diff --git "a/data/dm_maths/full_data/11041_11255.jsonl" "b/data/dm_maths/full_data/11041_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11041_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the units digit of 90525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -5 (c) 3 (d) 74.41003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/((-88)\/44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4990*u + 19 + 7 + 4932*u to m + t*u and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -80. Suppose 7*x = 5*x + m. Let i = 6 + x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-284)\/(-213)*(-3)\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-104)\/(-144) + (-1)\/(-1) and 95\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 269 - 335. Let s = l + 56. Put -1, -3, s, -2 in descending order.\nAnswer: -1, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2491 divided by 151\nAnswer: -2491\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 4. Let n be v(3). Suppose -h + n*h + 1 = 0. Sort 3, h, -4 in ascending order.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 36 = -5*a. Suppose -2*n = -4*s - a, 2*n = -2*n + 3*s + 12. Suppose n*h = 4*g + 2339988, -4*h = -3*g - 2*g - 3119985. Round h to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -141.8 (b) -3\/7 (c) -4 (d) 12 (e) 2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 1\/6, 2, 2\/7, -1, -6\/197?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a + 7. Let o(z) = 5*z - 9. Let k be o(2). Let t(g) = -k + 2*g + g + 3 + 0. Calculate -6*l(i) + 21*t(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2 - 22*u - 121. Is m(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/575*-10)\/(2 + (-204)\/100).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-18))\/(-4))\/((-8)\/(-12))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {t: 2, g: 1, l: 1, h: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1023401?\nAnswer: 1023352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(192))**2 - (1 + sqrt(432))**2) + (-2 + sqrt(300))**2 + 2 + sqrt(1728))*5.\nAnswer: -200*sqrt(3) + 23365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:13 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*l + 16 = 0, 3*h + 3*h = 10*h + 3*l - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 3*m - 17*m - 75*m to the form b + d*m and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1320.3371 - -1328.9. Let u = z - -0.1911. Let j = u + 0.146. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3507 and 418467?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -269 - 6. Are l and -54 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + (-1*2*sqrt(637) - (sqrt(637)*-2 + 2) - ((sqrt(637) + 1)*6 - (sqrt(637) - ((sqrt(637) - 1*sqrt(637)) + 4)))) + -1)*1)**2.\nAnswer: -96564 - 5460*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, 0.6, -59?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from gguguuguguuu?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12527 - 12523. Let i(w) be the second derivative of -14*w + 0*w**r + 2*w**2 + 0*w**3 - 5\/4*w**5 + 0. Find the first derivative of i(p) wrt p.\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + 3 + (2 - -2). Suppose z - 4*n = -i, -3*z + 0*z = 2*n + 127. Is 10 a factor of ((-1)\/(-1))\/((-1)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 4. Let m be c(-3). Let t = m - -18. Let g = -7 - t. Solve g*o - 12 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11181 - 33580\/3. What is the common denominator of -99\/5902 and r?\nAnswer: 17706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5631 (base 12) in base 9?\nAnswer: 14071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let a = 3242 - 3241.5. Put l, 0.03, a in decreasing order.\nAnswer: a, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-498)\/10*33895\/20337.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 3*u + 47, -3*u = 3*f - 33. Suppose -3*z + f = 2*z. What is the second derivative of -t + 3*t + t - z*t + 3*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a second?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/15 + 112*t**3\/15 + 592*t**2\/5 + 5824*t\/15 + 5408\/15.\nAnswer: 2*(t + 2)**2*(t + 26)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 3*h - 12, 3*x = -h + 14. Let m(t) = -4*t + 3*t - x*t + 0*t - 13. Calculate the smallest common multiple of m(-5) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87271 and 3987?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -19. Put 3, r, 4 in decreasing order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308\/(-792) + (-1 - (-7)\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 - -178. Solve 5*a + 12 = 4*v, -2*v - 6*a - p = -5*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 take away 136636525?\nAnswer: -136636537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -53. Solve -h = 2*s + 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.758 and -0.2.\nAnswer: 0.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1125 + 0*w - 1124 + 0*w + 8*w**2 as a*w**2 + u*w + x and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 202 in -658\/9, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574132 is divided by 196742?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1283 in 3, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.6929l to millilitres.\nAnswer: 124692.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 363*b**2 - 1. Let n be k(-2). Suppose -7*z + 2*i = -6*z - n, 0 = -2*z - 5*i + 2902. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-8))\/((-12)\/6072). Let k = -61 + o. Which is bigger: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2833.\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.43 + -0.43. Let g = 758.1 + -758. Let y = -7 + 4. What is the third smallest value in g, n, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3520, 14199, 31988, 56887, 88896?\nAnswer: 128015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + -0.38. Let m = -0.1 - -0.1. Let v = -139.1 + 139. Put v, c, m in descending order.\nAnswer: m, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 3*y)*(-y**3 + 0*y + 0*y)*(0 + 1 + 0).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 51. Suppose 23*l - 97 - 103 = -154. Let t(k) = -k + 25. What is l*x(u) + 5*t(u)?\nAnswer: u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.06 - 8. Let l = 31 - 30.9. Which is the nearest to l? (a) k (b) 2\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {s: 4, g: 1, t: 1, r: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 27 = 4*b, -2*d + 7*d - 3 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b = 69 + 39 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 82*b**3 - 3*b - 7*b.\nAnswer: 82*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25679273.\nAnswer: 127, 241, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412309 is divided by 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11884, -4 in decreasing order.\nAnswer: 1, -4, -11884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2308*c**2 - 1153*c**2 - 1134*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -28. Let s be g\/(-12)*42\/(-4). Let m = -7 + s. Which is smaller: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0*b**4 + 17*b**2 + 0*b - 1\/20*b**5 + 0 + 0*b**3. Let z(j) = j**2. What is q(z(y))?\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/64 and ((-31)\/4 - -7)*194\/(-36).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.2572437 to three dps.\nAnswer: -24.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.462 (b) 10 (c) -46 (d) -4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6029 times -19\nAnswer: 114551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 2*d**5\/65 - 10*d**3\/39 + 8*d\/13 + 40. Find u such that y(u) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*(-9)\/(-3). Suppose 5*k + 37 = w*z - 50, 0 = 2*z + 3*k - 39. Calculate the remainder when 93 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 52912*d**2 - 105836*d - 52920.\nAnswer: 4*(d - 13230)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.07 - 0.07. Let j = 7.242557 - -2.757449. Let n = j - h. Round n to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4213589.\nAnswer: 4213589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l = -173 - 176 - 51 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/135 bigger than -2\/461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-92)\/(-30))\/(28\/(-42)) + -12 - 11.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byt when three letters picked without replacement from tyylylyby?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5301 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 360. Sort -4, c, 1 in decreasing order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 - 12*x + 6. Let r(v) = 2*v - 1. Let k(n) = 6*r(n) + w(n). Let c(d) = 7*d**2. What is c(k(s))?\nAnswer: 343*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 4. Let x = r - -438. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767060 is divided by 16064?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-40))\/((-63)\/14).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3052 + -3042. Let v = 145 - 85. Let f be ((-3)\/(-2))\/(18\/v). Solve -3*i + i - a = -5*d, -f*d = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = x + x - 5*m, 3*x = m - 5. Let s(t) = -t**3 + 5*t**2 - 3. Let n be s(5). What is the closest to -0.1 in n, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/(-2) - (-51)\/5. Suppose -3*q = -0*q - j - 2, -3*j + b = -q. Find the third derivative of 19*a**3 + a**2 - 2*a**q - 4*a**2 wrt a.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 3*m - 56 = 0, -3*m + 22 = k. Let b be (-1)\/2 + 338\/(-4). Let u = 221 - b. What is the greatest common factor of k and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + 10*k - 13. Let o be d(5). Let m = o + 149. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 + 3*u - 4. Does 4 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/56)\/((-1)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 446\/3*(-3)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 1, k: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4461772 is divided by 3305.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.9671 millimeters in nanometers?\nAnswer: 178967100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:24 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 60, 129, 224, 345, 492, 665?\n\"Answer: 13*z**2 + 4*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-8) + (4 - 4). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1 + 2*c**2 + 3 - c**2. Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*y - 90, -43*i + 44*i - 5*y = -18 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.16 + 5. Let o = 0.04 - n. Which is the closest to -3? (a) -0.3 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 + n + 4. Let r be k(-6). What is the units digit of -6 + 19 + (r - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 88.99941. What is q rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2708816 or -5\/14?\nAnswer: 0.2708816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csczcszz. What is prob of picking 1 z and 2 s?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220221221 + 100202?\nAnswer: 221022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let s = 2 + 0. Let h(v) = 0*v + v - 3*v**2 + 4*v**s - 4. Give h(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-4))\/3 + 2. Let p(j) = 2*j - 1. Suppose 0 = -5*r + 5. Calculate the remainder when p(d) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 94*s = -89*s - 22, -4*v - 4*s - 40 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.57 + -0.67. Which is smaller: h or 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 19. Let f be x(11). Suppose t = -0*t + f. What is the remainder when 30 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8 - (-2 - 5 - 9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 9*g + 1. Let p(k) = -k**2 - k - 1. Let j(i) = 4*p(i) + y(i). Let c be j(5). What is the fourth biggest value in 0, c, 3, 1\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 0)\/(1\/30). What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2408 + -2416. Suppose -3*w + 85 = -77. What are the prime factors of (1 + b - -4) + w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162)*-6*4 - ((sqrt(162) - (-5 + sqrt(162) + 0)) + 4)**2) + -3.\nAnswer: -432*sqrt(2) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -63. Suppose 2*i - 3*d + 946 = 2*d, 3*d = 6. Let f = -144 - i. Calculate the greatest common divisor of x and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p**3 - 8*p**2 + 17*p + 14. Let b(c) = -4*c**3 + 3*c**2 - 6*c - 5. Determine 8*b(d) + 3*v(d).\nAnswer: 4*d**3 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100571\/7 - -14369. Let x = -35 + 34.96. Put g, 4, 1\/5, x in ascending order.\nAnswer: x, 1\/5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = -176*l - 616 - 4706 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(2 - 30\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 2*z**2 - z**2)*(13*z - 3*z**2 - 13*z) - 35*z**4 + 66*z**4 - 44*z**4 - 7*z**2 + 2*z**4 + 7*z**2 + (-2 - 3 + 3)*(2 - z**4 - 2) - 1 + 1 - 2*z**4.\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*2510.\nAnswer: -3765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*w - 44609, -16*r = 2*w - 12*r - 22312. Suppose -w = 9*t - 19*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 62. What is the highest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -174\/13 (b) -3 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*s**2 - 4*s - 9*s**2 - 36*s**3 - 9*s**2 + 209 - 6*s**3 wrt s?\nAnswer: -126*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8004\/33 - 6\/11.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00203984 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35666423 is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.3, -0.1, -17\/134, 1, 3\/5, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5 - 5. Let v be i\/8*2*0. Let f = -1.8 - 1.2. Put f, -2\/7, v in descending order.\nAnswer: v, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*v + 22262 - 11708 + 16884 + 7030 = 0 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**4 - g**3 - 2*g + 2. Let o(v) = -9*v**4 + 190*v**3 - 9*v**2 + 2*v - 6. Let m(u) = 3*a(u) + o(u). What is the third derivative of m(p) wrt p?\nAnswer: -72*p + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 1. Let f be (-5)\/(8 - 3) + 5. Suppose -2*t + 3*p + f = 10, -p = -5*t - 28. Let w(z) = z**3 + 6*z**2 - z + 8. What is t*r(g) - w(g)?\nAnswer: -g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1289, -1216, -1117, -980, -793?\n\"Answer: 2*w**3 + w**2 + 56*w - 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 8, u: 4, b: 2, n: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (1\/(-4))\/(6\/(-264)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-89)\/5)\/(44\/550 + (-6)\/(-50)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 15*a - 712 = -18*a. Solve 0 = -10*f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1173370.9084 - 1172795. Let m = j - 576. Round m to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by 175?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19\/9 (b) -2\/5 (c) -8710\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wama when four letters picked without replacement from bawaeaewwmeeeww?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -295 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(1 - 4 + 1)*(w**3 - w**3 + 2*w**4 + (-w + 0*w + 3*w)*(1 - 1 - 2*w**3) + w**4 - 3*w**4 + w**4 - 5*w**4 + 4*w**4 + 3*w**4).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 + 4 - 3*x**2 + 5*x - 3*x**2. Suppose -11 - 9 = -4*g. Let t be h(g). Solve -o - 3*r - 6 = -6*o, 2*o = -t*r - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168*s + 3062 = -8618 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-11) - 27)\/(-3 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -14*g + 52 + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6098*j + 12295 + 22249 + 38632 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 42, 121, 272, 519, 886, 1397, 2076?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 22\/2449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -975*t. Let a(z) = 650*z + 2. Calculate a(c(u)).\nAnswer: -633750*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Suppose x - 26 = -3*x - 5*l, -2*l - 4 = -2*x. Let o(r) = 4*r + r - 7*r + x*r. Give o(f(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 - 5381*f**2 - 6449567 wrt f.\nAnswer: 8*f**3 - 10762*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*z - 56. Let j = 58 + z. Suppose -3*d + 4*x + 44 + j = 0, 2*d = 4*x + 54. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -42 + 40. Let p = -7 - -6.8. What is the third biggest value in -0.3, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(1100) + 1))**2*-5 - ((sqrt(1100) + 0 + 4)*6*-4)**2.\nAnswer: -648321 - 46180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2813 or -2364?\nAnswer: -2364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1903 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -221.3, -3451?\nAnswer: -221.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(4\/13)\/((u\/(u**(1\/2)\/u)*u)\/u**3)*u**(1\/4)*u*u\/(u*u*u*u**(-3))*(u**1\/u)**(-26) assuming u is positive.\nAnswer: u**(151\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 343046 rounded to the nearest one thousand?\nAnswer: 343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/36 - l**3\/9 - l**2\/6 - 2*l + 35. Determine k so that u(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*y + q + 83 = 74*y, -4*q = 4*y - 380. Which is the second smallest value? (a) -14 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121d5 (base 15) to base 8.\nAnswer: -160710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7865085mg to nanograms.\nAnswer: 786508.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 34. Let c(b) = -b**3 + b**2 + b + 10. Let y be c(0). Let j = 15 - y. Put -8, o, j in descending order.\nAnswer: j, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3377.\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -71. Let y(i) = 12*i**3 - i**2 - 4*i + 3. Calculate the remainder when y(n) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194005, -388009, -582013, -776017, -970021?\nAnswer: -1164025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, z: 2, o: 3, n: 3, r: 2, j: 1}. What is prob of picking 1 r, 1 m, and 1 o?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 2*23\/76 and -121\/6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.609748 - 21.61. What is t rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8162 + -5?\nAnswer: -8167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucpccuuccupcupuu. Give prob of picking 1 p, 2 u, and 1 c.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 620177 at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6493a (base 11) to base 10.\nAnswer: 94302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219515 = -5*m - 5*i, 2*m - 6*m + 5*i - 175585 = 0. Round m to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16 = -b. Let a = -8278 - -8282. Find the second derivative of n + 28*n**a + 5*n - n**b wrt n.\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 100 (b) -1234 (c) -4\/7 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {v: 2, p: 2, l: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2340 - 0?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 6 (c) 6\/5 (d) -422\/5 (e) 0.3 (f) 1\/9 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 23*r + 18. Let a(b) = 42*b + 33. Let y(p) = -6*a(p) + 11*z(p). Let v(k) = 1 + 16*k**2 - 1. What is y(v(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 424*k - 2538. Let g be m(6). Sort 1, g, 11, 5, 3 in decreasing order.\nAnswer: 11, g, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -0.1. Let h = 0.9 - m. Let o = -0.5 + -0.5. Which is the second biggest value? (a) o (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: How many minutes are there between 4:41 PM and 10:13 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(1700))*2 - ((sqrt(2448) + 1)**2 + sqrt(136)\/((sqrt(392) - sqrt(8)) + sqrt(8) + sqrt(8))).\nAnswer: -2442 - 33*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - d + 4. Let y be m(0). Suppose 0 = -3*j - n, 5*j - n + 2 = 10. Let k = j + -6. Sort 1, y, k in increasing order.\nAnswer: k, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -7*d**6\/6 - 14*d**3\/3 + 20. Find the third derivative of h(m) wrt m.\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3*s**2 - 3*s - 5. Let a be z(-3). Let g be ((-10)\/6)\/(2\/(-6)). Sort g, a, 2 in ascending order.\nAnswer: 2, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:18 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose -3*m + 6 + 0 = x. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2.02 (b) -3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*t = 84, -71 - 111 = 5*g + 2*t. Let a(y) = -6*y + 19. Let d be a(5). Let u = d - g. Solve 0 = -5*j + 2 - u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k + 20*k + 15 + 2*k**2 - 17*k + 68*k**3 + 26*k - 9*k as r*k**3 + p + l*k**2 + x*k and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = f + 4*o + 1, -51 = -4*f - o. Suppose f*g = 11*g + 6. Calculate the remainder when 58 is divided by (g\/(-15))\/(3\/(-225)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30819072 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 39 = -15. Let u(d) be the third derivative of 0 + 1\/12*d**w - 3*d**2 + 0*d + 1\/60*d**5 - 1\/2*d**3. Find a, given that u(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435157 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/5 + 2*d**3 + 2*d**2\/5 - 2*d.\nAnswer: -2*d*(d - 5)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -42*g**5 + 2553*g**4 + 3159*g**3 + 192*g**2 - 372*g = 0.\nAnswer: -1, -1\/2, 0, 2\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2000*p**3 - 260*p**2 + 260*p + 260. Let v(r) = 23*r**3 + 3*r**2 - 3*r - 3. Give 6*h(o) + 520*v(o).\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.34 + 0.06. Let f = -14 - -11. Which is the biggest value? (a) f (b) h (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 18*h + 27. Let q be u(12). Suppose -y + 4*y = q. Let s be 3 - -1 - 121\/y. Which is the closest to s? (a) 0 (b) -3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 380 and 872.\nAnswer: 82840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 50*t**2 + t. Let c(n) = 10*n**2 - 15*n**2 + 6*n**2. Calculate c(v(r)).\nAnswer: 2500*r**4 + 100*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19040 and 2464?\nAnswer: 209440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1805 - -50.88399\nAnswer: 1855.88399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/2 - 3*k**2 - 23*k. What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l + 792. Calculate s(-73).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -58*w - 581. Calculate o(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12406260 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5468136 is divided by 758.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o**5 + 129*o**4 + 138*o**3 - 516*o**2 - 120*o = 0. What is o?\nAnswer: -2, -2\/9, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708127 is divided by 29967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -82. Suppose 9*m = j*m - 18. Suppose -m*y + 8*y - 8895 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442365289317 + -3\nAnswer: 442365289314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:10 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6095.9 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-112)\/12))\/((1854\/72)\/(-103)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 146ad0 - 9?\nAnswer: 146ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84691118 to the power of 1\/2, to the nearest integer?\nAnswer: 9203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q + 3*h - 6, 4*q + h - 2 = 0. Let f(i) = -4*i + 4*i + q*i - 25*i**2. Let b(r) be the first derivative of 2*r**3\/3 - 6479. Calculate f(b(d)).\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(3 - 2))\/1. Let t = a - 52. Let b = t - -28. Solve -q = 2*q - b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*u - 3)*(23 - 1 + 24) - 2*u + 10*u - 2*u - 1 + 1 - u.\nAnswer: -87*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 19. List the prime factors of g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*o - 29. Suppose 2*c = o*v - 42, 3*v + 2*c = -2*c + 35. Let j = v - -30. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272 + 478. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10284, -20986, -31688?\n\"Answer: -10702*b + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsp when three letters picked without replacement from zbzpsups.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**3 - 27*d**2 + 13*d + 2. Is q(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -28. Suppose -4*m = 3*n - n, 2*n = -3*m. Solve o + 5*i - 1 - 1 = m, -l = 5*o - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/319824 and 85\/13326.\nAnswer: 319824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -26, 43, 0.1, -0.1 in descending order.\nAnswer: 43, 0.1, -0.1, -26, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 220495926 a multiple of 2113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 435900 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eggggeg. Give prob of picking 2 e and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + 8*u + 6. Let d(c) = 9*c**2 + 17*c + 11. Let m(j) = 6*d(j) - 13*h(j). Factor m(w).\nAnswer: 2*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*t + 295 + 185 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41\/99 - -1\/33. Let z = 112 + -110. Let g be (z\/21)\/2*(-18)\/(-3). Which is the closest to g? (a) y (b) -4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18258, -18261, -18264, -18267, -18270?\nAnswer: -18273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-3) + (-8)\/(-12). Suppose -3*y - 18 = -0*p - 3*p, -2*y - p = -3. Let w = -1 - y. Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13076857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (2 - 2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Let o = -1 + b. Is 6 a factor of (-231)\/14*o\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640761541 to the nearest integer?\nAnswer: 40506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 108176637547.\nAnswer: -108176637548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5 + 7437*k**4 - 456935*k**3 - 237765*k**2 + 456937*k + 230328 = 0?\nAnswer: -1, -1\/2, 1, 63, 3656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-4*u + 2*u + 3*u) + 0 + 0 + u + 4*u - 2*u + 0*u - 5*u + 3*u + 3*u + 0*u - 4*u + 0*u)*(70 + 101 - 5) to n + b*u and give b.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -2 + -4 + -3)**2 + 2 + -5*6*(sqrt(275) - (-1 + sqrt(275))*2)**2.\nAnswer: -8012 + 510*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175897 is divided by 1599.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 558 - 551. Which is bigger: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1293, -2327, -3107, -3639, -3929, -3983, -3807, -3407?\nAnswer: -2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 114 (b) 1\/4 (c) -48 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - 9*a + 7*a)*(2*a + 0*a - 3*a)*(-2*a**3 + 4*a**2 - 4*a**2).\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -222116*z**2 + z - 1125375?\nAnswer: -444232*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.66?\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 249637307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1 (c) -1\/4 (d) 301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 5*t - 19669, 0 = -2*t + 3*n + 7861. List the prime factors of t.\nAnswer: 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 1, 20, 69, 160?\n\"Answer: 2*t**3 - 3*t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 5\/3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 456679.45 to the nearest one hundred.\nAnswer: 456700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -203358.33?\nAnswer: -203358.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10904*x + 10861*x - 2537 = 0 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -728.63 + 732. Let w = p - 3.36999688. Round w to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/460)\/(48\/(-5) + 10). Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232216470?\nAnswer: 2, 5, 11, 23, 80209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87730 and 1736.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43441333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/(209\/(-22) - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3669 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5645594 - 6946*g + 2367*g - 5645594 to the form w + a*g and give a.\nAnswer: -4579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325251, -325253, -325255, -325257, -325259?\nAnswer: -325261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2) + 12 + -1. Let r = -10 + z. Solve -6 = 2*b - m + 2*m, -4*b = -r*m + 36 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2. Let q(n) = n + 18. Let o be q(-11). Let g(b) = -o*b - 6 + 5 + 1. Calculate g(y(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9 - 39*w**2 + 32*w**2 + 9. Let q(u) = 4*u. What is q(f(l))?\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175279 and 569972?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*x + 10, -b - 3*x = 3 - 6. Let r = 308 - 299. Let y be (1 + (-3)\/r)\/(-7). Sort -5, b, y in ascending order.\nAnswer: -5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 163834*g**2 + 163833*g**2 + 3.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -199964 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 544\/(-1664) + 3\/39\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-19))**(-32) assuming p is positive.\nAnswer: p**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (226 - 55*w**2 - 226 + (-23 + 23 - 13*w)*(2*w + w - 4*w))*(-3 - 4 - 9)*(-2 - 2 + 2) as g*w + m + a*w**2 and give a.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 1300 + 1299 + 8*m**2 - 3891 + 1291. Let h = -2 - -3. What is y(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from cccfccffccfcfc.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30852, -61659, -92466, -123273, -154080?\nAnswer: -184887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17393 is divided by 4116?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -13. Let s = 10 - a. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from axjqxxxu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 253*a + 0 - 1\/6*a**3 + 0*a**2. Let m(d) = 379*d**2. Determine t(m(x)).\nAnswer: -379*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -526 and 616.9.\nAnswer: 90.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36 - -1.6\nAnswer: 37.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22*k**2 + 35*k. Let l(m) = 15*m**2 - 23*m. Let u = -40 + 48. Let h(j) = u*l(j) + 5*d(j). Find the second derivative of h(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 7. Let z(t) = -3*t**2 - 33*t - 38. Let n be z(-10). What is c(n)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*t + 0 + 1 = 0, 3*t = 4*f - 24. Suppose 59 - 155 = -f*n. What is the smallest common multiple of n and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-3\/4)*z))\/z*z*z*(z\/((z*z\/(z*z**(2\/3)))\/z)*z)\/z*z)\/(z**1*z)**(-1\/4))**11 assuming z is positive.\nAnswer: z**(517\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12873624150 rounded to the nearest 100000?\nAnswer: -12873600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqwqqwwwqg. Give prob of sequence qwwg.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -71, -73, -75?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(15)\/sqrt(3) + 1 - (-6*(sqrt(5) + 0) + (sqrt(5) - sqrt(80)*-6))**2.\nAnswer: -1806 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 2336 in descending order.\nAnswer: 2336, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*d**2*q*u**3 + 16*d**2*q - 2056*d**2 - 12*d*q*u**3 + 2*q*u**3 - 4*q*u**2 + u wrt u.\nAnswer: -1110*d**2*q - 72*d*q + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8*42.23\nAnswer: 337.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 118701 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: -1670 divided by 835\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3292, -6573, -9854, -13135?\n\"Answer: -3281*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 0*v = -18*v - 2183 + 3793 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 12.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6636 and -85\/4424.\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r - 11. Let s be d(8). Suppose 0 = -2*n - 3*z + s, z - 15 = 4*z. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -798137999 minus 486448?\nAnswer: -798624447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 3. Let f(h) = -5 + 0 - 3 - 3*h. Let q(u) = 3*f(u) + 8*o(u). Let k(a) = -3*a**2. Give k(q(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + c. Suppose 0 = j - 1 - 0. Let x be z(j). Suppose 0 = -x*t + 5*t + 170000. Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 100*h - 716. Let k(r) = 183*r - 1433. Give 6*k(a) - 11*m(a).\nAnswer: -2*a - 722","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 21*q**2 + 2*q + 531. Let j be l(-22). Let p(g) be the first derivative of -5\/2*g**2 + g + 1\/3*g**j - 8. Give p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13265 + -165033907.\nAnswer: -165047172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10656 divided by 444?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 + 8*o**2 + 8*o. Let m(g) = -10*g**3 - 17*g**2 - 17*g. Determine 6*m(h) + 13*w(h).\nAnswer: 5*h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 10:33 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6 - 50. Suppose 0 - o = -7*q. Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 725 + -611. Calculate the lowest common multiple of y and 133.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62283 - 43204. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39134207 is divided by 971?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.261 - -1.609. Let z = g - -2.13. Which is the second smallest value? (a) z (b) -7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.5979595 and 1.\nAnswer: 10.5979595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -9)*12\/(-8). Calculate the highest common divisor of 42 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17575749 or -17575743?\nAnswer: -17575743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.136.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.022? (a) -0.41 (b) 2 (c) 4 (d) -0.5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 9)*(32*x - 65*x - 1 + 35*x)*(-21 - 7*x + 7 + 9) as c*x**2 + q*x + d and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 3575.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(390)*-1 + sqrt(390) + sqrt(390)))\/sqrt(10))\/(-1*-1*sqrt(3) - 2*sqrt(75)).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93163739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 i when four letters picked without replacement from uiuruuuuuuuuur?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = 88. Suppose -y - d = y. Let t be y\/(-5) - 10\/25. Solve t*n - 26 = -0*h - 2*h, 2*h = n + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**2*o**2 - 11*f**2*o - 532*f**2 + o**2 wrt o?\nAnswer: -14*f**2*o - 11*f**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 5*m)*((-m + m - 3*m)*(-3*m**2 - 2*m**2 + 3*m**2) + 4*m**2 + m**3 - 4*m**2).\nAnswer: 42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 914.2982 kilograms in tonnes?\nAnswer: 0.9142982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4967.\nAnswer: 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 132292383949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, -19.27 in decreasing order.\nAnswer: -1\/2, -5, -19.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 5*u + 2. Let k be (2 - 1) + (-12)\/(-4). Let p be t(k). Let j = 43.5 + -43.6. Put -1\/2, j, p in ascending order.\nAnswer: p, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -682 - 10?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -687745 by 11.\nAnswer: -687745\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let n be y(6). Let r = n + 4. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650543 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.061, -8, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 860*r - 130 wrt r?\nAnswer: 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435952 is divided by 3343.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(14) - -1*-3*sqrt(14)))\/(2*sqrt(800)) + 2.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 318456*o**2 - 6342208740*o + 152029634400.\nAnswer: -4*(o - 39795)**2*(o - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536995 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1.8, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3)*(-z - 2*z + 5*z) - 2225*z + 3*z - 1509*z - 373*z + 624*z in the form r + j*z and give j.\nAnswer: -3478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3213*l**2 + 8*l. Let m(s) = 11*s. Determine m(o(f)).\nAnswer: 35343*f**2 + 88*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (126\/245)\/((-4)\/45). Let w = y - -11\/2. What is the closest to 2 in 0, w, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(304)) - (0 + 1 + sqrt(1539)).\nAnswer: -29*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d. Let l be i(4). Differentiate 3*u + 7 - l*u - 4*u + 0*u with respect to u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0*q - 4*q)*(0 + 2 - 1) + (7*q - 14*q + 3*q)*(-4 + 3 + 7) as n*q + u and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 1:53 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 + 21107 + (-1 + 11)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 3, m: 4, i: 4, w: 2}. What is prob of sequence giww?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 969*q - 148*q**2 + 1 - 969*q.\nAnswer: -148*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 1, x: 2, i: 8, u: 2}. What is prob of sequence uec?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2 from -11324690.27165.\nAnswer: -11324689.07165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 115602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 154 - 134 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-200)\/(-10) - -9*(-8)\/12. Solve -24 + 94 = b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*s - 3*h - 2, 0 = 4*h + 4. Let c = 2 - s. Let d(f) = 5*f - 1. Calculate the remainder when d(2) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) -100 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 29*q + 18. What is f(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + (38\/76 - 10\/(-12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l + 4. Let k be g(4). Let j = -3.59799 + -0.40201. Which is the nearest to k? (a) 2\/7 (b) -3 (c) -0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - ((1 - -17) + (93 - 93))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -1\/3, -5, -24, -8, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47870 by -32.\nAnswer: 23935\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + 1*sqrt(700)*5*-1 + -4 + 3))**2.\nAnswer: -300*sqrt(7) + 17509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -125, -146, -131, -68, 55, 250, 529?\n\"Answer: 2*b**3 - 59*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 330. Let g = -203 - -208. Suppose -g*t + 2*w + u = 0, -4*t = -6*t - 2*w + 80. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u. Suppose 0 = -6*s + 10*s - 8. Let g(m) = 52*m + 8*m**2 + 23*m**s - 52*m. Calculate h(g(c)).\nAnswer: 124*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -15. Which is smaller: o or -15\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 3*d. Let r(v) = v + 7. Let a be r(-8). Let k(q) = -q**2 - q. Calculate a*g(z) - 3*k(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -26. Suppose -4*m + 2*d = -m + a, m + 8 = 2*d. Does 2 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 25 = -5*z, 5*z - 10 = z + a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 1541703.\nAnswer: 126419646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**2 - 3*f - 2 + 2 + f as t*f + j*f**2 + m and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.28 - -16.28. Put -7, x, 5, 0.5 in ascending order.\nAnswer: -7, x, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g + 4*j - 23 = 0, 3*g - j = 4. Let o(a) = 47 - a + 3*a**g - 2*a**3 - 5*a**3 + 3*a**3 - a**2. What is the units digit of o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4144 - -819. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 s when three letters picked without replacement from zokzkossesoeezzsk?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 104, 166, 228, 290?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13625 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 32 = -26 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/452 and -25\/58.\nAnswer: 13108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/15 - 908*y**2\/15 + 25088*y\/3 - 4763584\/15.\nAnswer: 2*(y - 196)**2*(y - 62)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-one thirds of a day?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 4*t + 100, 135*g + 84*t = 81*t + 612 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916 + 11*q**3 - 918 - 8*q + 53*q.\nAnswer: 11*q**3 + 45*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 9. Let b(l) = 4*l - 4. Let p(x) = -9*b(x) + 4*w(x). Let k(y) be the first derivative of -1\/2*y**2 + 7 + 0*y. Determine k(p(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(21\/4)*(-249)\/(-332)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0535 + 99.4535. Let m = 99 - q. What is the nearest to 0.1 in m, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 85*t - 162. Let u be w(2). Solve 15 = -u*c + 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -22*a + 21*a, a - 7 = 5*q. Let d = 21\/5 + -761\/180. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733 at most as big as 9733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -7*o - 3*s - 49, 76*o - 79*o - 3*s + 48 = 150 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3 - 0. Let k(p) = p**3 + p**2 - 6*p. Let o be k(y). Suppose o = 5*i - i - 2*g - 1014, -4 = 4*g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/51537 and -46\/123.\nAnswer: 51537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/5 + 2*y**4\/3 + 10*y**3\/3 - 12*y**2 + 189*y + 1. Factor r(b).\nAnswer: -4*(b - 3)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 + 1 = 2*u, -u - 4*s + 9 = 0. Let a(o) = 6*o**2 + 7*o + 2 - 18*o + 8*o. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5709935\/422 greater than -13530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (3 + -4)*-4. Suppose q*c = 4*c - 16. Calculate the lowest common multiple of c and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1344.998681 + -1345. What is u rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*s = 2*u - 2, 0 = -u + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = -19*b + 48*b - 105 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24093 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20446571*v**5 + 16901737*v**2 - 2 wrt v?\nAnswer: -1226794260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.49 + 2.41. Round p to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 878710*t**2*w**3 + 4*t*w**3 - 3*t - 3*w**2 - 1624*w wrt t.\nAnswer: 1757420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-56))\/((-2)\/28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*n - 5 + 58 = 0, 5*n - 65 = -5*t. Calculate the least common multiple of 76 and t.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9183019213 - 9183019132.99999977. Let n = l - 80. What is n rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idoodi. Give prob of picking 1 i, 1 o, and 2 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 4*v - 186. Determine w(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 49 - -4 - (-934 + 1015)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:41 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 14*d**2 + 14*d - 12. Let x(a) = a + 16. Let q be x(5). Let l be (9 - -3)*(q\/12 - 3). Let h be n(l). Solve -4*k = -h - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-498)\/(-4)*(2 + 0)\/(-102) and -83\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15960 and 43092.\nAnswer: 430920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1004*h**4 - 34*h - 23 wrt h?\nAnswer: -12048*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.57 - 4.863. Let z = -0.35 + m. Round z to two dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-1) + (-5)\/5. Let i = -16 + 19. Suppose -5*p = i*y - 75, -4*y = p + y - 15. Solve 0*c = z*c - p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.222 + 254.278. Let s = -255 + c. What is the nearest to 0.2 in -3\/7, 0.2, s, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65628 and 23013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 3. Let q be p(-2). Let n(j) = -j**2 - 5*j + 4. Let k be n(q). Suppose -8*y + 32 = -k*y - 3*f, 5*f + 10 = -2*y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/376524 and 41\/10.\nAnswer: 1882620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 153448*q**2\/3.\nAnswer: 2*q**2*(q + 76724)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 609.9569kg?\nAnswer: 609956900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*b + 7 = 0, -3 = -4*u + 2*b - b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4 - 10\/(-2)) + -5358. Let n = 7732 + p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772968310 + -2190?\nAnswer: -1772970500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:07 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2 + -1 + sqrt(117))**2 + (-1 + sqrt(117))*-2 - ((sqrt(117) + 2)*-4 - (-2 + -1*sqrt(117))).\nAnswer: 15*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 19670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 11*v + 23. Let y be l(13). Let a be (6\/99)\/(3\/(6 - y)). Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/13))**(-45) assuming x is positive.\nAnswer: x**(-540\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 244845 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**3 - 4244535*r + 53055128 wrt r.\nAnswer: -12*r**2 - 4244535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1238015 (base 11) to base 14.\nAnswer: -3dcc66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683710?\nAnswer: 2, 5, 68371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 + w**2 - 6*w + 6. Calculate d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1410*p + 1. Let j(n) = -5*n - 22. Let h(x) = -141*x - 627. Let l(u) = -2*h(u) + 57*j(u). What is l(a(i))?\nAnswer: -4230*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zge when three letters picked without replacement from memgzpm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1928, 0, -1 in ascending order.\nAnswer: -1, 0, 2, 1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-8 - (5 - 15))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663644061 to the power of 1\/2, to the nearest integer?\nAnswer: 25761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26100 (base 9) in base 15?\nAnswer: 531c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x - 2*x + 0*x)*(2 - 2 - 2) + 7*x + 10*x - 35*x + 1 + 3*x - 1 as v + p*x and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*k**3 + 5*k**3 + 60*k**3 - 28*k**3 + 35*k**3.\nAnswer: 169*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e8a (base 15) to base 12.\nAnswer: -7911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*y**3 + 118*y**3 + 111*y**3)*(-1 + 5 + 5*y - 6) as o*y**2 + r*y**4 + n*y**3 + v*y + w and give n.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 25*f**2 + f + 20. Let g(m) = 36*m**2 + m + 29. Calculate -5*g(k) + 7*v(k).\nAnswer: -5*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/13 - 25112*z**2\/13 - 1135742*z\/13 + 20816852\/13 = 0?\nAnswer: -59, 14, 12601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-4) + -46 + 46?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/5 + (-4)\/10. Calculate the highest common divisor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -596 - -647. What is the smallest value in -5\/3, i, -0.1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-18)\/30) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(22)\/sqrt(2))**2 + (4*sqrt(33))\/sqrt(3) + (6*-2*(2*sqrt(396) + sqrt(396)))**2.\nAnswer: 4*sqrt(11) + 513224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6*a + 384. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1595.23 + -1596. Sort -1, j, -0.06 in descending order.