 33683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(2) - ((sqrt(72) - 2*sqrt(72)) + sqrt(72)).\nAnswer: -sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 15, -2\/9, -280?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773914*c**2 + 773588*c**2 - 1548086*c**2.\nAnswer: -584*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 4*b**4 - b**3 + 4*b**2 - 5*b**2 - 4*b to k*b + q*b**4 + w + u*b**3 + s*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, 4, 437, -3 in decreasing order.\nAnswer: 437, 202, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:37 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -7\/6 (c) 0.1 (d) 8\/17 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.87377332296 - -1.9.\nAnswer: 6.77377332296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -682098.\nAnswer: -5\/682098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((6\/4)\/3)\/((-3)\/(-540))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/309 at most 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*m + s + 12 = 299*m, 2*m + 19 = 3*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 - 5*y + 6. Let n be g(5). Suppose -16*i + 12*i + 4*b = -76, -3*i + 27 = 3*b. Calculate the highest common divisor of n and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1378\/63, -1, 4, 0.3, -3 in ascending order.\nAnswer: -3, -1, 0.3, 4, 1378\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*x = x - 70, 5*o = x + 70. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 15. Suppose f*b + 398 = 6*b + 2*o, 5*b - o = 487. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 23*d**6 + 3*d**4 + d**3 - 12*d**2 - 73*d. Let w(r) = -r**4 - r**3. Let z(p) = -l(p) - 3*w(p). What is the third derivative of z(q) wrt q?\nAnswer: -2760*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.3. Let a = i - 0.1. Suppose -444*f = -474*f + 30. Are f and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 + 5*l + 10. Let f(x) = -3*x**2 - 2. Let o(s) = -2*f(s) - p(s). Give o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 7. Let y(h) = -5*h + 5. Let r(q) = -4*v(q) - 5*y(q). Let b(u) = -3*u**2. What is r(b(o))?\nAnswer: -51*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1519 and 5\/31?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*z + 2*c, 5 = 2*z - c + 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246 + 245.9763. Let w = d - 0.4233. What is w rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88462 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**(-16)\/((k**(-2\/7)*k)\/k**(2\/21)) assuming k is positive.\nAnswer: k**(-109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2 - 10, 0 = -2*l + 2*p + 26. Let a(x) = -28 + 6*x - 28 - 5*x + 53. Does 2 divide a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-2)*32\/(-20). Let r be (18\/24)\/(3\/w). Let h(k) = 3*k**2 - 2*k. Let f = 6 + -4. Let c(d) = 4*d**2 - 3*d. Give f*c(p) + r*h(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9988082 and 18?\nAnswer: 89892738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 2434308.\nAnswer: 36514620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-510636)\/(-39) + 93\/(-403).\nAnswer: 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6019905.\nAnswer: 3, 5, 23, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 0.1, 1003, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 6*w**2 + 2*w + 2. Let c(i) = i**3 + i**2 + 1. Suppose 12*b - 11*b - 4 = 0. Let o(x) = b*c(x) - f(x). Find y such that o(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.4, -0.1, -2\/11, 32?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 1. Let i(r) = 10*r**2 + 4*r - 1. Calculate i(w) - 6*n(w).\nAnswer: 10*w**2 - 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(252) + 0 + sqrt(252) + 5 - (sqrt(252) + 0 + 4))**2.\nAnswer: 12*sqrt(7) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558307 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7 = -22. Let x(a) = -2*a**2 + 7 - 3*a**2 - 6*a + 6*a**2. Calculate x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3376114399 minus 3942?\nAnswer: -3941.6623885601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21981, -43985, -65989?\n\"Answer: -22004*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.36, 0 in decreasing order.\nAnswer: 0, -0.36, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17524896 divided by -3?\nAnswer: 5841632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 21 = -3*l, -3009*h + 3005*h + 3 = 2*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 + 166558155*j - 9247206332334675\/2.\nAnswer: -3*(j - 55519385)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/20 + (-29)\/4. Let f = 3 - p. Suppose 8*l + 22 = f*l. Calculate the least common multiple of l and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/667 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709 = 4*v - 5*d, -40*v - 3*d = -35*v - 840. What is the tens digit of 6519\/19 + (-18)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {d: 1, c: 1, q: 4, g: 3, x: 4, v: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**5\/120 - 35*s**4\/48 - 8*s**2 - 2. Suppose x(v) = 0. What is v?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:23 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8040*p - 8038*p + 3*x + 17, 8*p = -3*x + 20 - 79 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 2*o + 0*o + (-61 - 20 + 17)*(-4*o + o + 2*o))*(-3 - 2*o**2 + 3 - 2*o**2) in the form c*o + t*o**2 + j + w*o**3 and give w.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 22. Which is the closest to -2? (a) 1 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5376 is divided by 50?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m - 5*m**2 - 1\/120*m**6 + 0 + 7\/24*m**4 + 1\/12*m**5 - 1\/6*m**3. Give j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1 - (-3)\/(-2)). Suppose -l - 3*f + 20 = 7, 20 = -4*f. Suppose -w = -3*w + l. What is the greatest common factor of w and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:55 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(1 + -2 - -2). Let n be 22\/4 + t\/(-6). Let b = 78 + -77.8. Sort n, b, -1\/3.\nAnswer: -1\/3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-63)\/(-490)) + -9 + 16.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5617951 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622, -621, -620, -619, -618, -617?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (68\/6)\/((-1)\/(-27)). Let c = 452 - n. Suppose 0 = 2*y - 3*o - c, -5*y + 2*o + 417 = 41. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 44*o + 7. What is w(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -35. Suppose i*p = -37 + 117. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**21)**(-43)\/(z\/((z**(1\/23)\/z)\/z)*z**(-46)) assuming z is positive.\nAnswer: z**(-20768\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.006 (b) 0.07 (c) -2913 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -17*x. Let d(w) = 2*w**2. Determine d(s(c)).\nAnswer: 578*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-819))\/(20\/(-180))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*b**2*w**2 + 2*b - 3*w**2 + 17*w wrt b.\nAnswer: -218*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - -78. Let h(u) = u**2 - 18*u + 79. Let z be h(5). What is the greatest common factor of g and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x - x, 0 = -3*t - 5*x - 38. What is the hundreds digit of 0 - (-308 - (t + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 16)*(3\/(-1) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -238221 > 0.231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**2))**23*(w*w**(-2))\/(w**(1\/10)\/w) assuming w is positive.\nAnswer: w**(689\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.56 to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 27*a**2 - 4990*a - 3482. Give m(-58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 1\/6, -5, 2, 5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2415 and 7245?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56160520 and 2312.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -361*w**5\/9 - 21955583*w**4\/9 + 92449208*w**3\/9 - 106561576*w**2\/9 + 19463344*w\/9 - 973168\/9 = 0.\nAnswer: -60823, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let i(n) = 2093*n. Determine i(k(q)).\nAnswer: -2093*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 - -163. Solve 0 = -k*u + 3*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15942 + 47825\/3. Let p = -3\/10 - 1\/5. Which is the fourth smallest value? (a) -2\/3 (b) p (c) 0.7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33261.74ml?\nAnswer: 33.26174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) 0 (c) 0.14 (d) 5 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 1806 (c) -3\/4 (d) 0.4 (e) 0.1 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8255 in -4, -8, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -198 in -20, -3, -3\/11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.716009 to 3 dps.\nAnswer: -1.716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 - 99. Suppose 0 = 38*w - 8 - 410. What is the greatest common factor of w and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -163*f**2 + 2*f - 2. Let u be 2\/4*(6 - 2). Let z be a(u). What is z rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.9 + 14.3. Let k(b) = b**3 + 8*b**2 + 6*b - 3. Let t be k(-7). Let j be 2\/3*(-10)\/t. Put r, 0, j in increasing order.\nAnswer: j, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/(-12)*-14*172\/301?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 13*b - 64*b**3 - b**2 - 56*b**3 + 43*b.\nAnswer: -120*b**3 - b**2 + 38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/368 - 9\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0878 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 3:46 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 13. Let f be y(-4). Suppose -6 = -f*m + 39. Calculate the lowest common multiple of 15 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 159 = 51*g. What is the nearest to 1 in -2, -1\/12, g?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - y**3 + 4\/3*y + 4\/3*y**4 - 4\/3*y**2 - 1\/3*y**5 = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 18*j - 18. List the prime factors of a(9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -11\/7392081 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6538?\nAnswer: 2, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 953007.2 millilitres?\nAnswer: 953.0072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 48*q**2 + 4*q - 2. Suppose 4*w + 12 = -c + 5*c, w = 3*c - 11. Does 10 divide s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/20*(-55)\/22\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -74*h. Let z be s(-1). Let g be (-1)\/(z\/(-18) + 4). What is the third derivative of -16*q**2 + 3*q**5 + 0*q**5 + g*q**2 wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let t = -6 + 29\/5. Which is the closest to -3? (a) 1\/6 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 1. Let u(r) = 1762*r**2 - 918*r + 7. Let a(v) = -14*m(v) + 2*u(v). What is the second derivative of a(o) wrt o?\nAnswer: 6964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2966 + 8473. Does 135 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Let w(b) = -4*b + 0*b + k*b + 6 - 4*b. Let a(i) = 3*i - 6. Let j(l) = 5*a(l) + 4*w(l). Calculate j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*i**2 - 9\/2*i - 3.\nAnswer: -3*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 11. What are the prime factors of u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21686932.\nAnswer: 2, 5421733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 96*d**5 + 4*d**3 + 2*d**2 + 5*d. Let i(v) = -97*v**5 - 3*v**3 - 4*v. Let g(q) = 4*b(q) + 5*i(q). What is the third derivative of g(h) wrt h?\nAnswer: -6060*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242029356 a multiple of 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4037*-27.901\nAnswer: 112636.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000391858121 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 494*l + 347*l**2 - 347*l**2)*((-1 + 0 + 0)*(6*l + 3*l - 4*l) - 5*l + 4 - 4 + 2*l - 6*l + 2*l).\nAnswer: -12*l**5 - 5928*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160684.\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 1136.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/437027 and 41\/21635.\nAnswer: 2185135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 h when three letters picked without replacement from {t: 2, h: 4, w: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaya when four letters picked without replacement from {e: 3, a: 2, y: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 21. Let r be f(13). Let b(o) = o**3 - 6*o**2 + 6*o + 6. Let v be b(5). Let i = r + v. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*a + 48 - 16, -4*p + 3*a + 61 = 0. Solve -p*m = -m - 60 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let m(p) = 269381753*p. Calculate m(s(l)).\nAnswer: -538763506*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -3. Suppose -5*u - 1 - 4 = 0. Let w be (-115)\/30 + u\/6. Which is the third biggest value? (a) w (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 320193, 320192, 320191, 320190, 320189?\n\"Answer: -v + 320194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-1*4)\/(-5*1*(sqrt(75) - sqrt(3))).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 209898, 419795, 629692, 839589, 1049486?\n\"Answer: 209897*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d324 - -95?\nAnswer: 2d3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20424.09 and -0.2.\nAnswer: 20423.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 61, 5, 1\/2915, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 144*s. Let x(p) = 286*p - 1. Calculate 3*x(k) - 5*z(k).\nAnswer: 138*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 63450 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -6. Let f = 320 + -315. Suppose -5*v = f*t + 3 + 12, -4*t - x = 5*v. Solve 3 = -n - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 + 2. Let y be o(7). Let u be (-3)\/9*(-30)\/y. Differentiate -4*t**2 + u*t**2 + 2 + 0 + 0*t**2 wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9679*l - 3666 = 4687*l + 4851*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 25\/6)\/((-26)\/(-117))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/7 (b) -7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-168))\/(-10)*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-15)\/(-1))*100\/(-80)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(9\/(-18)). Let p = d + 9. Let z be 1295998\/p + 18\/108. Round z to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*k**2 + 45*k**2 - 5*k + 233 + k + k - 21*k**2 to c*k + z*k**2 + r and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*m - 249 = -207, 0 = 4*h - m + 2. Factor 8\/3 - 2\/3*o - o**h.\nAnswer: -(o + 2)*(3*o - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Let n be (-24)\/(-9) + i\/(-3). Find the first derivative of 2 - 6*z**2 + z**n + 6*z**2 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -396, -604, -814?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13893 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 20*s**5 - 7*s**5 + (2*s + 1 - 1)*(-3*s + 3*s - 2*s**4).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1)\/((-20)\/(-10)*-1). Is b less than 2\/1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:49 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2126520519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8152100 rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/156 and -71\/429.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34954 and 2998.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, 3, -3, -1\/97 in decreasing order.\nAnswer: 3, 0, -1\/97, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/51, 2?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2358, -4719, -7080, -9441, -11802, -14163?\n\"Answer: -2361*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 27 + 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + 4*x**2 + 189*x**3 + x**4 - 189*x**3 - 5 to the form y*x**3 + o*x**4 + g*x + w + f*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*k - 42. Calculate the least common multiple of k and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u**2 - 36 + 0*u - 8\/3*u**3. Let w(q) = -3*q. Let g(n) = 7*n. Let j(m) = -3*g(m) - 6*w(m). What is j(d(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8256 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135408 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1344 - 2*r**3 + 0*r**3 + 1343 + r**2 - r - r**4 as p*r**3 + v*r**4 + g*r**2 + u + w*r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, e: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s*(s*(s*s*s**(1\/10)*s)\/s)\/s*s**1*s\/(s\/(s*s**4)*s) assuming s is positive.\nAnswer: s**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjhj when four letters picked without replacement from {h: 2, y: 1, z: 1, c: 2, j: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5886 divided by 18.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -826, -862, -920, -1000, -1102, -1226?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433313023 (base 5) in base 9?\nAnswer: -7142522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40\/(-120) + 5\/(75\/268280)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766*x = 506*x + 29536 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 5*f + 19. Let h be a(-9). Let c = -25 - h. Let u be 2\/1 - (3 + c). Solve -4*y - 2*o - 2 = -2*y, 2*y = -3*o - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1171952132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*o - 10, 2*t - 6*o - 5 = -7*o. Let v be (t - -2)*5\/(-10). Let j be (v\/4)\/(5\/(-20)). Which is smaller: j or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0199? (a) 0.3 (b) -3 (c) 10 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10210 is divided by 10105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20920 - -7206\nAnswer: -13714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*152\/95. Suppose -m + 2 = w*t - 467, 4*m - 1948 = 2*t. Is 48 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -1 + 3 + -24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250832*f**3 - 784588*f.\nAnswer: 1504992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1515)\/(-25) - (-2)\/5. Let u be 1*w\/(-2)*-6. Let q = -128 + u. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*q**5 + 3*q - 6?\nAnswer: -2200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 564 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32429, 65432, 98435?\nAnswer: 131438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20505 and -276.\nAnswer: 5659380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27*i - 294. Let v be h(-29). Let l = 502 - v. Let z(f) = 4*f + 9. What is the remainder when z(7) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-280))\/((-5)\/10). Let g(v) be the second derivative of -1\/35*v**6 + 0*v**2 - t*v**5 + 0*v**3 + 0 - v + 0*v**4. Factor g(h).\nAnswer: -2*h**3*(3*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/5, 1.2 in descending order.\nAnswer: 1.2, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19582, 39168, 58754, 78340?\n\"Answer: 19586*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-30)*25\/345\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 1\/3 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*m - 26 wrt m.\nAnswer: -143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 26*a + 60 = 24*a, 19 = 3*u + 5*a. Suppose 0 = 5*x - s - u - 0, -2*x = 2*s + 2. Let g(h) = h + 2. Give g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 5*a**7\/42 + 11*a**4\/12 - 17*a. Find the third derivative of s(g) wrt g.\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 - 5.4. What is the nearest to 12\/5 in o, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -56. Suppose 0 = -18*i - q + 85. Solve 0 = -i*h - 17 - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/444 and -71\/1115106.\nAnswer: 2230212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-35))\/(1\/(-5))*26. Suppose -5*m + 8*m + 11 = -4*d, -2*m + w = -4*d. Solve -m*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 - -5. Let x = 0.3 - 0.4. Let r = 0.4 - x. Which is the biggest value? (a) r (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -1121111000?\nAnswer: -1121110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 440, 0, 30, -1242 in descending order.\nAnswer: 440, 30, 0, -1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 1357470?\nAnswer: 1357461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507, 922, 1337?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 11?\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 13.\nAnswer: 23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-12))\/((-4)\/(-3)))\/(1339\/(-412)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 3857*h - 2038226. Determine x(-632).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*v + 259 = 0, 3*t = 2*v + v + 177. What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*i**2*k + 4089120*i*k**3 - 739466*k**3 + 78 wrt i.\nAnswer: 34*i*k + 4089120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/9 - 65212*n**3\/9 + 531445178*n**2\/9 + 708854440*n\/3 + 236313800 = 0.\nAnswer: -2, 16305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413 - 114 - 11*y**2 + 266 + 12*y**2 + 261.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -k - 3*f + 10, 0 = -2*k - 2*f + 36. Let v(b) = -b**2 + 4*b + 4. What is the least common multiple of v(4) and 1 + 7 + (k - 24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*a + 217*a = 3*y + 42, -25*a = -4*a + 5*y + 150 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 668991892 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306 and 25903410.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - 3.98. Sort b, -0.1, 7 in ascending order.\nAnswer: b, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2\/5*r**3 - 32\/5*r**2 - 38\/5*r + 68\/5 = 0.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370 < 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/t*t)**(-44))**12 assuming t is positive.\nAnswer: t**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2666 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 64518.56237 to the nearest 10.\nAnswer: 64520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 6, r: 3, p: 2, x: 3, e: 2}. What is prob of picking 1 d and 1 x?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3266224 divided by -204139\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {s: 2, k: 6, i: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4) + 549786\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17710 (base 8) in base 16?\nAnswer: 1fc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (194 - 2835 + 616 - 1259 - 654)*(-4*x + 87 - 87) in the form d*x + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12595, 25193, 37791, 50389?\nAnswer: 62987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 31203*v - 31205*v = 16, 5*v = -3*o - 28 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/2 + 3 + -3. Suppose 0 = x - 3*n - o, 4 = -x - n + 2. What is the derivative of -m**2 - 3*m**2 + 1 + 2*m**x wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + 3*z + 10, 2*z - 4 = 0. Is 9 a factor of (2\/v)\/(4\/(-3064))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.1, -2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16023 + 7200. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 * 3249\nAnswer: -750519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63453112.\nAnswer: 2, 17, 466567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242*s - 2188*s - 702 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/115 - 62\/(-5). Suppose 5*j - 19 = q, -2*j + 5*j = c. Is q at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 11*o**2 + 11*o + 8. Let n be k(-4). Solve n = -4*f, -7*f - 17 = 2*a - 2*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286136 (base 10) to base 9\nAnswer: -475448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 214 and -1472798.\nAnswer: -315178772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 t when four letters picked without replacement from {k: 5, m: 3, t: 7, x: 4}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231c (base 15) to base 13.\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1497210 and 1497209 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*t - 360 = 0, t = -3*x + 6*x - 212. Calculate the remainder when 97 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206931229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 3008. Let d = 1276 - n. Suppose 0*o = 4*o - d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -635.9?\nAnswer: 2543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 - 8582*g + 12*g**2 + 8582*g.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {g: 2, f: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 5*d + 369, -j + 112 = 2*d. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38.7 at least as big as 0.92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 601 + 290 + 2*q**2 + 318 + 14*q**3 as y + c*q**3 + l*q + t*q**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-21 - -11)*-8. Solve 0 = 9*b - k + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o - 22*o + 32*o + 34*o + 349*o.\nAnswer: 452*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - a - 2. Let p(c) = -13*c**4 - 7*c**3 - 50*c**2 - 6*c - 12. Let u(h) = 6*b(h) - p(h). What is the third derivative of u(j) wrt j?\nAnswer: 312*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + q. Let d be o(0). Suppose 5*i - 2*i - 20337 = d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/(-44) + (-300)\/(-50) - 114\/418.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1617 and 41601.\nAnswer: 457611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-9 + 1 - 0). Suppose -w - 3*w = -5*v, 5*v + i*w - 35 = 0. List the prime factors of (2 + 12)\/(2\/v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 153172*s. Let m(u) = -294*u. Give -1043*m(a) - 2*q(a).\nAnswer: 298*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 10. Let t = -4.2 - d. What is the smallest value in t, 2\/3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 1. Let j(s) = 16*s + 4. Let f(z) = j(z) + 6*k(z). Let a be f(3). Solve 1 - a = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 w, and 1 v when four letters picked without replacement from svvvvvwvbwgvvb.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10111, -9982, -9659, -9046, -8047, -6566?\nAnswer: -4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -559? (a) 1 (b) -3 (c) 0.2 (d) -76 (e) 0 (f) 48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.1074 rounded to one dp?\nAnswer: 74.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1 + 3\/7*o - 3\/7*o**2 + 1\/7*o**3. Determine y so that a(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.544 + 39.97\nAnswer: 47.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -563 + 313. Let j = -250.03 - v. Which is the second biggest value? (a) 4 (b) j (c) 1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 16*q**2 + 0*q - 5\/24*q**4 + 0 - 2\/3*q**3. Let f be b(-2). Solve 2*r + 4*p = 10, f*r - 5*p = 4*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5 - 67.\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 + 5*i**2 - 2. Let m(s) = -30*s**2 - 25*s**2 + 58*s**2. Determine y(m(o)).\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 3318?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12534*k**3*p**2 + 2*k**2*p**3 + 4*k*p**3 - 2*k*p + 8*k - 12*p**3 wrt k?\nAnswer: -75204*k*p**2 + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -29*q - 35. Is u(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 2. Let x be u(4). Let b = 1\/285 - -63\/95. What is the closest to b in x, -4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-52) + (234\/(-8))\/(-3). Let k be u\/4 + -5 + 4. Determine c, given that k + 3\/4*c - 3\/4*c**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 2, -3, -0.0285, 67?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -51. Suppose -8*r = -h - 108. Suppose -3*z - 365 = -4*w - 8*z, 3*z - 181 = -2*w. What is the greatest common divisor of w and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 430.8 - 431. What is the nearest to 0 in 20, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 30189718.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -3*n, -2*n - 5*r = -6*n + 7. Suppose -5*w - 6 = -11. Calculate the remainder when ((-108)\/(-18))\/(1\/(w\/1)) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 2, -2, -4 in descending order.\nAnswer: 30, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 8*x**2 - 14*x + 1. Let a be h(-5). Let p(c) = 3*c + 4. Let q(j) = -8*j - 11. Let w(i) = a*q(i) - 11*p(i). Let s(f) = -5*f**2. Give s(w(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91922 and 3362?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l - 1563*b + 1558*b + 144 = 0, -3*l - 2*b = -15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -580 smaller than -587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2*(-326)\/(-4). Let x = s + 206. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c**2 - 24*c - 2*c + 2*c**2 - 4*c. Let w be i(15). Solve -n - 3*h - 1 = w, -h = 5*n - 5*h - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/12 - (-9)\/10. Let m = -21.27 - -25.27. What is the second biggest value in m, x, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r**2 - r - 5. Let s be (0\/(-4))\/2 + (-45)\/(-5). Let l = s - 9. Give a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.0241 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22275420 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 1, a: 4}. What is prob of picking 1 m, 1 t, and 2 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/3*2\/(-5). Let t = f + -6. Suppose -t*z - 3*z + 4*d = -129, -3*d = -5*z + 133. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) - (-4 + sqrt(192))*2)**2 + (sqrt(300) + sqrt(300) + sqrt(300)*-3 + 1)**2*-1.\nAnswer: -813 + 276*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24057*q**2 - 18383*q wrt q?\nAnswer: 48114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 25 = -5*g. Suppose -x - 4 = -4*k, -5*x - g = -5*k - 2*x. Suppose -41*o + 38*o + 582 = k. List the prime factors of o.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1283170, -2566342, -3849514, -5132686, -6415858, -7699030?\n\"Answer: -1283172*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.52 - 2.6. What is the smallest value in -2\/3, z, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from bwwaaabaxaxb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134457 - 3.\nAnswer: -134460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -11\/212669?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -685 and -518201.\nAnswer: 354967685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**29\/v**(-35))\/(v\/v**(-20))**(-49) assuming v is positive.\nAnswer: v**1093","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685982240.\nAnswer: 2, 5, 29, 163, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1\/8, 67180, -40 in increasing order.\nAnswer: -40, -3\/7, 1\/8, 67180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-12))\/(2210\/816).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 + 2 - (5 + 1)) - -4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626961.\nAnswer: 3, 103, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4092, 0, 1\/8.\nAnswer: -4092, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 135 + 100)*(4*o**4 - o**4 - 5*o**4).\nAnswer: -184*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6645981 by -22.\nAnswer: -6645981\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 753 - 769. Which is the fourth smallest value? (a) 1\/7 (b) 14 (c) s (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 1018, 1311, 1452?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(2\/5)\/r)*r*r**2*((r\/r**(2\/5))\/r*r)**(5\/2) assuming r is positive.\nAnswer: r**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 7*b + 11904*b**2 - 6406*b**2 to i*b + m + o*b**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-6) + 10\/(-30). Let o be (-2)\/p + 81\/(-90). Which is the nearest to 1? (a) 0.2 (b) 3\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/24 - w**2. Let v(j) = 429*j + 1716. Let p(i) = 3*i + 11. Let a(n) = 156*p(n) - v(n). Determine g(a(b)).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5597 divide 1476871985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:30 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (26 - -16) + -7 + 0 + -23 + -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 - 1. Let h be d(1). Suppose -3*t - h = 2*m, -5*t + m - 2*m = 20. Let n be ((-6)\/9)\/(10\/9). What is the second biggest value in t, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44130170 to the nearest integer?\nAnswer: 6643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.06 - 7. Let q = -0.46 + m. Let a = -1.4 - q. What is the third biggest value in a, -0.3, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313763580, 627527160, 941290740, 1255054320, 1568817900?\nAnswer: 1882581480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -27*j + 430. Let h be o(-16). What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-4))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, b: 1, g: 1, d: 2, u: 4, k: 1}. What is prob of sequence jjuk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 761, 1695, 2999, 4673, 6717, 9131?\nAnswer: 11915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5760200 is divided by 2896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.440216 centuries in millennia?\nAnswer: 0.0440216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-276) + 1562\/23. Let r be 22\/143 - 661\/(-13). What is the greatest common factor of b and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*2)\/((-16)\/(-664)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67309 and 1148719.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**3 + o**2 + 4*o + 3. Let m be g(-1). Sort 3, m, -4.\nAnswer: -4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 48509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414762 (base 8) to base 3.\nAnswer: -20222220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vje when three letters picked without replacement from mevjojvvvvjojeojjj.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3612 - 3611.6. Which is the biggest value? (a) -5 (b) f (c) 1 (d) -239 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(78)\/sqrt(3)*5)\/sqrt(2).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3462 - 2395. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -35. Suppose -4*p - 16 = -2*h - 0*p, 3*p = 5*h - 5. Put y, h, -13 in descending order.\nAnswer: y, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 95002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3396, 3, -6, 3\/11, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (11 - 11) + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 + 12*p**2 + 0*p**2 + 0*p**2. Let l(v) = 2*v. Give l(q(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423012 - -2211?\nAnswer: -420301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/19)*f)**(8\/13)\/(f**(-2\/125))**(4\/25))**(-27) assuming f is positive.\nAnswer: f**(-14228352\/771875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -270, -15\/98?\nAnswer: -15\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*n - 56*n + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dee when three letters picked without replacement from eeeeeeedeeeededeeeed?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/2 + 41273*z**4\/2 + 82539*z**3\/2 - 123817*z**2\/2 - 82540*z + 82542 = 0 for z.\nAnswer: -41271, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60053 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6580.3 - -6580. Let g be 2\/(-123)*(-3)\/(-1). Let t = 4 + -9. Which is the second biggest value? (a) g (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i - 74*i - 110*i.\nAnswer: -211*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 54. Let g be 6\/15 + 54\/o. Suppose g*l = 0, -5 + 69 = 2*i - l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 17299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 40*j - 147. Let f be o(33). Calculate the highest common factor of f and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.763 minus 18362?\nAnswer: -18361.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 3. Let i be j(3). Let u = -25 + 29. Let c = u + i. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 324?\nAnswer: 43092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-9)\/(-4) - 3\/(-4) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -203\/3. Let x = 2 - 2. What is the third smallest value in x, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -216, 1, -2.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 5*o + 5. Suppose 5*i - 17 = -y, -2*i = -4*y - 21 + 1. Let v(r) = -r - 1. What is y*x(q) - 15*v(q)?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m - 15. Suppose 0 = -4*u - 6 - 2. Let d = -5.8 + 6. What is the nearest to d in u, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 9. Let x be f(0). Let k be 0\/(-1) - (x - 3). Suppose 2*h + h = k. Solve -5*p = 3*a + 12, -a - 4 = h*p - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 20*j + 199. Let s be k(-10). Let r(z) = -z**2 + z + 5. Let m be 2\/((8\/(-3))\/(-4)). Let a(i) = -m + 1 - 1 + 4. Give s*r(f) + 5*a(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.995 times 0.08\nAnswer: 0.1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 14*u - 23. Give l(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -1. Sort 1\/4, 4, v, -1\/3 in ascending order.\nAnswer: -1\/3, 1\/4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5243, 5210, 5177, 5144, 5111, 5078?\n\"Answer: -33*y + 5276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472436089.\nAnswer: 53, 1973, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by 5?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d - 9 - 9*d - 2*d**2 - d - 5*d**2. Let f(c) = -c**2 - c. Let w(u) = 4*f(u) - s(u). Is w(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2915189158.\nAnswer: 2, 7, 331, 439, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/((-310)\/160 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*q**2 - 22*q**2 + 46 + 8*q**2 wrt q.\nAnswer: 140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(21)\/sqrt(7) - sqrt(384)\/sqrt(8).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 475, 443, 387, 301, 179?\n\"Answer: -x**3 - 6*x**2 - 7*x + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 49. Let w(o) = -2*o + 28. Let z be w(8). Suppose -3*v + 3*l = -10 - 74, z = -3*l. What is the greatest common divisor of m and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**5\/60 - h**4\/24 + 11*h**3\/2 + 12*h**2. Let b be x(0). Solve d + 3*d = -5*s + b, -17 = -3*s - d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k - 19. Let r be m(5). Suppose -5*x + r = -4*n, -n - 15 = 5*x - x. Let c = 23 + n. Solve c + 1 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.78776 minutes to microseconds.\nAnswer: 3287265600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 9) + 2 + 2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 340 + 341 - 2*t**3 + 3*t**4 - t**4 as r*t**2 + a*t + h*t**3 + d + y*t**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 171*z**2 + 6 - 528*z**2 + 178*z**2 + 181*z**2 as l + c*z + x*z**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*26*((-98775)\/(-2535) - -6 - 45)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2662*z**4 + 2947*z**3 - 126532727*z**2 wrt z?\nAnswer: 63888*z + 17682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (1 + sqrt(475) + sqrt(475))**2) + sqrt(114)\/sqrt(96) + ((sqrt(19)*2*-3 - sqrt(19)) + (sqrt(19)*1 + -1 - sqrt(19)))**2.\nAnswer: -969 - 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at most 208934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 2*o**2 + 10*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 - 74*z**3 + 326*z**2\/9 - 4*z = 0. What is z?\nAnswer: 0, 1\/6, 1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = 5*g + 4*g. Suppose 40 = -5*r + 3*k, 0 = -5*r + 5*k - g + 28. Is (44\/8)\/(r\/(-670)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -469 + 225 + 244 - 14*w + 7*w. Let i(f) = -188*f**2. Determine b(i(g)).\nAnswer: 1316*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8928 and 1056?\nAnswer: 98208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 24*n + 5. Let x be u(24). What is the remainder when 3 + (-1 - -4) + (-15)\/x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:15 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 690507 + 294?\nAnswer: 690801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -290058 (base 11) to base 14\nAnswer: -bb5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 20 = -18*p. Suppose 84 - 230 = -5*b - 2*y, -2*y = p. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/12 + 661*n**2 + n. Let x(s) = -92*s**2 + 6. Calculate x(f(w)).\nAnswer: -368*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -735, -1025, -1315, -1605?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 6*t - 3. Let a be h(4). Suppose 4*w + a = -p, 0 = 3*p + p - 3*w - 75. What is the remainder when 58 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 752*1.83\nAnswer: 1376.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/2520 - r**5\/420 - r**4\/168 + 11*r**3\/3 - 12. Let o(n) be the third derivative of d(n). Solve o(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2594*y - 1014275. Determine s(391).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcj when three letters picked without replacement from cpj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3 - f**3 - 5*f**2 + 3*f + 4 + 2*f**3. Let a be m(4). What is the units digit of ((-2)\/(-3))\/(a\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 + 4*u + 11. What is v(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002787 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*a + 35. Let y(j) = -4*j**2 - 4*j + 2. Let l be y(a). Let x = -43 - l. Solve 5*w - 8 = x*w, 4*w - 4 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 26*g**2 + 31*g - 4. Let q(z) = -z**3 - z**2 + z + 1. Let l(d) = -6*q(d) + v(d). Determine r, given that l(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7550 and 625.\nAnswer: 188750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0 - 0) + (30 - 35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 45*u - 334. Determine j(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4136288.2 rounded to the nearest 100?\nAnswer: -4136300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 2.1. Which is the closest to 0.1? (a) 7 (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away 950?\nAnswer: -949.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let h(m) = -3*m**3 + 4*m + 6. Suppose 33*i - 32*i = -3*x - 2, 0 = 4*x + 3*i - 4. Give x*a(p) - h(p).\nAnswer: 3*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 15 = -28*m. Let d = 0.1 - 0.1. Let v = d - -0.03. Which is the third biggest value? (a) m (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 64887292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - (3 - (-7 + 3)). Suppose m + 5 = -2*w, 0*w = -4*w - 3*m - 5. List the prime factors of 3 + w\/(d\/42).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6138860, 12277718, 18416576, 24555434?\nAnswer: 30694292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 2. Let c = 0.4474058 - 0.0474028. Let r = s - c. What is r rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826470?\nAnswer: 2, 3, 5, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + q + 33*q - 33*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35517 is divided by 92.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 13, -2.\nAnswer: -2, -0.04, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from {s: 1, a: 4, z: 6, g: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzsussjszzdjdzzdzg. Give prob of sequence gz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*y + 10809, 2*n - 32413 = -n - 5*y. Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:40 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 177*c - 178*c - 1028 = 0, c - 620 = 3*g. Which is bigger: -209 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -38. Let b(p) = p. Let v(d) = d**2 - 5*d + 6. Let f be v(4). Let g(u) = u**2 - 4*u - 1. Give f*g(a) + z*b(a).\nAnswer: 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -659 - -658. Let t = -4.1 - -4. Let p = 2.61 + 0.89. Sort i, p, t in decreasing order.\nAnswer: p, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a - 24 + 24 + (0 + 0 + 2*a)*(2 - 2 - 2) + 4 - 4 + 2*a + 66 - 16*a - 66 to c*a + q and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 - 167. What are the prime factors of n\/8 + 2\/8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 6\/9023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -284, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664959 to the power of 1\/2, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -a2021?\nAnswer: -a2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Let f be 0\/(x - (-9)\/(-3)). Let s be (f - (-1)\/3)*1. Which is the third smallest value? (a) 2 (b) 3\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(6\/3 + -1). Solve t = -q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l + 108*l = 2145. Calculate the remainder when 259 is divided by l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**6\/720 + 13*o**5\/360 + o**4\/3 + o**3 + 31*o**2\/2 + 20*o. Let f(r) be the first derivative of c(r). Solve f(k) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2 - 6*p + 3. Let o(w) = -w**3 + 10*w**2 + 6*w - 4. Let h(r) = 3*o(r) + 4*s(r). Let g(y) = y**3 + y**2 + y. What is -6*g(k) - h(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360753?\nAnswer: 3, 19, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/693987 and -71\/693987.\nAnswer: 693987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-113)\/565)\/(31\/15 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133\/5 + 30. Suppose -v - 3 + 4 = 0. Calculate the common denominator of v and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40\/203 + 563\/1827. Which is the nearest to -2? (a) k (b) 0.3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5 - 183*o**4 - 1908*o**3 - 7296*o**2 - 11904*o - 7056 = 0. What is o?\nAnswer: -49, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/893 - -4474\/2679. Let t(w) be the first derivative of 7*w - a*w**3 + 19 + 3\/2*w**2 - 1\/4*w**4. Calculate t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 185, 327, 523, 791?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 2, -2, 0 in descending order.\nAnswer: 2, 0, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -109708, 14 in increasing order.\nAnswer: -109708, -4, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -23.1 (b) -3 (c) -2 (d) -1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49131 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011810 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - 0.4. Let c(l) = l**2 - l - 11. Let g be c(-3). What is the nearest to g in -0.3, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 + 0*y**2 + 3*y**2 + 2*y**2. Let n(g) be the second derivative of 0*g**2 + 1\/3*g**3 + 0 - 3*g. What is v(n(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let g(u) = 2*u**2 + 2*u - 95. Calculate g(r) + 3*w(r).\nAnswer: 2*r**2 - r - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 676829886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5745*i**4 - 730*i**3 + 3*i**2 + 295138?\nAnswer: -137880*i - 4380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 108. Let k = -53 + g. Suppose 19*h = 16*h + 21. Calculate the highest common factor of k and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 14*h + 6. Suppose -7 = -u - 2. Suppose i = -2*c + 12, -c = u*i - 4*i - 13. Let m be k(i). Solve -3*p - m = -3*l, -l + 2*p + 3 = -0*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6751 + 67451\/10. What is the common denominator of t and (22\/12)\/(0 + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 6*f + 8*f**2 - f - 6 + 4*f. Let y(b) = -b**2 + b + 1. Suppose 5*h = 4 + 1. Let x(t) = h*j(t) + 6*y(t). Let a(g) = 5*g. What is a(x(d))?\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsnovttvn. Give prob of picking 1 t and 2 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -0.331 (c) 1\/2 (d) -2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -226*f**5\/5 + 45*f**4 + 679*f**3\/5 - 223*f**2\/5 - 453*f\/5 - 2\/5 = 0.\nAnswer: -1, -1\/226, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/22 and -3 - 14\/(-48)*-3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.59 + 0.589908. What is z rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/81*-3 + 15*140\/2646?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.154 and -0.32?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5. Let q be (b - 6\/1)\/1. What is the units digit of 2\/q + (-58)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -89*j + 1. Let m(q) = -2*q + 2. What is m(a(d))?\nAnswer: 178*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1 (c) 13 (d) -2 (e) 774\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 - 976441*f**3 - 2*f**4 + 976544*f**3 - 2348*f**2 wrt f.\nAnswer: -72*f + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 641229786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2021 and -3.\nAnswer: -0.6063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12890 - 12881. Solve -2*d = 3*f - 10 - u, -20 = -2*d - 4*f for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*q + 83404 - 219124. What is the greatest common divisor of 290 and q?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -547718487 divided by 6\nAnswer: -182572829\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n - 1. Let m be u(5). Let d = m + 19. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 6) in base 13?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 + 0)*1)\/(-1). Let i(n) = 6*n**3 - 5*n + 4. Let s(r) = 6*r**3 - 6*r + 5. Let t(q) = 6*i(q) - 5*s(q). List the prime factors of t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -27825.\nAnswer: 13912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*s*z**3 + 415*s*z - 2*z**3 + 2*z**2 + 3950 wrt s?\nAnswer: -59*z**3 + 415*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -2. Let y = 9 - t. Which is the second biggest value? (a) y (b) 3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g. Let l be q(4). Find d such that 3*d**4 + l*d**4 - 12*d**2 - 4*d**2 - 11*d**4 - 4*d**3 + 4*d**5 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587 - 186 - 17 - 11*c - 192 - 192.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffvffffffffff. What is prob of sequence ffvf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 38*h**3 - 8*h**2 + h - 14. Let p be u(6). What is the second derivative of -7912 + 10*v + p - 16*v**3 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*s, 11*q - 7*q + 45 = -3*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13836 or -965?\nAnswer: -13836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18528492.\nAnswer: 2, 3, 199, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l. Let j(x) = -2268*x + 3. Give j(k(h)).\nAnswer: -13608*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/(7\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/16*1\/(-8)*172\/(-645)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -715*d + 716*d + 5*j, 3*d = 4*j + 84 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j**3 + 0*j**2 - 14*j**3 - 1 + 20*j**3 + 3*j**2 as l*j**2 + v*j + c*j**3 + s and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 10. Let l = 44 + t. What is the nearest to -1\/3 in l, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-33)\/(-6))*(-2)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 4*z + 3. Let k be f(-4). Suppose 0 = -3*i + 3*l + 131 - 86, 0 = -5*l - 30. Put i, k, 2 in descending order.\nAnswer: i, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3 - 6\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -9.2, -0.2, 25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 30*t - 26*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15095063?\nAnswer: 19, 794477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4015.9 + 4015.9. What is the closest to u in 2.4, 6, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*115\/(2645\/(-276))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36085868.9 to the nearest 1000.\nAnswer: -36086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-8)\/(-10) + 2576\/(-3120)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11488*y**2 + 6*y + 21. Let c(d) = -1022428*d**2 + 532*d + 1862. Calculate 3*c(n) - 266*m(n).\nAnswer: -11476*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n - 82*n - 475 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*w + 61*w + w**2 + 66*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - sqrt(7)*1)**2 + sqrt(7) + -5 - (-3*sqrt(7) + -4)) + 0)*-1.\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:27 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n + a - 14, 5*n + 3*a = 62. Let h be (-150)\/(-2)*2\/6. What is the highest common factor of h and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*x = -81*x + u + 28, 32 = -3*x - 2*u for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 3*g**5\/20 - g**4\/3 - g**3\/3 + g**2 - 19*g + 43. Let l(r) be the first derivative of u(r). Is l(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.489891 + -2.49. Round o to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 128*j**2 + 31*j + 101. What is the remainder when b(-3) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, 4.\nAnswer: -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = 7*f - 22*f + 43*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -72880 (b) -1 (c) -8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + 1 + sqrt(200))**2 + (-4*(sqrt(200) + 1) - sqrt(200))**2) - ((sqrt(242) + sqrt(242)*-2*-2)**2 - 2*(sqrt(128))**2).\nAnswer: -32054 - 2600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 150a8 (base 14) to base 15\nAnswer: 10759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7547*k**2*w + 4*k**2*x**3 - 39*k*w - w*x**2 + 18*x**3 wrt k.\nAnswer: 15094*w + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9070 + 2 + 2\/(-1). What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1, j: 2, m: 4}. Give prob of sequence qmj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3964 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/221)\/((24\/(-17))\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n + 6. Let w be (-5)\/((-5)\/(-4)) - -4. Let k be r(w). Solve 0*a + k = -g - a, 5*g = 4*a + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -l - 3*l - 18, -5*p = 4*l + 10. Suppose h + u - 22 = -3*u, -p*h + 8 = -u. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.7, 1\/2, 4, -14\/3, 2.4, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Suppose 5*q + l = 6*q. What is the remainder when 9 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/3267 and -127\/660?\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3181*a**2*n**3*t - 522*a**2*n**3 + 2*a**2*n**2*t + 2418*a**2*n**2 + a**2*n + a**2 + a*n*t wrt n.\nAnswer: -19086*a**2*t - 3132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 9 = 33. Solve 0*d - w*d = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -169 + 3?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430 is divided by 1217.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 8)*(10 - 159*u - 111*u + 315*u - 2*u**3) to the form d*u**3 + y*u + f*u**2 + j and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 97. Determine w(7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -18. Suppose -83 = 3*u - 5*f, 5*f + 66 = -3*u + k. Let o = -3 - u. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*l + 2 = -5*l, -3*l + 5 = -5*q. Let h(f) = f**2 + 3*f. What is the units digit of h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635723421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579171570 to the nearest integer?\nAnswer: 24066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6)*(9 + -5). Solve 0*w = -q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -120*t + 865. Give s(9).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1009, 0, 5, 28 in decreasing order.\nAnswer: 28, 19, 5, 0, -1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 - 4*t + 4. List the prime factors of u(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191492 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 882\/(-49) + ((-4)\/10 - (-102)\/30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*y + 24, 2*y - 4 = 3*y. Let l be (m\/4)\/((-2)\/8). Let x be 4\/10 + 153\/(-45) - -3. Sort -5, l, x.\nAnswer: -5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 8. What is z(-11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12*b**2 - 1969*b - 64357. Determine d(192).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1\/2, -5, -0.4, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 10*m**2 - 25*m**2 + 7*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 - f. Let y be b(1). Suppose -5*q + y*o = 7*o - 386, -3*o = q - 75. Let w = q + -47. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 309*p + 5\/12*p**4 + 25\/6*p**3 - 35*p**2. Factor b(g).\nAnswer: 5*(g - 2)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -147, 0, -9.\nAnswer: -147, -9, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -77*v**3 + 9*v**2 - v + 8. Let t(z) = -155*z**3 + 20*z**2 - z + 19. Determine 5*k(s) - 2*t(s).\nAnswer: -75*s**3 + 5*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4043 (base 6) in base 7?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 + -192. Solve 3*v + v - 8 = 2*p, r*p - 5*v + 9 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*d = -55 - 2, d = 5*t - 67. Let i = 16 - t. Suppose 0 = -3*l + 2*z + 4, -3*l + 2*z + i*z = 4. Solve -3*m = -l*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 3. Let j = t - 3. Let h = 0 + -0.2. What is the nearest to 1 in -1\/3, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (138\/(-299))\/(-2 + 5 + (-9)\/2)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023731 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*i**3*r**2 - 6*i**3*r - 9*i**2*k**3*r - 5*i**2*k**2*r + k**3*r**2 - 2*k**2*r**3 wrt r.\nAnswer: 212*i**3 + 2*k**3 - 12*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2.1, -5, 2.8, -2\/19 in increasing order.\nAnswer: -5, -2, -2\/19, 2.1, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/54)\/((-2)\/(-21)*(-2)\/763682) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 39*p\/2 + 21.\nAnswer: -3*(p - 1)*(p + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m. Let d(u) = 3*u - 2*u - u - u. Give d(o(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (350*x**3 - 186*x**3 + 18*x**2 - 186*x**3)*(7 + 0 - 2) as i*x**2 + l*x**3 + m + u*x and give i.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 46, 0.7, -0.0488?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-8 - (-5 + 1)). Let w = -227.2 - -224.2. Which is the second biggest value? (a) g (b) w (c) 0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 6*u. Calculate the smallest common multiple of 15 and h(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 25*r**2 - 41*r + 122. Is z(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5760 divided by -48?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/534885 and 137\/7899840.\nAnswer: 102697920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.2 = -8928.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4\/7))\/i**(1\/5)*(i\/i**0)**24)\/((i\/(i\/(i**0\/i)))**(6\/11)\/(i**(-2\/9)*(i\/(i**(-6)*i*i))\/i*i*i)) assuming i is positive.\nAnswer: i**(105862\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53941817 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500) + 0 + (sqrt(500)*-2 + sqrt(500))*-6 - (-2 + (sqrt(500) + 1*sqrt(500) + sqrt(500))*1))**2.\nAnswer: 160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8873 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2351354*o**5 + 2*o**4 - 2*o**2 - 947878*o - 2?\nAnswer: -47027080*o**3 + 24*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-9)*3 - -1. Calculate the remainder when 5 is divided by ((-2)\/5)\/((-7)\/f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 78531930.