\nAnswer: -0.06, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-327)\/(-2) + 2\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 253080*c**2 - 1012268*c + 759192.\nAnswer: -4*(c - 63266)*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3159\/1404*23\/((-207)\/204)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (0 - -1) + -3. Let u = 0.95 - -0.05. Let k = u + -1. What is the closest to -1\/6 in x, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l*z**2 - 2393*l - 6*z**4 + 3*z**3 wrt z?\nAnswer: -2*l*z - 24*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in years?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38537, 77056, 115575, 154094, 192613, 231132?\nAnswer: 269651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.00000007 + 20. What is p rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 - 0 - ((289 - 281) + -1 + 0) - -4.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-3))\/2 + 2. Suppose 98 = -10*p + 118. Which is the third biggest value? (a) w (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 7*l - 9. Let q be b(-6). Let i(r) = r**3 + 2*r**2 - 3*r + 2. Let o be i(q). Calculate the least common multiple of (5 + -4)\/(o\/4) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3782 - 1468. What are the prime factors of m?\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.52013 and 0.2486?\nAnswer: -0.129304318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248541520 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 17*j - 34. Let d be q(-14). Let n(f) = f**3 - 7*f**2 - 6*f - 7. Let s be n(d). Which is the nearest to 0.1? (a) -0.2 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6025 + -5869. Calculate the smallest common multiple of 663 and x.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 95*n**2 + 626*n + 43. Calculate f(6).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/13 - 6814*v**2\/13 - 5800416*v\/13 + 5807232\/13 = 0.\nAnswer: -1704, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34740.38l in millilitres?\nAnswer: 34740380","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from pdypppdyyyp?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-21) + (-9912)\/26019. Let k = -35.7 - -38. Let h = k + -2. Which is the second biggest value? (a) h (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 194247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -t - 15. Suppose 2*n + n = -2*s + 63, -3*n + t = 5*s. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 7.79?\nAnswer: -0.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101916230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*c = 398*c - 738 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 divided by -772?\nAnswer: -379\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 28*f**2 + 3*f + 3. Let o be 123\/6*-8 - 11. Let b(x) = -1625*x**2 - 175*x - 175. Determine o*d(q) - 3*b(q).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 33240*t.\nAnswer: -5*t*(t + 6648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48317846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 17*g + 13. Let v(m) = -m**2 + 16*m - 12. Let l(b) = 6*v(b) + 5*x(b). Is l(6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10734 or -10733?\nAnswer: -10733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 53 = 2*f - 7*f, -3*j + 3*f + 57 = 0. Suppose -5*q - 24 = 2*r, -q + j = -2*q - 5*r. Let l = q + 60. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 486484562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-16 - -19 - 31) + 24 - -11) + -122\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (-1*sqrt(98))**2 + sqrt(98))*6.\nAnswer: 84*sqrt(2) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 88. Suppose j = 4*t + 3*j - 24, d*t = 2*j + 4. Solve -35 = -7*b + 4*b - 4*h, -h = t*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 6*a**2 - 7*a**2 + 1. Let u be w(1). Let b(p) = p**3 + 11*p**2 - p - 3. Let y be b(u). Let t(g) = g**3 - 9*g**2 + 8*g + 2. Give t(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:34 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-34 - (-1 + 2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(448) + sqrt(448) + -2 - (-4 + sqrt(112)*1) - (5 + (-4 + sqrt(700) + 0 - sqrt(700)) + -5))**2.\nAnswer: -48*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1231, 183, -861, -1901, -2937?\n\"Answer: 2*m**2 - 1054*m + 2283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*k - 18, 7 - 2 = -5*v - 3*k. Suppose -i = -v, m + 3*i = 4*m - 15. Suppose b - 20 = -b. Calculate the least common multiple of b and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 3*j - 3*j)*(-2098 - 2124 + 4259 - 4*j)*(2*j - j + j + (-1 + 1 - 2*j)*(-3 + 2 - 1) - 2 - 2*j + 2) as t*j + k + y*j**2 + w*j**3 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 999 and 10.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(2\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/9 - (-1 - -3). Let r = 1.178 + -5.178. What is the third biggest value in h, 0, -4\/3, r?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -36 + 46. Let w(n) = 6*n**c - 3*n - 11*n**3 + 8*n**3 - 5*n + 11 + 5*n**3. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59262, 59263, 59264?\nAnswer: 59265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84676433, -84676422, -84676411?\nAnswer: -84676400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/24 + -5\/8. Is 3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 9. Suppose -5*i - 2*o - 4447 = -0*i, -5*i + 5*o = 4440. Is i\/(-14) - t\/(-2) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 31 = 3*b, -4*r - 18 = 5*b + 12. Let f be (-1)\/(-2)*b + 31. Suppose 0*t - f = -5*t + 5*n, 0 = -t + 5*n - 14. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153808\/538377 - -2\/76911. Which is the smallest value? (a) -1 (b) -270 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 120845200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 71*p + 575. Give k(-7).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(20\/1410). Let r = 85 + g. Suppose 0 = -k - 3, -c + 8*k + 29 = 3*k. Calculate the remainder when r is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2692 divided by -4?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-16)\/((-32)\/(-2)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 4*c - 18. Let z be j(-3). Suppose 6*h - 268 = 5*h + z*d, 0 = -5*d - 15. List the prime factors of h.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (6 - (-3 + 1)) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32*m**3 - 2*m**2 - 8*m + 2. Let b(d) = -31*d**3 + 3*d**2 + 10*d - 3. Let n(y) = 3*a(y) + 2*b(y). What is the second derivative of n(h) wrt h?\nAnswer: 204*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 divided by -4?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 298963*s**3 - 284373 with respect to s.\nAnswer: 896889*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2 less than -0.03528?\nAnswer: -11.23528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3332 + 0.0668. What is the nearest to -5 in -3\/5, z, -1\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 67. Let y(a) = -a**5 - 5*a**4 - 3*a**3 + 9*a**2 + a - 1. Let k(t) = -t**3 + t**2 + t - 1. Let z(q) = i*k(q) - 2*y(q). Factor z(d).\nAnswer: 2*d**2*(d - 1)*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41189 + -25633. Put 5, b, 0 in descending order.\nAnswer: b, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 13*n - 1 + 0.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 x, and 1 e when four letters picked without replacement from jejeeeeehhxehu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 9*q - 12. Let c be j(-10). Is 29 a factor of ((-1)\/c)\/(2\/348)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((296\/16)\/((-18)\/36))\/4?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + ((-4)\/(-8) - (-12)\/8). Solve n*i + 10 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108463*b**2 + 82689?\nAnswer: -216926*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -157, -2, 0, 7 in descending order.\nAnswer: 7, 3, 0, -2, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5\/8 + 1983*c**4 - 7935*c**3\/4 - 1983*c**2 + 15867*c\/8 = 0.\nAnswer: -5289, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.999694ml in litres?\nAnswer: 0.002999694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.92 - -0.08. Let g = -4 + 2. Let k = -3.2 + 3.1. Which is the second smallest value? (a) v (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537990?\nAnswer: 2, 5, 7, 13, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1945 - 1935. What is the least common multiple of c and 2\/(-6) - (-74)\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 21*g**2 - 18*g + 30. Let m be n(20). Let l = m - 74. Let o(u) = -u + 5. Let r be o(5). Are r and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 228010.\nAnswer: 1596070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l - 5 + 7*l - 3*l + 5*l**2 wrt l?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2108247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022041600305 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26304 - 108696. Round k to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*w - 24*w + c + 25, 8*c - 24 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-614)\/(-1535) + (-3)\/3 + (-59)\/(-90)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a9 - 10542a?\nAnswer: -105517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:45 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 33233322?\nAnswer: -33233325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5629 (base 14) in base 16?\nAnswer: -3a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*y + 2 + 1)*(218 - 92 + 147).\nAnswer: 819*y - 546","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 1789309 = 11*h + 122308. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 30 = -5*r, 0*i - 10 = -i - 5*r. Suppose 7*c = -2*c + 2628. Suppose -63 = -i*k + c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - 62*t - 3*t**4 - t**3 + 10*t**2 + 32*t + 29*t + 4 as x + f*t**4 + k*t**2 + w*t + i*t**3 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3120034400 + 0?\nAnswer: -3120034400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -171, 2, 5, 4, 32 in increasing order.\nAnswer: -171, -8, -1, 2, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2615816556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12039 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -223 + 64?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 3, -4, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30532.15 to the nearest ten.\nAnswer: 30530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17991.55 minutes?\nAnswer: 1079493000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*c - 7. Let s = -2 - c. Let n = 1 + -3. What is the third smallest value in n, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68.14 + -4.86. Let f = -187.565 + 114.574. Let z = m - f. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from qofboxww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unguggg. Give prob of sequence nggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166759?\nAnswer: 37, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 166. Which is the biggest value? (a) 0 (b) d (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + 4. Calculate the highest common factor of 38 and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*((t\/(t**(-3)*t)*t*t)\/t)\/t*t)\/t*t**(1\/4)*(t*t\/(t*t**(1\/4)))**31)\/((t**0)**(20\/9))**(-1\/80) assuming t is positive.\nAnswer: t**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-37\/5)\/(k*k**(-8)*k) assuming k is positive.\nAnswer: k**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 629 - -6412. List the prime factors of l.\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 1 - -11) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**2 + 6*j - 13. Let i(x) = 3*x**2 + 2*x - 4. Let s(o) = -2*f(o) + 7*i(o). Let a be 3*1*8\/12. Calculate s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0) + -5 + 14. Suppose -2*a - v = -4*x - 3*a, a = 2*x - 3. Find the second derivative of 43*w**2 - 43*w**x + 5*w - 2*w**3 - 6*w**3 wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**8\/1008 + 527*t**7\/126 - 579041*t**6\/120 + 192721*t**5\/20 + 11*t**2 - 7*t + 17. Let r(w) = 0. Calculate w.\nAnswer: 0, 1, 1317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32536 + 32585. What is the remainder when 2591 is divided by k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -491 - -496. Solve 2 = o - g - 3*g, -2*g = i*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = s, -s - 4*y + 6 = -6*s. Which is smaller: s or -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 84 = -7*m. Let y(j) = 3*j - 14. What is y(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617570 divided by -261757?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 + 14. Suppose 4*s = 4*m + 108, 3*s - m - 83 = 4*m. Calculate the remainder when s is divided by i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 = -3. Suppose -5*p - o*a = -3*a - 2, 0 = -2*p + 2*a + 8. Suppose p = -5*u + 21. Solve 0*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l + 14*l = 0. Suppose 12*w - 2 - 82 = l. Let j = -0.2 - -0.4. Put w, 0, j in increasing order.\nAnswer: 0, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7078 + 7160. Which is smaller: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -24. Let j be (81\/(-36))\/((-6)\/(-400)). Let q = x - j. Sort 7, 1, q in increasing order.\nAnswer: 1, 7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -2\/15, -4, 130, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 11*i**2 - 2*i**3 + 13*i**2 + 1 - 2 as k*i**2 + r + d*i**3 + f*i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2. Let u(b) = 12*b + 6. Let i(p) be the second derivative of -13*p**3\/6 - 7*p**2\/2 + 2*p. Let q(w) = 6*i(w) + 7*u(w). Give r(q(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6215, -12503, -18839, -25223, -31655, -38135?\n\"Answer: -24*r**2 - 6216*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 21*w + 1. Let p(t) = 343*t**2 - 87*t - 6. Determine -p(b) - 4*r(b).\nAnswer: -347*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1231535 and 6095.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429245383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + 41000331?\nAnswer: 41000312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50382 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 + 196*k**2\/9 + 752*k\/9.\nAnswer: 2*k*(k + 4)*(k + 94)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*w**3 + 68198*w**2 - w - 14087724.\nAnswer: 75*w**2 + 136396*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*(20 + -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5)*(-3 - 6)*(-10)\/(-45). Let u = -8 - -3. Which is the nearest to 1? (a) u (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*h = 9, -5*h - 1 = 4*x - 18. Suppose 0 = -x*m - 0*m + 24. List the prime factors of ((-27)\/3)\/((-6)\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p**2 + 0*p)*(2*p + 0*p - 3*p) + p**3 - 2*p**3 - 15*p**3 + 3*p**2 + (3*p - 2*p - 4*p)*(-3*p**2 + p**2 + 0*p**2).\nAnswer: -8*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b + 64. Let q be 11 + b\/(-4) + -1. What is the units digit of (q\/3 - 1)*49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -124*g + 3. Let n(h) = h + 7747. Determine n(w(b)).\nAnswer: -124*b + 7750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26657 + -17305. Suppose s - 2119 = k. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 1 - 21 + 9 = -4*u - 11 - 5, 3*u + 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Suppose -4*q + 4 = -3*q, 0 = -x - q. Let o(t) = t. Calculate x*r(n) + 10*o(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (3 - 11)) + (-151 - -12 - -17).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -3\/4 (c) 4 (d) -0.04 (e) 167\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/(-266))\/((-804)\/41272).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*p - 48*p + 2390736 + 6268746. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 3*c + 2*c)*(0*c - 14*c**2 + c + 2 + 12*c**2 + (-2 + 2 + c)*(-1629 + 549*c + 1629)) as d*c**2 + q*c + p*c**3 + j and give p.\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5915 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1106 and -19\/503562748.\nAnswer: 3524939236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:03 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 72*o**2 + o + 58. Let q(i) = 146*i**2 + 2*i + 116. Let h(b) = -4*q(b) + 7*r(b). What is the derivative of h(d) wrt d?\nAnswer: -160*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035843 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q + 297 = 32*q - 239 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -5*r**4\/24 - 11*r**3\/3 + 29*r**2. Let k be h(-5). Which is the closest to k? (a) 4 (b) -3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by (-73)\/(-15) - 54\/(-405).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w = 69*w - 275. Solve -w*f = -11*f - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2)\/sqrt(3) + (sqrt(26) + 2*sqrt(26))*1)\/((-2*sqrt(22)*1)\/sqrt(11)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5035142797 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6484.\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (209\/6 + (-24)\/(-16))*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1543*z**3 - z**2 + 161134*z?\nAnswer: 9258*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48853952 to the power of 1\/2, to the nearest integer?\nAnswer: 6990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*b**3*c + 87*b**3*z**2 + 3*b**2*c*z**2 + 987*b**2*z**2 + 15*c wrt b?\nAnswer: 732*c + 522*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.306 less than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -56*l**2 - 59*l**2 + 127*l**2. Let c(h) = -121*h**2 + 346*h**2 - 117*h**2 - 115*h**2. Calculate m(c(k)).\nAnswer: 588*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 2)*(-4*y**2 - y**3 + 4*y**2) + 3 + 2*y**3 - 3)*(-y**2 - 2*y**2 + 0*y**2).\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -652, -654, -656, -658?\n\"Answer: -2*n - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -141*u - 50. Let d be q(-12). Suppose j - d = 649. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 38479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056861 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 10\/2 - -17. Let c be (-21)\/o + -1 - 16\/(-4). Let l = 7 - 4. Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by 19\nAnswer: 107\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1431 + 399. Suppose 0 = 4*w - 4*a + 6*a - 2438, 3*w = -a + b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4295 - -4298. Let o = 10 + 6. Let g = o - 12. Which is the nearest to -0.1? (a) g (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from mmommmmoppomp?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-25))\/((-90)\/(-4)))\/(-28*(-3)\/126).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -154*d - 763. Let f be k(-5). Which is the nearest to f? (a) 1.1 (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 589.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1552224213 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18*w**3 + 11*w**2 - 7. Let q(g) = -9*g**3 - 6*g**2 + 4. Let d be ((-912)\/(-80) + -7)\/((-4)\/(-10)). Give d*q(z) + 6*b(z).\nAnswer: 9*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 432*o + 1609*o - 20*o in the form y*o + a and give y.\nAnswer: 2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 122*i**2 + 67*i - 28. Let o(w) = -w**3 + 66*w**2 - 36*w + 14. Determine 6*m(a) + 11*o(a).\nAnswer: a**3 - 6*a**2 + 6*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76\/123 + 2\/41. Which is the third biggest value? (a) 13 (b) 0.1 (c) k (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 15*r + 108. Let y be v(-5). Solve -3*g = -2*c - 6, -3*g - 5*c + y = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 2*d**6\/45 - 3*d**5\/5 + 7*d**4\/3 - 38*d**3\/9 + 4*d**2 + 239*d - 2. Suppose r(y) = 0. Calculate y.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - 39\/(-12). Let g be 44\/10 + ((-35)\/25 - -2). What is w in -3*w**2 + 4*w**x + 3*w**2 + 4*w**2 - 4*w + 1 - g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 76c?\nAnswer: 76d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1676 divide 1392931980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 506841311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 24*d**3 + 4*d**2 + 4. Let u(h) = 47*h**3 + 9*h**2 + 9. Give -4*u(n) + 9*w(n).\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19630256 - 5.7\nAnswer: -19630261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.409 * -32\nAnswer: 13.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/6)\/1)\/((-6)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2168\/9, -5, 5, 1\/6, 0.1 in descending order.\nAnswer: 5, 1\/6, 0.1, -5, -2168\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 + 8*i. Let o be h(-8). Factor 1\/2*s + 1\/2*s**2 + o.\nAnswer: s*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-13)*14 + (-21 - -13) + 5 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*i*x + 1399*f**4*x + 9*f**2*i*x + 3*i*x - i - 2*x wrt f?\nAnswer: -24*f*i*x + 33576*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1656 and 19261.\nAnswer: 31896216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-25*11\/110?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/2804 - 95363\/25236. Let w = h - -11\/3. Let n = 0.05 + -2.05. What is the second smallest value in 0.1, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -6. Suppose 0 = u + 3*u - 8, 5*u - 10 = 4*r. Suppose r = -a - j, 0 = 4*a + 2*j - 3*j - 25. Sort p, a, -4.\nAnswer: -4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*s**2 + 2 + 14*s**4 - 1 + 12*s**2 - 25*s**2 + 2*s**3 as b*s + d + o*s**4 + a*s**3 + y*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixi when four letters picked without replacement from xtxiiiixxxiit.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose -2*s + x = 4*g + 8, 4*g = -3*s - 5. Let n be (-6)\/3 + 2 + g. Which is the nearest to -1? (a) -5 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + o = -11, -23*y + 5*o = -25*y - 3. Sort 400, y, -2 in descending order.\nAnswer: 400, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 109094*f + 654573\/2.\nAnswer: -(f - 3)*(f + 218191)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-2)*((-20406)\/855 + 25)*-4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -2)\/((-2)\/(-7)). Let x(h) = 4*h**2 - 6*h + 2. Let d(c) = -c**2 + c. Let q(l) = -3*d(l) - x(l). Let z be q(w). What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 31 + 1 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffuyfyfulyuffvvu. Give prob of picking 3 u and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -2\/7, 2\/7, 0, 0.2, -5, -146?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -147, -379, -729, -1209?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -82 (b) 5 (c) 2704 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 2*g**3\/3 - 1. Let b(q) be the first derivative of 13*q**3\/3 - 480. Determine b(z(l)).\nAnswer: 52*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*j - 2*n - 3*n, 3*j = -5*n + 95. Let l = 461 - 270. Let i = 215 - l. Calculate the remainder when j is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.2403674 less than -16847?\nAnswer: -17838.2403674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 402, 47, -308?\n\"Answer: -355*w + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = -v, 5*v - 60 + 20 = 2*b. Let d be (3\/v)\/1*-352. Round d to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 3*q - 3. What are the prime factors of l(6)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 6, l: 4}. What is prob of picking 3 c and 1 g?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 249431 = a, -w + a + 21385 = -28506. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -69, -0.1, 2\/7, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from {u: 1, x: 1, p: 1, w: 1, a: 2, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 6*v**2 - 11*v - 6.\nAnswer: -(v + 1)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(5\/5)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11327 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, t: 7}. What is prob of picking 1 j and 2 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s + 5*b + 4765 = 0, -2*b + 1898 = 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627*z - 684*z = -23999850. What is z rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 5*n + 5. Let k(q) be the second derivative of -q**4\/6 + 2*q**3\/3 - 2*q**2 + 2*q. What is 4*h(z) + 5*k(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**4*v)\/v*v)\/((v**(1\/2)*v)\/v))**(2\/79)*(v\/(v*v**(4\/5)))\/(v*v**(3\/5))*v**(-1\/2)\/(v\/(v**(-5)*v)) assuming v is positive.\nAnswer: v**(-6151\/790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*t - 1036*t - 345*t + 232*t - 1788*t to the form x*t + u and give x.\nAnswer: -3158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -167, -155, -139, -119?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*x = -17, 5*x + 5 + 7 = -3*g. Let o(k) = 14*k - 6. Let q be o(g). Solve -t - 3*t + q = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-18072)\/12 - 6)*1\/3*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:11 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose 2*j + 981 = 3*u, -u + 3*u - 3*j - 649 = d. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/18*((2 - 2) + -20). Solve r = 4*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 28. Suppose u + 5*l - k - 10 = 0, u - 5*l = 19. Suppose -5*m + 97 = 5*a + 17, 4*a = 4*m + 64. Calculate the highest common factor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98307 and 6017?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 0*i - 8*i)*(-2 + 1 - 1).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 6*a**2 - 3*a - 4. Let l be (2 - 3 - (-1 - 1)) + -4. What is the hundreds digit of w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/(-10)*50\/15. Suppose -3*n - m + 43 = 0. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 89*v**2\/6 + 1012*v\/3 + 968\/3.\nAnswer: (v + 1)*(v + 44)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 34*v - 7*v - 2*v**2.\nAnswer: -2*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 33*d + 282. Calculate v(21).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 52 - 676*s**2 + 1367*s**2 - 851 - 690*s**2.\nAnswer: s**2 - 648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n + 1. Let b(g) = -7 + 9*g - 4 + 10 + 3*g. Calculate -3*b(w) - 4*z(w).\nAnswer: 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -108. Let y(v) = -v**3 - 2*v**2. Let c(i) = -3*i**3 - 9*i**2. Give r*c(k) + 9*y(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.43 + 1.357. Let v = r - 3.027. Let k = 3 + v. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 20*l + 48. Give q(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 8 = 3*u. Suppose u*t + 2 = 3*t. Let o be 0*(t + 6\/(-4)). What is the second smallest value in 0.4, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppjp when four letters picked without replacement from {p: 4, j: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2de - -217aea?\nAnswer: 217dc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 18 - 14, -2*v - 4*p = -16. Suppose 46 + 34 = -v*h. Which is smaller: -19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2.5, 2558, -0.3.\nAnswer: -0.3, 2.5, 27, 2558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10))**48*(r\/(r\/(r*r\/(r*r\/r**(-25)))))\/r*r**(2\/3) assuming r is positive.\nAnswer: r**(-1516\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = q - 5, -3*q - 5 = -x - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37898003 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*a + 28. Let l be (-3 + 14\/a)*(0 + 0). Let c(r) = 7*r + 188. What is the hundreds digit of c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = 16. Let a be (-102)\/(-27) + i\/(-18). What is the first derivative of 5 + 0 - 3 - s**a wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3\/7 + 39075496*a**2\/7 - 117226495*a\/7 + 78150998\/7 = 0.\nAnswer: -39075499, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/(r*r\/r**(-1\/13)) assuming r is positive.\nAnswer: r**(-67\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/83)*g)**22*(g**(-10\/7)\/g)\/(g*g*g\/(g**12*g)))**(-2\/41) assuming g is positive.\nAnswer: g**(-33746\/23821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6)*2)\/sqrt(3).\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(3\/2)*v)\/v)\/(v\/v**1)*(v*v**(-3\/8))\/v**(-4))\/(v\/(v**(1\/4)*v)*(v**0*v)\/v*v*v\/(v*v**(-1)\/v)*v*v\/(v\/v**4)*v) assuming v is positive.\nAnswer: v**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by (3 - 10\/(-4))\/(1\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + -3*(sqrt(228)*-2 + sqrt(228)) - sqrt(228)) - 1*sqrt(228)*6)\/(sqrt(12) + sqrt(192)\/sqrt(4) + -6*sqrt(48)\/sqrt(4)) + 4.\nAnswer: 4 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 + 305. Let f(r) = 4*r - 3. Let k(g) = -12*g + 21. Let a(t) = 6*f(t) + k(t). Let x(d) = 132*d + 32. What is v*a(w) - 3*x(w)?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 153.86 millilitres?\nAnswer: 0.15386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.01\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - (sqrt(1700) + 2*sqrt(1700) + sqrt(1700)))**2*5 + -2*sqrt(17) + 0 + 3 + -3.\nAnswer: -2*sqrt(17) + 517140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b - 0. Suppose 0*n = -b*n. Suppose 3*s + n - 6 = 0. Solve -4*g + s + 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/16)*(-5)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 664345093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0218749526 rounded to 5 dps?\nAnswer: -0.02187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -4, 0.5, 0.1, -21463.91?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30625 is divided by 9800?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54140 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772870131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-5 - (-3)\/3). Let x(w) = -1 + w + b*w**2 + w + 0*w**2. Suppose 10*r = -172 + 152. What is x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 127, 263, 449?\n\"Answer: 25*f**2 + 11*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0 + (0 - 1 + 0)*(-4 + 0 + 1))*(-1584 - 25*p + 1584 + 646*p) in the form q*p + i and give q.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -45650000 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.09\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*x = 336*x + 15. Let o(c) = c**3 + 2*c**2 - 17*c - 6. Let u be o(x). Let b be 9\/2*(1 + 1). Solve -4*f - 6*v - u = -2*v, b = 3*f - 3*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 2, w: 6, l: 3}. Give prob of sequence lww.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/276 and 44\/75.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14435*v = -14439*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -83*r**2 - 2*r - 48 + 50 + 64*r**2. Let l(f) = 893*f**2 + 95*f - 95. Give -95*a(v) - 2*l(v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4361490 by -147.\nAnswer: 29670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 11. Let j(c) = -c**2 - 7*c + 10. Let i be j(-9). Let o be b(i). Put 1, o, 2 in ascending order.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-63))\/(265\/371)*-675.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 50. Suppose -q - 2*q = -m. Solve -r + 6*r = -q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (3*sqrt(132) + sqrt(132) - sqrt(132))*-5)\/sqrt(12) + -1*(3 + -1 + sqrt(11))**2.\nAnswer: -15 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/15*(-9)\/(-3). Calculate the common denominator of (-519)\/(-54) - (b - -1) and (-2915)\/450 - (-2)\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93010426*k + 7029786?\nAnswer: -93010426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/60 and -58\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28\/15*z**3 - 104\/15*z**2 - 2\/15*z**4 - 44\/5*z - 18\/5 = 0.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + 24 - (-2 + -1) - (-63 - -41)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 64 - 6 + 2*y + 39. Is n(-24) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) 5\/4 (c) 3727 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)\/h)\/h**4*h**(-3\/14))\/(h**34\/h**(2\/29)) assuming h is positive.\nAnswer: h**(-7845\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 11*y - 30. What is r(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhqmchr. Give prob of picking 2 r and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*m**2 - 952410*b**3*m - 14*b**3 + b**2*m**2 + b**2*m + 25397*b**2 + 4*b*m**2 + 111*b wrt b?\nAnswer: -24*m**2 - 5714460*m - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttsttwtttt. Give prob of sequence tws.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 + 2*t + 18. Let d be x(8). Let p = -154 + d. List the prime factors of (p\/(-9))\/((-1)\/(-6)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29021 + 29018. What is the nearest to 0.2 in 39\/16, r, -4?\nAnswer: 39\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 64068584?\nAnswer: 64068576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 10*i. Let l = 10 - -2. Solve i*o - l = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 2. Let k be l(-4). Find the third derivative of -k*f**5 - f**2 - 21*f**2 + 6*f**5 wrt f.\nAnswer: -960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/13)*y*y*y**(-2\/11))\/(y\/(y*y**(-19)*y*y)*y\/(y**(1\/17)*y)*y) assuming y is positive.\nAnswer: y**(-40317\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341\/20801 - 18900\/(-610).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 11*g**2 + 19. Let x(o) = 5*o. Give r(x(c)).\nAnswer: 110*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826119343 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**4 - 40685*y**3 + 5*y**2 + 75222 wrt y.\nAnswer: 24*y - 244110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -69*v**6\/20 - 15*v**5\/4 + v**2 + 61. Find the third derivative of m(d) wrt d.\nAnswer: -2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18179 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + (-40 + 21 - -31).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = 946*a - 931*a. Calculate the remainder when a is divided by 2\/3 + 92\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(1\/9)\/l*l)\/l))\/l**(-1\/4))**(-14) assuming l is positive.\nAnswer: l**(-287\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + c = -3*t - 65, c + 91 = 7*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 20024c8?\nAnswer: 20024c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 36 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-98)\/(2\/2*-2). Suppose -z = -5*f + 4*i, 4*f + 2*i - 35 = -1. What is the smallest common multiple of f and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/51766 and 87\/270776.\nAnswer: 3520088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*c - 0*c + 12, 4*c = 5*h - 38. What is the least common multiple of h and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -1231 in descending order.\nAnswer: 6, -5, -1231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5.99 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b - 21. Let k = 6 - 19. Let t(x) = -5*x - 10. Let w(o) = k*t(o) + 6*a(o). Give w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027399144 rounded to 7 dps?\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000001000 + -100110010100?\nAnswer: 111001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/160 and 49\/1776?\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:58 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85257, 85395, 85541, 85701, 85881?\nAnswer: 86087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-856)\/(4\/(-1) + 3). Let s = -549 + r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/123308 and -119\/20.\nAnswer: 616540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4648, 4693, 4764, 4861, 4984, 5133?\n\"Answer: 13*w**2 + 6*w + 4629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) - 10\/35. Suppose 2*i + 78 = 2*u, -5*u + 3*i + j*i = -191. Suppose x = -o + u, o + x = -3*o + 154. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -15. Suppose -5*t + 12 = -4*b, -4*b - 2*t - 5 - r = 0. Let j be (90\/(-12))\/(b\/628). Round j to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 40*l - 43*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - b**3 + 0*b**3)*(0 + 0 + 1 + (-6 + 0 + 1)*(2 - 4 + 0) - 2 + 2 - 2 + 2 + 3 - 1).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6\/7, 4, 1 in ascending order.\nAnswer: -4, -6\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 5807. Let h(m) = 9*m. Calculate j(h(q)).\nAnswer: -9*q - 5807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3\/3 - 25*g**2\/2 - 80*g - 4759. Give u(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 12, 66, 156, 288, 468, 702?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1603650 divided by 320730\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03524744281 + -387?\nAnswer: -386.96475255719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 78*u - 1493. Give s(-33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48023588 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 9*h + 12. Calculate q(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g - 4*s - 75, 0 = s. Let c be (g + 21)*2\/26. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*g - 17. Let j be (-288)\/(-27) - 1\/(-3). Is g != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 10*j + 15. Let b(a) = a**3 - 3*a**2 - 26*a - 3. Let u be b(-4). Calculate z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*m + 54624 = 86*m - 37*m. What is the remainder when m is divided by 243?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3966960.\nAnswer: -3966960, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 4*x = 1678, 5*d = -2*x + 1666. Suppose d = l + 24. Is 21\/14 - l\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 748 and 3564?\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -30. Suppose -w*d + 9*d = -425. Solve 4*h - f + d = 0, 0*h - 2*f = h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12 = -3*n, 0*n + 4 = -5*a - n. Suppose 5*h + 3*b - 320 = a, 0*b - 315 = -5*h - 4*b. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*q + 4*q**4 + 5*q - 7*q - 29*q**4 + 6 wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**4 - a**2 + a. Let d(r) = -10*r**4 + 133*r**3 - 6*r**2 + 6*r - 191. Let j(v) = -d(v) + 6*s(v). Differentiate j(f) wrt f.\nAnswer: -8*f**3 - 399*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 47*i**4\/4 - 152*i**3\/3 - 93*i**2 - 3*i. Differentiate p(r) wrt r.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-5.0798736\nAnswer: 2.03194944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209.3 - -201. Let f = t + 8. Suppose 2*y - 5 = -5*p, 3*y - 2*y - 3 = -2*p. Which is the second biggest value? (a) f (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 9*v**2 + 7*v + 11. Let g be t(-8). Let u = 336 + 15. Suppose g*o = 16*o + u. Calculate the remainder when o is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 19879 = 185*x - 21*x for x.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -10*f**5\/17 - 87916*f**4\/17 + 123258*f**3\/17 + 1371484*f**2\/17 - 1969568*f\/17 + 562752\/17 = 0.\nAnswer: -8793, -4, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23891377057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 11 = x. Suppose 3*h - 7*h + c + 36 = 0, -x*h = 2*c - 45. Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -356, -825, -1482, -2327?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1571 - 16?\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 307.8131km?\nAnswer: 30781310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -t + 17, 2*z - 7 = -2*t + 3*t for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:46 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 1 - (3 + sqrt(11) + sqrt(33)\/sqrt(3)).\nAnswer: -2 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z**2 + 7*z**2 + 3*z**3)*(1 + 2 - 1) + 3*z**3 - 5*z**3 + z**3 + (z - z**2 - z)*(-2*z + 0*z + 4*z) as x + v*z + p*z**3 + g*z**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-28))\/(896\/(-2352)))\/(((-21)\/(-9))\/(-7))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415920, 415927, 415944, 415977, 416032?\nAnswer: 416115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 99*h + 102. Let x be j(-34). Let s be -9 + 14 - (x + (-46)\/(-10)). Factor -3\/5*f**2 - s*f - 1\/5*f**3 + 0.\nAnswer: -f*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - 3*o**2 - o - 54. Let r(n) = 7*n**3 - 7*n**2 - 2*n - 112. Give -13*j(d) + 6*r(d).\nAnswer: 3*d**3 - 3*d**2 + d + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 8. Suppose 4*t + 56 = 16. Let s be 214*(t\/z + -2). What is s rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -179.2973330012 and 66?\nAnswer: 245.2973330012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37992 divided by 9498?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -39. Suppose f*j = 3*j + 30. Suppose -9*u = -4*u - j. Solve 4 = -2*p - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77996 - 4*x + 77996.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2885 = -6*z + 2*x, 4*z = 3*x + 2315. Suppose 15 = -5*c, -5*m + 124 = -0*m - 3*c. What is the greatest common divisor of m and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = 4*d - d, d = -5*h + 14. Suppose -2*i - 8 = -4*z - 5*i, -z + d*i + 21 = 0. Suppose 0 = -67*o + 62*o + z. Solve 0 = -3*j + o + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 11010 = w - 3*a, 0 = 5*a. Does 217 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.6 + -7. Let b = 1 + -3. Sort b, 0, q in ascending order.\nAnswer: b, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007?\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -1296650.2.\nAnswer: -1296650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = -0. Let v = 19 + -1. Suppose -3*q + 0*q = -v. What is the least common multiple of z and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or -0.05?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = 13. Suppose 68 = 5*b + h*u, 0*b - 2*b + u = -22. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o*o\/o**(-2))**(-5\/6) assuming o is positive.\nAnswer: o**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 3*k**3 + 0*k**3)*(2 - k - 2) + (9*k**2 - 34*k**2 - 5*k**2)*(k**2 - 3*k**2 + k**2).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcwbccwc. What is prob of sequence ccc?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 + 195 + 71 - 499 = 20*t for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 125*g**2 + 10 - 37 + 11 + 8.\nAnswer: -125*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000456774 rounded to 6 dps?\nAnswer: -0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.03331mm?\nAnswer: 0.00000303331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/180 and 103\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15510 by 6.\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(2\/9))*k*k**27*k)\/(k*k*k**(4\/21)*k*k**(1\/21)) assuming k is positive.\nAnswer: k**(1609\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3806.6 and -61?\nAnswer: -232202.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -89713705 rounded to the nearest one million?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**3 - 5*l**2. Suppose 2*u = 2*o - 4*o + 58, 2*u = 3*o - 62. Suppose o = -32*k + 29*k. Let c(q) = -14*q**3 + 14*q**2. What is k*h(j) - 3*c(j)?\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 10*v**2 + 10*v + 10*v.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 4) to base 15\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {q: 2, a: 5, n: 3, s: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 44. Suppose -f - b = 23. Let z = 168 + f. Calculate the highest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/8 (b) 0.22 (c) 0.2 (d) -218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 89*i**2 + 307*i - 4223. Give s(86).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -175, -1, 17.\nAnswer: -175, -62, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2363 - 2434 = 187*c + 2683 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 959593 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010 - 1?\nAnswer: -10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -0.3. Let o = -1732 + 3387\/2. Let b = o - -40. What is the second smallest value in 3, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9712, 9731, 9754, 9781, 9812?\nAnswer: 9847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 9*x. Let p(k) = -k**2 - 2*k. Let n(m) = 2*f(m) + 9*p(m). Let o(z) = -z. Let l(a) = 5*a. Let u(i) = l(i) + 2*o(i). Determine u(n(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 11:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -479*z - 8692. Determine l(-18).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -823091, -823094, -823097, -823100, -823103, -823106?\n\"Answer: -3*y - 823088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 32*t. Suppose -5*v - 5 + 20 = t. Which is the closest to 1? (a) -5 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n + 183. Let w be u(20). Solve -w*s + 48 = 51 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 98, 289, 556?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5 - 957*p**4 + 14110*p**3 + 892122*p**2 - 1822751*p + 917475 = 0.\nAnswer: -25, 1, 39, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 12, 276*l - 81 = 8*o + 273*l for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3360, 3367, 3352, 3303, 3208, 3055, 2832?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 20. Give t(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:45 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-70))\/(((-35)\/(25025\/(-44)))\/((-20)\/130))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 1. Calculate the least common multiple of 2*((-42)\/4)\/(-3) and (66\/55)\/(n\/15).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -41*t**4\/12 - 17*t**3\/3 + t**2 + 38. Differentiate d(o) wrt o.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 15. Let t be (-4)\/(-18) - 3*(-4205490)\/405. Suppose 0 = -d*k + 444848 + t. What is k rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2 - 707636*v + 3538130 = 0.\nAnswer: 5, 353813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 827064 and 1023984?\nAnswer: 21503664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 6*p**2 - 4*p - 3. Let i(h) = 2*h**2 + 2. Let t be i(-3). Suppose -42 = -w + t. Calculate the remainder when w is divided by y(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (688\/96)\/(-43)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285 - -678. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2330254*a**2 - a - 50502.\nAnswer: 4660508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*m**2 - m - 66*m**2 + 2*m in the form n*m**2 + v*m + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 1\/3*g**3 + 1\/12*g**4 - 4*g + 0*g**2 + 0. Let a(d) = 2*d + 3. Let h be a(-3). Calculate r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*r + 9 = 5*r, -5*l + 21 = 2*r. Solve -l*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 139616581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -n, -n - 13 = -3*h - 2*h. Suppose -h*f = 6*f - 7632. Is 1*4\/(-16) + f\/8 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 9589656\nAnswer: -7\/799138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010010001100101 (base 2) to base 13.\nAnswer: 60a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(847) + 2)*-4 + -5 + -5*(sqrt(7) - sqrt(63)))*-3)**2.\nAnswer: 7956*sqrt(7) + 74348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 + 7*n - 4*n + 17*n**2 + 13*n - 32*n**2 - 16*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(1820\/(-42))\/(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/95*(4 + 54\/(-15))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328.525062 + 328.56. Let s = -0.135 - -0.1. Let y = s + g. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 2*o + 2*o. Suppose 19 = x - o. Let p = x - 35. What is the smallest common multiple of 4 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*k - 1380*k + 393*k + 324*k + 334*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y\/y**7*y)\/y))*y*y*y\/(((y*y*y**(-1\/4)*y)\/y)\/y*y*y)*y)\/(y**1*(y**(-1\/4)*y)\/y)*((y**1\/y)\/y)**43*(y*(y**1\/y)\/y)**21 assuming y is positive.\nAnswer: y**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -228, -204, -154, -72, 48, 212, 426?