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 730 + -2191\/3. What is the closest to 3 in -3, -0.75, a, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -36. Let p be (-133)\/(-9) + 4\/18. Calculate the highest common divisor of p and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 936360 or 936356?\nAnswer: 936360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175740\/61509)\/(0 - (-44)\/42).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(1\/8)*x*x)\/(x**(-4)\/x))\/((x*x\/x**(1\/2)*x)\/(x**(-1\/8)*x)) assuming x is positive.\nAnswer: x**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 1885*j**2 - 7645*j + 9525.\nAnswer: 5*(j - 381)*(j - 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -5, 2, -8, -1 in increasing order.\nAnswer: -8, -5, -1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5685 and 122415.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1269348 divided by 2283.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -13 + 13 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12509185950 rounded to the nearest 1000000?\nAnswer: 12509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 29981.\nAnswer: -149905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + 4*i - 4*i)*(3*i + 0*i + i + (10 - 10 - 31*i)*(3 - 3 + 1)) to n*i**2 + c*i**3 + h*i + m and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3306*b. Let d(w) = -w**2 - 4. Determine d(l(f)).\nAnswer: -10929636*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 73429*w + 1101297. Give r(15).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4615b3 (base 13) to base 7.\nAnswer: -20051565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k + 7. Let m(d) = d**3 - 6*d**2 - 9*d + 16. Let z be m(7). Let r be v(z). Solve 2*h + r = 6*h - 3*x, h = -4*x - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2\/13 (c) -31599 (d) -2\/11 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 28*u**2 + 32*u + 512. What are the prime factors of t(-21)?\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*a + 36*a**3 + 40*a**2 - 18*a wrt a.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 1 - 3 + 3*a**2 + a + 7*a**3 to j*a**3 + h + m*a + f*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 19*p**2 + 6*p + 12. Let z be l(-2). Suppose 2*s + z = 68. Let d = -0.1 - 0.3. What is the nearest to 1 in d, 4, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 + -36.38\nAnswer: -37.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 + 232*m**3 - 5202*m**2 - 6840*m + 388800 = 0.\nAnswer: -135, -8, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 7*s)*(3 + 3 - 5) - 13*s + 13*s - 19*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39572 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 41 = -4*t + j, 5*j + 25 = 0. Solve -3*w = 2*g + 3*g + 17, t = -g + 5*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 8 + -15 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*s - 883, -4*f + 5*s - 10*s + 3477 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 8*d**2 - 9*d - 3. Let p be k(-9). Let r = 5 - p. Solve -4*w + 12 = -r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 5, z: 3, t: 1}. Give prob of sequence tlz.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 - (-1969)\/(-44). Suppose -2 - 4 = -2*z. Put z, 5, u in decreasing order.\nAnswer: 5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.102 + 0.202. Let u = 0.5 - 0.8. What is the second biggest value in v, -3\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-2) - 2) + (-81)\/54. Is (0\/(-7))\/w - (-1 + -71) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 3:56 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -525*f + 557*f - 1 + 0 as x*f + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18647182?\nAnswer: 2, 31, 300761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10110 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + 20 + -6 + -83?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 627*c**2 - 77. Let j(q) = 33*q**2 - 4. Let h be (-1)\/((-30)\/220*-2)*21. Give h*j(i) + 4*t(i).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z\/z**33)\/z)*z))\/(z*z\/(z\/z**(-22)*z)))**(-1\/25) assuming z is positive.\nAnswer: z**(12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424426 is divided by 218?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/3? (a) -4 (b) -8 (c) 2\/5 (d) 10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Let r(v) = 8*v**2 + v - 2. What is the remainder when r(n) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36791?\nAnswer: 36791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/9)\/(c\/c**(-8))*c\/(c*c*c*c**(2\/11))*c*c**(1\/6)*c)**22)**16 assuming c is positive.\nAnswer: c**(-27152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16427 divided by -192\nAnswer: -16427\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 41*t**2. Let s(x) = 2*x. Give s(w(a)).\nAnswer: 82*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -253.19 rounded to the nearest integer?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c*c*c**5*c*c))\/c)\/(c\/((c*c**(-5\/2)*c)\/c*c)))**(-6\/7) assuming c is positive.\nAnswer: c**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -2*(sqrt(2736) + 3) + sqrt(2736) - -1*(sqrt(2736) + 4).\nAnswer: -2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(2) + sqrt(2))**2 - sqrt(2))*1*-3 + (sqrt(432)*-1)\/sqrt(6) + -1 + 3.\nAnswer: -18*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3, 2, -4 in descending order.\nAnswer: 2, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315?\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 226167540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**3 - 19*z**2 + 3*z.\nAnswer: z*(z - 1)*(16*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11287 smaller than -11076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Let v be ((-58)\/377 - 440\/(-2184))*21. Solve 3*x = -o - v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -7*d**2 + 0*d - 1\/24*d**4 + 1\/3*d**3 + 0. Let j(p) = 3*p - 2. Let c be j(2). Give k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/3 - 4*j**2 - 4*j - 7. Let i(g) = 2*g**2 + 15*g + 8. What is -6*i(p) - 11*y(p)?\nAnswer: -p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t + 130. Let p be o(16). Solve 8 + 7 = 5*g + 5*q, p*g + 8 = 5*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -78, -20260 in decreasing order.\nAnswer: 191, -78, -20260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25124, -25150, -25186, -25226, -25264, -25294, -25310, -25306?\n\"Answer: f**3 - 11*f**2 - 25114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267 and 9208?\nAnswer: 2458536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-5)*20\/9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 91. Let s be h(-13). Solve s = 2*i + 5*u, -3*u = -5*i + 4*i + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1166 - -52. Is r a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*s**2 - 331*s wrt s?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-14)*(-3)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15645 and -0.3.\nAnswer: 0.046935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*m**3 + 17574317*m**2 - 719043*m - 31 wrt m.\nAnswer: 150*m + 35148634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-10))\/((-56)\/(-160))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i - 13. Let j be a(-9). Let h(o) = j*o - 3*o - 2*o**2 - 117 + 110 + o**2 + 0*o**2. Determine h(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -114.0005. Round l to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**6\/45 + m**5\/20 - m**4\/18 - 12*m. Suppose n(p) = 0. What is p?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860711 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 23 = 4*v - 2*l, 2*v + 4*l + 24 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*o - 131, 135 = 2*j + 4*o - 3*o. Let d = j + -15. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7\/3)\/j**(-2\/59) assuming j is positive.\nAnswer: j**(-407\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65.7163 + 0.7163. Is -12 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9815 or -16410?\nAnswer: -9815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -1\/30*g**3 + 0 + 1\/100*g**5 - 1\/10*g**2 + 1\/60*g**4 - 26*g. Factor h(o).\nAnswer: (o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2218 - -0.06\nAnswer: 2218.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:14 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let n be u(5). Suppose y + 3 = -n*y. Let q = -1 - y. Solve 4*t - q*t + 4*g = 12, 4*t - 5*g = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001793 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q*q**(-3)*q**(-1\/5)*(q**(-2\/5))**6 assuming q is positive.\nAnswer: q**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11326 + -7904. Suppose 0 = 5*p - 148 - g. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(1*2))\/(35\/(-420)). Let s be ((-15)\/(-10) + -4)*r\/(-15). Suppose -16 = 4*j, -4*y + 144 - 44 = -s*j. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*k - 1 = -3, 2 = -3*v - 4*k. Let t(h) = 85*h - 115. What is the remainder when 714 is divided by t(v)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-20) + (345\/(-12))\/(-5). Let i(f) be the third derivative of 0*f**5 + f**2 + 1\/24*f**4 - 3\/40*f**a + 0*f**3 + 0*f + 0. Give i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169893 divided by 6\nAnswer: 56631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -43 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1202542342 + -5?\nAnswer: -1202542351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20566184, -41132370, -61698556?\nAnswer: -82264742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54226541.7499978 + 54226548. Let z = p - 6.25. What is z rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:05 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 3*q**2 - 4*q - 3. Let c be w(-2). List the prime factors of 124\/c + (-4)\/(-18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.4. Let j = 110133 - 110130. Which is the biggest value? (a) j (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*u + 35 = 0, 965*t = 926*t - 5*u - 220 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 25*z**2 - 31*z - 137. What are the prime factors of m(6)?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h - g + 23, 0 = -4*h - 2*g + 26. Let i(p) = -p**2 - 5*p - 4. Let q be i(-2). Solve -q*k - h = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966 and 21232.\nAnswer: 10255056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -8 (b) -4 (c) -0.2 (d) 6\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**5 - q**5 - 2*q**5)*(-2 + 5 + 0) + 5*q**5 - 8*q**5 + 2*q**5 + 5*q**4.\nAnswer: -10*q**5 + 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 9*z**2 + 13*z**2 - 10*z**2 + 3*z + 7 - 1 as j + a*z**2 + u*z and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*o + 950*o + 5*k - 10 = 0, 2*k - 4 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159042 + 3660?\nAnswer: 162702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6677.4 and 0.18?\nAnswer: 6677.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 3*c + 3. Let l be j(-4). Let i be 2\/(-7) + l\/7. Find the common denominator of -151\/18 and 5\/20 - 37\/i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*o + 372 = -4*k, -3*k - o - 1129 = 0. Let y = -1505\/4 - k. Sort -1\/7, y, -2, -1 in descending order.\nAnswer: -1\/7, y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 - 20*b**2 - 5*b**2 + 62*b**2 - 22*b**2 - b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*c = 93*c - 4860. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 8:15 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c - 1. Let j(x) = x. Give 3*j(a) + m(a).\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.88 - 3.88. What is the nearest to b in -48, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, d: 4, w: 4}. Give prob of picking 1 d, 2 w, and 1 x.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*v**2 + 0*v**2 - v**2)*(1 - 4 + 6)*(-2*v - 5 + 4*v - 1) to d*v**3 + b + i*v + u*v**2 and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 20595124.\nAnswer: 61785372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34706940 + 3?\nAnswer: -3470693a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 times -1\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - 2*1*sqrt(133))\/(sqrt(35)\/(3*sqrt(5))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = o. Suppose -5*h = -o - 19. Suppose 0 = -h*f + 203 - 23. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y + 171*y + 309*y = -105*y + 70096 for y.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8583537\nAnswer: 2\/8583537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -15. Let g be (-8)\/192*(-70)\/(-1) + (-19 - -22). What is the closest to -0.2 in c, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1067, 7914, 26453, 62516, 121935, 210542?\n\"Answer: 972*k**3 + 14*k**2 + k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00443 + -45.99557. Let d = -1043522.999948 + 1043569. Let w = d + s. Round w to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 + 2*b**2 - 2*b - 34 + 32)*(11*b**2 + b**2 - 8*b**2).\nAnswer: 32*b**4 - 8*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 2, k: 5, z: 8}. What is prob of picking 2 k?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/(-259) + 26\/7)\/(-78).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1)*(0 + 1). Suppose 2 = -o, 2*o = -j - d*o - 9. Is (j - -12) + 0\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + -91252?\nAnswer: -91242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 749937 * 1361\nAnswer: 1020664257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05412376 - -1.59715026. Let o = z - 1.063022. Let q = o - 0.48. Round q to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 65142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0.09882834074343.\nAnswer: -4.90117165925657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2240*c - 989 with respect to c.\nAnswer: -2240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 160.6866?\nAnswer: 2249.6124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -28, -8, -54, -208, -512, -1008?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54280 is divided by 18086.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 14. Calculate the remainder when 524 - (-3 - -2 - 0)\/1 is divided by t(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.189? (a) -5 (b) 146 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(21 - 11)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 5\/4, -1\/4, -3597 in increasing order.\nAnswer: -3597, -1\/4, 3\/4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 6*f**3 - 6*f**3 + 25*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424 and 31588?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = -13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*h**2 + 22*h**2 - 10*h**3 - h**4 - 12*h**2 + h**3 + 439 with respect to h.\nAnswer: -4*h**3 - 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:53 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 1\/6*z**3 + 0*z**4 + 0 + 0*z**2 + 6*z - 3\/20*z**5. Find the second derivative of p(j) wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29459709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 297504.3225 rounded to the nearest ten?\nAnswer: 297500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 - c**2 + 11*c + 3*c**2 - 11*c wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 12, 3*s - 2*c - 14 = 0. Suppose 12 = 2*m + s*g, m - g = -6*g + 22. Let z be 13*33\/6*m. What is the highest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620898?\nAnswer: 2, 239, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343093?\nAnswer: 103, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 932 + -927. Which is the closest to 0.03? (a) -2 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 744, 2967, 6672, 11859, 18528, 26679, 36312?\n\"Answer: 741*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5340396?\nAnswer: 2, 3, 445033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from bgbgebqegeejqee.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494 and 11284.\nAnswer: 214396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 1360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -314?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 18*q**2 + 64*q - 64. Let o be v(20). Suppose -5*r + o = 27*r. Let z be 2\/6 + 4\/6. Calculate the highest common divisor of z and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*c - 36, -4*c - r - 4*r - 52 = 0. Let p be ((-20)\/16)\/((-26)\/24 + 1). What is the hundreds digit of (-1418)\/c + (p\/4)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8375115 divided by -3.\nAnswer: -2791705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0.3, 4, 2\/13 in increasing order.\nAnswer: 2\/13, 0.3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(19))*2 + sqrt(209)\/(sqrt(55)\/sqrt(5)).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.35 and -5.7.\nAnswer: -19.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 23 + 37 = 0. Let n be (25\/t + -1)\/3. Which is the second smallest value? (a) 1\/4 (b) -1\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633 is divided by 333.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 1, s: 3, l: 1}. What is prob of sequence qlb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -45 + 0*l + 5\/2*l**2. Let t(u) be the first derivative of -7*u**2\/2 + 1. Give t(z(g)).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.71 - 43.71. Let d = 45 + o. Let k be (-12)\/27 - (-2)\/6. Which is the nearest to k? (a) -4 (b) d (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14512 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2427001 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -3*l**2\/2 - 5. Let w(i) be the second derivative of 0 + 2*i - 1\/2*i**3 + 0*i**2. Determine w(z(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 - 2.24. Let v = p - -2.5. Let y = -2\/1169 - 2503\/1169. Put -2, y, v in decreasing order.\nAnswer: v, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*n + 2*u, -2*u = -3*n + u + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 86*n + 1755. Determine o(54).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 30. Let d(l) = -5*l**2 + k*l**2 - 2*l**2 + 6 + l**2 - 3*l. What is d(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -46 - (-2 + 0\/(-3)). Calculate the common denominator of -62\/3 and 2\/r*((-737)\/8 - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111110100001 - 1000101000?\nAnswer: -1000000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*k - 3*k - 3243, 0 = v + 3*k - 1073. Let t = -3274\/3 + v. Calculate the common denominator of t and (-10)\/(-22)*20\/(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.384 times 0.089?\nAnswer: -17.300176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 14. Let b = a + 8. Let x be 2\/5*(2 + 3). Solve 0 = -x*d - b*j, 2*j = -0 + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31)\/7*(19845\/(-126))\/45. Let n*z**3 - 17*z**2 - 7\/4*z**5 - 8 + 19\/4*z**4 - 34*z = 0. Calculate z.\nAnswer: -2, -1, -2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8316428*r**2*w - r*w - 4334*r - 404*w - 1 wrt r.\nAnswer: -16632856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.6851 and 56.\nAnswer: 318.3656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5 (base 12) to base 6.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/680 and 61\/19856.\nAnswer: 99280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1584) - (sqrt(1584)*3 - sqrt(1584))))**2 + 3 + (-6*-2*sqrt(1100) - ((1*sqrt(1100))**2 + 0)).\nAnswer: 144*sqrt(11) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5194\nAnswer: -5\/5194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1*(438\/42 - 10). Let i = 0.3 - 0.1. What is the closest to 0.1 in i, -4\/5, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 12. Let l(n) = 7*n**2 - 2*n - 9. Let k(v) = 3*v**2 - v - 4. Let i(g) = d*k(g) - 4*l(g). Let z(h) = 5*h**2 + 4*h. Determine -3*i(m) - z(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltsh when four letters picked without replacement from lllllshstllhtlflhls.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/((-2)\/40). Let w = -16 - y. Suppose 2*a - a - w = 0. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/60*-8 - 3884\/3080 and -31\/10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10673 = 747*d + 5520 + 3487 + 1236 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {b: 3, m: 1, y: 8, p: 1, i: 3, l: 3}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 9. Let v(b) = -b + 5. Let n(h) = -4*m(h) + 7*v(h). Let y be n(3). Let r = 270 - 267. Solve r + 1 = y*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153456.\nAnswer: 2, 3, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.72? (a) -14 (b) -2\/5 (c) 2129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -4, 1, 11, -1.\nAnswer: -5, -4, -1, 1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1\/12, 4\/3, -1\/3, -3, 5093?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f - 39*f = 264. Suppose -f - 22 = -5*s. What is the remainder when s is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480115108.2 rounded to the nearest ten thousand?\nAnswer: -480120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 + 0*l**2 + l**2)*(-l - 3*l + 2*l) - 100284767*l + 5880*l**3 + 100284767*l to the form j + q*l**2 + a*l + p*l**3 and give p.\nAnswer: 5878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 59. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26311417 - -16?\nAnswer: 26311435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387 - -384. Sort o, -1\/2, -0.3, -1\/4 in descending order.\nAnswer: -1\/4, -0.3, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**4 + 29133025*k**3 + 65343*k**2 - 655*k + 1 wrt k.\nAnswer: 72*k + 174798150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from ftkkfttckffskkft?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001824 to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 + 2*w. Let x be d(-1). Differentiate 8*b + 8 + 9 + 11*b - x with respect to b.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 21 = 5*b, 4*b + 0*b = -20. Let d be ((-10)\/2 - -8)\/l. Suppose r - 4 = 5*r, -4*o + 2*r + 38 = 0. What is the highest common divisor of d and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 + 8*t**3\/5 - 6*t**2\/5 - 36*t\/5.\nAnswer: 2*t*(t - 2)*(t + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6 + 6. Let c(h) = 2*h - 7. Let u be c(t). Suppose -3*l - 30 = -4*x - l, -u*x + 5*l + 30 = 0. Solve -4*s = -x*s + 2*g + 9, -g = -s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**8\/2184 + z**7\/455 + z**6\/260 + z**5\/390 - 6*z**2. Factor l(g).\nAnswer: 2*g**2*(g + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/13 (b) 116 (c) -19 (d) 2 (e) 0.4 (f) -0.06 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5201*j**2 + 2*j**3 - 5205*j**2 - 12*j**3.\nAnswer: -10*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p**(-1\/13)*(p**6\/p*p)\/(p\/p**6))**(2\/19) assuming p is positive.\nAnswer: p**(210\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -63, -153, -281, -447?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 100. Let t be q(-11). Let z = 0 + 1. Which is the third smallest value? (a) t (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:52 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = 3*b - 1, -5*b - 2*m - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 - -11209\/36. Calculate the common denominator of (-30)\/(-15) + (-17)\/24 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = 5*d + 13*d. Does 16 divide (((-120)\/d)\/(-4))\/((-1)\/336)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3608*p - 1 - 12308*p + 1. Let b be q(10). What is b rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12559518, -25119037, -37678554, -50238069, -62797582, -75357093, -87916602?\n\"Answer: l**2 - 12559522*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 98*a - 11. Let u be b(3). Suppose -8*i + u + 181 = 0. Calculate the remainder when 110 is divided by i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1152942 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 + 2*k + 31. Give v(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 1.96, -2, 4?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1522633534 or -1522633533?\nAnswer: -1522633533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28920)\/(-12291)*2\/8*3\/3.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t**3 + 3*t**3 + t**3)*(-85*t + 214*t + 144 - 181*t - 89*t) in the form l*t + c*t**3 + r*t**4 + g*t**2 + d and give r.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 z when three letters picked without replacement from xxxmxbzh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v - 3*v**5 - 7*v**5 + 4*v**5 - v**5 + (-v**3 - v**3 - v**3)*(0 + 0 + 2*v**2).\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuv when three letters picked without replacement from {g: 1, v: 1, u: 3, n: 1, e: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835801 take away -4?\nAnswer: 3835805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 25*b - 6. Let j be t(1). Suppose -j*p = 11*p - 43230. Is 91 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 2. What is the remainder when g is divided by (-2)\/28 - ((-1265)\/70 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 5, n: 10, m: 1}. Give prob of picking 1 l, 1 p, and 1 n.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -4 (b) 37.7 (c) 4 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-98)\/245 - 26*(-2)\/(-720) and -47\/378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wssswwssssgws. Give prob of sequence ssgs.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 7, z: 1, s: 3, g: 1}. Give prob of sequence saz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t*x**2 + t*x*z + 23*t*z - x**2*z + 2*x**2 - 25*x*z + 4 wrt z.\nAnswer: t*x + 23*t - x**2 - 25*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 13) to base 9\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -3, -22, -61, -126, -223, -358?\n\"Answer: -b**3 - b**2 + 5*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = -0*f. Suppose -f = -q + 1. Suppose 0 = -v - k + 128, 5*v + 3*k - 204 = 436. Calculate the highest common divisor of v and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 15*f - 8. Let c(i) = 2*i + 7. Let z be c(-1). Suppose 8*x - 3*x - 50 = z*g, -5*x + 86 = 4*g. What is r(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-517 - -485 - (2 - -6)) + (-15 - 0)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1207203 = -27*s - 30*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 21*n**3 + 51*n**3 - 2*n - 28*n**3 - 18*n**3 as v*n**2 + s*n + w + g*n**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 1605140 + 844360. Is x\/100 + 1\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75871620 and 48200.\nAnswer: 758716200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 39*u - 1540. What is the highest common factor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695 divided by 13395?\nAnswer: -139\/2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhf when three letters picked without replacement from {h: 6, f: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 0, -4*t + 3*q + 572 - 203 = 0. Calculate the highest common factor of t and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8641.\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -50190?\nAnswer: 50195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 4*a + 6, -a - a = -5*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -71 + (132 - 76) - (-51 - -2)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**4\/17 - 894*l**3\/17 - 19706*l**2\/17 + 12510*l\/17 + 8100\/17 = 0. Calculate l.\nAnswer: -45, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkkkkkkkkkkkok?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 444530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13480 is divided by 91.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/13 - 719\/130. Let f = 79 + -45. Find the common denominator of j and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -37. Which is the nearest to 1? (a) -2 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6*d + 12. Let g(p) be the second derivative of -p**3 - p**2 + p. Let k be g(d). Solve -2*q - 23 = 3*i - 9, 5*i = -2*q - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 + 143900*h**3\/9 - 143912*h**2 + 431748*h - 431754.\nAnswer: 2*(h - 3)**3*(h + 71959)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 16*a**2 - 17*a + 15. Let r be z(-17). Suppose 12*v = r*v - 6. Suppose 28 = 4*b - v*w - 2, -w + 55 = 5*b. Solve -3*m + 8*m + b = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12499188 by -240369.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/13 (b) -0.2 (c) 1\/6 (d) 5 (e) 0.4 (f) 42 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(3\/2)*n))\/n)\/(n*n**(7\/6)\/n)*(n\/(n**(-44)*n))\/n**(-31) assuming n is positive.\nAnswer: n**(214\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*g - 225, g + 173*r - 169*r + 66 = 0 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = -5*l + 25, -2*l - 5 = -3*a. Suppose p = -a*p + 8. Let -5*v**3 - p*v + 2*v**3 - 3*v**2 + 4*v**3 - 2*v**3 = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2240 + 2242. Let l(c) be the first derivative of 100*c - 13 + 44\/3*c**3 + c**4 + 70*c**q. Determine j so that l(j) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(1\/4)))**(-3\/37)\/(p**0*p*p**(1\/3)) assuming p is positive.\nAnswer: p**(-601\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7969 + 7974. Which is the closest to -0.9? (a) 1 (b) -78 (c) -3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.4143 rounded to 1 decimal place?\nAnswer: -101.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 131*l**2 + 25*l - 36464. Give k(129).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:08 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -18*b**3 + 2026*b**2 + 4096*b. Let w(n) = 2*n**3 - 225*n**2 - 455*n. Let p(a) = -28*w(a) - 3*x(a). Determine r so that p(r) = 0.\nAnswer: -2, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*v + 79*v - 85*v to the form c*v + s and give c.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Let w(r) = -r**3 - 2*r**2 + r. Let b be w(h). Let m be (-1 - -15)*(-3)\/b. Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2, 17\/15, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3960\/432 + (-3)\/18. Let n(a) = -a**3 - 7*a**2 + 2. Let x be n(-7). Suppose -6*b = -4*b - x. Solve 0 = -5*z - k - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51215 (base 6) in base 10?\nAnswer: -6779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21819772 and -25?\nAnswer: 21819747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.44 + 0.29. Let v = f + -0.25. Let t = -0.129 + 0.029. What is the second biggest value in t, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42244895 and 0.2.\nAnswer: 8448979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74098 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**3 - 7*y**2 + 25*y + 16. Let a be o(-7). What is a rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705617975.\nAnswer: 5, 19, 23, 339187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 2*w - 592*w**2 + 284*w**2 - 15*w**3 + 41*w**3 + 302*w**2 to r*w + u*w**2 + b + h*w**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15568*x**5 + 7773*x wrt x?\nAnswer: 311360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/20*42*(-16)\/16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12524 = -2*q, 11*q = -j + 1286 + 1240. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -48*a + 13. Let n be q(-9). Let d = 374 + -131. Suppose -5*i + 2*i + d = 3*p, -5*i + n = -5*p. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187.4 + 187. Which is the third biggest value? (a) -2 (b) x (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 1 - 3)*(-1 + 3 + 0) + 1 - 1 + 1 - 2 + 3 + 1 + 0 - 2 + 1)*(121 + 66 + 342)*(0*q + 0*q + q) + 7*q - q + q to w*q + y and give w.\nAnswer: 2123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/8 + 97*q**3\/2 - 1601*q**2\/2 + 3030*q = 0.\nAnswer: -404, 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161687, 1\/3, 3\/4, -2 in descending order.\nAnswer: 3\/4, 1\/3, -2, -161687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 10*s**2 + 435*s + 53. What is the remainder when a(-46) is divided by 1183?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 divided by -1261245\nAnswer: -203\/1261245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + c - 2. Let n be r(1). Suppose 4*w - 20 = 0, 4*w + n = 3*d - 83. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(5\/6)*k)\/k*k**(-19) assuming k is positive.\nAnswer: k**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*k - k - 4, -2*k = 0. Solve 0*i - q = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103435.\nAnswer: 5, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215373.\nAnswer: 3, 17, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d - 71 - 158 = 17. Factor 0 + 0*f - 2\/11*f**2 - 6\/11*f**d - 6\/11*f**4 - 2\/11*f**5.\nAnswer: -2*f**2*(f + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -8*p**2\/9 + 59614*p + 134132\/9 = 0.\nAnswer: -1\/4, 67066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymmm when four letters picked without replacement from {m: 13, y: 3}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 458.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**3 - 19*l**2 - 5*l - 9. Let i(b) = 4*b**3 - 9*b**2 - 2*b - 4. Let f(v) = -7*i(v) + 3*w(v). Let n = -15591 - -15597. What is f(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*w - 16973 = -293*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28493086?\nAnswer: 2, 3083, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94559 by -94559.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26959 - 4451 + 19631 - 603 - 3898 + 4554)*(k**3 + 0 + 0) to x*k + f*k**3 + n*k**2 + d and give f.\nAnswer: 42192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19843047?\nAnswer: 3, 7, 29, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 2*o = -3*m - 14, -4*m + 12 = 4*o. Suppose 3*y = 4*y + 5*b - 3071, -m = -2*b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 5\/37, 0.3, 0.2?\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:35 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*f*w*y - f*w - 214*f*y - 3*f - w*y - 56*w - 1158*y wrt f?\nAnswer: 17*w*y - w - 214*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**11)**(-4)\/(g*g*g**(-8))**(-41))**(1\/20) assuming g is positive.\nAnswer: g**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -29 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12924200 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*l**5 + 32*l**5 + 3*l**5 + (2*l - 2*l + l)*(-5*l**2 + 5*l**2 - 6*l**4) - 2*l**5 + 2*l**5 - 3*l**5 + (-l**2 + l**2 - l**2)*(-l**3 + 2*l**3 + l**3).\nAnswer: 45*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpd when three letters picked without replacement from idxdpx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-9)\/27 + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q. Let b be y(-1). Suppose 4*v - 3 - b = 0. Suppose 4*h + 2*w - 28 = -h, 28 = v*h + 3*w. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 4307?\nAnswer: -50\/4307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, l: 1, b: 4, k: 1, t: 2}. What is prob of sequence mb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(1\/55)\/u))\/u*u)\/u**(-36) assuming u is positive.\nAnswer: u**(2089\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 29*g + 29. Calculate the remainder when 743 is divided by i(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:54 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**3 + 702*y**2 - 14920*y - 3774 = 0. Calculate y.\nAnswer: -1\/4, 37, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 220701 (base 8) in base 4?\nAnswer: 102013001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/15)\/(1 - (-12)\/(-9)). Let x = 7 - 12. Which is the smallest value? (a) 1 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 445154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 49. Suppose -l*i + 0*i = -304. Suppose -2*c + 40 = -5*z, c + z - 4*z = i. Solve -4*o + 5*j = o - c, 3*j + 9 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 10*l**2 - 3*l - 21. Let q be x(-10). Suppose 0 = q*b - 5*b - 40. Suppose 3*z - b = z. What is the greatest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 481? (a) -2 (b) -14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110000001010110111010 - -101?\nAnswer: -11101110000001010110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6747 times 5\nAnswer: 33735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2, 0.2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**30*(a**1)**(2\/79) assuming a is positive.\nAnswer: a**(-2368\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 + 4 = 0. Suppose 5*s - 110 = -5*d, s - 2 = -0*s. Suppose 3*r - d = -r. Solve h*t + 4*i = -4, -5 = -r*t + 5*i - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 7*a + 279, 4*f + 4*a - 13 = 2*a + 77 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/6 - 5*t**3\/6 - 3*t**2\/2 - 2*t + 30. Let n(y) be the first derivative of u(y). Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2223?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - -277. Let l = z + -305.9577. What is l rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 50*v**2 + 73*v + 360. What is the least common multiple of h(-6) and 6314?\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 249 + 993*v**2 - 998*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 15124164?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 2, g: 4, x: 5}. Give prob of picking 1 q and 3 g.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 28856672.\nAnswer: 86570016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 243 + 68 = 0. Suppose -9*q - f = -14*q. Suppose 8*h = -q*h. Solve -2*b + 4*j + 24 = 0, -24 = -4*b - h*j + 2*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10932.4 less than 1.9?\nAnswer: 10934.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = o, 29 = 5*c - 0*o - 2*o. Suppose -c*v + 147 = -119. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:32 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -145 + 3*g**2 - 145 + 290. Let n(h) = -6*h**2. What is n(j(z))?\nAnswer: -54*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2279 - -3798. What is the highest common divisor of 147 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.207976m in micrometers?\nAnswer: 1207976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f**2. Suppose 0*n - 5 = n - 2*t, -3*n = -t. Let g be 6*(-2 + 3)*n. Let x(l) = -g*l - 3*l + 7*l. Determine h(x(z)).\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*i + c - 5, -3 = -3*i - 4*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -179*v + 441 wrt v?\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -4\/39 (c) -0.7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -14. Let a = f + 16. Let o(n) = -n**3 + 7*n**2 + n - 3. What is the units digit of o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -802b + -6?\nAnswer: -8033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -100*c**2. Let u(t) = 2*t + 6*t - 16*t + 7*t. Determine y(u(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 32354136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042805719 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 610009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4118 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252 is divided by 229?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 469 and 84.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1159\/46360*(-16)\/10\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let a(t) = 5*t + 15. Let q = -7902 - -7908. What is q*m(h) + a(h)?\nAnswer: -h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1492, 6987, 21908, 50965, 98868, 170327, 270052?\n\"Answer: 785*h**3 + 3*h**2 - 9*h + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(6)\/sqrt(3)*-6.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 3137379813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:59 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*h - 84. Suppose h*u = 11*u + 12. Solve -4*a = 5*w + 28, u*a + w + 24 = -3*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 70*f = 33*f + 234 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 12. Let i be c(10). Let r(w) = 6*w**2 - 3*w + 2. Let m be r(i). Suppose 7*t - 2*t - m = 0. Solve 2*h + 2*h = -2*o - 2, t*o = 3*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.5. Let l = -0.1 + 0. Let v = l - -0.2. Which is the third smallest value? (a) -0.5 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (600\/(-20))\/10 + (1135 - 2) is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 375*t. Let y(c) = -5*c**2 + 3*c. Calculate y(v(d)).\nAnswer: -703125*d**2 + 1125*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -11*v**4\/12 + 5*v**3\/6 + 2*v**2 + 4*v. Let q be a(-8). What is q rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207588324.\nAnswer: 2, 3, 267299027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 + -3 - (-43 + 5 + 43)) + -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m - 32. Let c be v(7). Suppose -g + 269 - c = 0. Calculate the remainder when g is divided by 72.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*a**2\/7 - 348288*a\/7 - 57420.\nAnswer: 4*(a - 6699)*(13*a + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*r**2 + 1601*r**5 + 47*r**2 - 17*r**2 - 13*r**2 - 1527*r wrt r?\nAnswer: 32020*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*a + 76*a - 2*z = -16, 26*z - 18 = -3*a + 24*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 4*m**3\/9 + 490*m**2\/3 + 976*m\/3 + 1013. Find o, given that f(o) = 0.\nAnswer: -244, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*q + 245*q**2 - 5*q**3 - 156*q - 19 - 246*q**2 + 20 to j*q**2 + u*q + d + x*q**3 and give u.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d + 72*d + 118*d)*(-4 + 4 - d) + 6*d**2 - d**2 + 0*d**2 + (1 - 5 + 5)*(3*d**2 + d**2 - 2*d**2) + 0*d**2 + 0*d**2 + 2*d**2.\nAnswer: -150*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -39, -51, -55, -45, -15?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33015196 and 12.\nAnswer: 99045588","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72853 - 45113. Is h a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1388 = 3*z - 482. Let g = z - -306. Solve -4*a = g*o - 0 + 4, -3*o + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 30. Let a(c) = 2*c + 2*c + 5*c - 6*c. Calculate t(a(d)).\nAnswer: -3*d - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 2, o: 1, i: 3, x: 2, g: 10}. What is prob of sequence ng?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 4*a + 49*a.\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*170\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 631 - 628. Suppose -g = 4*i + 15, -3*g - 24 = 4*i + g. Let w = 5 + i. What is the least common multiple of z and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 22*r**3 - 4*r**2 - 5*r + 2. Let k(i) = 24*i**3 - 6*i**2 - 6*i + 3. What is -4*k(l) + 6*y(l)?\nAnswer: 36*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1561 + 1572. Let y be m - (-4 + 2 - -10). Factor 5\/4*w - 1\/2*w**2 + 1\/2 - 5\/4*w**y.\nAnswer: -(w - 1)*(w + 1)*(5*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtg when three letters picked without replacement from tkdvgkld?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*f - 1352 = 107*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 15*o**2 + 16*o + 8. Let r be c(-16). What is the greatest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 69. Let u(w) = -w**3 - 6*w**2 - 5*w + 4. Let p be u(-5). Calculate the highest common divisor of p and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkvrblbsvvkv. Give prob of sequence rv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 108. Give q(0).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 0*z + 8*z)*(-2*z + z + 3*z) + (0*z + 5*z - 6*z)*(2*z + z - 4*z).\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 14 = 2*i, -18*m + 16*m - 4*i + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/34*-1 + 118\/1003. Suppose -2*l + z*n = -40, n + 64 = 5*l + 5*n. What is the smallest common multiple of 20 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/7)\/(-2) + -2. Let m = -334\/7 - -48. What is the nearest to j in 0.5, m, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w, 2*w - 234 = -3*t - w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - 1 - (-19 - 1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 23 = -3*v, 10453*q + 2*v = 10457*q + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004088019 to seven decimal places.\nAnswer: -0.0004088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -39b0?\nAnswer: -39ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/((-12)\/(-320)). Suppose 3*m + p + 9 = s, -2*m - 2*p + 14 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + 17 - (4 + (10 - (5 - -2))).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -125216*b - 625457. Determine z(-5).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 + 2*m**2 + m. Let o = 30 + -31. Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*h + 230*h + 166*h - 722*h + 157*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 - 7985*m**2 - 1787435*m - 8738175 = 0. Calculate m.\nAnswer: -1329, -263, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {j: 1, a: 1, w: 1, r: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-97755)\/(-171))\/(-49))\/(1\/(-3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = z. Suppose 60 = 3*a + z. What is the greatest common divisor of a and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9*3\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4304054 (base 7) in base 15?\nAnswer: -a4bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - j = -14, -627*l = -641*l + 5*j - 46 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16727127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**5 + 1\/4*a**4 + 0*a**3 + 255 - 223\/2*a**2 + 17\/2*a**6 + 0*a. Find the second derivative of j(t) wrt t.\nAnswer: 1020*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2))**2 + -5 + ((-2*sqrt(35))\/sqrt(7))**2 - (5*sqrt(60))\/sqrt(3).\nAnswer: -10*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.66115049 rounded to 1 decimal place?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -57, -75, -87, -93, -93, -87?\n\"Answer: 3*a**2 - 33*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 12*c - 39)*(-2*c - 5*c + 2*c).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -7 - (-5 + 4 + (-17 - 3 - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31\/2 + 15. What is the nearest to d in 0.5, 3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let b be (-55)\/(-4) + v\/(-4). Let x = 49 + -35. What is the greatest common factor of b and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1208157 divided by 3.\nAnswer: -402719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.73 + 0.02. Let w = 3 - 1.7. Let a = w - r. What is a rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1408)*-4*-1 + sqrt(1408))\/(sqrt(121)\/((sqrt(308)\/sqrt(7))\/sqrt(4))).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 18, 69, 172, 345, 606, 973?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3 - 6*p**2 - 3*p + 5*p**2 + p + 0*p. Suppose n + 1 = d, -2*n = 8*d - 5*d - 13. Give c(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20453 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -0*l - 2*l + 6, -2*l = 2*m - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*a - 1256, 0 = 3*m - 0*m - 5*a - 744. Suppose 153*x - 343 = 1340. Calculate the highest common factor of m and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 0, -5*s + 3*q = 6*q - 69. Let z be 110\/(-825) - (-47)\/s. Factor -1\/9*a**z - 2\/9*a + 0 + 1\/3*a**2.\nAnswer: -a*(a - 2)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + ((5 + 2 + sqrt(1377))*2 - ((sqrt(1377) - (sqrt(1377) + sqrt(1377)*-1)) + 0 + 5)))**2.\nAnswer: 162*sqrt(17) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 986.1272 tonnes?\nAnswer: 986127200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 3*d)*(-5 + 5 + 2) + 3*d + d - 2*d + d - 4*d + 2*d - d - 437 - 3*d + 431.\nAnswer: d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 0 + 18 + (-8 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + s + 2 - 7)*(1 + 2*s - 1 + (3 - 2 + 0)*(3 + 2*s - 3) + 3 - 3 - s + 2 - 2 + 2*s).\nAnswer: 5*s**2 - 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1444*l + 239. Is s(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -143\/2 (b) 5 (c) 2\/5 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*p + 10817 - 9803 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**2\/2 + 2*x - 7. Let a be m(5). Suppose -a*i = -8*i - 370. What is i rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 11*u + 11. Suppose 0 = 3*t + 4 - 70. Let f(s) = 21*s + 38*s - 58*s + 7. Let m(j) = 2. Let p(b) = -f(b) + 3*m(b). Give t*p(q) + 2*i(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -368, -2 in decreasing order.\nAnswer: 5, -2, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 106. Solve -6*u - p - 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 101 + 41 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6456 + -3?\nAnswer: -6459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -84, -201, -374, -609, -912, -1289?\n\"Answer: -j**3 - 19*j**2 - 3*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -155 - 3*c + 190 - 17*c. Does 39 divide r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6*c - 60 = 0, 0 = -256124*q + 256121*q + 5*c + 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40123446 is divided by 40123424?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 + 3 = 0. Let c be 2\/(-2) + 0\/(-1). Put o, c, -4 in descending order.\nAnswer: o, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b45 - 172?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4))\/(l*l**(-6)))**(-9\/4) assuming l is positive.\nAnswer: l**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 62. Suppose -5*l - 4 = -i - 8*l, -5*l = c*i - 50. Let w(y) = -y - 1. Calculate the smallest common multiple of w(-4) and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j**2 + 24*j**2 - 85*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1101*w**3 - 8478*w**2 + 3. Let i(k) = 8809*k**3 - 67797*k**2 + 25. Let t(x) = -3*i(x) + 25*z(x). Find the third derivative of t(n) wrt n.\nAnswer: 6588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 - 9*z + 1. Let k be c(2). Sort 4, -0.35, k, -2\/7.\nAnswer: -0.35, -2\/7, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01289 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 < -399\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + 2 + (sqrt(245) - (-3 + sqrt(245))*-2) + sqrt(245))**2)*-3.\nAnswer: -11751 - 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 4, m: 1, p: 2}. What is prob of sequence pnnp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 614 = 3*h - h, k - 4 = 0. Let q = h - 298. Solve 4*n - 1 = -q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let b(q) be the second derivative of -2*q**3\/3 + 28*q. Calculate b(d(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3309590*p**3*t + 5*p**2*t**2 - 8251*p*t**2 - 3938*p*t wrt p.\nAnswer: -19857540*p*t + 10*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -111\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y + 10 + 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:21 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133229 + 133233. Find r, given that -5\/2*r - 25\/4*r**2 - 5\/4*r**k + 0 - 5*r**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986 - 149 = 222*c - 1827 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -5 in increasing order.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 23*j - 235. Suppose 3*p - 43 = 2*p. What is the remainder when p is divided by f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 62.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3759955 is divided by 983?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86421.701335 - -649195.99866. Let z = -735616 + m. Let g = z + -1.7. What is g rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-546)\/1274*14\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and (3*(-40)\/(-25))\/((-10)\/(-75))?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 444208.9, -4, -5 in increasing order.\nAnswer: -5, -4, 444208.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-81)*-9)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Let b(h) = 5*h**2 - h. Let a(g) = -21*g**2 + 9*g - 2. Let o(s) = a(s) + 4*b(s). Determine o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/1*318\/265. Let r be (-1088)\/(-26) - 2\/(-13). Let a = r + c. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 12*y - 17. Give b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(56) - sqrt(56))\/sqrt(8) + 5).\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(2\/21))*j**(-6)*j**(-23)*j\/j**30 assuming j is positive.\nAnswer: j**(-1220\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 304 = 4*n, 3*t - 224 = -3*n + 2*t. Suppose p - n = 41. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let x(a) = -29*a - 31*a + 68*a + 2*a**2. Determine 24*r(t) + 3*x(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 3*m**2 + 2*m. Suppose -775 = -9*w - 784. Determine q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.09 (b) 7 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b = 2, n + 3*n + 2*b = 14. Suppose 3*r + l = -5 - 2, 3*r + n*l + 9 = 0. Suppose 0 = -f + 5*f. Put 3, f, r in decreasing order.\nAnswer: 3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5\/2, 4, -1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0 + 32\/3*s**3 - 10*s + 0*s**2. Is w(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.2 - -0.2. What is the nearest to -2\/5 in -2, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = f - 2*f - 2*d, -32 = -f + 2*d. What is the lowest common multiple of f and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.1 plus -2860056?\nAnswer: -2859959.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 10*i - 13, 5*l = -i + 1715822 - 1715781 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-66)\/(-10))*4\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/3 - 2045596*j**2\/15 + 163648*j\/3 = 0. Calculate j.\nAnswer: -204560, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 89. Let j = 14.9947 - z. What is j rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 206 = -11*c. Calculate the highest common divisor of 369 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*w = 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 8*y**2 + y + 4. Give f(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.08 + 0.08. Let i = 3\/8551 - 4292617\/42755. Let f = -100 - i. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49504 and 223408.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1420120 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12557.1 + -12557. Which is the smallest value? (a) -2 (b) 5 (c) 0.7 (d) 25 (e) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47455 is divided by 537.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861665 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (51\/6)\/(1\/2). Suppose g - q = 6. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 26*g - 520. What is the remainder when w(-21) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**7\/560 - 11*v**6\/1440 - v**5\/120 - v**4\/6 - 19*v. Let t(j) be the third derivative of u(j). Factor t(b).\nAnswer: -(b + 1)*(9*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 142.999535. What is m rounded to 5 decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - i, 0 = -0*t - 3*t - 5*i + 20. What is the first derivative of -2*f**2 - 2 + 0 + t*f**2 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17615622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 5*a + 51. Let v be j(18). Let m = 26039\/33 - v. Is 1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = g - 15, 0 = -2*l - 5*g + 15. Let f be (-7 - (l - 6)) + 6. Suppose -2*v = -4*v - 154. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9215.291 millilitres?\nAnswer: 9.215291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**6)\/((i**(2\/3)\/i)\/i))\/(i\/i**2*i*i*i**(-3\/7)) assuming i is positive.\nAnswer: i**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -4 (c) -93 (d) 1\/3 (e) 58\/9 (f) -1\/3 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1711 - 1710.9. What is the fourth biggest value in n, 2\/5, -31, -2\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(16)\/(sqrt(64)\/sqrt(2)))**2 + ((0 + sqrt(32) + -1)*2)**2.\nAnswer: -32*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**5 - 10*b**4 - 16*b**3 - 4*b. Let o(m) = 7*m**5 + 21*m**4 + 34*m**3 + 10*m. Let g(h) = 15*f(h) + 6*o(h). Factor g(w).\nAnswer: -3*w**3*(w + 2)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioiu when four letters picked without replacement from {o: 2, i: 6, u: 9}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(51)\/sqrt(3) + -1 + -5)**2.\nAnswer: 60*sqrt(17) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1068?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 251\/(-3514)*4\/3. Let f = 1.85 - 3.88. Let o = 0.03 + f. What is the second biggest value in o, 5, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = v, -5*v + 18 = 2*b - b. Suppose -b*s - 2*s = -20. Put 1, s, -2, -5 in decreasing order.\nAnswer: s, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13081 and 8128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 + 4*a**2 + 2*a - 1. Let z(w) = -10*w**3 + 9*w**2 + 4*w - 3. Let r(o) = 5*l(o) - 2*z(o). Is r(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h - 60*h = 205*h + 114*h + 15264 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.6291 minutes in milliseconds?\nAnswer: 28477746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhthhhhev. Give prob of picking 2 v and 1 h.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 3*m + 2. Let x be z(3). Let t be (-2 - 0)\/(x\/(-277)). Suppose -5*w + 288 = -t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 5, o: 2, x: 7, u: 3}. Give prob of picking 1 d and 1 x.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5512667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**2. Let g(d) = -85*d - 57. Give g(m(q)).\nAnswer: -680*q**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Suppose 9*r - 18 = w*r + o, 5*r = -5*o. Suppose r*j = 66 + 129. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/28)\/((-1)\/4). Let v = r + 0. Suppose -d = -v - 2. What is the least common multiple of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12)*6\/1. Factor -4*u + 3 - 3 - 2*u**w.\nAnswer: -2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f, l = -3*l + 5*f + 8. Let q(o) = 3 + 0*o**2 + 2*o**l - 4*o + 0*o**2 - 5*o**2 + o**3. What is q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 + 85. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -149*v - 861. Let r be j(-6). Solve 0 = -r*s + 34*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28605 divided by 16531?\nAnswer: 28605\/16531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9040*p - 141245 - 520527 = -92252 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(7*n - 2*n + 3*n) - 21*n - 28 + 28 + 6*n + 7 - 7 in the form m + g*n and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68648257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -299*z**3 + z**2. What are the prime factors of w(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**4 + 16*r**3 - 56*r**2 + 12*r + 12. Let p(a) = -a**2 - a + 1. Let x be ((8\/6)\/(1\/(-9)))\/1. Let m(g) = x*p(g) + w(g). Find t, given that m(t) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 34 - 36 = 4*x, x + 4*s = 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001111111100101100001110 - -1?\nAnswer: 1010001111111100101100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 222.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 9*k - 12. Let o be l(-11). Is o\/(100\/92 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079677748 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*w = -146*w + x - 1, 4*w - 2*x = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2. Let j(u) = -24*u**2 - 10*u - 11. Let a(p) = -j(p) + 5*k(p). What is a(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 9 = t + t, 10*l = -5*t - 45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, 1808 in decreasing order.\nAnswer: 1808, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.7435 hours in seconds?\nAnswer: 333876.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 30*u + 206. Calculate m(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let h(z) = -2*z. What is 5*h(b) + 8*q(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*w - 2612 = 0, 4*w - 12 = w. Suppose q - 3*t + 1300 = 5*q, 2*q + 2*t - v = 0. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -40*i**2 + 36*i. Let b(j) = j**2 - j. Suppose -640 = -4*x + 24. Let v = 168 - x. Calculate v*f(c) + 72*b(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9308319, -9308371, -9308423, -9308475, -9308527, -9308579?\n\"Answer: -52*q - 9308267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*b - 273611, -b + 87156 + 186470 = 3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4\/139 (b) 0.3 (c) -2152\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34005407 - -3?\nAnswer: -34005404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*t - 21, 0 = -3*j - j + 2*t + 6. Solve 0 = -4*i + 3*x + 17, j*x = -2*i - 2*x + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 0.25, -113, -1\/9, -4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77393 is divided by 105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*n - 14 - 11, 3*u = 2*n - 10. Is 13 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -0.09, -0.5, 20\/3 in decreasing order.\nAnswer: 20\/3, 2, -0.09, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - 30 = 0. Calculate the lowest common multiple of 22 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 11*q**2 + 5*q - 3. Let k be c(11). Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 + -55. Suppose 6*a + 303 = 459. Calculate the highest common factor of a and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1 - 3*b**2 - 10*b + 4*b**2 - 9 + 1. Calculate r(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b**3 + 3*b**5 + 129*b**4 + 6*b**4 + 7*b**5 + 21*b**3 - 5*b**5 - 135*b**2 = 0 for b.\nAnswer: -27, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32851 is divided by 824?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5858969?\nAnswer: 31, 188999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*((1312 - 128*v - 1312)*(2*v - 5*v + 2*v) + v**2 + 0*v**2 - 3*v**2).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(19) - (sqrt(19) + -2)) + sqrt(57)\/sqrt(3)*-5.\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/24 + 24*x**2. Let k(d) = 17*d + 2. Calculate h(k(c)).\nAnswer: -17*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 413632103 to the nearest 100000.\nAnswer: 413600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 403347 + -183926353\/456. What is the common denominator of -41\/108 and q?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*i = -21 - 29, 2*v - 20 = -2*i. Calculate the remainder when 19 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**6\/120 - l**4\/24 + l**3\/3 - 3*l. Let y(c) be the second derivative of j(c). What is the derivative of y(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = p + 2*p - 29, -3*p = -2*v - 22. Calculate the remainder when 16 is divided by p\/12 - (-10)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmk when three letters picked without replacement from {k: 1, d: 1, r: 2, n: 1, m: 1, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 136. Solve 3*s - w = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -97*x + 1257. What is a(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ivfikyvd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let m(g) = -2 - g + j + 2*g. Let v = -319 + 324. Calculate m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o. Suppose -3*g + 18 = -0*g. Let m(d) = -15*d - 2*d**2 + g*d + 9*d. What is m(i(t))?\nAnswer: -392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (-8 + 14))*(1 + 93). What is the highest common factor of 118 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a + b + 3, -15 = -3*b. Suppose 0 = 2*l + 4*w - 8, 2*w + 2 = a*l + 3*w. Which is greater: -2\/45 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(189)*-3 - sqrt(189)))\/(sqrt(56)\/(sqrt(24)\/sqrt(3))*6).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(430*l + 419*l - 637*l).\nAnswer: 212*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3234 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 0 + 7*h - 2*h - 17*h**2 + 5. Let d(n) = -8*n**2 + 2*n + 2. Let p(s) = 2*c(s) - 5*d(s). Let m(r) = 2*r. Determine p(m(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 3389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22310, 44706, 67102, 89498, 111894, 134290?\n\"Answer: 22396*p - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -4*p, 0*p + 5*p = 2*i - 19*i + 139 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 12259.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19826.\nAnswer: 2, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5134*m - 1096. Does 24 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 312 = -28*d. Suppose 18 = d*l - 15*l. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -195?\nAnswer: -3315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 19937056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 66 = 31 + 143 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*g. Suppose 0 = g*a - 181 - 65. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3419718, -0.2, -4?\nAnswer: -3419718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 4*m - m - 35 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3260 + 4?\nAnswer: -3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -16, 3*g - 2 = -i + 4. Let x be (-2325)\/(-20) - i\/8. Suppose -5*u + 4*p = -173, u + 2*p - x = -2*u. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 204 (b) 4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 780270*j - 780270*j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100037 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 11*z - 19. Let w be j(8). Suppose f + 4*k + 1 = -7, 0 = k. Let i = w + f. Is -3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85406332 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158925.\nAnswer: 3, 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 94*c**4 + 3001*c**3 + 37224*c**2 + 156816*c.\nAnswer: c*(c + 11)**2*(c + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165546604 is divided by 1005.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06586 and 1406.\nAnswer: 92.59916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(2) - (3*sqrt(128) + sqrt(2) - sqrt(2))))\/(-3*(sqrt(7)*1 + sqrt(7) - sqrt(7)) - sqrt(21)\/sqrt(12))*-5.\nAnswer: -10*sqrt(7)\/161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:05 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8314 and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4329 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1884296148335 + 3?\nAnswer: 3.1884296148335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406*b - 1923*b = 145*b - 187596 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*d + 220 = -354*d + 173*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35446565 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 1, n: 2, s: 6, u: 2}. Give prob of sequence unnr.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*m = -4*r + 377, -1975 = -5*r - 3*m. Suppose 0 = -5*f, 4*f + 0*f = -4*x + r. What is the greatest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 2, s: 8, a: 1, c: 2, o: 1}. Give prob of sequence taso.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4\/2 - 561*x**3 + 63587*x**2\/2 - 376218*x - 155610 = 0. Calculate x.\nAnswer: -273, -2\/5, 19, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 46. Solve 2 = 5*v + i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(13 + (-516)\/(-108)*-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 57\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3168 * 2449.2\nAnswer: 7759065.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n. Let z(o) = -705*o**2 - 370*o + 5. Let k(v) = 5992*v**2 + 3108*v - 42. Let x(p) = 5*k(p) + 42*z(p). What is s(x(a))?\nAnswer: -3500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28025 is divided by 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n*w + 18939*n + 29768*w - 1 wrt w?\nAnswer: -2*n + 29768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a + 14 - 14 + 28*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -718, -1713, -2762, -3865, -5022, -6233?\n\"Answer: -27*r**2 - 914*r + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/25)\/(18\/(-450)). Let s(d) = 4*d + 10. Let n(t) be the first derivative of -t - 1. What is b*n(o) - s(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 + q**2 - 2*q + 194. Let m = 1 - 34. Let k(p) = -5*p**2 - 11*p + 11. Give m*w(d) - 6*k(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -38 + 29 + -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/((-1)\/(-2)). Suppose k = n + 3, -5*v + 48 = 2*k. Let p = v + -5. What is the lowest common multiple of p and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:28 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 4*z + 19*z)*(2*z - 5*z + 2*z)*(-z + 5*z - 2*z).\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 33\/6)*(-2 - -10). Let t be 15\/g*(0 - -4). Suppose -2*s = -4*a - 200, s = 2*s - t*a - 96. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 16) to base 11.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 7*p - 9*p + 10*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, e: 8, w: 3}. What is prob of picking 2 s and 1 w?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(5 - 3 - 1)*(-k + 1 - 1)*(5 - 1 - 2).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216943*z**3 + 257064*z**2.\nAnswer: -1301658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 18*p + 40. What is the remainder when 15 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 5*z + 2*y - 12, 2*y = z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*s - 9. Calculate the greatest common factor of 66 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1146 + -147835\/129. Let n be ((-6)\/2)\/(129\/(-158)). Let u = n + c. Sort u, -3, -1\/4 in decreasing order.\nAnswer: u, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.472561 and -15141.52.\nAnswer: -15141.047439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 1. Let d be w(1). Suppose -b + d = a + 2*b, -3*b = -4*a + 76. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.3, -5\/2, 2\/19, 1\/16, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-38)\/(14250\/165)*130\/4 - 7?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:02 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i + 20. Determine f(-12).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttb when three letters picked without replacement from {s: 4, t: 2, b: 4, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:43 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135663 = 24*r - 135447 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202087740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaoodpi. What is prob of sequence apui?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhourn. Give prob of sequence hn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9324 divided by -63\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 133223310 (base 5) to base 2\nAnswer: 10100101111110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3 + 20*b**2 + 9*b - 180 = 0.\nAnswer: -3, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011110011 - 1010?\nAnswer: 111011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -0. Let r(c) = 2 - 2 + c**2 + 2 + 3. Let p be r(0). Sort -3, n, p in descending order.\nAnswer: p, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6817579613*o**3 - 6817579611*o**3 + 2*o**2 - 2*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let t be i(-1). Suppose -4*a + t = 13. Put -1, 3, a in increasing order.\nAnswer: a, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4945229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l - 4*t - 20, -l + t + 5 = 0. Let x = 5 - l. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 - 159. Let l = 5 + -16. Let a = l + v. Solve -d = a*i + 3 - 12, 2*d + 2*i - 10 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 - 2*b**3\/3 + 3*b**2\/2 + 2*b. Let m be r(5). Suppose -3*c - k + 5*k = -16, -2*c - m = 2*k. Solve c*q - q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -3. Let u(s) = 10*s**2 - 4*s + 7. Is u(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + r**2 - r**2 + 206*r**5 + 157*r**5 + 178*r**5 + (r - r**2 - r)*(r**3 + r**3 - 3*r**3).\nAnswer: 539*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 948727943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110 - 2221011?\nAnswer: -2202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -351b (base 14) in base 5?\nAnswer: -243422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73500 and 42.\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3 + 4*o - o - 4. Let l be p(7). Suppose 2*s - l = -2*s. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201805123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 72*n + 78 = 1268 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 2*l - 3 - 4 + 0. Let y be j(7). Let x(f) = -f + 7. Let s be x(y). Solve q + 2*q = s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t - 9. Let l be u(-4). Let f be (-1 + l\/3)*-1. Let q(r) = r**2 - r - 3. What is q(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10068 + 4 - 12)*((-2)\/(-4))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*z + 1\/4*z**2 + 0.\nAnswer: z*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3294 - 2307229.\nAnswer: -2307234.3294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1648 = -8*w + 2232. What are the prime factors of w?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by (-2*18\/(-15))\/(12\/30).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 - -172. Suppose s*h + h = -1792. Which is smaller: -223 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o - 54 = 3*p, 0 = 4*o - 2*p - 44. Suppose 4*q - o = q. What is the greatest common divisor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -34*h + 2. Let d(r) be the third derivative of 85*r**4\/12 - 11*r**3\/6 + 294*r**2. Calculate -2*d(b) - 11*z(b).\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 34 = 5*i - 32, 0 = 4*i + 2*s - 32. Calculate the greatest common divisor of i and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -270.97. Let z = -0.03 - m. Suppose -25*v = -27*v - 2*o - 14, -3*o + 115 = -5*v. What is the closest to 1 in z, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -1, -90, 1, 7.3, -6 in descending order.\nAnswer: 7.3, 1, 4\/7, -1, -6, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 27*i - 30*i + 3 + 0*i**2)*(-2*i - i + 2*i).\nAnswer: i**3 + 3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8757.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174405 and 1695126?\nAnswer: 652623510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45195110 by 395.\nAnswer: 114418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 20*s - 64. Give g(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:09 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 43 - 55 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/w**(-1\/3)))\/(w\/(w*w**(-5)))*w**(-2\/11)\/w**3)**16)**(-50) assuming w is positive.\nAnswer: w**(198400\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1276, 1265, 1256, 1249, 1244?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = v + 1021. Let d be (-86538)\/(-108)*34\/17. Let a = v + d. What is the common denominator of a and -73\/68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**4 - 5711808*i**3 - 2*i**2 + 154816989*i?\nAnswer: 168*i - 34270848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -16*v**3\/3 - 1755976*v**2\/3 - 877979*v - 329241 = 0.\nAnswer: -109747, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (16 - (22 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 3}. Give prob of picking 2 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d. Let p(s) = -20*s - 12. Let b(a) = 8*a + 5. Let z(i) = 12*b(i) + 5*p(i). Calculate q(z(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 534 + -1384. What is k rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = o, 13*o - 8 = 14*o - 2*x. What is the second smallest value in -0.05, o, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3193 is divided by ((132\/8 - 2) + (-150)\/25)*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 - j - 3. Let l be n(-5). Suppose -5*s - v + 11 = -2*s, -2*v + l = -4*s. Solve 0 = -3*p + 5*y - 3, s*y - 18 = -2*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 104*v - 179 = 1568 + 1403 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 526\/(-3300) + (-60)\/(-360). Is 41 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 4. Calculate the remainder when p(-2) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 1, 5\/4, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3509.6 - -23.28\nAnswer: -3486.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 691*k**3 + 2*k**2 + 32*k + 29. What is m(-1)?\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*f - 105127*b**2 + 10*b*f - 4522*f + 2 wrt f?\nAnswer: -b**2 + 10*b - 4522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45284 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + ((-16)\/4 - -1). Let f be (-1 - -3 - h - 2) + 3. Suppose 8\/3*g + 6*g**4 - 4\/3*g**2 + 2\/3 - 8*g**f = 0. What is g?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose r*y + 42 = -24. Let u = -17 - y. Solve -u*c = -22 - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 286*u**9\/63 - u**5\/30 + 398*u**3\/3 - 278*u**2 + 3. Find the third derivative of y(g) wrt g.\nAnswer: 274560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 5*a + 81, -4*a - f - 59 = 0. Let p be 2\/(-2) - 21\/a. Let s = -16.02 - -13.02. What is the closest to p in s, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2839*f**2 - 1748*f + 7. Let y(u) = -1895*u**2 - 1165*u + 5. Let g(r) = -5*s(r) + 7*y(r). Find the second derivative of g(z) wrt z.\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 12*b**2 + b - 11. Is g(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -431 + 430.6. Which is the closest to 2\/5? (a) -20 (b) x (c) -3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k - 4. Let i be z(9). Suppose a - 30 = i. Is 9 a factor of (a\/10)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/123750 and 49\/125.\nAnswer: 123750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11256 + -168754\/15. What is the common denominator of v and ((-108)\/1200)\/((-24)\/(-112))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0 - 2. Let v(n) = -n + z - 2 - 5. List the prime factors of v(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5 - 149*t**4 - 1742*t**3 + 1004*t**2 + 5000*t + 2400 = 0.\nAnswer: -30, -20, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i*i*i**(-3)*(((((i\/(i\/i**(-1\/4)))\/i)\/i)\/i)\/i*i)**0)**(-33\/2) assuming i is positive.\nAnswer: i**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + -2*sqrt(187))*-1 - sqrt(187) - 2*(sqrt(187) + 2*sqrt(187)))\/(sqrt(99)\/(sqrt(18)\/sqrt(2)) - (2*sqrt(1331) - sqrt(1331))).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.72266m to millimeters.\nAnswer: 85722.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 14) to base 16.\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.395466 millennia in decades?\nAnswer: 939.5466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*p + 22, -2*i + 2*p = -p + 7. Suppose 0 = -2*z + 5*c + 24, -z - 1 + 7 = -i*c. Solve -4 = -k, -6*a + 3*k = -a + z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 - 10*y - 13. Let w be k(-5). Let d = w + 377. Calculate the greatest common divisor of d and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7316968 divided by -53\nAnswer: 138056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 2.27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010011011 - -10?\nAnswer: 10000010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 330 = -11*n. Let l be (2*6)\/((-3)\/10). Let j = l - n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -285 + 882.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-10)\/i)**(11\/3)\/((i*i**8*i)\/i**(2\/3)) assuming i is positive.\nAnswer: i**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/(4\/40). Suppose -3*l - 3*x - 3 = 0, -l + 5*x + c = -19. Suppose l*f + b - 7 = 0, 2*f + 4*b = 4*f - 26. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282759, 565512, 848263, 1131012, 1413759?\nAnswer: 1696504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 92157 + 105*p**4 - 46076 - 4*p**3 + 2*p - 46082 to w*p + o*p**4 + x*p**2 + d*p**3 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 5. Let r(x) = -5*x - 6. Let c(m) = -6*n(m) - 5*r(m). Let f(s) = -2062 - 2062 + 71*s**2 + 4124. Determine c(f(j)).\nAnswer: 71*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 442551041 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b + 5*b + 1957 = -123*b + 9854 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -616 - -3?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n + 10*n + 22*n - 118*n - 2*n**2.\nAnswer: -2*n**2 - 154*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**9\/3024 + b**6\/120 - b**3\/3 - 2*b**2. Let r(x) be the first derivative of f(x). Find the third derivative of r(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 18*h - 23*h + 11496, 20 = -5*h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxqxxxxqxqxxqqxxqx. What is prob of picking 2 x?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47158342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 397, 327, 209, 37, -195, -493?\n\"Answer: -b**3 - 18*b**2 - 9*b + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 > 24\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*n**3 - n**2 + 1079*n - 94296.\nAnswer: -90*n**2 - 2*n + 1079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.3 and 22.6.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8324598?\nAnswer: 2, 3, 1387433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 4*w**2 - 1 - 5*w**2 - 2. Let t be f(6). Suppose -t*d + 3*i - 5*i = -25, 4*d = -4*i + 36. Calculate the smallest common multiple of d and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 + 2*(-375)\/(-110). Let a(x) be the second derivative of j*x + 0 + 7\/2*x**2 + 5\/6*x**3. Differentiate a(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 44*k**2 - 3052*k - 1923. Give t(70).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558.5525 rounded to one decimal place?\nAnswer: 1558.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*o - 185 = -2*o, -x = -o - 33. Let a be (-17)\/(102\/(-24)) + (x - 2). Solve -5*t - 8 - a = -5*b, 0 = 3*b + t - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29376 is divided by 2443.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 1, j: 1, v: 1, g: 5}. What is prob of picking 2 g and 1 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86.091 - -0.391. Let a = r + 86. Let q = -60.4 - -61. What is the closest to q in 0.4, 1\/7, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 179721?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -27*w**2. Suppose 4*x - 12 = -20. Let o be (-2)\/4*(-7 - (-5 - x)). Let h(n) = n**2 + 21 - 3*n**o - 21. Calculate h(d(m)).\nAnswer: -1458*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.348 + 0.568. What is the second smallest value in 6, p, -3, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) - (sqrt(3) + (-1 + sqrt(3) + -1)**2)).\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let a(f) = 500*f**2. Determine a(i(u)).\nAnswer: 4500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(-3\/7)\/p*p*p*p*p*p)\/p)\/p)\/(p*p**1))\/((p*p**0)\/(p\/((p**(2\/3)\/p)\/p))) assuming p is positive.\nAnswer: p**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xuxs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20551*o + 20552. Calculate y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 o when three letters picked without replacement from {b: 1, q: 1, o: 1, z: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 235, 236, 237, 238, 239, 240?\n\"Answer: s + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (2 - 2)) + 7. Suppose m + 2*m - b = 2*k, 2*m + 4*k = 22. Solve -m*w + 6 = 3*j, w - 2 = -w - j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 37684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23127 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exe when three letters picked without replacement from {x: 2, e: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 387255060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.38724 months to years.\nAnswer: 7.28227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*m - 144*m + 18*m - 212565. Which is smaller: -1146 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(33)\/(sqrt(88)\/sqrt(8)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 116*(-2 - 63\/(-12)). Let c = n - 253. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -24 (b) -6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35\/24 in -2\/11, 4, 83?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34732151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10727 - -10729. Which is the closest to -1\/2? (a) -4 (b) u (c) -0.4 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + f - 4*f + 21 = 0, -2*f - 2 = 0. Let s(n) be the third derivative of n**5\/60 + 3*n**4\/8 + 5*n**3\/3 + n**2. Let w be s(z). Solve 0 = w*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 10*f**2 - 4*f + 33. What is z(-10)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42584 + 48?\nAnswer: 42610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/59267 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2 - 1 - 7*k + 6*k. Let x(b) = 2*b**2 + 7*b - 7. Let a(m) = 6*g(m) + x(m). Let r(v) be the first derivative of a(v). Give r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146622, -145496, -143620, -140994, -137618?\nAnswer: -133492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 17*r**2 - 9*r - 21. Calculate the smallest common multiple of 27 and t(15).\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 53 = 35*u + 26. Suppose 1 = -w - 3. Let z be (-2)\/(-8) - 15\/w. Which is the third smallest value? (a) z (b) -2.8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3061973509 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2662.\nAnswer: -2662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 278678 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112 - -3)*(11 + -12). What is the first derivative of -168 + 18*y**3 + 80 + 72*y**3 - u + 5*y**3 wrt y?\nAnswer: 285*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/11)*q*q)**(8\/5))**(-2\/87) assuming q is positive.\nAnswer: q**(-128\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y - 807 = -59*y - 951 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3110454 (base 6) in base 10?\nAnswer: -149218","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*v + 25 - 359, 5*v = -3*d + 558. What is the remainder when v is divided by (87\/3)\/(-1)*(4 - 5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**5 - 840*z**4 + 33789*z**3 - 496380*z**2 + 2674308*z - 2210880 = 0.\nAnswer: 1, 14, 16, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2240260 divided by -5.\nAnswer: 448052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 6319172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuizufi. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -0.3. Let q = 0.25 + 2.15. Let k = 0.6 + q. What is the nearest to 1\/4 in h, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4690?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 45. Calculate the remainder when 58 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f**2 - 19*f**2 + 13 - 6*f + 33*f**2. Is q(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -52 (b) -1\/2 (c) 0 (d) -42 (e) -14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 10)\/((-12)\/(-8)). Let r = 1910 - 1909. Let u be (9\/f*r)\/(1\/6). Solve 2*c - 2*m - m - 7 = 0, -3*c = 2*m + u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12385309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 299597 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 + 12*z + 2. Let i be b(6). Let a = -7 + 9. Solve -1 = -n - i*r, 5*n = 4*r + 3 + a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598054 or -1\/3?\nAnswer: -598054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 320*m + 6. Let f(g) = -10875*g - 203. Let p(q) = -6*f(q) - 203*t(q). Let n(y) = 2*y. Determine n(p(l)).\nAnswer: 580*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716243.\nAnswer: 11, 19, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 + -132. Suppose -46*z + g*z = 125. Which is bigger: -19 or z?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(121) + sqrt(121)))\/sqrt(11).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d - d**2 + 0*d**2 + 3*d**2 + 8 - 3*d**2. List the prime factors of q(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2368202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 743629704 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(4 + 1 + -1 + sqrt(567) + -4 + 1).\nAnswer: -45*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-8)*(-2)\/25*(-7)\/((-14)\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryryrrrrrreerr. What is prob of sequence yr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 + 2974*g\/11 + 8940\/11.\nAnswer: -2*(g - 1490)*(g + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 103634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 4*d**5\/5 + 11*d**4 + 152*d**3\/3 + 80*d**2 + 9839. Factor w(t).\nAnswer: 4*t*(t + 2)*(t + 4)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.12742445 + -15.52742217. Let c = -125 - -137.4. Let w = c + y. Round w to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 17*x**2 - 19*x + 15. What is c(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2526.5 - -2527. Sort 4, 1, c, -7 in descending order.\nAnswer: 4, 1, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2126 - 384807*h**2 + 384807*h**2 - 2244*h**4 wrt h?\nAnswer: -8976*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2018? (a) 0 (b) -1\/2 (c) 1\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let x be v(-3). Let p be (-2 - -1) + -1 + x. Suppose -2*k - u + p - 2 = 0, 5*u + 14 = -2*k. Solve -8 = 2*z - k*h, 3*z = -h - 13 + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -5.04. Let x = 5.1 + k. Which is smaller: -6 or x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/300 and -1\/150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 99*f**2 + 26964*f + 442. Determine y(-221).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 761*c + 22069. What is b(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 + 79*n - 35. Let r be q(13). Which is the third smallest value? (a) -3 (b) -4 (c) r (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -31.1?\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3854 + -3829. Calculate the remainder when 196 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**2 + 40*m**2 + 20*m**2.\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(49)\/(sqrt(168)\/sqrt(6)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -346940*a**3 + 20*a**2 + 202*a + 20. Let t be i(-10). What is t rounded to the nearest 1000000?\nAnswer: 347000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 679 - 666. Solve -15 = -18*n + a*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-18) - (0 - 1))*57798\/(-48165)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -34*n - 9. Let v = 44 + -29. Let o(x) = -2*x + 20. Let i be o(v). Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957750.\nAnswer: 2, 5, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106471166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -244952 take away 22159?\nAnswer: -267111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 174*p + 10152.\nAnswer: -3*(p - 94)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -313373 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576104663 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szszsssssssssszs. Give prob of sequence zsz.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - -2946. Is 106 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -62. Calculate the common denominator of 3\/2 and (1020\/(-64))\/(2 - w\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12\/9 - (-372848)\/84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*q + 1339*q - 4 + 445*q.\nAnswer: 1374*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**3 + 34*y**2 - 6*y + 30. Let r(j) = 3*j**3 + 11*j**2 - 2*j + 10. Let m(f) = 4*i(f) - 11*r(f). Let h be m(15). Is 8 a factor of 831\/15 + (-12)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + 0*c**2 + 9*c**2 + c - 5*c**2 - c**3 + 4. Let b(r) = r**3 - 2*r**2 + 1. Let z be b(2). Let x be 1 - (-4 - -5)\/z. Calculate k(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.470418g to kilograms.\nAnswer: 0.001470418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 780472 divided by 1267\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02567221 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 329 - 91 = -2*c, -5*c + 4*r = -1054. Let p = -191 - -86. Let k = p + c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*u**5 + 11*u**4 + 23*u - 2?\nAnswer: 180*u**3 + 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -0. Find p, given that p**2 - 7*p**m - 8*p + 8*p**3 + 5 + 6*p**3 - 1 + p**5 - 5*p**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72053*i**3 + 4*i + 4*i - 8*i - 202535*i**3.\nAnswer: -274588*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = -3*h, 2*y + 3*h = -6 + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143*u**2 - 276*u**2 - 293*u**2 - 279*u**2 - 287*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 233*l + 1868. Let j be b(-8). Suppose -c = 2*c - 12. Let g = c - -5. Solve -s = -r, 3 = 2*s - j*r + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -213. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/8)*(n*n**(1\/7))\/n)\/(n*n*n\/(n*(n*n**(-15)*n*n)\/n*n))**(2\/25))**32 assuming n is positive.\nAnswer: n**(-6172\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 - 113177*m**3\/2 - 2134820025*m**2 - 26844650169974*m + 26846785046588.\nAnswer: -(m - 1)*(m + 37726)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30016 + 33*h - 30016.\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29937916552 + -24.7.\nAnswer: -29937916576.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 = -33*i + 34*i - 3*d, 5*i - 2567 = 2*d. Solve -i*b = -521*b + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e6bc (base 15) to base 11.\nAnswer: 68756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + 4*h**4 + h**5 + (-985 + 526*h + 601*h - 1130*h)*(-4*h**4 - h**4 + 6*h**4).\nAnswer: -2*h**5 - 985*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + 4*o**2 + 15*o**2 + (7*o - 5*o + 2*o)*(7*o - 55*o - 13*o) to z*o**2 + i + g*o and give z.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**2 + 3*w**2 - 16*w**2 - 35*w**2 - 16*w**2.\nAnswer: -101*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -167, -632, -1339, -2240, -3287, -4432?\n\"Answer: 8*h**3 - 169*h**2 - 14*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 110. Suppose 0 = -3*l + 4*c + 1417, 4 = k*c - 4. What are the prime factors of l?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 430*p + 287. Let y(b) = 861*b + 573. Let v(s) = -5*w(s) + 3*y(s). What is the derivative of v(t) wrt t?\nAnswer: 433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1464\/47393 - -3\/571. Is t > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, -14, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9638 and -4611.\nAnswer: -44440818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45053 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 172*d**3 + 5843*d**2 + 138556*d + 132540.\nAnswer: (d - 94)**2*(d + 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrjrwjrww. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/51571 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*n - 6*n**2 + 3 - 51*n.\nAnswer: -6*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 35860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -761*h**4 - 32*h**3 + 100*h**2 + 9280*h + 12449?\nAnswer: -9132*h**2 - 192*h + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5055.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:29 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -51. Solve i*q = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272 plus -1.36?\nAnswer: 4270.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 6\/7, -1\/12, 3\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + w - 2 = 13*s, s = 5*w - 10. Solve 3*r + 10 = 5*c, -46*r + 43*r - 15 = s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:20 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19203*u + 36. Let i(p) = 19203*p + 30. Calculate -6*i(a) + 5*z(a).\nAnswer: -19203*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9212144 by 29.\nAnswer: -9212144\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttattatufffrturr. What is prob of picking 1 u, 1 t, and 1 f?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15446324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1303 - 2236. Let d = x - -13049\/14. Let l = 818\/39 + -225\/13. What is the common denominator of d and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -23. Is b at least as big as 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1041472 and -1041472 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -8, 0.2, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 3. Let h be n(-3). Suppose m = 2*d + 10, m + 4 = -3*d - 1. Let q be d + (-8)\/(-2) - -14. Calculate the greatest common factor of h and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 9}. Give prob of sequence xx.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 174\/609 - (8\/(-32))\/(21\/(-24)). Factor 5\/2*y**3 - 1\/2*y**4 - 9\/2*y - 3\/2*y**2 + v.\nAnswer: -y*(y - 3)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8*-0.074\nAnswer: -0.2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-16)*k)\/(k*k\/k**14)*(k\/k**10)**33 assuming k is positive.\nAnswer: k**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13230 + 112313120?\nAnswer: 112233230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*b + 19, -b - 1 + 2 = -5*a. Let i be ((-14)\/21)\/(4\/b). Let o = -122 + 1347\/11. Is i greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4. Let c(z) = -z**3 - 5*z**2 - 5*z - 3. Let g be c(-3). What is the remainder when (g - -6) + k + 0\/1 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51 - 5103.1.\nAnswer: -5102.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6760222 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 5*g**2 - 15*g + 9. Let b be i(7). Suppose -4*l + b*l - l = 0. Let t(x) = l*x**2 - 3*x**2 + 13*x**2. Let s(a) = 2*a. Give t(s(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4589586.247 rounded to the nearest ten thousand?\nAnswer: -4590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = m + 2*a + 110, -a + 404 = -4*m. Let v be (m - (-1)\/(-1))\/1. What is v rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x. Let s(d) = -d + 7. Let b be s(5). Let l(g) = 3 - b + 2*g - 1. What is j(l(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 115 = 5*a - 410, 0 = -2*a + 5*p + 103. Calculate the least common multiple of a and 28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.1 (b) 25 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 0*j**2 + 0*j**2)*(16 - 16 + j) + 27*j**3 - 3*j**3 - j**3 in the form l*j**2 + s*j**3 + b + k*j and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 21*v**2\/2 + 10*v - 172. Let q(k) = -2*k**3 - k**2 - 1. Let z be q(-2). Let f(c) = 4*c + 2. What is z*f(d) - 2*j(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -10 + 19. What are the prime factors of x\/5 - 2088\/(-45)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - -5) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r + 52*r = 40 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 at least as big as 692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27212 + -27212.5. What is the closest to 5 in -1, k, -1\/5, 30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:03 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {g: 4, t: 3, h: 1, a: 2, b: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v - 16*v + 7*v)*(1 - 3 - 11) + 3*v + 4*v - 6*v + 2 - v - 2 + (-v + 0*v + 3*v)*(-2 + 3 + 1).\nAnswer: 225*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/75839 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*r + 12, -2*m - 2*r - r = -10. Let t(g) = -g**3 - 3*g**2 + 6*g + 2. Let q be t(-4). What is the units digit of -2 + 0 - q - m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*m. What is the second derivative of -t**m - 349 + 349 + 8*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2. Let q(l) = 3*l**2 - 16*l**2 + 6*l**2. What is z(q(t))?\nAnswer: 196*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40355 - 15642. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837 = -21*a - 214*a - 29*a - 219 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-4))\/(-9))\/((-5)\/(-5))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*(-90)\/10*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 544926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(42\/(-30))*(-12)\/(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1273453 and 6062?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5139*s**2 - 56*s + 107. List the prime factors of m(2).\nAnswer: 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-25))\/4*(-2)\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.87857ug to kilograms.\nAnswer: 0.00000005187857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -55. Let s(r) = r**2 - 4*r + 2. Let k be s(i). Put -4\/9, 3\/4, k in decreasing order.\nAnswer: 3\/4, -4\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 + 11757*i\/2 - 3499326.\nAnswer: -3*(i - 3187)*(i - 732)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 27. Let p = -3 - 2. Which is the second biggest value? (a) p (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02035705 to 5 decimal places.\nAnswer: -0.02036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 416294930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78, 192, 324, 480, 666, 888?\n\"Answer: a**3 + 3*a**2 + 98*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 59 = -57. What is the remainder when 29 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, y: 2}. What is prob of picking 2 y and 1 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 7. Give l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbf when three letters picked without replacement from lbcbyytlbtctybf.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(81 + -339 + 136)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 26*k**2 + 24*k - 35. Let a be n(-25). Let c = 1 + a. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 67. Solve 5*z + 20 = 0, -5*d + 0*z - k = -2*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 110?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-3773)\/70)\/49)\/((-2992)\/80)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019810341 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from kvrlz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*b - 0. Suppose v = b*v - 175. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 2}. Give prob of sequence cc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/5 + 67082*c**4\/5 + 1125266961*c**3\/5 + 8997842952*c**2\/5 = 0?\nAnswer: -33537, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqttqttqqtttq. What is prob of picking 1 t and 1 q?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 6816 - 376. What is the highest common factor of a and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964 not equal to 3966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 - 1767*u + 32537. Give w(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3984 = -3*x - 1137. Let u = x - 943. Solve -2 + u = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -4.2 (c) 153 (d) -0.3 (e) -2 (f) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from bbiziibbzb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 7*d + 8. Let g be h(6). Let x be -5*(-2)\/((-20)\/(-6)). Suppose 5*s + 17 = 2*l + 2, -4*s - 12 = 0. Solve -x*v - g*v + 5 = l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/8*((-14)\/(-21))\/2. What is the closest to -2\/11 in 3, p, 0.1, -1\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*o - 34*o - 59*o + 1092 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 6*j**2 - 113*j - 216. What is d(-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+2110856358\nAnswer: 2110856357.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656021599?\nAnswer: 167, 9916297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 + 2319*o**5 + 2*o**3 - 638*o**2 - 3*o + 4.\nAnswer: -120*o**3 + 139140*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/n**(-5))*n\/(n**(1\/9)*n)*(n*n**0*n*n)**(-22) assuming n is positive.\nAnswer: n**(-649\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 40.3. What is the nearest to z in 0.04, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*o + 6. What are the prime factors of (3 + 941 + (-4)\/(-2))\/o?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4861280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (-4)\/(-22) + (-652)\/(-44)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125736 to the power of 1\/2, to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/21974 + -422977\/164805. Find the common denominator of y and 62\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -31. Suppose w*l - 2964 = l. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:21 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-8)\/(-6)*63\/168.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1116 or 1117?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:38 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 4208514796?\nAnswer: -4208514796.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.69 (b) 4 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/34612 and -37\/146592?\nAnswer: 2492064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s - 2*s)*(-2*s + 0*s + 3*s + (2*s + 4*s - 4*s)*(1 - 3 + 3) + 0*s - 3*s + s)*(2*s + s + 0*s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 47cb (base 13) to base 3\nAnswer: 111220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 1, d: 3, h: 5, v: 1}. Give prob of picking 1 c and 1 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*u + 16 = -37, -2*m - 5*u + 11 = 0. Let t = m + 8. Let n be (-40)\/(-24)*(t - -2). Solve w + n = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 38871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**6\/360 + h**5\/120 + h**4\/24 + 5*h**3\/3 + 2*h**2 + 11. Let q(c) be the third derivative of k(c). Give q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -423464*n**6 + 64500*n**2.\nAnswer: -50815680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(60\/(-360))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78967?\nAnswer: 7, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13037044*i**4 - 7102793*i**2 wrt i.\nAnswer: -312889056*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2483 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 15. Suppose -v - 52 = -x*v. Solve -m - 4*f + v = m, 3*m = -3*f + 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*w = 11, -13*q - 4*w = -16*q + 18. Solve q*r - 18 = -4*g - 12, 5*g = 2*r + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1577 + 133. Sort u, -3, -2 in increasing order.\nAnswer: u, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -54. Let x(r) = -r**3 - 2*r - 2. Let o be x(-4). Suppose 3*z - g = -z + o, z = 3*g + 12. What is the least common multiple of z and f?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-7)\/70*((-52)\/(-24) + -3). Which is the nearest to s? (a) -2\/7 (b) -2 (c) -1\/102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 7*h - 98. Calculate the remainder when 27 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0 + 14*g - g**3 + g**2 + 5 + 2*g**3. Suppose -60*k - 433 = -733. Let r be q(k). What is the greatest common factor of r and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + sqrt(264)*-1)\/sqrt(11))\/((sqrt(280)\/sqrt(5))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134430 is divided by 13081?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488747889, -488747888, -488747887, -488747886, -488747885?\nAnswer: -488747884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81043?\nAnswer: 81043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 3*p**4\/4 + 40*p**3 - 258*p**2 + 528*p + 389. Suppose f(t) = 0. What is t?\nAnswer: -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 2*t - 1. Let l(c) = 572*c**2 + 3*c - 1143*c**2 + 1 + 572*c**2 - 2*c**3. Determine -2*l(f) - 3*n(f).\nAnswer: -2*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 26*t - 304748817 = 0. Let y be (-4)\/(-18) + 99237611\/(-9). Let w = y - t. Round w to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 5*a + 35, -83*s + 78*s - 3*a = 23 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 4. Let f be d(-4). Suppose -5*g = -m - 29, 0 = -0*g - 2*g + 10. What is the closest to 1\/2 in 3, m, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -148, -13, 212, 527, 932?\n\"Answer: 45*r**2 - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/7976 and 61\/34.\nAnswer: 135592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6073, -12260, -18389, -24430, -30353?\nAnswer: -36128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -18, 5, 48, 111?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -55 - (-235 + 231) - (-39 - -39).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - c**2 + 7*c - 8*c.\nAnswer: 4*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let t(p) = 11*p + 3. Let b(r) = -3*k(r) + t(r). Let s(j) = -2*j. What is b(s(x))?\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by -5.\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/19 - 10448*j\/19 + 3529086\/19.\nAnswer: 2*(j - 4861)*(j - 363)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8414 + 42069\/5. Sort a, -6, 0, 0.3, -10 in descending order.\nAnswer: 0.3, 0, a, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -64ab?\nAnswer: 64a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -149.2. Sort 4, s, -12 in decreasing order.\nAnswer: 4, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925 - 934 = 2*x + h, 0 = 4*h + 4. Which is the smallest value? (a) -1 (b) -9.78 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 379, 1, 0, 22 in decreasing order.\nAnswer: 379, 22, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o + 12. Let b be t(9). Let x be -2*(b\/26 - -1). What is the biggest value in x, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = -13*d + 28*d + 330. Is d <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -5, 6, 35, 88?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 593, 1445, 2671, 4271, 6245, 8593?\nAnswer: 11315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 3 + 79*h**5 + 18*h**2 - 69*h**5 wrt h.\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:06 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 311579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-9)*v)\/v))\/(v**(-22)\/v))\/((((v\/v**(-2\/11)*v)\/v)\/v)\/v*v*((v*v*v**(-9))\/v)\/v) assuming v is positive.\nAnswer: v**(460\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1790)\/3759*(-4)\/5 - (-6)\/(-168)*6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfx when four letters picked without replacement from {h: 2, j: 1, x: 1, f: 1, i: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*3*-5*sqrt(76)*1)**2.\nAnswer: 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaarra. What is prob of sequence rra?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + 3*k - 2. Let p be t(2). Suppose p = -2*x - x + 9. Let s be (-2 - 0\/x) + 58. Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6781, -6775, -6759, -6727, -6673, -6591?\nAnswer: -6475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766732, -1533414, -2300096?\nAnswer: -3066778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 6*p**6\/25 - 12*p**5\/5 + 118*p**4\/15 - 8*p**3 + 18*p**2\/5 - 132*p. Factor h(k).\nAnswer: 4*(k - 3)**2*(3*k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*y - 7934 - 38313 = -433*y + 1486*y for y.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**5 + 230*n**4 - 5*n**3 - 2*n**2 + 15566*n - 2 wrt n?\nAnswer: -360*n**2 + 5520*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(10 + 4 + 10)*(-7*p**5 + 4*p**5 + p**5).\nAnswer: -144*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -34*r + 1. Let y = 196 - 197. What are the prime factors of h(y)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 7. Let p(s) = -s**2 - 5*s + 3. Let f be p(-5). Let n be u(f). Solve 0*i - n = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/273 - (1 - -2303)*(-24)\/208. What is the highest common factor of t and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8 - 3*p + p + 7*p**2 + 3*p**3 - 2*p**3. Let r be k(-7). Let l(j) = -722*j**2 - j - 2. Let t be l(r). What is t rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242 - -28.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2236\/78)\/(-43)*1*9*-3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 579429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 divided by 146?\nAnswer: 281\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w + 24. Let f(s) = -4*s + 34. Let l be f(7). Let h be p(l). Let x be (-60)\/16 - h\/16. Put -54, x, -2 in descending order.\nAnswer: -2, x, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/9 + 380*c**4 + 155016*c**3 + 5536196*c**2\/9 + 1381490*c\/3 = 0.\nAnswer: -1045, -661, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (64\/(-10))\/(3\/(-15)*1). Suppose 0 = 53*f - x*f - 2121. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 7*h**2 + 698*h + 56. Let u(w) = -w**3 + 4*w**2 - 348*w - 32. Calculate -4*i(c) - 7*u(c).\nAnswer: -c**3 - 356*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (53 - 43)*(-3 - ((-7)\/(-28))\/((-5)\/(-4)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2040, -3\/5, 227?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41886 - 376972\/9. Factor -4\/9 + x*p**3 + 10\/9*p - 8\/9*p**2.\nAnswer: 2*(p - 2)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from hbbaabhabbbhbbhaa.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18011 + 17976 - 53928 + 18020 - 76*y**2.\nAnswer: -76*y**2 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 781 and 40725542?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 744 divide 196638475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 9494684.\nAnswer: -9494684.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10914\/12 + (-27)\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-19 - (41 - 17 - 15))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 82*w**3 + 2*w**2 - 16*w - 16. Give q(-1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-112)*-4)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-1\/3)*n)**(-10\/3)*n**0\/(n*(n**(-6)*n)\/n) assuming n is positive.\nAnswer: n**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -1001*s**3\/2 - 8488*s. Let g(l) = -3*l**2. What is g(a(i))?\nAnswer: -27054027*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvylyu. Give prob of sequence ylvu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than or equal to -45900\/1457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925042, 3700253, 8325626, 14801161, 23126858, 33302717, 45328738?\nAnswer: 59204921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*j + 4, 0 = j - k + 6*k - 1. Let v = 6 + j. Solve 0 = -f + 3*n + 7, f + v = 3*f + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 5*p + 12. Determine n(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/36 + (-4)\/18. Put 4, -1\/4, n in descending order.\nAnswer: 4, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from fhhhhhhh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -117.1. Which is the third smallest value? (a) -3\/7 (b) -3 (c) -5.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 7*x + 199. Suppose -x = -7*p + 88. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331489, -331514, -331539, -331564?\n\"Answer: -25*j - 331464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2476017.9000045 + -2476017. Let b = m + -0.9. What is b rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + 6*n)*(3*n**3 - n**3 - 3*n**3) - n**4 - 1 + 0 - 1.\nAnswer: -8*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.05 (b) 20 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 187*n**2 - 41*n + 36. Let x be u(18). Suppose 0 = -16*q - 411886 + x. What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 4*c**2 + 2*c - 2. Let n be 12\/(-10)*20\/(-6). Let y be t(n). Calculate the greatest common factor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3 + 4 + 29*a - 13 - 2 to the form j + n*a and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21504\/13 + -1268791\/767. Calculate the common denominator of 23\/2124 and m.\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282045 = 71*v - 286944 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 5 - 11 - (1 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 78, 87, 98, 111, 126, 143?\n\"Answer: h**2 + 4*h + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -27\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/22, -0.1, -20458 in increasing order.\nAnswer: -20458, -0.1, -1\/22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -25. Calculate the highest common divisor of h and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -2. Let p(f) = f**3 + 2*f**2 - 3*f + 3. Let g be p(v). Suppose 0*n + g = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, c: 1, v: 5}. Give prob of sequence cv.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 20. Let f = -4 + k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -5*p + 0*p**2 + 0 + 1\/2*p**3. Let l(c) = -5*c. Let b(z) = 8*k(z) + 5*l(z). Let a(u) = 16*u. What is b(a(h))?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 8, 4\/5, 2 in descending order.\nAnswer: 8, 2, 4\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 9 = 3*b. Let t = -38 - -38. Let l = t - b. Solve -2*z = l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (14\/(-6))\/1. Let c = -445 - -426. Let u = c + 19. What is the biggest value in n, 1\/8, u, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36141 + -252989\/7. What is the closest to w in 3\/7, -3, -0.7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -16*y + l + 23667, -2*y + 9464 = l. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let l(o) = -2*o**2. Suppose 4*v + 30 = -5*b, -14 = 2*v + 5*b - 3*b. Let n(x) = v*r(x) + 4*l(x). Let a(t) = -89*t**2. Calculate a(n(d)).\nAnswer: -801*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u. Let f(k) = -3356 + 3356 - 4*k. Let c(g) = -10*f(g) - 6*h(g). Calculate c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -28110 (c) 0.5 (d) -3\/2 (e) 5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -119098\nAnswer: -75\/119098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (-1*(sqrt(85)*-4 + sqrt(85)) - sqrt(85)) + -4*(sqrt(85) - (sqrt(85) + sqrt(85) + -1*sqrt(85))))\/((2*sqrt(2000))\/(2*sqrt(576))).\nAnswer: 18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -768 - -773. Solve 3*n - 23 = -f*g, -2*g + n - 2*n = -9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146736001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1000*x**2 + 4997*x + 5. Calculate f(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(176) - 3*sqrt(176)).\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 2184*a**2 + 2164*a**2 + 149*a + 148*a - 296*a in the form g*a + n + x*a**2 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28845 = 108*w - 63*w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = -9. Let s be 1\/((0 - p)\/(-144)). List the prime factors of s\/(-2) - 1 - 1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 6809 + 3301 = 0. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269962 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*v + 20 = 0, 3*f + v = -v - 12. Let h be (-2)\/(f*2\/(-8)). Let q(y) = -13*y + 4*y**2 + y**3 + 2 - y**2 + 10*y. Determine q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1430109*j**4 + 85*j**2 - 120019*j - 1384?\nAnswer: -17161308*j**2 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 14, p: 1, l: 2}. What is prob of picking 3 m?