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 115 = 41. Sort -1, 3, 4, 6, o in increasing order.\nAnswer: o, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35881 is divided by 11754?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 - 5917\/20. Let f(v) be the second derivative of 1\/42*v**7 + 1\/10*v**6 + 0*v**2 + 0*v**3 + 0 + v + 1\/12*v**4 + d*v**5. Factor f(z).\nAnswer: z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1460734514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 1, 0.1, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b - 30 = -69*b. Solve -8 + 3 = b*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(3\/4)\/b)*b*b**(-11)*b)**(-1\/9) assuming b is positive.\nAnswer: b**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:52 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*d + 2*d, -23 = 2*j - 3*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*u. Let c be u\/(-10) - (-372)\/15. Solve -4*l + 0*l = -3*w - c, 5*l - 2*w = 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 0 + 5)*2 + (0 + sqrt(637))*-5*-4)**2.\nAnswer: 3080*sqrt(13) + 308408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*m - 5*x + 91, -9*x - 36 = -4*m. Solve 0 = f + 5*c - 12, 3*f - m*c + 19*c + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804036174.\nAnswer: 2, 3, 1693, 79153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10304 divided by 56\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/6*(1 - 91))\/(-1). Let y = -135 + w. Solve y*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 3.2?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-14)*23\/1932.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1945648 + -5?\nAnswer: 1945643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/148 + 17\/74. Determine l so that -2*l - f*l**2 - 4 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*d - 2*t, -5*d - 4*t - 55 = 16. Does 18 divide 5*2\/d - (-5728)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*j = -12, 5*t + j - 5*j - 24 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 8*c + 59*u + 422 = 18*c, 0 = -7*c + 2*c + 3*u + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + (-21)\/(-28). What is the units digit of 24 + y + (-3)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - p**3\/3 + 157*p**2\/2 - 11*p. Let u be y(0). Suppose 5*r = u + 168. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 850 - 854. Let k = -3\/4 + 5\/12. Which is the closest to 0.2? (a) r (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 25. Suppose -i - 46 = -h. Suppose -n = -h + 21. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 151432 and 0.08.\nAnswer: 12114.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 568\/(-6) - (-2)\/3. What is the remainder when 21 is divided by (-3)\/(-18) + d\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 216*h + 0*h**3 - 216*h. Suppose 2*v - 22 = -2*v - 2*d, -v - 5*d + 10 = 0. Let f(q) = 3*q**3. Calculate v*p(b) + 3*f(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + (9 - 3))*(-2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -93 (b) 0.1 (c) -0.5 (d) -7506\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-7 + (0 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*-4*-4)\/sqrt(7).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -86*f**4\/11 + 696596*f**3\/11 - 1410582600*f**2\/11 - 65610000*f\/11 = 0. Calculate f.\nAnswer: -2\/43, 0, 4050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*s - 17 = 0, 39*i + 3*s - 13 = 40*i. Sort i, -657, 1 in descending order.\nAnswer: i, 1, -657","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36008 - -39236. What is the remainder when v is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29\/6 + 1\/6. Let q(a) = 2*a + 2 + n - a - 2. Calculate q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -70 - 5*a + a**2 + 43 + 32. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m + 14 = -61*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -16\/3, 5\/6, -2\/7, -0.5, 32.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 315\/10*360\/(-270).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 76422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6510 is divided by 412.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, 1 f, and 1 g when four letters picked without replacement from gqqdqfqgq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147 * 27.\nAnswer: -3969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/77 - (((-24)\/(-28) - 2) + 1). Which is the closest to 1? (a) 17 (b) v (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 23333142?\nAnswer: 23333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4.6633.\nAnswer: -9.3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160 + 160. Solve c*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032421255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 14. Let n(s) = -s - 7. Let k(b) = -2*l(b) + 5*n(b). Suppose -37 = -3*x - 58. Give k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62779216607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 49*q**2 + 71*q + 48. Let z be h(-23). Solve 11 - 21 = -z*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)\/l)\/l)**(-3\/4)*(l*(l**(1\/4)*l*l*l)\/l*l)**26 assuming l is positive.\nAnswer: l**(899\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415836 is divided by 920?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/36*l**6 - 9*l + 1\/18*l**3 + 3\/40*l**5 + 0 + 1\/252*l**7 + 0*l**2 - 7\/72*l**4. What is z in f(z) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 2. Let c be 1\/(-2)*(1 - 5). Let q be j(c). Solve -q*y - 17 = 5*t, 3*y - 7*y + 33 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y + 53*y + 24 - 63 + 27 - y**3 + y**2 + 23 as f + a*y**3 + m*y**2 + d*y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 5\/2*p**2 + 127 + 0*p. Let d(l) = l + 3. Let b(k) = 5*k + 13. Let j(r) = 6*b(r) - 26*d(r). Determine u(j(w)).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 473139*b**4 + 273*b**2 - 2*b + 935834751 wrt b.\nAnswer: 1892556*b**3 + 546*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2. Let m(l) = l - 2*l - 3*l + 5*l. What is m(q(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(84))\/sqrt(12) + sqrt(175) + -1)**2 + -5.\nAnswer: -72*sqrt(7) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 163102 (base 7) to base 12\nAnswer: 16831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/8))**(-46)\/(q**6*q\/((q*q*q**7)\/q)))**(-3\/25))**(-3\/16) assuming q is positive.\nAnswer: q**(-171\/1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 17 + 59. Let l = p - -6. Is 15 - l - (-1 + 0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -7\/6, -3, -73 in ascending order.\nAnswer: -73, -3, -7\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19699 is divided by 9839.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-84)\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2457\nAnswer: -1\/2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-16))**(27\/2)*j*j**(-4)*j**(-3)*((j**(2\/5)*j)\/j)**(-8\/13) assuming j is positive.\nAnswer: j**(-28486\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ef38 (base 16) in base 12?\nAnswer: 2b534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302765.7931 - 302738. Let f = b + -27.8. Round f to 4 decimal places.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = -15. What is the second derivative of -20 - 41*w - 42*w**3 + 87*w - 44*w - w**p wrt w?\nAnswer: -252*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/120 + 7*x**4\/12 - 5*x**3\/6 + 15*x. Let h(z) be the second derivative of t(z). What is the units digit of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/483 or 3274\/3?\nAnswer: -2\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose 4*i + 389 = 3*f, 0*i - 226 = -r*f - 4*i. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-29)\/3*468\/(-15 - -9).\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 17*c + 1184 = -370. What is the remainder when 412 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11330 and 1246815?\nAnswer: 27429930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.167882, 3, -2\/11, -1\/3, -0.5?\nAnswer: 0.167882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 12*f. Sort f, 4, 2 in increasing order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 + -135. Let q = -9 - -9.09. Let c = -0.01 - q. What is the third biggest value in -4, z, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6688.4676 and 3.266.\nAnswer: 6691.7336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. Let p(m) = o - 5 + m. Let k(y) = 107 + 5*y - y**2 - 51 - 55. Determine -k(l) + 3*p(l).\nAnswer: l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4615*i - 6977966. Calculate u(1200).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -517 + 4129\/8. Calculate the common denominator of m and 1 + -1*2\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10 or -3553?\nAnswer: -3553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.49 + -2.44. Let z = -2.05 + x. What is the closest to -0.1 in -2, z, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/7 + 1847*c**2\/7 + 18770*c\/7 + 47175\/7.\nAnswer: -(c + 5)**2*(4*c - 1887)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01563052 + 0.01565. What is l rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:13 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 2*o + 3. Let b be -2 + 7 + 315 - 7. Let h(z) = -316 - z + 3*z + b - z**2. What is 4*h(q) + 3*l(q)?\nAnswer: 2*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.47 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z - 58. Let y be v(9). Solve 0*a - 1 = -a, -y*w - 4 = -4*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504245 (base 6) in base 7?\nAnswer: 510122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 44. Let c(g) = 14*g - 133. Let f(t) = 2*t**2 - 10*t - 411. Let x be f(-12). What is x*c(a) - 8*b(a)?\nAnswer: -2*a + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*19\/((-1197)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8676 = 2*y, -4*l - 26 + 8688 = 5*y. What are the prime factors of l?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**3 + 231525*n**2 + 2677294875*n - 67077153125 = 0.\nAnswer: -23165, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.918969 and -4?\nAnswer: 15.918969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 191 = -5*u + 189, 3*k + 7*u + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -141, -192, -223, -228, -201, -136?\n\"Answer: y**3 + y**2 - 75*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:21 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 3*c + 1)*(59640 - 357*c - 59640) to m*c**2 + j*c + b and give j.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a factor of 45590747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 995 - 992. Let b be (-1)\/(3 + (-10)\/3). Suppose -4*h = -2*m + 18, m + b*h - 14 = -3*m. Solve -2*l + x*o - 8 = 0, -2*l + 1 - m = -o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201085761.3 - -201085644.3000163. Let z = n - -117. What is z rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -12. Let n be -4*((4 - 2) + g). What is the units digit of 1722\/154 + n\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 115480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 248431049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 311841 and 8.\nAnswer: 311849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 9, d: 5}. What is prob of picking 1 n and 1 y?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*2 + sqrt(14) - sqrt(14))*5)\/(sqrt(252) - (sqrt(252) - (sqrt(252) + (sqrt(252) - (sqrt(252)*3 - sqrt(252)))) - sqrt(252)))*-6)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 7\/2*s**2 + 5*s - 1\/2*s**3 - 1\/80*s**6 + 0 - 1\/10*s**5 - 5\/16*s**4. Let y(i) be the first derivative of q(i). Factor y(r).\nAnswer: -3*(r + 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17224448 to four dps.\nAnswer: 0.1722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**2 + 4*n. Let i(a) = 8*a**2 - 3*a. Let m(l) = -2*g(l) - 3*i(l). Let s be m(1). Let d be (12\/(-36))\/(1\/(-3)). Put d, s, 11 in increasing order.\nAnswer: s, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**2 + 5*f**3 - 13*f**3 - 4 + 9*f**3 - f**4 as z*f + c + b*f**3 + g*f**2 + v*f**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i**2)*(-7437 + 91*i + 7437).\nAnswer: -182*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - (54 + (44 - 72))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -24*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 22.9. Let l = -1 - h. What is the second smallest value in l, -0.5, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*f**2 + 3*b**2*f + 117*b**2 + 12*b*f**2 - 84*f**2 + 3*f + 23 wrt b.\nAnswer: -8*f**2 + 6*f + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ffooooofofffouo?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1475 and 101\/8.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v - 2*q + 18, 2*v + 12 = 4*q. Is -0.6 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 77 in ascending order.\nAnswer: -15, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzeiziiaiiiziaizoii. What is prob of sequence ezo?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363 by -753998.\nAnswer: 363\/753998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4700432 is divided by 2832.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 4, -1.\nAnswer: -12, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -22*m**5 - 32 - 17*m**5 - 9*m**3 + 40*m**5. Find the third derivative of g(i) wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1424*s**3 + 717*s**3 + 713*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -114496, -458004, -1030526, -1832062, -2862612?\n\"Answer: -114507*k**2 + 13*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 13 = a - 2, 3*a - 496*l = -489*l - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -47.1*0.06\nAnswer: -2.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j**2 + 10*j - 8. Let s(w) = w**2 + 1. Let d(y) = p(y) + 6*s(y). Let g be d(-11). Let z = -1367 - g. What is z rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3893 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(20\/9))\/x*x*x\/x**(2\/3)*x)\/((x*x\/x**(-10)*x)\/(x\/(((x*x*x*x**(-1\/25)\/x)\/x)\/x))))**(-14) assuming x is positive.\nAnswer: x**(23324\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4*-2)\/(-4))\/(4*5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r + 23. What is y(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Let t be a(0). Suppose -2*v + 5 = -3. Suppose t*l - 36 = -v*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 6*j**2 - 9*j - 10. Let i be (-1 + 10\/8)*(-18 + 22). Let r be (29 - 15)\/(i + -3). Determine l(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 292*d - 2587. Give n(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12*y + 9*y = 177, -2*y = -3*w + 172. Solve 17*i - w + 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 584\/181, 3\/5, 10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = d. Let v = 8 + d. Suppose -v*i = 3*y, -2*i + 5*i - 4*y = 17. Let n(x) = 2*x + 1. Calculate n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/(-15) - 6\/15. Suppose 3*y - s - 169 = -3*s, -s + 270 = p*y. Suppose -35 - y = -2*x. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9574190264?\nAnswer: 2, 1291, 927013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:01 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3042266 (base 7) to base 6.\nAnswer: 11442155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*u + 11203 - 991 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggggggrgg. Give prob of picking 1 g and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 62 + m)*(m - 8*m + 2*m)*(51 - 103 - 21) - 4 + 3*m**2 + 4 - 2*m + m**2 + 1 - 1 to the form z*m + c*m**2 + a and give c.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 18887121.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - h + 0*h. Let m(g) be the first derivative of -g**3\/3 + 4*g - 2. Let f(z) be the first derivative of m(z). Determine s(f(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110538 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 35*q + 12. Suppose 56 = -5*l - v, -67*l = -63*l - 2*v + 56. Determine o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9579699l in millilitres?\nAnswer: 957.9699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - r = -24, 0 = -4*z + 3*r + 76 - 31. List the prime factors of 1*z*(-30)\/(-18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f - 3*q + 10386, -4*f - q = -8306. What are the prime factors of f?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/19))\/c)**(-39)\/((c\/(c*c*c**(-2\/19)\/c*c))\/((c*c**(-9)*c*c)\/c)) assuming c is positive.\nAnswer: c**(1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44499, 178090, 400773, 712572, 1113511, 1603614?\n\"Answer: 4*j**3 + 44522*j**2 - 3*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1868210 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/4))**(1\/62)*x*x**(1\/5)\/x*x*(x\/(x\/x**(-8)))\/x*x)\/(x\/x**6*x*x\/(x*x**(-5)))**(9\/13) assuming x is positive.\nAnswer: x**(-120581\/16120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 400*i**2 + 172*i - 22176.\nAnswer: 4*(i - 7)*(i + 8)*(i + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1074999*g - 4. Let a be m(-4). Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 637*l**2*p**4 - 10*l**2*p - 158*l**2 - l*p**4 wrt p?\nAnswer: 7644*l**2*p**2 - 12*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151581 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/136575 and 17\/270.\nAnswer: 819450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/((a*a**(-6)\/a)\/a))\/a)\/((a*a**(-2\/15)*a)\/a*a*a)*(a**1\/a)\/a*a\/(a*a**(-3)\/a) assuming a is positive.\nAnswer: a**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555034.340488 + 0.2.\nAnswer: -555034.140488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8272, -5, -2, -3 in increasing order.\nAnswer: -5, -3, -2, -0.8272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 11*q**6\/2 + 2*q**5\/5 - 4*q**3 - 5*q**2 - 80. What is the third derivative of t(m) wrt m?\nAnswer: 1980*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 8*w + 8. Let g be m(-6). Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z. Let h(r) be the second derivative of 0*r**2 + 0*r**3 + z - 1\/12*r**4 + r + 1\/10*r**5. What is the third derivative of h(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32313 to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*b - 156*b = 3*a - 16, 2*b + 10 = 6*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:46 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 257 - 26. Let i = 28 - h. Does 23 divide 4\/(-2) - (i + 1230\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8 - -11)\/3)\/(4\/(-92)))\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75615?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79178306*f**5 - 73707356*f**2.\nAnswer: 4750698360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-759)\/(-184) - 3*(-2)\/(-48). What is the third derivative of 3632*n**2 - 41*n + 9*n**4 + x*n**4 - 3635*n**2 wrt n?\nAnswer: 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 + -0.02. Let t = z + -0.2. Let o = -138 + 137.7. Which is the closest to 2\/3? (a) o (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 5*p**2 - p - 3. Let j be q(-5). Suppose -4*n = -j*d, 7*d - 2*d = 4*n + 12. Find the second derivative of -8*k + 0*k - 7*k + 16*k**n wrt k.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -2*f + 2, -2*f + 4 = 3*v. Let l = -5 - -29. Let p = l - 9. Solve 3*b - p = f*z - 3*z, 7 = b + z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 72, -53, -280, -633, -1136?\nAnswer: -1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 2862?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 + 1.6.\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/(-30) - -4)*12\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - q**2 + 28*q**2 - 21*q.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 220459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7846240*y**4 - 2*y**3 + 4567016?\nAnswer: 31384960*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 18*p + 109. Let r be z(13). Solve 0 = j + r - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211 + -188. Sort 5, t, 25.\nAnswer: 5, t, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-5))\/(-1 + -1). Suppose -4*a = -k*f + 3*f - 676, -5*f + 4*a = -1084. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -151d6?\nAnswer: -151d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 3*j + 5 + 3*j + 2*j**2 in the form u*j**2 + w + m*j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/80 in -2\/3, 2, 0.06, -1, -15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(700) - (sqrt(700) + sqrt(700) + 1)) + 5 - (3 + 5*(sqrt(700) + (sqrt(700) + 1)**2 - sqrt(700))))*1.\nAnswer: -3505 - 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571980421.\nAnswer: 8231, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 7*b + 20. Let o(v) = -6*v**2 - 14*v + 39. Let l(h) = -3*o(h) + 5*t(h). Is l(-12) 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 {e: 1, d: 4, i: 6}. What is prob of picking 2 i, 1 d, and 1 e?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*y - 28, -2 = -y - 0*y. Let c be (-6)\/45*w*-5. Solve 18 + 2 = 5*f - 3*s, -2*f - c*s = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 966578, 966580, 966582?\n\"Answer: 2*d + 966576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**(-31)*p*p**22)\/(p**(6\/25)*p*p)**(1\/2))**(2\/23) assuming p is positive.\nAnswer: p**(-306\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Let h be (-288)\/(-20) + u\/5. Suppose g - 8 = 3*b + 7, -3*g + 3*b = -h. Solve g = 3*k - 2*i - i + 6, 0 = 2*i - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)*w**(1\/12))\/(w\/w**(2\/19)*w*(w**0*w)\/w) assuming w is positive.\nAnswer: w**(-9869\/5700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udu when three letters picked without replacement from ddubvbuduiucucbuc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.37 + -0.67. Let f = -24 - -14. Let j = -7 - f. Which is the third biggest value? (a) j (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1, 38, 14, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 + i**4\/2 - 2*i**3 - 12*i**2 + 2*i. Let c be k(-7). Let s(g) = 13 - 4*g - 1 - c + 3*g. Calculate s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 2 + -1 + -4 + (-3 - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 12*t + 3. Let r be q(12). Find the second derivative of 19*y + 3*y**r - 16*y - y**3 wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184538318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1236?\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.03022 - 535019.152\nAnswer: -535019.18222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/2 - 335160\/10290.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23321 + -531?\nAnswer: -24152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -189*l + 854. What is the units digit of i(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24909304 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtuuaxuaataxataat. Give prob of sequence tm.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -211, -799, -1763, -3103, -4819, -6911, -9379?\n\"Answer: -188*u**2 - 24*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, l: 5}. Give prob of sequence gggg.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:14 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -233, -237, -243, -251, -261?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose -v*s - 2 = -12. Suppose k + 0*k = 3*w - 5, 25 = s*w. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 12914900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 - 96*l**2 + 9*l + 138. Calculate c(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*l**3 - 21659*c*l**2 - 6*c - 1271*l**6 + l**4 wrt l.\nAnswer: 12*c - 152520*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = -24. Let q = -7 - f. Solve 0 = -5*y - 4*j - 30, q = -3*y + 5*j - 3*j + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 divided by -3.\nAnswer: -151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63192875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 33. Let z = o - -24. Find the second derivative of 3*m + 15*m**z - 12*m - 16*m**2 wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*a + 134, 0 = 3*r + 8 + 4. Let y = a + -30. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23271638 and 119934?\nAnswer: 4442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*g + 21 = -75*g + f + 37, -4 = -f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142480 divided by 20.\nAnswer: 7124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 37244012*w - 173389553732018 = 0. What is w?\nAnswer: -9311003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(325)) + sqrt(325))**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1008994*x - 1255705 wrt x.\nAnswer: 1008994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 166666*m**2 - 2*m + 12. Let c be (2 + -2 - -3) + 45\/(-5). Let v be d(c). What is v rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 200\/60*(-2 + -1). Let f = x - -14. Calculate the lowest common multiple of f and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*l - 2*z - 1595, 0 = -z. Calculate the highest common factor of 29 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 221150541 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -165\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 750\/943 - 2807\/4715. Factor 0 - c*w**2 - 24\/5*w.\nAnswer: -w*(w + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.19 + -1.19066. What is f rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2758461645 - 0.4.\nAnswer: -2758461645.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + m**3 - 3*m**3 + 2*m**3 + 2*m - 6*m**2 to the form i*m**2 + n*m**3 + t + f*m and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-17)\/102)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 2. Let p(d) = -d**2 - 7*d - 6. Let r be p(-5). Suppose 3*l - 2*c - 2 = 0, r*l - c - 4 = 2. Suppose -8 = 2*q + l*q. Determine j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98138328 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*o + 6*o + 92 + 640 + 9*o - 127)*(0*o**4 + 2*o**4 + 2*o**4).\nAnswer: -24*o**5 + 2420*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 - k - 3. Let p be o(0). Let b(s) = -s**3 + s - 3. Let c be b(p). Calculate the highest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -53*l + 28*l + 35*l + 1. Let x(r) = -r**3 - 3*r**2 + 3. Let o be x(-3). Suppose o*f + 4*s + 11 + 6 = 0, f = -3*s - 14. Determine k(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + 99*i + 357. Give t(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 26399 - 22340 = 15*o. Suppose 0 = 3*a - 5*a + 126. Calculate the highest common divisor of a and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 23 = 4*p - 5*p, 0 = -3*s - 15. Let o = 20 - p. Calculate the remainder when 22 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4555 is divided by 345?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1196250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -15341.\nAnswer: -582958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -29*m + 104. Let z be t(4). Calculate the remainder when (-1026)\/(-13) - z\/(-6 + 162) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/24 + 0). Let y(j) = -j + 16. Let c be y(-21). Let s = f + c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -22*n**2 - 15*n - 29. Let a(t) = -t**2 - 1. Let l(x) = -3*a(x) - d(x). List the prime factors of l(-3).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by -63.\nAnswer: 340\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p + 29. Let l(i) be the first derivative of -3*i**2\/2 - 1399. What is l(s(b))?\nAnswer: -27*b - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*q**2 - 3*q + 7*q**2 + 15006 - 15006 + 3*q.\nAnswer: 261*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - d = 6*k, 3*k - 3*d = 9. Let p(g) = -40*g**2 + 30*g. Let z(s) = -s**2 + s. What is k*p(r) - 30*z(r)?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/5 and -22\/115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7808 + 357391.\nAnswer: 349583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 566386 divided by -3\nAnswer: -566386\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -a + 212521, -5*j = 2*a - 328498 - 202805. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -3 - (6 + -11)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 9*q**2 + q - 6. Let k be n(9). Suppose k*u - u = 106. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p + 1. Let c be t(6). Let j(f) = -76*f**2 + 56*f + 105. Let d(v) = 9*v**2 - 7*v - 12. Let z(x) = 17*d(x) + 2*j(x). Calculate z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*s**4*t - 23*s**2*t + 2*s*t - 1359*s wrt s?\nAnswer: 120*s**2*t - 46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -7 + (1 - 0) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694126 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/443166 and 121\/20.\nAnswer: 4431660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + -8 + 1 + 1. Let a be 4\/10 - 14\/10. Let k = a - d. Sort k, -1, 0.1 in decreasing order.\nAnswer: 0.1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 25*r**7\/3 + r**6\/60 + r**5\/60 + r**4\/12 + 1171*r**3\/6 - 210*r**2 + 11*r + 2. What is the second derivative of d(y) wrt y?\nAnswer: 21000*y**2 + 12*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - 6*sqrt(49)*3)\/(sqrt(112)*2).\nAnswer: -17*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 3\/10, -0.2, -0.07 in descending order.\nAnswer: 3\/10, -0.07, -0.2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69965113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-60))\/((-24)\/144) - (-410)\/(-450)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4.48 + -0.54644\nAnswer: 3.93356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, i: 3, n: 3, u: 1}. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a decade in years?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32771505 to the nearest integer?\nAnswer: 5725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: dc9 (base 15) to base 8\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**6\/120 + o**5\/6 - 13*o**4\/24 + 14*o**3\/3 - 4*o**2 + 12*o. Calculate the lowest common multiple of r(4) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from zcfctfkff.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596 a factor of 874703172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, 153, 229, 305, 381?\n\"Answer: 76*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 + 67*b**3\/2 + 2657*b**2\/2 - 8382*b - 2178 = 0.\nAnswer: -22, -1\/4, 6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 12:35 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-20 + (47 - -2 - 62)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbrxbuuxsupbp. What is prob of picking 1 s, 1 u, and 2 p?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 + 146\/252. Let y(f) = 2*f + 75. Let s be y(-37). Let m be 3*(s + (-32)\/24). Is k bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 - -190. Let l = h - 28. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - 22*a**2 + 9*a + 21. Does 66 divide q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 6*u + 11. Let m be y(7). Suppose 0*l = 2*j + m*l - 62, 0 = -3*j + 4*l + 53. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**3 - 8*f**2 + 17*f - 9. Let v(l) = -l**3 + l - 2. Let a(b) = -5*v(b) - z(b). Give a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 - (-1 - -7) - (-706)\/(-324) and -23\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 26. Put f, -3, 3 in decreasing order.\nAnswer: f, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 1363*d\/7 + 390.\nAnswer: -(d - 2)*(d + 1365)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + c**3 + 2 + 2*c**3 - 2*c**3 + c**3 + (-3 + 4 - 2)*(4 - 4 - 2*c**3).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 89. Let i be 3 - (-4 + 3 + d). Solve i*j + 22 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231.072 - -234. Let j = -0.072 - q. What is the nearest to 2 in 2\/13, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -3)\/5*-34. Let m = l + 76. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 7 - 6 = -5*a + 7, 65*u + 2*a - 217 = -103 - 106 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19 - -20 - (-127 + 0\/3). Suppose -5*d + 4*b = -7*d + c, -5*d - 2*b + 304 = 0. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:00 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - h = 20028, 8*h - 10*h + 25035 = 5*o. Let m be -4*(12\/(-66) + o\/132). Let w = m + 313. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3 - 2*f - 42. Suppose -4*m + 49 = y, -m + 6 = y - 2*y. Suppose 16*g - m*g + 10 = 0. Give o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6758 times 4\nAnswer: 27032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 57*n**3 - 18*n**2 + 50*n + 8320. Let b(z) = 169*z**3 - 51*z**2 + 152*z + 24963. Let q(x) = 6*b(x) - 17*l(x). Differentiate q(m) with respect to m.\nAnswer: 135*m**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:50 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120093777.\nAnswer: 3, 103, 353, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49044 by 24522.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 2*a - 12, -2*a + 5*j = -18. Let q = -94 + 84. Calculate the remainder when 2 is divided by 1\/(-1)*(q + a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 4061*f + 28370. Give o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 4 + 3*v - 8*v**2 + 9*v**2 - 7*v. Let w be q(5). Let d be w - 2\/3*-6. Solve 0 = 5*l + g + d - 3, 4*l + 3*g = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -1 - ((13 - 31) + 9 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-2))\/((-34)\/144*63).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (198\/24)\/(-11)*-4. What is the fourth smallest value in j, -5, 0.4, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -509860, -1019617, -1529182, -2038459, -2547352, -3055765?\n\"Answer: 16*r**3 - 509869*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1613546*t**2 + 83*t + 269120101?\nAnswer: -3227092*t + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848 + 4*w + 848.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*a**3*c + 8*a**3 - a**2*c + 4762*a*c - 2*a - 2 wrt a?\nAnswer: 960*a*c + 48*a - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-86*u + 60 - 120 + 56)*(4*u - u - 2*u).\nAnswer: -86*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -14553?\nAnswer: -15000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*i - 672980 = -65*i. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-8))\/((-81)\/(-1080)*60\/(-36))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(9\/(-36)*-4). Solve 0 = 2*f - 4*r + 2, -3*f - i*r - 6 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8053.\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14626607893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -83 (b) -1412 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323 - -227. Let p = f - -95.999804. What is p rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 14. Let h be k(6). Sort h, 2.1, 0.3 in ascending order.\nAnswer: 0.3, h, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 25 = -5. Factor 11*n**4 + 3*n**5 - 4*n**4 - 5*n**a + 9*n**4 - 32*n**3.\nAnswer: -2*n**3*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*p = 9*z - 338, 2*p + 86 = z. Let v(f) = 171*f**2 - z*f**2 - 1 - 9*f**3 + 7*f**3 - 87*f**2 - 9*f**3. Determine v(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 20*l. Suppose -14*k + 28*k = -294. Is l bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - b + 5 = 0, -b + 240 = 240 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54484 and 11308.\nAnswer: 599324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**46\/(u**(-5\/4)\/(u\/(u**6*u)))*(u**8*u*u\/(u**(-2\/7)\/u))**18 assuming u is positive.\nAnswer: u**(8131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h**3 + 3*h**2 + 2*h + 1. Give j(-2).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l + 2. Let u = -5 + -9. Let y = u + 10. Sort -3, l, y.\nAnswer: y, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - f - 59, -f - 4*f - 115 = -5*p. Is 17 a factor of (((-1496)\/3)\/4)\/(p\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8074277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2683\nAnswer: -3\/2683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:56 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2105 = -h + 2*x, 10501 = 5*h + x - 5*x. Suppose 123*v = 126*v - h. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:49 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12951817 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 132230895 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1302 - -1301.9962152. Round w to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.24 - -11. Let v = s - -0.24. What is the second biggest value in 2\/9, 2\/3, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*o**2 - 1\/2*o**3 - 2*o.\nAnswer: -o*(o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 16, o: 4}. What is prob of sequence sos?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 109 and 1197\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1102*b*r**2*t**2 + b*r*t**2 + 2*r**2*t**2 + 5*r*t**2 - 32*t**2 wrt b.\nAnswer: 1102*r**2*t**2 + r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 0*x**3 + x**3 - 4*x**3 - x**3 + 2*x**3 + (4*x**2 - x**2 - 2*x**2)*(2*x - 5*x + x) - 47*x**3 - 64*x**3 - 15*x**3.\nAnswer: -132*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324994?\nAnswer: 2, 43, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -174864945 less than -11.66?\nAnswer: 174864933.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 30 - 10. Factor 7*f**2 - d*f - 3*f**2 - 11*f + 4*f.\nAnswer: 4*f*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and 0.02.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - x**2 + 17*x + x**2 + 2*x**2.\nAnswer: 4*x**2 + 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2635 - -20.9963.\nAnswer: -2614.0037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.32647362 + -0.01\nAnswer: -0.33647362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*w**4 + 467*w**4 + 369*w**4)*(4*w - 6*w + 5*w)*(-6 + 2 + 3).\nAnswer: -2199*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11058180, 11058181, 11058182, 11058183, 11058184, 11058185?\nAnswer: 11058186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + f - 3*f)*(62 + 42 + 28 + (-2 - 1 + 1)*(5 - 1 - 2) + 2 + 4 - 5).\nAnswer: -258*f - 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 = -g - 4*g, -5*r + g + 29 = 0. Find the first derivative of -4*j - 7*j + 3*j - 13 - r*j wrt j.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) + 411\/9. Let p = i - 41. Solve -4*t = 20 - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158039.\nAnswer: 7, 107, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04760915566 and 383.\nAnswer: 382.95239084434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.20334 * -1411.\nAnswer: 1697.91274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -1.9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -24. Let n be 1\/(2*1\/10). Let s = x - n. Solve 0*g + 5*g = -s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 28*a**2 - a - 20. Suppose 6*n - 52*n = 11*n + 1596. Determine p(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*h - 190*h = -1143 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 1 = 5*d - 3*l, 5*d + 33 = -3*l for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24585 - 1?\nAnswer: 24584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8*f + 5*x - 140, 0 = 4*f - x - 164. Let y be f\/808*(-14)\/(-5) - 0. Let b = y - -483\/1616. What is the common denominator of -77\/20 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11659 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -0*z. Let h(n) = -2*n**2 + 0*n - n + n**z. Let y(u) = 2*u**2 + 3*u. Let f be 39\/15 + (-4)\/(-10). Give f*h(q) + y(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5985 + 6103. Solve 118 = 22*i + t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - 1*sqrt(19)) + -1*sqrt(19) + 4.\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4\/9 - 1340*g**3\/9 - 32528*g**2 - 2148672*g + 36873984 = 0.\nAnswer: -228, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47755, -95549, -143343, -191137, -238931?\nAnswer: -286725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/5 + 3798*w**2\/5 + 6056*w + 45384\/5 = 0.\nAnswer: -1891, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302511 divided by -309?\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1317003 minutes in seconds?\nAnswer: 7.902018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0558272627 + 0.05583. What is o rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14*s**2 + 2. Let f be 8\/3*((-21)\/(-6) - 2). Let a(l) = 3*l - 5. Let p be a(f). Let m(v) = -v**2 + p*v - 15*v + 8*v. Give z(m(x)).\nAnswer: -14*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43257, -43260, -43263, -43266?\nAnswer: -43269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146256*x = -146288*x - 224 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*a + a = -44, 4*k + 3*a = 20. Let r be k\/5 - 16\/(-40). Let u be ((-5)\/((-15)\/6))\/r. Solve -u = -q - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + 11*y**2 - 5*y + 14. Let n(q) = 6 + 4 + 4*q**2 - q**3 - 2 - 3 - 2*q. Calculate 11*n(m) - 4*s(m).\nAnswer: m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -211.1 bigger than 9\/889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 398669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*w = -23, -64 = -2*f - 2*w - 3*w. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, -34, -1175 in decreasing order.\nAnswer: 200, -34, -1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ooooouooououoooo?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-465)\/(-165) + 4\/22. Suppose w = 5 - s. Suppose 0 = -w*y - 3*q - 0*q + 86, -q = 5*y - 241. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((-15)\/(-18))\/(2\/12). Let q be -1*(-8)\/(-12) - (-44)\/j. Let b(t) = -2*t - 8. Give b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - 281. Let v = 314.7 + d. Sort v, 0.4, 1, 0.5 in descending order.\nAnswer: 1, 0.5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6 - (-42)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184846685 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (465\/(-45))\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3163 + -2109. Calculate the greatest common divisor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.640854 decades to months.\nAnswer: 1036.90248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*5\/30)\/((-2)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576141248.\nAnswer: 2, 1553, 25919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from haaahbabhhha?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 542*q**3 - 6780*q**2 + 18576*q.\nAnswer: -2*q*(q - 258)*(q - 9)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1))\/(l**(-1\/2)*l))\/(l**1)**(-1\/41))\/(((l**(-1\/4)*l)\/l)**(-16\/9)\/(l**(-1\/6)*l**(-4))) assuming l is positive.\nAnswer: l**(-1877\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 2*f - 15. Let k = 187 + f. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 48\/(-36))\/((-2)\/(-3)). Solve -5*d + i - 10 = 0, 2*i = d + 3 - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 163*q**4\/6 + 5*q**3\/6 - 91*q**2 - 1. What are the prime factors of x(1)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -463*r + 465*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9) + 1*(-38)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*((sqrt(1053) - -5*(sqrt(1053) - 1*sqrt(1053))) + (sqrt(1053) - (-1 + sqrt(1053)))*-2) + 5)**2.\nAnswer: 90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5722 + 6346. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12009?\nAnswer: 3, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/120 - h**5\/20 - h**4\/12 - 2*h**3\/3 - 2*h**2. Let n be d(-3). What is the units digit of (-1 + n)*(-4)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17\/24 - 3\/8. Let b = -746 + 749. What is the nearest to 1\/5 in b, 6\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146.41 - 151. Let g = 1.59 + f. Let i = -0.3 + 0.2. Sort i, g, -2\/11, -1.\nAnswer: g, -1, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:39 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1854226230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70175991?\nAnswer: 3, 1487, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74236, -148478, -222718, -296956, -371192?\n\"Answer: r**2 - 74245*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/280 - v**5\/70 - v**4\/56 + 12*v**2. Factor c(x).\nAnswer: -3*x*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -129, -1\/3, 4, 0, -2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 27*z + 27429 = 5*w, -3*w - 2*z = -16453. Does 60 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - d - 15 = 0, 33*d - 15 = 30*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625) + sqrt(625) + 4*sqrt(625))\/(sqrt(180) + sqrt(180)*3 + sqrt(180)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 - -3) - (-10 - -7) - 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 15*j**2 + 8*j + 2. Let c = -32 + 40. Let k be y(c). Suppose -k + 37 = v. Calculate the highest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -109 - (-5 + 2) - ((-162 - -25) + 139)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5041*b**3 - b**2 - 8087 wrt b.\nAnswer: -15123*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56627\/38 or 1490?\nAnswer: 56627\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(1\/4))\/(o*o\/((o*o\/(o*o*o*(o\/((o\/((o*o**5\/o*o*o*o)\/o)*o)\/o*o))\/o*o))\/o)))\/((o*o**(-2\/3))\/o)**(4\/13) assuming o is positive.\nAnswer: o**(-1177\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5910 and 22245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**8\/336 + 527*h**6\/120 - 357*h**4\/8 + 8*h**2 + 3*h. Find the second derivative of a(d) wrt d.\nAnswer: -20*d**3 + 3162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211393650 divided by 30?\nAnswer: 7046455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.35873 or 3\/13?\nAnswer: 3.35873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 129 - 71 = 0. Let w = 61\/228 - 1\/57. Do a and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 1. Let z(l) = 10*l + 3. Determine -3*y(b) - z(b).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -442 + 127?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - g**3 + 3*g**3 + 2*g**3 + 2*g**4.\nAnswer: 2*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16955*h**6 - 2*h**2 - 1622*h?\nAnswer: -2034600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (21 - (15 - -8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138709 is divided by 4943?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-21)\/(-7)))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, r: 2, y: 2, s: 1}. Give prob of sequence ysy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-27))\/(364\/3276).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c76d (base 16) in base 9?\nAnswer: -746372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64450*a - 16390*a + 8474*a.\nAnswer: -72366*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 12. Let j be p(-11). What is the tens digit of 153*(2 + (1 - (-2)\/j))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 259137 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + x. Suppose -j + a + 0*a = -3, x*j + 3*a = -4. Let y be (-6)\/(j + 10\/(-4)). Let d(r) = -r**3 + 5*r**2 - 4*r + 4. Determine d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/13)\/(c*c\/(c\/(c\/(c*(c\/(c*c**13*c*c*c))\/c)))*c) assuming c is positive.\nAnswer: c**(-243\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 8\/3*w**3 + 0*w**2 + 0*w - 8. Let z(g) = g**2. Calculate r(z(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 + g + 11. Let b be t(-8). Suppose 0 = -3*l + 3*h + 129, b*l - 3*h + 141 = 6*l. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-528)*(-6)\/(-8)*4*3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 59033 = 3*g, 11*x = 3*g + 10*x - 59048. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25468 - 20084. List the prime factors of n.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/140 - 34\/(-270). Which is the closest to -4? (a) 3 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b**2 + 3*b)*(-2*b**3 + 2*b - b**3 + 2*b**3) + 152*b**4 - 389*b**4 + 234*b**4 - 231*b**5.\nAnswer: -233*b**5 - 3*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.305731 hours to days.