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1 + 0\/(-3)). Let l be ((-3)\/s)\/(9\/(-24)). Solve -l*n - 3 - 1 = -4*p, p - 3*n = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -q*x - 4 = -6*x. Solve 2*t = 5*w - x, -t - 1 = -4*w + w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (14 - (13 + (0 - 34)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x - p, -2*x = -0*x + 5*p - 6. Suppose -2 = -x*h + 2*h. Suppose -q = -h*q + 310. What is q rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5965 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Let b(d) = 6*d**2 - 3*d + 2. Let u be b(2). What are the prime factors of (-870)\/u*v\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -540741709\/4609 + 117323. Is r equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 11*v**2 + 14*v + 26. What is l(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 14. Let s = -9 - -26. What is the remainder when s is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20687303 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -5*b + 40. Let j(r) = -r**2 - 11*r + 6. Let m(a) = 2*a**2 + 22*a + 16. Calculate the lowest common multiple of m(-11) and j(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n**3 + 13*n**2 + 14. Is i(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -266*a. Let n(b) = 5*b**2 + 6. Let h(r) = 4*r**2 + 4. Suppose -4*p + 7 = -f, p = 5*f - 2*f - 1. Let i(w) = p*n(w) - 3*h(w). Determine o(i(x)).\nAnswer: 532*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 3*p - 12. Let c(v) = -6*v**2 - 4*v - 11. Give -3*c(t) + 4*i(t).\nAnswer: -2*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 223760929 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -434\/15 - -109\/3. Find the common denominator of w and -59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 5*i = 1200. Suppose -i*v - 1665 = -53*v. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - 4*f)*(-43*f**3 + 95 - 95) + (-3 - 1 + 8)*(3*f**4 - 4*f**2 + 4*f**2) + 3*f**3 - 3*f**3 + 3*f**4.\nAnswer: 101*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 0 + 1 + (-56 - -109) + 3 + -64\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(2\/7)*w*w*w)**(-48)\/(w**(-7)*w**5*w*w))\/((w**(-2\/5)*w*w*w*w\/(w\/(w\/(w\/(w*w**(-1\/2)))*w)))\/(w**(-1\/2)\/w**3)) assuming w is positive.\nAnswer: w**(-8186\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 7*p. Let m(d) = 2*d**2 - 3*d. Let o(l) = -7*m(l) + 3*w(l). Let q(t) be the first derivative of -t**3\/3 + 72. Calculate o(q(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365 by 73.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17700531 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 9*g**2 - g - 18. Let v be u(5). Let a(z) = 45*z**3 - z**2 + 13*z - 21. List the prime factors of a(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**9\/3024 + w**5\/8 + 3*w**3 + 8*w. Let r(o) be the second derivative of f(o). What is the second derivative of r(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 366263, 366248, 366231, 366212, 366191, 366168?\n\"Answer: -m**2 - 12*m + 366276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 433*k + 970 - 1886 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b. Let c = -78 + 80. Suppose -5*z + 4*o = -2409, -c*z + b*z + 4*o = -966. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, -10, 8, 816, 2 in descending order.\nAnswer: 816, 8, 4, 2, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 6 + (2 - (-218)\/(-22)) and -35\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.2 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-720 + -14)*(-6)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31781, 63612, 95495, 127430, 159417, 191456, 223547?\n\"Answer: 26*b**2 + 31753*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2b67?\nAnswer: 2b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + -61 - (0 + 8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -7)*1338*12\/216 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -71. Let z = m + -101. Sort -1\/2, -7, -2\/5, z in descending order.\nAnswer: -2\/5, -1\/2, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-930)\/39 - 8\/52. Let r = 7 - d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4854974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13126182 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - 2*r**5 - 1151262 + 1400*r**3 + 1151264 + (5 - 5 - 3*r**2)*(-1 + 1 - r**3).\nAnswer: r**5 + 1400*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -767\nAnswer: 230.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35423595 to the power of 1\/2, to the nearest integer?\nAnswer: 5952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 570 + -730. Calculate the smallest common multiple of d\/360*((-2)\/1 - 7) and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(2\/(-12)). Suppose -5*n - 18 = 2*g - 0*g, 3*n + 10 = -p*g. Solve -2*s + g = -3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -18 (b) 0.5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:52 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5226339 decades in years?\nAnswer: 5.226339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9 + z**3 - 7 + 11 - z as f*z**2 + v + d*z**3 + j*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**2. Let o(p) = -15*p**2. Calculate -5*i(z) + 3*o(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6466 by 2.\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1767 and 930?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -1553*o**5\/5 + 6*o**2 - 16*o - 452. Find the second derivative of l(h) wrt h.\nAnswer: -18636*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 - 685e2?\nAnswer: -68624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j + 3*j - j)*(0 + 1 - 2) + 0 + 0 + 3*j + (-3*j + 2*j + 2*j)*(0 + 5 - 4) - 1 + 1 - 2*j)*(0 - 1 + 4)*(-5 + 3 + 4).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 38. Let i(y) = 3*y - 77. Calculate -5*d(l) + 2*i(l).\nAnswer: l + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-105))\/(-144*38\/(-1197))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -362*f - 10858. Let i be m(-30). Suppose 5*w = 3 + 12. Factor -14\/3*h**4 + 0 - 32\/3*h**w + 0*h - 8\/3*h**i.\nAnswer: -2*h**2*(h + 2)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1998*z**2. Let i(a) = 2*a**2. What is w(i(h))?\nAnswer: 7992*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l + 3610. Is 13 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181552408859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1708.08 + 1708. Is a less than -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160856424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.626 + 0.026. Let w = 9 + z. What is the nearest to 0 in -0.1, w, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 3*v**2 + v - 2. Let m be c(3). Let b = m - -3. Find the third derivative of b*l**2 + 2*l**3 - 2*l**3 + 4*l**3 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -173*r**2 - 1573*r - 1574. Calculate u(-1).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/2, -21710, -1\/7, 4, 2, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**2. Let p(o) be the third derivative of 49*o**4\/8 + 662*o**2. Give z(p(c)).\nAnswer: -172872*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 4223377945558.\nAnswer: 4223377945558.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k*k*k\/k**5*k)\/k)\/k)\/k)\/k*k**(2\/11)*(k**(1\/4)*k)**(1\/2) assuming k is positive.\nAnswer: k**(-193\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17066 - -682593\/40. Calculate the common denominator of ((-4)\/(-3))\/(10\/19) and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 580.03520044 - 580.2552. Let n = -13 - -12.78. Let y = n - u. What is y rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -5. Suppose 4*w - 3*c - 17 - 51 = 0, -w = 3*c - 2. Calculate the lowest common multiple of w and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1. Let d(l) = -l**2 + 8*l + 5. Let i(b) = -d(b) + 3*w(b). Let v be i(9). Differentiate -1 - v + 2 - 1 - h**2 with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -222?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/5 - 599491*p\/5 - 479596 = 0. What is p?\nAnswer: -4, 599495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -64766030\/23 at least as big as -2815914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*t + 146*g**3 + 62*g**2*t**3 - 933*g*t**2 + 216*t**3 wrt g?\nAnswer: 12*g*t + 876*g + 124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11517 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 7*g + 20, -841 = 7*y - g - 857 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let w(d) be the second derivative of 5*d + 0*d**2 + 0*d**c - 1\/5*d**5 - 5\/12*d**4 + 0. Find the third derivative of w(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 + 6*z**3 - 161)*(2*z + 2 - 2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30947 is divided by 2190.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 133*s**2\/2 - s - 2. Let o be f(1). Let d = -662\/5 + o. Which is the closest to 0.1? (a) 0 (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 - -2169. Solve -23*x - 5*x - r*x**3 + 36*x**2 + 2379*x**3 - 24 - 12*x**4 = 0 for x.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6610442\/9 greater than or equal to -734495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*k + 37*k + 258090 = 14*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 0*3\/(-9). Suppose 5*g = 20, -k*t - 2*g + 44 = 3*g. Suppose -16 = m + 3*m, t = -4*a - 2*m. Solve q = -a*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6. Let a(o) = -o + 13. Suppose -8*i = -0*i + 56. Determine i*t(v) - 3*a(v).\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 4*p**2 - 3*p + 4. Let x be z(4). Let b = x + 13. Let a(g) = -g + 12. What is the units digit of a(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140261 (base 9) in base 13?\nAnswer: 2cbc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.475 in 2\/7, -300, -36.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1642203776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 171. Suppose 5*p - d + 4*d - 160 = 0, 4*p - 128 = 2*d. Let k be p\/q - 11\/(-7) - 0. Calculate the highest common factor of 4 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 65*d**3 - d**2 + 3*d - 2. Let u be a(2). What is the common denominator of -149\/18 and u\/84 + -3 + -2 + 3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7391719 millimeters to kilometers.\nAnswer: 0.0000007391719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 25 + 5)*(-50*i + i**3 + 50*i + 3).\nAnswer: 65*i**3 + 195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.0346119 rounded to one dp?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -75 (c) -13 (d) 0.4 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 4*l + 26. Suppose 0*a - 7*a + 154 = 0. Suppose 66*v = 64*v - a. List the prime factors of r(v).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(110\/(-6)) + 1380\/(-450)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b - 3*b)*(-2*b + 0*b + 0*b) - 13*b**2 + 719*b - 719*b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*u**2 - 4 - u**4 + 8 + 2*u - u**3 + 67*u**2 to the form y*u**3 + j*u**4 + i + q*u + p*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.99 + 32.99. What is the second smallest value in f, 102, 2, 0.5, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g + 13*g**2 + 35*g**3 + 7*g**2 + g**5 + 5*g**2 wrt g?\nAnswer: 60*g**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/5*20\/8. Suppose 2*j - 20 = -5*i, -o*j + 4*i + 0 = -20. Solve 4*h + h = j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.84459km in centimeters?\nAnswer: 5784459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*q + 1072 - 1089, 7*s + 3*q + 49 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91454287 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 245 = 10*y. Suppose -3*o + 4*o = 0. Suppose o = -5*q - y + 165. Solve -q = 4*j - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 936564 or 936561?\nAnswer: 936561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106 - 17*z + 56*z + 1113.\nAnswer: 39*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -86*t - 17. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21360 - -3524398\/165. What is the third smallest value in -5, l, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 2\/(-2 + (-20)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**4\/3 - 4*m**3 + 236*m**2\/3 + 232*m + 96 = 0. Calculate m.\nAnswer: -4, -3, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, i: 3}. What is prob of sequence biib?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 + -166. Factor -2*c**3 - 9*c**s - 3*c**3 + 5*c**4 + c**2 - 22*c**2.\nAnswer: 5*c**2*(c - 3)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.7656 rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -598. Let t = w - 127. Let c = t + -139. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.842 rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-170))\/(29\/5220)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/133 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-12)*-8)\/(2\/6). What is the units digit of (-34)\/(-9) + k\/(-180)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 823*f**2. Let m(k) = 11*k + 1. Let w(v) = -28*v - 4. Let o(r) = 4*m(r) + w(r). Calculate o(t(l)).\nAnswer: 13168*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 2520656 and -0.953.\nAnswer: 2520655.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9 + 7 - 16 + 2*n. Let j(s) = s - 40. Determine u(j(v)).\nAnswer: 2*v - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**7\/168 - m**6\/60 + m**4\/24 - m**3\/24 - 7*m. Factor i(r).\nAnswer: r*(r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 17*f + 22. Let v = -44 - -27. Let d be q(v). Let m = d - 18. Solve -1 = -2*c + 7, m*c = -5*t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 15*t**2 - 3. Let b(u) = 3*u**3 - 16*u**2 + 2. Determine -3*b(r) - 2*d(r).\nAnswer: -5*r**3 + 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a - 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4 - (-3)\/(-2))\/(-1). Let u(s) be the second derivative of 3*s + t*s**2 - 1\/12*s**4 + 1\/3*s**3 + 0. Find the second derivative of u(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - -9a6bb?\nAnswer: 9a727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + 25825\/30. Let q = 856 - g. Find the common denominator of -137\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {h: 1, d: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 2*s - 4. Let n = 224 - 221. What is g(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-3)\/(-9))\/1)\/1. Let z(b) be the first derivative of -2 - 1\/2*b**2 + 0*b + c*b**3. What is the second derivative of z(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/12 and 1\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 14. Suppose -t + 3 = 0, 6 = 5*v + t - 17. Suppose -151 = -3*j + 6*l - l, -l = -v*j + 224. Let c = -68 + j. What is h(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -98, -143, -186, -215, -218, -183?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50\/561, -4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.749 - -0.251. Which is the third smallest value? (a) -10 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3566999 is divided by 237792?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467633.\nAnswer: 467633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87608.26 minutes to milliseconds.\nAnswer: 5256495600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00152298 to five decimal places.\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-3*c - c + 3*c)*(79*c + 5504*c**2 - 48*c - 31*c).\nAnswer: -11008*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -107, 7, -10 in ascending order.\nAnswer: -107, -10, -4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*g**2*n**2 - 2552*g**2 + 18*g*n**2 - 28*g*n - g - 32*n wrt g?\nAnswer: 170*n**2 - 5104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 39026 = -40055 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y - 3. Let t(m) = 120*m + 40. Let s(w) = 25*b(w) + 2*t(w). What is s(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 4616?\nAnswer: 32312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 17. Suppose 3*v + 2*z - 18 = -v, -2*v = 3*z - s. Let r be 4\/4 - (-1 + 2). Solve 5*g + v*t = r, -g - t = 2*t - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {p: 4, m: 2, y: 11, j: 2}?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 - 240*p**2 - 235*p + 60. Give n(-59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -392079?\nAnswer: 39207.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 + o - 80. What is v(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/57 in 3, 1, -3, -13\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12020192947 rounded to 3 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-35) + (-122)\/(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.67 - -0.17. Let p = 0.2 - 0.5. Let i = p + 0. Which is the biggest value? (a) s (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091300 is divided by 2161?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Let i be ((-1)\/((-7)\/(-2)))\/(286\/(-154)). Which is the closest to v? (a) i (b) 2\/3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4660.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/164 (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6528\/367 at least 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*t + 6*z - 24, 4*z = -4*t + 24. Let i = 6921 - 228323\/33. Find the common denominator of ((-1)\/t - (-1968)\/(-18))\/(-6) and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 8. Let b be m(8). Suppose w - 7 = 2*g, -32 = -2*w - 0*g - 2*g. Suppose 2*h - 3*h - w = -4*s, b = 3*s - 2*h - 6. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 42156 + 22*k**2 - 13873 - 984*k - 26*k**2 - 24659.\nAnswer: -3*(k + 164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1279*i + 507*i - 856*i + 61864 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(60\/(-5) + 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3114433 - 1?\nAnswer: -3114434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let d = u - 7. Which is the biggest value? (a) 2\/11 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.022 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 30 - 30*t**2 + 46*t**3 + 5*t - 22*t**3 - 29*t**3 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - (-12)\/9)\/((-2)\/(-6)). Which is the fourth smallest value? (a) -0.01 (b) 0.2 (c) 3\/4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -366, -1460, -4018, -8772, -16454, -27796, -43530?\n\"Answer: -122*p**3 - 240*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-72))\/((-70)\/84)*-1*20\/(-3)?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g + 41. Suppose 5*s + 45 = 155. Let i = s - g. Calculate the least common multiple of 2 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9218 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2*x = 5*t + 28, -4*t - 4*x = -100. Suppose -4 = 4*j - 12. Suppose j*c - c = 2. Calculate the highest common divisor of c and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51137 is divided by 25290?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j*j**6*j)**(-13\/6)*(j**(-2\/5)\/(j**(-3\/4)\/j))**0 assuming j is positive.\nAnswer: j**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from huhdhpddhuudhup.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -3 (c) 1\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6*s = -u + 983, 0 = 5*u + s - 4893. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6 - 6*j + 3 - 9*j + j. Let y(g) = 5*g - 3. Determine -4*n(c) - 11*y(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**3 + 21 - 13 - 4*p**3 - p**3 to the form f*p**3 + z*p + k + h*p**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 31 + -13 - (-9 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g - 4*u + 14, 4*g = 4*u - 4. Solve s = 4*f + 1 + 1, -5*s + g*f = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:55 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 26 = -0*b + 4*o, -4*b - 5*o = -13. Let s be ((-22)\/(-66))\/(b\/(-13814)). Let u = -1537 + s. Calculate the common denominator of u and 37\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3\/(3\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*m + 14, 3*k - 5*m + 11 = k. Let d(l) = -l**2 - 2*l + 3. Let a be d(k). Is 16735\/75 + 6\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1120338.42 and 3.\nAnswer: -1120335.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10. Suppose -4*b + 66 - 10 = y. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**2 + d + 4*d + d - 10*d**2. Let v be x(-7). Solve -3*h = -i - 15, 2*i - v*i = 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d + 7. Let q(v) = -74*v**2 - 718*v + 48. Let r(p) = -5*i(p) + q(p). What is r(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + -2))*2 + (sqrt(1700) - sqrt(1700)*-1*-4) + 4)**2.\nAnswer: -480*sqrt(17) + 15364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 11. Let f be g(11). Let w = f - -31. Differentiate -w + 2*d**3 + 0 + 12 with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622217610 a multiple of 1211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**4 - 2*z**3 + 2*z**2 - z - 1. Let i(c) = 4*c**4 - 9*c**3 + 9*c**2 - 5*c - 3. Let m(y) = -4*i(y) + 18*p(y). Differentiate m(v) wrt v.\nAnswer: 8*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-5 + -3 + 2) - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 261453 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4039061.\nAnswer: 13, 310697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7624704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/7)*a**3*a**17\/a*a**(-1\/4))**5 assuming a is positive.\nAnswer: a**(2685\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*v - 1340 - 5565 = 3925 + 735 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + i - 1. Suppose -4*v - 3*n - 5 = 0, n + 2 = 2*v - 3. Let p be x(v). Let f = 21 + p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -19\/20?\nAnswer: -19\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 4\/7 (c) -482 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from ttutttuttt?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 - b + 3. Let y = 6 + -6. Let w be k(y). Let i be (w\/6)\/(2\/(-1840000)). Round i to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00269709 rounded to five dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/8)\/(3\/(-12)). Suppose h - 11 = -12. Sort 0, d, h.\nAnswer: h, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 2*k)*(7 + 1 - 4)*(0 + 5 - 2).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*m - 149*m - 2718 = 3042 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50660912 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140384021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from {i: 3, q: 8, k: 7, z: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + a = -5, -p + 3*a - 6*a = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37229*y**4 - 96298*y.\nAnswer: -446748*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from hhshgnnhsn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f, -9*s + 4*s - f = -86. Solve s*d = -141 + 90 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/4)*u)*u*u)**(-14\/9)*(u**0)**(3\/31) assuming u is positive.\nAnswer: u**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 99*t**2 + 4*t + 95*t**2 - 193*t**2 - 26 - 30. Determine x(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210904 divided by 30707?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -525 - -534. What is the biggest value in 8, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 21320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-one thirds of a day?\nAnswer: 34080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4285902486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26044 from -14.8343934.\nAnswer: -26058.8343934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-112)*2240\/(-420). What is the second smallest value in 5, 2, 0.8, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7*i = 80. Suppose -i*g + 56 = -24. Solve -2*z - 7 - 3 = -3*h, -2*h = 2*z + g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/44 - (-3)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q. Let v(b) = 2*b**2 - 2*b - 1. Let l(i) = -5*a(i) - v(i). Suppose 5*c = -0*c + 15. What are the prime factors of l(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 2 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o + 6 - 14 - 3*o**2 + 7 - 3*o**3 + 2*o**3 in the form n*o**2 + w*o + u + y*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)*c)\/((c*c**(2\/27)\/c)\/c)*(c*(c\/(c\/(c**(2\/5)*c)))\/c)**(-1\/17)*(c*c*c\/((c\/c**0*c)\/c))\/(c*c**(-3\/4))*c\/c**7*(c*c**(-4))\/c assuming c is positive.\nAnswer: c**(-86351\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (4 + sqrt(18)*-2 + 2 + sqrt(72) + 0)**2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaap when four letters picked without replacement from {p: 3, a: 7, c: 1, v: 6}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b6813 (base 13) in base 2?\nAnswer: 1010000010000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84817539 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*w + 17, -3*p - p = -2*w - 18. Suppose p*t = -3*t. Let u be t\/(4*2\/4). Solve u = -l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 3*h - 2. Let u be d(3). Let o = 0 + -7. What is the units digit of u\/o + (-66)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x**2 + 5*x + 5. What is the tens digit of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458824 is divided by 57312?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Let g be 0 - ((-8)\/3 + 3). Let s be ((-1)\/2)\/(3\/4). Which is the closest to g? (a) -2\/9 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1163 divided by 551.\nAnswer: -1163\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*l - 3*u, -3*l + 5*u = -0*l - 24. Let d = l - -1. What is the remainder when (-31844)\/(-1330) - (-6)\/105 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 4, x: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:45 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*x + 204 = 0, -j + x + 99 = j. Suppose 4*h - 135 = -h. Calculate the remainder when j is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2543 - 6?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42860236.6 rounded to the nearest ten thousand?\nAnswer: -42860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1.2 (b) 52 (c) 4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1820 and 8402212?\nAnswer: 42011060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**4 - 2076*d**3 + 2099*d + 1 wrt d?\nAnswer: 36*d**2 - 12456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115851097.\nAnswer: 1993, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4724\/5 + -942. Which is the second smallest value? (a) s (b) -0.4 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-715)\/13)*-7\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525258850 and 34530?\nAnswer: 11510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 251.\nAnswer: -2, 10, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)\/(2\/6). Let t = -18.909 + 3.909. What is the biggest value in y, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*j - 5 = 0, 9*j - 8*j + 11 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-45))\/((-2)\/(-9)*135\/75).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22667?\nAnswer: 19, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1238 (base 10) to base 3.\nAnswer: 1200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let l(d) = -2*d**2 + 156. Give l(m(v)).\nAnswer: -8*v**4 + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = 34 - 12. Let a(y) be the first derivative of 5*y**2\/2 + y - 1. Determine a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 3, 5, 0.25, 3\/2 in ascending order.\nAnswer: -5\/6, 0.25, 3\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003372140681 to seven dps.\nAnswer: 0.0033721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6708.777 rounded to the nearest ten?\nAnswer: -6710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10079 != -10081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -17051130*z**2. Let x(f) = 3*f**2. What is x(s(q))?\nAnswer: 872223102830700*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17*s**2 - 8. Let v(c) be the third derivative of c**5\/15 + c**3\/3 + 2*c**2 + 37*c. Calculate 2*p(i) + 9*v(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2. Let a be ((-8)\/16)\/(1\/(-4)). Let h(j) = -2*j**2 + 2*j**a - 2*j**2. Calculate h(l(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3174238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/60 + p**2\/10 + 8*p. Find x, given that d(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3167*y + 6344*y - 3175*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232853094.\nAnswer: 2, 1116426547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -12. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/21 (c) 0 (d) 54 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 41*m - 55. Let k be n(-19). What is the units digit of (690 - -5) + k + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10397 and 1517.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 2*g**2 + 3*g + 4. Let p be h(3). Suppose p*j + 15 = 35. Solve f - 7 = m + 3*f, -4*f = -j*m + 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f. Let h = -15 - -28. Suppose 0 = -5*q + 3*i, q - h = -0*q - 2*i. Solve j - q = -f*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*q**2 - 22*q**2 - 18*q**2 + 2*q**3 + 1 + 63*q**2 to the form l*q + j*q**2 + i*q**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519751 is divided by 2459.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxqb when four letters picked without replacement from puqxbqwqxbpxp.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**(-1)*k)\/k)\/(k\/(k*k\/(k*k**(-2\/11)))*k)*(k**(-2\/13)\/k)\/k**(3\/2))**(-4\/3))**30 assuming k is positive.\nAnswer: k**(19860\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43057111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34705925 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 5*h - 38, 3386*h = -3*l + 3391*h + 46 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:12 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 + 2*p**2 + 21 - 21*p - 3*p**2. Suppose 0 = -9*f + 103 - 1048. Let t = f + 94. Let k(z) = z**2 + 4*z - 4. Determine t*k(m) - 2*j(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 32048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(-4 - (-7 + 67)) is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(1372)) + (-1 + sqrt(7))**2*-6)*4.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**1))**(2\/25) assuming n is positive.\nAnswer: n**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*r = 0, r + 0 + 1 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.52 + -63.52. Let v = 16268470 - 16268407.9999975. Let h = p + v. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14502 divided by 2?\nAnswer: -7251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -20, -13\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {d: 2, r: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 - 13 = 34*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2697*y**2 + 10*y**3 - 12*y + 10*y**3 + 11*y**3 - 30*y**3.\nAnswer: y**3 + 2697*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3139079*m**3 + 445*m - 887*m - 3139075*m**3 + 442*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 68. Calculate the remainder when (-6)\/(-24) - 131\/(-4) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j + 5*d = -58*j - 3519, -4*j - 7027 = -d. What is j rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 12100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 21.06419 days?\nAnswer: 3.00917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -374, -380?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2228 + 2047 + 2332)*(u + 2*u - 4*u).\nAnswer: -13214*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*u - 66, 3*u - 5*v - 38 = -0*v. Let c = u - 16. What is the third derivative of 2*m**2 + c*m**3 - 8*m**2 - 4*m**3 - 2*m**3 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 8*q - 100 = 0. Let o(n) = q*n + 92*n - 185*n. Let b(y) = -5*y**2 + y**2 + 3*y**2. Determine b(o(g)).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16973.7 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/119 (b) -4 (c) -5128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -534, -1118, -1720, -2346, -3002, -3694?\nAnswer: -4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4187 + 161 = -3*k, -5*g + 4050 = -5*k. Which is smaller: 809 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33380514 to the nearest integer?\nAnswer: 5778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + g. Let s = 90 - 85. List the prime factors of w(s).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15030782 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -587 + 6541\/11. Let h = -47\/22 + f. Is 7 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z = 35 - 245 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -178 + 360 - 182 - h. Let f(u) = 6*u. Give f(b(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030101 (base 4) to base 10.\nAnswer: -8977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l**2 + 3*l**2 + 2*l**2 - 79 + 200*l**3 wrt l.\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991339281?\nAnswer: 3, 29, 45877463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m - 173. Let k = m + -60. Let z = -2 - -1. Is z not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.404859t?\nAnswer: 404859000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:15 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38128 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 955498 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p - 3546 + 7175 - 4215. Give f(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/21 (b) 0.8 (c) 38 (d) -2\/11 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3340 - 6238. What is the tens digit of -2*(-7 + y\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 10\/(-2))*-1. Let w be (s\/2)\/(4\/(-20)). Let m(r) = 519*r**3 + 9*r**2 + 9*r + 10. Let p be m(w). Round p to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 26 = -5*m - 6, -3*k + 2*m + 17 = 0. Calculate the remainder when 154 is divided by ((234\/8)\/k)\/((-39)\/(-156)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.6923004 times -0.2\nAnswer: 1.13846008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46118209231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by -20.\nAnswer: 129\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b8 (base 13) to base 8.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q + 8 = -5*b, 4*q = 12. Suppose 0 = -2*y + 79 + 49. Let k be b\/(-6) + y\/12. Solve 4*d + 14 = -k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 6*b - 5*b - 4*b + 19*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-15)*b**(2\/31)*b*b\/(b*b\/((b*b*b\/(b*b*b**(-8\/3)\/b)*b)\/b))*b*b*(b**(4\/5)*(b\/((b*b**(-2)*b)\/b*b))\/b*b)**(19\/2) assuming b is positive.\nAnswer: b**(27743\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 2 + 0 - 4*h)*(-5 + 6*h + 5).\nAnswer: -72*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4 - 7*s**2 + s**3 + 0 + 5*s - s. Let h be u(5). Let x = -13 - h. Solve -1 = 3*f - x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 58*u = 59*u + 237 - 487 + 232, -36*o - 141 = 3*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 609?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/14 + 6 + (-862)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**11*(u\/u**14)\/u*(u**(1\/2)*u*u)**(15\/8) assuming u is positive.\nAnswer: u**(27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwoo when four letters picked without replacement from {c: 2, i: 5, o: 3, w: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14355, 14351, 14345, 14337?\nAnswer: 14327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 372 or 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 500. Let t be (22\/55)\/(2\/a). Solve -5*g + h = 14, 5*g - h + t = -6*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1030 and 412.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(33))\/sqrt(11) + -4*(1 + sqrt(3)) - (-4 + sqrt(12) + sqrt(3) - sqrt(6)\/(sqrt(2)*-2)))**2.\nAnswer: 507\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l + 1. Let o be m(-4). Let k = 21 - 20.9. Put o, k, -4 in decreasing order.\nAnswer: o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -39a?\nAnswer: 3ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2\/9 - 388*r\/9 + 128\/3 = 0. Calculate r.\nAnswer: 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/(-40))\/((-12)\/100)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*u - 5862 = -3*a, -a + 5858 = -u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -768*p**3*y**3 + 10*p**3*y + p**2*y**2 + p**2*y - 2*p*y**3 - 5*p*y**2 + 2*y**3 wrt y?\nAnswer: -4608*p**3 - 12*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 54*t + 3. Let l be x(6). Let v = l + -224. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -324, -516, -732?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -37*i + 81. Calculate l(-4).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -8, -0.04, -0.2, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(31\/(20460\/33))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j - 2. Let q(o) = o**2 - 3*o + 4. Let w be q(0). What is g(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*z + 28*z - 5*z**2 + 79*z + 2.\nAnswer: -5*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3069683 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*m = 14, 4*y - 7*m + 8 = -3*m. Suppose 2*f + f = -3. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6))\/((-3)\/(-66)). Suppose n - 38 = -0*n + 3*t, 2*t = -5*n + 190. What is the remainder when n is divided by (3\/2)\/(l\/(-220))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3772 - 34b2?\nAnswer: -6c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)*35\/(-14). Let m = w - -8. Factor 2*y**2 - y**m - y**2 - 2*y**2.\nAnswer: -y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 14*f**4\/3 - 1457*f**3\/6 + 2188*f**2 + 14093*f\/6 - 260\/3 = 0.\nAnswer: -1, 1\/28, 13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {m: 13, q: 3, e: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2799*q + 3*b + 32 = 2795*q, 2*q - 3*b = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u**2 + u + 1. Let f(r) = -r**2 + 4*r - 4. Let k be f(3). What are the prime factors of z(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 1022 = 14*r. Suppose -r = -5*h + 2. Solve 4*j + j = h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/((-23)\/138*((-5208)\/(-40))\/(-31)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*g + 93 = 284, -2*o + 186 = -2*g. Suppose 28 - o = 4*h. Let z be h\/5 - (-12)\/4. Solve z = -r - 0 - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 52*r - 52. Let t be l(1). Put 2, 8, t, -8, 4 in increasing order.\nAnswer: -8, t, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -3, 7 in descending order.\nAnswer: 7, 1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + y - 6*y - 3*y. Let d(k) be the first derivative of 0*k + 0*k**2 + 5 + 1\/3*k**3. Determine x(d(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 - 24020*d**4 + 6411264*d**3.\nAnswer: -4*d**3*(d - 256)*(d + 6261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + w + 5530 = -10784, -5*i - 4*w - 16326 = 0. Is -3263 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330073474 a multiple of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-3\/2))*q**(2\/15))\/(q**0)**(2\/41))**(3\/14) assuming q is positive.\nAnswer: q**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 7861, 72, -4\/15 in increasing order.\nAnswer: -4\/15, 0, 5, 72, 7861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001101111100 (base 2) to base 5.\nAnswer: 410210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8039 is divided by 72?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3\/6 - 101*t**2\/3 + 41*t\/2.\nAnswer: -t*(t + 41)*(5*t - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 8*w - 58. Let d be b(13). Let s be 1*d\/14*6. Solve -h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 460*c**2 - 3*c - 1. Let n(l) = -2*l**2 + 1. Let b be n(1). Is y(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 427*i**2 - 24. Let s(q) = 516670*q**2 - 29036. Give -7259*p(u) + 6*s(u).\nAnswer: 427*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 + 6*u + 5. Let j be h(-6). Let q(k) be the first derivative of 1\/4*k**4 + 2*k + 79 + 2*k**2 - 5\/3*k**3. What is q(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7869.\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3110 divided by -622\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30264 less than or equal to 28950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/(-24))\/18*13\/39*177?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2313 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 3113*d**6\/60 + 553*d**5\/60 + d**4\/24 + 2*d**2 + 107*d. Find the third derivative of m(p) wrt p.\nAnswer: 37356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176335 - 1430758.\nAnswer: -1607093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 260447?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 56*p**2 + 497*p + 17. Give v(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/5 of a second?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -19*y + 622. Give r(45).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 66625?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103303.6 + 103298.39691. Let j = -5.2 - g. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 + 6. Suppose 903*i = 406*i - 1256 - 235. Which is the nearest to o? (a) 6 (b) -2 (c) -0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 - 2*m**2 + 5. Let b(n) = n**3 + 1. Suppose 0 = -3*o - 14 - 7. Let s = -1 - o. Let v be s\/(-8) + (-5)\/20. Determine v*t(a) + 3*b(a).\nAnswer: -2*a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26273 and 52?\nAnswer: 105092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2186*n**2 - 10953*n - 18. Calculate t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:07 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(8 + 0)*27. Let x = z + -83. What is the closest to x in 0.1, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 556, -3, -4, 19, 4 in descending order.\nAnswer: 556, 19, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7 - 10 - l**2 - 11 + 29. Let y be z(-1). Solve 5*d - 14 = -h, -2*h = -y*d + 2*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 5*a - 59 = -45*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -c + 20. Let f = 16 + c. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -176*d - 1. Let m(f) = 1016*f**2 + 1. Give l(m(s)).\nAnswer: -178816*s**2 - 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*m - 6*m - m + 10*m to the form l*m + f and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 29268 + 1333 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 = -v. Suppose -5*w + 27 = 3*n + 2, -w + 22 = 4*n. Find the second derivative of -4*k**w + k + 2*k**2 + 0*k - k**v wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 - 127. Let z = -85 + 92.1. Let v = 6.8 - z. Which is the third smallest value? (a) 1.3 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2*(-4)\/212). Let p(c) be the third derivative of -c**4\/12 - 9*c**3 - 17*c**2. Let f be p(0). Which is bigger: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50872793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 836 and 4?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2736*a**2 - 3*a - 1368*a**2 - 1377*a**2.\nAnswer: -9*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, q: 3}. What is prob of picking 2 q and 1 b?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Suppose f*p + p + 4*z + 9 = 0, 5 = 3*p + 5*z. Sort p, 0.3, -2 in descending order.\nAnswer: 0.3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 + 0 - 2*l)*(1 - 5 + 5)*(6 - 3 - 2)*(-1 + 0 + 4)*(3 - 4 + 0) to q + p*l and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 12 = -a, -k - 12 = -5*a - 8. Let h(s) be the second derivative of 0*s**2 - 18*s - 11\/2*s**3 + a. Let z(o) = o. Calculate h(z(d)).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.4 + 82. Let v = 3 - 1.2. Let p = v + g. Which is the third biggest value? (a) -0.4 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**3 + 13*u**2 + 54*u - 1?\nAnswer: 36*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -7921*s**2 + 178\/3*s**3 - 1\/6*s**4 + 201*s + 0. Determine g, given that w(g) = 0.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, e: 3, g: 6}. What is prob of picking 2 e and 2 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and -0.2854?\nAnswer: 0.062788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 0.2, 7, -21 in increasing order.\nAnswer: -21, 0, 0.2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045688.\nAnswer: 2, 3, 85237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 20*p**2 - 487*p + 22 + 242*p - p**3 + 244*p. Let w be g(20). Let o be 0\/((-4)\/(7 + -3)). Solve -2*y + y = 3*q + 4, w*y - 4*q + 8 = o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - -3 - -158*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-252) - (-21 + 34 + 141\/(-12))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*i**3*k - 7*i**2*k**3 + 2*i*k**3 + 8*i*k**2 + 9*k**3 wrt i.\nAnswer: -540*i*k - 14*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -750265, -3000981, -6752169, -12003823, -18755937?\nAnswer: -27008505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 12*s = -90. Let i be ((-4)\/2)\/(12\/s). Let g(a) = 2*a + 5. Let l(h) = 2*h + 4. What is i*l(q) - 2*g(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/4*2\/4. Let n(s) = s - r*s - 4*s. What is n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**3\/3 + 5*j**2\/2 + 7*j - 1. Let l(s) = s**2 + 19*s + 5. Let c be l(-19). List the prime factors of i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -70\/3*b**3 + b**5 + 0*b**2 + 25\/4*b**4 + 0*b + 23. What is d in q(d) = 0?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q. Let s(p) = -12*p**2 - 14906*p + 34. Give d(s(t)).\nAnswer: -84*t**2 - 104342*t + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946800 = 20*w - 14*w. What is w rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 4 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*w**3 + 14*w**4 - 6*w - 19*w**2 - 4*w - 11*w**4 + 8*w - 5*w**4 to the form j*w**2 + p*w**4 + q + b*w**3 + r*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 2. Let o be n(-5). Suppose -6*u + 17 = -19. Let w = 6 - u. Sort w, o, 5 in decreasing order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n*p**5*r + 8*n*p**3 - 2*n*p - 2*p**3*r**2 - p**2*r**2 + 228*p**2*r wrt p.\nAnswer: -180*n*p**2*r + 48*n - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r - 2)*(340 + 105 - 27).\nAnswer: -418*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 19840, -1\/2, -4, 0.005, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12427591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*g**3*j**4 + 3*g**3 + 8*g**2 + 5*g*j**5 - j**2 wrt j.\nAnswer: -840*g**3*j + 300*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*a - 144 = -76*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -10 - 4*44\/(-16). Let s(f) be the second derivative of -6*f + 1\/42*f**z + 0 + 16\/7*f**2 + 8\/21*f**3. Determine d, given that s(d) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369052.\nAnswer: 2, 3, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 3*h - 5. What is u(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 20973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 14}. What is prob of picking 2 i?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7813184 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000352270425 to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309712*w - 308882*w + 618661*w.\nAnswer: 67*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*z + 3143, -3*a - 2*z = -578 - 1308. List the prime factors of a.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827, -1715, -2669, -3689, -4775, -5927?\nAnswer: -7145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 + 18\/10)\/(68\/(-1292)). Let z = 36.7 - 37. What is the nearest to -3 in z, s, -0.05?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204\/860*6*(-5)\/735.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - -0.02. Let g = 0.0392 + l. Round g to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*2\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = 84 - 609. Calculate the highest common divisor of r and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-56)\/252*(-2)\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9288 rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Suppose 0 = -10*x + 7*x + 9. Let k(s) = x*s - 2*s + 9*s. Give l(k(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*146\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y + 125 = 62*y. Let d(n) = 1495*n + 18. Is d(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.80601193767 less than -0.048?\nAnswer: -15.85401193767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**2 - 231*g - 341. Determine c(-37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Suppose -o + 2*r = 7, 0 = 5*o - 2*o + 5*r - 12. Put 0, s, o in increasing order.\nAnswer: o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v\/(v\/v**33*v)))*v**(-14\/3)*(v\/(v\/(v\/(v**(-12\/7)*v))))**(-6\/13) assuming v is positive.\nAnswer: v**(7246\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 10 = 5*r + 20, 5*z = 2*r + 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-8) + (-2)\/(-8). Let z(v) = 2*v - 2 - v**2 + 5*v - 3*v + 0*v. Let j be z(h). Let p(c) = 5*c**3 - c**2. Give p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*w + 0*w - 67 = 0, 2*w + 8 = 0. Let j = q - 23. Find u such that -20 - 2*u**j + 8*u - 25 + 39 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -10. Let a(w) = -3*w**2 + 1 + 4*w**2 - 2*w**s + 4*w. Let v = -8 - -12. What is a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132\/5 - -533\/20. Which is the smallest value? (a) 7 (b) -5 (c) -0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134861*d - 134983*d + 268836*d)*(0 + 0 + d).\nAnswer: -1008*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.2. Let h = 0.2 - j. Let g = -1019.1 + 1019. Which is the closest to -1? (a) h (b) g (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 = -2. Let k(r) = -125*r**3 - 5*r**2 - 2. Let n(g) = 125*g**3 + 6*g**2 + g + 3. Let a(f) = -3*k(f) - 2*n(f). Is 42 a factor of a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0312 - 0.03. Let a = 0 + i. What is a rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-30))\/(2\/(-6)))\/(4 + -1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-1)*(-57)\/(-9). Suppose -4*u + o = -0*u. Suppose 0*s - u = -2*s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7250990.12 rounded to the nearest one thousand?\nAnswer: -7251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 656*a**4*q - 2*a**3*l + 4*a**2*q - 55*l*q + 126*q wrt a?\nAnswer: 2624*a**3*q - 6*a**2*l + 8*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83259 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -1401 in descending order.\nAnswer: 1, -1, -1401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 4*a**3 + 0*a**3 + (-a - 3*a + a)*(-4*a - a**2 + 4*a) + (a**3 + 0 + 0)*(3 - 1 + 0) + 2*a**3 - 3*a**3 + 4*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 642, 0.5.\nAnswer: -4\/5, 0.5, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 7*h + h + 0*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-2)*134\/13065*65?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = 42*v - 47*v, 0*v - 2 = -v + 2*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 2. Let w = 31 - 20. Let v(m) = -w + 5*m + 2 + 0*m. Let i(q) = -9*c(q) + 2*v(q). Let s(b) = 11*b**2. Determine i(s(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4035?\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 + 65*m + 170. What is j(18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 155*t + 2319. Calculate s(-141).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**2 + 186*q + 43. Determine a(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**7\/21 + o**6\/5 - 2*o**4\/3 - 119*o. Determine h, given that y(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*3*-4)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 3, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Let j(z) = 5*z**3 + 2*z - 1. Let h be j(1). Let t = -5 + h. Calculate the greatest common factor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - b - 2. Suppose -4*i - 4 = 2*o, -i - 2 = -o + 2. Let f be w(o). Suppose f = p - 3 - 8. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 + (-12)\/42. Let u(x) = z*x - 3 + 2*x + 2. Suppose -s - s + 3*p + 11 = 0, 0 = -3*p - 15. Calculate u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 8. Let x be r(-5). What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 + 3*g - 4. Let o be r(-4). Calculate the greatest common factor of o and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8*p - 20. Let x = -0.572 + -6.428. Which is the closest to -1? (a) -0.3 (b) p (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.07 (c) -2\/23 (d) -4\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301116 is divided by 273.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3631, 3634, 3631, 3616, 3583, 3526?\n\"Answer: -i**3 + 3*i**2 + i + 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 18 = -l - d, -2*d + 18 = 4*l. Let i be (-14)\/21 - l\/(-3). Suppose -1 + 6 = -5*z. Put z, i, 24 in increasing order.\nAnswer: z, i, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314910 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 3, c: 2, z: 4}. Give prob of sequence kz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + -1*sqrt(78))*-3 + sqrt(78))\/(sqrt(486) - sqrt(486)*1 - sqrt(6)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.97. Let f = -251 + 240.03. Let b = f - k. Is 0 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351 - 346. Let j = 70 + -46. What is the remainder when j is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (0 - 1 - (2 - (-4 - -2))). Let b(f) = f + 3. Let x be b(0). Sort t, -8, -3, x.\nAnswer: -8, -3, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 49*c + 83. Is g(-36) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 - 10\/24. Let m be (47 + -24)\/184 + (-38)\/(-80). Which is greater: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, 0.5, -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let p(z) = -z. Let s be p(-4). Give o(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38353 (base 9) to base 2.\nAnswer: 110010011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 33 = 2*a. Let h be 3 + 0\/(-5 + 2). Suppose 4*i = 5 + h. What is the lowest common multiple of a and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7829 times -0.0245?\nAnswer: -191.8105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(19) - sqrt(76)*6) + (sqrt(19) - (sqrt(19) + (sqrt(19) + 2)*1 - sqrt(19))))*-2)**2.\nAnswer: 88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -67*i**2 - 2*i. Let r(p) = -108*p + 13. What is r(y(u))?\nAnswer: 7236*u**2 + 216*u + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v = 12. Suppose 3*y + 0*d = v*d + 870, -4*d + 560 = 2*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693418 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*t - 63 = t, 2*q = 4*t + 40. Let c = q + 8. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82327 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837379768?\nAnswer: 2, 3, 43, 73, 37663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13882, 13850, 13850, 13900, 14018, 14222, 14530, 14960?\n\"Answer: 3*w**3 - 2*w**2 - 47*w + 13928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/1020)\/(2\/(-255))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1377, -1528, -1681, -1836, -1993, -2152, -2313?\n\"Answer: -t**2 - 148*t - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(486)\/sqrt(2) + (sqrt(12)\/sqrt(36) - sqrt(3)).\nAnswer: 25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*l**2)*(-3 - 2 + 3)*(-l + 3*l - 4*l) + (-3*l + 23*l + 27*l)*(-3*l**2 + 8*l**2 - l**2).\nAnswer: 176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 130, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-5)\/d*d)*d)**(-29)\/(d*(d\/(d**(2\/5)\/d))\/d)**(1\/27))**11 assuming d is positive.\nAnswer: d**(-258478\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -162010634?\nAnswer: 162010626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1941, -1904, -1829, -1704, -1517, -1256, -909, -464?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**(1\/20))**(-10)\/((l**1)**(11\/3))**11 assuming l is positive.\nAnswer: l**(-971\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 552283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131868 + -7960749.\nAnswer: -8092617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 + 17*w + 3. Let p(y) = -31*y**2 + 69*y + 13. Calculate -9*c(l) + 2*p(l).\nAnswer: l**2 - 15*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*o + 34 = 0, 0 = 4*d - o + 24 - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 1284030*y**2 + 15408036*y + 46223784.\nAnswer: 3*(y + 6)**2*(y + 427998)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.3 (b) -0.5 (c) 2\/5 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23551483\/330 + -71368. Let h = l + 2\/55. What is the biggest value in h, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1347417.\nAnswer: 9431919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -4859729\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496360 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/(m*m**(-3)\/m))\/(m*m\/((m**(3\/5)*m)\/m)*m*m**(-4)*m)*m**(-6)\/(m\/m**2)*(m**(-1)*m*m)**(-6\/7) assuming m is positive.\nAnswer: m**(-86\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314*g**2*k**2*l**3 - g**2*k**2*l**2 + g**2*k + 2*k**2 + 3*l wrt l.\nAnswer: 1884*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3041 (base 6) to base 11\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1989\/323)\/13*57.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7*j + 1966 = 4*m, 0 = -3*m + 12*j + 1461. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 327 = l - 5*v, 4*v = l - 329. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -215*l**8\/336 + l**7\/210 - l**5\/20 + 7*l**4\/4 - 2*l**2 - 173. Find the third derivative of s(y) wrt y.\nAnswer: -12900*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkmkm. What is prob of sequence mkk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1454, -1843, -2334, -2927, -3622, -4419, -5318?\nAnswer: -6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75.31 + 68.31. Which is the nearest to 1\/2? (a) -42 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6)*1)\/(4030\/(-2418)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 0 + 0 - 8*k**3.\nAnswer: -8*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7530 rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Suppose -3*j - 38 = -2*z + 1, 0 = -z - x*j - 3. Suppose 0*t + 540 = 5*t. What is the greatest common factor of z and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2153 - -2158. Which is the third biggest value? (a) 1 (b) 1\/3 (c) q (d) -33 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93129b (base 13) to base 3\nAnswer: 20110021001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2699241.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550594 and 843151.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 7*l**2 - 3*l + 2. Let t be y(4). Suppose -g - 19 = 3*c, -3*c - 25 = 4*g + t. Let i(d) = -d - 1. Calculate i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbb when three letters picked without replacement from {s: 3, b: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*x + 162329 + 548472 = 0. Is x a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:12 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*h**3 - 844*h**2 + 212*h.\nAnswer: -4*h*(h + 53)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-4) + 8\/(-32). Calculate the lowest common multiple of z\/(-3)*1*-36 and 34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-21))\/((-1562)\/(-66) - 25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05047 to three dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*h - 0*h. Suppose 15 = -3*b, -a = 2*a - 5*b - 4. Let f = a - h. Solve f*z + 2*u - 26 = 0, -u = -5*z + 9 + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2833 (b) 0 (c) -1\/8 (d) -6\/5 (e) -3\/4 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4 + 5 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 22. Round d to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*s. Suppose 0 = -3*g + s*g + 145. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232067101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -187, -289, -381, -457, -511, -537, -529?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) 0.2405 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/12)\/((-168)\/2874816*31).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1236 + 1308. What is the lowest common multiple of 42 and y?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*g - 2*g**2 - 2*g**3 + 4 + 25 + 12 - 40 to the form x*g**3 + u + a*g + l*g**2 and give a.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 277*j. Let x(p) = -p**2. Determine g(x(h)).\nAnswer: h**4 + 277*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 7*n + 11. What is b(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 125*n**2 - n - 1. Let s be o(-1). Let t = 210 - s. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -772 - -3085\/4. Which is the second smallest value? (a) -5 (b) p (c) 5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60625, -60636, -60671, -60742, -60861, -61040, -61291?\nAnswer: -61626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 69. Solve -4*n - t = 4*m - 1, 0 = -5*n - 2*m + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*y - 122, s + 2*y - 56 = 5*y. Solve h + 37*h - s = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/7 + (-1)\/((-1)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*a**3 + 7*a**2 + a?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10325.4 - -10325. What is the closest to -1\/3 in 12, y, 2, 40?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**2 - 25*b - 489. What is j(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7743 and -0.12?\nAnswer: 7742.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + (-7 - -3) + (5 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 4*q**4 + 9*q**4)*(2 - 2*q - 2) + 12 - 12 - 6*q**5 - 43*q**4 - 15*q**5 + 43*q**4.\nAnswer: -41*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273844 is divided by 715?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r*z**3 - r + 28*z**3 - z**2 + 10 wrt z.\nAnswer: 12*r + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27584 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17866831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 246 + -267. Is 2 a factor of (-3 + 207\/c)\/(27\/(-126))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwlwwwwwwllwlwwwl. Give prob of picking 2 w and 2 l.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 16. Let r be x(7). Suppose 3*j + 5 = r. Suppose 2*n + 5*n**3 - j*n**2 - 9*n + 2*n + 20 = 0. What is n?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/3 + 1 - -6. Let y = -3.3 + 2.2. Let t = y + 1. Which is the closest to 0.1? (a) t (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5291*h**5 + 2*h**4 - 20*h**2 - h wrt h?\nAnswer: 317460*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.284 + 4.284. Which is the smallest value? (a) -2\/9 (b) -204 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w - 1. Let m(i) = -i**2 - 5*i - 4. Calculate -4*f(a) + m(a).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) + 1\/3. Let d = -0.1 + -1.9. Let f = -72.7 + 73. What is the biggest value in d, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-80)\/(-50))\/(4\/10). Let j be ((-1)\/(-3))\/((-1)\/(-9)). Solve -2*l - l**n - l**j - 2*l**3 + l**5 + 5*l**2 + 0*l**4 + 0*l**3 = 0 for l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 0*w = -21*p - 42, -5*w + 2432 - 2511 = -8*p for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 8*z + 9. Let k be 4\/(-22) - 16\/(-88). Suppose k = -c - 3*c + 80. Suppose c = 5*u - 3*l, -5*l = -0*l - 25. Give m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by -232.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 5, 13107 in descending order.\nAnswer: 13107, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -706\/3628713 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 11 + i + 20)*(3 - 3 - 2)*((-1 + 1 + 2)*(-3 + 7 - 2) - 1 + 3 + 0).\nAnswer: -12*i - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k = -19*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*0.277922.\nAnswer: 0.01667532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 10, -3, 0, 7 in decreasing order.\nAnswer: 100, 10, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*q + 12 = 2*s, 4*s = 3*q + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21267*o**4 - 14903*o**2?\nAnswer: 510408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 5. Let h be d(-4). Let x be h\/5 - (-3)\/(-15). Calculate the common denominator of x\/(-9) + 969\/378 and -79\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83763883 is divided by 1994378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 140*f**2 - 7384*f - 1061010. What is x(-141)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 3, w: 2}. Give prob of picking 1 m and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 19*q + 36. Calculate s(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002181193 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a decade in years?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-260)*(-88)\/66?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*3\/108*12. Let x(n) = 6*n**2 + 1. Let v(u) = -5*u**2 - u - 1. What is l*v(c) - 2*x(c)?\nAnswer: 3*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 27*p - 237. Solve p*a = 129 - 135 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 smaller than 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let h be (-5 + s)*(-9 - 1). Suppose -n + h = n. Solve b + 0*v = -2*v - 4, n*v + 11 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.1, -374236, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201220 - -11?\nAnswer: 1202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2 = m, 4*m - 8 = -5*n - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120723928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -3, 11 in descending order.\nAnswer: 26, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383\/9 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/((a**9*a)\/a)))\/a*a))\/(a\/a**5))**(-17)*(a*a*a**(-6)*a)\/a*a**(-4)*(a*(a*a*a\/(a**0\/a)*a)\/a)**(-7\/4) assuming a is positive.\nAnswer: a**(205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n + 1. Let v(j) = 7*j**3 - 11*j**2 + 20*j - 6. Let f(o) = -v(o) - 6*z(o). Let y(r) = -r**3 + 5*r**2 + 2*r. What is -2*f(m) + 5*y(m)?\nAnswer: -3*m**3 + 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 22 + 28)*(0*x**2 + 0*x**2 + x**2)*(-31*x - 86*x + 200*x).\nAnswer: 2822*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30506 divided by -2\nAnswer: 15253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (512\/(-24) - (11 + 10)*-1)*(-66)\/(-4)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77923 is divided by 11114?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 2236. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-30)\/12 + 4). What is the fourth biggest value in -5, k, -4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = u - 6, 2*s - 56 = -4*u. What is the highest common divisor of 117 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:07 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = -5*p + 1859. Suppose -4*s + 524 = -52. Suppose -p = -4*y - 4*k, k = 2*y - k - s. List the prime factors of y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26.4? (a) -4 (b) -2 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 165*b**2 - 34638*b - 2520.\nAnswer: 3*(b - 210)*(55*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 17 - 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.923 + -0.077. Which is the fourth biggest value? (a) -1\/4 (b) 1 (c) 2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((5 - (34 - 12)) + 10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 4) to base 5\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2864 or -2908?\nAnswer: -2908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {k: 3, u: 7, b: 6, p: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12069222 or 1?\nAnswer: -12069222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 5, -0.1, 1\/8 in decreasing order.\nAnswer: 5, 1\/8, -0.1, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-29496)\/417860)\/((-1)\/85)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1227, 5 in descending order.\nAnswer: 5, -2, -1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -8 - 1 - -11) + -3 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -12 - (-36)\/(45\/5). Let r(u) = -5*u**2 - 17*u. Let x(j) = 3*j**2 + 11*j. Calculate y*x(f) - 5*r(f).\nAnswer: f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 599 - (5 - 48\/8). What is y rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12180698 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2549*z - 1820 = -2562*z. Calculate the highest common divisor of z and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 6*d**2 + 2*d**2 - 5*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + t = -2*t, 4*s - 4*t = 0. Let w be 1 + -2 + 221\/224. Let q = w - -73\/672. Which is the closest to s? (a) -1\/6 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by ((-4)\/14 - 0) + (-4736)\/(-259).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 7*d**2 - 8*d + 6. What is r(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 82. Solve 2 = n*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12753*p**3 + 2*p**4 + 2 - 2*p - 12758*p**3 - 15*p**2 - p**4 to f*p**4 + b + y*p + x*p**2 + a*p**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + n**2 + n + 2. Let c(b) = -5*b**3 + 6*b**2 + 87*b - 84. Let t(h) = c(h) - 2*i(h). Let t(f) = 0. Calculate f.\nAnswer: -8, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -335, -3185, -11015, -26315, -51575, -89285, -141935, -212015?\n\"Answer: -415*o**3 + 55*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/202 and 51\/4.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2515\/18 - 1259\/9. Let s be (6\/(-22))\/(-3)*-2. Which is the biggest value? (a) z (b) 0.04 (c) 5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 3*f**2 + 4*f. Suppose -2*v + 294 = 29157*s - 29159*s, -5*s = 2*v - 294. What is the remainder when v is divided by x(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-3)\/12*-4. Let b(f) = 2 - 2*f**p - 2. Let u(m) = -16 + 16 - 7*m**2. What is b(u(o))?\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 21 - 19. What is the remainder when 36 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 51464.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.6137 centuries in decades?\nAnswer: 936.137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -11. Let h = q + -13. What is the third smallest value in -2, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + d**2 - 15*d**2 - 4*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -3. Let s = -2 - y. Let j be (-2)\/(-5) + ((-1139)\/85 - -13). Which is the fourth smallest value? (a) 2\/11 (b) -1\/6 (c) j (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cllcllccclulclcucc. What is prob of picking 1 l, 1 c, and 2 u?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 47423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-524)\/(-40) - (-6)\/180*3) + -75\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 39900*v**3 - 99440748*v**2 + 298681452*v.\nAnswer: -4*v*(v - 3)*(v + 4989)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0*s**2 + s**2)*(-s + 8*s + 1 - 2).\nAnswer: -14*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42728573141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68868.72l to millilitres.\nAnswer: 68868720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961226965 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*t = -132*t + 70. Calculate the smallest common multiple of 9 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 17 + 1 = -3*r, 0 = 3*v + 235 - 232 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5510142.\nAnswer: -1\/5510142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 196307342.1 to the nearest one hundred thousand.\nAnswer: 196300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -259?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k**3 - 9*k**2 - 7*k - 13. What is the thousands digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, y: 10}. Give prob of picking 1 y and 3 w.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305 - 297. What is the smallest common multiple of 14 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2. Let f(j) = -23*j**2. What is g(f(d))?\nAnswer: 2645*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c**2 + 11*c + 2. Let w be s(-2). Let m be (w\/8)\/7*71. Let g = -60 + 95. Is g less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 32. Let f = j - -17. Suppose -v - v = -8. Solve -2 = -v*x + f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -416 or -408?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.01611 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -3 - (-1)\/(-1). Let k(g) = -8199*g**2 + 2*g + 1. Let c be k(l). Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 18. Suppose 2*k + 0*k - y = 0. Suppose k = 4*o - 0*o. Which is smaller: o or 5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4937*z + 17925. Is y(76) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4950 divided by 75.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26863, -26856, -26845, -26830, -26811, -26788, -26761?\nAnswer: -26730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-15)\/6))\/((-104)\/260)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 27*d - 42*d + 56 - 44*d + 2*d**3 + 64*d.\nAnswer: 2*d**3 - 49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 52*v**2 + 25*v + 26. Let m be s(1). Suppose 0 = -2*q + 4*q + 4. What is the nearest to m in 0, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1, -0.5, 6, -30, 1\/82 in decreasing order.\nAnswer: 6, 1, 2\/9, 1\/82, -0.5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) -1 (c) -1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -268 - 500. Let c = -63 - p. Let x(k) = -14*k**2 + 6*k + 3. Let g(l) = -27*l**2 + 11*l + 5. Let d(f) = 4*g(f) - 7*x(f). Calculate d(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v**(-1\/4)\/v*v*v)\/(v*v**(1\/6)*v\/(v*v**0)) assuming v is positive.\nAnswer: v**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4 + 1. Let p = s - -4. Determine i so that -5*i**3 - 7*i + p + 24*i**2 + i**3 - 8*i**3 - 8*i = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 1 (c) -4 (d) -16.48 (e) 1\/9 (f) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 3*o + 192. Determine g(0).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*x - 4*w, -2*x = -6*x - 5*w. Suppose 0 = -4*k + 4*u, -x*u + 5 + 7 = k. Solve 17*i**2 - 31*i**k + 10*i**2 + 20*i = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2531?\nAnswer: 2\/2531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -13, 24, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 145 - (4 + -2 + -1). What is the greatest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 24*b + 5. Let f(g) = -19*g - 4. Let s(v) = 5*f(v) + 4*o(v). Let j be s(4). Solve 0 = -2*w, -3*z - w - 2 = -j*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*k + 8 = 0, 1 - 9 = 3*q + 4*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccccccccccc. Give prob of sequence cc.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15502724 to the nearest integer?\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-54 - (-19 - -2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 12*k - 4. Suppose 5*y - 4*y + 13 = 0. Let p be x(y). Suppose p = 6*z - 9. Solve -2*a = z*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13 + 2*h**2 - h + 17 - h**2. Let b be (-5)\/((-2)\/2) + -2. Calculate the remainder when 19 is divided by c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -801\/106 - -3\/53. Let g = -30 - m. Which is the second biggest value? (a) -2 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1243 and -57.3.\nAnswer: -1300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 725147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -0*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*b + 8. Let d be 6\/(96\/(-28))*(-7)\/49. Find x such that 6*x + 2*x**3 + 9\/4 + 11\/2*x**b + d*x**4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 396 + 5364. What is the remainder when u is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20135*w - 36651*w + 23252*w.\nAnswer: 6736*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 112*q + 88*q = -108, -2*r - 2*q = -0*r - 72 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(768))\/(sqrt(2592)\/sqrt(8)).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 7*l**2 - 2*l - 5. Let j be z(4). Suppose j + 19 = 3*t. Calculate the remainder when 7*(13 + -5 - -2) is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 1, u: 11, x: 3, t: 2}. What is prob of picking 1 w and 1 u?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1191.57 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 63329766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4904 + 6445. Calculate the greatest common factor of y and 402.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.54 rounded to the nearest 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 1. Let a(c) = -c**2 + c. Let q(b) = -3*b**2 + 5*b + 1. Let u(v) = 5*a(v) - q(v). Give -3*n(d) - 7*u(d).\nAnswer: -d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44217 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-833)\/(-147))\/(7\/2247) is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (450\/12)\/15*598\/65.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 17713415913912.5.\nAnswer: 17713415913911.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6664 (base 12) to base 2\nAnswer: -10110000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9379\/4575 - 134\/61. Let k = -278201\/23676 - -2\/5919. What is the common denominator of k and r?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/15 + -4)\/(30\/(-18) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*p - 12 = 0, -6 = -t - 3*p + 4*p. What is the fourth biggest value in -2, 1\/6, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*n - 42*n. Suppose -5*k = -o - 17 - 116, n = -k + o + 29. Solve -k*z - 28 = -19*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4022 + 0.0482. Round p to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h + 2. Let l be f(-4). Let y be (1*-2)\/(l\/3) + 3. Suppose -23 = -y*t + 61. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 + 11*s + 22. Calculate the smallest common multiple of w(-10) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215470 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-383*a - 2601*a + 578*a - 1057*a)*(2*a**2 - 4*a**2 + 0*a**2) in the form p*a + y + c*a**2 + t*a**3 and give t.\nAnswer: 6926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1079\/5160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031793400 rounded to the nearest 1000000?\nAnswer: -2032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -664.5599 to zero decimal places.\nAnswer: -665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 809, -0.79?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149 or 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.23 + 4.77. Let w = -0.38 + 0.08. What is the smallest value in -2, w, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77, -152, -217, -266, -293, -292?\n\"Answer: j**3 - j**2 - 79*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-98)\/21*(-3 - (-3)\/7). Solve -9*z = d - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 3. Let z = d + 0.2. Let o = -7 + 7.1. Sort o, 1, z in ascending order.\nAnswer: z, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 0.2. Let c = -410\/3 + 137. Let w be (-1)\/15 - (-4)\/(-12). What is the biggest value in c, w, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 + 415\/15. Suppose l - 2 = 5*k. Find the third derivative of 2*v**5 - 5*v**2 + v**5 - 6*v**k wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3202379, 3202381, 3202383, 3202385, 3202387?\n\"Answer: 2*x + 3202377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -52. Calculate the highest common divisor of 286 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b0c - -c?\nAnswer: -2b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -39. Let q = 199046.0003 - 199065. Let c = q + t. What is c rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/950? (a) 973 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 4*g**2 + 2\/5*g**5 - 8*g - 77 - 2*g**4 + 2*g**3. Solve k(q) = 0 for q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 13181967?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*x - 53 = 5*c - 893*x, -2*c - c - 2*x = 29 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 138*q**2 + 85*q**2)*(3*q + 2*q - 2*q).\nAnswer: 675*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, -3, 1\/10, -16 in decreasing order.\nAnswer: 15, 1\/10, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 499696355 to the power of 1\/2, to the nearest integer?\nAnswer: 22354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 + 12*y - 16. What is the tens digit of m(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22262 - -39834. Is 232 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247\/61 or 3?\nAnswer: 247\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12187 - -12196. Put 0.5, 5, 0.4, g, 0.3 in decreasing order.\nAnswer: g, 5, 0.5, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + r**2 - 1\/6*r**3 + 4*r. Let m be p(-2). Solve 5*g = 4*t - m, -3*g + 4*g + 4 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 - 48. Suppose 3*z + v = 82, -4*z + j = v + 2*v. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141404 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/28 and 95\/7492352.\nAnswer: 7492352","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4004)\/15015)\/((4\/(-30))\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 10*w**2 - 21*w - 26. Let r be x(6). Sort 3, r, 2 in descending order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.94 - 6.54. Let b be -4 - -2 - (-6)\/5. What is the nearest to 2 in o, -0.3, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -2)**2 + -4.\nAnswer: -36*sqrt(19) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150911705 to the power of 1\/2, to the nearest integer?\nAnswer: 12285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -192309.\nAnswer: 2\/14793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 2*n + 2 + 3*n + 0*n. Let b be -2*(3 + -3 - 1). Give v(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.19801 to 2 decimal places.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w**5 + 2)*(-8 + 145 + 75)*(-6 - 1 + 2).\nAnswer: 1060*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o - 3. Let p be l(-6). Let c = -6 + p. Let y be (-5)\/(9\/c - -2). What is the highest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14906*r**3 + 24*r**2 + 72*r + 25. Is i(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3 + 696128*a**2 - 30288529232*a + 121142979136 = 0.\nAnswer: 4, 87014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 5776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*s - 4*x, -27 = -113*s + 116*s + x. Let j(q) = -q**3 - 11*q**2 + 2*q + 9. Give j(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4328 in -0.4, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*r + 92, 3*x - r = -0*r + 56. Suppose 0 = 6*v - x - 5. Solve -5*g + 1 = -v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856644.\nAnswer: 2, 3, 71387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.16 + -1.16. Which is the nearest to 2\/7? (a) -2\/15 (b) -0.2 (c) 3\/4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 + 84205*u**4 - 336880*u**3 + 336900*u**2.\nAnswer: 5*u**2*(u - 2)**2*(u + 16845)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 1, k: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6338240343 - -0.03\nAnswer: 0.6638240343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.036? (a) -0.3 (b) 1\/2 (c) -28\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d - 6. Determine o(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(24*v + 21*v + v)*(-3 + 7 - 3) + 2*v - 1 + 1 + 5*v + 0*v - 4*v + (-v + v + v)*(-3 + 6 - 1) + 0*v + 3*v - v - 5 + v + 5.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 187.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1402687 weeks to nanoseconds.\nAnswer: 84834509760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:44 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.3 from -178.08.\nAnswer: -201.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5\/4 - 172605*p**4\/4 - 7773171*p**3\/4 - 7427955*p**2\/4 + 1943292*p + 1900140 = 0. Calculate p.\nAnswer: -44, -1, 1, 57580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1496895 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least as big as -94\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-6)\/(-2))\/3 - -25. Let g = z - -48. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, -111, -1, 1.\nAnswer: -111, -29, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 2*p**3 + 3*p + (1 - 1 - 3*p**2)*(p + 1 - 1) + 4*p**3 - 6*p**3 + p**3 + (0*p**2 - p**2 + 0*p**2)*(p + 0*p + p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 + 2 = 0. Let t = 0 + n. Which is the closest to 1? (a) -1\/4 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*y - 3*c, 2*y - 5*y = -4*c - 57. Let g = -19 + y. Suppose -8*b + g*b = -356. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/3 - 1348*d\/3 - 3129 = 0.\nAnswer: -1341, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12376, 12363, 12350, 12337, 12324?\n\"Answer: -13*x + 12389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2407512 millilitres to litres.\nAnswer: 0.0002407512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(13\/3)\/a*a))\/a)**19*a\/a**(1\/29)*a\/(a**(-29)*a)*a)**11 assuming a is positive.\nAnswer: a**(-49159\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 17 = k, 8*k = 4*p + 6*k + 14. Let n be (p\/((-16)\/(-10)))\/(2\/(-4)). Solve n*q - q - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 12 = -3*c, -4*c + 13 = 2*y - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 587497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3*n + 2*n)*(40 + 5 + 71) + 2*n - 3*n + 0*n - 3*n + 0*n + n - 1 + 1 + n + (-3 + 3 + 2*n)*(3 - 1 - 1) to the form l + p*n and give p.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 21*o - 132. Let z be h(-15). What is the greatest common divisor of 1203 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/64 and 7\/5?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740617 is divided by 2986?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 3, g: 6, j: 2, v: 4, e: 4}. What is prob of picking 1 g and 1 j?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635193 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2509.839 - 2533.9. Let s = 0.061 + h. Let g = s + 23.99999938. What is g rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6455.97065 rounded to the nearest integer?\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2278*y - 1139*y = 1134*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53283, 50806, 48329, 45852?\nAnswer: 43375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189028369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**0))**38\/(x\/x**0*(x\/(x\/((x**(-2\/9)*x)\/x)))\/x*x) assuming x is positive.\nAnswer: x**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 3. Let c be y(9). Let u be -1*4\/c + 32\/(-12). Let m be 1\/(-3) - u\/(-3) - -5. Solve -4*f - v = -14, -f - v - m = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, q: 1, l: 1, z: 1}. Give prob of picking 1 b and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9 (b) -3 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7121*h**2 + 2 - 352*h**2 + 2892*h**2 - 175*h**2 to the form t*h + s*h**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a54 - 3?\nAnswer: 4a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848067436?\nAnswer: 2, 462016859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 5132*y\/3 + 17240\/3.\nAnswer: -4*(y + 431)*(3*y - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 - (-9 - -6)*(-1)\/3. Let j be -2 - (1005\/z + 4). Let t = 2209\/28 - j. Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/(-24) - 1075\/(-20) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 53 - 204 - 115 + 16*r. Let b be t(13). Solve -i - 5 = b*u, u + i = -0*i - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/22 + (-1128)\/(-5170)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 4. Let a = -15 + c. Solve -2*t + a*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -40.\nAnswer: -29\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 845\/50 - (561\/(-85) - -6)?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89415505*j**3 + 178830812*j**3 - 89415322*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/17*s**3 + 2\/17*s**2 + 2\/17*s**4 + 0*s.\nAnswer: 2*s**2*(s - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*r + 5*r. Let k = 1 + r. Let d be (k - -1)\/((-8)\/4). Sort 5, -3, d in descending order.\nAnswer: 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 1840\/70 - 3\/(63\/267)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, 1929, 58, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21515.\nAnswer: 5, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1122021201112 (base 3) to base 9\nAnswer: -1567645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o + 100 + 4*o**2 - 14*o - 22*o.\nAnswer: 4*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 4. Suppose -c*k + 5*w + 25 = 0, -w - 5 = -10*k + 5*k. Let n = k - -2. Solve -2*d - n = -12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 15 = 3*i, d + 3*i = -10. Suppose x + 2*o = -10, -o + 29 = -d*x - 4*o. Let t be (-1)\/(-5) + (-27)\/(-15). Put t, 1, x in ascending order.\nAnswer: x, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -41. Which is the third biggest value? (a) 3 (b) 1\/4 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-5 - (-9 - -16))) + -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 660 + -648. Sort n, -0.01, 0.4, 4 in ascending order.\nAnswer: -0.01, 0.4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfcdfudccuffpuu. Give prob of sequence pf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 - 1)*8\/12. Let x be (0\/(-1) + 0)\/(-1). Let s = l - x. Solve -2*n + s = -2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*y + 26, 2*y - 6 = 6*m - 2*m. Let z(c) = -8 - 18 - 18*c + 64*c + 4*c. Is z(y) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.478 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-1)\/(-1))*(-619)\/(-1238).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f + 120*f + 209 = -379 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-77))\/1*4\/(-10)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205 - 143?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + z = 72, 2*a - 4*z = -0*z + 36. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16*d + 2*d + 2044 = 0. Which is greater: -56 or d?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002791 rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.1 (b) -213 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/69 - (-362)\/(-96) and -77\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 + 7)*((z**2 + 7*z - 7*z)*(2*z + 3*z - 29*z) - 2*z**3 + 2*z - 2*z).\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = 3*d, -v + 2 = d + 2*v. Solve 0 = -d*w - 3*w - 4*b, w - 21 = -5*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 2402199.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 7. Let p(l) = 3*l + 6. Let d(m) = 4*a(m) + 3*p(m). Let n be d(12). Solve 2*b - n = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 + 5*g**4 + 8 + 20*g**4 - 8*g**4 wrt g?\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 491 - 488. Solve 4*k + 10 + 0 = i, d*i = -3*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/35 (b) -0.2 (c) -3 (d) 0.1 (e) -4 (f) 491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/x)\/x*x*x)**(-12\/5)*(x*x**(-1\/52))\/(((x**(-31)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(5351\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2109 and 999.\nAnswer: 18981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75188 is divided by 3320?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4, 1247 in decreasing order.\nAnswer: 1247, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 0.7 (c) -12 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2134 = 193*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/5 (b) 5 (c) -1\/11 (d) -136 (e) 0.3 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/606 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43944 = -314*t - 69378 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30845, 61477, 92109, 122741, 153373, 184005?\n\"Answer: 30632*k + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a - 2. Let w be c(8). Let j = w + -10. Calculate the highest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20222111010010 - -11?\nAnswer: -20222111002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/129773 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 26*u**2 - 416. Let l(z) = -z**2. Determine a(l(t)).\nAnswer: 26*t**4 - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -110220010120?\nAnswer: 110220010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**(-8\/9)*u)\/u)*u\/(u*u**(-6)*u) assuming u is positive.\nAnswer: u**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -769 - -769.58. Let d = 0.06 - -0.04. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:03 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k - 758. Suppose -k = 11*d + 3147. Let v = d - -1274. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 133*m**2 - 129*m - 649. Let c be h(134). Calculate the highest common divisor of c and 11109.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 9)*(-3*z + 5*z - 16 + 3*z) - 1 + 1 + 2*z to the form y*z + g and give g.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -18*q**3 + q**2 + q + 2. Let n be y(-1). Calculate the highest common factor of 100 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 11. Suppose 0 = 2*g + 3*k + 7, 0 = -f*g - 3*k - 9 - 2. Let o = 3 - g. Solve 0 = 5*n + 5, -o*b + 26 = -n - 0*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -25, -34, -47, -64, -85, -110?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 5. Let r be 4 - 6\/(-9)*3. Calculate c(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 112*s**2 - 1454*s + 1340.\nAnswer: 2*(s - 10)*(s - 1)*(s + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f - 2051. Let q be p(0). Let v = -45183\/22 - q. Find the common denominator of 5\/22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2637 - 1061. What are the prime factors of z?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1775 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6311, -6313, -6273, -6167, -5971, -5661, -5213?\n\"Answer: 4*r**3 - 3*r**2 - 21*r - 6291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftxtccftcc. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onva when four letters picked without replacement from naaotniavviovnonaov.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(9 + -62240) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 10. Let h(k) = 8*k + 31. Let s be h(-5). What is g(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2549*d + 5095*d - 2508*d = -3610 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03434 and -47544.\nAnswer: -47544.03434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five quarters of a hour?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 23*s + 9. Let r be z(23). Suppose 2*k = 2*n - 110, -7*n + k - 113 = -r*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*m + 3*v, 4*m - v - 5 = 2. Let k = m + 1. Solve -2*h = -k - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*l + 9, -7*l - 2 = 3*g - 6*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6167*f**2 - f. Let h be t(-1). Suppose h = 3*z + 1029. Suppose 4*k + y + 25998 = 0, k + 4785 = -y - z. Round k to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 267 + -119. Let m = r - 81. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 35*l**2 + 10*l - 200 = 0.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(((-220)\/693)\/(-10)). Solve x = 5*n + 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*k**2 + 203*k**2 - 66*k**2 - 70*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012221221122 (base 3) to base 11.\nAnswer: 403484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -224 - -226. Solve 15 = 5*a - 5*h, 2*h = -v*h - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axahxahhxahxhaaaaah. Give prob of picking 2 x and 1 a.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 1. Determine s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 52*m - 610. Let n be h(-17). Which is the second smallest value? (a) 5 (b) -4\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-4048)\/240)\/((-6)\/27).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8107*l + 341006 = -210270 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262021585.\nAnswer: 5, 7, 709, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21910 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 53*x**2 + 113*x - 215. What is the hundreds digit of t(53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*y - 163 - 28 - 51 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/14533475 and -76\/43600425.\nAnswer: 43600425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = r. Let g(a) = 2*a**2 + 1. Let v be g(r). Suppose -v*l + 200 = 2*l. Solve -4*d = 5*w + l, w + 3*w + 5*d + 41 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10088917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 967581 (base 11) to base 7\nAnswer: 16103061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, -89.69, -2\/5, -0.7, 10, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*o**4 + o**2 + 4 + o**3 - 55*o**4 + 0*o**3 in the form v*o**2 + w + m*o**4 + k*o + n*o**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/10 - (-54)\/15. Solve q*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39282788 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 - 14*t**3 + 8*t**2 + 56*t = 0 for t.\nAnswer: -7, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 2\/3*w**3 + 0 + 12*w - 5\/2*w**2 + 1\/20*w**5 + 1\/2*w**4. Determine t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424\/159*(-450)\/40\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 82.418+5\nAnswer: 87.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 14. Let m = 6 + -11. Let o = -3 - -3.1. What is the biggest value in m, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-7))\/(2\/84*12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83 - 362c9?\nAnswer: -3637c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 3}. Give prob of sequence hhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + 6. Which is smaller: g or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 31, 3, -25, -53?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022.8135 rounded to the nearest ten?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.82 + -46.9. Which is the nearest to 0? (a) 4 (b) -2\/75 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/55961 and -32\/9.\nAnswer: 503649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5219 + -3547. What is the units digit of 4\/14 - s\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {x: 3, f: 2, e: 1, z: 1, m: 3, i: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from rjajpjjjrjjrapa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 - 253. Solve 3*s + q*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -8. Let u = o + 11. Let b = u + -3. What is the smallest common multiple of b and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2921874*c**3 - 3*c**2 - 2*c - 2167 wrt c.\nAnswer: 17531244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 78080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101387 and 2288.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 104\/(-260) + (-296)\/(-40). Let w = -7 - -45. Suppose -i*x - w = -66. Solve 0 = 2*p - x + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 - (-1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 12) to base 16\nAnswer: -fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i - 2*i)*(i**2 - i**2 - i**4) + (-2*i**2 + 2*i**2 + i**4)*(15*i + 4*i + 4*i).\nAnswer: 27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100926 - 100927. Let f = -17.69 - 0.31. Which is the closest to z? (a) 3\/4 (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 - 42*v + 42*v + (v - 2 + 2)*(-5*v + 4*v + 0*v))*(v**3 - 2*v**3 + 2 - 3).\nAnswer: -7*v**5 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50777 - 50776.74997. Let z = -0.25 + n. What is z rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -18*r**2 + 113*r + 2. Let i be 14\/392*-7 - 25\/(-4). Let t be v(i). Calculate the greatest common factor of 224 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49578, -49575, -49572, -49569, -49566, -49563?\n\"Answer: 3*m - 49581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3895, 3847, 3767, 3655?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -792 divided by 8.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 2\/33 (b) -0.47 (c) 0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((18\/(-15))\/(-1)*-5)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-2*2)))*5)\/(4*1*sqrt(567) - (sqrt(567) + (sqrt(567) - -3*-1*sqrt(567)) + sqrt(567))).\nAnswer: 25*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -85\/12878258?\nAnswer: -85\/12878258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*b**2*g**3*v + b**2*v - 4*b**2 - g**3*v - 4*g**2*v wrt g.\nAnswer: 666*b**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/2323?\nAnswer: 4\/2323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*w - 70 = 118*w. Suppose 0 = 3*p - x - x - 30, 0 = 4*p + 2*x - 26. Put -2, 4, w, p in descending order.\nAnswer: p, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 62*u - 2412. Let k be a(39). Solve -17 = -o + 5*n, -3*o + k*n + 3 = 7*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1 + 0 + -2). Let k = 3 - 7. Let f = -0.12 + 0.42. Which is the nearest to w? (a) k (b) f (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*g = -42, 88045*g - 88047*g + 30 = -4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, -32, -2, 9 in decreasing order.\nAnswer: 9, 3, -1, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, y: 4, p: 2, g: 3}. What is prob of picking 1 w, 1 p, and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 8*o**2 - 16*o + 74. Let j be d(9). Suppose j = -13*q - 2. Which is bigger: -2\/705 or q?\nAnswer: -2\/705","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 4*q - 407. Suppose 0 = -d - 4*t + 111, -5*d + 155 = -3*t - 377. Let m = q - d. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*b - 1361 + 1371, 5*t - b = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1497 divide 90640192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3642 is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -804 (base 15) to base 7\nAnswer: -5155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-94)\/6 + (-2)\/(-3). Let d = 1 + -5. Let m = d - y. Solve 0 = 4*l + 20, -2*t + m = -2*l - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - 2*d**4 + 2*d**4)*(-67 + 214 + 82).\nAnswer: -458*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 2*t - 5*n + 110, 2*t = 2*n + 48. Let w = 38 - t. What is the smallest common multiple of w and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b + 199 - 199.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 2*u + 5. Let v be c(3). Solve 5*h + 8 = -v, l = -2*h - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(627)*5 + sqrt(627))\/sqrt(11))\/(sqrt(192) - (sqrt(192) - (sqrt(192) - -1*sqrt(192))*6)).\nAnswer: -3*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -1\/4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 58 + (-76 - -4)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 0, -4, -1, 2, 3, 1975 in increasing order.\nAnswer: -96, -4, -1, 0, 2, 3, 1975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1828 + 5485\/3. Which is the closest to p? (a) 0 (b) -2\/9 (c) 2\/25 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 569 + -14227\/25. Let t = -8\/25 + u. Which is the closest to t? (a) -5 (b) 3 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32209?\nAnswer: 31, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n + 8. Let v be b(6). Let u = 363 - 341. Suppose -u*l - 16*l = 0. Solve l*h - v*h = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 121\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 141115.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -11159.\nAnswer: 5\/11159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let j(b) = -b**2 + 4*b - 1. Let i(y) = -j(y) + 4*z(y). Let t(r) = -96 + 28 + 25 + 19 + 23. Give -5*i(h) - 5*t(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 3*o + 14*o - 4.\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -u. Let f be ((-44)\/(-12))\/(1\/3). Let c = f - 2. Calculate the least common multiple of u and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 1, k: 5, l: 4, p: 1, r: 6}. Give prob of picking 1 f and 3 k.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from {d: 6, n: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 154090.8 centimeters?\nAnswer: 1540908000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 171 = -3*l, 3*z = -0*z - 2*l + 269. Suppose -z*s + 108*s - 30 = 0. Find k such that 3\/2*k**2 - 6*k + s + 5\/2*k**3 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 1 + 4*u**4 - 32\/15*u**6 + 0*u**2 + 0*u**3 + 0*u**5 + 3*u. Find the third derivative of z(p) wrt p.\nAnswer: -1536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**5 + 4*b**3*d**3 + b**3*d*h - 4*b**2*d**3*h + 5*b**2 - b*d**2*h wrt b?\nAnswer: 180*b**2 + 24*d**3 + 6*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752322174.\nAnswer: 2, 3, 53, 541, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70783935.\nAnswer: 3, 5, 379, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230020*m*w**3 + 5524153*w**3 wrt m.\nAnswer: -230020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 891.67488 to one dp.\nAnswer: 891.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243880*m + 243877*m + 2*p = -22, 0 = -p - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2*l - 1\/3*l**3 + 3\/2*l**2 - 22. Let t(f) = 4*f**2 - 13*f + 8. What is -2*t(n) - 9*u(n)?\nAnswer: n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (3 + sqrt(252)*-2))*-1)**2 - (-2 + sqrt(252) + -1 - ((sqrt(252) + 1)**2 + 3))) + -3.\nAnswer: -102*sqrt(7) + 2533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Put together -7524.331138 and -3.6.\nAnswer: -7527.931138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1629\/18 + (-1)\/(-2). Suppose 0*z = -2*z - 5*o + 4, -4 = -2*z + 3*o. Let u(a) = -m + 91 + a + z*a. Let p(i) = 5*i**2. Give p(u(v)).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32 - -0.389. What is g rounded to two decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1590067, 6360291, 14310673, 25441219, 39751935?\n\"Answer: i**3 + 1590073*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15629, -15631, -15633, -15635, -15637, -15639?\n\"Answer: -2*p - 15627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 61 + 40 = 45 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 14 = -15*j. Let o(v) = -2*v**2 + 17*v - 16. Let b be o(j). Solve -3*q + c = -14, -q + b*c = 2*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 87*d + 1131. What is the remainder when 6967 is divided by l(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + w. Solve w = -2*k + y + 6, 0 = 5*k + 5*y - 31 - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(1\/16 - 0). Which is the nearest to s? (a) 0.04 (b) -1\/2 (c) 2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1424*k - 3820. What is the remainder when a(-22) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/27)\/((-3)\/18*1)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(-21) - 817\/(-903)) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1120 + 4?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 32 = -13. Let t(l) = -l**3 + 8*l**2 + 4*l - 4. Let c(h) = -h**3 + 7*h**2 + 5*h - 5. Calculate r*t(a) + 4*c(a).\nAnswer: a**3 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2162870 (base 12) to base 9\nAnswer: 12847383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11.7 * 2.03\nAnswer: 23.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -54, -63?\n\"Answer: -9*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.876324 to zero decimal places.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3131457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -193\/5. Let u = -1.991 + -0.009. Put a, u, 2\/3 in descending order.\nAnswer: 2\/3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69\/13, 3\/7, -3, 2, 1.2 in descending order.\nAnswer: 69\/13, 2, 1.2, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -201211110 (base 3) to base 5\nAnswer: -430312","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o\/o**(-5)*o)*(o\/o**2)\/o*(o*o**1)**13 assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*c + c - 3, -5*f + 4*c = -22. Suppose 0 = f*t + 2*d - 18, -5*t + d - 3*d + 33 = 0. Solve -14 - 11 = t*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 310, 286, 226, 112, -74, -350, -734, -1244?\n\"Answer: -3*v**3 - 3*v + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yayg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 542 - 536. Let f(x) be the first derivative of 6*x**2 - 8*x**3 + 3\/4*x**4 + 9\/5*x**5 + 0*x + g. Find d, given that f(d) = 0.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -18, -7, 30, 105, 230, 417, 678?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -556, -1268, -2286, -3622?\nAnswer: -5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4250347905.\nAnswer: 3, 5, 17, 23, 59, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282.1 - 17.1. Put f, -3, -4 in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -a - 0*w - 4*w, -106 = -3*a - w. Suppose 5*o + r - 3*r = a, o = -3*r. Let x(g) = o*g**2 + 12*g - 12*g + 2*g**2. Let t(j) = -2*j. Give t(x(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71219 + -71217. Factor 1\/4*q**3 - 1\/4*q + 2*q**x - 2.\nAnswer: (q - 1)*(q + 1)*(q + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3015 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 2384458.\nAnswer: 1\/76918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p + 2402 = 13*p + 4877 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3187533 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {j: 2, e: 14, d: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (884\/51)\/(34 - (-1768)\/(-51))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**7\/168 + s**5\/80 + 379*s. Factor i(j).\nAnswer: -j**3*(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86393975 divided by -86393975.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151 + 4?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.64 - -0.34. Which is the closest to -0.6? (a) q (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let i(n) be the second derivative of n**5\/30 + 3*n**2\/2 - 4*n. Let y(t) be the first derivative of i(t). Give y(d(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -15. Suppose 2*h = -3*h + p, 0 = -4*z + 5*h + 97. Suppose -10 = 6*k - z. Solve k*t - 15 = 0, -3*v + 2*t + t = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15 and 43\/348072.\nAnswer: 1740360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 20805.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z + 8*z - 5*z)*((-3*z + 3*z - 2*z)*(4 - 9 - 9) - 4*z + 14*z - 4*z) to t*z + f*z**2 + p and give f.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 3*l**3 + 4*l**2 + 5 - 3 - 5*l**2. Suppose -20*z + 23*z + 6 = 0. What is the least common multiple of s(z) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 4, v: 4, o: 5, u: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155689 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. What is the tens digit of -3*(q - 69\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/156 and 73\/624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2508 - 2508.06. Which is the smallest value? (a) -2\/5 (b) 1\/66 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6953*c + 140 = 6948*c, 5*k - 10*c + 34*c + 687 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(150\/100)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11))**2 + -5 - sqrt(33)\/sqrt(3)*-6.\nAnswer: 2*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 412517 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341605.\nAnswer: 5, 11, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 + 12*h**2 - 1 + 11 + 6*h. Let x(d) = 5*d**2 + d - 8. Let s(b) = b**2 - 5. Let f(j) = -2*s(j) + x(j). What is 11*f(p) - 2*y(p)?\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 444423248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23237, 51, -2\/5?\nAnswer: -23237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -6)\/8*0. Let z(a) = -a**3 - 2*a**2 + 5*a + 1. Let q be z(-6). Suppose -11*m + 16*m - q = t. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 3:15 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -0.15 in descending order.\nAnswer: -0.15, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t + 0*t**4 - 4*t**4 - 11*t**2 + 5*t**4 - 2*t in the form p*t + l*t**2 + b*t**3 + k + s*t**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or -11602\/63?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 22 = 3*g. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11350?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(85)\/sqrt(5))*6 - (3 + 1*sqrt(1700) + sqrt(1700)).\nAnswer: -14*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3 - 362\/184. Let q = 2039\/460 - h. Let l = 2\/73 - -4520\/219. Find the common denominator of q and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 1. Let k(h) = h**3 - 3*h**2 + h - 4. Suppose -3*x - 5*b - 19 = -0*b, -2*b = 4*x + 2. Give x*k(w) + 6*t(w).\nAnswer: 2*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(22\/(-8))*(-9)\/18.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 45*u**2 + 82*u - 209. Give z(21).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*((-3 - j + 3)*((5 - 1 - 3)*(0 + 3 - 1) - 1 - 3 - 3) + (-2 - 2 + 2)*(j - 2*j + 0*j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29088525 divided by 137.\nAnswer: 212325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909287225.\nAnswer: 5, 13, 31, 41, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b1c + -2?\nAnswer: -b1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3 + 15. Suppose 0 = -3*r + 6*r - f. Find the common denominator of ((-2)\/(-22))\/(5 - r) and -53\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 + -8. Let n = 0.9 + h. Do -1\/3 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6250310 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71\/12 + -20\/3. Is n bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(((-4)\/(-2))\/(-1)). Let m be 3 + k - 6\/(-6). Suppose 0 = 5*r - v - 99, -77 = -4*r - m*v + 8. Solve 4*i = -i - r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 99, 135, 161, 177, 183, 179?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 39. Let w = 102.7 - 105.7. Sort w, -0.1, -2, l.\nAnswer: w, -2, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-3 + (-1*sqrt(24))\/sqrt(12) + sqrt(2) + -1)*3)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499640 rounded to the nearest one thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-2 + (4*sqrt(209) - sqrt(209))*6)\/((-1*2*sqrt(77))\/(-1*sqrt(112))).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(33)*1 + sqrt(33))\/sqrt(11))*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 0*a**3 - 26*a**2 - 4*a**3 - 3*a**3 - 13 + 5*a**3. Let d be q(-13). Let 2\/9*h**3 + d + 2\/9*h + 4\/9*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*s = 2*j + 67, 2*j = s + 26. Calculate the remainder when 47 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 56*p + 54*p = -6, -5*n - 140*p - 400 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 15 (b) -1 (c) -116 (d) 2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693778 is divided by 620.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 1, n: 1, v: 2, u: 2, k: 5}. Give prob of sequence ub.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 28 = -3*q. Let z = 75 + -53. What is the lowest common multiple of z and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v + 3. Let r(o) = -7*o**2 + 3*o. Let s(c) = n(c) + r(c). Determine s(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8062 is divided by 3976.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46173274, -46173275, -46173276, -46173277, -46173278?\nAnswer: -46173279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 267921 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - 36\/(-12). Let r be (o - -6 - -1) + -4. Suppose -w + r*m = 2*m + 8, -3*m = -4*w + 2. Solve 0 = -2*y + 3*y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + (0 + -3 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 11*m + 5*m**2 - 6*m - 7*m as v + n*m**2 + u*m and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (-4 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -129. Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-242048)\/(-61))\/(-62))\/(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 58*i = 528 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 5*p - 9, 3761*x = 3765*x - 5*p - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.17696\nAnswer: -0.53088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2267*b + 2188. Determine r(1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2799 - 2792. Let i = -9 - -6. Sort 3, p, 0, i in ascending order.\nAnswer: i, 0, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from oososomooomwoo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.98 + 21.965204. Round a to four dps.\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 450?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(28) + -2 + sqrt(63) + 0)*4 + 2*(5 + sqrt(28)*4 + sqrt(7))))**2.\nAnswer: 5472*sqrt(7) + 364032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.3 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21669416233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = i + 3, -8*i - 3*v + 23 = -4*i. Let g = 6 - 3. Suppose 3*p = 2*l - 9 - 10, i*l = -g*p - 11. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (20 + -1 + -22 + 24)) + -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and -19\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w*w**(6\/13)*w)\/w)))**(1\/60)\/(w**(2\/11)*w*(w\/(w\/(w\/(w**(7\/3)*w*w*w))))\/w) assuming w is positive.\nAnswer: w**(11943\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) -0.3 (b) -0.04 (c) 3 (d) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = -17*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q - 1. Suppose -5*f = 2*n + 18, -5*n - f + 2 - 1 = 0. Let m be u(n). Let r(c) = c - 4. Let l be r(6). Sort m, l, 4.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013103033 + -113213?\nAnswer: 1012323220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -abd93e (base 16) to base 13.\nAnswer: -2444286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 3, h: 4, c: 1, f: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088963 is divided by 522034.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 129*o - 95. What is x(31)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -26*h**4 + 11*h + 10. Let x(g) = -5*g**4 + 2*g + 2. Let q(b) = -11*x(b) + 2*y(b). Find the first derivative of q(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 1\/2*w**2 + 0*w - 1 - 1\/3*w**3. Let d(q) = -2*q**2 + 4*q + 2. Let v be (3\/(-9))\/(1\/(-9)). What is v*u(x) - d(x)?