\nAnswer: 0.096072125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19)*-2 + -5 - (sqrt(114)\/(-2*sqrt(6)) + sqrt(19))**2 - -6*(sqrt(152) + (sqrt(152)*-1 + sqrt(152))*-1 + sqrt(152) - sqrt(152))\/sqrt(8)).\nAnswer: -117\/2 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -79 (c) -1\/21 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 + 9 = 0. Let u be (-3)\/(-9)*(-24)\/i. Suppose u*k = -3*y + 387, y - 5*k - 37 = 92. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1295681\/17 + 76241. Let o = -2549\/34 + p. Let t = -2033\/6 - -338. Find the common denominator of o and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 + k**2 + 3 - 3. Let d(r) be the second derivative of r**5\/60 + r**2 - 13*r. Let h(a) be the first derivative of d(a). What is z(h(o))?\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.40199 + 0.00691. Let z = m + 0.0171. Round z to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400 (base 5) to base 3.\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.2415845 minutes to weeks.\nAnswer: 0.005182696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022022022 (base 3) in base 12?\nAnswer: -12a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**6\/6 + 2*f**5\/5 + f**4\/4 + 6. Find x such that t(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128 - -146 - (25 - -1)) + 5 + 84 + 2\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003966 to 6 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 33344?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 8:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*3*-3)\/(-4*sqrt(10)\/sqrt(2)).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 59690\/(-4)*(-1 + -1). Suppose -8 = 4*c, 8*w - 12*w = -2*c - 62184. Let y = o - w. Round y to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 16*r**2 - 66*r - 6. Let f be b(-8). Suppose 0 = f*m - 23 - 27. Solve -6*w = -11*w - 4*o + m, 0 = -4*w - o + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1240944 and 11\/21084.\nAnswer: 8686608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 2*j**2)*(2*j + 4*j - 10*j) + 47*j**3 - 17*j**3 - 16*j**3 + (0*j**3 + 2*j**3 - 3*j**3)*(1 - 2 + 2).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2. Let u(a) = a**2 - a + 1. Let y(k) = 4*o(k) - u(k). Give y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2 - 8*u**2 + 8*u**4 - 2*u - 2*u**4 + 14*u**3 - 12*u + 4*u**4 = 0.\nAnswer: -7\/5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/36 and -7\/5064.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -23660?\nAnswer: 23677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b - 175. Let z be o(-20). Suppose 144 = -z*d + 7*d. Do d and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 11\/7, 5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39310 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 - 2*w - 1. Let p be l(-1). Calculate the greatest common divisor of p and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 4*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q - 12*q - q**2 + 6*q + 0*q**2 to i + y*q + o*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1144 + -466. Let p = -456 + o. Suppose p = 3*h - 852. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 1. Let t(l) = -l**2 + 9*l - 12. Let x be t(8). List the prime factors of w(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**2 + b**2 + 3*b**2)*(-1 - 1 + 4)*(-2404*b - 3308*b + 2595*b)*(3 - 3 - 1) as u*b + k*b**3 + f + c*b**2 and give k.\nAnswer: -6234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 1. Let w be d(-4). Let q = 22 - 23. Sort q, w, 5 in ascending order.\nAnswer: q, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1208, -155 in descending order.\nAnswer: 1208, -2, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/5 - 152\/(-76)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/9 - 6420344*x**3\/9 + 8560466*x**2\/3 - 32101756*x\/9 + 12840704\/9 = 0. What is x?\nAnswer: -3210176, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*(sqrt(77) - sqrt(77)*-2) + -1*sqrt(77)*-2)\/(((sqrt(245) - (sqrt(245) + (sqrt(245)*-4 - sqrt(245))) - sqrt(245))\/sqrt(5))\/sqrt(7)))**2*-2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121425 by -6.\nAnswer: -40475\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30838 + 30837. Let v(t) be the third derivative of -t**6\/120 - 2*t**2. Let g(f) = 15*f**3. Calculate r*g(w) - 9*v(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p**2\/3 + 203*p\/3 + 34 = 0.\nAnswer: -6, -17\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 3, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19)\/((-532)\/238))\/(3\/120). Calculate the highest common factor of j and 5372.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 133 = -3*j - 5*n, 4*n - 92 = 2*j. Let g = -29 - j. Suppose 4*m = 23 - g. Solve 0 = -m*h + 15 + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 28. Let h = o - 12. Which is greater: 18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d - 268. Let l(n) = -40*n + 805. Let p(y) = -6*l(y) - 21*z(y). What are the prime factors of p(0)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, 48, 104, 156?\n\"Answer: -2*p**2 + 66*p - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 3*a - 5. Let u = -18 + 26. Let o(q) = q**2 - 8*q + 5. Let b be o(u). Let h(k) = 7*k**2 - 4*k - 6. Determine b*h(d) - 6*y(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*i**4 - 3\/2 + 2*i**2 + i**3 - i.\nAnswer: -(i - 3)*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6 + 3*a + a + 10*a**2 + 5 - 7*a**2. Let j = -25 + 27. Let l(t) = 4*t**2 + 5*t - 1. Give j*l(p) - 3*v(p).\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 574*v - 1150*v + 3 + v**2 + 574*v + 8*v**3 + v**4 - 6 as w*v**2 + k*v + o*v**4 + a*v**3 + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1944, -4789, -9196, -15945, -25816?\nAnswer: -39589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -169. Suppose v = 5*v - h. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*c + 26 + 7 = 0, l = 4*c + 34. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 20*h = 60*h + 520 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.036536 days to weeks.\nAnswer: 0.576648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/89 and 83\/2?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 4*i. Let b = -14 - -11. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(10\/9)*b**(-1\/4) assuming b is positive.\nAnswer: b**(31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 92*p**6 - 17*p**3\/2 + 835*p + 2. Find the second derivative of x(b) wrt b.\nAnswer: 33120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 6*n**4\/13 - 100*n**3\/13 + 536*n**2\/13 - 860*n\/13 - 350\/13 = 0.\nAnswer: -1\/3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-130))\/(-55 - -56 - 102\/(-20) - 7)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152 = -38*j + 1000 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132)*-1 + sqrt(132)))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 31 = -210 - 5 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a + 2*q = -29*a - 4, 2*a - 2*q = 12. Suppose -a*g = -c + 20, -c - 2*g = -g - 26. What is the smallest common multiple of ((-198)\/12)\/(2\/(-4)) and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u - 1449 = -21*u + 1949 + 1152 for u.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19055.\nAnswer: 5, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514994 bigger than 6059979\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49089, 46551, 44007, 41457, 38901, 36339, 33771?\nAnswer: 31197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -201, -211, -225, -243, -265, -291?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 1 + (2 - 1 + 1)*(-2 + 1 + 0) - 1 + 1 - 2)*(3 + 0 - 2)*(u + 2 - 2) as z + k*u and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-3)\/(sqrt(192) - (sqrt(192)*2 + sqrt(192))).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61245 and 3285.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 34831249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828137769?\nAnswer: 3, 61, 73, 61991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 5, i: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 674, 1678, 3084?\n\"Answer: 201*t**2 - t - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabakxbaaabaaa. Give prob of picking 1 x and 1 a.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 45. What is w(23)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 + -368.3. What is the third smallest value in 1\/8, m, -3\/28?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + 3*x, 0 = -4*x - 0 - 16. Suppose d*y - 262 = 5*g, -5*y - 5*g + 325 = -10*g. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10*(-20)\/48. Let v(m) be the second derivative of 0 - 5\/6*m**3 + k*m**4 - m + 2*m**2. Determine v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t - 13. Let g(c) = c**2 + 12*c - 22. Let w be g(t). Let z be w\/(18\/(-4)) - 1. Which is smaller: 4\/33 or z?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 - 213. Let v(x) = x**3 + 4*x**2 - 3*x - 7. Determine v(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*z**4 + 235723*z**3 + 13*z**2 - 407186*z - 7?\nAnswer: 60*z**2 + 1414338*z + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -355 - 1814 - 666 - 1265 - 851 - 2301*s**2 wrt s?\nAnswer: -4602*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2\/2 + 2631393*q\/2 + 1315698 = 0. What is q?\nAnswer: -1, 877132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 9\/5, -4, 26 in decreasing order.\nAnswer: 26, 9\/5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 2, u: 3, q: 1, t: 8, n: 1}. What is prob of picking 1 o and 1 q?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 64, 123, 202, 301, 420, 559?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 - f - 1. Calculate the smallest common multiple of 3 - 2*(-2)\/4 and s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = -6. Let o = 2 + q. Let v(i) = 5*i - 112. Let t be v(24). Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 431359.1 decades?\nAnswer: 51763092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 23. Let x(o) = 2*o + 23. Let m(d) = 6*u(d) + 5*x(d). Let p be m(-11). Is 3032\/1 - (-10 - -6 - p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**3 - 10*p**3 + 16*p**3 - 5 - 6*p**2 in the form v + a*p**3 + t*p + b*p**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-22)\/4)*(-24)\/(-21). Suppose -o*y = 16, c + y - 33 = -2*y. Calculate the lowest common multiple of 5 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1064747, 2129478, 3194209, 4258940?\nAnswer: 5323671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + (-10)\/(-4) + 2)*(-342)\/57. Let y be 2\/(-6) - 145\/(-3). What is the greatest common factor of y and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312878 divided by 27.\nAnswer: -312878\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 - 3071?\nAnswer: -30b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*q**5\/11 - 31898*q**4\/11 - 12378*q**3\/11 + 51632*q**2\/11 - 5608*q\/11 - 192 = 0 for q.\nAnswer: -3\/2, -2\/13, 2\/7, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102922602487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (9 + -8 - 14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 4 - 4 + (6 - 2 - 1)*(-2*c + 2*c**2 + 2*c) + 6*c**2 + c**2 - c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*p - 52 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:56 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 5*p**3 - p**2)*(572 + 12*p - 574 + 80*p).\nAnswer: -460*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.047 - -0.111. What is n rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51 + 226550057591.\nAnswer: 226550057590.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Suppose f + 6 = 3*o. Suppose -3*d - 3 - 7 = q, 0 = -q + 3*d + 14. Solve 4*v = o*v - q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*l - 4, -7*s + 2*s - 6 = -3*l. Factor 2\/7*p**5 + 0*p + 0*p**2 + s + 0*p**4 - 2\/7*p**3.\nAnswer: 2*p**3*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 12. Let b(k) = k. Determine -3*b(d) + w(d).\nAnswer: 2*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3989 divided by 2\nAnswer: 3989\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {h: 1, d: 7, m: 2, q: 2, k: 2, c: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + (-3 - 1 - -1). Let i = n + 69. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -11\/455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s**2 + s - 1. Let c be u(2). Let n = 81 - c. Suppose 2 - n = -2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/8))\/(g**(-4)\/g)*(((g\/g**(-2\/13))\/g)\/g)**23 assuming g is positive.\nAnswer: g**(-1439\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*j + 8 = 49, 0 = -2*h + 2*j + 82. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 12, -8, -2, 4.\nAnswer: -8, -2, 4, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 9027.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*g + 50*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -d0b6?\nAnswer: d0bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 4*k + 10. Suppose 2*j - 6 = 0, 4*h + 39 = -4*j - 1. Is t(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32516, 65030, 97544, 130058, 162572?\nAnswer: 195086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 35*q**4\/24 + 100*q**3\/3 - 640*q**2 - 4. Determine m(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1382 + -1382. Let h be -2 + -4 + 2 - 1. Let l = s - h. Solve -m - 22 = l*r - r, -13 = -m + 3*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a + 18 = 0. Let r = -155 + 157. Solve 14 - a = r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 329, -1, -42 in decreasing order.\nAnswer: 329, 2, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 230*k**2 - 20*k**4 - 2*k**3 + 69*k**4 - 39*k**2 - 19*k**4 - 26*k**4 + 2*k as s*k**4 + i*k**2 + g*k**3 + y + a*k and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, v: 2, k: 2, u: 2, q: 1, y: 1}. What is prob of picking 1 g and 1 u?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2301 - -2301.2. Sort 0.01, o, 5, -0.16, 2 in ascending order.\nAnswer: -0.16, 0.01, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 15. Suppose 2*k - 6 = a. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = g - 5*r, -6*g - 4*r = -2*g + 280. Let c = g + 107. Let p = 92 - c. Is 30 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.071, 1\/2, -0.2, -45?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -825\/8 (c) -540.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -9*o + 14*o + 144, 60 = -2*o + 4*s. Let u be (-177)\/295 - o\/30. Put -45, 1\/2, u in increasing order.\nAnswer: -45, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/35)\/((-12)\/(-84)). Sort 35, n, 5, -5 in decreasing order.\nAnswer: 35, 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 87*z - 11 - 4 in the form i*z + t and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2 + 5*n + 15. Give k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35414 + 0.32114. Is d at most 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.00000017 - -45. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016553 to 4 dps.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14578718551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u - 4. Suppose -4*a = 4*n + a + 41, 0 = 2*n + 4*a + 22. Let f be (-23 - -5)\/n*(-10)\/(-4). Let o(r) = -r + f + 0 - 3*r. Calculate -5*c(s) - 4*o(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*h + 25 = -5*s, -4*h = 3*s - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 67)*(-33)\/(-13). Let n = 175 - d. Put 1, 3, n in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*r - 20*r - 42*r + 440 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 1 = 7*i. Let l be 2 + i + 2 + 0. Suppose -z + 4*h + 4 = 2, 3*z + l*h - 36 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598 divided by -250?\nAnswer: 799\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 23, -5, -3\/29, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.3 + 2.8. Put 12, o, 0.4 in increasing order.\nAnswer: o, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 * -137.\nAnswer: 75.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 225, 90, 1, -1 in increasing order.\nAnswer: -4, -1, 1, 90, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32384404 - 0.0317941.\nAnswer: -32384404.0317941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.6 + -37.1. Let c = 6 - 13. Let k = -11 - c. What is the biggest value in v, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8311*h**2 + 59*h + 11*h**3 - 8311*h**2 - 3.\nAnswer: 11*h**3 + 59*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2, -86, 2\/3, -106, 4\/7?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*o = -12, w - 2 = -4*o + o. Let h = -18386 - -110287\/6. Is w >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9204 and -71\/8051966.\nAnswer: 48311796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 3*n**2 - 2*n + 2. Let m = -15 + 11. Let h be p(m). Is ((-53)\/(-3))\/((-2)\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 29. Let p be -17 + 14 - (0 + 2). Let m be t(p). Let c be (-4)\/(-14) - 20\/56. Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nzpyylazn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1390 = 5*g, -4*s + 6 - 2 = 0. Let a be g\/1023*22\/4. Let m be (-2)\/2 + 3\/4. What is the smallest value in m, a, 2, 1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-81)*-9)\/6. Which is the closest to -1\/2? (a) -33 (b) l (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3981770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 166346137?\nAnswer: -166346137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 46*u**2 - 6 + 1 - 2 + 5 in the form h*u + y + b*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -356 - 707*d**3 - 96*d**3 + 434*d**3 wrt d.\nAnswer: -1107*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10052929 rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 = 4*q - q, 4*q + 5*g = 19. Let z = q - 6. Solve z*f - 2 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b, 3*n = -5*b - 156 - 603. Let h = n + 330. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 64*s + 0*s**3 - 29*s - s**3 - 5 - 37*s. Let w be t(4). Solve 2*d = 5*d + w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/12 - a**2. Let n(o) be the second derivative of o**3\/2 - o. What is z(n(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021 (base 5) in base 6?\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 8:36 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z = -29*z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13458.1 + 13458. What is the nearest to 109 in o, 3, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/44 - 306\/(-8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 21, 51, 95, 153, 225?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (422\/(-4))\/((-153)\/18 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 7. Let k be ((-6)\/4 + 1)\/((-19)\/(-266)). Let q be w(k). Suppose -5*i + 1035 - 70 = -5*g, -2*i - 4*g + 356 = q. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*36\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9, -4*v + 34 = -9*v - 2*w. Let n = v + 6. Let g be (3 - -13) + 1 + n. Calculate the greatest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1100) + 1 + sqrt(1100))*-2 - (5 + sqrt(1100)*-3)) + (sqrt(1100) + 2)*4 + ((sqrt(1100) + 1)*5)**2.\nAnswer: 530*sqrt(11) + 27531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4740*f**2 - 4686*f wrt f?\nAnswer: 9480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 21*b - 16*b - 20 = 0, 0 = -y + 3*b. Sort 21, 0, y, -4, 1 in decreasing order.\nAnswer: 21, y, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 1172464*b**2 + 2344912*b.\nAnswer: 4*b*(b - 293114)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 28 - 19. Suppose -2*c - 12 = -x*c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 - 1)*(-19*c**3 + 34*c**3 - 19*c**3) - 21*c**3 + 13*c**3 - 19*c**3 in the form b*c + g*c**2 + k + v*c**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 13\/2, -1, 3, -5, -2\/133, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 + 5*w - 9. Let s be d(-7). Let a be 1128\/s + (-5 - 22\/(-5)). Let g = a - 106. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3590.999998369 - 3591. Round w to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/2)\/(w**10*w) assuming w is positive.\nAnswer: w**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.5 - 18.9. What is the fourth biggest value in 0.3, 3, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 - 10*i - 12. Determine k(7).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 82*t - 99 = -10. Suppose 5*c + 0 = -30. Let a be ((-2)\/(-3))\/(c\/9). Let z(m) = -1. Let k(w) = w + 1. Calculate a*z(j) + t*k(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 3 - 25\/5. Let u be m*(-4 + (-11)\/(-3)). Let r = 0 - 0.1. Is u greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 18736196, -0.3, -2\/9 in ascending order.\nAnswer: -0.3, -2\/9, 18736196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (2 - 18) - -18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76697959.\nAnswer: 13, 109, 113, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8829 or 8824?\nAnswer: 8829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24502, 98019, 220534, 392035, 612510, 881947, 1200334?\n\"Answer: -2*r**3 + 24511*r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:10 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h - 2. Let k(o) = o**2 - 15*o - 23. Let q be k(17). What is the remainder when (-3)\/((-12)\/(-4)) + q is divided by f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -505*y + 71. What is the hundreds digit of o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -552*i - 966 wrt i?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.77685 litres in millilitres?\nAnswer: 71776.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((sqrt(500) + sqrt(500)*-2 + 5 - sqrt(500) - sqrt(500))*5)**2.\nAnswer: -7500*sqrt(5) + 113131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**2. Let y(b) = -22*b**2. Give y(x(z)).\nAnswer: -10648*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 32 = 5*z, 0 = 3*z - 289 + 301 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times 3.5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 11*a**2 + 22*a + 74. Calculate the remainder when 54 is divided by m(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165942 is divided by 7620?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34531 - -1.57559. Let x = 0.17 - 2.1. Let p = x + n. Round p to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 0, -56, -3 in descending order.\nAnswer: 10, 0, -1, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 172. Suppose 0 = -x + 4*z + 76, z + 201 = 4*x - b. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41811 + 665?\nAnswer: -41146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:03 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 151 - 112 = -2*c - 303, -h + 59 = 3*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*n - 3*v - 0, -2*v = 5*n - 16. Suppose -52 = -4*k + 4*f - 3*f, k + n*f = -4. Let i = 20 + 2. What is the remainder when i is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.258803999 minus 1?\nAnswer: 65.258803999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.8 - -22.8. What is the nearest to -1 in 4, -2\/41, c?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -825155.9 and 5.5893.\nAnswer: -825150.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -724\/7, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 + -1)\/(-3 - -5))\/(-2). Let i(l) be the third derivative of -1\/6*l**5 + 2\/3*l**3 - 4*l**2 - 1\/4*l**4 + 0*l + q. Find o, given that i(o) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 641*j**2 - 42*j + 6. Let a(y) = -321*y**2 + 17*y - 2. Calculate 5*a(g) + 2*d(g).\nAnswer: -323*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 122696766.\nAnswer: 122696766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132)\/sqrt(3) - (sqrt(22)\/(sqrt(2)*1) - (sqrt(99) - sqrt(11))*2)) + 2)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 2*l + 2*l**2 + (0*l + 9*l - 6*l)*(4*l + 1 - 1) as o*l**2 + v*l + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.363474 meters?\nAnswer: 3363474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262 (base 10) to base 13.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/84)\/5*-9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213 - 208. What is the biggest value in 0, p, -0.146?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 26. Let z be y(5). Let d(s) = 5*s**2 + 5*s - 1. Let p(v) = -14*v**2 - 14*v + 3. Calculate z*p(x) + 11*d(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2142*c**2*r - 7*c**2 - 362*c*r**2 + 36228551*r**2 wrt c?\nAnswer: -4284*c*r - 14*c - 362*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 12*v - 8)*(-v**2 - 12 + 12 + v**4) + (14*v**3 + v**4 - 2*v**2 - 14*v**3 - 5*v)*(-v + 0*v - 7*v).\nAnswer: -20*v**5 + 28*v**3 + 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 - 23 + 6*j**3 + 21 - 3*j**4 in the form f*j + a*j**4 + p + y*j**2 + c*j**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-120)\/27))\/(6\/(-8)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 1:16 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 26*h - 93. Let s(n) = -n**2 + 6*n - 23. Determine -2*r(d) + 9*s(d).\nAnswer: -d**2 + 2*d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -234.6501?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 13*c**2 + 9*c + 7. Let q(z) = -2*z + 25. Let u be q(9). Let w be n(u). What is the tens digit of (w\/8)\/((-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2598 (base 11) in base 12?\nAnswer: -1b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 - 25 - 77 - 6 + 16*i to the form a + d*i and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - -4174078\nAnswer: 4174077.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4399 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3860\/41 - 5685159\/60352. Find the common denominator of k and -47\/16.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8185?\nAnswer: 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x - 4*x + 2*k, 30 = -5*x + 4*k. Let o = 0.85 - 0.45. Which is the closest to x? (a) o (b) -0.2 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z - 29*z = -18*z - 11274 + 2226 for z.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.9313995 + -73.4314. Let y = l + 0.5. What is y rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 + 83 = g, -5*o = 2*g - 53. Let c(h) = -g + 20 - 7*h + 18. Let l(f) = 29*f + 4. What is -26*c(u) - 6*l(u)?\nAnswer: 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202476768*q**3 - 357184412*q wrt q.\nAnswer: -1214860608*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 79 = 439. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 11*a**9\/3024 - a**5\/20 + 9*a**3 + 28. Let m(r) be the third derivative of h(r). Find the second derivative of m(y) wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 38 + 53 + -101?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {t: 10, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 263*r\/2 - 96530\/3.\nAnswer: (r - 196)*(r + 985)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 + -11 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-48))\/((-45)\/(-60))*-142*-1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -0.08, 3\/2, -43\/116, 3 in increasing order.\nAnswer: -43\/116, -0.08, 0.07, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/4*48\/18. Suppose 2*z - g = 4. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4015 by 803.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37781 = -7*w + 162930. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -4.2. Let z = -4.241 - c. Let m = z - -0.165. Round m to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5)*g)\/g**(-2\/5)*g**(-6)*g**(-3\/2) assuming g is positive.\nAnswer: g**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d = -18*d - 229 - 230 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 - 3*d - 10. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 2 - 2*b**3 - 2*b + 5 - 3*b**3 to r*b**2 + n*b + u + z*b**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b + 4164 - 5797. Solve -5*i + 41 = b for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13671 and 1353057.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.97 in -167, 2, 4, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39e39 (base 16) to base 9.\nAnswer: -401228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tccr when four letters picked without replacement from crrtrcrrttrr?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2*a**2 + 3*a**2)*(-a**2 + a**2 + a**2) + 4*a**4 - a**4 + 0*a**4 + 29*a**2 + 106*a - a**3 - 30*a**2 - 105*a - 255*a**4.\nAnswer: -250*a**4 - a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3144 = -716*t + 280 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/10 - 401\/20. Calculate the common denominator of w and -48\/41.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-57))\/(9\/(-27)))\/(5\/20*-4)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 12*n + 9. Let y(i) be the first derivative of -2*i**3\/3 + 6*i**2 + 9*i + 8. Let x(o) = -5*t(o) + 4*y(o). What is g in x(g) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1912*k - 1888*k + 216 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let b(k) = k**2 + 2. Let g be 2\/4*(3 + -1). Let i(h) = -1. Let f(m) = g*b(m) + 2*i(m). What is f(q(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 2*h + 2*h)*(h - 9 - 3*h + 4).\nAnswer: 8*h**3 + 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 410\/25 + (-4)\/10. Which is bigger: 50\/3 or v?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 56 = -n + 3*n, -5*o - 176 = -4*n. Let x = o + 56. Calculate the lowest common multiple of 3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 16. Let u be n(-3). Let c = 13 + u. What is the remainder when 51 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/3*(-2)\/2. Let l = -1 - w. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2*z**2 - 135496*w**2*z - 4*w**2 + 710*w*z + 13*w - 11*z**2 - 3*z - 1 wrt w?\nAnswer: -2*z**2 - 270992*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/2)\/((-3)\/(-48)). Let m be (y\/(-12) + -5)*0. Factor 8\/5*z**3 - 2\/5*z**2 + m*z + 0.\nAnswer: 2*z**2*(4*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k = 101*k - 2*y + 12, 24 = 5*k + 3*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 23*h + 0 + 3 + 5 - 5 + 0.\nAnswer: -3*h**2 + 23*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 4*h**2 + 1 + 6*h**2 - h**2 - 2 + 2 + (-2*h - 4*h - 7*h)*(3*h - 2*h + 0*h) + 2*h**2 + h - h to s*h + g*h**2 + w and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18065149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**2 + 7*r - 7. Let c be (-2 - 3\/(-2))*-10. Let f(i) = -3 - 2 + 5*i - 4*i**2 - 1 + 1. Determine c*k(t) - 7*f(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/42 + -3\/14. Let u(c) = c**3 - 2*c**2 - 4*c + 4. Let v(l) = 4*l**3 - l**2. Let q be v(1). Let s be u(q). Sort s, w, 0.5.\nAnswer: w, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 2*w + 4*w - 12, 0 = -0*u - 5*u - 6*w - 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. Let h(u) = 36*u + 32. Let o be h(-3). Let g = r - o. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105750 and 120.\nAnswer: 423000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/64 - 4\/(-112). Which is the fourth smallest value? (a) -0.03 (b) k (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*y + 8, -y - 5*o + 1 = -3. Let l be (-1)\/(((-5)\/y)\/(-5)). Let b = 6 + l. Solve 2*m - 6 = -3*n, -3*n = -b*n + m - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/7)*g**(-4))**(-1\/63)*((g\/g**(1\/3))\/g)**24\/(g\/(g\/(g\/(((g\/(g*g**2))\/g)\/g*g*g))))**43 assuming g is positive.\nAnswer: g**(-60383\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0639 - -0.0339. Which is greater: k or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s*s)\/(s**(2\/13)*s*s)*s**(-8)\/s**(2\/33) assuming s is positive.\nAnswer: s**(-4382\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -14 + 8 + 22 + -14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 - 15354210*u**2 - 19645965039456*u + 39291991495776 = 0.\nAnswer: -2559036, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 - 78912324*z**2 - 604731314*z wrt z.\nAnswer: -40*z**3 - 157824648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 14*r**2 - 5*r - 5. Let y(u) = u**3 - 8*u**2 + 5*u + 5. Let i(m) = 3*y(m) + 2*z(m). Determine i(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 733192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1220281, 2440520, 3660747, 4880962, 6101165, 7321356, 8541535?\n\"Answer: -6*h**2 + 1220257*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u. Let r(m) = -238*m**3 + 4*m**2 - m + 86. Let a(w) = -o(w) + r(w). What is the derivative of a(y) wrt y?\nAnswer: -717*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 3 - 22)*(1 - 1 + 2*m).\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3*(-8)\/18)\/4)\/(8 - 4592\/576)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4 + 6 - 16*a + 4*a + 75*a**2 + 2*a. Let j be r(2). Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 11*a - 22. Determine n(-14).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (-75)\/(-5) - 3*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 63*a**2 + 113*a - 253. Let i be q(-3). Factor 280\/19*g + 2\/19*g**i + 9800\/19.\nAnswer: 2*(g + 70)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 + 6*u - 6. Let j be o(3). What is the remainder when (-59044)\/(-174) - (-2)\/j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.3 - 12.282. Let u = -0.182 - i. Sort u, -1\/2, 3\/5, 2\/9 in descending order.\nAnswer: 3\/5, 2\/9, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -31 - 26289\/889?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000868 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 5*h**2 + 3*h - 8. Give m(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6*123)\/(-1). Suppose 0 = -o + x - 9. What are the prime factors of o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - r - 2*r + 4*r)*(-2 + 1 + 60*r - 51*r).\nAnswer: 9*r**2 - 28*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.092 (b) -0.3 (c) 0 (d) -0.5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -2 + -5 + 2. Let w be v + 2*2\/(-8). Let x = -1.5 - 1.5. Put 1\/10, w, x in increasing order.\nAnswer: x, w, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 15, 3*j - 2*b = 5*j - 16. Solve -2*n = 4*a + 18, 6*a - 3*a + 21 = -j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-20) + (-61691)\/(-28). Let o = y - 1511. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 + -15.1. Let k = 19 + x. Let z = k + -16.9. What is z rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**0\/x*x)**(-21\/4)*(x*x**1*x*x)**(13\/5))**(-1\/22))**(19\/7) assuming x is positive.\nAnswer: x**(-1957\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -0.52?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-11)*k)*k**(-2))**(-6\/19)\/((k*k**(-2\/9)*k\/k**1)\/(k**(1\/8)\/k*k\/k**5)) assuming k is positive.\nAnswer: k**(-11621\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {t: 1, x: 1, k: 2, p: 2, d: 12}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 106, 445, 1104, 2167, 3718, 5841, 8620?\n\"Answer: 14*w**3 + 76*w**2 + 13*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0783770701 - 1.2\nAnswer: -1.1216229299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5 - 5)*(z**3 + z**3 + 0*z**3 + (-2*z + z + 0*z)*(-5*z**2 + 0*z**2 + 3*z**2) - 2*z**3 - z**3 + 0*z**3).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2 take away 1.1?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 - 3*g + 192 + 16*g**2.\nAnswer: 16*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382381.\nAnswer: 7, 11, 13, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 52*z**2 + 52*z - 47. Let h be k(25). Suppose -8*i - 4*n = -h*i - 14, 0 = 3*i - 2*n - 4. Let g(w) = -w**3 + 4*w**2 - 4*w + 2. Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 6*r + 8. Let y be z(7). Suppose -o + 0 + 1 = 0. Let l(u) = 2*u**3 + u**2 - 3*u + 1. Let s(j) = -j**2 + j + 1. Determine o*s(a) + y*l(a).\nAnswer: 2*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 times 0.1\nAnswer: 0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 2*x**2 - 2*x + 1. Suppose 5*b - 5*y = -20, 3*b + 5*y = 4*y + 8. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(396)\/sqrt(704))\/sqrt(4))\/(sqrt(6)\/sqrt(50) + (sqrt(6)\/(sqrt(6)\/sqrt(3)) - sqrt(3))).\nAnswer: -2 + 5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 11. Let f = -9 - -3. Suppose -d + 0 = -1. Let p = f + d. Calculate u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 278*l + 271*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*14\/8 + 12. Let y(v) = 8*v - 6. Let w(o) = 9*o - 7. Suppose 5*x + 14 = 2*x - 2*m, -28 = 4*x - 2*m. What is l*w(q) + x*y(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 47*w**2 - 7*w + 37. Suppose 253 = -26*k + 3*k. Is v(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/20)\/(3\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 4*q - 7. Let j be t(8). Suppose 2*o + 17 - j = 0. Calculate the highest common factor of 38 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + f - 15, 14 - 8 = -5*b - 3*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9445, -18904, -28359, -37810, -47257, -56700?\n\"Answer: 2*u**2 - 9465*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/6, -2\/5, 1\/431, 0 in descending order.\nAnswer: 1\/431, 0, -2\/5, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l + 16. Determine g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1575 - 1573. Solve 3*a - i*n = -27, -7*a - 5*n = -11*a - 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2\/(-2) + 1. Let v be r + 1 + 2*-3. Let a(i) = i**2 + 5*i + 4. What is the tens digit of a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 130 = -h - 4*h, 0 = -2*b + h + 50. Suppose -14*w + b = -11*w. Let y be (w - 158)*(-131 - -1). Round y to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 657786 - -2?\nAnswer: 657788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - -211. Suppose 4*f - 5*f - 489 = -j, 0 = 4*f - m. What are the prime factors of j?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 0 + 0*b - 1\/2*b**3 + 5\/24*b**4 + 14*b**2. What is h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 153 = -38 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-7))\/(6\/21). Let i be 3\/(26\/b + -2). Let w = 8 - i. Solve -a + 1 = -w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43551 * -0.6.\nAnswer: 26130.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1734 + -1?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.257788465 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16)*(-232)\/261)\/(3*-1).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225840*g - 225840*g - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:33 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 16 - 9 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6501 + 6508. Let f = -2.8 + -13.2. Are o and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.414 - -0.086. What is the second smallest value in 3, -16, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -332323050 to the nearest 100000.\nAnswer: -332300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44389110 divided by -365.\nAnswer: 121614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/4, 2\/9, 3, 0.02?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 341\/(-93) + (-2)\/6. Let p(j) = j**2 + 2*j - 1. Let m be p(4). Let z = m - 89\/4. Which is the third biggest value? (a) x (b) 2\/13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2430 and -5\/9.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 35*x = 4*d - 114, -2*x + 102 = 3*d. Solve 0 = -d*u + 84 + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 48*y + 6. Let c(v) = -2*v**2 + 30*v - 12. Let n(p) = -p + 1. Let g(d) = 2*c(d) + 28*n(d). Let r(u) = -8*g(u) + 5*t(u). Is r(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -11233?\nAnswer: -4\/11233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-35)\/(-10)*(-5)\/(-70). Let b(j) be the first derivative of j - m*j**2 - 3. Find the first derivative of b(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1 (c) 4 (d) 10.06 (e) 18655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) -0.1 (b) 572 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 345450*j**2 - 18668115*j + 52895160.\nAnswer: 5*(j - 51)*(j - 3)*(j + 69144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 + 46 = -n, -67 = n + 4*i. Let c = n + -21. Let u = -76 - c. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**32 assuming t is positive.\nAnswer: t**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.1 (b) 0 (c) 7905\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/12713 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39.3 times 1.9\nAnswer: -74.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211268 is divided by 146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 174, 1527, 2?\nAnswer: 1527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 17 (c) -9 (d) 5912 (e) 2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.359 - -0.259. What is the third smallest value in -0.02, p, -0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + (-22 + (3 - -33) - 45)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5830.391 - 5786.9. Let n = -0.491 + q. Sort n, -1\/8, -0.1 in descending order.\nAnswer: n, -0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32983239 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 21*h + 6*h + 6 - 6.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 0.06. Let n = h - 0.02. Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - 3. Let q = 28 + z. Sort -4, -2, q in decreasing order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/81 (b) 2 (c) 5\/2 (d) -5 (e) 0.2 (f) 205\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/27, -3\/2, 0.1, 40?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27667 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + (8 + -18 - 27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19345 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 36, -1\/10 in ascending order.\nAnswer: -5, -2, -1\/10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (186\/12 + -7)\/((-3)\/(-18)). Which is bigger: 101\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 9, q: 1, o: 3, t: 1, k: 2}. What is prob of picking 1 k and 2 p?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:55 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 476*c + 91332. Calculate p(-192).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*s - 72, 5*s + 5*y = 9*s - 130. Suppose 13 = 6*b - s. Solve -10*v + b*v = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.05, -5, -4, -110?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from {j: 13, l: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - t. Suppose 6*p - 43*p + 0*p = 17*p. Solve t*o + 2 - 10 = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1032)\/35 - (-6)\/21. Let f = r - -29. Is 0 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*m = 2, 21*u - 2*m = 22*u - 12. Calculate the greatest common factor of 55 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665645 divided by -5.\nAnswer: -133129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 21 = -1. Let p be ((-8)\/o)\/((-2)\/25). Let f(t) = -7*t - 1. Is f(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 2, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1262203*f**3 + 25*f**2 - 1012*f + 12?\nAnswer: 7573218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*n - 700 = -1102*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbw when three letters picked without replacement from {u: 4, g: 1, w: 2, b: 8}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q - 1. Let r be s(-2). Let i be (0 - r)\/(1\/(-4100)). What is i rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3310 times 267?\nAnswer: -883770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3 + 102*g - 565 wrt g?\nAnswer: 6*g**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111112000 (base 3) in base 5?\nAnswer: 1421123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2)\/z)**(2\/37))**(2\/61) assuming z is positive.\nAnswer: z**(-8\/2257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 133 times 73502\nAnswer: 9775766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(160) - (-2*sqrt(160)*1 + sqrt(160)) - (-2*sqrt(160)*-2 - sqrt(160)))\/((-2*sqrt(72) + sqrt(72))*-4).\nAnswer: -2 - sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2\/3, -1.0384?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/17, 10.38, -222?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365581009, 731162021, 1096743033, 1462324045?\nAnswer: 1827905057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -11072?\nAnswer: 210368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 739.249 weeks in days?\nAnswer: 5174.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -247 - 2?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 89642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 704858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 5*g = 75, 0 = 2*b - 8*g + 10*g. Sort -2, b, -100, 1 in ascending order.\nAnswer: -100, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.3, 0.257, -12070?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 165178 = u, 2*n - 34*u = -39*u + 66085. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2. Let a(w) = 91423308*w**2. What is a(d(o))?\nAnswer: 365693232*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/((a\/a**(-1\/9))\/a)*(a\/(a*a**6))\/a*(a**(3\/2)\/a)\/a)\/((a\/a**0)**(-14)*a*a**(2\/11)*a\/a**3) assuming a is positive.\nAnswer: a**(437\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 times 198?\nAnswer: 3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(3*k - 2*k + 6*k)*(3 - 3 - 2*k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 9 = s - 22*p, -10*p - 57 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1*sqrt(175) + 0) - (1 + sqrt(175) + -1 + -2)) + (-1*sqrt(175)*1 - 4*2*sqrt(175))*-4 + 4)**2.\nAnswer: 2040*sqrt(7) + 202336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1561 = 3*k + 124. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 46 - 41)*(-24*s**2 - 3*s**4 + 24*s**2) to the form m + n*s**3 + x*s**4 + d*s + y*s**2 and give x.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 96 = -278. Suppose -285 = 23*c - t*c. What is the highest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*t + 12, 4*p - 3*t + 0*t = 5. What is the third derivative of -5*w**2 + 4*w**p - 14*w**3 + 6*w**3 wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910 + -909.242. What is n rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -18. Let v = -7.0000192 - k. Round v to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-1 + -1 + 144 + -110)) + 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8552306 days in nanoseconds?\nAnswer: 73891923840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.181 times 0.1\nAnswer: -0.5181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (240\/(-36) - 2)\/(87\/(-27) + 3). Calculate the highest common factor of 1339 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -71) + (10\/7)\/(2200\/3080)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011921433 rounded to 7 decimal places?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = n + 12, -85362 = 4*h - 3*n - 85376 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -58, -64, -70, -76, -82?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*o - 200, h = -3*o - o - 400. Round o to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 9, a: 2, d: 5, c: 2}. What is prob of picking 2 f and 2 c?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.4 + -1.4. Let w = -31755.4 - -31755.6. What is the biggest value in w, n, 0.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 79, 70, 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*5.93\nAnswer: -0.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14358 = 31*q - 34*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 15*g. Let m(v) be the first derivative of v**3\/3 - 3*v**2 + 5*v + 1. Let a be m(5). Solve a*w + w = g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2241451044 + -2?\nAnswer: -2241451050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -475*j**4 - 18*j - j**6 + 5*j**2 + 60*j**5 + 0*j**6 + 475*j**4 wrt j.