\nAnswer: -x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:47 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182957 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53402*t = -53397*t + 3*y + 45, t + 16 = 2*y - 4*y for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 237*w**3 - 119?\nAnswer: 711*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1)\/(27 + -28) + 10\/(-16).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**20)\/u*u\/(u*u**24*u) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20450249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {y: 7, x: 5, t: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -33*a + 9. Let u be h(-2). Calculate the highest common divisor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2532 by -2.\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(-18)*(-2205)\/(-245)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000011 + 100100?\nAnswer: 100010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let a(d) = 1767*d. Calculate i(a(y)).\nAnswer: 3534*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018 plus -3836347359?\nAnswer: -3836347359.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14 + c**2 + 10*c + 2*c - 2*c**2. What are the prime factors of z(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2 - 7)\/(-15))\/(2\/12). Let r(d) = 6 - 3*d - 880*d**q - 3*d + 879*d**2. Calculate r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyddpdidddd. Give prob of picking 1 p and 1 d.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4318, -6623, -10464, -15841, -22754?\n\"Answer: -768*b**2 - b - 3549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*w = 7*w - 3, 2*d - w - 17 = 0. Let x(p) = -p**2 + 14*p - 1. List the prime factors of x(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 63 = -h, -4*g - 40 = -3*h + 6. Let t = 21 + g. Let s(x) = 1. Let f(o) = -o - 4. Let r(v) = t*s(v) + 3*f(v). Determine r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + b**2 - 4*b**2 + (-703 + 237*b + 703)*(-4*b + 3 - 3) as s + g*b + t*b**2 and give t.\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**3 + 2*t**2)*(1 + 3 - 5) - 120*t**2 - 677*t**3 - 14 + 679*t**3 + 16.\nAnswer: t**3 - 120*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210202101 - -11021101?\nAnswer: -10122111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*r**4 - 7516*r**3 + 82500*r**2 - 300564*r - 10648 = 0. What is r?\nAnswer: -2\/57, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2296*m + 4400*m - 2358*m.\nAnswer: -254*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + (sqrt(243) - (5*2*sqrt(243) + sqrt(243)) - sqrt(243) - (-2 + 1 + sqrt(243) + sqrt(243))) + 4)*-6)**2.\nAnswer: -202176*sqrt(3) + 5918832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 2, f: 1, r: 1, z: 4}. Give prob of sequence fzv.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -757 - -787. Suppose 4*l = 4, q*p = 25*p - l + 7676. What are the prime factors of p?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40693152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10393*c**2*m - 26884829*c**2 + 80*m wrt m.\nAnswer: -10393*c**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.3522218 + 13896.7056218. Let h = j - 14105.3533636. Let f = h - -217. What is f rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 14. Suppose -3*h + 42 = -0*h. Let g be x(h). Suppose -4*u + 0*u + 64 = g. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 19.4. Let z = i - -20. Let m = -0.64 - -0.14. What is the closest to -2 in z, m, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = j - 2*j + 19, 5*z - 3*j = 23. Suppose 3*m - 7 = -5*r + 3, -10 = -z*m - 5*r. Suppose m = y + 2 - 22. 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 11 = 5*r + 3*q, -2*r + 4*q = r + 5. Suppose 3*s - 4 + r = 0. Let y(k) = -k**2 + 9*k - 7. Let i be y(6). What is the greatest common divisor of s and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/12 - 11\/12. Let j = -3.8 + -1.2. Let o = j + 4.5. What is the third biggest value in -5, p, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + 0.37958.\nAnswer: 95.37958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -6, 0.2, 3 in descending order.\nAnswer: 51, 3, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 36287075?\nAnswer: -18143537.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, 7*h - 35 = 2*h + 3*v. Solve -4*t - 23 = -h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815.58 less than 1?\nAnswer: -3814.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -8 - -5 - -15. Solve -6 = -3*b + y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 42950872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 - t**3 + 17*t**2 + 810*t.\nAnswer: -t**3 + 810*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.4. Let d = 0.5 - b. Let y = d + -0.3999995. What is y rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 23*j + 6. Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 404.\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 79\/(-210) + 2\/3. Let b = 4\/21 - x. Sort b, 5, -3 in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 * -0.14\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let m(n) = n**2 + 29892. Give s(m(r)).\nAnswer: -3*r**2 - 89676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3949 + -1.485. What is h rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**6\/90 + v**5\/6 + 25*v**4\/36 + 7*v. Factor p(g).\nAnswer: g**2*(g + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**2\/2 - 3*r + 2. Let l be g(7). Suppose l*w = w + 4*x + 141, 0 = x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -811, -2, -2\/11 in decreasing order.\nAnswer: -2\/11, -2, -811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883685 is divided by 22656.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 - 6*o. Let q(d) = -12*d + 4*d**2 - 2*d**2 + 4*d**2 + 7*d. Calculate -5*j(s) + 6*q(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5 = -4*b, -2*b + 4*t = 9 + 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1747*d - 483 + 159 + 163 + 1758*d + 161.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*s + 10 = -75*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - 16) + 12 - -49) + -7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38\/9 - -193\/45. Let m = -868 + 884. What is the third smallest value in 2\/9, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 2*u**2 + 2*u**2)*(4 - 4 - 29*u**3).\nAnswer: -203*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 3)*(3 - p - 3) + p - 2 + 2 - 103 - 92 + 14*p + 194 to the form r + g*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*k)*(2 - 6 - 3) - 2*k + 1 - 1)*(-3 - 2*k + 3) + (-5 + 4*k + 5)*(-k + 2*k + 2*k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 9*u**2 - 13*u - 8. Let s be i(-6). Let a = s - -41. Solve -158*f**2 + 4*f + f**3 - 5*f**a + 158*f**2 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/6 - (6 - 11))*12 - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 50*i + 1. Let h(z) be the second derivative of -13*z**4\/12 + 3*z**2\/2 + 2*z - 1362. Determine r(h(l)).\nAnswer: -650*l**2 + 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 8*q**2 - 73*q + 586. Give h(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 203*w + 6 = -205*w, 0 = 3*v + 5*w + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 15 = 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 26*d.\nAnswer: d*(d - 104)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85128.\nAnswer: 2, 3, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 + 21 = 0. Let n(i) = -i**3 + 8*i**2 - 3*i + 3. What are the prime factors of n(t)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p + 57209 = -50311. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 722614.\nAnswer: 7948754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g - 2*g. Let z = -22 - -22. Sort 5, z, g.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 784 + -260. Does 13 divide (d\/(-10) - 0)\/((-18)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 4, a: 1, f: 1, z: 11}. Give prob of picking 1 f and 1 x.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**(-3\/10)*(u*(u*u*u*u\/(u**(11\/4)*u)*u)\/u*u)\/(u**(2\/15)*u*u))**(-12\/17) assuming u is positive.\nAnswer: u**(-61\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -4 - i + 0*i**4 + 0*i**2 + 2\/3*i**3 - 1\/5*i**5. Suppose q(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/15 in -0.2, 2\/5, 1\/3, 0.7, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 525241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 8*v + 2314 = 0. What is the remainder when v is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-4)\/(-6) + 296\/60). Which is smaller: s or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = z. Put z, 6, 0 in descending order.\nAnswer: 6, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(3 + 2) - -6. Let g(p) be the third derivative of 0 + 1\/24*p**4 - 3*p**2 - 5\/6*p**3 + 0*p. Calculate g(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 2112*y**2 + 4212*y + 2104.\nAnswer: 4*(y + 1)**2*(y + 526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:47 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 smaller than 41801\/1144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829006.2ng to grams.\nAnswer: 0.0008290062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*b**2 + 2)*(0*b**3 - b**3 + 3*b**3 - b - 2*b**3 + b + (1 - 1 - b)*(4 - 4 + 2*b**2) - 3*b**2 + b**3 + 3*b**2 + 30*b**3 + 17*b**3 + b**3).\nAnswer: -94*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 5*v - 3*v)*(111 - 28 + 157 + 65) in the form f + b*v and give b.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m - 7*y + 3*y, -2*y + 6 = 3*m. Suppose 4*i - 4*l + m*l = -12, i + l - 3 = 0. Which is bigger: i or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3242238 is divided by 540371?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 - 15609*f**3 - 20295594*f**2 + 20342436*f + 40622424 = 0.\nAnswer: -2602, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -107. Let x be (j\/25 + 1)*-10. Suppose -25 = -x*i - 5*g, i = -i + 3*g - 15. Solve i = -0*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + f + 1. Let h(l) = -94*l**3 + 2*l**2 - 2*l - 29. Let u(g) = -h(g) - 2*j(g). What is the derivative of u(t) wrt t?\nAnswer: 276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((((d*d**13)\/d)\/d*d)\/d*d))\/d*d)**(-2\/43))**(-3\/2) assuming d is positive.\nAnswer: d**(-36\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 9 - 45. Suppose 141 = -u*o - 21. Let d = o - -30. Solve w + d = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-10)*(-2)\/(-8)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nowaf. What is prob of picking 1 o and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12 and -70\/177.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9535276 decades in years?\nAnswer: 9.535276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1188)\/(-10) - (-8)\/40. Let q(w) = -w**3 + 4*w**2 - 2*w - 3. Let f be q(3). Suppose f = 2*v + 31 - h. What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**5 + 949*r**4\/4 + 4603*r**3\/3 + 1938. What is the third derivative of s(p) wrt p?\nAnswer: 120*p + 5694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 30 + 2*q**2 - 46*q)*(5 + 1 - 4) to c + i*q**2 + b*q and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035143117?\nAnswer: 3, 7, 17, 41, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 276 and -277?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334 (base 6) to base 12.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273146.\nAnswer: 2, 136573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -6, -x + 57 = 5*v. Suppose p - 5*z - 27 = 0, 5*p = 5*z + x + 13. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 318497479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 2 + 0 + 2*z**2 + (-7*z - z - z)*(-z + 23*z - 6*z) to i*z**2 + w + p*z and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*((2 + 2*h - 2)*(3*h - 4*h + 3*h) + 2*h**2 - h + h + 2*h**2 - 2*h**2 - h**2 + 4 - 2*h**2 - 4).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5\/2 + 3*m**4 - 3*m**2 - 3*m\/2 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(12\/5))**23 assuming y is positive.\nAnswer: y**(506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 9735, -2, -7, 2, 3 in ascending order.\nAnswer: -13, -7, -2, 2, 3, 9735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*l + 8 + 4, -4*l + 28 = 5*d. Let z be 1\/(110\/130 + d\/26). Let c = -5 - -7. What is the closest to z in -2\/13, c, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 - 828004*g**2\/5 + 13248256*g\/5 - 10598656.\nAnswer: -(g - 8)**2*(g + 828020)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 10 = 41*r. Let v = 0.54 + 0.06. Let y = v + -0.3. Which is the closest to -0.1? (a) y (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145.2 at least as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t - 48 = -68*t. What is the remainder when t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z - 1. Let h(u) = -4*u**2 - 5*u - 6. Let p(g) = h(g) - 6*y(g). Calculate the remainder when p(-4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470 greater than or equal to 3471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 + 6*s - 5. Let n(u) = -u**2 + 1. Determine -3*n(g) - v(g).\nAnswer: -2*g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -1031210134?\nAnswer: 1031210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14.9 and 1628353.8568?\nAnswer: 1628368.7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 820.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1537, -4, -7, -1 in ascending order.\nAnswer: -7, -4, -3, -1, 1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 634169.3l?\nAnswer: 634169300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ajiijjijjiai?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l - 2. Let r be h(-2). Suppose -5 = 3*i + r*s, -4*s + 16 = -0*s. Let k be (1 - i)*(-1290)\/(-8). What is k rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 8 + 20. Suppose -g + 3*s = -n, -4*g + 2*s - 5*s = -71. Suppose p - g = 39. What is the highest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101352 and 2337?\nAnswer: 1925688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 5\/12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -y, 3*y - 39*v + 12 = -36*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2065688 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/2 + b. Suppose 2 = 8*o - 22. Let k(x) = -9*x. Let j(d) = o*k(d) - 8*g(d). Let s(n) = -5*n. Give j(s(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 53, 823, 1, -3, -1 in ascending order.\nAnswer: -3, -1, 1, 53, 117, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -15, 3 in increasing order.\nAnswer: -15, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 7. Suppose 2*t + p = 4*t. Let c(h) = h**3 + 7*h**2 + 5*h - 4. Let d be c(-5). Solve -3*u - z + 16 = 0, 5*u + 0*u - t*z = d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 203695.9ml?\nAnswer: 203.6959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1972 and 69165?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 6452 and 303237\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/9406 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*x - 3*x**3 - 4*x - 15*x - 16)*(2 - 1 + 0).\nAnswer: -3*x**3 - 2*x - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105305 + 3?\nAnswer: -105302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7)*(-2)\/(-4). Let w be (9\/2 - 3)\/(189\/36). What is the smallest value in l, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 15, w: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -687 - -468. Let u = 214.92 + x. Let k = 4 + u. What is k rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 + (-67 - -43 - 2)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42842 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403885039 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*r - 32*r - 28*r)*((-r - 4*r + 7*r)*(-r - 5*r + 2*r) + 7*r**2 + r - r).\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*z)*(-24 - 25 + 30) - 4*z + 0*z + 0*z to m*z + p and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 744.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsesdasgsss. What is prob of sequence seg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.222 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*87\/11 - (-8)\/44. Let z(f) = 23436*f + 24. Let a be z(q). Round a to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7822 + 1?\nAnswer: -7821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/22 and -107\/3348104.\nAnswer: 36829144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + m = -v - 2, 2*m = 3*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003557175 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 11*m**2 - 11*m + 16. Let a be x(-12). Let c(j) = j**3 + 5*j**2 + 8*j + 6. Let s be c(-3). Solve 4*g + a*z - 12 = 0, -z = -1 - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 707511 - 2257511 = 0. What is f rounded to the nearest ten thousand?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-2*k - 24*k + 5*k)*(4 + 2 - 4).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13379283*g**3*r + g**2 - 6*g*r + 1249*r - 9 wrt g.\nAnswer: 80275698*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 131771960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/10 of a microgram?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2730.9999894492 - 2731. Round s to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 1, 6, 11?\n\"Answer: 5*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-12) - -3)*-2*(-452)\/791?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let y(i) = 3*i**2 - 316. Give y(x(m)).\nAnswer: 3*m**4 - 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320144804356620.24400022 + -320138797126817.244. Let n = 6007229749 - r. Let p = n + 54. What is p rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8 - 7*s**2 + 5*s**2 + 3*s**2 + 0*s**2. Let c(h) = 2*h**2. Calculate c(b(m)).\nAnswer: 2*m**4 + 32*m**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2102760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*b - 2, -v = -4*b - 52. What are the prime factors of (1\/4)\/(3\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1)*(-21)\/(-42). Suppose -h + 380 = n, 0 = -u*h + 5*n + 643 + 110. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, 5, 14, 25, 38, 53?\n\"Answer: y**2 + 4*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3 - 1. Suppose -q = -4*s + 11. What is the second derivative of -5*t**s + 2*t**3 + 3*t - 6*t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (712\/(-2))\/((11\/(-2))\/11). Let y = p + -486. What are the prime factors of y?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*w + 68*w - 109*w = -1936 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -931.8 + 936.8. Let v = 1.98 + 0.02. Which is the third smallest value? (a) v (b) 12 (c) -1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 87702 + 6*n**3 + 21*n + 5*n**2 - 16*n - 87720. Let k(x) = 9*x**3 + 8*x**2 + 8*x - 27. Calculate 5*k(l) - 8*q(l).\nAnswer: -3*l**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -43, -60?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + 2*(-3*(-3 + sqrt(3)) + sqrt(3) + 2))**2.\nAnswer: -160*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/50 + 25*k**4\/6 + 1281*k**3\/5 - 3969*k**2\/5 + 300*k + 1. Factor t(y).\nAnswer: 2*(y - 1)*(y + 63)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66976 and 65884.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c**0*c)**(-2\/67) assuming c is positive.\nAnswer: c**(-20\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -199471.08056 + -0.1055\nAnswer: -199471.18606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**6\/180 - s**5\/12 + 5*s**3\/6 + 4*s. Let q(t) be the second derivative of k(t). Factor q(l).\nAnswer: -2*l*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5. Let q = 0 + -8. Let x = q - o. Which is smaller: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9589077?\nAnswer: 3, 439, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206 + 18*t**2 + 206 to the form s*t**2 + h + l*t and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-280)\/12)\/10)\/((-1)\/15). Suppose 0 = 6*c - c - v. Let l = c - -9. Solve 0 = t + 3*t - l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246*0.5\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - h + 1. Let g be s(1). Let f = 633 + -637. Put f, 4, g, 6 in increasing order.\nAnswer: f, g, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 11 = -l. Let t(o) = o**2 - 4*o - 2. Let n be t(-1). Suppose 0 = -3*y - n*f, -3*f + 5*f - 10 = -4*y. Calculate the remainder when l is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 105*h**3 - 1660*h**2 = 0.\nAnswer: 0, 332\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -562*n + 433*n - 257734 + 257739 - 521*n as d + y*n and give y.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 677 = -g, 13*g = 8*g + 3*n - 3357. Is g >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 35 + 311. Let z = l - -100. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207448 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 + 5*x - 10. Let g(s) = s**2 - 1. Let b(w) = -11*w**2 + 4*w - 3. Let k(m) = -b(m) - 6*g(m). Let q(l) = -6*f(l) - 7*k(l). What is q(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 555*c**2 + 102168*c + 399600.\nAnswer: -3*(c - 300)*(c + 4)*(c + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - (-8)\/(-6). Is d < 2\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((-16)\/32 + 0). Let m(u) = 5*u**3 + 3*u**2 + u. Let j(f) = f**2 - f. What is y*m(t) - j(t)?\nAnswer: -5*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -114.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1468 in -96, -0.4, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let a be (-9 + 6)\/(2\/6). Let i be (l\/a)\/((-3)\/27). Is 3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 8 + 3 + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -178573, -178418, -178263, -178108, -177953?\n\"Answer: 155*m - 178728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2 + (sqrt(20) + (sqrt(60)\/sqrt(3) - sqrt(20)))\/sqrt(10))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) - (115\/25 + 1). Let a(g) be the second derivative of -g**5\/20 - 5*g**4\/12 + g**3\/2 + 3*g**2\/2 - 4*g. Determine a(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1539\/5814)\/(1\/34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.443 - -367.443. Let a = v - 366.9999698. What is a rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + 3*(sqrt(32) + sqrt(128)))**2 - (sqrt(96)\/sqrt(3) + 3)*5).\nAnswer: -20*sqrt(2) + 2572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7723.987 to the nearest ten.\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) - (((sqrt(1088)*2)**2 - sqrt(1088)) + sqrt(1088))))*4 - (sqrt(1088) - ((-1 + sqrt(1088))**2 + 2) - sqrt(1088)))*-5.\nAnswer: -92495 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 3*k - 9 + 9*k - 5*k**2. Let g be x(11). Suppose -2*p + 16 = -g*m, -4*m = p - 9*m - 20. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24111415*r**3 + 83965174*r**2?\nAnswer: -144668490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66\/43 - -5341\/258. Find the common denominator of g and -49\/475.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/(-2) - (-8)\/16. Let a be ((-322)\/8)\/(3\/x). Suppose -5*u + a = -469. What is the remainder when u is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*n + 2*k, -2*n + 41 = 3*n - 3*k. Suppose 2*x - 5*u = -12, 2*u - 5*u + n = -x. Does 5 divide ((-9)\/6 - x)*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 33 = -3*u. Let q(z) = -17*z**2 + u*z**2 + 4*z**2. Let v(l) = 3*l. Calculate v(q(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2562?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.624 + 2.5. Let o = 0.123947 + u. Round o to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - (-104)\/32. Let y(n) = -n**2 - 12. Let f(u) = -5*u**2 + u - 49. Let t(c) = 2*f(c) - 9*y(c). Let m be t(6). Sort k, 1, m in decreasing order.\nAnswer: k, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h. Let l(b) be the second derivative of -b**4\/6 - 49*b**3\/2 - 2807*b. What is a(l(i))?\nAnswer: 8*i**2 + 588*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3761 or -3762?\nAnswer: -3762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 58*s**2. Let i(y) = -y**2. Determine i(l(o)).\nAnswer: -3364*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3557292 and 224?\nAnswer: 199208352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -10. Let r = c - 7.3. Let b = r + 1.5. What is the third biggest value in b, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27586056.05936 from 0.05.\nAnswer: 27586056.10936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 13)*75\/9. Suppose b = 5*i - 10, 45 + 1 = -2*b - 3*i. Let w be (-18)\/4*b\/6. Calculate the greatest common factor of h and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f. Suppose -4*h + 5*l + 28 = 0, 3*h + 3*l - 8*l - 26 = f. What is the third smallest value in -4, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10423, -10435, -10447?\nAnswer: -10459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/77 and -9\/132105148.\nAnswer: 1453156628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1793708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34931719, 34931717, 34931715?\n\"Answer: -2*k + 34931721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428783256?\nAnswer: 2, 23, 41, 321949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7814 = -2*r - 6472. Let v = r - -17012. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*k - 3, 5 = -4*k + 3*o - 6*o. Let u be (k*-1)\/(4\/(-8)). Which is the second biggest value? (a) u (b) -0.2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 20391.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -32056, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Let j be t(3). Let y = j - -30. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2946, 2945, 2944?\n\"Answer: -b + 2947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 4*n**2 + 3*n - 3. Let o(w) = w**2 + w - 1. Let g be (-78)\/24 + 1\/4. Let b(y) = g*o(y) + r(y). Factor b(q).\nAnswer: -q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 0.23. Let y = -808 + 4847\/6. Let j = -0.17 - -0.07. What is the closest to j in r, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/4 (b) -23.9 (c) -38 (d) 22.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 18 = 4*i, 4*k = 4*i - 7 - 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 27 = -12*d. Let v(s) = 89*s**2 + 5*s - 13. Is v(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 23.4.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4288)\/(-737) + -1 + (-13)\/(-11). Solve 10 = -b*s + 3*s + 2*x, -4*s - 11 = -5*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011000010110111001001 + 0?\nAnswer: 111011000010110111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2972, 11957, 26930, 47891, 74840?\n\"Answer: 2994*p**2 + 3*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.758596 rounded to one dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 3.79731?\nAnswer: -1.898655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 47 - 119 = 0. Calculate the remainder when 69 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = 0, -19*r = -15*r + 4*j - 32. Solve 0 = -4*m + 2*m - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8 - -4) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(7920) - (sqrt(7920) - 5*sqrt(7920))) + sqrt(7920) - sqrt(55))\/(sqrt(11) + ((sqrt(88) - 3*sqrt(88))\/sqrt(8) - sqrt(11))).\nAnswer: -71*sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k + 110. Let j(p) = 4*p + 133. Let l(u) = 5*j(u) - 6*t(u). Let q(g) = 5*g. Give q(l(b)).\nAnswer: -20*b + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 25 - 18742*x**2 + 13*x + 37452*x**2 - 18713*x**2.\nAnswer: -3*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 887198203 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -32?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 679328.2l?\nAnswer: 679328200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 21.9. What is the nearest to w in -3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8183697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96114\/(-41832) - (-9)\/4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16*(-200)\/(4 + 16)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45432655*b**2*o**4 - 6*b**2*o + 8*b**2 - 704*b*o + 4*o**4 + 24*o - 2 wrt o?\nAnswer: 545191860*b**2*o**2 + 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 0 + 0)*(-2 + 6 - 2) + 5*l**3 - 5*l**3 + 6*l**4.\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 38. Suppose -f*h + 3*h = -24. Solve o = h*o + g + 5, -3*g = 5*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 32318.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3) + 5 + (-4900)\/25. Which is greater: -195 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 6. Let y = -10 + 19. Suppose y = f - 5. Calculate the least common multiple of 6 and t(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 926*b - 924*b. Suppose a = -5*p + 2575, -5*a + 1562 = b*p - 498. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212263737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 2.\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*f = 1448, -t + 621*f + 364 = 622*f. Calculate the lowest common multiple of t and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5133 divided by 430?\nAnswer: -5133\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -487244 divided by 2971\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 278914787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 13*t**2 - 14*t - 2. Let r be a(-14). Let w(z) = 10*z - 11. Let c(k) = -2*k + 2. Determine r*w(h) - 11*c(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417892301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -43 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2066806, 2066804, 2066802, 2066800, 2066798?\n\"Answer: -2*n + 2066808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Let c(z) = z + 10. Let s be c(-3). Suppose 6*f + s - 1 = 0. What is the third smallest value in f, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j - 11. Calculate u(-19).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c03 (base 13) to base 12.\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**4 + 2*f**3 + 3*f**2. Let x(h) = 8*h**4 + 73*h**3 - 9*h**2 - 16*h - 18. Let j(n) = 3*m(n) + x(n). What is the second derivative of j(k) wrt k?\nAnswer: 24*k**2 + 474*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 8*s + 145. Suppose -4*d + 88 + 474 = 5*z, -124 = -z + 5*d. What is the remainder when z is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937.654 plus -59660.59?\nAnswer: -58722.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u - 6. Let x = u + 10. Suppose 3*d + x = 5*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*o**2*s - h*p*s**2 + 4*h*p*s + 3*h*s**2 - o**2*p*s - 4*o**2*p + 2*o**2*s**2 + 2*o**2*s + 6*o*p*s**2 wrt s?\nAnswer: -2*h*p + 6*h + 4*o**2 + 12*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21985428\/5 at most 4397087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from {k: 4, l: 2, w: 8}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 5 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, -4, -2\/9, 0.4, -5, -37 in decreasing order.\nAnswer: 0.4, -2\/9, -4, -5, -37, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -841*r**4 - 4292*r**3 - 7332*r**2 - 4736*r - 1024.\nAnswer: -(r + 2)**2*(29*r + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 304*d + 744 = -2*z - 49*d, -2*z - 3*d = 2*d + 27 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/3 - 8359*b + 10525550\/3 = 0. Calculate b.\nAnswer: 427, 24650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(625))\/(sqrt(5) - (sqrt(245) + sqrt(245)*2 - sqrt(245)))*-5.\nAnswer: -50*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, r: 2, o: 8, l: 2}. What is prob of picking 1 r and 2 n?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:13 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 5*u - 55. Solve 5*x - 20 - u = -3*q, -3*x = 3*q - 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79.9675 - 80. What is q rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 4. Let v(g) = g**2 + 13*g + 45. Let m be v(-7). Solve 0 = m*u + u + t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4593603 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -3\/4, -0.5, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155234162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 70 = 4*c. Suppose 3*b - c = 0, 4*b = g - 0*b + 2. Suppose 0 = w + w - g. Calculate the greatest common factor of w and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2305*c**4 + 199*c**3 + 668*c + 310.\nAnswer: -27660*c**2 + 1194*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 + 18*r - 45. Give h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/17 + 552234*b\/17 + 1656720\/17 = 0.\nAnswer: -3, 276120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**4 - 85*p**2 - 33*p - 1 wrt p.\nAnswer: 36*p**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 5\/2 (b) -3 (c) 0.4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-h + 3 - 3 - 3*h + 2*h - h + (-2 - 4 + 4)*(h - 2*h + 3*h) + h - 3*h + 0*h + h + 3*h - 7*h - 2*h + 0*h + 4*h - 35*h - 20*h - 49*h).\nAnswer: 228*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*t + 15 = -39, -2*h + t = -21. Let w be (-2)\/1 - (-70)\/(-7). Let i = w + 24. What is the smallest common multiple of i and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 212 + 3*v**2 - 116 + v - 97 + 3*v**3 to g + y*v + m*v**2 + f*v**4 + n*v**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/83930 and -45\/6429038.\nAnswer: 32145190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3, 0, 2, -2\/5, 0.1, 2\/649?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21.41*257\nAnswer: 5502.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4833 is divided by 402.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 - -1) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/(5\/(-3)). Let f(x) = -x**2 - 18*x - 28. Let u be f(-16). Which is the second biggest value? (a) u (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1\/10*n**5 + n**3 + 0 - 1\/120*n**6 + 0*n - 4*n**2 + 1\/3*n**4. What are the prime factors of c(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 5131878?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 1232?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*o = 32, 0 = -4*r - 3*o + 8*o - 4. Is (9\/15 + -2)*(1 + r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfkkpvvpkzvpffkkppvv. What is prob of picking 1 p, 1 v, 1 z, and 1 k?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*n - 11, 5*n = -3*v - 5 + 1. Let t = 5 - v. Solve 5*m + 3*r - 4*r = 27, -t = 4*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96417920*w + 93099947 wrt w?\nAnswer: -96417920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5212042 centuries?\nAnswer: 5.212042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21849*i**2 - 3012*i**2 + 1 + 1814*i**2 - 1 as g*i + b + x*i**2 and give x.\nAnswer: 20651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 27\/(-21) - -2. What is the closest to g in 4, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45*(798\/19)\/((-8)\/2)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*r = 85*r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose 0 = -z - 2*m + 18, -1 + 22 = z + 5*m. Suppose 2*l - z = -i. Calculate the remainder when 16 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -1 - (-2 - -15 - 7) - 33.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 3. Let c be b(-3). Let m be 2\/4*(c - -7). Solve -4*n + 4 = -4*q, 4*n - m*q + 7*q = 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144\/1287*2\/(-4)*477\/106?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.08, 14 in decreasing order.\nAnswer: 14, 0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 11*p**2 + 21*p - 58. Does 27 divide m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 22. Let p(z) = -z + 4. Let k(s) = 11*p(s) + 2*u(s). Let o(y) = 27*y**2 - 9. Let d(m) = 7*m**2 - 2. Let i(j) = 9*d(j) - 2*o(j). Give i(k(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 360609 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 22*p - 17*p + 52 = 0, 0 = 5*q - 2*p - 48. What is the tens digit of q\/(4130\/515 + -4 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -1.1?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3, 0 = -w + 2*x + 2*x - 589. Let b = -569 - w. Solve -9*r + b = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 3*v + 3. Let n be h(-1). Suppose 2*y = 4*o + 14, -n*y + 4*o + 18 = -o. Is (-1)\/5 - y - (-35106)\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 124866909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from kwkkkkkwwkkkkkkkwk.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 411554 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: Put together -835 and 0.2.\nAnswer: -834.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skkksskkskkskkss. Give prob of sequence sssk.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8118 - 2.65. Let k = 0.0431 - w. Let j = -0.127 - k. Round j to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*c**2*h*u**3 - 4*c**2*h*u**2 - 101*c**2*h - 112*c*h*u + 7*c*h - 392520*h*u**3 wrt u?\nAnswer: -66*c**2*h - 2355120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (978\/7)\/((-1)\/(-57 + 1)).\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*d = -5*j + 135, 0 = 5*d. What is the highest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/83018091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 39 = 4*u, -2 = -u + 3*u. Suppose m + 45 = q*f - 2*f, 5*m - 7 = -4*f. Solve -k + f = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*x - 0*b + 29, 0 = -3*b - 3. Suppose d = -4*d - 2*k + 18, k = -x*d + 14. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnwwnlwwwwnwnnlln. What is prob of sequence wwnn?\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56425, -112678, -168931, -225184?\nAnswer: -281437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 27359850*b + 187140348005625 = 0 for b.\nAnswer: 13679925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55286 and 4273536?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 48 = 11*d. Suppose -d - 218 = -5*v. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -4*b, 0 = 5*b + s - 2*s - 34. Let f = 44 + b. Suppose 6*j - f = 4*j. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12284 and 112.\nAnswer: 343952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.082\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -29. Calculate the least common multiple of b and (-5)\/((-30)\/4)*18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let q be j(4). Let p(b) = 2*b**3 - 7*b**2 + 6*b - 5. Let x be p(q). Let o be (-14)\/x*1*-5. Solve -a + o*a = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8546554 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 3 (c) -822785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/27*(1\/(-2))\/(54\/(-189))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -364.03839 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -1736, -2816, -4038?\nAnswer: -5402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 111, 186, 273, 372?\n\"Answer: 6*w**2 + 45*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/9 - 1836094*l**4\/9 + 408020*l**3.\nAnswer: 2*l**3*(l - 918045)*(l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(-7*t**2 + 7*t**2 - 6*t**3).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**3 + 5*s**3 - 5*s**3 + (1 - 1 + 2)*(2*s**2 - 2*s**2 + 2*s**3).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*p)*(-131 + 234 - 135)*(-7*p - 4 + 4) as r*p**2 + i + c*p and give r.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -393*m**2 - 1480*m**2 - 1481*m**2. Let v(c) = 2*c**2. Give v(y(o)).\nAnswer: 22498632*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 40. Calculate p(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 728760 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = m - 22*m. Suppose 0*r = -r - 2, -m*y + 5*r = -862. What are the prime factors of y?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 4*a - 28 = 0, -s + 30 = 2*a. Let q be 2 + 1 + 0 + -23. Let v = s + q. Solve -v*l = -l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10077110 (base 8) to base 15.\nAnswer: 2c0e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 171, 137, 103, 69, 35?\n\"Answer: -34*m + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 3. Is ((-240)\/(-18))\/(2\/q) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2119688 or 2119583?\nAnswer: 2119583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1077 (base 12) to base 11\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 25 = -5*y - 44, 8 = 8*p - 4*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305363073?\nAnswer: 3, 101787691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1995 + 6547. Let n = d - 4540.794. Let c = n + -11.3. What is c rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 0 - 16\/4. Suppose 0 = -a*s - 4*s + 36. What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 + 588*u**4 + 2852*u**3 + 1684*u**2 - 2856*u - 2272 = 0. What is u?\nAnswer: -142, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 13*w**2 - 22*w + 21. Let l be y(8). Suppose 0 = -2*n - 3*t - l, n + 74 = 5*t + 24. Which is greater: -77 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 164\nAnswer: -10\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 184 = -68. What is the remainder when 1331 is divided by (-69 + 2 + -2)\/((-189)\/r)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0927, 1390, 5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 35, -3.\nAnswer: -3, -4\/5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1080*a - 3793 = 6427 + 7249 - 5589 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 + 4*y**2)*(-4 + 2 + 1)*(-3*y**2 + 6*y**2 - y**2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1368 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1054864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**0)\/m*m)**(-5\/3)*m*m**(-1)*m*m*(m**5*m*m)\/m)**37 assuming m is positive.\nAnswer: m**(518\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6240 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71304531?\nAnswer: 3, 23, 79, 103, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from neeeeeeneeeeeeennn?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -48*b - 68. Let n(i) = -16*i - 23. Give -7*n(g) + 2*v(g).\nAnswer: 16*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from lporbpotpbpooplo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 - v + 13. Let x be d(5). Suppose x*i = 30*i + 39. What is the greatest common divisor of 377 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**3 - 4*x**2 + 6*x + 4. Let q(z) = -29*z - z**2 + 29*z + 1. Let c(f) = l(f) - 4*q(f). Find the second derivative of c(w) wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567798.\nAnswer: 2, 47, 59, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 57, 163, 321, 537, 817, 1167, 1593?\nAnswer: 2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzaaa. Give prob of picking 1 z and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -173, -388, -691?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/((r\/r**7)\/r))\/(r\/r**(1\/4)*r)**3)\/(r**(-1\/8)\/r**(-2\/23))**(-4\/9) assuming r is positive.\nAnswer: r**(2263\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(306) + sqrt(306) + sqrt(306) + sqrt(306))\/(3*sqrt(2)*2 - ((sqrt(72) - sqrt(72)*2) + sqrt(2))).\nAnswer: -15*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.19+-107\nAnswer: -106.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-20) + 13\/15. Let l = -1.9107 - 3.3893. What is the second biggest value in 0.1, l, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5\/9 + 83*z**4\/9 - 226*z**3\/9 - 824*z**2\/9 + 288*z + 128 = 0. What is z?\nAnswer: -3, -2\/5, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*1*-1 - sqrt(60))\/(sqrt(1200)*1) + -1 + (sqrt(605)*-1*-2)**2.\nAnswer: -sqrt(5)\/5 + 2419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 1147486*f + 67694712 = 0. What is f?\nAnswer: 59, 573684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 + 3 = 0. Suppose -2*n = d - u, 2*d - 24 = -n + 5*n. Let w = d - 4. Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 10. Let q = z - -7. Which is bigger: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004240518 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 2*p**3 - p**3)*(-33 + 57 - 33).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*i + 19, -3*y - 6*i + 29 = -2*i. Let g(o) be the first derivative of -2\/3*o**3 + 3*o + 0*o**2 + y. Find the first derivative of g(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 4\/8)*-2. Let n(w) = -3*w + 9. Let a(g) = -1. What is i*n(b) - 9*a(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.64 rounded to 0 decimal places?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjrxdh. What is prob of sequence jd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let s(g) be the second derivative of -13*g**5\/30 - 19*g**2\/2 - 40*g. Let o(i) be the first derivative of s(i). Calculate o(w(d)).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 17. Let h be p(4). Let j = 2 - 3. Let o = 1 + j. Sort h, -4, o in increasing order.\nAnswer: -4, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1246 and 1453459?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5471, -21866, -49191, -87446, -136631, -196746?\nAnswer: -267791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5020*t + 1094353. Determine c(-218).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1351*h - 24309. Calculate u(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 108, 0.03, 2, 1\/4, 13275?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 21*s - 53. Suppose -3*r - 242 = -5*g + 4*g, r + 2*g = -90. Let p = 89 + r. What is the tens digit of y(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**3 + 3*f**2 - 33*f - 2. Let a(u) = -9*u**3 + 4*u**2 - 30*u - 2. Determine -5*a(s) + 6*h(s).\nAnswer: 3*s**3 - 2*s**2 - 48*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x*x**(2\/15)*x)**5 assuming x is positive.\nAnswer: x**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4744*g - 9*g**2 - 4744*g + 8 to n + b*g**2 + s*g and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q + 1. Determine z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-13 + 33 - 25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 16 = -2*r - 4*w, -3*w = -15. What is the closest to r in -0.3, 5, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 34*l**2 + 35*l - 35. What is f(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 16) to base 8.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1168 divided by 8.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p + 8*p**2)*(0*p**3 + 5*p**3 - 3*p**3) + (4*p - p - 4*p)*(-7 + 5 + 11)*(9*p**4 - 65*p**4 + 13*p**4).\nAnswer: 403*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -22, -2, 1.\nAnswer: -22, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7658 and 3829?\nAnswer: 7658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 5:54 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99940 and 72830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6906?\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:57 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9)*(3 + 0). Let j be (-13)\/6 + 4\/h. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 - 174. Let v be 31250*3*720\/m. What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 39*(24 - (6 - 9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12302512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + a)*(a + 2*a + 0*a)*(-1 - 5 + 4)*(3 + 0 - 4).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7815473 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*u - 5403450000 = 35*u. What is u rounded to the nearest one million?\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1916 + -0.23523. Round s to 3 decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*g - 245*g + 89*g + 5*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 404 - 404 + 6111*k**2 + 3351*k - 6112*k**2 in the form p*k**2 + b + a*k and give a.\nAnswer: 3351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 614 = 3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 367.089 + -0.089. Let z = -367 + y. Which is the biggest value? (a) z (b) -3 (c) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*g**3 + 17*g**3 - 11*g**3)*(-424 - 150 + 89) - 2*g**3 + g**3 + 3*g**3 in the form h + c*g**3 + x*g**2 + t*g and give c.\nAnswer: 3882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -104 - 68. Let w = s - 90. Let f be -4*((-23)\/(-4) + w + -3). Solve p + 2 = -0*p, 4*p + f = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 - 3*d**2 + 1\/108*d**4 + 0*d + 0*d**3 + 1\/270*d**5. Factor l(o).\nAnswer: 2*o*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42838*x**4 + 12022?\nAnswer: 171352*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/605595 and -4\/135?\nAnswer: 5450355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 55, 16, -0.2, 12, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 115*d + 2491. Determine l(-133).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 + 2526*z**3 + 1607713*z**2 + 15797964*z - 17408204 = 0 for z.\nAnswer: -1258, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -374716?\nAnswer: 374711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9789170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -307*q. Let p(z) = 4*z**2. Give p(y(x)).\nAnswer: 376996*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/629706*-29*(32\/20)\/((-24)\/(-20))\nAnswer: 2\/329","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 7223a?\nAnswer: -7223a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 15 + (1 - 2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -1. Let p be (-15)\/x*(-32)\/(-12). Is 2 + p\/4*6 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -49.998. Let c = g + -20.998. Let k = c + 14. What is the fourth biggest value in k, -2\/15, 1\/5, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2924240\/154)\/((-6)\/(-42)). Round i to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*((((q*q*q**(-50))\/q*q*q)\/q*q)\/q)\/q))\/q*q*q*q**(-6\/13)\/q)\/(q**2*q*(q**41*q*q*q)\/q) assuming q is positive.\nAnswer: q**(46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + 747616 - k - 747616 + 132*k**2 - 13*k.\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/(m*m\/((m\/(m**2\/m))\/m)))\/m)\/m)**(-14\/11)\/(m**(-6)\/(m*m**(-3\/5))) assuming m is positive.\nAnswer: m**(562\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -79*c**2\/2 + 934. Let o(j) = -13*j. Give o(n(f)).\nAnswer: 1027*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259 - 818. Let k = -365 - y. Let t = k - 176.7. What is t rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 7 = 10*c - r, -2*c = -4*r - 16. Let w(h) = -3*h**3 + 5*h**2 + 10*h - 10. Let k(z) = z**3 + z**2 + 1. Let o(g) = c*k(g) + w(g). Calculate o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22 + 1)*(-8 + 9). Let y(v) = -2 + 2*v - 5 - 6*v**2 - 9*v. Let s = 19195 + -19198. Let m(d) = d**2 + d + 1. What is s*y(n) + x*m(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -0.5 (c) -4 (d) -27 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -107, -130, -153, -176?\n\"Answer: -23*y - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 0*r + 9*r - 8*r + 7*r to the form l + i*r and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, v: 4, n: 2}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -45809.\nAnswer: 18323.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -20. Suppose 0 = d*f - p - 204, p = -5*f + 107 + 139. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540704?\nAnswer: 2, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + q)*(4*q + 3*q - 4*q) + (-2 + q + 2)*(-4*q - 2*q + 4*q) + 26*q**2 - 4*q**2 - 53*q**2 + (-3 + 2 + 0)*(3*q**2 + q**2 - 3*q**2).\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 17 - (-2)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Let m(f) = 71*f**2 - 11*f - 83. Let a(g) = -14*g**2 + 2*g + 15. Let w(v) = 11*a(v) + 2*m(v). Give w(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2220 (base 4) to base 14\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -585028358*a*l**3 - 78*l**3 + 7*l**2 - 29995 wrt a?\nAnswer: -585028358*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a13 (base 12) to base 16.\nAnswer: 5af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*v + 20 + 10 = 3*v, -w + 12*v + 11 = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/(-9) - 3) + 4\/3. Suppose -846 = -h*o - 266. List the prime factors of o.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*i**5 - 30*i**3 + 217*i**2 - 3 wrt i.\nAnswer: 5400*i**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 4*n**4 + 2*n**4)*(-3 + 4 - 3) - 79*n**2 + 9*n**4 + 79*n**2.\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -2)*6 - ((5 + sqrt(5) + -1)**2 - ((sqrt(50)\/sqrt(2))\/sqrt(5))**2).\nAnswer: -28 + 58*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -4134662\nAnswer: -2067331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043.42401 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 20 = -44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -26. Suppose -4*z = -b + 24, 7*b - 2*b - 156 = s*z. What is the least common multiple of 6 and b?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1270, 5161, 11690, 20857, 32662?\nAnswer: 47105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84410000 rounded to the nearest one million?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 21 + 27 + -2 + (2 - -3) + 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2384 and 12.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + 54\/(-9) + 1*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c = 53*c - 24. Let k(z) = z**3 - 7*z**2 + 8*z - 9. Let o be k(c). Suppose o*s = -5*s + 3*s. What is the second smallest value in -1\/3, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 39*g**2 - 3*g. Suppose -21 = -5*y - 26*f + 25*f, 11 = 3*y - f. Calculate the smallest common multiple of y and a(2).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -17. Let s(c) be the third derivative of c**6\/360 - c**5\/120 + 7*c**4\/4 + 2*c**2 - 71. Let p(y) be the second derivative of s(y). Determine p(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1138877 times 10\nAnswer: -11388770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose b*z + 5*k - 4 = 0, -4*k + 56 = -3*z - 2*z. Find the common denominator of ((-166)\/(-9))\/(z\/6) and -101\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -24, -42, -78, -138, -228?\n\"Answer: -w**3 + w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1 = 2*a, 3*z - z + 2 = 2*a. Suppose -n - 3*f = 2*n + 18, -2*f + 12 = -a*n. Suppose 2*w = -3*w. Put n, 1, w in increasing order.\nAnswer: n, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 15. Let i = -22 - -24. Suppose 2 = -i*d + 14. What is the smallest common multiple of o and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1535503 - 11?\nAnswer: 1535462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 13) in base 7?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/4 - (-6)\/8. Let n(c) = -c**3 - c**2 + 1. Let i be n(-2). Let b = i - q. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*n - 7 + 72*n + 3 + 4 + 29*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16\/5, -0.4 in decreasing order.\nAnswer: -0.4, -16\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sreaeeaoaosesho. Give prob of picking 1 h, 2 s, and 1 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026191.\nAnswer: 3, 31, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2781 - 2788. Is s less than 6.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(187)\/(sqrt(22)\/sqrt(2)))*2)**2.\nAnswer: 24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, u: 1, q: 1, i: 1, o: 1}. Give prob of picking 1 i and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1303?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 + 112 = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1032 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 17133104?\nAnswer: 17133100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2. Let l(d) be the first derivative of -2*d**4\/3 + 47*d + 82. Let w(h) be the first derivative of l(h). What is w(c(f))?\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4)*2*2. Let m be (10 - b)*5\/((-20)\/(-4)). Let z be (3\/(-6))\/(6\/24). Sort 3, m, -4, z in decreasing order.\nAnswer: m, 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 377 = -f + 10*v, 5*f = v + 1865. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7915006?\nAnswer: 2, 11, 97, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let j(o) = -19*o - 5. Let v = 20 + -15. Let i(t) = 9*t + 3. Let d(w) = v*i(w) + 3*j(w). Calculate d(c(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 - 4214622*q - 193878960 = 0. What is q?\nAnswer: -46, 1404920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 365, -2, 122, 4 in descending order.\nAnswer: 365, 122, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153.73 - -31.29. Let j = 123 + t. Let p = j + -0.502. What is p rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -24, 0, -54, 5 in descending order.\nAnswer: 5, 4, 0, -24, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3537.9 rounded to the nearest 10?\nAnswer: -3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 23. Let q(m) = m + 10. Let s be q(-8). Calculate the greatest common divisor of h and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.935 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 - 7*a**3\/3 + 3*a - 3. Let b be p(-7). Suppose 0 = w - b - 14. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790675 minus 0.5?\nAnswer: 790674.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-55) + 2125\/11. Let r = -191 + o. Solve 12 - 2 = -r*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56744 by 13923.\nAnswer: 56744\/13923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let t be 1\/((-4)\/16*i). Which is the third biggest value? (a) t (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 12*l**2 - 10*l**2 + 10*l**2 + 6*l**2 to the form n*l + f*l**2 + b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 449*o - 443*o - 2850. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 9*q + 0*q to the form f*q + u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 1\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8817*g - 8819*g - 4*w - 6 = 0, 5 = -3*g - 4*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 91 + 30*g)*(-2*g + 4*g + 0*g + (0*g + 3*g - g)*(1 - 6 + 4) + 5*g + 2 - 2).\nAnswer: 150*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/6*(-45)\/(-30). Solve -r*u = -20 + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 8:39 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:29 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-1384))\/3)\/((-46)\/(35328\/288)).\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-1 - 1 + 3)*(4*l**3 + l**2 - l**2) - 10 + 4*l**3 - 10*l**3 + 7*l**3 - l**2 + 28 - 28 - 4*l**3.\nAnswer: l**3 - l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*r + 5, 5*r - 806*u - 13 = -809*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/46578 and 53\/61491832.\nAnswer: 1291328472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8784014, -17568031, -26352048?\nAnswer: -35136065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 5\/24*z**3 + 14*z**2 - 1\/240*z**5 + 1\/24*z**4 + 0*z + 0. Let v(t) = 0. Calculate t.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, -3, 0.67, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11031964477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 14 = p, 3*p - m = 39 + 19. Let f be 2\/11 - (-2840)\/110. Let h = f - p. Solve 4 = -3*i + h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22932, 22911, 22874, 22821, 22752, 22667?\nAnswer: 22566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-15)*(-2 + 2). Let n(p) = -p - 1. Let x be n(-2). Sort x, f, -1.\nAnswer: -1, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -140, 1968, 6378, 13090?\n\"Answer: 1151*l**2 - 1345*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*u - 129*u + 69*u - 97)*(9 + u**2 - 9)*(0*u + u + 1 - 4*u).