\nAnswer: -120*j**3 + 3600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 4*o**2 + 8*o - 5. Suppose 0 = 4*s - 8, 5*c - s - 93 = 580. What is the least common multiple of c and d(5)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5806764 is divided by 215065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 15. Let u be l(6). Suppose -i + u*p + 14 = 0, 5*i + p = -0*p + 22. Solve -i + 2 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + q + 19, -5*t - 77 = -4*q - 0*q. Let n = 19 + t. Suppose 3*b - 7 = n*k, -4*b + 9 = k - 15. Is k at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11106.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 44 = 0. Suppose -2*f + 21 = -h. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v - 922. Let o(j) = j + 210. Let c(k) = -4*o(k) - r(k). Calculate c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*d**5 + 5*d**2 + 3*d**2 - 39*d**5 wrt d?\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 20393257.\nAnswer: 5\/20393257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -43, -70, -117, -190, -295, -438?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 + 6*a - 6. Determine s(-6).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.32. Let u = -0.77 + b. Round u to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31568 - -16518. Is h greater than -15049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 3*p**4\/8 + p**3\/6 - p**2. Suppose -5*a - 58 = -4*z, 7*z - 5*a = -11*a - 46. Give u(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/3, 40, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 969.67992.\nAnswer: -969.27992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*z + 3402. Let s = z + -379. Let f = 4 - 9. Which is the second smallest value? (a) s (b) f (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 204\/595*10\/68. Let a = 4\/17 + j. Sort a, 1, 8 in descending order.\nAnswer: 8, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + 0.02. What is the closest to -2\/9 in 1, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, i: 4}. What is prob of picking 4 i?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156468 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3494 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - b. Let k be z(1). Let x(w) = -4*w - w**k + 2 + w + w**3 + w. Let g be x(2). Solve -a = -g*h - 3, 2 = 2*a - 0*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -219043*k**3*n**3 + 5*k**3 + 10*k**2 + 221*k + 37*n**3 - 174 wrt n.\nAnswer: -657129*k**3*n**2 + 111*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/11, 1, -380, -5, 0.1, -4, 7 in descending order.\nAnswer: 7, 24\/11, 1, 0.1, -4, -5, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97710107.\nAnswer: 11, 109, 227, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7490 divided by 35.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l - 46*l + 45 - 253 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454 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: What is (-6)\/16*-12*(-8)\/(-16)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2224.2615 hours?\nAnswer: 92.6775625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*1 - (-1 - -2). Suppose 67*y = 65*y + 8. Suppose a - 2*h - 49 = 0, a - j*h + 165 = y*a. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -816 (base 11) to base 10.\nAnswer: -985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -608 (c) -3.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = b - 5*n, 3*b - 2*n - 2327 = -642. Does 565 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a + 11. Calculate c(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-520)\/143*2\/(-15) - 10\/15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 18) + 15 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 7*g**2 - 11*g - 38. Suppose -151*c = -150*c + 3. Let q be o(c). Solve 3*d - 5*h - 7 = d, 9 = q*d - 5*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -599 + 1198 - 597 - 73*d to y + j*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -72*u - 28. Let m(y) = -8*y - 3. What is -28*m(q) + 3*z(q)?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 18, -43.5, 0.3 in decreasing order.\nAnswer: 45, 18, 0.3, -43.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514531 is divided by 52225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 - 53 - 4*f)*(4*f + 5 - 5 - 8 - 4*f + 8 + (4 - 3 - 2)*(3*f - 2*f + 0*f) - 3*f - f + 3*f) as u + x*f + n*f**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 8. Let o be g(13). Suppose o*h + 1 = 11. Solve h*c + 4*k = -0*c - 10, -5*c + 5*k + 50 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at most 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5. Let i = 5 - q. Suppose -3*u + 5*y + 13 = -12, i*u - 18 = -y. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 16840*c**3 + 5*c**2 - 58394*c**3 - 39048*c**3.\nAnswer: -114282*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Suppose q = -4*n - n + 37, -5*n = -5*q - 55. Let c = o + n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1528 + -426. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26345 + 6?\nAnswer: -2633a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 14\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-2*sqrt(10))\/sqrt(5)) + -4 - (sqrt(72)\/sqrt(108))\/sqrt(3))**2.\nAnswer: -64*sqrt(2)\/3 + 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -1\/24*m**4 - 5\/2*m**3 - 1\/60*m**5 + 2*m**2 + 0 + 0*m. Suppose -4*n + 20 = -4*h, 6*n - n = -5*h - 25. What is y(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13543*z + s + 7 = -13541*z, 0 = 6*s + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -q + 113, 4*q - 435 = 2*b - b. Let z = q - 72. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 165 = -2*g, -12*g - 90 = -13*g - x. What is the remainder when g is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29584339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.97574t in grams?\nAnswer: 73975740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-15) + (-4)\/6. Factor -1\/5*l**2 - 1\/5*l + x + 1\/5*l**3.\nAnswer: (l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-274)\/(-18) + 12\/(-54). Suppose -2*n = -5*n + 282. Let s = n + -49. Calculate the highest common factor of s and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*o**3 + 4815*o**2 - 3 - 2 - 4790*o**2 to the form s*o**2 + b*o**3 + u*o + k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 + 4*o - 8. Let k be d(-6). Suppose 13 = -k*w + 5*q - 4*q, -4*w - q - 19 = 0. What is the smallest value in 4, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4878 and 19\/45?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 + 2*v + 3. Let y be a(3). Let b = 1 - -3. Suppose -b*w + y*w = -2*p + 4, p + w = 11. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from {q: 1, r: 1, s: 1, p: 1, x: 2, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 480.1 - 480.4. Which is the fourth smallest value? (a) 6.6 (b) 2\/5 (c) 2\/7 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*o - 5*v, 0 = -2*o + v - 2 + 8. Let t = 0.08 + 22.92. Let z = t + -23.2. Which is the biggest value? (a) -3 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.61, 56, -3, 0.11, 0.4 in increasing order.\nAnswer: -3, 0.11, 0.4, 1.61, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 21*g - 14. Let z be v(20). Suppose -22 = -a + 3*s, -39 = -4*a - 3*s + 4. What is the first derivative of z*r**4 + a + r**4 - 3 - 4 wrt r?\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15.82197um?\nAnswer: 0.01582197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -371 + -2?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 20, 30, 44, 62, 84, 110?\n\"Answer: 2*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/42 + -11\/21. Which is the nearest to -1? (a) -0.4 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-1 + 2)) + 3. Suppose -5*h + t = -2*h. Let j = 282\/469 - 2\/67. Is j < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 506511?\nAnswer: -151953.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -363 (base 7) to base 3\nAnswer: -21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14570 - -14570. Let c(g) be the second derivative of 5*g + 0*g**4 - 1\/80*g**5 + 1\/168*g**7 + n*g**2 + 0 + 0*g**3 + 0*g**6. Solve c(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 6*o**2 + 5*o + 2. Let z = 1 + 3. Calculate m(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003964469 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.421 - -17.921. Let y = -0.1 + 0.1. Let g = y + 0.2. Which is the nearest to -6\/11? (a) o (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34002 (base 6) to base 4.\nAnswer: -1022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = d + 45, -4*d = w + 2*w + 44. What is the units digit of (-1)\/(-4) + (-6)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 609*l - l**2 + 649*l - 1 - 2*l**2 - 1314*l as p + k*l + j*l**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose 3*a + 4 = -w + 18, 3*w = -3*a + 18. Suppose 0 = -2*o + t + 11, 7 = a*o - 3*t - 10. What is the greatest common divisor of o and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:24 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92407)\/(-126420) - (-10)\/525?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6038629436 to the power of 1\/3, to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/518 and 1\/3329741?\nAnswer: 46616374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = j, -5*j - 2*w + w = -27. What is the biggest value in j, 0.2, -5, -2, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025054799 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51052 - 4757 = 2885*f - 96799 - 67511 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v*v**(-26))**(4\/3) assuming v is positive.\nAnswer: v**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 0.2, 6437.52, -4, 1\/12, 3?\nAnswer: 6437.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -933 = 15*d - 17448. What are the prime factors of d?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -71683891?\nAnswer: 28673556.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16184 + 15920.68. Let u = 269 + p. Round u to one dp.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - -0.5. Suppose -10 + 30 = 5*i. Let f = -3 + i. Which is the nearest to 1? (a) p (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2 + 57d?\nAnswer: 61f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 4)*(-4 - 1 + 6) + 4 - 2 - 4)*(-163*s + 442*s - 159*s)*(0 + 1 + 0) + 4*s - 6*s - 3*s.\nAnswer: -125*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -26. Suppose -i = w + h, -5*h + 2*h = -w - 27. What is the common denominator of -59\/2 and 39*(-3)\/w + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5407114, -5407113, -5407112, -5407111, -5407110, -5407109?\n\"Answer: y - 5407115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/5 - 49*d**2\/5 - 1092*d\/5 - 396 = 0.\nAnswer: -15, -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.0991 + 1541.1132.\nAnswer: 1529.0141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*o**3 - 43045*h**3*o + 820018*o**6 - 2*o**2 + 18*o wrt o?\nAnswer: 6*h**3 + 98402160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -2 + -2 + 1. Let y be (r\/(-4))\/(2\/96). Suppose g - y = -2*g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o + 12. Give w(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 28 + 1 - (-6 + 1 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyv when three letters picked without replacement from oynnpuvoppuo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 116, 347, 808, 1577, 2732?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 17841957933016.\nAnswer: 17841957933016.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14425039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 11*d + 0*d**3 + 0*d**2 + 2\/3*d**4 - 2. Let h(t) = -8*t. Give n(h(r)).\nAnswer: 512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 6*a + 7. Suppose 0 = l - 3*z - 7, l - 5*l + 2*z = -28. Does 13 divide m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -k - 2*k + 6, 3*k - 42 = -5*v. Suppose 11 = -3*j + 2*i, -3*j + 4*i - i - v = 0. Let h(c) = 2*c + 6. Calculate h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n + 408. What is o(-1)?\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p + 1 + 0)*(-7*p - 4*p - 11*p + (3 + 2 - 6)*(0*p + 2*p - p)).\nAnswer: -69*p**2 - 23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((2 - 0) + 0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i**5 + 94944*i**4 + 2661387*i**3 - 1006134*i**2 - 17034816*i + 15284640 = 0.\nAnswer: -28, -20\/7, 1, 2, 4549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d + 6. Let n be w(0). Suppose f - 3*f = -n. Let x be f - (-1 + 3)\/(-2). Solve x = b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3722193 or 0.9?\nAnswer: 3722193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 0, -15 - 7 = 4*y + 2*v. Suppose -5*d = 14*d - 1976. Let l be (d\/(-36) - 4) + 7. Sort y, 1, l in descending order.\nAnswer: 1, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3534159090?\nAnswer: 2, 3, 5, 7, 11, 83, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.1 - -8. Suppose 5*s + 36 - 7 = -3*w, -3*s = 2*w + 18. Let h be s\/(-3)*27\/(-24). Put m, 0.4, h in decreasing order.\nAnswer: 0.4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1544500 - 113313?\nAnswer: -2102213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100068 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1380 and 300.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6972\/(-5229))\/(80\/6)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060826 to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, p: 11, x: 2}. What is prob of picking 2 p?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102979*-153\nAnswer: 15755787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.011 - 0.411. Let w be (-4)\/8 + 14\/(-4). Sort w, 5, c in descending order.\nAnswer: 5, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16.47, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 8*u + 11. Let k be p(-4). What is the closest to -2 in -0.4, k, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 695*w - 2*w**2 - 689*w + w**4 + 2 + 0*w**2 to the form x*w**2 + s*w**3 + p + t*w + m*w**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 30\/(-9))\/(2\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 54*h**3 + 63*h**3 - 5*h + h.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-16) + 6)*(-592)\/(-333)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 17*a**2 + 8. Let l be h(-17). Suppose -p = -l*p. Solve 0*g - 2*g + 6 = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-70)\/(-10)*1. Let b(l) = -27*l**3 + 5*l - 5. Let t(h) = -148*h**3 + 28*h - 28. Determine c*b(n) + 5*t(n).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5639 and 201881839.\nAnswer: 5639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0108348 to five decimal places.\nAnswer: -0.01083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t**3 - 32*t - 6. Let q(f) = -26*f**3 + 62*f + 11. Determine 11*a(u) + 6*q(u).\nAnswer: -2*u**3 + 20*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54506 + 54506.00027867. What is g rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:50 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1239056, 4956232, 11151530, 19824950?\nAnswer: 30976492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 36 - 1. Factor -34*t**g + 33*t**5 - 3*t**3 + 3*t**4 + t**4.\nAnswer: -t**3*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/15 + 1268\/(-12). Let x = q - -61. Let k = x - -56. Calculate the remainder when 17 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25 = z. Suppose 1 = -3*l - 11, -l - 49 = -z*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025306.\nAnswer: 2, 421, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -8*y - 20. Is 2 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*y = 2*b - 96, 5*y = -b + 69. Is b a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 + f**2 + 0*f**2 - 7*f**2 - 2*f**3. Let l(w) = -2*w**3 - 7*w**2 + 2. Let j = 4872 + -4875. What is j*l(b) + 4*i(b)?\nAnswer: -2*b**3 - 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(798\/171*2\/140).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 - 62\/372. Solve -17*y - 6*y - 69 = x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 47 - 49. Solve -5*f = -4*x + 7, f + 3*f + 2*x = -a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 f, and 1 r when four letters picked without replacement from fruur.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 20*k - u - 4, 0 = 5*k + 4*u + 16. Solve -30*i + 35*i - 20 = k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99948.06 litres in millilitres?\nAnswer: 99948060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8944 - -8948. Sort 3\/4, 1\/6, 1\/8, z in ascending order.\nAnswer: 1\/8, 1\/6, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 50, 79?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 32 = 4*y. Let j be 113 - -8*(-990)\/240. Calculate the greatest common factor of j and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/40*20\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 431531 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c, 17 = -f - 2*c - 172. Let x = 338 + f. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 47*x + 1087. Let i be r(-23). Solve -90 = -i*k + 36*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634*-5272.\nAnswer: -3342448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b + 2*x, 5*b - 3*x = x - 31. Let a be b - 6*(1 + -2). Find the second derivative of -8*h**3 + 4*h + h**a + 7*h + 0*h wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(3*32\/(-36) - (0 + -2)). Solve 2*m = h*c + 20, -5*c - 4*m = -0*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 1648*x**2 - 1642*x**2 + 3351*x**2)*(-1 + 1 + 2).\nAnswer: 122*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3550 and 781.\nAnswer: 39050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 14. Let g = 32 + r. What is the units digit of 75\/10*8\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296095.6 centimeters to kilometers.\nAnswer: 2.960956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y - 52. Let c(g) = -18*g - 107. Let d(f) = -3*c(f) + 7*v(f). Let m(l) = -35*l. Calculate m(d(i)).\nAnswer: 70*i + 1505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*m**5 - 96*m**3 + 45*m + 2442 wrt m?\nAnswer: -1800*m**3 - 576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 12*z - 14. Let s be n(-13). Let v be 10\/(-20460)*(3 - s). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12759 + 10?\nAnswer: 12769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 236523?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6140*j. Let l(o) = 2*o + 1. Determine l(t(d)).\nAnswer: -12280*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 608291 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31.2835um?\nAnswer: 31283.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 12*r**2 - 12*r + 3. Let a be g(-12). Suppose -12*c + a + 429 = 0. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*o - 4*k, 129*o - 437 = 258*o + 10*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 5, -5, 64 in decreasing order.\nAnswer: 64, 11, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let m(h) = -3*h. Let f(v) = -24*v. Determine u*f(p) - 33*m(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187469083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 divided by 47?\nAnswer: 223\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - j - 48, 2*a - 100 = -0*a - 2*j. Suppose a + 16 = 5*y. Suppose 6 = 15*k - y*k. Solve 4*m = -4*q + 16, 5*q - k*m = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*k*t**2 - 21*d*t**2 + 5*k*t**2 - 21*k wrt d.\nAnswer: -k*t**2 - 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -112?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2518 divided by -1?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0.03. Let u = d + -0.42. Let q = 0.40072 + u. What is q rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 2, v: 2, r: 6}. What is prob of picking 3 r?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -132282 + 3.86?\nAnswer: -132278.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103 - -82?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**3 + 96*j**2 + 60*j - 8. Let n(l) = 11*l**3 + 144*l**2 + 85*l - 12. Let c(m) = 8*g(m) - 5*n(m). Find the second derivative of c(a) wrt a.\nAnswer: 6*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8800 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1366 - 5590 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**4 + 2*f**2 + f**4 + 0*f**2)*(276 - 276 + 16*f).\nAnswer: -128*f**5 + 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -5893797.\nAnswer: -38\/5893797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:38 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3951833.\nAnswer: 379, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*b + 584 - 68 - 66 = 0. Put 0.4, -5, 127, -2\/13, b in decreasing order.\nAnswer: 127, b, 0.4, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 17146978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255986 + -255985.890003. Let r = 3.4 + -3.29. Let i = o - r. Round i to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 859162 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/17 - 52*r**2\/17 - 8*r\/17 + 208\/17 = 0?\nAnswer: -2, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 2*r**2 - 7*r**2 + 4*r + 1 + 0*r**2 + 4*r**2. Give n(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 2*u, -3*l = -3*u - 27. Suppose 54 = -2*o + l*o. Calculate the lowest common multiple of 8 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(12)\/sqrt(36)))\/(-2*sqrt(81) - 5*sqrt(36)\/sqrt(4)) + -3.\nAnswer: -3 - 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 753 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14314383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68\/3 - -731\/30. Let l = -37821\/9878 + 66\/449. Find the common denominator of t and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 12}. Give prob of picking 2 k and 1 z.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3448777194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291102 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.201951 - 922.\nAnswer: -921.798049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/227? (a) -0.1 (b) -2\/5 (c) -334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 + (5 - 4) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4898032?\nAnswer: 2, 107, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486745 is divided by 20261.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 520 + -515. Let l be ((-20)\/g)\/((-4)\/18). Solve -4*c = l - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5 + 3*y + 8 - 5*y + y. Let j be r(3). Suppose -22 = -j*n - 2*n. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1742)\/(-65) + ((-4)\/(-5))\/4. Suppose -x*t = -24*t - 2784. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405507?\nAnswer: 3, 29, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2480297 and -1?\nAnswer: 2480297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198744749 - -198744797.2716809. Let j = m + -49.77168. Let o = j + 1.5. What is o rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*p = -256*p - 799 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/594 and 149\/4374?\nAnswer: 48114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - (-12 + -3 + 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -2\/3 (c) -3 (d) 5 (e) 7 (f) -6689\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2737*-0.03\nAnswer: 82.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89247 is divided by 983?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3402) + (sqrt(3402)*1 - sqrt(3402)))\/((sqrt(66)*-1 - sqrt(66))\/sqrt(11)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/97856 and -47\/97856.\nAnswer: 97856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5113*p + 178970. Determine m(35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 466 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/24)\/(-126 + 98 + 714\/27)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*p + 4320 + 8*p + 10552 - 2966 + 11860*p**4 wrt p.\nAnswer: 47440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/44)\/((3\/4)\/(6\/4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-3*sqrt(10)) + 2 + 1 + sqrt(2).\nAnswer: 2*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 145 (b) 2 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297645 is divided by 29748.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6634 - 31288 = -5*h + 1278. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 143*n**5\/5 + 14*n**3\/3 - 1579*n**2 - 435. Find the second derivative of q(g) wrt g.\nAnswer: 1716*g**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a hour in minutes?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -619 or -615?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**2 + 4. Let u(x) be the third derivative of x**4\/6 - 43*x**2. Calculate s(u(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7675.791 tonnes in nanograms?\nAnswer: 7675791000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 824, 837, 874, 947, 1068, 1249?\n\"Answer: 2*p**3 - p + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = 3*a. Let l = a + 1. Let p = l + -6. Which is smaller: 1\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a + 5. Let i(b) = -5*b**3 - b**2 + b. Let n be i(1). Let o be u(n). Suppose q - 1 = o. Solve -22 = -4*t - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 56*l**6 + l**5\/5 + l**4\/4 - 220*l**2 + 6*l - 584. What is the second derivative of f(p) wrt p?\nAnswer: 6720*p**3 + 12*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**4\/3 - 2*r. Let b = -6 + 10. Let t(l) = -b - l**2 + 4. What is o(t(x))?\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 94*t - 91*t. Solve -16 = 2*a + t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -4*a + 5*p, -4*a + 4*p = 96 + 96. Let b = 18 + a. Let f = b - -49. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:50 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(((sqrt(165) - sqrt(165)*-1 - sqrt(165))\/sqrt(5))\/(-3*sqrt(539)) + 4).\nAnswer: -20 + 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -716 divided by -48\nAnswer: 179\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 27. Let h(k) = k - 1. Let i be h(2). What is the second biggest value in -0.2, i, b, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dci when three letters picked without replacement from {o: 1, c: 4, s: 2, r: 2, i: 5, d: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 101. Is g greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/165293 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19*260\/(-5700)*-15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7564 (base 9) in base 12?\nAnswer: 327a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2041667*r**2*y + 519*r*y + r - 702*y wrt r?\nAnswer: 4083334*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 3*j**2 + 3*j + 1. Let t be o(3). Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 264\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2*4\/(-24)*-15)\/(4\/8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3487 + 3507. Let c(n) be the first derivative of -10*n + 5\/3*n**3 + v - 5\/2*n**2. Find t such that c(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28024 = -923*x - 19717 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, w: 1}. Give prob of picking 2 e and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(90\/(-20)))\/((-4)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 20 = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6585594 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*4)\/((-2)\/24). Let s = 95 + f. Suppose -5*q + s = -0*t + 2*t, -4*q - 5*t = -24. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let c = 6114 + -6109. Find the second derivative of -20*g + 4*g**4 + 17*g**c - m*g**4 + 2*g**5 wrt g.\nAnswer: 380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.2 (b) -6 (c) 3\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 12*s + 6 - 1 - 12*s. Let u be (0\/(-1))\/(-1 - -4). Calculate l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:36 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-28 + 8 + 7)) + -43\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 14*x + 72 = -33*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 5*r**3\/3 - 16*r**2 - 15*r. Let q be u(12). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.3, 1, 1428?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - 5 + s**3 - 133 + 138.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u + 4*u + 4 - 2 + 3.\nAnswer: -10*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1337 * 18.\nAnswer: -24066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294 divided by 22?\nAnswer: 1647\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3 - 19) + 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454810 is divided by 90960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:54 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 245569 in -1\/3, 4, 5\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925 bigger than 3925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 984*h**3 + 3904*h**2.\nAnswer: 2*h**2*(h + 4)*(h + 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -30*n + 3 - 44*n - 19. What is the units digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -0.4 (c) -4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-2)\/110*14958521. Let o = -1362237 + n. Let f = o - -2369. What is the common denominator of f and 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 59*j**2 - 73*j + 16. Let h(l) = -22*l**2 + 25*l - 6. Let b(a) = -3*f(a) - 8*h(a). Let i(z) = -23*z. Calculate b(i(w)).\nAnswer: -529*w**2 - 437*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 41*x**2 - 16*x - 16. Is z(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1654, 3073, 4484, 5887, 7282?\nAnswer: 8669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -73350 minus 38.2039?\nAnswer: -73388.2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11186.09 and -3.\nAnswer: -33558.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(5\/3) - 0. Let y(c) = 2*c + c - 5*c + w*c + 14. What are the prime factors of y(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 + 33*z**2 + 36*z - 68 = 0. Calculate z.\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 525305?\nAnswer: 1050610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44797 and 1.3.\nAnswer: 44798.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4563 divide 368001387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 11 = 9. Let i(t) = -t**3 + 10*t**2 + t + 31. Let f be i(5). Let v = -157 + f. Sort v, 1, p in ascending order.\nAnswer: p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26670 (base 8) to base 15\nAnswer: -3704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28638 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 592062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c - 2. Let y be (0 + c - -86) + 0. Suppose -64104*h + 64066*h + 1292 = 0. What is the highest common divisor of h and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 139945 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.27551 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + 7*p**4\/24 - p**3\/2 + p**2. Let f(t) = -t**3 + 20*t**2 + 45*t - 26. Let b be f(22). Give v(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5\/3, -1\/6, 0.1, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15784031537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaqqwqqwwaq. What is prob of picking 1 a and 1 q?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11605787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 + 32.83. Let u = 33 - k. What is the third smallest value in 2\/9, u, -2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2684459 and 517.\nAnswer: 2684976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -47.55. Round v to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 590.4 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(21)\/sqrt(7) + -3*sqrt(48).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.02, 10, 7, 82?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60349*s**4 + 53729*s**2 wrt s.\nAnswer: 1448376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -636, -280, 38, 300, 488?\n\"Answer: -3*q**3 - q**2 + 380*q - 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 32. Let x = 1 + w. Find the third derivative of -2*p**2 - 5*p**x + 5*p**4 - p**4 - 4*p**4 wrt p.\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*(b\/b**(-31)*b)\/b*b*b*b*b**(-3)*b*b*b**(-2\/21)*b**(1\/2) assuming b is positive.\nAnswer: b**(1571\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:57 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 + 125*o**3 + 345*o**2 + 335*o + 110 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10*t + 4669 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252672489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-4)\/3*(-81)\/(-18). Let w be 21\/p - (-9)\/12. Which is smaller: w or -2\/263?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5843, 2, 1, -3, -372 in descending order.\nAnswer: 5843, 2, 1, -3, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/135*10\/4*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*s + 8, 13*j - 11*j = -3*s - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 27*u. Let w be l(27). Factor 0 + 3\/2*x**5 + 0*x**2 + w*x + 0*x**4 - 3\/2*x**3.\nAnswer: 3*x**3*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 256\/3. Let o = 14 - u. Which is the second biggest value? (a) o (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Let t be (-2)\/8 - 21\/u. Suppose -t*j = -3*o - 16, -5*o = -6*j + 3*j. Solve j*h + 7 = -8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - w - 1 = 13, -4*w = -5*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**9\/w)*w**(1\/8))\/(((w\/w**(-5)*w)\/w)\/(w*w**(-2\/25)*w)) assuming w is positive.\nAnswer: w**(-2191\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-10)*i*(i\/i**(-23))\/i assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (sqrt(5) - ((sqrt(5) - sqrt(25)\/sqrt(5))*1 + sqrt(5)))) - (sqrt(45) + -3 - (sqrt(200)\/sqrt(4))\/sqrt(10))**2.\nAnswer: -33 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5\/5 - 285831*h**4\/5 + 6812993601*h**3\/5 - 224497918113*h**2\/5 - 469435960368*h\/5 - 47624952564 = 0.\nAnswer: -1, 35, 47622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) - -4*51. Let w be t\/(-28)*(-1)\/(-6). Let k = 11\/12 + w. Sort 1\/4, 5, k.\nAnswer: k, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1210 = w - 2*z, z - 8602 + 2508 = -5*w. List the prime factors of w.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**2 - 24*t + 23. Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 1\/12*d**4 + d**2 + 2*d + 0 + d**3. Determine v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1, -2\/7, 5, 0.5 in decreasing order.\nAnswer: 5, 1, 0.5, 3\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -5) + (56 - 59)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 4) to base 5\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*f - 5*r, 4 = 3*f + 2*r - 1. Suppose -2*o - f = -9. Suppose 2*u - 6 = 5*c, 5*u - c = c + 15. Is o > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3160 * 7.777.\nAnswer: 24575.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*q - 602 + 118, 3*q = k - 115. Solve -k*v + 872 = 214 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3\/7*t**4 + 0*t - 3\/7*t**5 - 3\/7*t**2 + 0 + 3\/7*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n - 16 = 0. Let w = 11 - n. Solve -4*g = w + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 15 + 0 + 23.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 6. Let r = 0 + o. Suppose -23 = -2*d - 0*v + 5*v, 2*v = -d - 2. Which is the second biggest value? (a) r (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {c: 4, s: 1, k: 5, g: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -141112?\nAnswer: -141143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.1. Let t(q) = q**3 - 8*q**2 + 7*q - 2. Let i be t(7). Suppose 5*f - 25 = 0, -2*f + 12 = 7*d - 9*d. What is the nearest to i in d, -5, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 26068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/14 + (-6)\/14. Suppose l*c + 4*c = -5*u + 35, 0 = -5*c + 5*u + 100. What is the remainder when 72 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*l = -l - 4, 5*q - 4*l - 22 = 0. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 + 25*w**2. Let v(q) = -9*q**3 + 51*q**2 + 1. Calculate -5*k(l) + 2*v(l).\nAnswer: 2*l**3 - 23*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72.55 + -72.55. Let f = -0.2 - -0.1. Which is the third smallest value? (a) f (b) x (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767, -4137, -9985, -18311?\nAnswer: -29115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 965842.1 centuries?\nAnswer: 1159010520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than -184\/3407395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - (-4)\/5. Suppose -p + t = -1, p - v = -3*t + 6*t. Calculate the smallest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-644280)\/(-9971) - 18\/(-13)) + 7*-3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(-1\/4))**18)**(2\/27))**46)**(-3\/13) assuming i is positive.\nAnswer: i**(-322\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and -5*(-1)\/2*192\/15.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 15*s**2 + 12*s + 36. Let p be f(14). Solve 2 - p = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2507*d + 1862*d + 602*d)*(-3*d + 2*d - 2*d**2 + 3*d**2).\nAnswer: 4971*d**3 - 4971*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 625.\nAnswer: -9\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -12)\/(((-30)\/(-1023))\/5). Suppose 316*l = 324*l - w. Calculate the greatest common divisor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2 - 21*q + 20. Let p(n) = 10*n**2 - 10*n + 10. Determine -4*f(r) + 9*p(r).\nAnswer: 2*r**2 - 6*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s + 32. Let n be l(-3). Let v = 0 + 0. Let d = 0.033 + 14.967. Which is the second biggest value? (a) v (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - b**3 + 0*b**3 + (-4*b**2 - 2*b**2 + 4*b**2)*(4*b - b - b) + 4*b**3 + b - b + 0*b**3 - 2*b**3 + b**3)*(b - b + 2*b**2).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1815912 and 17\/80?\nAnswer: 18159120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 14. Let f = 793 - 755. Calculate the remainder when f is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + n**3 + 8*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -425.254227 rounded to one decimal place?\nAnswer: -425.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201.000000776 - -201. What is r rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45003 - -1013045?\nAnswer: 1102052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 368409.26 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*x)*(-6*x**2 + 2*x**2 - x**2) - 5*x**3 + 0 + 6*x**3 - 2.\nAnswer: -19*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -6.794654.\nAnswer: -27.178616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20524282695 and -0.06.\nAnswer: -20524282695.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2156677662 - -26.\nAnswer: -2156677636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 2*i**3 - 2*i + (-2*i + 0*i + i)*(-2*i + 2*i - i**2) + (-192*i**2 - 32*i**2 + 64*i**2)*(-i + 0*i + 0*i + (4 + 1 - 4)*(4*i - 2*i - 3*i)).\nAnswer: 323*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 863867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -48*d - 1444. Give m(103).\nAnswer: -6388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2185176 - 2425545527\/1110. Find the common denominator of j and 49\/144.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.627 - -6.127. Sort -2\/13, d, -2\/217 in descending order.\nAnswer: -2\/217, -2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 8*j - 3 + 6. What is m(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -2 (c) -1 (d) -0.007 (e) 0.4 (f) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.88 - 0.12. Let g = t + 11. What is the third biggest value in -0.2, 0.5, -0.5, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 3 - (-6 + -2)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 127, -5, -79.2 in ascending order.\nAnswer: -79.2, -5, 1\/7, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q**5 + 0*q**4 + 0*q + 0*q**6 - 7\/6*q**3 + 1\/210*q**7 + 11*q**2 + 0. Differentiate s(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-2) - (1 + 1). Let l(m) = -m**3 - 4*m**2 + 5*m + 3. Let p be l(i). Suppose 0 = -j + p + 138. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121935561 to the power of 1\/2, to the nearest integer?\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511564004?\nAnswer: 2, 7, 107, 170749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)*z**2)**50)**(-28) assuming z is positive.\nAnswer: z**(-2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 - 114*a**3 - 11979*a**2 - 34830*a = 0?\nAnswer: -45, -3, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19930311 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.19, -1\/12, -6, -0.2, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v + 2. Let o be w(0). Suppose -2*f = -4, -o*f - 8 - 21 = -3*z. Let x(c) = c - 13. Determine x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580, 585, 592, 601, 612?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 u, and 1 j when four letters picked without replacement from iuhiiiiji?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72472257 and 1287.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -6.2. Let m = 1.8 + -0.5. Let w = -1.1 + m. Which is the closest to w? (a) -0.5 (b) -3\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y**2 + 7*y + 8. Let m(a) = -60*a**2 + 20*a**2 + 8 + 27*a**2 + 6*a. Let f(t) = -6*j(t) + 7*m(t). What is the derivative of f(c) wrt c?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-618)\/155 + 2*2. Let f = g - -149\/465. Factor -t**2 - f*t**4 + 0 + t**3 + 1\/3*t.\nAnswer: -t*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 47.\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1285)\/205 + 0\/(-9) - -7. Which is bigger: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a factor of 1370838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 4*f + 6. Let l(w) be the first derivative of 2 - 2\/5*w**5 - w**f + 0*w**3 + 0*w + 0*w**4. Find the second derivative of l(y) wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzkkk. Give prob of picking 1 z and 3 k.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25 and -274.954.\nAnswer: -249.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.851034 * -227\nAnswer: -874.184718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -4*b - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122342904.\nAnswer: 2, 37, 61, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-54)\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = 4. Suppose -p = 3*c - 10. Let y(a) = -45*a + 178. Let k be y(4). Sort k, c, 0 in decreasing order.\nAnswer: c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*2)\/sqrt(6) + 6*3*sqrt(6))\/(2*(sqrt(44)\/sqrt(2))\/sqrt(11)*3)*-2.\nAnswer: -20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 105, 240, 429, 672, 969, 1320?\n\"Answer: 27*r**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 18*x**3 - 3*x + 2. Let r(f) = 5*f - 17 + 3 - 4*f + 0*f. Let k be r(15). Let y be c(k). What is the greatest common divisor of y and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23628 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 8*d**3 + 44*d**2 + 48*d.\nAnswer: -4*d*(d - 3)*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4, 5*b - 7*b + 9247 = 5*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11032121 (base 4) in base 12?\nAnswer: 10475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:38 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 28. Let p be l\/(-7 + 3) + 4. Let t = 11 - p. Do 5 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.727592um in meters?\nAnswer: 0.000008727592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 98.\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3397 - -9131. What are the prime factors of j?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Let p = 915 + -913. Which is the closest to -1? (a) 1.1 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (31 - 22)) + 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n**3 - 2*n**2 - 2*n - 1. Let w = -6 + 5. Let f be j(w). Suppose -3 + f = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 23*b + 16. Let s(w) = w + 1. Let k(i) = -i - 1. Let h(p) = -7*k(p) - 6*s(p). Let j(t) = 4*h(t) - n(t). Differentiate j(u) wrt u.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3 + (1 - 1). Suppose 0 = 22*b - 467 - 39. Solve j*z - b = -8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/2106*(39\/(-2))\/(-13)*-1\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 13. Suppose -x*v = -3*v + 3*l - 35, 4*v + 3*l = 31. What is the second derivative of u + 0*u**v - u**4 - 2*u wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffigifoffghgfoooooo. Give prob of picking 1 f, 1 h, and 1 o.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3225 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-20)\/(-8). Let q(k) = 8*k + 1. Let j be q(u). Suppose -3*z = 2*p - 0*p - j, -3*p + 20 = z. Calculate the lowest common multiple of z and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 - -1)*(11 - 12). Let x be -2*(-4 + s\/(-2)). What is the common denominator of 339\/(-4)*2\/x and 57\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f - 10. Calculate the remainder when i(9) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*f - 5*f - 15010. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -393.17 + 396. Let c = v + 0.17. Let j = 2 + -4. Sort -0.5, j, c in ascending order.\nAnswer: j, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52252418 and 0.4.\nAnswer: -20900967.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*((m\/((m**(-2\/13)\/m*m)\/m)*m)\/m*m)\/m*m)\/((m*m\/(m*m\/m**(-2\/17))*m)\/m))\/(m*m**(-6))**2)**(-47) assuming m is positive.\nAnswer: m**(-148238\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.139 rounded to 1 decimal place?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 222, 444, 664, 882, 1098, 1312, 1524?\n\"Answer: -c**2 + 225*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022058159068 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z + 6. Let x be d(-4). Let s(t) = t**x - t**2 - t**2. Let v(c) be the third derivative of -c**5\/60 - 5*c**2. What is v(s(b))?\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*q - 4, 3*g + 3 = -q + 11. Suppose 0 = 3*m - 5*f - 40 + 14, g*m - 20 = 4*f. Solve 0 = -3*j - 4*z - 10 + 1, m*j - 2*z - 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33988561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 - (1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 356.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -15?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {t: 4, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from {p: 6, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -207 (c) -2\/25 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 + -2126\/9. Let n = 8.05 + -8.05. Which is the fourth smallest value? (a) n (b) q (c) 6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 - 86 = 0. What is the common denominator of -75\/8 and (-12)\/8*v*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42155727157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 750806 to the power of 1\/2, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -28. Suppose 3*t = -5*f - 37, -q = 2*f - 0*t + 5*t. Does 6 divide 2 + f\/(10\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8484*a + 8505*a - x + 46 = 0, -4*x + 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.1 - 28. Let j = -0.1 + p. Suppose v + 22 = 4*m, -3*v - m - m + 4 = 0. Which is the second smallest value? (a) j (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4236392, -4236391, -4236390, -4236389, -4236388, -4236387?\n\"Answer: o - 4236393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let r(q) = q**3 - 3*q**2 + 2*q - 1. Let j be r(2). Which is the nearest to -2\/5? (a) 2\/3 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 7:23 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -21.\nAnswer: 46\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m + 2*m - 14*m + 2 - 16*m**2 + 122*m**2. Calculate t(1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -225, -229, -233?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 7*x - 3*x. What is the remainder when 50 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 2. Let u(i) = -370*i + 12. Determine u(p) - 5*v(p).\nAnswer: -360*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-2)\/q)*(((q\/q**(3\/2))\/q)\/q)\/q*(q\/q**0*q)**(-2))\/((q**(1\/10)\/(q*q**0))\/(q**0\/q)**19) assuming q is positive.\nAnswer: q**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2035*-2243\nAnswer: 4564505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2266 and 280881.\nAnswer: 6179382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2011010033 + -301?\nAnswer: 2011003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h**3 - 8*h - 24*h**2 - 4*h + 243*h**4 - 246*h**4 = 0 for h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.112 - -0.029. Let b = 12.782 + -18.365. Let n = q - b. What is n rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3548, 1146, 50 in ascending order.\nAnswer: -3548, 50, 1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 8*t**3\/3 + 969. Let i = -11 + 24. Let x(u) = 17*u**2 - i*u**2 - 7*u**2. Determine w(x(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627904 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 99 = 27*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216496?\nAnswer: 2, 7, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108) + 1) + 5 + (1*sqrt(324))\/(sqrt(12) - (sqrt(300)*2 + sqrt(12))).\nAnswer: -63*sqrt(3)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from {m: 1, h: 7, r: 2, u: 2, v: 1, t: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**3 + 3*n**3 - 4*n**3)*(-1 + 1 + 1)*(22 - 3 + 9 + (2 + 2 - 2)*(-3 + 0 + 2)) as a*n**2 + x*n**3 + d + p*n and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 + -170. Put z, -3, -5 in decreasing order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 25*k = -4*l + 36, l = 5*k - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtk when three letters picked without replacement from {v: 4, t: 7, d: 1, k: 3, j: 1}.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180*518.\nAnswer: -93240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63\/(-2) - 3\/(-2). Let m be (8\/(-10))\/(12\/s). Suppose -2*d = -m*k + 196, -k + 2*d - 18 = -112. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 + 77\/35. Let u be (-1)\/(-4) + (-22)\/(-8). Suppose m = u*m - 2. Are m and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37101 (base 8) in base 6?\nAnswer: -201441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from gaaaaaaaaaaagag?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 13*i**6\/60 - i**4\/24 + i**3\/6 - 3*i**2\/2 + 1. Let p(t) be the second derivative of j(t). Is p(1) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 - 11*r**2 + 2*r + 3. Let y(m) = -2*m**3 - 2*m**2 - 1. Determine n(s) - 4*y(s).\nAnswer: s**3 - 3*s**2 + 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 8\/3, 2879, -1\/31, 2\/11 in ascending order.\nAnswer: -1\/31, 1\/7, 2\/11, 8\/3, 2879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 22 - -11 - (-27 + 0 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*a - 60, b - 2*a + 5 = 27. Suppose -4*z + 255 + 193 = 0. What is the highest common divisor of z and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 6, -1, -22, -63?\n\"Answer: -s**3 + 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 16806*d + 81328*d + 4921*d.\nAnswer: 103055*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/12 + 7*o**5\/60 - o**4\/12 - 11*o**3\/6 - 31*o**2. Find the second derivative of t(u) wrt u.\nAnswer: 60*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 61464855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2260*z + 33*z - 91*z.\nAnswer: -2318*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/(q**(-1\/8)*q))\/(q\/(q\/((q**(-2\/5)*q)\/q))*q\/q**(1\/2)))\/(((q*q*q*q**(1\/3))\/q)**6*(q**0)**30) assuming q is positive.\nAnswer: q**(-1757\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 4*d - 10. Let h be (9\/6)\/(-3)*-10. Let p be w(h). Let k = 4 - -1. Which is the second biggest value? (a) k (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + 0*o**2 + 3 + 8*o**2 + 11*o. Let i(p) = -p**2 - p + 1. Let x(b) = -4*i(b) - k(b). Let j = -649 + 643. Give x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-3\/2)\/j)*j)\/j**(-6\/5)*(j**0)**(-2))**5 assuming j is positive.\nAnswer: j**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.665 - 0.335. Is s greater than or equal to 0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 94*f - 372. Let v be s(4). What is the nearest to v in 0.4, -3, -124?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**3 - 131070*s**2 - 2619295*s + 2750370 = 0.\nAnswer: -26194, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34432237 divided by -6?\nAnswer: 34432237\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nis when three letters picked without replacement from meisdnen?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080986 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1080649, 1080623, 1080589, 1080553, 1080521, 1080499, 1080493?\n\"Answer: p**3 - 10*p**2 - 3*p + 1080661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -332.07113 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/(130\/((-38740)\/149))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 19*d + 24. Let n be k(-16). Let r = -1 + 6. Let z be 2\/r + n\/10. Sort -0.5, z, -4.\nAnswer: -4, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let p(m) = -1 - r*m + m**2 + m**2 - 3. Let z(q) = -q - 1. Give p(x) - 4*z(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + v)*(15*v - 6*v - 10*v + 4*v - v - 5*v + (-4 + 2 + 4)*(-5*v + 4*v - v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/37, -1\/5, 2.46, 2 in descending order.\nAnswer: 2.46, 2, -1\/5, -14\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -9. Suppose 0 = -v + 5*q - 0*q + 15, -p*v = -3*q - 9. Which is the closest to 0? (a) -2\/15 (b) v (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = 3*f - 2*p, 0 = -5*f - 4*p + 53. Let o = -19 + f. Let q = o + 151. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304) + 3 + -5)**2 + (-2 + (sqrt(19) + -5)*3)**2*-4)*6.\nAnswer: -9216 + 2448*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5 + 4797*a**4 + 992655*a**3 + 48437175*a**2 = 0.\nAnswer: -95, 0, 1789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1978, -1619, -1016, -169?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + 2.9. Let f = -0.7 + j. Let a = f - 4.5815. What is a rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/(sqrt(10) + sqrt(250))*-5*-5)\/(sqrt(72)\/sqrt(9)*3 - -1*sqrt(800)).\nAnswer: 25*sqrt(7)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = h, -9*f + 5*h - 7 = -11*f. Suppose -4*x - 8 = 0, 2*m - 3*x = m + 8. List the prime factors of 1*((-2)\/f + 397\/m).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 13876 = 2*y + 2*z, 34684 = 5*y - z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70148821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - (-183)\/12. Let b = -15 + j. Sort -1, -5, b in descending order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/84 - 1*3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 y, and 1 i when four letters picked without replacement from kyyyiyiikqiyykkiii.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - ((-8 - -10) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 736*w**3 + 1630*w**2 + 2*w wrt w.\nAnswer: 4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 603828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1429 + 1432. Which is the fourth smallest value? (a) k (b) -4 (c) 0 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2233296?\nAnswer: 2, 3, 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/16 + 87\/4. Suppose -5*k = -10, -3*b = -7*b - 5*k + n. Find the second derivative of -4*q + b*q**5 - 7*q**5 + 2*q wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 908, -4.6, 67 in descending order.\nAnswer: 908, 67, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 35 - 56*s - 10 - 84*s + 116*s - 11.\nAnswer: -24*s + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18c - -339520?\nAnswer: 339372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (-49 + 54 - -61)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*(-9)\/42. Let r = 0 - -0.1. Let y = -12 + 7. Which is the nearest to r? (a) x (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6344*a - 6347*a + 48 = -3*w, 0 = -w + 2*a - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6*j + 1009695 = 5*t, 5*j = -25. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6780 and 71\/100?\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3585072 meters to millimeters.\nAnswer: 358.5072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 1536405?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - k - 15, -50 = -9*g + 4*g + 5*k. Suppose -g*x + 22 = 7. Let s = 28 - 27. Calculate the remainder when x is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6811 is divided by 89.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*o + 4 = -2*y, 2*o = -y + 6. Suppose -y*n + 4*n = -18. Solve 4*r = n*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0. Let m = -99 - -132. Let f be (6\/9)\/(1 - m\/45). What is the nearest to 4 in 5, f, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 3 + 3)*(482*q - 3552*q - 964*q - 2307*q - 60*q).\nAnswer: -19203*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 2, m: 7, b: 1, r: 2, d: 3}. Give prob of picking 2 d and 1 r.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/20216075 and 17\/363.\nAnswer: 60648225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*j - 91*f + 90*f, 58 = 5*j + 4*f. Let 6*r**5 - 78\/7*r**j + 54\/7*r**4 - 114\/7*r**3 + 72\/7*r + 24\/7 = 0. What is r?\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let y = 0.16 + 0.54. Let x = 0.7 - y. Which is the nearest to x? (a) 5 (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95917 - 95917.3. Let o = -8 - -18. Let f = 7 - o. What is the closest to 4 in d, -2\/5, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -30, 6, -5\/1232?\nAnswer: -5\/1232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2, 1\/113, 0.08 in descending order.\nAnswer: 0.08, 1\/113, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*c = -404*c + 5092. Suppose -a = -t + 854, a - c = -15*t + 12*t. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.11 and 21?\nAnswer: 20.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 20. Let v = x - 8. Suppose -6*k = -v*k - 44. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28631 and -1.7.\nAnswer: -48672.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 215.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 16. Let q = j + -4.2. Let s = -4.2000072 - q. What is s rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*u + 4*u - 11*u)*(-2 + 2 - 1)*(2*u + u - 4*u).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13)*a*a*a*a**(-25))**(-7) assuming a is positive.\nAnswer: a**(2016\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 2:54 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 + x + 2. Let s be j(-7). Suppose -5*u = 2 + 8. Put 1, s, u in descending order.\nAnswer: 1, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092605?\nAnswer: 5, 218521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.139879 - -0.14. What is x rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9097892 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*p - 652 + 514 = -3122 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-168)\/28 - (1 - 4546). Let t = -2725 + o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046927 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -3. Suppose -8*h = -3*h - g. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -3691 + 163. Calculate the remainder when g is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioio when four letters picked without replacement from {i: 5, j: 2, o: 3, p: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-175))\/16*(-325)\/(-520)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 14 = -34. Solve -m = 5*k - k, 0 = -u - 4*k - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 26, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 2*f + 4. Suppose 0 = 5*j + p - 2*p - 68, 3*p - 30 = -3*j. Let w = j - 16. What is b(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -5) + -1 + 3. Suppose g*m = 2*r + 170, 0 = 2*m + 2*m - 4*r - 224. Round m to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 56*m - 12*m**2 + 42*m + 8*m**2.\nAnswer: 2*m**2 + 98*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -41*a**2. Let q(j) = j**2 + 1. Determine m(s) - 4*q(s).\nAnswer: -45*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*b**4 + 176*b**4 + 33*b**3 - 104*b**4 - 4 + 2*b**2 as g*b**4 + h*b**3 + v*b + a + f*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = 0. Solve u = 4*p + g - 13, -3*p + g + 1 = -0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 1380*r + 95220. Let t(d) = 65*d**2 + 12420*d - 856980. Let k(o) = -55*l(o) - 6*t(o). Factor k(u).\nAnswer: -5*(u - 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6054441*g - 2*s = -6054443*g + 12, 3*g + 31 = -4*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/121 in 3, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (63 - (-6 + 70)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/7 + 95*t**2\/7 + 187*t\/7 + 93\/7.\nAnswer: (t + 1)**2*(t + 93)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(15\/(-21)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 6*b**2 - 32*b + 9. Determine x(4).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {j: 12, h: 1, g: 3, i: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1698.1646 and 2.\nAnswer: -3396.3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10900?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-30)\/12*(-32)\/180.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 5528843?\nAnswer: -5528833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 10045257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 4*m**2 - 2*m - 17. Determine s(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - 2*y)*(-198 + 70 + 65 + 63 - 949*y).\nAnswer: 2847*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.39 to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llssssllslsls. What is prob of picking 2 s?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 12825851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Suppose l = 3 + 9. Suppose -g + 4*s = -4, 3*g + 0*g - 2*s = l. Let p(d) = g*d + 6*d + 0*d + 0*d. Give t(p(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 + 3*n**3)*(-5*n + 2*n + 2*n)*(102 + 59 - 56).\nAnswer: -315*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*l + 4 = 0, -23 + 13 = 5*j + 5*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 16\/11, 1\/5, 1\/2, -4?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104805.\nAnswer: 3, 5, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:01 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 3*r + 1. Let h be t(4). Let j be (-10)\/(-40)*(h + -1). Let w = -0.1 + 0.1. What is the nearest to -2\/7 in w, j, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30432, -121733, -273900, -486933, -760832, -1095597, -1491228?\n\"Answer: -30433*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usguxusuuuugud. What is prob of picking 4 u?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + 3.78. Which is the third smallest value? (a) x (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000480802 to 6 decimal places.\nAnswer: 0.000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72872902 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.375 - 0.56. Let d = -0.015 + r. What is the closest to 0 in d, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*1 - (-5 - -3). Let j be 14\/(-63) + 16\/(-9). Is f at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 0 = -2*o, -2*c + 7*c = 3*o - 20. Let g(x) = x**3 + 3*x**2 - 3*x + 1. Let l(y) = y**3 + 4*y**2 - 4*y + 1. Calculate c*g(r) + w*l(r).\nAnswer: -r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368474 and 4843?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 133.6382 nanograms to grams.\nAnswer: 0.0000001336382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1558*v - 1175*v + 383. Which is smaller: v or -1\/939?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.1707 rounded to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.7 + 0.7. Let g = -5 - v. Let o be ((-3)\/(-12))\/(((-5)\/(-3))\/5). What is the biggest value in o, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -19 (c) -0.1 (d) -3\/5399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-60) + (-6)\/(-15). Determine n, given that -b*n**2 + 5\/4*n**4 + 1\/4*n**5 - 2*n + 7\/4*n**3 - 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4354374\/11 or 395851?\nAnswer: 4354374\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 0 + 0 - 2*h**3 + 2*h**3 - 2*h**3 + (1 - 1 - h**2)*(-1 + h + 1) + 3*h**3 + 3*h - 3*h + (h + h + 0*h)*(-h**2 - 2*h**2 + 4*h**2).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3))\/(m*m**(2\/29))*(m*m*(m\/(m*m**(-8)*m)*m)\/m)\/(m*(m\/m**(-8)*m)\/m) assuming m is positive.\nAnswer: m**(56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434843 is divided by 478281.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 + 7663 = 120*d + 123*d - 3537 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2056286448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 47 = 79. Let k = -28 + 13. Let c be k + 11 + 0 + 3. Sort c, 6, w in ascending order.\nAnswer: w, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*z + 926, 2*i + 2*z - 4*z = 370. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 3*g + 28 - 9*g**2 - 8*g + 3*g + 11*g**2 to h*g + z*g**2 + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 11580.\nAnswer: 57900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 161291920 to the nearest one hundred thousand.\nAnswer: 161300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 22*p**2 - 2*p + 1. Let n = 5401 + -5362. Calculate the remainder when n is divided by a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 3 (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4376 divide 1399115171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 19491 = -36184. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90150)\/(-1202)*(-2)\/6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*f - 98*f - 11*f in the form m*f + k and give m.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/10)\/((-504)\/(-48)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80026*l + 79412*l + 79371*l - 238804*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 a when four letters picked without replacement from uaopopruourpupppup?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 6*l - 10. Let f be u(-9). What is the greatest common factor of f and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29672974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 35*l**5 - 150*l**4 + 5*l**3 + 150*l**2 - 40*l = 0?\nAnswer: -1, 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 10*l - 119. Let i be h(-7). Let r(y) be the first derivative of 1 - 2\/5*y**5 - 2\/3*y**3 + 0*y + i*y**2 + y**4. Find n such that r(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302200 (base 5) to base 9\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 4 (c) 0 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2 - 660*y - 108900 = 0.\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a factor of 3612599900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = -5*b - 5, -i + 9 = -5*b. Is 4\/(-8) + (-29)\/b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + w. Let y(g) = 4*g**2 - 2*g + 1. What is -u(z) - 2*y(z)?\nAnswer: -7*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2868, 2865, 2862, 2859, 2856?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-56))\/(1\/2) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u + 74. Let j(w) = -1209*w**2 - 6*w - 1489. Let d(q) = j(q) - 6*z(q). What is the first derivative of d(m) wrt m?\nAnswer: -2430*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -130823, -1.32?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 98*g - 99*g + 24 = 0, -3*k - 2*g + 33 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101 (base 4) to base 16.\nAnswer: 4411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((18 - 16) + -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5)\/p)**(-1\/20))**(-16) assuming p is positive.\nAnswer: p**(-16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81 - -55) + -3 + 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201360 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -427*a - 5446. What is x(-13)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (492912\/(-915408))\/((-2)\/(-2) + (-27)\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51404?\nAnswer: 2, 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 512989?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 30 + (-2 - -2). Let c = d + -18. Suppose 6*p - 5*p = c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8 - 0.2. What is the third smallest value in r, 0.1, -23\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2 + 54*t = 0?\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149767\/2323840 + 7\/18155. Calculate the common denominator of u and 72\/35.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 86482*n + 86623*n.\nAnswer: 141*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 4 = -8*s. Suppose s*h + 72 = 11*h. What is the highest common divisor of h and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 1 e when three letters picked without replacement from {z: 2, x: 1, q: 1, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.5219 and 91.\nAnswer: 92.5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/224)\/((-381)\/195 - -2). Let w = u - 1711\/1008. Calculate the common denominator of w and -11\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/5)*p*p**(-1\/2))\/(p**(-2\/11))**(-1\/22))**(6\/11) assuming p is positive.\nAnswer: p**(8319\/6655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017197191 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 11609404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 118*k - 1. Calculate the remainder when i(1) is divided by ((-72)\/54)\/(3\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.8583 days in nanoseconds?\nAnswer: 37226157120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*w - 15. Let t = w - -20. Suppose 5*a - t*u = 309, 2*a - u = -6*u + 112. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-169.2\nAnswer: -16.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22410 and 1080.\nAnswer: 89640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17889, -17894, -17899, -17904, -17909, -17914?\n\"Answer: -5*u - 17884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/(2\/30). Let z = 12 + -4. Suppose 4*j + 2*t = -14, j = z*t - 4*t + 1. Put p, j, 4 in ascending order.\nAnswer: j, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5020*l + 5. Let z(s) = 5004*s - 4. Give 6*o(y) + 7*z(y).\nAnswer: 4908*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -203. Let s = f - 95.9999966. Round s to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 + -9 - (0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 - 130. What is the remainder when 233 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -0.3 (d) 5 (e) -1\/2 (f) 937 (g) 59\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -0.779 (c) -2\/1589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80 - (18 - (18 - 7)). Solve 84*q = n*q - 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -4791.\nAnswer: 4789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77915684 to the nearest integer?\nAnswer: 8827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssnnsnsssnss. What is prob of sequence ss?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.75 + 0.25. What is the nearest to 1 in 1, -2\/7, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + 3*o + 1. Let j(p) = 30*p**2 + 10*p + 15. Let l(k) = -j(k) - 5*n(k). Factor l(v).\nAnswer: -5*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - g + 5 = -3*w, 0 = g - 5. Which is the nearest to w? (a) 0 (b) 2\/5 (c) 4 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from {c: 1, y: 3, u: 1, t: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-164)\/32 - (-3)\/12. Let c(z) = -3 + 3 - 30*z**2 + f*z**2. Let q(w) = 7*w**2. Determine q(c(t)).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -3, 4804, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let x(a) = -5*a - 48. Let y be x(0). Let j = y + 48. Let o(g) = -g - g + j*g - g. What is o(t(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -24.3. Let g = w + -13.7. Let n = g - 9. What is the second biggest value in n, 0.3, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 + 520515*y**3 - 13547053505*y**2 + 13545491985*y + 27093066010 = 0. What is y?\nAnswer: -1, 2, 52051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13689, 27771, 41863, 55971, 70101, 84259?\nAnswer: 98451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 90. Let n(r) = 1453*r**2. Give d(n(c)).\nAnswer: 8444836*c**4 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 + 4*a**4 - 192 + 15*a**3)*(2 + 1 - 1)*(-12 - 7*a + 12).\nAnswer: -56*a**5 - 210*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**4 + l**3 - l**2 - 1. Let u(n) = 27*n**4 + 3*n**3 - 3*n**2. Let s(j) = -3*h(j) + u(j). What is the first derivative of s(i) wrt i?\nAnswer: 96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -22. Let m = -26 - -24. Put m, 5, x in increasing order.\nAnswer: m, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9004 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 10*a + 3*a**3 - 2*a**3 - 80*a**3 + 76*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*((-10332)\/364 + 28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000545207 rounded to six dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/5)\/(37\/555). Solve 3*g = 6*g + n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 57*d**2 + 523*d - 31. Give s(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71232 and 942340?\nAnswer: 45232320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*w + 4*c + 11, 2*c + 19 = 7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3 + 1888*x**2 + 23344*x - 54208 = 0?\nAnswer: -14, 2, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 56. Let s = 8 + 2. Let z = s - c. What is the third biggest value in 2\/23, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19491 rounded to three dps?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 112\/96 - (-1)\/3. What is the closest to -1 in x, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16627*b + 75 = -5*g + 16628*b, 7*b - 353 = -8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k - k - 31 + 34 to the form c*k + f and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 8. What is u(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + h**3 + 119 + 27*h**2 + 8*h**2 - 13*h**2 - 11*h**2.\nAnswer: h**3 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 19*l**2 - l - 22. Let y be h(-19). What is the closest to 0.3 in 2, y, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 11. Let k be i(2). Let b = k - -17. Suppose 11 - b = v. Solve v*q - q + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1848877*h**5 + 6616*h - 2461.\nAnswer: 36977540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 208.8704 - 0.1104. Let a = q - 205. Round a to one dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143142024 (base 5) to base 7.\nAnswer: 32012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -40*f + 2566. Let d be o(64). Solve d = -15*l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4585 and 13635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1 (b) -3\/4 (c) -1\/4 (d) -165\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -3\/2 (d) 1\/9 (e) -2\/3 (f) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5 - g - 5 + 4. Suppose 0 = -8*m - 45 + 5. Determine h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333242204 (base 5) to base 13.\nAnswer: -115c6b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10551*t = -21842 - 146974 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c + 1. Suppose 5*l - 3 = 4*l - 2*r, 0 = 3*l - r - 16. Suppose -4*y - d = 4*d - 16, l*y = 2*d + 20. Suppose -o = -y*o + 15. What is n(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11046690 rounded to the nearest one hundred thousand?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -416, 0, 2\/23, 2\/97, 1\/5, 2.1, -4?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5819 and -9\/2116.\nAnswer: 23276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 518*z - 39. Suppose -34*l + 232 = -40. Is g(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 smaller than 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-12))\/(-7))\/((-3)\/(-9))*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2800)\/(-49) + 2\/(-14). What is the third derivative of -t*c**3 + 57*c**3 - 7*c**4 - 5*c**4 + 13*c**2 wrt c?\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3 - (-920)\/305). Let y = a - 49. Calculate the highest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124\/3 - 41. Let i = 3.01 + -0.01. Let x be -3 - 6\/((-72)\/39). What is the nearest to -2 in x, i, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 28*o + 411628 - 40576 = 0. Is o <= -16866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhdd when four letters picked without replacement from {h: 7, o: 1, d: 3, p: 4, n: 1}.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0408 - 52.7592. Let a = -907 - -934. Let m = a + g. What is m rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.4, 2, -4, 0 in decreasing order.\nAnswer: 2, 0, -1.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.09, -3, 0.2, -5, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**(-11\/2)\/n))\/n*n*n))\/n**22)\/((n\/(n*n**(-1\/43)))\/n**(-37)) assuming n is positive.\nAnswer: n**(-5721\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.2. Suppose 2*i - 4*n - 4 - 20 = 0, 0 = -3*i + 3*n + 33. Suppose 4*s - 2 = -22, -q + 2*s = -i. Which is the nearest to v? (a) -4 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**4 + 1619*l**3 - 65*l**2 + 9*l - 1 wrt l?\nAnswer: -72*l + 9714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*a = -37, c + 4*a - 22 = -c. Let p = 11 + -6. Suppose -4*z + c + p = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 - 23 = -v, l + 2*v = 7. Calculate the smallest common multiple of 30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a factor of 240278535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -108395 and -0.4?\nAnswer: 43358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -5 + 20 + (0 - 80) + 12 + -3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -10376?\nAnswer: 13\/5188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2172 + -2172.000772. Round o to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14784*a - 7393*a - 7387*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 782?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 86. Let p = b + -37.01. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 585479, 585467, 585451, 585431, 585407, 585379?\n\"Answer: -2*s**2 - 6*s + 585487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -57, -61, -65, -69?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000847 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279303635?\nAnswer: 5, 13, 4296979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -19753?\nAnswer: 19753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*l**3 - 59*l**3 + 71*l**3)*(0*l + 2*l - 4*l) + 0*l**4 - 4*l**4 + l**4 + (-l**2 + 4*l**2 - l**2)*(0*l + 0*l - 2*l**2).\nAnswer: 65*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.715 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -48. Find z, given that -1581*z**i - 2*z**2 + 1582*z**3 + 6*z**2 - 15*z + 8 + 2*z**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o**(-2\/5)*o))\/o))**(2\/123)\/((o\/o**(2\/9))\/(o\/(o\/o**(-6)*o))) assuming o is positive.\nAnswer: o**(-14302\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*3*-2)\/(sqrt(28)\/(sqrt(7)*3)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (47 - 20) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*b - 6 = -20, -4*v - b - 17 = 0. Suppose x + 17 = 5*t + 4*x, 4*t = -2*x + 12. Let m be 1 + 0 - (t - 1). Put v, -3, m in increasing order.\nAnswer: v, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1724, 1708, 1694, 1682?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2461\/(-17227))\/((-78)\/(-21)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/36 + (-16)\/192.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {e: 3, t: 1, q: 3, f: 2, v: 3, j: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101011 (base 3) to base 9.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 949 + 923 = 0. Suppose 106*j = m*j. Solve -2*d + 5*d - 2*s - 3 = j, s + 3 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 0*y**2 + 5*y**2 + (y + 0*y + 0*y)*(1 - 1 - 2*y) + 24*y**2 - 2*y - 50 + 29 + 22.\nAnswer: 25*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -214129?\nAnswer: 214129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-2 - 16 - (-35 - -30))) + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-4)\/16*4). Let n(d) be the second derivative of -5*d**4\/12 - d**3\/6 + d. Calculate n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -308, -538, -780, -1040, -1324, -1638?\n\"Answer: -u**3 - 223*u - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 8*y - b - 15, -3*y + 2*b + 9 = 0. Suppose 0 = -l - 5*m - 25, m - 10 = 5*l + 3*m. Is 16 a factor of l\/y - -40 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-3 + 2) - 2. Let d be 0\/(-1) - z - 5. Is (-2)\/(-4) + d\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**3 + 9739*i**2 - i - 6788?\nAnswer: -6*i**2 + 19478*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 14*g - 32. Let v(a) = a**3 - 10*a**2 + 5*a + 20. Let p be v(9). Let m be s(p). What are the prime factors of m - ((-3)\/(-1) + -23)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/4))\/(k\/k**(-1))*((k*k**5)\/k)\/(k\/k**(-1\/10)*k))**48 assuming k is positive.\nAnswer: k**(636\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 4, s: 3, m: 3, g: 4, h: 5}. Give prob of picking 1 e and 1 s.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awxczoo. What is prob of sequence co?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 9*q - 2. Let r be i(13). Let z be 0 - 961\/(-9) - 12\/r. Let d = -102 + z. Which is the nearest to -1? (a) 1\/2 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(35)\/sqrt(448) + -3.\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a + 3. Let j(s) = -4*s + 1. Let m be j(a). What are the prime factors of (-36)\/(-10)*m\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**3 - 2*h**2 + 41*h + 191. Determine z(-7).\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**7\/50 - g**6\/100 + 21*g**5\/100 + g**4\/2 + 2*g**3\/5 + 9*g**2. Solve b(o) = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000566551 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(448) + (sqrt(448) + -1 + 0 - sqrt(448)))*-5)**2.\nAnswer: -1600*sqrt(7) + 44900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40054, 80103, 120150, 160195?\n\"Answer: -g**2 + 40052*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 1040*v**2 + 2*v**3 + 2 - 14 - 11885*v**2.\nAnswer: 2*v**3 - 12925*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -365 - -2559\/7. Which is the nearest to -0.1? (a) 2\/11 (b) h (c) 0.06 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301104350?\nAnswer: 2, 5, 6022087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28008446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4017860, 4017868, 4017888, 4017926, 4017988, 4018080, 4018208?\nAnswer: 4018378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10127 + -231a?\nAnswer: 9a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44036.\nAnswer: 2, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009790211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/25 (b) 1.3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**6\/4 + 6*a**5\/5 + 3*a**4\/8 - 7*a**3 - 15*a**2 - 12*a - 369. Solve q(c) = 0 for c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(152) - (-1*sqrt(152) + sqrt(152) - sqrt(152))))\/((sqrt(32)\/sqrt(4) + sqrt(8) + sqrt(8))*-2))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 4.5. Let i = j + -82. Sort 1, i, 1\/3 in descending order.\nAnswer: i, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -421*u + 2582. Let x be l(6). Which is smaller: 44 or x?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4088 * 0.3\nAnswer: -1226.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:13 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5797 divided by -15\nAnswer: -5797\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1 + 3)*1. Let i = -8 + 31. Let z = i + -25. Which is the third biggest value? (a) z (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279502.406 seconds in weeks?\nAnswer: 2.115579375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -26, -38, -46, -50, -50?\n\"Answer: 2*b**2 - 22*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12442, -5, -2, 45 in decreasing order.\nAnswer: 45, -2, -5, -12442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 45498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53535393811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4\/4 - 2256177*k**3\/4 - 106049484711*k**2 - 318141121596*k + 424191170352 = 0.\nAnswer: -376028, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 274168384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303563844*j**2 - 587687576*j.\nAnswer: -607127688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/39 + (-2 - -1))\/((-212)\/12).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 30. Suppose 3*s - 2*s + 9 = 2*q, 2*s + 8 = -q. Suppose -5*d = 3 + 2, -q*d = j. Solve j*r + f = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/15*6\/4. Suppose 414 = k*x + 2*s, -2*x + 3*x + 2*s - 96 = 0. Let g(c) = -2*c**2 + 106*c - x*c. Let l(v) = -v**2. What is g(l(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/36*-2*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12498 - -23555. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j + 0 + 114*j**2 + 1\/12*j**5 - 1\/15*j**6 - 1\/8*j**4 - 5\/6*j**3. What is the second derivative of m(x) wrt x?\nAnswer: -48*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97045.\nAnswer: 5, 13, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 7, q: 1, r: 3}. Give prob of sequence rrtr.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)\/h)\/(h\/(h*h\/(h*h\/h**4*h)*h))*(h**(6\/11)\/h)\/(h**(2\/21)*h) assuming h is positive.\nAnswer: h**(890\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 28*l**2 - l - 26. Give f(28).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(2 - (-26)\/(-6)). Solve 2*m - 2*c = r, m - 25 = -4*m + 3*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -416*i**2 - 9. Let m(l) = 208*l**2 + 5. Determine -4*c(d) - 7*m(d).\nAnswer: 208*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -5. Suppose -3*j = -76 - c. Suppose -3*w + j = 4*w. Solve 4*o + 26 = w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/5 - 2\/(-5). Is 30\/(-40) + 686\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*m**2 - 758715*m - 104652.\nAnswer: 3*(m - 8721)*(29*m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 2\/15, 0.07, -3.983, -3\/5, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**3 + 5*d**2 + 0*d**2 - 9*d**2 + 4*d**2 - 9 in the form p*d**2 + t + a*d + l*d**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c. Let v(r) be the first derivative of -r**3\/3 - 7. Calculate v(n(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 22*c**2 + 4*c + 16. Let p be f(6). Suppose 4*m + 180 = p. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2310)\/42)\/55*14\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k - 10*k + 103 - 103 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17892, -5.\nAnswer: -5, 2, 17892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47996 and -77?\nAnswer: 48073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/5)\/p))\/p*p**(2\/39)*((p\/p**(-3\/7))\/p)\/(p*p**(-5\/7)) assuming p is positive.\nAnswer: p**(2176\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.086?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x - 3. Let m be j(0). Let u(o) = -o**2 - 2*o - 3. Let k be u(m). Let c be 1 + (-2)\/k*-2. Put c, -2, 2 in ascending order.\nAnswer: -2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40150 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72555, -72478, -72401, -72324, -72247, -72170?\nAnswer: -72093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 - 7. Let j be t(-5). Let s(l) = 4*l**2 + l + 5. Let f be s(j). Is (f\/3)\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-18)\/(-15) - 1). Let g be 72\/20 - (-2)\/j. Suppose -r = -14 + g. What is the highest common factor of 110 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279*t**5 + 547870*t**3*v**2 - 5*t**2*v**2 + 5*t**2 - 150*t*v**2 + 346*v wrt t.\nAnswer: -16740*t**2 + 3287220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from lyltylhyyllylyhlllyl?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -123, -272, -489, -780, -1151, -1608?\n\"Answer: -s**3 - 25*s**2 - 5*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411276210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.991 less than 0.02?\nAnswer: 6.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1517, -1475, -1433?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2 + (-108)\/(-72). Sort 3, 2, s.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152083282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-5*6\/(-15). Let k be 2\/p - (-726)\/9. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 8. Let v be a(7). Let t be 4\/(-6) - 1060\/v. Suppose d + 3*m - 23 = 8, m + 111 = 4*d. What is the greatest common divisor of t and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 253. Suppose -5*m = -0*m - 20. Suppose 2*t = 5*x - 178, -3*x + m*t = 2*x - q. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34003 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 22*t**2 - 5*t + 94. What is the remainder when g(11) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 27. Let v be l(-23). Suppose 3*k - 4*a + 0 = -v, 5*k + 3*a - 3 = 0. Is k greater than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.5 - -16.096. Let x = -0.066 + s. What is x rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2 (b) 4 (c) 0.1 (d) 4\/5 (e) 1146 (f) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2710102 and 69042?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067852182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 7948 + -7931. Calculate the remainder when 9604 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/60*10\/8*6\/3. Let n(o) = -5*o**3 + 5*o**2 - 3*o - 5. Let g(b) = -2*b**3 + 3*b**2 - 2*b - 3. What is f*n(p) - 5*g(p)?\nAnswer: -5*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 103 = 4*z + 19, -2*v - 4*z = -24. What is the second derivative of 6*m**2 - 4 - 69*m**2 + m + v*m**2 - 79*m**2 wrt m?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*(-196)\/(-48)*165\/(75\/(-15)).\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 401298*w - 3210375. Calculate j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 10) to base 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + w**2 - 100*w + 5 + 1382*w + 2*w**2.\nAnswer: w**2 + 1282*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 140*q - 923. Solve -4*k - 5*t = -12, 2*k - 33*t - q = -28*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 45*v. Let w(i) = 11*i. Give w(q(u)).\nAnswer: 495*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*21061719\nAnswer: 84246876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 53 - 195 = 0. Let x be (-6)\/2*k\/(-3). Suppose -2*f - 3*f + 22 = 2*o, 4*o - x = -f. What is the greatest common divisor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*f - 4\/5*f**2 + 2\/5*f**3.\nAnswer: 2*f**2*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 12) to base 16\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -59, 4\/3, -2, -8, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.008 - -2.108. Let r be 4 + -6 + 8 - (-2 + 8). Which is the smallest value? (a) r (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/21 + 38\/14. Suppose -4*w - 4*p = -9*w - 120, -s*w - 2*p = 94. Let j = w - -91. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 5*k**2 + 7*k - 5. Let o be r(-5). Let m = o - 30. Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = 0, 56 = 5*f - 0*x + x. Suppose -4*z - f + 76 = 0. Solve 5*n - 3*k = -0*k - 20, -4*n + 4*k = z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-21)\/6)*9\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(65) + 2*-2*sqrt(65)))\/(6*(1*sqrt(180) + sqrt(180) + sqrt(180))) + 1.\nAnswer: sqrt(13)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:31 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300216 (base 7) to base 9.\nAnswer: 76276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13909884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 81 - 25 = 0. Let j = -18 - h. Suppose -2*n + j = 3*n. What is the lowest common multiple of 9 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70100, 70101, 70102, 70103, 70104?\nAnswer: 70105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 5*r**3 - 7*r**3 + 6*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 735 and 4200.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429*a*h**3 + 2*a*h**2 + 5*a*h + 10*a - h**3 + 26*h + 2 wrt h?\nAnswer: -2574*a*h + 4*a - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 4. Let m be c(7). Let g = 0 + 0. Let -l**2 + g*l**2 + 4*l + l**3 + m*l**2 - 3*l**3 = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 4. Let u be 1*1*-2 - 3. Let w be n(u). Suppose 4*l + 8 = -5*o + 33, l = 0. Solve 3*f - 4*h = -27, o*f + 23 - w = -h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 1. Let v = p - -10. Let y = v + -3. Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -d + 35. Suppose 9*h - 473 = -d*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 222\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.909542 millennia?\nAnswer: 79.09542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268818229 to the power of 1\/2, to the nearest integer?\nAnswer: 16396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162 - -196.3.\nAnswer: 358.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 84*a - 1768. Give f(100).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2387158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/8)\/1)\/(18\/(-36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1403646 (base 7) to base 12\nAnswer: 8b936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*u**5\/2 + 47*u**4\/4 - 249*u**3\/4 - 8*u**2 + 3*u = 0. Calculate u.\nAnswer: -3, -2\/7, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 3}. What is prob of picking 2 s and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21457 or -21455?\nAnswer: -21457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g - 7. Calculate j(5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + -12 - -461 - -13 is divided by 161.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -24*a - 5. Let q(p) = 13*p + 3. Let c(v) = 11*q(v) + 6*x(v). Suppose -3*g + 5*g = 16. Give c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*h + 141*h - 144 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010001010 - 100111?\nAnswer: -11000010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.99 take away -15.284?\nAnswer: -7.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1703, -684, -7155, -19750, -40509?\n\"Answer: -340*j**3 - 2*j**2 - j + 2046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, i: 12}. Give prob of sequence iii.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 74*t**2\/3 + t\/3 - 74\/3.\nAnswer: -(t - 74)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 18 - (-3 + 5 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*u + 199041 + 600923. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3566953 days in hours?\nAnswer: 8.5606872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1022 * 185\nAnswer: -189070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5729054980 to the nearest one million.\nAnswer: 5729000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -66311*k. Let w(q) = -7*q. Give f(w(n)).\nAnswer: 464177*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 67 - 43. Suppose -p*q = -568552 - 931448. What is q rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75638.18 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 107. Let w = i + -145. Let s = -95.5 - w. What is s rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0890256 rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 1:54 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 197 = 11331. Let u = -580 + p. Solve 3 = -u*y - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*c**4*h**2 + 4*c**4*h + c**3*h + 43*c**2*h**2 wrt c.