\nAnswer: -3*u**4 + 292*u**3 - 97*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:05 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*3\/9 - 4. Let n(u) = 11*u**3 + u**2 - u + 1. Let t be n(x). Solve t = 4*a - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28675 less than -28647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -534, -2091, -4680, -8301, -12954?\nAnswer: -18639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2184.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 2*w + w)*((-1 - 2 + 6)*(w**3 + w**2 - w**2) - 5*w**3 - w**3 + 4*w**3) to the form r*w**3 + k*w + o*w**4 + d + u*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*j + 1840, -5*p = -7*j + 3*j - 3058. What is the highest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7 = 3*c, -1 = -t - 3175*c + 3172*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)\/sqrt(3)))\/((sqrt(33)*-2)\/sqrt(11)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 2. Let o be u(-8). Let s be 2\/(-3) + (-22)\/o. Suppose 3*p - 4*m - 1 = m, -s*m = -12. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51715 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/16 + (-12)\/(-16). Suppose 5*n + 4*o - o = 70, f = -5*n - o + 60. What is the remainder when n is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 536 and 544643?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayajavaavaav. Give prob of picking 1 y and 1 a.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and 2.2?\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1051025202 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 2*y - 4*y**2 + y**2 to the form j + m*y**2 + r*y and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11813 - -11820. Suppose 0 = 2*q - q - 5. Solve -7 = -4*x + 5, 4*x = q*a + g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/3)\/2 + 3319164\/324?\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911363015 to the power of 1\/2, to the nearest integer?\nAnswer: 30189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 5*t**2 + 6*t - 9. Let p be c(3). Suppose p = l + 15*l - 272. Calculate the remainder when 151 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013758 rounded to 5 decimal places?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*c + c + 7 = 0, 0 = 3*o + c - 5. Let a be -24*(5\/3)\/(-5). Does 2 divide o\/(-8) - (-42)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 8:32 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - 10) + (1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1255497649*q**3 + 1064666680*q**2?\nAnswer: 7532985894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8326534 (base 10) in base 2?\nAnswer: 11111110000110110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-54) - (-2)\/(-9). Which is the nearest to -2\/3? (a) p (b) -2\/5 (c) -6 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49350323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-9))\/(-8)*48\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 6 + 294*s**2 + 41*s**2 - 6.\nAnswer: 335*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 1 - (588 + -556)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w - 19*w - w - 13*w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 690636.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u + 53 = -103 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -1427 in ascending order.\nAnswer: -1427, -22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 2*g**2 + 3*g**2 + 2 - 3*g**2.\nAnswer: -6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82, -169, -262, -361, -466?\n\"Answer: -3*m**2 - 78*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13923970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z**2 + 5*z. Let w(l) be the third derivative of 0*l**3 + 7\/60*l**5 - 2*l**2 + 1\/8*l**4 + 0*l - 29. What is -3*o(g) + 5*w(g)?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:22 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/9 - 52*j**3\/9 + 655*j**2\/9 - 700*j\/3 = 0.\nAnswer: 0, 5, 12, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 525 = 6*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/6)\/((-95)\/285)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552773470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469515190?\nAnswer: 2, 5, 11, 13, 17, 60449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15625*v. Let u(m) = 57*m**2. Determine u(j(c)).\nAnswer: 13916015625*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let q(x) be the third derivative of -403*x**4\/24 - 74*x**2. Give o(q(n)).\nAnswer: 806*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 4*o - 5*o. Let i = -554 + 780. Let v = i - o. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/7*1 + (-173)\/(-7) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -960*q**3 - 14*q**2 - 291771*q?\nAnswer: -5760*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13207791 * 9\nAnswer: 118870119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 181*l**2 + 1714*l + 64. What is k(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let k(t) = -4868*t + 2. Calculate u(k(b)).\nAnswer: 4868*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*-1*sqrt(1584) + sqrt(1584) + 4 + -3)**2*-4*-3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -52 - (-129 - -56) - (-459)\/(-22)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) -23 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + 14 + -24 + 1*142. Solve 58 + 80 - 30 + h*g**2 + g**4 + 3*g**4 + 216*g + 586*g**3 - 546*g**3 = 0 for g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-24)*-3 - (-17 - 671\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.755 + 64704896.\nAnswer: 64704895.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 16 = -2*y, 0 = d + 19 - 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 25 + 45. Let h(l) = l**3 + 16*l**2 + 20*l - 33. Calculate the lowest common multiple of 6 and h(t).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*n - 50 = 0, 17 = 4*n - 3. What is the fourth biggest value in c, 0, 0.7, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 1238?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 556316*q**2 + 207966*q wrt q?\nAnswer: 1112632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 15. Calculate the remainder when (0 - 3)*-7 - g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20902 - -20967. What is the closest to 0.01 in -2\/7, m, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*(-48)\/40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*f + 2775*f**3 + 180*f.\nAnswer: 2775*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10449 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.23556 rounded to 0 dps?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 19*q - 10. Determine i(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*p = 48, -d - 9 = -5394110*p + 5394109*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/15953 and -5\/20511.\nAnswer: 143577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 6. Let p(i) = 2*i**2 + 2*i - 1. Let g be p(-3). Suppose -g = 2*c - 5. Let a be (0*c\/3)\/1. What is f(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534110000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 5, r: 3, q: 1, f: 1}. Give prob of picking 1 f, 2 z, and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21864 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: What is the second derivative of g**4 - g**4 + 4630 - 4629 - 93*g + 94*g**5 wrt g?\nAnswer: 1880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(540))\/sqrt(12))**2 + 1 - (((sqrt(15)*4)\/sqrt(3) - sqrt(5)) + sqrt(5) - sqrt(405)*-1).\nAnswer: -13*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 948322\nAnswer: -948322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*d - 352 = d, -9 = -3*d. Let y = -73 + b. Suppose 4*u - 133 = -1. What is the remainder when u is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(40\/32 + (-22)\/11). What is the third biggest value in s, -208, -2\/7, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-2*o + o + 4*o) + o + 0*o + o - 60*o + 7*o + 8*o + (-o + o + 2*o)*(-4 + 4 + 1) as n*o + k and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/90 + 23*t**4\/180 + 2*t**3\/5 + t**2 - 7*t. Determine g so that h(g) = 0.\nAnswer: -18\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 1958 - 32583 = 0. Let c be (-8)\/(-36) - v\/(-45). Let t = -73 - c. Calculate the highest common divisor of t and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 26 = -5*u, 215*t - 219*t = -2*u - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 613.\nAnswer: 0, 5, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 2*b. Let a be d(-2). Let h(n) = n**3 + 9*n**2 - 14*n - 18. Let r be h(-10). Let u(k) = -10 + k**2 + r - a. Let p(c) = -10*c. Give p(u(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-24) + -2 + 2. Let x(p) = p**3 + 3*p**2 - 2*p + 4. Let t be x(-3). Let s be 3\/12 - (-5)\/t. Put v, s, 3 in increasing order.\nAnswer: v, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -46*l - 92. Let j be b(-2). Suppose 0 = 2*o - 2*i + 2, -3*o + j*i - 4*i = -18. Solve o*c + 5*f + 5 = 0, -7*f - 4 = 3*c - 3*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -24, -4, -6.7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1 (c) -0.6 (d) 13\/25 (e) 2 (f) 5 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1313382 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 212337, 424678, 637019, 849360, 1061701?\n\"Answer: 212341*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 18. Sort c, -3, 1.\nAnswer: -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66533.63 rounded to the nearest 100?\nAnswer: 66500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 3*x - 2. Let g(c) = 31*c**3 + 3*c**2 + 3*c - 3. Let i be g(2). Let t = i - 262. Let y(a) = a**2 + a + 1. Give t*l(f) + 2*y(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151.2 - -152.2. Which is the nearest to -1? (a) f (b) -12 (c) 0 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 1 - 2*l**2 + l**3 + l)*(2 + l - 2).\nAnswer: l**4 - 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6647 = -4*m, 4*m + 0*r - 6641 = -5*r. Suppose -m = -12*t + 136. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5199 - 3?\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.219? (a) 1 (b) 8 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + (39 - 42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h - 136*h + 1099 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -0.172?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14)\/(268\/201)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-30)*9000\/400\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9238, -37007, -83310, -148147, -231518, -333423, -453862?\n\"Answer: -9267*t**2 + 32*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 - 4*u + 2. Let c be r(7). Let d = 43 - c. Let z be ((-4)\/(-10))\/((-4)\/d*-8). Put 0.1, -1\/2, z in descending order.\nAnswer: z, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48168)\/10035*(-20)\/16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100212022 - -1?\nAnswer: -1100212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86088617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 429239703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 - 13*i + 22. Let r be c(8). Let t = 406 - r. Calculate the smallest common multiple of t and 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*a + 10 - 26*a + a**2 + 8*a**3 + 50*a + 0*a**2 to the form d*a**2 + f*a + w + b*a**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + -96?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(208) + 2 + -2 - (1 + 2*sqrt(13) + 3).\nAnswer: -4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 1\/42*l**4 - 4\/21*l**3 - 1 - l + 4\/7*l**2. Let t(w) be the first derivative of r(w). Find a, given that t(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -246 + 38*f + 22*f - 286 - 24*f - 28*f in the form a + c*f and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/30)\/((-15)\/(-4325)). Let j = u - 325. Calculate the greatest common factor of 168 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*d + 24 - 63 + 9*d - 70 - 41 wrt d?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523.9511 rounded to the nearest ten?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -228457 and 0.3.\nAnswer: -68537.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -837, -760, -683, -606, -529, -452?\n\"Answer: 77*k - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/42 - 89\/210. What is the biggest value in 2, b, 1\/2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2. Let n = -43 + 47. Let u(r) be the second derivative of n*r + 1\/6*r**3 + 0*r**2 + 0. Calculate f(u(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*r - 386*r - 920 = 0. Suppose 0 = 5*j - 2*o - 150, 5*j - 2*j - 111 = -3*o. Let m = r - j. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**6\/40 + 5*m**2 + 12. Let y(o) be the second derivative of p(o). Factor y(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784857 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27178 - 3610 = 982*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22622573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 1. Let g be (-11 - 0)*(-1)\/b. Let h = g + -16. Put -3, h, 5 in decreasing order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (14 - 34) - (0 + -9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 (base 14) in base 7?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 10. Let f be (1\/2)\/(1\/4). Let d be 2 + (18 - f - 2). Solve -u*v = -d - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 2. Let x(c) = -12*c - 8. Let g(j) = j + 1. Let t be g(-3). Let z be t + 1 - (0 - -8). Give z*w(q) - 2*x(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67.93 - -0.07. Let t = z - 68.0000197. What is t rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = f - 4, -45*f + 46*f - 4 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 2. Suppose -4*x = 2*t - 12, 0*t = 5*x - 4*t - 28. Suppose -17 = -x*s + 331. Let d(w) = 11*w**2 + 164 - 86 - s. Determine 2*d(m) + 9*k(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90889529 and -27165.62.\nAnswer: 90862363.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) - (-153)\/36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 18656.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 4*q - 2*q)*(351 - 298 + 144) in the form g + t*q and give t.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -2 + (-2 - -3). Let d(y) = -2*y. What is the units digit of d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*k - 746*k = 38588 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + (2 + 1 - 2)*(2 + 3 - 3))*(-9*y - 26*y + 9*y)*(-44*y**2 - 13 + 13).\nAnswer: 3432*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (-1 - (-1 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -54 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*p - w, p + w = -3*w + 27. Suppose -p = 7*s - 120. Let y(z) = 2*z - 8. What is the remainder when s is divided by y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 3*w**2 + 2*w - 5. Let s = -9 - -12. Let d be h(s). Let l be 2\/4 - 10\/(-4). Calculate the highest common divisor of l and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 152*r - 37. Let f(t) = 2*t**3 - 11*t**2 - 4*t + 4. Let c be f(6). Is a(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1207, -4870, -10921, -19318, -30019?\n\"Answer: 7*f**3 - 1236*f**2 - 4*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1225 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s + 5*h, 30*h - 33*h - 12 = 0. What is the fifth biggest value in 0.3, s, 5, 3, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 361.4068 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 3. Suppose 3*q - 166 + 175 = 0. Calculate h(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475799 to the power of 1\/2, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**6 - 4*h**3. Let u(p) = -18*p**6 - 11*p**3 - p**2. Let k(r) = -11*q(r) + 4*u(r). What is the third derivative of k(t) wrt t?\nAnswer: -720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/267454190 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 810038649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/48)\/(2\/12)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*c + 10, 3*c = -3*m + 21. Let o be (-8 + 7)*(-1 - 1). Solve 4*f + 6*s = o*s - m, 4*f - 5 = 5*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4 + 5*d - 2*d - 2*d. Let b = -4192 - -4182. Give t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144*x*y**2 + 2*x*y - 721530*x - 2*y**2 - 31*y wrt y.\nAnswer: -288*x*y + 2*x - 4*y - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155836 = -22*a + 397178. Is a a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20199647723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by -5\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3133 = 601*u - 9488 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-390)\/(-39))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t = 19774 + 4457. Is 29 a factor of (t\/4)\/(46\/(-184))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1009412 and 75\/188.\nAnswer: 47442364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 take away -0.102?\nAnswer: -4.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j + 283. Let o = -192 - j. What are the prime factors of o?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + 2*b)*(1 - 2*b - 1) + 149 - 227 - 929*b**2 + 75.\nAnswer: -927*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.14 + -0.14. Let j = -175.1 - -163. Let d = j + w. What is the third smallest value in d, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61101473?\nAnswer: 19, 113, 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -132000 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -6. Let z = 30 - 31. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 3:10 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2 - 3360*c - 5953922 = 0.\nAnswer: -1079, 2759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -120*w. Let i(d) = 4*d**2. Give i(s(n)).\nAnswer: 57600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*z**3 - 27*z**3 + 54*z**3)*(-4*z**2 + 2*z**2 + 5*z**2) + (-3*z**3 + 4*z**3 - 4*z**3)*(z**2 - 3*z**2 + 6*z**2).\nAnswer: -18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 + -95. Let h = p - -102\/7. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-184)\/10*(107\/(-22) - -5). Let j = -32\/11 - k. What is the fourth smallest value in -1.06, 2\/17, 0, j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/7))\/(m*m\/(m\/(m**(3\/8)\/m*m))))**(2\/169))**(-28) assuming m is positive.\nAnswer: m**(37\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 19\/7, -0.2, -19, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 170*o**2. Let l(h) = 8*h**2. Give l(g(j)).\nAnswer: 231200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -11326197 at most -11326197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:04 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**7\/735 + k**6\/70 + 13*k**5\/210 + k**4\/7 + 4*k**3\/21 - 28*k**2. Factor a(s).\nAnswer: 2*(s + 1)**2*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 2*c - 1. Let g(b) = -b**2 + 9*b - 9. Let d be g(8). Determine n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 + 288bc5?\nAnswer: 288b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 107367645 = -5*g - 3*p, -5*p - 21473508 = g. Let z = -13173533 - g. Round z to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 9*r + 1 + 6*r + 0*r**4 to v + h*r + i*r**3 + t*r**2 + l*r**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, 2*w - 47 = -2*p - 11. Suppose -2*y = r - 8, -y - y + 4*r + w = 0. Solve y*n + 1 = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6361*c + 39257. Calculate v(6).\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24924 - -124099\/5. Which is smaller: t or -104?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2648042.\nAnswer: 2, 113, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457010274 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 24*q - 312 + 159.\nAnswer: -24*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56, -99, -130, -143, -132, -91, -14?\n\"Answer: n**3 - 50*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6121, 2\/43, -2, 6\/73?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Suppose 2*q = 2*b - 4, -2 = 2*q + 3*q - b. Let x be g(q). Suppose -3*n + 5*z = -0*z - 23, x = -z - 1. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/12)\/(1\/(-9)). Let z = -28 - -40. What are the prime factors of z - (1 + j + -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149\/((-44551)\/(-230))*(130\/(-6))\/(-5)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(4400) + -2))**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 2*x = -40. Let w be (-6 - -5) + -2 + 22. Let v = w - 15. Solve 15 = -5*j + x*n, 5 = j - v*j + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z - 4*z + 5*z)*(-2*z**2 + z**2 + 2*z**2)*(-2 - 1 + 4) in the form h*z + o*z**3 + a*z**2 + p and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 - t**2 + 2*t - 1. Let n = 4 + -7. Let w(i) = -1. Let s be (5\/(-20))\/(1 + (-3)\/4). Calculate n*w(f) + s*z(f).\nAnswer: -f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12*v - 4. Let w(u) = -49*u + 17. Calculate -9*s(z) - 2*w(z).\nAnswer: -10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 90 = 3*c. List the prime factors of -1 + (1 - 3) + c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(((-54)\/(-10))\/(-9))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 3*y**2)*(y - 4*y + 4*y)*(-6 - 60 - 145).\nAnswer: -633*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 6628386?\nAnswer: 6628400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -56876749?\nAnswer: 5\/56876749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556458687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/128053 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10783\/13 - 409713\/494. Find the common denominator of 31\/4 and b.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79702623 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*j + 1 + 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (285\/495)\/(1\/1149). Let h = -661 + x. What is the common denominator of h and 0\/1 + 11\/(-8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 divided by 116?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59633 and 35?\nAnswer: 298165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3256 and 32?\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89453 + -89453.142118. Let q = v - -0.142. Round q to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -52 + 402 + -365.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*6\/(-42) - (-1 - 1). Factor 2\/7*y**a + 24\/7*y + 12\/7*y**2 + 16\/7.\nAnswer: 2*(y + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:43 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466 - 1774 = 648*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**4\/10 + 242*f**3\/45 - 68*f**2\/3 + 344*f\/15 + 813. Determine o so that w(o) = 0.\nAnswer: -43, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 3*l. Factor l*u + 0*u**2 - 4*u**2 + 3*u**2.\nAnswer: -u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (-21 + 5)) + (-2 - 1) + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96277.\nAnswer: 43, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 445881, 29, -2, -1 in increasing order.\nAnswer: -2, -1, 29, 445881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 29*v**2 - 210*v + 2. Let x be a(35). Let 3*b - 3 + 9\/4*b**x = 0. Calculate b.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)\/o*o*(o\/(o**(2\/27)*o))\/o)**(-2\/7) assuming o is positive.\nAnswer: o**(205\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (66\/9)\/(6\/792). Let v be r\/(-48) + 1\/6. Let y = 25 + v. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:49 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*r**6 + 3*r**2 - 24?\nAnswer: 16560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8448 and 36.\nAnswer: -304128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 3. Let l be k(-3). Let d be 4888\/l - (-6)\/(-9). Let s = d - 4086\/5. Find the common denominator of s and 10\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/20*(3\/(-7))\/((-24)\/420)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (1*sqrt(171) + sqrt(171))*-1 + 1*sqrt(171)*-1 + sqrt(171) + sqrt(171) + sqrt(171))\/(sqrt(108)\/(1*sqrt(12)*-6)) + -4.\nAnswer: -6*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573 divided by 11?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 25*r - 5. Let m(b) = -b**3 - 21*b**2 - 6*b + 282. Let w be m(-20). Give g(w).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 48735 (base 9) in base 2?\nAnswer: 111111110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25629*b**3 - 3*b**2 + 114*b - 20?\nAnswer: -153774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 7*w + 2. Let r(x) = -95*x**3 - 9*x**2 + 26*x**w - 9*x + 19 + 93*x**3. Calculate the smallest common multiple of 10 and r(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -521\/90 + -2\/45. Calculate the common denominator of q and 290\/(-240) - 2\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181\/33 - -17\/3. Let w = -3.01 - -3. Let d = -0.51 - w. Which is the smallest value? (a) v (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1, 4\/3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 2, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2*6\/18. Solve -3*j + 18 = -4*x + 49, v = -2*j - 3*x + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160067010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.462 * -285934\nAnswer: 418035.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66483 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10736262 is divided by 2552.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 906.\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94304 divided by 16?\nAnswer: 5894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 5) + (-27 - 14 - -70).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywytyytbyhhwylwwy. What is prob of picking 2 y?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 4, v: 4, h: 1}. Give prob of picking 1 h and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 14 - (-8 - (-5 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211.04 + 201. Let a = w + 6.51. Let v = -3 - a. What is v rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6 = 9. Let c(t) be the first derivative of -5*t**2 + 3*t + 1. Is c(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)\/(l*l**(-2\/5)))**(-14)*(l*(l\/(l*l*l**(-2)*l*l))\/l*(l\/(l\/((l*l**1*l*l*l)\/l))*l)\/l)\/(l**0\/(l\/l**(-8)*l)) assuming l is positive.\nAnswer: l**(301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-14)\/((-28)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150600 and 6902500.\nAnswer: 41415000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38080*q**4 - 37689 with respect to q.\nAnswer: 152320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122552.11852 rounded to 0 decimal places?\nAnswer: -122552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(sqrt(19)*-2 + -4))**2 + sqrt(76)\/(sqrt(4) + (sqrt(4) + 2*sqrt(4))*-6) + 5 + -3)*-6.\nAnswer: 44070*sqrt(19)\/17 + 14892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*y**4 + 98*y**4 - 295*y**4 + (-y**3 + 1 - 1)*(65*y + 8*y + 0*y) as n + j*y**4 + s*y**2 + u*y + l*y**3 and give j.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 12200*l**2 + 182789*l - 170590.\nAnswer: (l - 12185)*(l - 14)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*b + k, -11*k + 66 = 2*b - 6*k. Suppose -602 - 778 = -b*v. What is the least common multiple of v and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 0*d + 1\/20*d**5 - 1\/12*d**3 + 1 + 1\/16*d**4 - 1\/8*d**2. Suppose x(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2. Let q(a) = -2*a**3 + a**2 - a - 1. Let j be q(g). Suppose -2*c + j*c - 3 = 0. Calculate the least common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 + (-6 - (-124 - -79)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60624 and 70728.\nAnswer: 424368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 20*d - 30. Let y be u(9). Suppose y = 4*m + m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in years?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ops when three letters picked without replacement from {o: 9, s: 1, p: 1, e: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 95 = g + 3*i, -4*g + 3*i + 380 = 0. What are the prime factors of g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79042 or 79039?\nAnswer: 79039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1799774 - 3185600137\/1770. Let j = k - 2\/177. What is the biggest value in 0.4, -6, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**5\/20 - 5*m**4\/12 + 3*m. Let o be l(5). Is o not equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -2)\/((-20)\/(-16)) - 1\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395379749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) + -2*(-12)\/168. Suppose -11 + 1 = -5*u + 5*s, 4 = 2*u + 2*s. What is the third smallest value in 0.2, -2\/5, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691601.7 years in months?\nAnswer: 8299220.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6521*d - 4423 + 21*d**3 - 22*d**4 + 6520*d - 9*d**3 - 85*d**3 wrt d.\nAnswer: -264*d**2 - 438*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-24)\/(-1536)*48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 + 188. What is the smallest value in x, -4, -0.06, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 702776647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 521*a + 7688. Calculate c(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -693 + 648. Let p = 36 + f. Which is the second biggest value? (a) p (b) 0.6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15727.2 litres to millilitres.\nAnswer: 15727200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1)\/sqrt(9)*2.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0 + 1 + i**2 - 2. Let f be s(1). Solve f = 5*h + 30 - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {n: 3, x: 3, b: 2, a: 5, i: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -14 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5370468 (base 9) to base 11\nAnswer: -1698317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m + 6, -d + 4 = -30*m + 27*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/226582 and 34\/6457?\nAnswer: 2492402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(-1)*90*(-15)\/(-300)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1008\/189*-36*(-1)\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3853\nAnswer: -3\/3853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -29. Suppose 3*n + 3 = s - p, -4*n + 2*s = 6. Let k = 0.2 + -1.2. What is the biggest value in n, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -537, -455, 185, 1383, 3139?\n\"Answer: 279*a**2 - 755*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m + 3. Let i be 60\/14 - 8\/28. Let q(z) = -1 + 3 + 0*z - z. Let b be q(i). Calculate n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/84)\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 7*j**2 + 4*j - 14. Give q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216344*z**2 - 216338*z**2 - 216338*z**2 + 649018*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/84)\/(18\/63)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1817235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beqraej. What is prob of picking 1 b, 1 e, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*m - 3*h, -3*h + 57 = 6*m - 11*m. Let a be (-18)\/12 - m\/8. Let q be 1\/(2 - (-3)\/(-2)). Solve -2*b - 2 = -q*u - 0*b, a = 2*u + 4*b - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9890647 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -28. What is the nearest to 0.3 in 2, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-20)*((-140270)\/(-4))\/(-13). Suppose -9241 + p = -19*w. Is 318 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47010 divided by -3134.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 627534, 1255075, 1882630, 2510205, 3137806, 3765439, 4393110?\n\"Answer: w**3 + w**2 + 627531*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 2*n**2 + 3*n - 3*n)*(-3*n + 0*n - 8*n).\nAnswer: 11*n**4 + 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/130 - 276689\/(-177190).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2438777 + 2?\nAnswer: -2438775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*r + 4, -3*p = -9*r + 7*r - 16. Let o(d) = -3*d**3 + 2*d**2 + 2*d + 1. Give o(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 3, 0, 1, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3422)\/(-203))\/(-59)*7\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - -0.01. Sort 0.3, o, 0.\nAnswer: o, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*x - 65 = 0, -5*m + 6*m + 4*x = 13. Solve m*h = 17*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*s + 57*s + 7*s + (1 + 0 + 0)*(2*s - 2*s - 6*s))*(-4 + 1 + 7).\nAnswer: 720*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4\/3 + 88*o**3\/3 + 92*o**2\/3.\nAnswer: -4*o**2*(o - 23)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86804 and 20.\nAnswer: 434020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 675.4\nAnswer: 70917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.83282208 + 0.2.\nAnswer: 3.03282208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16d0 + 4?\nAnswer: -16cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - a + 4555 = -0*a, 3*x + 2*a + 6843 = 0. Let y = 6021 - x. What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98821 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -133. List the prime factors of q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-15)*-1 - 7\/(-5). Let g(q) = 102*q**2 + 3*q - 1. Is g(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*y - 3*n, -12229 = y - 5*n - 12237 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**2 - 3*a + 93. Let y(m) = m - 2. Let n be y(-6). Let j(b) = 11*b - 8. What is n*s(t) + 3*j(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3683 = -3683 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4433 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -6*s**2 + 22*s - 1136. Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -790237240\/7 or -112891035?\nAnswer: -112891035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33 - 34)\/(2\/1646). Let y be (64\/(-4))\/(2\/58). Let q = y - l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**5 + 1\/60*o**6 + 1\/12*o**4 + 0*o + 0*o**3 - 2*o**2 + 0. What is the second derivative of x(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*d, -45*d + 48*d = -13*u + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 30. Let k be u(-10). Suppose -3*v = -13 - 17. Let b(s) = s**3 - 10*s**2 - s + 14. Let l be b(v). Sort 1, l, -3, k in descending order.\nAnswer: l, 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2. Let x(p) = -p. Let h(z) = -4 + 6*z + 4. Let s(v) = -6*h(v) - 39*x(v). Give o(s(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*a - 15, q + 10 = 3*q + 2*a. Suppose -q*v = -2*v - 35. Let o(t) = -t + 10. Let p be o(v). Solve 7 + 1 = p*z + 4*d, 0 = 5*z + 2*d - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2617351049 rounded to 3 decimal places?\nAnswer: -0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 68. Let a = -51 - j. Solve v - 28 = 4*r + 4*v, -a*v - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39aa (base 12) to base 7.\nAnswer: 25162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36549025 to the power of 1\/2, to the nearest integer?\nAnswer: 6046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1226*y + 6 + 9 - 22 + 5.\nAnswer: -1226*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638119 is divided by 478.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 23879 + 23891 = 4*l, -3*u = 3*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.53974ng to tonnes.\nAnswer: 0.00000000000004953974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 1, -4 in decreasing order.\nAnswer: 1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 4\/3*c + 1\/6*c**4 + 2*c**2 - 50 + c**3. Factor m(v).\nAnswer: (v + 2)**2*(2*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65 and 70.3861?\nAnswer: 5.3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 4, 7, 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9762)\/(-48) + 6\/(-16). Let b = -19 + j. Suppose -3*p = -p + n - 208, -5*n = -2*p + b. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 4631781?\nAnswer: 101899182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsekf. What is prob of sequence kv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let b = 1 + -2. Let k be d(b). Let f = 0 - k. Is f > 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 13849*m - 13845*m - 1 + 5.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 153, 180, 207, 234?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0753 + 6.0753. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/120476, 19?\nAnswer: -1\/120476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2\/5 - 36096*j\/5 - 36092\/5 = 0. What is j?\nAnswer: -9023, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 + 40*k - 1. Determine v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -163090463.8 to the nearest one hundred thousand.\nAnswer: -163100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 389068*u**5 + 183001*u - 4 wrt u.\nAnswer: 7781360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9003192 and 537504.\nAnswer: 36012768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - 4)*(-3 + 3 + r**3) - 2*r**3 + r**3 + 3*r**3 + 7*r + 6*r**3 - 7*r as o + v*r**2 + a*r + k*r**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4 - 135\/10. Let d = 17 + y. What is the remainder when 14 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(-2*t - t + t + (-1 - 2*t + 1)*(4 + 1 - 4) + 5*t - 4 + 4 + 1 - 2*t - 3*t + 3*t) + t - 2 + 2.\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -0*f, -3 = -d + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + (16 - 142) - -22) + -2 + 17?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 436 = 1386. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 10*i - 5*i. Let d be 7*(-5 - (-29)\/i). Let l(c) = c**2 + 1. Let u(y) = 9*y**2 - 2*y + 7. What is d*l(k) + u(k)?\nAnswer: 3*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.6 - -160. Sort 34, w, -1\/4 in decreasing order.\nAnswer: 34, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -s - 4*y - y, -s + 15*y - 13*y = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**4\/2 + 16*q**3\/3 - 2*q**2 + 8*q - 222. Is v(4) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -251 != 9772\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 34*i**2. Let f(r) = -4*r**2 - 21*r + 9. Calculate f(o(p)).\nAnswer: -4624*p**4 - 714*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5599 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/425*-4*1\/(-2)*4.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 12*w. Let n be t(10). Let m(s) = -s**2 + 24*s - 74. Let i be m(n). Let x(q) = -q**3 + 5*q**2 + 7*q - 6. Give x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 + 35*h + 131. Let w be o(-9). What is the greatest common divisor of w and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b**2 + 6*b + 3. Let o(v) be the second derivative of v**5\/20 + v**4\/12 + v**3\/6 + v**2 - 2*v. Let m be o(-2). Give j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -789427.\nAnswer: 4736562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35295358\/396493 - (89 + 0)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -24. What is the highest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*q, -18*q + 15*q = -3*m + 9 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**46 assuming k is positive.\nAnswer: k**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 792\/6 - -1.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d = 56*d + 277 + 1079 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 10. What is p(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*-16*360\/3456.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*w = -12*w + 84. Let j = 4.074 + -0.074. What is the third smallest value in j, 0.5, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((11\/(-8))\/11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -25040*w. Let g(s) = 27722*s. What is q(g(o))?\nAnswer: -694158880*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -304, -587, -942, -1345, -1772?\nAnswer: -2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64825, -57388, -49951, -42514, -35077?\nAnswer: -27640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16828 is divided by 263.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179742.\nAnswer: 2, 3, 29, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:30 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6) + -4*sqrt(6)*2))**2 + -6*(sqrt(3) - (-3 + sqrt(3) + 0)).\nAnswer: -879\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.5 - 0.5. Let v = -11 + h. Let y = -9 - -9.1. Which is the closest to y? (a) v (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 916, -39, -16, -17, -5.\nAnswer: -39, -17, -16, -5, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 80*i**2 - 510*i + 69. Let n be j(-32). Let p(u) = -u**2 - u - 1. Let s(v) = 3*v**2 + 9*v + 2. Give n*p(y) + s(y).\nAnswer: -2*y**2 + 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 38. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:56 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*l - 76*l + 74525. Let n(m) = 1495 + 1490 - l + m**2. Give n(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 38. Let d = y - 9. What is the second derivative of -s**2 - 1 + 3*s + d - 5 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (372\/310)\/(2\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 1570 - 1375 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - t - 68 = 0, -6*j + 3*t = -8*j + 161. Let w = j - 69. What is the units digit of 2 - -34 - w\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.32 - 5.32. Let l = 0 + -4. Let j = v + l. What is the smallest value in 5, j, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22675564 is divided by 2767?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -10, -4.3, 0.0022?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(6\/(-28))\/(72\/(-84))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*k + 20*v + 112 = -276*k, 3*k = 4*v + 38 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261717 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104083963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 186 - 206 = 4*s, 2*s = 32*g + 188 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, w: 2}. What is prob of picking 1 w and 1 g?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-9 - -15) - -76. What is the greatest common divisor of l and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 910\/(-72) - 4\/(-18) and 4\/(-14) + (-508)\/(-112).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 29*l**3 - 72*l**2 + 6*l + 8. Let r(h) = h**3 + h**2 + h + 1. Let n(t) = j(t) - 6*r(t). What is the third derivative of n(i) wrt i?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwb when three letters picked without replacement from fdefdoobfefdwdoeee.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 11:44 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*i - 1, -i = -31 + 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057312, -2114629, -3171946?\nAnswer: -4229263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -z - 4, -2*z = 28*m - 25*m - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -12 - (-24 - (-17 - -20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from fffc.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**2 + 148*a - 1. Calculate x(-2).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 + 4 + 34\/2. Suppose -4*d + c = 0, 4*d = 5*w - 4*w - 3767. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/38*2 - 0. Let s = 59 - 47. Suppose -5*u = -5*d - 15, 0*d - s = -d - 4*u. Is q less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {h: 3, j: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**5\/20 - 7*v**4\/12 + 7*v**3\/6 - 2*v**2 + 65*v - 43. Let b(k) be the first derivative of x(k). What is b(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 8. Let t be q(4). Let v = -0.667 - 0.333. What is the fourth biggest value in -0.5, 10, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 847\/9. Let d = 26 + -22. Suppose -2 = -3*c - 17. What is the closest to -0.1 in a, c, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 583510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-32) + (0 - 1 - -5). What is the highest common divisor of h and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/8*(-6)\/9 - -5. What is the second smallest value in -5, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 93*n - 88*n = -52, 40 = -2*l - 4*n. What is the closest to l in -21, 1\/4, -3\/5, -2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d + 29 - 52*d - 43.\nAnswer: -32*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 158155?\nAnswer: 158155.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v**2 + 3*v - 6. Let p be y(-3). Solve i + p*f = -1, 16 = 2*i - 0*i - 3*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*m**5 + 56556*m**4 - 3176620*m**3 + 52105700*m**2 + 281164000*m + 331240000 = 0. What is m?\nAnswer: -20\/9, 49, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y + 3. Let a be r(2). Let u(t) = 0*t + a*t + 4*t + 5. Let p(d) = 8*d + 6. Let g be 74\/14 - 4\/14. What is g*p(z) - 6*u(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 39*y**2 - 3*y + 2. Suppose -4*x + u + 12 = 0, -3*x - 2*x = -u - 15. Let s = -2 + x. Is t(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 0. Suppose -l - 3 = -5*c. Suppose 5*p = -5 - 0, c*j = -2*p + 1392. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 555, 3\/11.\nAnswer: -34, 3\/11, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 9*m - 24*m**2 + 7*m.\nAnswer: -22*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.2 - -3.2. Let y = x - -70. Which is the second smallest value? (a) 0.2 (b) 0 (c) -0.1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 753 + -551. What is the common denominator of 51\/22 and c\/(-704)*(40 - 41)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - (23 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j - 39 + 200*j**2 + 61 + 48 + 104*j**2 wrt j?\nAnswer: 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 - 44. Calculate the remainder when c is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, -237, 2\/9, 2\/33 in decreasing order.\nAnswer: 2\/9, 2\/33, -2.4, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 3, 5, -1 in ascending order.\nAnswer: -99, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 24 - -4) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11142 (base 5) to base 4.\nAnswer: 30131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 453*d - 3355 - 16124 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2.77?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25970 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.7 + 9.7111. What is u rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -19*q - 7. Let u be i(-25). What is the highest common divisor of 52 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 3:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 11) in base 10?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 3)\/((-8)\/124). Let y be r\/(-6) + 6\/(-9). Suppose 0*g - y = -g. What is the lowest common multiple of g and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1659 and 52851.\nAnswer: 369957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*m + 2 = 0, -4*c - 4*m + 13 = -11. Suppose 0*p - p + c = 0. Let r = 15 - 3. What is the least common multiple of p and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 309*t - 4671. Give k(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: 60\/16*(-1384)\/(-9515) + 348\/(-1122)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o**2 + (4 - 4 + 4)*(o - 3*o**2 - o))*(-4*o**2 - 3*o**2 - 5*o**2).\nAnswer: 120*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 - w - 6. Let c(z) = -11*z**2 - 2*z - 13. Let d be ((-24)\/60)\/(2\/(-260)). Suppose -d = 3*r + r. What is r*o(f) + 6*c(f)?\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -1)*(-35)\/70. Suppose -5*d + 3*x + 16 = 4*x, -3*d = -x - 16. Sort -4, j, d, 10 in descending order.\nAnswer: 10, d, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*g**3 - 6*g**2 + 2*g?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 500958 + -286013. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 323 + 765 = 0. What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 7:05 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114)*-1))*5)\/sqrt(2))\/((sqrt(147) + (sqrt(147) - -1*-3*sqrt(147)))*3) + 4.\nAnswer: -12*sqrt(19)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c. Let l(n) = -9*n**2. Give s(l(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(3\/4)*(n\/(n**(-2\/5)*n*n))\/(n*n**(4\/7)*n) assuming n is positive.\nAnswer: n**(-339\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -40*p**4 + 54*p**3 - 8*p**2 - 6*p = 0.\nAnswer: -1\/4, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 4, -0.09, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27\/598 in 1\/7, -45, 1.9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 722.353 - 6.353. Which is smaller: b or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 - 10*y - 25. Calculate k(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.91 and -527973?\nAnswer: -480455.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) 2\/9 (c) 8\/3 (d) 0 (e) -2\/9 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffxxffdfzffxfbbbffb. What is prob of sequence dbx?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) -0.63 (c) 5\/4 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bb + -93a5?\nAnswer: -9560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 15 = -3*x, -220*x - 5 = 5*b - 221*x. Which is greater: 16\/229 or b?\nAnswer: 16\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = 34. Let m be (11\/(22\/u))\/(-1 + 3). Solve -l - m*l + 4*w = 12, 2*l - 4*w = -14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((18 - (13 + 4)) + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 706596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-2 - 0) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 271 + 111. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59906715 to the nearest integer?\nAnswer: 7740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013458 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103107 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/4))**6)**46\/(h**(2\/23)\/(h**4*h))**6 assuming h is positive.\nAnswer: h**(11787\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 31132*l.\nAnswer: -4*l*(l + 7783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -7 + (-1222)\/(-235)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.945 - 0.83772. Let r = 5.21028 - h. Let z = r + -0.103. Which is the smallest value? (a) -0.07 (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2) + 0 - (sqrt(10)\/sqrt(20) - sqrt(2)) - 1*(0 + sqrt(32)).\nAnswer: -5*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6 + 0*w**2 + w**3 + 4 - 6 - 3*w**2. What are the prime factors of h(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159? (a) -6766 (b) -0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 6*l**2 - 7*l + 3. Let s(r) = 4*r - 1. Let v be s(2). Let t be g(v). Solve 0 = -t*k + k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w, 4*q + w + 3*w = 20. Let t(y) = -y**3 - 7*y**2 + y + 9. Let z be t(-6). Let p = 36 + z. Solve -p*j - 4 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 40 = 5*g. Let r(b) = 2*b**2 + b. Let n(v) = 13*v**2 + 19*v + 12. Let s(f) = n(f) - 6*r(f). What is the units digit of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8025\/56 - 429\/28. Let f = -297\/2 - a. Find the common denominator of f and -5\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44569?\nAnswer: 7, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.434 and 8.9.\nAnswer: 3.8626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 3127.3?\nAnswer: -9381.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2733*l**3 + 4102*l**3 - 2 + 2*l**2 + 20315*l - 2*l**2 - 17914*l wrt l.\nAnswer: 41010*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032 = 2*o + 182. Suppose -3*j - 2*j + o = 0. Let s = j + -69. Solve 0*f - 4*f = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-942)\/1413*(-2)\/((-10)\/255)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - d + 4 + 2*d + 0*d - 4*d - 4*d + 2*d + d + (d - 3*d + 0*d)*(5 - 3 + 0) + (8 + 11*d - 8)*(4 - 8 - 1).\nAnswer: -63*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83696? (a) 24 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165083893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c - 3. Let m be v(2). Suppose 0 = -p + m*p. Solve -2*n + 0*n = p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/39)*u\/u**(-3\/17) assuming u is positive.\nAnswer: u**(1477\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10 - 32\/(-40). Let z(h) = h**3 - h**2. Let x(d) = d**3 - d**2. Let m(s) = o*x(s) - z(s). Factor m(k).\nAnswer: k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94246?\nAnswer: 2, 47123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 17\/4, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4888 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 6*w - 4*j = -7, -5*w + 31 = 4*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -28. Let m be (-545)\/(3 + -8) + s. What is the greatest common divisor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 7)*(-3*i + 3*i - 2*i**2)*(i - 4*i + i).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 13. Let g be o(8). Let v(p) = p + 13. Does 8 divide v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3729349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24748, 0.1, 2, -3 in increasing order.\nAnswer: -3, 0.1, 1, 2, 24748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose -5*z - 11*k = -11, -k - k = 3*z - 2. Solve n*q + 3*u + 0*u = z, 5*u = 4*q + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (577*j + 408 - 202 - 206)*(2 - 1 - 3) - 36*j - 8*j + 0*j.\nAnswer: -1198*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 209112479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102678 divided by -2?\nAnswer: -51339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 44*m - 313 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2. Let d(q) = -11*q - 13. Let l(y) = -4*y - 4. Let j(n) = 2*d(n) - 7*l(n). Give j(z(a)).\nAnswer: -12*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 + 161. Solve o - 4*n - z = 0, 9 = -3*o + 2*n + 28 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = -24 + 112 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 59 - 4. Let y be (-78)\/(-21) - 6\/j. Find the third derivative of -2*f**2 + 3 - 3 + 2*f**y wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 5*d + 5. Let b(j) = j. Let o be b(2). Suppose -o*c + 3 = -11. Let n(h) = -6*h**2 - 7*h - 7. Determine c*w(x) + 5*n(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 15 - 33 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112005.039 - -111999.3389953. Let q = -59.3 - -65. Let a = q + i. Round a to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u. Suppose -o - 5*t = 16, o + 6*t - 2*t = -12. Let p(r) be the third derivative of -1\/12*r**o + 0 + 0*r**3 + 4*r**2 + 0*r. Determine p(f(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22440, -44876, -67312, -89748, -112184?\n\"Answer: -22436*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 2.662.\nAnswer: -1.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -60. Let r(q) = q**2 - 7*q - 3. Let c be r(7). Let v be 26\/3 + c\/(-9). What is the highest common divisor of a and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 119.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11102 (base 3) to base 12\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425795464?\nAnswer: 2, 17, 79, 39631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2\/3 + 375880*y\/3 + 2630915\/3 = 0.\nAnswer: -75169, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -i, 4*c - 6*c = i - 2. Solve 3*n + 4*g - 29 = -7, -i*g + 20 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 6*d - 109. Solve 4*m = d*p + 8, 0*p + 3*p + 5 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g - 3. Suppose -4*x - 3 = 5. Suppose w + 1 - 11 = 0. Calculate the remainder when q(x) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -645 - -908. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16425151 (base 8) to base 3.\nAnswer: -21011200000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3. Let v(p) = 5*p - 108. Let t be v(22). Let c(o) = -o + 6. What is t*c(w) + 5*u(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9172.871 milligrams to micrograms.\nAnswer: 9172871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.78 + 0.22. Let a = -2.4 + q. Sort a, 5, -1\/7.\nAnswer: a, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Let p be y(-1). Let i be -15*(-4)\/20*p. Solve i = 5*x + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2670587*z - 13 - 2670776*z + 5341208*z.\nAnswer: -155*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73858350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016066602645 to 5 dps.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 33*h = -31*h + 3494204, -y - 3*h = -873551. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeeeeeeeeeeeeeeeee. What is prob of picking 1 p and 1 e?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100983970 is divided by 72860?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -29*a**2 - 29. Let d(y) = 28*y**2 + 29. Let g(w) = 3*d(w) + 4*u(w). Find the first derivative of g(x) wrt x.\nAnswer: -64*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*o = 10, 3*o + 1 = a - 17. Let z(s) = -14*s**3 - 2*s**2 - 3*s + 6. Let f be z(a). Let k = f - -617. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 6 = 0. Suppose x*n - 2*k + k = 64, -2*k + 40 = 2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/6 + 7*o**2\/2 + 2*o. Let a be t(5). Suppose 4*m + a*x - 206 = 0, -5*m - 82 = -4*x - 333. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -2 + sqrt(7) - (sqrt(847) + 1)) + ((sqrt(77)*-1*-2)\/(-2*sqrt(11)*-1))**2.\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in -2\/5, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267540 and 116480?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -15.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p + 45. Suppose -a = 4, -4*i + 5*a + 24 = 4*a. Let y(l) = -3*l + 30. Calculate i*k(z) - 8*y(z).\nAnswer: -z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 greater than -2577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 31*z**2 - z. Let l be f(1). Suppose -2*q + 1425 = 465. Suppose 10*n + 6*n - q = 0. What is the greatest common factor of l and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/13 - 40*i**4\/13 + 38*i**3\/13.\nAnswer: 2*i**3*(i - 19)*(i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/(0 + (-5)\/60). Suppose p*q = -q - 3*i + 20, 20 = 2*q + 4*i. Let b be 8*2\/(-4) - 0. Is q < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.012, 5, 23?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(5)*-6)\/(3*((sqrt(10) - -2*sqrt(10)) + sqrt(10))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*t - 13035 = 35*t. What is the greatest common divisor of t and 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 5*c - 2. Let l be u(3). What is the common denominator of -53\/2 and (31\/l)\/((-34)\/(-4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j - 8 = 0. Let u(x) = j + x**2 - x**3 - 3*x**3 + x**3 - x + 2*x**3. Let g be u(0). Solve 4*r = -5*h - 24, 4*r = -g*h + h - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 41 = -5*l, 3*l - o + 8 + 15 = 0. Let r be l + (-5)\/(-5)*10. Solve -4*n + 3*n + 9 = -2*t, 0 = -3*t - r*n + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396422.\nAnswer: 2, 7, 17, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -78. Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o + 37. Let z be l(-2). Suppose -z + 25 = -3*b. Which is smaller: -1.62 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-24)*c**(-13))\/((c*c**33)\/c*c*c**(-25)\/c) assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 132. Suppose 2*a = -3*p + p, -2*a = o. Let l(t) = -2 + 2 + p - 3. Let f(s) = s**2 - 2. Determine -f(d) + 4*l(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 1, 8, 17, 28, 41, 56?