\nAnswer: 384*c*h**2 + 96*c*h + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 458.9 + -459. Which is the biggest value? (a) 0 (b) g (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 782\/7 + -8616\/77. Which is the closest to -1? (a) q (b) 5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136687017 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6771087*o**6 - 7744085*o**2?\nAnswer: 812530440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1763562 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(231) + -2*sqrt(231)))\/((sqrt(7) - (sqrt(7) + -1*sqrt(252) + sqrt(252))) + sqrt(7)))\/((sqrt(704) - 1*sqrt(44))*-5).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102 in -33, 11, 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -3\/28*a**4 - 3*a + 39\/14*a**2 + 2 - 5\/7*a**3. Factor d(k).\nAnswer: -3*(k - 1)**2*(k + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7266287 years?\nAnswer: 0.0007266287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010111 (base 3) to base 4\nAnswer: -30313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378133622?\nAnswer: 2, 189066811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -47 times 1.7\nAnswer: -79.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3079343791 to the power of 1\/2, to the nearest integer?\nAnswer: 55492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 54995*x**3 - 214727475*x**2 + 338991586625*x - 163677306657500.\nAnswer: -5*(x - 3385)**3*(x - 844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7011092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (-19 - -24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/132*4\/(8\/(-75)). Let y(m) = -m**3 + 8*m**2 - 6*m - 3. Let s be y(6). Let l = s + k. Calculate the smallest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0.3, 0, -2\/3, -6, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + ((15 - 17) + 4 - 5) - (-3 - -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 95431.2 years?\nAnswer: 954.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 52 - 32 = 0. Suppose -b*j + 110 = o - 87, -o = 3. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7633, 7674, 7713, 7750?\n\"Answer: -w**2 + 44*w + 7590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t + 8. Let d be f(3). Let v be (12\/90)\/(d\/10). Let l = -0.04 + -0.26. What is the fourth biggest value in v, -4, l, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.602 or 573?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1136 and (-408928)\/(-288) + 88\/(-18) + 5.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**4*n\/n**(6\/13))\/(n**0)**(-3\/19))**29 assuming n is positive.\nAnswer: n**(-928\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, 0, 55 in descending order.\nAnswer: 156, 55, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428486791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(24\/2)*2\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.4 + -6.4. What is the nearest to -3 in p, -0.08, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - r**4 + r**4 - 535*r**3 + 42*r**4 + 535*r**3 + 0*r**4 - 5*r**4 + 4*r**4 + (3*r**3 - r**3 - r**3)*(-2 + 2 + 3*r).\nAnswer: 46*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556407 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 4) to base 7.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 4448. Let i = 27776 - k. Round i to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -85. Let u(t) = 9*t + 2. Let k be u(2). Let b be (32\/k)\/((-4)\/s). Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1766934 and 12285.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 10) in base 12?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26748 or 133738\/5?\nAnswer: 133738\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 16*x**2 - 4*x - 13. Let o(f) = 4*f**2 - f - 3. Calculate -9*o(u) + 2*t(u).\nAnswer: -4*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3 - 9. Suppose -r = -i*r - 5. Let v = r - -5. Which is the third smallest value? (a) v (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.36699758 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {y: 4, j: 1, v: 2, k: 2, q: 4, o: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**1)**(14\/13)\/(i\/i**(-1))**(1\/18))**33 assuming i is positive.\nAnswer: i**(4015\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - (-26)\/(-3))\/(4*5\/90). Which is the nearest to 1\/18? (a) -5\/2 (b) 4\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 596, 1315, 2332, 3791, 5836, 8611, 12260?\nAnswer: 16927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3660.96 + 3661. Which is the closest to 1.3? (a) -0.1 (b) 0.3 (c) y (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let p(u) = -1 + 14*u**2 + 5*u**2 - 734*u + 735*u. Let w(b) = 6*h(b) - p(b). Give w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z. Let p(h) = 2*h. Let a(c) = -2*g(c) + 11*p(c). Let l(x) = -x. Let t(r) = -2*a(r) + 2*l(r). Let f(s) = 5*s**2. Calculate t(f(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235 + -78. Let s = -152 + z. Put -5, 0.19, s, 0.3 in descending order.\nAnswer: s, 0.3, 0.19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -113, -121, -145, -191, -265, -373, -521?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255 is divided by 460.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 5 = 4*m - 46*p, -2*m - 5*p = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*z, 3*g - 40 = -2*z - 3*z. Let a(u) = u**3 - 6*u**2 + 5*u + 1. Let y be a(g). Let s = 3.3 - -0.7. What is the closest to 1\/3 in -1\/7, y, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-6)*(0 + (-333)\/(-3)). Which is the biggest value? (a) -0.1 (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171 + 41 - -10) + 64.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, 254, 2, -5, -0.067?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 95, 54, -21, -136, -297, -510?\n\"Answer: -k**3 - 11*k**2 - k + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1496 in -3\/7, -2\/3, 393, 2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 421\/44 - 45\/4. Calculate the common denominator of l and 5\/(-2) + (-10)\/(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 5130*n**2 - 98156*n + 93024.\nAnswer: 2*(n - 18)*(n - 1)*(n + 2584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6875, -54958, -185467, -439616, -858619, -1483690, -2356043?\nAnswer: -3516892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7840 + 18185. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 7*w**2 + 2*w - 2. Suppose -o - 2*o + 35 = -4*r, -5*o = 3*r - 10. Is g(r) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*a + 311 - 287*a - 310 to v + b*a and give b.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006755 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*u - 35 = 0, 4*y + y + u = 51. Solve 0 = 4*s - 16, 5*s = r + y + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 4*o = -120. Solve o = -3*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -39cb?\nAnswer: 39cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/7, 0.3, 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 8 - -9 - (-3 + 1 + 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 4087.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3 - 16*g**2 + 168*g = 0.\nAnswer: -14, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -3 (c) 9 (d) -0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -779580.59903 + 779612.6. Let h = -32 + t. Round h to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2836 is divided by 850?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 17, r: 3}. Give prob of picking 1 r and 3 j.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (100\/(-15) - -6). Which is the second biggest value? (a) 5 (b) 0 (c) -1\/5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24510)\/(-387)*12\/55. Find v such that 722\/11*v**3 - 16\/11 - 508\/11*v**2 - 448\/11*v**4 + w*v + 98\/11*v**5 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1940 by 388.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 - a**4\/4 - 3*a**3\/2 - 83*a**2. Let y(u) = 7*u**3 - u. Let o be y(-1). Let s be q(o). Round s to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1\/3, 3\/49, 6, -0.2, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 16*m**2 + 5*m + 75. Let n be q(-16). Let p(t) = -t**3 - 39*t - 185. What is the least common multiple of p(n) and 9?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, t: 9}. What is prob of picking 4 z?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -901.6 - -363330303?\nAnswer: 363329401.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 19*l = 7*l + 161 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1cc - -1?\nAnswer: 1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24673, 24684, 24707, 24748, 24813?\n\"Answer: n**3 + 4*n + 24668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352768790, -705537578, -1058306366, -1411075154, -1763843942?\nAnswer: -2116612730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/90 - v**3\/45 - 7*v. Factor s(n).\nAnswer: -2*n*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -17 - (29 + -11 - 9 - 9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 25 - 30) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -190, -136, -30, 146, 410?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4 + 12. Let x be 1\/k + 11\/4. Solve x*q - 20 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297\/20 - -57\/4. What is the nearest to f in -4, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1306 and 19712764?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 8*h - 6. Calculate j(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/18 - ((-551)\/(-6) - 1). Let b = o - -205. What is the remainder when b is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**24)\/q)*q*q*q**13)\/(q**(3\/7)\/q**(2\/61)) assuming q is positive.\nAnswer: q**(16911\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let l = 1.707 + 0.293. Which is the closest to 0.2? (a) -2 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16373 + 1268 = 23*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 1109316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-12))\/((-1)\/6*1). Which is the nearest to 3\/2? (a) r (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/20 + a**4\/3 - a**3 + 11*a**2\/2 + 372*a. Determine h(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -3, 75 in descending order.\nAnswer: 75, 3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 15)\/(1\/2*(-7 - 9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*l**2 - 3970*l - 36288.\nAnswer: -(l + 224)*(17*l + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13899, 13601, 13301, 12999, 12695?\n\"Answer: -d**2 - 295*d + 14195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -626956.8 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -12. Let a = 2 + m. Let n = 6.4 + -5.4. Put -1, a, n in ascending order.\nAnswer: a, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 849\/8. Let j be ((-3)\/54 + 84\/1512)\/1. Let l = -19.4 - -19. Which is the nearest to j? (a) l (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36079, 72164, 108251, 144340?\nAnswer: 180431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935529198 and 1362?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 969 and -221.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 4. Suppose 3*w = -4*d + 6, 0 = 3*w - 4 - 2. Suppose d = -4*a - k + 217, -4*k = -2*a - 3*a + 266. What is the remainder when a is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314640 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 11*h - 2. Let c(t) = -t**3 + 3*t**2 + 4*t. Let z be c(4). Suppose -3*g - g + p + 49 = z, 5*g = 5*p + 80. Let a be i(g). Is -1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183.27 + 183. Let s = 0.1 + -0.03. Let w = d + s. Which is the second smallest value? (a) 0.3 (b) w (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 723 = 652. Suppose -q = -7*l + 278. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3981 + -2101. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -227, -521, -923, -1427?\n\"Answer: y**3 - 63*y**2 + 2*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21430*w**5 + 2*w**2 - 115*w?\nAnswer: 1285800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4837.63 times 0.3\nAnswer: -1451.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4)\/(u**6*u))\/((u\/(u*(u**(1\/2)*u)\/u))\/u)**(2\/165) assuming u is positive.\nAnswer: u**(-1371\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/47)*u*u*u))\/u)\/(u*u*u**5*u) assuming u is positive.\nAnswer: u**(-515\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) 0.1 (b) -2\/29 (c) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (1 - (-12)\/1). Let p = 24 - k. Differentiate -3 + 6 + p*c**2 + 4 wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*r = 5*i - 290, -i + 4*r = -155. Suppose -w + 4*a = -32, 216 = w + a + 189. What is the remainder when i is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -455.9481 - 0.0519. Let g = -220 - d. Let n = 236.0000227 - g. What is n rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 22 = -b. Let r(m) = -m**2 - 12*m - 19. Let l be r(-11). Let z = l + 13. Calculate the remainder when b is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10 and 2\/(-4) + 212\/28.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*l - 5. Let v be -3*(2 + -3) + -16. Let t = -10 - v. Sort l, t, 0 in increasing order.\nAnswer: 0, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -22. Let m = 2.1 + -2. Which is the third smallest value? (a) 0 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 78 = 61 + 260 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57603 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2409*w + 1561*w - 339*w + 2779*w.\nAnswer: 6410*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 47 = g, -282*t - 29 = -g - 279*t. Suppose 2\/3*o**g + 0 + 4\/3*o + 10\/3*o**4 - 16\/3*o**3 = 0. Calculate o.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*k + 5013 - 2613 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b - 54 + 15 + 26*b**2 + 3*b**3 + 204 + 233.\nAnswer: 3*b**3 + 26*b**2 + 44*b + 398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*s**2 - 2 + 2*s - 67*s**2 + 16*s wrt s?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8864 + 8864 - 816*o)*(1 + 2 - 2)*(4 - 4 - 2*o).\nAnswer: 1632*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 3*w - 3. Let d be o(-2). Let r(c) = -5*c + 7. Let i(n) = n - 1. Let x(a) = d*r(a) - 2*i(a). What is the first derivative of x(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 18 - 12. Let j(b) = b - 1. What is j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 244. Suppose -4*o + 51 - 159 = 0. Let j = o + 58. Calculate the remainder when n is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6600 and 157\/7162650?\nAnswer: 28650600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 6*d - 17897. Is d a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12240.12 - 12037. Let r = n - 203. What is the nearest to -1 in r, -4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 5. Let q be 1\/(3 + (0 - f)). Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) - (2*sqrt(28))**2).\nAnswer: -117 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 168?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -310311231 (base 4) in base 8?\nAnswer: -646555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*m + 138, -2*l = -0*l + 4*m - 108. Solve 33*f - l*f + 28 = 3*v, 3*f + 5*v = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.5. Let j = 0 + -0.3. Suppose 53 - 65 = 4*m. What is the smallest value in m, j, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16777 less than -0.4?\nAnswer: -16777.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (7 + 10)) + 6 + 1 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -57, -61.\nAnswer: -61, -57, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921531?\nAnswer: 3, 13, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 28*j**2 + 3. Let m = -17376 + 17371. Let a(b) = -14*b**2 - 2. Give m*a(r) - 3*w(r).\nAnswer: -14*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 636\nAnswer: 169\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3\/7 (c) 1\/2 (d) -3\/10 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Let m(y) = -3*y**2 + 40*y**3 - 22*y**3 + 2*y - 16*y**3 - 6. Is m(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 2*k + 1, 3*d - 18 = -3*k. Let g(o) = o - 1. Let t be g(d). What is the greatest common divisor of 70 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19561 - 72.9723639\nAnswer: -19633.9723639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/3 - j. Suppose -5 + 1 = -2*h. Give w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/6)\/((4\/14)\/((-1188)\/(-693)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (14 + (-5 + 2 - -2 - 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14023463 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -2*z, 3*z - 5*d - 12 = -2. Suppose z*a - 2*a + 16 = 0. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -78650?\nAnswer: 78651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiu when three letters picked without replacement from {t: 1, u: 7, e: 3, k: 3, b: 1, i: 2}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17\/5, 2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3827 not equal to -3830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - q = 1, 9*h + 27 = -10*q + 7*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20823.\nAnswer: 3, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x + 4*s + 46102 = -82*x, 2*s = 3*x - 138276. What are the prime factors of x?\nAnswer: 2, 5, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -9*j + 8. Suppose -3*y + 2*y = 2*k - 3, k = j*y + 24. Solve 0 = -k*i - 4*w, 4*i - w + 36 = 4*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24*v + 102. Give g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.02 + 0.02. Let j be -2 + 0 + -1 + 3. Which is the closest to j? (a) -4\/7 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*o = 11*s - 10*s - 3, o - 81 = -27*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 20*x + 7 = 0. Let g(u) = -48*u - 2. Let n be g(x). Let d be (311 - 11)\/((-3)\/n). Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 9, 1, -27, -81, -167, -291?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - -30 - 87 - 71?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/(-8)*(110\/120 - 3\/12)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*c - 349409 + 1362833 + 926640 = 0. List the prime factors of c.\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, w: 3, u: 4, e: 5, i: 2}. What is prob of picking 1 w, 1 i, and 1 u?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + (sqrt(1575) - sqrt(63))*3)*-2)\/(sqrt(9) + sqrt(1296) + sqrt(1296)*-2 + sqrt(108)\/(sqrt(12)*-2)).\nAnswer: 52*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -3692119.\nAnswer: 22\/3692119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -12 + -3)\/(7 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50, 137, 298, 569, 986, 1585, 2402, 3473?\n\"Answer: 6*i**3 + i**2 + 42*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -96, -2, -4, 3, -1\/2, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 4*l**2 - 2*l + 2. Let n(b) be the second derivative of 9*b**5\/20 + 2*b**4\/3 + 5*b**3\/6 - 5*b**2\/2 - 804*b. What is -5*c(a) - 2*n(a)?\nAnswer: 2*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 9*i**2 + 13. Let t be h(-9). Let w = 1 + -7. Let l be 15*-1*2\/w. Solve 2 + t = -l*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 118. What is the nearest to -2\/5 in 0.5, t, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 + 35*n - 45*n + 9*n**5 wrt n?\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14136090 and -608919.\nAnswer: -14745009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1126 - -1126. Sort -6, 31, m, 1.\nAnswer: -6, m, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3817132*f**3 - 1691475 wrt f.\nAnswer: 11451396*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*k - 4*y - 42, -3*k + 42 = -5*y. Let g = -28 - -68. Suppose m - g - k = 0. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171) + 2 - -1*sqrt(171)*-6)**2.\nAnswer: -90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -128. Let b(i) be the first derivative of 0*i**j + 0*i**3 + 0*i**4 + 4\/5*i**5 - 2*i + 4. Find the first derivative of b(u) wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from {w: 16, n: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6916, 6910, 6900, 6886, 6868, 6846, 6820?\n\"Answer: -2*i**2 + 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (40\/4)\/(-220)*4*2\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s - 7. Let j(f) be the first derivative of -1 - 11*f + 11\/2*f**2. Let c = -9 + 14. What is c*j(v) - 8*m(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -555, -512, -441, -342?\n\"Answer: 14*y**2 + y - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 6649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 2. Let a(y) = -4*y + 8. Let o(x) = -x + 1. Let b(k) = a(k) - o(k). Suppose 2*m + 0*s = -3*s + 9, -31 = -5*m + s. Determine m*b(r) - 21*f(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 2*j, -3*r = -3*j + 6. Suppose 0 = r*h + h. Suppose 4*v = 56 - 40. Solve v*i - 2*i - 2 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*v - 3*v**3 - 2*v**2 + 54*v)*(-40*v - 38*v - 4*v).\nAnswer: 246*v**4 + 164*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from qyyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26804 rounded to 3 decimal places?\nAnswer: -0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120383 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 + 3*d**2 - 2*d**2)*(-1 + 2 + 1)*(-d + 0*d + 0*d)*(-2 - 6 + 31) to v*d + b + q*d**2 + m*d**3 and give m.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-2))\/(268 - 261).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + -2*sqrt(11) - ((0 + sqrt(704) + sqrt(704))**2 + -1).\nAnswer: -2817 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 423360 and 396360?\nAnswer: 155373120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 34 = -2*t, 4*t - 5*c - 31 = 37. Solve g + 5*m + 29 = -3*g, 0 = 3*g - 4*m - t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q. Let t(c) = -1032 + 2059 - 36*c - 1027. What is -27*n(u) - 4*t(u)?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-13 + 6 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 8*u - 296 + 293 + 5*u - 8*u.\nAnswer: -15*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 3}. Give prob of picking 2 r and 1 v.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1292 - 8*d + 645 + 823 as c + y*d and give c.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 454382977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 g when four letters picked without replacement from mcgcccmgmsg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22415046 a multiple of 3035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6429343*j**3*x - 325*j**2*x + 4*j**2 + 2*j - 80*x wrt j?\nAnswer: 38576058*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006629.\nAnswer: 3, 13, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 56*s**2 - 4*s - 3. What are the prime factors of d(-1)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**2\/2 - w + 1. Suppose s + 232 = 3*s - 4*v, 3*s = v + 358. Let y be (-48)\/s - 46\/10. Give x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from uununnnn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3 + 13 = 0. Find the first derivative of 3*g + g**q - 3*g + g**2 - 1 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 0 - p - 24.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j - 1052 = -2428 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = a - 4*w, 2*a + w + 3*w = 92. Let b = 42 - a. Suppose -i - b*c - 12590 = -1410, 3*i + 33580 = -4*c. Round i to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/4 + 7*r**3\/3 + 3*r**2\/2 - 4*r + 4. Calculate the least common multiple of v(-6) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -211*d - 2490. What are the prime factors of t(-82)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4662 divided by -7.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7\/3)*k**(-3\/7)*k*(k**(2\/3))**14*(k*((k\/(k\/(k\/(k**(-8)*k)*k)*k))\/k)\/k*k*k**(1\/14))\/(k\/((k\/(k*(k*(k**(-1)*k*k)\/k)\/k))\/k))**7 assuming k is positive.\nAnswer: k**(23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 2. Let h be b(2). Suppose 0*r - 12 = 4*g + h*r, -g = -3*r + 3. Let y(p) = p**2 + 4*p + 5. Calculate the least common multiple of 3 and y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + s**2 - s. Let n be w(-2). Let h = 61458 + -61458. Put n, h, 4, 2 in decreasing order.\nAnswer: 4, 2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)\/(9\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 83*t + 5 - 163*t + 78*t. Let n(x) = -4 + 4 + 4 - 3. Give b(u) - 3*n(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3098*f**2 - 3100*f**2 + 12372*f**2 - 3103*f**2 - 3072*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*i + 7 = 11, 4*i - 31 = -s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 8 = -29*i - 77 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 60, 86, 112, 138, 164?\n\"Answer: 26*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**3 + 20*q**2 + 1\/4*q**4 + 0 - 2*q. Let d(b) = 16*b. Give g(d(t)).\nAnswer: 96*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 14. Let n be f(-12). Suppose -6 = 6*z - 3*z, 2*z + n = -m. Suppose 2222 = 4*w - w - h, 0 = -w + m*h + 749. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.24 - 0.04. Let f = n + -13.2. Let i = 12.1 + f. Which is the nearest to i? (a) 3 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/25 of a hour?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -17*k + 95 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -267cc + 405?\nAnswer: -263c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/80 - 5*l**4\/96 - 3*l**3\/16 + 9*l**2\/8 + 87*l. Factor g(k).\nAnswer: (k - 3)*(k + 2)*(2*k - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from {q: 1, h: 2, a: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-one halves of a centimeter?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of (-7)\/2 + (-24)\/288*-5562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**3 + 18*k**3 + 19*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 18 = 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 - 7. Let z(u) = u**2 + 5*u. Let j be z(-5). Put -3, j, l in descending order.\nAnswer: l, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 5*b + 20*u - 17150, 0 = -2*b - u + 6860. What is the greatest common divisor of 80 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300190.9 rounded to the nearest 1000?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 80*f. Is i(2) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:37 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23095013 and 943?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8713.4405 less than -0.238?\nAnswer: -8713.6785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {q: 1, b: 1, u: 1, w: 11, h: 5, l: 1}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(2*-2))\/((-4)\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1951, 1952, 1953, 1954, 1955?\n\"Answer: w + 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/60 - 5*h**4\/24 - h**3\/3 - 6*h. Let p(a) be the second derivative of f(a). Differentiate p(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-9))\/((-2)\/(-76638)).\nAnswer: 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.057 to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vva?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 93*n**2 + 6009*n - 107192. What is z(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -211. Let i(z) be the first derivative of 7\/5*z**5 + 0*z**u + 0*z**2 + 0*z - z**3 + 6. What is the third derivative of i(o) wrt o?\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 4384386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.12 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-1.26791.\nAnswer: 0.760746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28880842 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237564171 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 10*y - 19. Let t be a(7). Let o = 24 + 8. Suppose t - o = -2*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-7)\/(-21))\/((-2)\/(-378)) and 483?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*y**3 + 323*y**3 + y**2 - y**2.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/7 + -2\/35. Let k = -82 + 77. Put u, k, 3 in ascending order.\nAnswer: k, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 3, j: 16}. What is prob of picking 1 e, 2 j, and 1 p?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18308854 to the power of 1\/2, to the nearest integer?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569*q = 566*q + 3384. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 690, 2117, 4928, 9591, 16574, 26345?\nAnswer: 39372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -483, -0.1, -2\/3, 1.258?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 2*s**2 + 0*s - 1\/75*s**5 - 1\/300*s**6 + 0*s**3 - 1\/60*s**4. Factor h(k).\nAnswer: -2*k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 55*i**2 - 81*i - 17. List the prime factors of j(25).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550, -1258, -6160, -15704, -31438?\nAnswer: -54910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-4690.5177.\nAnswer: -938.10354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -6, 0.3, 4\/2131, -2?\nAnswer: 4\/2131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 2 (c) -2\/17 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1682\/7 + 5011\/21. Sort -5, -4, 3, 0.7, g.\nAnswer: -5, -4, g, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54543, 109028, 163477, 217890?\nAnswer: 272267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-5 - -3) - -10536 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943 = -9*y - 286. Let z = -57 + y. Suppose -z - 68 = -t. What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*v + 12 = -m, 2*m = 4*v - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 - (-551)\/(-56). Let g = p + 301\/40. Suppose -5*w - 4 = -4*w. Is w >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*c**3*d + 52957*c**3 - 1172*c*d + 4*c - 24*d + 6 wrt c?\nAnswer: 564*c*d + 317742*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z - 10*z + 3*z)*(z + 0 + 0) + 2*z**2 + 0*z**2 + 0*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-195)\/(-18))\/(-13)*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130313 - -1101?\nAnswer: 132020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1402*o**2 - 18395*o - 2196. Calculate d(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 11*r + 3*r + 0*r - r + (-2 - 2*r + 2)*(-1 + 0 + 3).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 - 36*z**3 - 2*z - 8*z**3 + 50*z**3 to h*z**3 + b + i*z**2 + w*z and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12413416 and 4.\nAnswer: 12413416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*w + 1353*w = -1128*w - 162630 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -355340.\nAnswer: -355335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - y**2 + 3*y**2)*(-y - 283174 - 2*y + 281751) as x*y + u + i*y**2 + w*y**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - 2*(sqrt(130) - -1*sqrt(130))) + sqrt(130))\/sqrt(10).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*u**2 + 22*u**2 + u**3 + 28*u**2 - 1 - 2*u**4 - u - 68*u**2 as r*u**3 + y*u**2 + d*u + i*u**4 + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -28 - 319*m**3 - 27 + 50 - 9*m**2 + 318*m**3 - 9*m. Suppose h + l + 4 = -7, 34 = -5*h + 2*l. Give d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + k**5 + 1 + k - 4*k**4 + k**2 + 0*k**2. Let j(v) = v**4 - v**2 - v - 1. Let q(u) = -5*j(u) - 5*p(u). Suppose q(l) = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n - 2*v, 4*v - 1 = -n - 17. Suppose -n*q + 20 = -2*q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 204424165 + -60?\nAnswer: 204424105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/859, -11, -4 in ascending order.\nAnswer: -11, -4, -3\/859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2. Let j(w) be the third derivative of 1471*w**5\/60 - 17*w**2 - 41*w + 1. Calculate j(u(r)).\nAnswer: 13239*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/21 + 16\/21. Let k(i) = -i**2 - 9*i + 11. Let r be k(-10). Let s be (-3)\/(-5) - (r - 0). Which is the third smallest value? (a) -1\/7 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -3160530.\nAnswer: 12642120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-16)*(1 + -27).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*p**2 - 431*p**2 + 9*p + 316*p**2 - 9*p.\nAnswer: -825*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 - -86.8. What is the smallest value in a, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 8*y + 2. Let h be z(8). Suppose 4 = h*w - 4. Let q(k) = -k**3 + 3*k**2 + 4*k + 2. List the prime factors of q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -52*s + 90. Let w be z(2). Let g(j) = -2*j**3 - 24*j**2 - 56*j - 22. What is the hundreds digit of g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7205\nAnswer: 720.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209784 is divided by 4660?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1314*f**2 - 951*f - 3. Let y(x) = -22336*x**2 - 16168*x - 52. Let c(b) = -52*i(b) + 3*y(b). Find the second derivative of c(v) wrt v.\nAnswer: 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 5 = 0. Suppose -k*y + 12 = -3. Suppose y*o + o - 104 = 0. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132735*h**5 + 2*h**3 - 105067*h + 2.\nAnswer: -2654700*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:14 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(432) + 1)*-4*6.\nAnswer: -288*sqrt(3) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8 + 1 = 0, 2*n = -5*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 + 57*o + 1 + 12*o**2 + 13*o**2 - 17*o**2.\nAnswer: -3*o**2 + 57*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 35. Let d(t) = -t**3 + 25*t**2 + 34*t - 5. Let o be d(25). Let n(c) = -423*c + o*c - 423*c. Determine v(n(x)).\nAnswer: 3*x**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**13*u*u**(-11)*u**(-1\/11)*u**(-5) assuming u is positive.\nAnswer: u**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 67*m**2 - 4235*m + 164299. What is r(49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-24) + (-1475)\/(-30). Let q = v - 29. Solve 3*d + t = 2*d - 6, -3*d = 5*t + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31667826 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 18\/10 + (-480)\/100. Which is the second smallest value? (a) 0 (b) -8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146737.1 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 27*o - 15. Give r(-11).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74, -119, -224, -389, -614?\n\"Answer: -30*u**2 + 45*u - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 - -2 - (-51)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6066786379 to 4 decimal places.\nAnswer: -0.6067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(60) - sqrt(240)\/sqrt(36))\/sqrt(12))**2 + sqrt(125) + 1 + 5 + 1.\nAnswer: 92\/9 + 19*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 118863.464 to 0 dps.\nAnswer: 118863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*y - y + 15, -5*u + 15 = 5*y. Let s(c) = 0 - y + 3 + c. Let q(a) = -14*a. Let i(l) = -l. Let v(o) = 40*i(o) - 5*q(o). Give s(v(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 4. Let o(a) = 2 + 5*a - u*a - 3*a + 5*a. What is o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255364 (base 9) in base 2?\nAnswer: -100101110011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 580501543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14818, -14822, -14830, -14842, -14858, -14878?\n\"Answer: -2*c**2 + 2*c - 14818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -118 (b) -0.21 (c) -2\/3299 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 8425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2347784 seconds?\nAnswer: 234778.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 + 2*q. Let u be c(2). Let r = 35\/3 - 12. What is the nearest to r in 4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 + 3 = -s, 2*s = -5*n - 6. Let r be 1\/3 - 47\/s. Suppose 16*d = 1103 + 689. What is the highest common divisor of r and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = 2*m, 2*a + 0*m = -m - 2. Suppose -3*j - 4*h = -30, -3*h - 65 = -5*j + j. Solve 5*l + a*k = -4*k - 6, -5*k = 3*l + j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1565.824 - 1573. Round q to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7362 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 14*q + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483 and 3864?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36483739 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-616 - 131 + 183 - 229 - 326)*(0*r - 12*r**5 + 0*r).\nAnswer: 13428*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.84 + -0.74. What is the closest to s in -4, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.85 - 1060432991?\nAnswer: -1060433092.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5654963044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(-6\/17)\/(y**(-4)*y*y\/(y\/(y\/(y\/(y\/(y\/(y**(-2\/3)\/y))))))) assuming y is positive.\nAnswer: y**(467\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {e: 3, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 546, 1093, 1640, 2187, 2734, 3281?\n\"Answer: 547*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 325 or 0.2?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 5 - 35 = 0. Let w = -98714\/39 - -2531. Is w at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.057 or -1462662?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-106)\/(-22) + 28\/154. Solve -m*x - 4*r + 9*r - 25 = 0, 4*r - 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - a - 6 = 3*m - 2, 20 = 5*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/17))**(12\/11) assuming w is positive.\nAnswer: w**(216\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(-4 + sqrt(833)*-1 + sqrt(833) + 0 + (1 + sqrt(833) - sqrt(833)) + sqrt(833) + sqrt(833))*-6 + -4)**2.\nAnswer: -427392*sqrt(17) + 17318032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/((-2)\/(-32)). Let c(y) = -2*y**2 - 6. Let w(d) = d**2 + 2. What is q*w(k) + 3*c(k)?\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 19*o**2 + 8*o - 18. Let i be k(-10). Let z be (60\/(-18) + 4)\/((-3)\/(-99)). Calculate the highest common factor of i and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 374*m**2 + 375*m. What is r(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6027740 * -0.3\nAnswer: 1808322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h - 10*h + 6*h to z + x*h and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, c: 7}. What is prob of sequence sccs?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x - 9. Let t = 6 + x. Suppose q - 6 = t*v, 0 + 12 = 5*q + 3*v. Let m(j) = j**2 - j - 1. Determine m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2096577 to 4 dps.\nAnswer: 0.2097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 + -2011201?\nAnswer: -2020032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/((-6)\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/408)\/(14*(-2)\/48).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 10) in base 7?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1911)\/78)\/(-49)*6*10\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:18 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6828 - -6831. Suppose -n + 1 = -2*l, 6*n - 20 = 2*n. Solve 5*g + 2*q + 16 = 3*q, l*q - 4 = b*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 197811.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {d: 3, y: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/6 and 31\/141488132.\nAnswer: 424464396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 208.\nAnswer: -87\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/2)\/(1341\/(-894)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 14 + 17 - 10)*(18*r + 16*r - 44*r) to the form m + v*r and give v.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + -3 - 2. Let k = -5 + 4. Let c = k - m. Solve -4 = c*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 69*i - 5266. Let x be u(-46). Suppose 5*j - 528 = j. What is the greatest common divisor of x and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968548 is divided by 484237?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5 - 4*j**3 - 291225*j**2 + 11040165*j?\nAnswer: -60*j**3 - 24*j - 582450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520165?\nAnswer: 5, 304033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 + 101. Let h be u(0). Suppose -11 = 5*n - h. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/5)*r**(-1\/3)*r**(-6)\/r*(r*r*r*r**(-5))\/r)**(-2\/97) assuming r is positive.\nAnswer: r**(268\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 323\/90 - (-18)\/(-90) and -91\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - 29 - 5*o**3 - 4949*o + 4948*o - 2*o**2)*(o - o - o) in the form a*o**3 + m*o**2 + t*o**4 + x + f*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 9*c + 4. Let w be t(11). Solve -5*p - 2*j + 27 = 6, -4*p + 3*j + w = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwgfqwwwiwwffgwf. Give prob of picking 1 f, 2 i, and 1 g.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 21*l - 78 = 0. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) -221 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 3\/3)\/(-3). Let i(m) be the first derivative of -1\/2*m**2 + 1\/2*m**4 + 2 + 0*m + d*m**3. What is the second derivative of i(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586808062?\nAnswer: 2, 3, 11, 84648607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40977765*j + 2*j**3 + 40977765*j + 0*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 1, i: 9, x: 7}. Give prob of sequence iie.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 28.17. Let h = s + 0.37. What is the second biggest value in -1\/2, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-279)\/21 - 2\/(-7). Find the common denominator of 158\/(-132) + m\/(-39) and 89\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 631 - 567. Calculate the greatest common factor of 64 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.42419 seconds to minutes.\nAnswer: 0.3737365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + -561834?\nAnswer: -561809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - 4*w**3\/3 + w**2 - 10*w + 18. Let k be m(-5). Solve k*s + 3 - 28 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*m - 372754 + 62276 = -129*m + 2229*m for m.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1197 divided by -3.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 140 = -76. Suppose -2*v + 2*c = -2*c - y, c = 5*v - 108. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w - 3 = 0. Let n(z) = -z**3 - 1. Suppose 6 = -0*p + 3*p. Let o(a) = -a**3. Calculate p*n(v) + w*o(v).\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1029 + -1023.996. Let w = s - 0.004. Put w, -12, 1 in descending order.\nAnswer: w, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -7, 0.08, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -4, 16580 in decreasing order.\nAnswer: 16580, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292387 is divided by 74.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -73. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305946.87 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**2 + 1025*v + 136. Let h be d(-49). Solve -20*t = 63*t + h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37853 - 37843. Solve 27*r - 68 = n*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1660130 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 27546372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -41)*((-70)\/(-4))\/5. Let v = 131 + i. Is 38 a factor of (2\/6)\/(v\/(-414))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 17. Let j = t + -4. Let x(q) = q - 6. Let u be x(j). Which is greater: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13411176?\nAnswer: 2, 3, 353, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (440*r - 22 - 439*r - 60)*(3*r**2 + 3*r**2 - 4*r**2).\nAnswer: 2*r**3 - 164*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 380203408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5 - 7*h - h**2 + h + 3*h. Calculate g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -2783.0181?\nAnswer: 2782.6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + -2 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9095725 centimeters?\nAnswer: 9095725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354830533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 25*h - 20. Calculate f(7).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10151.66225308 and -0.1.\nAnswer: -10151.76225308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 9:46 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let q(u) = 2*u**2 - 441. Determine q(l(j)).\nAnswer: 2*j**2 - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -68 times 23807.3\nAnswer: -1618896.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-3*((-7)\/((-210)\/20))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 29*c + 110. What is the tens digit of t(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/35 + 1\/5. Let r be (0 + s + 96\/60)*5. Solve 0 = r*b - 0*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/5 - (-18)\/5. Suppose -6*r + r = y*g + 44, 2*g = r + 14. What is the units digit of -2*((-1275)\/r)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z, -5*z - 11 = 2*y - 1. Let l be -1 + -1 - (y - 3). Let t = -3 + 2. Sort l, t, -3 in increasing order.\nAnswer: -3, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:46 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r = 36*r - 18. Let o(p) = -p**2 - 4*p + 37. Let k be o(r). Which is bigger: k or -9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 + 5 = 4*p, -p + 3*u = -1. Suppose m + 4*f - 15 = 0, -7*m + p*f + 160 = -3*m. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*t + 8961 - 3025. Calculate the highest common factor of t and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0208 * -6.003.\nAnswer: 0.1248624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 411673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.02 + 49.4257. What is j rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c7c (base 15) to base 11\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 12, -4, -36, -90, -172, -288, -444?\n\"Answer: -r**3 + r**2 - 2*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let k(d) = -9*d - 59 - 7*d - 18*d + 34*d + 63*d**2. Determine a(k(g)).\nAnswer: 126*g**2 - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -517603.\nAnswer: 517603.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 3. Let d be y(-1). Let a(t) = 2*t**2 - 5*t - 1. Let s(c) = -c**2 + 3*c. Let m(g) = d*s(g) - 3*a(g). Give m(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4023.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*((-18)\/(-4))\/(-1). Suppose q = -5*a + k, 0 = q - 3 + 1. Suppose -a*j = -j - 16. Solve -5*t - 31 = 3*p, -j*p - p - 5*t - 35 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -250 or -251?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 20 - 58. Factor -y*a - 8 + 0*a - 20*a**2 - 15*a.\nAnswer: -4*(a + 1)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 11*a - 44. Let v be x(-15). Let k be 78\/v + (-52)\/(-416). Solve 2 - 22 = k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = r - 51, -2*z + 4*r = -0*z - 48. What is the smallest common multiple of z and 343?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 14*i**2 + i + 14. Give o(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49532 + -23824. What are the prime factors of r?\nAnswer: 2, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 86*x - 1654. Let m be w(19). Let i(g) = 0 - 1 + 0. Let q(j) = -2*j**3 - 8*j**2 - 8*j + 10. Let l(n) = m*i(n) - 2*q(n). Determine o so that l(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5706 divided by -634\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 18. Let t be u(-4). Solve -t = 6*i - 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 238.94?