\n\"Answer: x**2 + 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.4 (c) 5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 853*q - 7743. Let d be s(10). Which is greater: 798 or d?\nAnswer: 798","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w = -46*w - 333. Put -4, 3, w in ascending order.\nAnswer: w, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 3*z**2 - 2*z**2 + 43.\nAnswer: z**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 + 423. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2 + 4*k - 2 - 3*k. Let p(l) = 15*l**2. Calculate a(p(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -654 - -444. Let x = g + 1265. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(441)\/((sqrt(168)\/sqrt(4))\/sqrt(6)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-23)\/g)\/g)\/(g\/(g**(2\/39)*g)))**(12\/5) assuming g is positive.\nAnswer: g**(-3892\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/30 - 11*p**2. Let r(s) = -4*s. Calculate l(r(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122721986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52873 + 107288. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/2131 (c) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5474\/39347 - (-2)\/(-14). Is c at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1280161965 and -27\/5.\nAnswer: 1280161965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3\/2 - 9201*h**2\/2 + 1652607*h - 41237100 = 0. What is h?\nAnswer: -3394, 27, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1271*j - 140*j**2 + 141*j**2 - 12357*j + (-2*j**2 + j**2 + 3*j**2)*(3 - 3 + 1).\nAnswer: 3*j**2 - 11086*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -14. Let o = -9 - l. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.111.\nAnswer: 0.0555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.1 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-165040)\/(-6189)*18\/(-20)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/30 - 5*m**4\/24 + m**3\/3 + 27*m**2. What is w(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4332*v**4 - 4331*v**4 - 4*v - 5*v**5 - 4*v**3 + 18*v**5 + (-3*v - v + 2*v)*(2 + v**4 - 2).\nAnswer: 11*v**5 + v**4 - 4*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y - 8. Suppose -4*d - 35*d = 5*d - 220. What is s(d)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 5:57 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7262017 (base 9) to base 8.\nAnswer: 16630161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.717955124 + -11.718. Round q to seven dps.\nAnswer: -0.0000449","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20211221 - 111210001?\nAnswer: -202121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 22?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**3 - 217*n**2 - 24*n - 144. Determine y(-24).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 2*r. Let j = r - -17. What is the least common multiple of 20 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/((((h**(-4)*h)\/h)\/h)\/h) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -24. Let y = 12 - h. Suppose -l = y*l. Solve l = -v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20273 - 20273 + 12*c + 3*c**5 + (0 - 2 + 1)*(-7*c**5 + 3*c**2 - 3*c**2).\nAnswer: 10*c**5 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 201123123?\nAnswer: 201123123.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by 2.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726034237 a multiple of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**2 - 713. Let m(k) = 115*k**2. What is w(m(x))?\nAnswer: 132250*x**4 - 713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdh. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -303*a**3 + 2*a**2 + 442. Let g(q) = 8. Let i(y) = -4*g(y) + s(y). Find the first derivative of i(j) wrt j.\nAnswer: -909*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2*k**2 + 2*i**2*u - 86*i + k**2*u + 41*k*u + u wrt k.\nAnswer: -4*i**2*k + 2*k*u + 41*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56 (b) 1.91 (c) -2\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/3417 and 14*7\/((-98)\/6) - (-134)\/33?\nAnswer: 37587","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose v - 6 = a, m*v - 6 = -2*v - 3*a. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 9*l**7\/7 + 4*l**3\/3 - 3. Find the third derivative of n(x) wrt x.\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/5 - 27708*n + 319888860 = 0 for n.\nAnswer: 23090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h**3\/7 - 62*h**2 - 517*h\/7 + 6\/7 = 0. Calculate h.\nAnswer: -3, -2, 1\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - w - 69, -r + w = -4*w + 18. Let a = r - -39. Suppose z + 15 = 6*z. Solve 0 = -z*d - a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -3\/285442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5098 rounded to one dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(833)*-1 + 0)**2 + 5.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 7*i + 260. Suppose 3*h = 1724 - 1685. Let k be m(h). Find y, given that 4\/5*y**4 - 2\/5*y**5 + 2\/5*y**3 - 4\/5*y**2 + k + 0*y = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/14)\/(9\/(-77)*693\/(-378)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-14 - 0) - (41 - 28) - -25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 360*f - 563. Calculate the remainder when j(15) is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 130.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/6 + y**5\/10 + 29*y**3\/3 + y - 18. Find the second derivative of l(k) wrt k.\nAnswer: 60*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4209*z**2 + 2671*z**2 - 11079*z**2 + 4216*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:47 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 17.4. Let c = -0.57 + p. Sort 2, 3\/7, c in increasing order.\nAnswer: c, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 47 = t. Let i be (3 - 5 - t\/15)*-30. What is the greatest common divisor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4 - 192*n**3 - 3432*n**2 - 11520*n - 10800 = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 10) to base 9\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 539 = -555, 0 = -4*k - 3*p + 56. Solve -k*o + 58 = 47 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Let c = g - -11. Let q = 37 - 36.9. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (14 + 5 + 18512\/(-403)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b - 67*b - 339 - 417 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -23 + 5 + 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 9*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 + 3*r + 7. Let t = -23 - -26. What is the remainder when s(5) is divided by (-1)\/t - (-1 + (-292)\/12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((-2794)\/(-18) - 2). Let b = j + 150. Let t = -1877 - -1877.12. Which is greater: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6361 + -0.1361. Let w = -6.03 - -6. Let b = 108 + -107.9. What is the biggest value in p, w, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15856477 divided by -13.\nAnswer: 1219729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 24*u + 561. Let a be y(17). Sort 3\/5, -3, a in descending order.\nAnswer: 3\/5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/6989 or -0.1?\nAnswer: 2\/6989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 7*n - 4. Suppose 10*r + 64 - 244 = 0. Suppose -t - 23 = -4*b, -3*t + r = -5*t + b. What is o(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + s + 10. Let c = 375 - 369. Let l be v(c). Calculate the greatest common divisor of 33 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 14. Let x be v(4). Suppose q + x*q = 4*f + 4, 12 = 2*q + 2*f. Calculate the remainder when 34 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -18*v**2 + 864*v + 8. Determine o(48).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 16190002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*i - 8187 = -376*i - 13992 - 20826 for i.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -640174*h**3 - h**2 + 13*h + 274.\nAnswer: -3841044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 - 105\/(-6). Let z be ((-6)\/t)\/((-1)\/(-3)). Let y be (1\/(-2)*0)\/z. Solve y = 3*q - 0*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -6 + 2, f = j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*b = 216, -4*b + 653 - 213 = -2*x. Let w = 315 - x. List the prime factors of w.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (6 - (-15)\/9 - 2). What is the smallest value in k, -2\/15, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-36)*(-3 - -1). Let s = -173.72 - -174.72. What is the biggest value in s, 1\/2, 1\/13, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-70))\/(609\/188790).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*f - 7*f**2 - 691*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (1 - -1) - -1. Let j = 66 + -68. What is the second biggest value in -1\/4, y, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + (-7348)\/55 + -2. Suppose -2*g - d = 272, 2*g + 4*d = 6*g + 532. Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74230 (base 8) in base 15?\nAnswer: -9232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3 - 18. Suppose x - 58 = -2*x + 4*w, 4*x = -g*w + 36. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -23*u + 26*u + 52, -4*c = -u - 124. Solve -c*q - 324 = 22*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12679\/17 at least -0.014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1\/3, 0.3, 15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -52b80?\nAnswer: -52b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4320)*1*2 - (sqrt(4320) + -2*sqrt(4320))*5)\/((sqrt(42)\/sqrt(7) + sqrt(6))*-3 - (sqrt(6) + (sqrt(54) + sqrt(864) - sqrt(54))\/sqrt(9))))**2.\nAnswer: 35280\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121321 take away -117?\nAnswer: 121438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-11) + (-8)\/(-44). Let d be ((-5)\/10)\/((-1)\/h). Let a = -5 + 5.4. Sort d, a, -5 in decreasing order.\nAnswer: d, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 587 + 5621?\nAnswer: 6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 294743613 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:28 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02839 and 2.3.\nAnswer: 0.065297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/34310 and 23\/4.\nAnswer: 68620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(396)\/((sqrt(144)\/sqrt(3))\/sqrt(4) + sqrt(12)))\/(sqrt(121)\/((sqrt(99)*-1)\/sqrt(9))).\nAnswer: -sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -2 - (2 + -8). Suppose 24 = -5*k - w. Let p be (-9)\/k - (-1)\/2. Solve -5*f = m + 6, 0 = m - p*m + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/7168110 and -127\/258522.\nAnswer: 78849210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5827, 1\/3, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 261. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 3\/(-9)*(-99)\/6. Which is the second biggest value? (a) -0.2 (b) p (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/d**5)\/d*d*d)\/d**(3\/7))**(-6\/31))**(2\/185) assuming d is positive.\nAnswer: d**(204\/40145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 12) + -11 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 3*k**3 + 0*k**3 + (0 + 1 - 3)*(-18*k**3 + 4 - 4) + 206*k**3 - 9052 + 9052 in the form x*k**2 + b*k + m + f*k**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 - 72*d**2 - 276*d - 6633. What is r(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*q - 6. Suppose -3*f + 4*a + 36 = 0, -a + q = -2*a. Calculate the greatest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -24 - 63*v - 56*v + 120*v. Let q(l) = 13*l**2 + 9*l - 9. Let w(s) = 6*s**2 + 4*s - 4. Let t(d) = -4*q(d) + 9*w(d). What is t(y(b))?\nAnswer: 2*b**2 - 96*b + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -3*x**5\/4 - x**4\/6 + 71*x**2\/2 - 12*x. Differentiate v(n) with respect to n.\nAnswer: -45*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeefefefeeeeeeeeef. What is prob of picking 3 f?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 39*g - 315 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 2*k - 5. Let w = -9 + 4. Let y(b) = 7*b**2 - 2*b - 6. Let v(a) = w*y(a) + 6*r(a). Factor v(i).\nAnswer: i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/3 - 477268*q\/3 + 56946185956\/3 = 0. Calculate q.\nAnswer: 238634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -49326465 at most -49326465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + 37*l + 70*l to the form k + s*l and give s.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071124526 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -810 + 813. Put -64, 0.4, -2, j in decreasing order.\nAnswer: j, 0.4, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 10*s**2 + 6*s - 1. Let x be z(-9). Suppose -4*y - 3 = v, -4*v + 2*y = -y - x. Suppose 0*c = -v*c + 55. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49\/10 + 27\/5. Let v = 0.3 - 1. What is the fourth biggest value in 0.4, v, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Let k = 8 - z. Let h be -5*9\/(-30)*222\/(-999). What is the nearest to h in k, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 5981796?\nAnswer: -5981796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 51 (b) -10\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 - (-11 + -10 + 23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1981351249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:28 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:36 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9159.\nAnswer: 3, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853993 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - h**2 + h + 3. Let u be o(0). Suppose 10907 + 193693 = u*c. Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*z**3 - 160*z**3 + 325*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1806*k**6 - 1483*k**2 wrt k.\nAnswer: 216720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5133 - -14314. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(-11\/6)\/(h\/((h\/(h*h**(1\/5)))\/h)*h*h*h\/(h*h**18)*h) assuming h is positive.\nAnswer: h**(823\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29107663\/60 - -1713157\/15. Let h = -1683960643\/4540 - z. Let b = 2\/227 - h. What is the nearest to -1 in -1, b, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 12*v**3 - 8*v**2.\nAnswer: 4*v**2*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 4.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4291705?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1064\/566557?\nAnswer: -1064\/566557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1848a + 59?\nAnswer: 18516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3089636230 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 7. Let a be v(-3). What is the derivative of -k**4 - 7*k**4 - 6 + a*k**4 wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*n - 13, 0 = -b - 4*n + 2*n + 3. Suppose 3*d - b*d - 20 = 0. Is d at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2723.7 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 511697657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 6*j + 22. Let w be r(-8). Let b(n) = 41*n**2 + 5*n - 16. Let s be b(w). Suppose -10*y + s = -0*y. What are the prime factors of y?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h + 1. What is the remainder when y(-2) is divided by ((-2)\/4)\/(5\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 1. Let y(i) = i**2 - i + 1. Let z be y(2). Let s = -2 + z. Let t(r) = -r - 7 + 20 - 13. Calculate s*m(g) - 5*t(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - h + 102 = 0. What is the remainder when 82 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.6855418 months?\nAnswer: 0.00022379515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0.122 (b) 5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-10) - (-118609)\/85 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 19*p - 78 + 58*p - 79 + 231 to t + h*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.472 from 4.59855.\nAnswer: 5.07055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -f - 22, 0 = 5*f - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 351\/(-189)*7*(-24)\/52*6\/(-28)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 + -181. Let r be (-4)\/(-18) + (-130)\/18. Let c = r - 7. Is v smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 2\/3 (c) 2\/7 (d) 0.02 (e) -0.554 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -6, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031*n - 1037*n = -19152. Is n a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 449 - 50 = r, 0 = -4*p - r + 401. Suppose -8 = -j - 0*j - 4*g, p = 5*j + 5*g. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 24. Let f be l(10). Calculate the common denominator of (f\/((-64)\/(-292)))\/3 and -137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + o - 7. Let i(w) = -4*w**2 + 2*w - 14. What is 2*i(r) - 5*m(r)?\nAnswer: 2*r**2 - r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 60*v**2. Suppose 0 = 5*h - 3*k - 0*k - 2, 0 = -5*h + 5*k. Let o = -2 + h. Let l be z(o). Calculate the greatest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-135))\/(14\/10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 635, 670, 719, 788, 883, 1010?\n\"Answer: s**3 + s**2 + 25*s + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24739*p**3 - 67459*p**2 + 35954*p + 16 = 0 for p.\nAnswer: -1\/2249, 8\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4477\/(-5624) + 6\/16\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**3\/2 + 429*n. Let k(l) = 616*l**2. What is q(k(s))?\nAnswer: -1848*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*d**2*r**2 + 29*d**2 + 1006*d + 2582650*r**2 + 4 wrt d.\nAnswer: -172*d*r**2 + 58*d + 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/13, 3, 1, -6, 0.1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-5\/4)*y)*y*y*y)\/y)\/(y*y**(2\/7)\/y)*(y*y**(1\/3))**(-5\/13))**(2\/165) assuming y is positive.\nAnswer: y**(317\/18018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10) + 1025\/(-750))*6\/55?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5494*t + 0*t**4 + 5494*t + 2*t**2 + 187 - 3*t**4 to the form q*t**3 + c*t**2 + w*t**4 + y*t + s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 24. Determine q(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/374 and -67\/136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65240715 rounded to four dps?\nAnswer: 0.6524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -65, -95, -147, -227, -341?\n\"Answer: -w**3 - 2*w**2 - w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -3*u**4\/2 - 58*u**3\/3 - u**2 - 82*u + 919. What is the second derivative of s(g) wrt g?\nAnswer: -36*g - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1293 - 3?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*2 + sqrt(225))\/sqrt(9))\/((sqrt(80) + sqrt(5))*-2 - sqrt(5)) + ((sqrt(35) + (-1*sqrt(175))\/sqrt(5))\/sqrt(7))**2*1.\nAnswer: -3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -839, -1941, -3459, -5381, -7695?\nAnswer: -10389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 t when three letters picked without replacement from itipiuiui.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*b**4 + 25*b*l**3 + 411*l**3 wrt b?\nAnswer: 84*b**3 + 25*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2556*s*w**3 + 2*s*w**2 + 5694*w**3 - 815706*w**2 + 15 wrt w?\nAnswer: -15336*s + 34164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 2, e: 4, d: 4, u: 1, k: 3}. Give prob of sequence keeu.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 22.012935 months?\nAnswer: 0.00183441125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -438, -856, -1274, -1692, -2110, -2528?\n\"Answer: -418*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 9*b**2 - 5*b - 9. Suppose -5*q = 3*l - 28, -l = -2*q + 25 - 5. Calculate the remainder when 56 is divided by t(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 97. Calculate the least common multiple of ((-4)\/t)\/((-1)\/(-15)) and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5, -4*c - 67 = -5*k + 88. Calculate the remainder when k is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*0.55\nAnswer: -7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdowoow. Give prob of sequence oo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-4)*-2 - 2. Suppose -m*r - 3 - 3 = 0. Is (-10)\/(-2) + 0\/r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -24*b + 126. What is the highest common factor of 406 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -g + 1, -3*g + x - 7 + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 2}. What is prob of sequence ncn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k**3 + 0*k**5 + 13\/210*k**7 + 0 - k**2 + 0*k**6 - 1\/8*k**4 + 0*k. What is the second derivative of v(s) wrt s?\nAnswer: 156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-50))\/(9\/(270\/(-16))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**8\/11760 - v**7\/2940 + v**6\/2520 + v**3\/6 - 5*v**2. Let g(a) be the first derivative of b(a). Suppose g(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**10*x*x)\/x*x)\/x)\/(x*(x*x*x**3)\/x))\/((x\/(((x*x\/(x*x\/(x*(x**(3\/2)\/x)\/x*x)))\/x)\/x))\/(x\/(x*x\/(x**(-15)*x)*x))))**8 assuming x is positive.\nAnswer: x**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -1.1. Let m = -2.4 - 2.6. Which is the closest to o? (a) -4 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 841 and 30740?\nAnswer: 891460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -72*g + 72*g + 2*g**2. Let k(t) be the second derivative of -t**4\/12 - t. Calculate k(p(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -580*r + 514882 - 541562 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 447304.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = c + 104. Let r = 17 - c. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/210)\/(((-55)\/15)\/11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2055317553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.64 + -1.76. Which is the second biggest value? (a) j (b) -3\/2 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z**4 + 11*z**4 + 2 - 21*z**4)*(z + 5*z + 3*z) + (4*z**3 + z**3 - 7*z**3)*(7*z + 6*z**2 - 7*z).\nAnswer: 15*z**5 + 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**2. Let d(n) = 33*n. Give d(p(f)).\nAnswer: 429*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/(-236))\/((-4)\/(48\/105)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13 - 5 - 7*x**2 - 147*x**3 - 5*x + 146*x**3. Let i be n(-6). Solve 2*k + i = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1766*j - 28256. Let u be o(-16). Solve x + 1\/4*x**2 - x**3 - 1\/4*x**4 + u = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 26. Suppose r*b + 92971 = 1292971. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61807 is divided by 685?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 9*b**4 - 3*b**4 - b**4 + 4*b**4 - 2*b**4 - b**4 + 6*b**4 - 3*b**4 + (-2 + 3 - 2)*(0*b**4 + b**4 - 3*b**4) + 6*b**4 - 4*b**4 - 3*b**4.\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410654463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241728, -241711, -241668, -241587, -241456?\nAnswer: -241263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -70. Is 6\/(-4)*x\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.023025 - -1266.263025. Round r to the nearest 10.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247 + -212. What is the units digit of -906*(l\/21)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 9320*u**2 + 225840*u - 1359360.\nAnswer: -5*(u - 12)**2*(u + 1888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**4*q - 2*g**4 + 2093*g**3*q - g**3 - 2*g**2 - 136*g*q - 313*q wrt g?\nAnswer: -192*g*q - 48*g + 12558*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44748\/(-486) + 92 + 1886\/(-54)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18941728, -18941738, -18941748, -18941758?\n\"Answer: -10*h - 18941718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 19*x - 32. Let a be u(16). What is the highest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8242797 divided by 3?\nAnswer: -2747599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7449 is divided by 834.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 20*n + 40 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/36 - 11*x**3\/18 - 5*x**2\/3 - 6*x - 42. Factor q(j).\nAnswer: -(j + 1)*(j + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814308764 to the power of 1\/3, to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-54)\/(-135).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 16) to base 4\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:45 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 75386740.\nAnswer: 226160220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41810 and 40?\nAnswer: 167240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -9.95 (c) -3\/8 (d) 8 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1402*v**2 - 327*v**2 - 711*v**2 + 315*v**2.\nAnswer: -2125*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -11 + 58 - 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuoouoouo. Give prob of sequence ouo.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.07, -2\/15, -33559?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 506 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -5\/3454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(119)*-5 - sqrt(119)) + sqrt(119))\/((-4*sqrt(63))\/sqrt(9)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -378, -377, -376, -375, -374?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-524)\/(1\/(-3) + 0). Let l = -11038\/7 + c. Calculate the common denominator of -69\/8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083244?\nAnswer: 2, 227, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257458 is divided by 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4237605534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, i: 6}. Give prob of sequence oii.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -804 - -811. What is the highest common factor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:09 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -138, -280, -422, -564, -706?\n\"Answer: -142*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 + 31*o**2 - 9. Let h(r) = 194*r**2 - 1. Give s(h(b)).\nAnswer: 37636*b**4 - 388*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tstt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -170 or 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 15406345 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1302 and 9681?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273053, 273051, 273049, 273047, 273045?\nAnswer: 273043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636691 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-26))\/(162\/(-5832)*-18).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.8 + 64.87. Let q = 128 - 139. What is the third smallest value in j, q, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77821127 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**16\/l*l)))\/l*l**(3\/7))\/(l**(2\/3))**27 assuming l is positive.\nAnswer: l**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003401 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70308?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m - 420. Calculate the remainder when n(-46) is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -19. Suppose 648 = 3*u - w*j, u + u + 4*j - 410 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/45*3*1. Suppose 12 = -5*v - 8. What is the smallest value in 1\/2, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -5*c, f - 5*f = -3*c + 38. Let l be (-59)\/2*(2 + -3 - 1). Let m = l - 36. What is the remainder when m is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40816 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**0\/g)\/g)**(-49)*(g**0\/g*g)**(-5\/2)*((g*g**1)\/g)\/g**(2\/7)*g\/(g\/(g**(-4)\/g))*g**(2\/9) assuming g is positive.\nAnswer: g**(-256\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -37315?\nAnswer: -37314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(6\/1))\/(17\/34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*b*c**3*y**2 - 681923*b*c*y - 2*c**3*y**2 - 12*c**3 + 3109700*c**2*y**2 wrt b?\nAnswer: -21*c**3*y**2 - 681923*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 37687.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (29 - (36 + 1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -459 + 160. Let y = -90 - l. What are the prime factors of y?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m + 4*m + 5*m)*(21 - 3 + 25) to the form h*m + n and give h.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 40. Let o(s) = s - 10. Let q(v) = 2*h(v) + 8*o(v). Let t(w) = -125*w**2. What is t(q(d))?\nAnswer: -8000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 + (-3 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 10*t**2 - 4. Let x be 7\/(-21) - 93\/(-9). Give s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/4 - h**2. Let l(m) = 12*m**2 + 5*m + 5. Let z(v) = 14*v**2 + 6*v + 6. Let u(o) = 6*l(o) - 5*z(o). Calculate i(u(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 119, 4.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-187)\/(-6) + (-2)\/12 + 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 - 15*s - 2*s**3 - 8 - 232*s**5 + 0 - 10 wrt s.\nAnswer: -4640*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/3)\/b*b*b)**(-2\/21)\/(b\/(b\/b**14))**(-6\/17))**(4\/7) assuming b is positive.\nAnswer: b**(20080\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2240 and 735.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h. Let a(s) = 4*s. Let o(x) = 9*x. Let m be (-33)\/15 + (-2)\/(-10). Let i(f) = m*o(f) + 5*a(f). Determine r(i(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 5 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 - -20. What is the remainder when 136 is divided by (72\/u)\/(((-2)\/(-15))\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 + 5 = 0. Suppose -3*q = -2*w - 438, -q + 163 - 34 = b*w. Calculate the highest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3902.972 + -3828. Let f = 5.688 + l. Let w = 80 - f. What is w rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -10\/21*d**4 - 2*d**2 - 1\/15*d**5 + 0 - 128*d + 2\/7*d**3. Factor i(s).\nAnswer: -4*(s + 3)*(7*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.22. Let w = 0.931 - 0.531. What is the second biggest value in w, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31073 divided by -193\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1977, -6512, -14075, -24666, -38285?\nAnswer: -54932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11316 - (-6 + 2 + 5 + -1). What is the greatest common divisor of 123 and g?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32\/3, -0.4, -0.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (3 - -14) - 5) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 700\/(-250)*-24*100\/(-960)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = -2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 866 - 866. Let v(f) be the first derivative of 81\/10*f**5 - 81\/8*f**4 + 9\/2*f**3 - 6 - 3\/4*f**2 + w*f. Let v(n) = 0. What is n?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:46 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4913 + -4912.415. Which is the biggest value? (a) -2\/3 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 4, 28, -1 in decreasing order.\nAnswer: 28, 4, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51587 is divided by 3191.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 + -150. Let i(w) = 3*w + 13. Let l be i(c). Suppose -a = -l*a + 1644. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -192? (a) 3 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 + -268. Solve q - 8 = -2*t - 1, 3*q - 3*t + 6 = i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-18) - 92\/(-24). Suppose 4*c + 4*s = 11 + 17, -3*c + 5*s - 11 = 0. Let b(o) = -2 - o**c + 6*o + o**3 - o**2 - o**3 + 4*o**2. Calculate b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 - (88 - (188 - 42)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 77. Let g be a(-17). Let v(d) = -37 - 35 - g*d + 74. Let h(j) = 4*j - 1. Determine -5*h(z) - 2*v(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - -35. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by 130.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 218. Let i be f\/26 - (2\/13)\/(-1). Sort -5, i, -1, 2 in decreasing order.\nAnswer: i, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 604 from -0.18658.\nAnswer: -604.18658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00806612058 rounded to 5 decimal places?\nAnswer: -0.00807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3885, 3881, 3875, 3867, 3857, 3845, 3831?\nAnswer: 3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 115*x**2 + 770*x - 5175. Calculate g(121).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 1.749.\nAnswer: -10.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 11*y**2 + 3*y + 1. Give x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0332, 3, -4, 174, -1, 0, -5 in descending order.\nAnswer: 174, 3, 0, -0.0332, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(885\/236)*((-11)\/11)\/(2*71)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 65, 272, 695, 1406, 2477, 3980?\n\"Answer: 12*h**3 - 21*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 11*o**3 + 10*o**3 + 48*o**3 + 3*o**2.\nAnswer: 47*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-382)\/14 - (-6)\/(-21)) + 29 + (-3914)\/133.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-9\/4)*p))\/p*p)\/(((p**5*p)\/p)\/p)*(p\/(p*p\/(p**(-2)\/p)))**(10\/9) assuming p is positive.\nAnswer: p**(-259\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -288, -5.\nAnswer: -288, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 277 - 39. Let y = w - 21. Suppose -26 = -5*s - 1. What is the remainder when y is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 30, 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 3\/17 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 18 = 3*y, -6*y + 2*y - 4*h = 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 - 33756\/(-51) - 2\/(-17). Suppose -5*o + 421 = c - t, c - 3*o - 1040 = 0. List the prime factors of c.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 79. Let s = -6.714 + 6.914. Let m = -1.6 - -2. Which is the third smallest value? (a) -0.1 (b) j (c) s (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 38096.\nAnswer: 190480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(12\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.371293mg in kilograms?\nAnswer: 0.000000371293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*l**3\/6 - 2351*l**2\/6 - 1228*l - 210 = 0.\nAnswer: -6, -35\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -24\/7 (b) -1\/7 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:08 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 215\/(1 + -44)*58\/10\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 224296*c - 10680 wrt c?\nAnswer: 224296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250\/3 - 84. Let p = -10.12 + 0.12. Let m = p - -9.9. Which is the closest to 0? (a) l (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17)\/85)\/(34\/(-5))*(4 + 6). Is s > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1746*n**3*r**5 + 2*n**3*r + 17*n**3 + 2713*n*r**5 - 67*n*r + 97 wrt r?\nAnswer: 34920*n**3*r**3 + 54260*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -1137.\nAnswer: -59124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*k**3 - k**2 + 84*k.\nAnswer: 192*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6 and -131\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292 - 294. What is the thousands digit of (-32)\/8 - (p - 1179)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 32 = 23*x. Solve -x*n + 2*u + 8 = 0, 8*u + 20 = 3*n + 3*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 71*p - 5. Let w be y(1). Let l = 90 - w. What is the greatest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nis when three letters picked without replacement from srirsnsnson?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(98\/(-63))*(-1045)\/(-495)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2033?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7142111039875 and -12.\nAnswer: 7142111039863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1*d**(-1))**(-1\/19)*((d\/d**(-3\/4))\/d)\/(d**(-5)\/d)*d**(-2\/9)\/(d*(d*(d\/d**(-2\/25))\/d)\/d) assuming d is positive.\nAnswer: d**(92257\/17100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 1. Let j(o) = o**2 - 7*o + 4. Let v(i) = -9*c(i) + 2*j(i). Let m be v(2). Solve 0 = -3*r - 3 + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -37*h**2 - 257*h + 9. Let i = -3980 + 3973. Calculate v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18414941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424 + -402. Let p(s) = s**2 - 4*s + 3. Let y be p(5). Factor 8*g**3 + 7*g**3 + q*g**4 - y*g + 6*g**4 - 7*g**3 - 28*g**2.\nAnswer: 4*g*(g - 1)*(g + 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 341325 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 371*i**2\/6 + 20014*i\/3 + 669920\/3.\nAnswer: (i + 79)*(i + 80)*(i + 212)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0594634 times -0.03?\nAnswer: 0.001783902","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Add together 31 and -1255257561.\nAnswer: -1255257530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291303002?\nAnswer: 2, 67, 2173903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 6, j: 4}. What is prob of picking 2 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6504946 nanometers to millimeters.\nAnswer: 0.0000006504946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 - 150 - 8*y**3 + 150 + 14*y**2.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5\/4 - 15*d**4\/2 - 93*d**3\/4 - 33*d**2\/2 + 24*d + 24 = 0?\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 64. Let o = q - 12. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 81*b - 17. Let x = -89 - -92. What is the hundreds digit of i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187325 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**8\/2240 - o**6\/240 + o**4\/12 + 3*o. Let h(g) be the third derivative of d(g). Find the second derivative of h(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48062 + 29996 = 1830*k + 21328 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -21. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 67138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.38, -1, -0.4, -34, -3\/5 in ascending order.\nAnswer: -34, -1, -3\/5, -0.4, 0, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 958424208 to the power of 1\/3, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 23*z + 9 = 0. Let u be (1 + z\/2)\/((-4)\/(-168)). Calculate the highest common factor of 35 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4451a5b (base 12) in base 16?\nAnswer: c711a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 9 in descending order.\nAnswer: 9, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -z + c, 0 = -z - 26*c + 29*c + 631. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 2*b**5 - b**5 + 4*b**5 - b**5 - 4*b**5 + (-2*b + 2*b + 2*b)*(3*b**4 + 0*b**4 - 5*b**4) + 47*b**5 + 108 - 108.\nAnswer: 43*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1675 - -2489. Let n = t - 407. What are the prime factors of n?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*p = 48, 4*p = n + 5*p - 8. List the prime factors of 3075\/n - 3 - (-2)\/6.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/6 + 2*j. Let n(h) = 187 + 2*h - 48 - 156. What is z(n(v))?\nAnswer: -8*v**2 + 136*v - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.26568 years?\nAnswer: 99.18816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*v**2 + 533*v**2 + 806*v**2 - 1860*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 7*a**2 - 7*a - 9. Let g(n) = 2*n**3 + 13*n**2 + 14*n + 17. Let s(x) = 2*g(x) + 5*i(x). Calculate s(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 9. Let m be 0 + -2 + 1 + 8. Let h be t(m). Suppose v - h = 2. Solve 0 = 5*f + v*j + 32, -31 = 4*f - 0*f + 5*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 > 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-693*y - 1417*y - 922*y).\nAnswer: 9096*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 53 + 7 = 4*v + 4*q, 35*v - 4*q = 196 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + 23. Suppose 130*i - 24 = 124*i. What are the prime factors of (r\/i)\/((-12)\/(-48))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391619.49 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(8*x**4 + 36*x**4 + 134*x**4) + (6*x**4 + 0*x**4 + 0*x**4)*(0 + 0 - 1).\nAnswer: 350*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:08 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58781, 117153, 175529, 233909, 292293, 350681?\n\"Answer: 2*i**2 + 58366*i + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {a: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -47562317*c. Let y(u) = -3*u. What is y(t(q))?\nAnswer: 142686951*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1383606 - 4?\nAnswer: 1383602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1313001803447 - 4\nAnswer: -1313001803451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(a + 1 - 1) + (a - 2 + 2)*(-4 - 1 + 3) + 0*a + 2*a + 4*a - 2 + 2 + 2*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - 2*w**5 + 2*w**5 + (-4*w**5 - w**5 + 3*w**5)*(-102 - 3 - 118).\nAnswer: 444*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f + 20 - 16 - 29 - f + 3*f - 3*f + (4 + 1 - 3)*(-2 + 2*f + 2) - 2*f + 11*f + 6*f.\nAnswer: 11*f - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 3. Let t(o) = -8*o**2. What is t(u(r))?\nAnswer: -8*r**2 + 48*r - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1570 and 14096245.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 1171 - 397 = 0. Calculate the smallest common multiple of o and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -12. Let z = 17 - l. Suppose -s - 78 = -z*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342 - 6*o + 172 + 170.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(4 + 242*j**2 - 118*j**2 - 113*j**2).\nAnswer: 11*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/60 + i**4\/24 - i**3\/6 - 6*i**2. Let o(k) = -k - 1. Let m = 2 - 1. Give m*b(x) - o(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/(171\/(-18)) - -5)\/(3\/5). Sort o, -1, 3, 390 in increasing order.\nAnswer: -1, 3, o, 390","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.07 (b) 7203 (c) 0 (d) -0.2 (e) 78 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 + 2*a + 1. Let m(h) be the first derivative of 3*h**3 - 2*h**2 - 2*h - 1. Let k be ((-30)\/4)\/((-15)\/10). Determine k*o(b) + 3*m(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1299, 4\/3, -10, -0.2 in increasing order.\nAnswer: -1299, -10, -0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 6568?\nAnswer: 656b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.4 or 26257?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 18 = -7*p, -4*j + 196 = -3443*p + 3440*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.67, 1\/5, 3, 869, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naarjajnbnrfara. Give prob of sequence njbj.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 - t + 2. Let s be a(0). Suppose -2 = -o - 6, -4*b = -s*o - 84. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.147666 months to decades.\nAnswer: 0.10123055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:39 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 - 143.07. Let y = -0.52 - -0.45. Let g = y - w. Which is bigger: g or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 1. Suppose -4*q + q + 5*r - 282 = 0, -r = 2*q + 175. Let y = q - -88. Let s(u) = -u**3 - u - 1. Give y*g(c) - 2*s(c).\nAnswer: 2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9154086 divided by 1\nAnswer: -9154086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 92*m + 99. Give w(-21).\nAnswer: -1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.113*13\nAnswer: 1.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:41 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/3 + 19*n**2\/2 + 24*n - 34. Let o be m(20). Is 6119 - (-3 - (-12)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(3\/(-18)). Suppose a*k = 7*k + 4*g - 1156, k = g + 297. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -25, -6, 1, -1639 in increasing order.\nAnswer: -1639, -25, -8, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 15. Let j be 1\/(x\/(-15))*-3. Suppose 2*b + 3*z = 102, -3*b + 51 + 102 = -j*z. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1371, 10593, 35523, 84015, 163923, 283101, 449403, 670683?\n\"Answer: 1309*h**3 + 59*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 - 133 = -2*y. What are the prime factors of y?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/56? (a) 3 (b) -1\/4 (c) -1 (d) -3 (e) -30727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -93416, -3 in descending order.\nAnswer: 0.07, -3, -93416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151349200 rounded to the nearest 1000000?\nAnswer: 2151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.89*-4.8.\nAnswer: 345.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-21) + 2 + ((-7650)\/(-315))\/(-85).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10854 and 69306?\nAnswer: 125374554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-9)\/12*4\/12?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -11, -3\/5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/18 + 10)\/4 - (47 - 7).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, -9, -12, 3.\nAnswer: -29, -12, -9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180.08 - 0.08. Let b = 177.46 - j. Round b to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + ((0 + sqrt(1573))*3)**2 + sqrt(1573) + (sqrt(1573) + sqrt(1573)*-2*6)**2 + sqrt(1573) + (6*(sqrt(1573)*5 + sqrt(1573) + -5 - sqrt(1573)))**2.\nAnswer: -19778*sqrt(13) + 1621098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 + 116\/6. Suppose -q = 3*q - b. Suppose -n + 7 = -4*i, 3*n - 4*n - q*i - 20 = 0. Let r(k) = k**3 + 5*k**2 + k + 2. What is r(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 7 = 8. Calculate the remainder when 79 is divided by (k\/(-4))\/((-18)\/(-96)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) - (-4 - (-1852)\/(-16)). Suppose 0 = -g + 6*g - i. Suppose -17*a + g*a - 203 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193400402, -193400410, -193400430, -193400468, -193400530, -193400622?\nAnswer: -193400750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 222?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16310, -13699, -11088, -8477?\n\"Answer: 2611*m - 18921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 9 = 35*k - 87 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -66.\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60291377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5))**(-27)*(d\/((d*d**(-3))\/d))\/d*d\/(d**(-2\/49)\/d) assuming d is positive.\nAnswer: d**(-88\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40752026 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/(g**(1\/16)*g))**(-1\/4) assuming g is positive.\nAnswer: g**(145\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16549390 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/43 + 143\/301. Let x = -47 + 281\/6. What is the smallest value in x, p, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 3, z: 5}. What is prob of sequence buu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/8)\/g)\/((g**(-6\/5)*g)\/g))\/(g\/(g\/(g*g*g**1))*g*g*g\/g**(-3)))**(-2\/7) assuming g is positive.\nAnswer: g**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h**2 - 23859 + h**3 - 4*h**2 + 23853 + 33*h. What is the remainder when 508 is divided by p(14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.326634206 rounded to four dps?\nAnswer: -1.3266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196215*b**2*h**2 - 88*b*h**2 - 4*b + 2*h**2 - 298*h - 2 wrt b.\nAnswer: -392430*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8773*i. Let x(w) = 57*w**2 + 2*w. What is b(x(q))?\nAnswer: 500061*q**2 + 17546*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/2 + u. Let f = 2 - 0. Let r(c) = -c + 4*c - 3*c - c**f. Give r(k(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*d - 60*d = 3709. List the prime factors of d.\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6758?\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 240.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 160*p - 190. Determine s(159).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdudcacdwww. Give prob of sequence wdc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 3121*w - 1 - 3286*w + 10 - 5 - 4.\nAnswer: -2*w**2 - 165*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 + -3 - 0) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttaakaaaaaaaakkaaktt. What is prob of sequence ka?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9696 and 2200689.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*17 + -2. Suppose -g + 6 = -f, -22 = -5*f - 5*g - 2. Let c be (f + 0)*2*-3. Solve -7*k = -c*k + 5*m + 30, 2*m = 5*k + r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 79816.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*q = 26, -2*l - 3*q = -0*q + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 2:36 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1167 - -2371?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 less than -14.92?\nAnswer: -16.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513804, -1027651, -1541498?\nAnswer: -2055345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 252?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(154)\/sqrt(567))\/((sqrt(224) + -5*sqrt(224) + sqrt(224) - sqrt(224))\/sqrt(7)).\nAnswer: sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 603 - 446 = -4*c, 2*c - 4*g - 520 = 0. Calculate the highest common factor of 28 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((-27)\/(-8) + 222\/6 + -22)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 327 and 285 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -15*l**2 - 9*l + 3. Let h(m) = 7*m**2 + 4*m - 1. Let k be 1*-2 + -2 + (-7 - -9). Determine k*u(f) - 5*h(f).\nAnswer: -5*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 133\/70 + 6\/(-4). Let v = 15 - 8. Suppose 0 = v*q - 3*q + 3*f + 2, -5*q - 5*f - 5 = 0. Which is the nearest to s? (a) -2 (b) 2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 368*o**3 + 11160*o**2 - 107632*o - 119164.\nAnswer: 4*(o - 31)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55025 or 55027?\nAnswer: 55027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17190526, -2 in decreasing order.\nAnswer: 5, -2, -17190526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b - 1\/24*b**4 + 0 + b**2 + 0*b**3. Let p(n) = n - 2*n**2 - n. Give u(p(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*n - 325 = 0, 2*o - 406 - 276 = 2*n. What are the prime factors of o?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 49*v + 1619. What is the remainder when t(-11) is divided by 107?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44356 and 28?\nAnswer: 310492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132969, 531773, 1196447, 2126991, 3323405, 4785689?\nAnswer: 6513843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -53. Put -2, 1\/2, k, -0.5 in descending order.\nAnswer: k, 1\/2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 + 749. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0261, -7.255, -12 in descending order.\nAnswer: -0.0261, -7.255, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355832769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 8*g**2 - 3*g - 12. Let l be y(6). What is the greatest common factor of 105 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, h: 2, a: 4, u: 4}. Give prob of sequence hhiu.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1920 and 448?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 - 4?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 4*g + 49 = 0. Let a(i) = i + 2. Let f be a(-4). Let k = g + f. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 341196*b - 2046860. Determine s(6).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**7\/1680 + z**6\/180 - z**5\/240 - z**4\/12 - 14*z**3\/3 + 73*z**2. Let v(q) be the first derivative of m(q). Factor v(w).\nAnswer: (w - 1)*(w + 1)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7182 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2120587990.83478819 + -2120588008. Let m = c - -0.26514481. Let i = 16.9 + m. What is i rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*3\/6*(-979 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 - -0.07. Let t = 33037 - 33036.92. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 142 + 498 = 0. Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -1\/128 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/3, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*c**2 - 86164*a**2 - 659*a*c**2 + 261*a + 3*c**2 wrt a.\nAnswer: 2*c**2 - 172328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Suppose -x*l = -13 - 27. Let m = l + -5. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 23*p**3\/3 - 1489. Let j(h) = -3*h. Give x(j(a)).\nAnswer: 207*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*f**3\/5 + 3354*f**2\/5 - 3596*f\/5 + 96\/5 = 0 for f.\nAnswer: -24, 2\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0 - 2\/3*b**3 + 3*b**2 - 1\/12*b**4 + 0*b. Suppose d + 2 - 7 = 0. Give w(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56065518 and 16947.\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 233164872?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -3*v**7\/70 + v**6\/60 - 113*v**5\/30 - 1245*v**2. What is the third derivative of s(z) wrt z?\nAnswer: -216*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let l be n*(1 - -1 - 1). Let t(z) be the first derivative of -2*z**2 - 4*z - 5. Determine t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*i + 0 + (1 - 2 + 2)*(4*i - 4*i - 2*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 9?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/12 + -2\/3. Let m = 1889 + -1894. Which is the third smallest value? (a) 2\/7 (b) m (c) 0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/4*(-48)\/40 + 8. Suppose 553 = y*t - 152. Is 47 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.059 + 40.941. Let g = 7358856 + -7358896.99973. Let q = g + a. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + l)*(2*l + 4 - 4) + (9*l - 70*l + 29*l)*(0 - 4 + 2)*(-4 + 3 + 0)*(3*l - 7*l + 3*l).\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 2, w: 2, o: 8}. What is prob of sequence owwq?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (0 - (5 + 5) - (-23 + 6 - -8)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + ((sqrt(300) + sqrt(300)*1 + sqrt(300))*4*4 + 1)*-5)**2.\nAnswer: 24000*sqrt(3) + 17280024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.2, 2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-15)\/(-35) - 64\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -65, -79, -99?\n\"Answer: -3*j**2 + j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + 4 + (-5 + sqrt(11)*2 - sqrt(11)) + 1 + 0)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1071 and 595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**3 + 3*q**2 + 591*q. Let m(w) = 2*w**3 + w**2 + 2*w - 1. Determine m(l) - y(l).\nAnswer: -8*l**3 - 2*l**2 - 589*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/8 + 113*o**4\/8 + 406*o**3 + 392*o**2 = 0.\nAnswer: -56, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257*v**5 - 6*v**4 + 5*v**3 - 371723*v?\nAnswer: 5140*v**3 - 72*v**2 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(-2*sqrt(77)*1 + sqrt(77)))\/(((sqrt(1100)*1 + sqrt(1100) - sqrt(1100)) + sqrt(1100))*-6))**2 + -2.\nAnswer: -422\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 4 + 8 - 2 - 2*k**2. Let a = 203 + -203. Suppose -5*j + 5*d - 25 = a, -d + 8 = -7*j + 5*j. What is l(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 - 4 = 0. Let 3*y**4 + 0*y**4 + y**4 - 2*y**4 - g*y**2 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217575\/28 - 7768. Calculate the common denominator of t and -10 + 4444\/840 + 5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*x = -x - 6, -6 = -3*v + x. Suppose v*k - 3 = 3*j, 3*k - 12 = -0*k - 3*j. Suppose k*n = -2*n + 160. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79236752 = 79236753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 - 7*z**3\/2 - z**2\/2 + 7*z\/2.\nAnswer: z*(z - 7)*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 7*o + 7*o**4 + 9 - 7 wrt o?\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531000 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.51 + -21.51. Which is the third smallest value? (a) -4 (b) -31 (c) w (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245 + -32. Let l(o) = -4*o + x + 5*o - 37 + 0*o. Let i(s) = 2*s**2. Calculate l(i(k)).\nAnswer: 2*k**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = 4*q, -14*m - 9 = -5*q - 15*m. Solve 5*u - s = -4*s + 11, q*s + 10 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 21. Let a = -1 - s. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1725238337 to the nearest integer?\nAnswer: 41536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -75*d - 7. Let h = -203 - -209. Let v(n) = -76*n - 7. Let c(u) = h*x(u) - 7*v(u). Differentiate c(j) wrt j.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/35 - 4\/14. Suppose 5*r = 2*q + 27, -3*r + 3*q + y = -r. What is the remainder when 18 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 16*b + 57. Let o be x(-5). Solve 5*h - 2*r + 14 = -14, -o*h - 4*r = -8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**3\/3 + 2*v**2 + 6. Give t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 4725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-3)\/21)\/(45\/240*(-60)\/630).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 3*v**4\/8 - 4*v**3 - 69*v**2\/4 + 315*v - 3658. Factor m(y).\nAnswer: 3*(y - 7)*(y - 6)*(y + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 624339, 1248679, 1873019, 2497359, 3121699, 3746039?\nAnswer: 4370379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 356092?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -0*h. Let s be (1\/h)\/(5\/(-1110)). Suppose -31 = 4*p - s. What is the greatest common factor of 30 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 821 - 810. Let y be (-198)\/f*(-4)\/3. Sort -8, y, 3 in decreasing order.\nAnswer: y, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 5*b**2 - 2*b - 2. Let o be r(1). Solve 2*a + 4*g + 3 + 3 = 0, g = o*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 2*k**3\/3 + 2*k**2 + 3*k - 6. Let z be w(-2). Suppose -2*f - 29 = -z*f. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763693769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*r = -5*t + 296, 4*r = 3*t - 472. Suppose -t*l + 145*l = -357. Let s = -29 - -63. What is the greatest common factor of l and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 5*x + 29 - 54, -4*z = -2*x - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 9. Solve x*a + 4 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*b - 65315 = 13*b + 14638 for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14401 + 12?\nAnswer: -14334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16*t**3 - 2*t**2 + 47 - 46 + 41*t**3. Does 8 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let l be 1 - -1*3\/o. Find the third derivative of 3*z**2 - 2*z**4 + z**4 - 5*z**l wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -89, 13, 4, 10, 5.\nAnswer: -89, -21, 4, 5, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + s = 87, 2*q + 3*s + 2*s = 39. Calculate the greatest common factor of q and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}