\nAnswer: -23.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3594.71 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2860*u - 2859*u - 8*h - 69 = 0, -4*u = -5*h - 60 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -6*t**4\/7 - 58*t**3 + 2032*t**2\/7 + 1560*t - 43200\/7 = 0?\nAnswer: -72, -5, 10\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14303, 14287, 14273, 14261, 14251?\n\"Answer: g**2 - 19*g + 14321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 2*i**2 - 4*i - 3. Let x be z(-2). Suppose 3*m - 3*o = -m + 296, 0 = -o. Let u = m + x. Calculate the highest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22.56308 and 0.1.\nAnswer: 22.66308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75632*b = -75649*b + 391 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 smaller than -4180573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4)*(j*(j\/(j\/j**1))\/j)\/j*j)**(-49) assuming j is positive.\nAnswer: j**(-441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -15. Suppose 7 = -a*k + 22. Suppose -k*q = -5*x - 18, -2*x = -2*q + x + 11. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(14)\/(4*sqrt(2)*4 + sqrt(2)) + 5.\nAnswer: sqrt(7)\/17 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -67*a + 4. Let k be h(-3). Suppose 61 = 4*u + k. Let d = u + 66. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 27*s - 201. Give t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899 = -3*r + 78*r + 3646 + 1305 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 16522.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(165) + -2*sqrt(165) + sqrt(165) + sqrt(165))\/sqrt(11) - sqrt(15)))\/(-3*(sqrt(120)\/sqrt(2))\/sqrt(12)) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 - 170*c**4 + 9745*c**3 - 194600*c**2 + 360640*c - 175616 = 0 for c.\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1849*c - 1122 = 3730*c - 1815*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a90 - -5?\nAnswer: 2a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5057 + -5057.4. Which is the closest to 1\/94? (a) 2\/9 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.3. Which is the smallest value? (a) -4\/5 (b) k (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22042 = 3*l - 1997, 0 = -2*l + 10. List the prime factors of k.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/27 and -15 + 11 - (-1175)\/(-720)*-2?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1449712157 + -2589185977579\/1786. Let p = a - 6\/893. Find the common denominator of p and (3\/7)\/((-32)\/700).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.19519 and 5.36782?\nAnswer: 5.56301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j**3\/7 - 172*j**2 + 84992*j\/7 = 0. What is j?\nAnswer: -256, 0, 166\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 3718*t - 194245 = 0. What is t?\nAnswer: 53, 3665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 21. What is the tens digit of 49 - -2 - (7 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*v + 25 - 8, 6 = -h + 4*v. Calculate the greatest common divisor of h and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 10*f - 10. Sort -4, 5, f in decreasing order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q - 4*q + 4*q)*(0*q + q + 0*q) + 0*q - 3*q**2 + 0*q as o*q**2 + t + d*q and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -613 * -72.09\nAnswer: 44191.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.2. Which is the third smallest value? (a) j (b) -5\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4393, 2736, -49, -3968, -9027, -15232, -22589, -31104?\n\"Answer: -c**3 - 558*c**2 + 24*c + 4928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.2 + -25.21. Let k = -0.01 - r. What is the smallest value in 1\/4, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -180, -367, -554?\n\"Answer: -187*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4446303m to micrometers.\nAnswer: 444630.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 299 = o + 5*o - 4 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 23810 + -15134. Suppose -5*x + o = -4*g, -5*x = -3*x - g - 3471. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6 + 4. Let g = 45 - -4. Suppose -j*l = -g - 11. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -76. Let r be (-48)\/(-22) - (2 - 0). Is r != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*r + 5*y + 6, 2*y = -4*r + 2. Let f = 1 - -1. Is r greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/137041 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3\/3 - 2*q**2 - 14*q + 10. What is the hundreds digit of i(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 212753 and 0.027136.\nAnswer: 212753.027136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*s**4 + 5*s**2 + 28*s**4 + 2*s**2 - 5*s**2 - 2 - s to m*s + r*s**4 + f*s**2 + o*s**3 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -403580 times -153.2?\nAnswer: 61828456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 + 582. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from vvpmp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f + 2. Let l be m(-6). Suppose 2*o + 5*a - 25 = -3*o, 4*o - 17 = -3*a. Solve l*p - o = 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 21*r. Let b = 11 - 9. Does 14 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18110620 and 1320.\nAnswer: 108663720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 2:58 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-5))\/8*(-112)\/(-36).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 807, 783, 731, 645, 519, 347, 123?\n\"Answer: -y**3 - 8*y**2 + 7*y + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*o + o + 0*o)*(2199 - 2242 - 32*o**2 + 6*o**2) in the form u*o**2 + s*o**3 + m + p*o and give s.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28202 + 13283. What are the prime factors of g?\nAnswer: 5, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 - 28*c**4 - 60*c**3 - 20*c**2 + 64*c + 48 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 30*d**3 + 72*d**2.\nAnswer: -3*d**2*(d - 2)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 2*r - 2*r + (r + r - r)*(-3*r**3 + 3*r**3 + 2*r**3).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 28*m**2 + 26*m - 20. Let a = -138 + 111. What are the prime factors of s(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -26, -4\/7, 7\/78.\nAnswer: -26, -23, -4\/7, 7\/78, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*y + 35, 2*o - 8*y + 3*y - 15 = 0. Let m be 8\/(-14) - (-2080)\/112. Solve -w + 4*w - 2*s = -o, 4*w + 2*s = -m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4 (c) 0.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 342 + -197. Let g = y - 228. Let b = g + 85.42. What is b rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75391630 rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 1:24 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -147*t - 2920. Calculate n(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-5)\/25 + 9*(-16)\/(-120).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 5*p + 0*p - 3*p. Let g(a) = 4*a**2 - 5*a - 5. Let k(h) = h**2 - h - 1. Let f(m) = 3*g(m) - 15*k(m). Calculate f(u(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -76. Suppose -d*k + 16*k - 6522 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-50)*(1018 + -1013).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 3*p - 5*p)*(-1 + 480*p**2 - 240*p**2 - 56*p - 238*p**2) to the form a + u*p + d*p**3 + m*p**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 3713?\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38*-3)\/((-10)\/20). Suppose 3*n - s - 435 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -260403 and -2083225\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366502 and 712?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4.5 (c) -0.4 (d) 66622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-12)*198\/(-1056)*-64?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 2. Let a be r(-2). Let o be (648\/a)\/((-12)\/40). Let d = o + -137. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/2 + -3 + -7. Let u be (8\/4 - 1)*j. What is the common denominator of -101\/8 and 1*u - 102\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 1360*y - 679*y - 681*y.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261102 (base 7) in base 8?\nAnswer: 504257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.97 - 0.03. Let u = -39 - -45. What is the third biggest value in t, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*b - 6*z + 19, 5*z - 7 = 4*b. Let c be b\/4 + (-371)\/106. Let o(r) = 12*r**3 - 3*r + 3. Let a(k) = 12*k**3 - 2*k + 2. Calculate c*a(n) + 2*o(n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976182631 to the power of 1\/2, to the nearest integer?\nAnswer: 44454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66052 and 160216?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173412555?\nAnswer: 3, 5, 53, 331, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b**3 - b**2 + b + 1. Let t be z(-1). Let c = -20 + 59. What is the highest common divisor of t and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3192, 4085, 4978?\n\"Answer: 893*r + 2299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 + 8085*f**3 - 4907703*f**2 + 29228247*f - 43733466 = 0.\nAnswer: 3, 911, 1778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14*a**3 - 129*a**2 + 4*a - 6. Let k(j) = -11*j**3 + 130*j**2 - 3*j + 6. Determine -4*k(d) - 3*t(d).\nAnswer: 2*d**3 - 133*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4362 - -4757. Which is smaller: c or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3 - 5. Let j be (-72)\/16 - s\/(-4). What is the smallest value in -0.5, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + 2.9. Which is the smallest value? (a) q (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 126, 107, 80, 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 7. Let c be i(-6). Let d(p) = p**2 + 1. Let n(h) = -5 + 1 + 3. Let o(j) = c*n(j) - d(j). Differentiate o(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21611.17 + -274390\nAnswer: -296001.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = h + 57962 - 58038, 87 = 2*h + 16*q - 81 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5207 + 6356. Which is greater: 1148 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 1 - 1 + 6*h. Let q = 16 - 9. Is v(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1619*q**2 - 183*q**2 + 84*q**2.\nAnswer: 1520*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6)\/(-3 + (-93)\/(-32)). Let v be (-110)\/7 + (-2)\/7. Is v greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5103930702 minus 0.54?\nAnswer: -5103930702.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y**2 + y + 1. Let b be n(5). Let q = -3 + b. Calculate the greatest common factor of q and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60021334?\nAnswer: 2, 53, 263, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -171*-14*45\/5670\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/30 + m**4\/6 + m**3 + 5*m**2\/3 - 36*m - 1. Factor a(k).\nAnswer: -2*(k - 5)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 + 8. Let b = t - 0.4. Let n be (-5)\/(750\/(-24))*10\/12. Put b, n, 3\/2 in decreasing order.\nAnswer: 3\/2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156 is divided by 359.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = -6*m. Let v be 3\/1 + 0 + (0 - m). Let q be -4*1\/(-8)*v. Solve 5*d - q*d = 3*a - 15, 3*a = -2*d - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9006?\nAnswer: 2, 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2 - sqrt(117)) + -1 - (-5 + sqrt(117) + 2*sqrt(117)) - (0 + sqrt(117) + 1 + -2)) + -1.\nAnswer: -21*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 5*u + 2. Let b = -4 + 1. Let q = b - 2. Give x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2462 - -2464. Which is smaller: 17\/33 or w?\nAnswer: 17\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429610 (base 16) to base 15\nAnswer: -5b2e97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + (-40)\/5 + 21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 414?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*y**2 + y**2 + 0*y**2 + 507 + 8*y**4 - 3*y**2 + 131 wrt y.\nAnswer: 32*y**3 - 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 7*p - 9*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v**3 + 6*v**3 - 5*v**3)*(-2*v**2 + 20*v - 15*v - 2 + 54*v).\nAnswer: -42*v**5 + 1239*v**4 - 42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 562999\/76 - 7408. What is the common denominator of 7\/22 and w?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3434575 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3221 - -5043. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - 3*w + 23. Let x(s) = 14*s**2 + 8*s - 69. Determine -8*k(h) - 3*x(h).\nAnswer: -2*h**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32559682 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 2*v + 49 - 148 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/59)\/v*v*v)\/v)\/v**(-27))**24 assuming v is positive.\nAnswer: v**(38280\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + x - 17 = -3*x, x - 40 = -3*u. Let j(c) = 16*c**2. Let a(r) = 8*r**2. Let m(g) = u*a(g) - 6*j(g). Let n(l) = 2*l. Give m(n(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 87*v = 235115. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + -1*(sqrt(19) + -1)) - (1*(sqrt(133)*2 - sqrt(133)))\/(3*(sqrt(63) + sqrt(7))).\nAnswer: -18 + 35*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.5 + -3.5. Let k = 2.34 - 2.14. Is k at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 68. Let g be 0\/((-2)\/(c\/2)). Let -1\/4*l**2 + g - 1\/2*l**3 + 1\/4*l**4 + 1\/2*l = 0. What is l?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 50*v + 124. Calculate b(7).\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + ((4 + sqrt(17) + -2)*6)**2.\nAnswer: 144*sqrt(17) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2212 divided by 39289\nAnswer: -2212\/39289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10731920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let k = -16 - -18. Put 1, u, k in ascending order.\nAnswer: u, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2654 - -47699\/18. Let b = -461\/4 - -93. Find the common denominator of t and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 546 + 546.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585 and 1976634?\nAnswer: 128481210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(216\/(-30)))\/((-39)\/((-27612)\/59)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 5459\nAnswer: 11\/5459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l - 2520. Determine m(-45).\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -4.8. Let u be ((-6)\/28)\/(24\/32). What is the second smallest value in g, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 6*t - 1332. Let r be 4\/(-30) - t\/210. Let w(o) = -12*o. Let y be w(1). Which is the fourth biggest value? (a) y (b) -0.1 (c) r (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-732)\/(-1281)*(104\/(-186) - (-47)\/141).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 74 = -h - 36, 0 = 4*h + 2*b - 80. Calculate the smallest common multiple of h and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 + p. Let d = -1 + 2. Suppose -b + 13 = 4*s, -6*s + 8*s - 8 = 0. Let r(n) = -4*n**3 + 3*n**2 + 4*n. Give b*j(t) + d*r(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 63*z + 2 - 67*z + 4. Give c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/60 - 3*f**2 - 2. Let y(x) = -47*x**2. What is y(n(w))?\nAnswer: -47*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2155, 4380, 6605, 8830, 11055?\n\"Answer: 2225*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2090 and 5702470.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:18 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3 - 144) + 3)*(-3)\/6. Which is bigger: x or 211\/3?\nAnswer: 211\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(26) - (1*sqrt(26)*-4 - sqrt(26)))\/sqrt(2).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 19 = -5. Let z(v) = -2*v - 3. Give z(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9)\/j)\/(j\/(j\/(j\/j**0*j))))**(-1\/33)\/((j**(-2\/3)\/(j\/((j*j\/(j*j\/(j\/j**4)))\/j)))\/(j\/(j*j**3)*j\/j**(-1\/5))) assuming j is positive.\nAnswer: j**(5867\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*s**3*x - 5403065*k**3*s*x - 8*k**2 - 70661*k*s**3 - 4*s*x wrt k.\nAnswer: 6*s**3*x - 32418390*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let l(b) = 4*b - 3. Let w(y) = 199. Let v(g) = -298. Let m(r) = 2*v(r) + 3*w(r). What is p*l(k) + 2*m(k)?\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*s + 1157760 = 83*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -1, 618 in ascending order.\nAnswer: -4, -1, 8, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1648 - -403. Let r be (1*6)\/(23600\/(-71232) - (-4)\/12). Let t = r - m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579864 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8235 and -64\/2585.\nAnswer: 4257495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 65115 divided by 1447\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2\/2 - 47*l + 95\/2 = 0.\nAnswer: -95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 90, 149, 208?\n\"Answer: 59*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 17*f + 9. Calculate the greatest common divisor of 81 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -122*j**3\/7 - 53052*j**2 + 383666*j\/7 - 1740 = 0.\nAnswer: -3045, 2\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -576594661 at least -576594659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17324 + 30253. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 7 + 3*l - l - 13 to the form b*l + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38013*c + 1544 = -38214*c - 8104 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 - 1005 + 214)*(0*r + 0*r - r)*(9*r**2 + 8*r**2 + 15*r**2)*(-2 + 3 + 0).\nAnswer: 28928*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 16 = 0, 0 = 4*c + 5*a + 56. Let t = 16 + c. What is the units digit of t*22*2\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 + 9*a**2. Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400850 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224.9968 - 0.0032. Let x = w + 128. Let f = 96.9999805 + x. Round f to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, f: 3}. What is prob of picking 2 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0 + 16\/5*g**2 - 64\/15*g**3 + 92*g + 1\/30*g**6 + 23\/10*g**4 - 47\/100*g**5. Factor c(r).\nAnswer: (r - 4)**2*(r - 1)*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*m = -4*g + 8, 0 = -3*g + 3*m + 48. Let b be (-2)\/(-9) - 318\/(-27). What is the greatest common factor of g and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + 0*w**3 + w**3 + (-3*w**3 + 6*w**3 - w**3)*(2 - 6 + 2) + (3*w + 2*w**2 - 3*w)*(-4 + 4 + w) - 3*w + 2*w**3 + 3*w + 2 - 2*w**3 - 2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1020 and -21\/5780?\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88 and 12?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*n + 49*n + 50*n)*(-2 - n**2 + 2*n**2 - 4*n**2) to w*n + m + j*n**2 + d*n**3 and give w.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r = -7*w + 101*r - 17, 5*w + 3*r = 51 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5952294881.\nAnswer: 13, 17, 26933461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(704)*-1*-2)*2)**2 - (-6*5*(sqrt(891)*2 + sqrt(891)))**2*2.\nAnswer: -14422872 - 512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-48))\/1*(-1035)\/(-276)*(-18)\/45?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-30*(-27)\/810\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 43*z - 30*z + 91 = 0, 0 = -5*i + 5*z + 395 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 52 = -7*d. Let t(x) = 5*x**3 - x**2 - 7*x + 4. Let w(f) = 9*f**3 - f**2 - 13*f + 9. Let i(p) = 7*t(p) - 4*w(p). What is i(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102677490949 + 2.\nAnswer: 102677490951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 112*q\/5 - 22.\nAnswer: -2*(q + 1)*(q + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + (-48)\/(-21). Let d = 0 + -2. Let s = 1874\/5 + -375. What is the closest to -0.2 in s, b, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2800*m + 2248429. Determine l(803).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(2346\/46)\/510.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66021*h**2 - 55228*h + 55228*h.\nAnswer: -66021*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3356649454 and -5.\nAnswer: 3356649449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3892 divided by 328.\nAnswer: -973\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + 2*v + 3. Let u(g) = -9*g**2 + 3*g + 6. What is 5*b(d) - 3*u(d)?\nAnswer: 2*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w - 1. Let a(l) = -19*l + 2. Let f(q) = 5*a(q) + 8*n(q). What is the first derivative of f(u) wrt u?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, 2, 12 in ascending order.\nAnswer: 0, 2, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let m(v) = 4*v**4 - 4*v**4 - 7*v - v**4. Let l(b) = 6*d(b) - m(b). What is the second derivative of l(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89940993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5160 + -5128. Calculate the highest common divisor of m and 3376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*b - 5, 0 = -5*r + 2*b + b + 22. Solve r*h = -2 + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34768)\/265 + 132)\/(-2 + 152\/75)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1152 or -1163?\nAnswer: -1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7437 + -3242. Suppose 0 = 9*d - v - 1655. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 375 = -513. What is the remainder when l is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -132, 3, 111, 0.187?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 3*k - 4 + 9*k - 8*k - 1.\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -19, -0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l - 2. Let k = -2 + -2. Suppose 4*y - 23 = -2*z + 27, 20 = 4*y - 4*z. What is the remainder when w(k) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*3 + sqrt(192) + -1)*3 - (-4 + -3*(-2*sqrt(3) + sqrt(3)) + -5).\nAnswer: 6 + 93*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*f, 4*f = -5*r - 13 + 3. Sort 3, 4, r, 5 in increasing order.\nAnswer: r, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706841 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: Convert 4234412313 (base 5) to base 7.\nAnswer: 135453266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*j + 3*j. Let i be (j\/(-12))\/((-2)\/13974). Let n = 18537\/4 - i. Calculate the common denominator of 51\/20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = 36554 - 36954 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = n + 20, 5*n - 137 = -162 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:19 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 34353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.13900704 and 54.\nAnswer: 53.86099296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*u - 5*l, -2*u - 62*l + 66*l + 8 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8357 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 15 - 171*h - 174*h - 221*h + 565*h. Let o(a) = 5*a + 3. Let w(k) = 4*k + 2. Let d(q) = -2*o(q) + 3*w(q). Determine d(c(m)).\nAnswer: -2*m + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*j + 106*j - 10 - 20 = 0. Calculate the greatest common factor of 339 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w + 2*w + 4 + 1 - 2*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (35\/10)\/((-10)\/20). Let i = -2 - -2. Sort -4, -5, i, q in decreasing order.\nAnswer: q, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -2.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 244. Let i be (12\/10)\/(l\/720). Calculate the greatest common divisor of 200 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/4290 and -29\/25.\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-130)\/(-3). Suppose -5*a - 74 = 56. Let k = a - h. What is the highest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)\/(k**(-8)\/k)*(k*k*((k\/k**(1\/4))\/k*k)\/k)**38 assuming k is positive.\nAnswer: k**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 - -113. Solve -x = s, -4*s + 0 - 24 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(500)*3 + -4)**2 - ((sqrt(500) + (sqrt(500) + 1 - sqrt(500)) + sqrt(500) + 5)**2 + -5).\nAnswer: -780*sqrt(5) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111001011 (base 2) in base 5?\nAnswer: -30440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 29959.09 millilitres?\nAnswer: 29.95909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.098*-1093.\nAnswer: 107.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - i - 4137 = 0, 16*i + 4133 = 5*b + 17*i. Let c = 49 + b. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-5 + -3 - -4) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(44)\/sqrt(4)) + ((sqrt(20) + 2 - sqrt(20)) + -3)**2 + sqrt(245)*-4 + sqrt(60)\/(sqrt(108)\/sqrt(9)))*6.\nAnswer: -150*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -3*i**6\/2 + 3*i**5\/5 + 6*i**4 + 4*i**3 + 9. Let h(y) = 0. What is y?\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - o**2 - 15707*o + 15707*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 19*(-15512)\/(-18088).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -680, -1821, -3862, -7253, -12444, -19885, -30026?\n\"Answer: -75*d**3 - 616*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18. Which is the fourth biggest value? (a) -9 (b) u (c) 0 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342784135829.099963 - -342783775981. Let h = 359845.9 + r. Let n = h - -2.2. What is n rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.5 + -7.6. Let g = 7 - 4. Let f be (-1)\/(-10) - 4\/(-20). Put y, g, f in descending order.\nAnswer: g, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -2.386, 4?\nAnswer: -2.386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 59. Suppose 4 - 2 = l. Suppose -5*b = -15, -l*b - 15 = -5*h + 4. Solve -3*k + 5*z - 23 = 0, h*k - 6*z + t = -z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 9 + 351*u - 22 - 17*u as a*u + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 28. Let r = 6 + b. Suppose 0*n = -3*n + 3. Sort n, 1\/8, r in decreasing order.\nAnswer: r, n, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, 8.\nAnswer: -26, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - sqrt(76)*-1 - (sqrt(19) - -1*(sqrt(19) + -1 + sqrt(19))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*m + 1224 = -35115, -3*m = 2*r - 14547. List the prime factors of r.\nAnswer: 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**2 + 17*x - 80. Let f(q) = -11*q**2 + 16*q - 76. Determine 6*f(i) - 5*n(i).\nAnswer: -i**2 + 11*i - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*u - 52 = 0, k - 4192 + 4200 = u for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2, -9722, -11, 3 in decreasing order.\nAnswer: 5, 3, 2, -3, -11, -9722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -684*u + 63. Let b(i) = 683*i - 57. Let d(k) = 6*a(k) + 5*b(k). What is the derivative of d(p) wrt p?\nAnswer: -689","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 6}. Give prob of picking 1 d and 1 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3771132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 - 4*l**2 + 43*l\/5 - 22\/5.\nAnswer: -(l - 1)**2*(l + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22601 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 606\/823 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449527649?\nAnswer: 41, 73, 150193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -1)\/((-4)\/260). Let r = y - 115. Suppose -4*i + r = i. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377325 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89504557991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.104723896141 - -162.\nAnswer: 162.104723896141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010088726 rounded to 5 decimal places?\nAnswer: -0.01009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*a*m*u**2 - 1773*a*m*u - a*u**2 + a - 9*m*u**2 wrt u?\nAnswer: -114*a*m - 2*a - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2 + -3 + 1). Suppose -p*u = -u - 2. Suppose -u*x - 2 = -6. What is the highest common divisor of 16 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.205612 decades in months?\nAnswer: 1104.67344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 0 - 28\/(-70)*10. Suppose 0 = -2*s - 5*h - 0*h + 75, -5*s + 5*h = -205. Calculate the greatest common factor of s and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 5*z + 5. Let x be s(-6). Which is smaller: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 573419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 129751 = 129745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + o + o = 12, -5*x - 42 = 4*o. Suppose 0 = 2*c - 2*p - 24, -p + 3*p = 5*c - 51. Let b be (-3*x\/c)\/1. Solve -b*k = 2*a, -3*k + 8*k = 4*a + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 2. Suppose 2*f - 8 + 0 = 0. What is the remainder when x(2) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -45, 0.1, 1\/117, -2?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7591, -7909, -8789, -10513, -13363, -17621, -23569?\nAnswer: -31489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 22 - 29\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:53 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175494 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 2*p + 6. Let q(r) = r**2 + r + 5. Suppose -22 = -3*z - 328. Let a = z - -105. Determine a*f(t) - 4*q(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9393622.\nAnswer: 2, 7, 17, 29, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:19 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((15 - 20) + 23 - 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-90) - (-4)\/(-18). Suppose 11540 = -12*x + 704. Let t = x + 904. Is t < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from doxxxdthdxxd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*o + 18. Suppose 0 = -h - 3*t + 87, -179 - 212 = -5*h - o*t. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/55012 and -41\/884.\nAnswer: 715156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -95.0018. Round f to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*f**2 - 32*f**2 - 36*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2738\/7 + 2\/7*k**2 + 148\/7*k = 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u**2 - 6*u + 7. Suppose 6 = -2*a + 8*a. Let b(c) = c**2 + c - 1. Calculate a*j(v) + 6*b(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*d + 2*d - 3, -5*d = 5*o + 15. Suppose j - 4*h - 75 = o, -5*j + 455 - 114 = -3*h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -234. What is the remainder when (2 + 550\/(-8))*(-1836)\/81 is divided by f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let o(k) = -4*k + 20. Calculate o(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 236025571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 + -69. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/940 and 169\/2820?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 3*s**2 + 21. Let a be k(6). Let o = -35 - a. Let f = -26 + o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 68*n - 59. Let z be w(-4). Let r = 1985\/6 + z. Let c = 3 - 3. Sort 1.1, c, r in decreasing order.\nAnswer: 1.1, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5c1dd (base 14) to base 3.\nAnswer: -111120200000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8347323672.\nAnswer: 2, 3, 38645017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(-5 + 15). Suppose 92 + 3 = y*k. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*l - 140*l - 4020 = -9*l + 18683 for l.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktqp when four letters picked without replacement from ekpeccqectqqeep.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 4*i. Suppose 0 = 2*j + m + i - 2, -9 = 2*j + 3*m. Suppose 2*u + 0*u = -j*c - 2, u - 21 = 4*c. Solve u*s = -8 + 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in -1227, 2\/3, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6181*n - 39310 = 188*n + 228188 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 49 = 5*k, -5*f - k = -0*k - 35. Suppose f*w = 3*w + 36. Let q = 27 - -32. Calculate the remainder when q is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7954440 and 168267?\nAnswer: 87498840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 2*z - 1. Let m = 1 + 1. Calculate the remainder when 2\/3 + 61\/3 is divided by y(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267254807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*o - 0*o. Suppose -2*j + o*p = 5*p - 17, j + 2*p = 10. Let r(k) = 8*k**2 - 3*k - 11. Let y(f) = 3*f**2 - f - 4. Give j*r(d) - 11*y(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88704373073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*y - 11 = 375*y + 3*f, -4*f + 20 = y. Let m(c) = 6*c + 27. What is m(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 19*u**2 - 76*u + 21. What is a(-22)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpc when three letters picked without replacement from clcpclllccl?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {c: 1, n: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 24. Let m = -19\/2 - b. Factor -1\/2*f - 3\/2*f**2 + 0 - 3\/2*f**3 - m*f**4.\nAnswer: -f*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 3*z + 2. Let s be l(-2). Let v = s + -1. Let t(d) = -3*d - 76*d**2 + 2*d - 74*d**2 + 0*d - 2 + 151*d**2. Give t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49654 times -3?\nAnswer: -1.48962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8102*r - 17286 + 17286.\nAnswer: 8102*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 2. Calculate p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93208 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u + 0 + 7*u - u - 1. Let v(g) = g**3 + 7*g**2 + 6*g - 3. Let k be v(-6). Let x be j(k). Solve -4 = 2*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -245a3 - e36?\nAnswer: -253d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o - 7. Let p be m(5). Suppose -69 = -3*v + p. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 750135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80981209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 8, -3, 5, -567 in ascending order.\nAnswer: -567, -3, 0, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**2 - 367*s - 32. Determine u(-47).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**39\/a))*a)**(10\/3)\/(a**(-2)\/a**(-1\/6)) assuming a is positive.\nAnswer: a**(791\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -321. Let g = -126 - d. Suppose -3*k + 6*k - 489 = -g*i, -3*i - 3 = 0. What are the prime factors of k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 7, 0, -25, -74?\n\"Answer: -k**3 + 12*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*z + 13, -2*z - 2*z - 3*n + 6 = 0. Suppose 3*k = -4*y + z*y + 11, -5*y = -3*k - 1. Solve k*o = -o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-10) + -1 + 296\/36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -12. Let z be (18\/15)\/(p\/(-40)). Suppose 0 = z*l - 4 - 64. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5330597.\nAnswer: 5330597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*k - 169*k + 15 = 0. Put 3, k, -5, -3 in decreasing order.\nAnswer: k, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/4*i**2 + 0 - i**5 + 1\/4*i + 3\/4*i**3 - 5\/4*i**4 = 0. What is i?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167732, -335236, -502740, -670244, -837748, -1005252?\nAnswer: -1172756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*a + 110, 11*x - 9*x = 5*a + 59. Solve 5*s - 4*l - 6 - x = 0, -5*s = -l - 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-26))\/6*2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 6*l + 1. Let n(c) = 5*c**2 + c. Let y be n(l). Solve -3*a + 16 = -y*a - 5*r, -a = 4*r + 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 20. Let p be b(9). Suppose 4*d = -p*d. Suppose d = 4*x - 5 + 17. Let m(r) = r + 4. What is m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101100?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1771, 1786, 1827, 1906, 2035, 2226, 2491?\nAnswer: 2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141237769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 18 + -35 - (-2 + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*v - 107968947 + 107968947.\nAnswer: 82*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/8 + 21*y**2\/8.\nAnswer: -y**2*(y - 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (120\/(-63) + 2)\/(5\/3). Put 5\/3, -2, o in ascending order.\nAnswer: -2, o, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*a**2 + 5*a**4 - 3933*a**3 - 2*a + 3933*a**3 to the form o*a + c + y*a**4 + w*a**2 + i*a**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174196.\nAnswer: 2, 11, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (72\/21*-1)\/((-12)\/42). Solve 3*y = -0*y - r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + n + 11 = 0, 0 = l - 0*n + n - 7. Let p(g) be the first derivative of -l*g**2 - g + 1\/3*g**3 - 2. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5306*g. Let l(t) = 3*t**2 + 3*t + 1. Let r(y) = -2*y**2 - 3*y - 1. Let q(k) = -l(k) - r(k). Determine q(w(b)).\nAnswer: -28153636*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -19*i + 135 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/4366980 and 131\/37847160.\nAnswer: 113541480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -420207 (base 9) in base 12?\nAnswer: -100467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 111.8152185?\nAnswer: 111.3152185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*90\/60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376749 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2157431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.04510344.\nAnswer: -0.02255172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (-3*sqrt(65) + sqrt(65)))*-1)\/(sqrt(50)\/(sqrt(10) - (sqrt(1000) - sqrt(10)))).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1195488 divided by 4\nAnswer: 298872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r + 6*r**2 - 5*r**2 - 3*r**3 - r**2.\nAnswer: -3*r**3 + 56*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 13*t**2 + 12*t + 16. Let o be i(12). Suppose 3*r = -1 + o. Suppose 1 + 1 = -f. Put f, -3, r in decreasing order.\nAnswer: r, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 32*h + 11. Let y(f) = 98*f + 34. Give -16*l(a) + 5*y(a).\nAnswer: -22*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3157.1 + 3157. Let t = 1 - 4. What is the nearest to d in 2\/9, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from llllllllaaalll?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(57\/54)\/19.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/7? (a) 10 (b) -1 (c) -4\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 163*s**2 + 2754*s + 361. Calculate r(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = 44*k + 21 - 110, -28*k + 26*k + b = -b + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*c**3 + 262*c**2 + 1429*c - 559*c**3 - 1429*c + 1114*c**3.\nAnswer: c**3 + 262*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 859657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 2 k when four letters picked without replacement from {q: 4, x: 2, k: 4, o: 5, t: 2}.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 56*g - 2600. Find the common denominator of g and (-2)\/4*79\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 + 59*z + 2. Let w be c(-12). Suppose w*x - 292*x - 10500 = 0. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-4 + 10)) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/4 of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s. Let a(y) be the second derivative of -5*y**3\/6 - y**2 + y. Let g(q) = -16*q - 7. Let k(r) = -7*a(r) + 2*g(r). What is b(k(i))?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.13834326 to four dps.\nAnswer: -1.1383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-2 - -1)) + (4 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594553*g**3 + 134534*g**3 + 81524*g**3 + 233907*g**3.\nAnswer: 1044518*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/6 + (0 - (-408)\/9) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1564 - 1564.3. Which is the closest to 1? (a) -2\/9 (b) 11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 9 + 19730*q - 19731*q - 1 - 6.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-21)*d**(4\/11)*d*d\/(d*(d\/d**(1\/3))\/d)*d assuming d is positive.\nAnswer: d**(782\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1732 + 1531 = -13*y. Let c = y - -273. What is the greatest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154032 is divided by 15387.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -14450500 to the nearest ten thousand.\nAnswer: -14450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 266, 390, 564, 788, 1062?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -37*s**2 + 13*s + 35. Let r = 19 + -13. Let h(x) = 18*x**2 - 6*x - 17. Let t(n) = r*c(n) + 13*h(n). What is the derivative of t(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(2 - 3) - 2. Let n be 39\/w + (-2)\/(-6). Let q(t) = 4*t**2 + 9*t + 1. What is the units digit of q(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**2*v**3 - 2118*o**2*v**2 - 21505*v**3 wrt o?\nAnswer: 6*o*v**3 - 4236*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 5. Let i be r(-7). Let v be ((-6)\/15)\/(1\/(-5)). Let q(d) = -i + v - 3*d. What is q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14*13\/(-26))\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 2*n**2 + 5*n**2 + n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1480*h**2 - 440*h + 110. Let r(p) = 40*p**2 + 12*p - 3. Let y(q) = 6*f(q) + 220*r(q). Let z(i) = 37*i**2. Calculate y(z(l)).\nAnswer: -109520*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18021\/4 - -4506. Calculate the common denominator of (-1)\/((-1)\/(141\/(-60))) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 12) to base 13\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + 5*c**4 + 2*c**3 - c**4 - 4*c**3 - 4*c**2 to the form f + w*c + o*c**4 + z*c**2 + i*c**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**3\/2 + 2*l**2 + 422*l. Determine g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.08, 5, -2\/9, -236, 0 in increasing order.\nAnswer: -236, -2\/9, 0, 1.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {a: 1, k: 1, j: 4, f: 2, l: 2, b: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 668364588 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 61, 58, 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 995 - 1523 = 46*q + 795 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11126155 to the power of 1\/2, to the nearest integer?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwwwbon. Give prob of sequence wwob.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (57\/2)\/((-15)\/(-80)). Let g = p + -93. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q**2 - 9*q + 4. Let v be o(4). Suppose 2*p - 5*u = v + 100, 0 = -4*p + 3*u + 396. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5242746.\nAnswer: 2, 3, 19, 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**2. Let b(m) = -1133*m**2 + 563*m**2 - 1 + 562*m**2. What is s(b(j))?\nAnswer: -448*j**4 - 112*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1921 + 3826 - 1900 + 814*q as w + f*q and give f.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1457 = -4*j - 933, -3*j - 4*q = 1776. Let s = -596 - j. Solve -2*a = -5*w - 35, 35 = -s*w - 4*w + 3*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/42*-4 + 128\/56.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 103. What is the smallest common multiple of l and 11?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 + 0)\/((-6)\/(-837)))\/(-1). Let b = u + 281. Solve 4*x - b*s + 16 = 0, -x - 3*x - 12 = -s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 11*i**2 - 14*i**2 + 27*i**2 - 2*i**2.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9098*6\/(-48))\/(2\/(-8)).\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 35*w**2 - 55*w + 25.\nAnswer: -5*(w - 5)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2755 - -2769. Calculate the remainder when 556 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*r + 34, -3*r + 80 = 2*l + 12. Let h be l\/72 + 1\/(-4). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -3\/229, 2\/15, 2, -19?\nAnswer: -3\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.2 + -4.2. What is the third biggest value in -2\/7, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41 and 28460.\nAnswer: 28419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 5*s. Suppose s = g - 5*g - 2*v - 10, -5*v = 4*g + 25. Solve 5*r + 1 - 6 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57666 (base 10) to base 9\nAnswer: -87083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7 - 3. Suppose -3*b + d*a + 295 = 0, -5*b = -3*a - 158 - 355. Calculate the greatest common factor of b and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 4815 in descending order.\nAnswer: 4815, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14361, 2, -2, -5 in ascending order.\nAnswer: -14361, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/7 in -1, 4, -50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(209) - (sqrt(209) + sqrt(209) + (sqrt(209) - sqrt(209)*-2) + sqrt(209))*5)*-3)\/((sqrt(891) - -4*-1*sqrt(891))*-5).\nAnswer: 34*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*d, 0*u - 3 = 4*u - 3*d. Suppose f = -u*f. Suppose -21*l - l**2 - 6*l**3 + 25*l + 2*l**4 - l**2 + f*l**2 + 2*l**5 = 0. What is l?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1439950224 to five decimal places.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/10)*66\/55. Suppose 0 = -q*b - 4*b + 544. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7\/(-2)*(-200)\/50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/((-16)\/94112) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270515, -1082089, -2434705, -4328357, -6763039, -9738745?\nAnswer: -13255469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 1. Let r(l) = -8*l + 10. What is 40*d(v) - 4*r(v)?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1\/107 in decreasing order.\nAnswer: 4, -1\/107, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**2 + 0*k**2 + 5*k**2 - 35 - 13 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zedjguj. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5, 799?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4 + 0)\/((-8)\/272). Let a = t - 41. Solve 0*m = -5*q - 3*m + a, -q + 2 = -3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2339 - -5018. Suppose -2 = -0*s + 2*s, -k = -5*n + 4*s. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q + 2719 - 1320 - 1397.\nAnswer: 32*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 578610949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2)*20\/(-8). Suppose x + 25 = 5*b. Suppose -6 = -5*k + 19. Solve -4*z + k*p - 16 = 0, z - p = -b*p + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -5) + (-44005)\/2708?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099052 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083033973?\nAnswer: 17, 14221, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**8\/6720 - c**7\/840 - c**6\/360 - 5*c**4\/12 - 9*c. Let i(k) be the third derivative of h(k). Factor i(g).\nAnswer: -g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 4*n**2 + 2*n + 1. Let b be m(2). Suppose w + 3*w = -12. Let s = b - w. Solve -29 = 5*z - s*a + 4*a, 2*a + 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (66 + -8 + 7 + -22)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + -6 + (4 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*i = -15, 47*o = 43*o - 5*i + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000207919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14*(-10)\/(-320))\/(18\/72))\/(20\/(-960)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**4 - 6*j**3 + j**2 - j - 1. Let m(s) = 987*s**4 + 24*s**3 - 4*s**2 + 4*s - 1491. Let z(q) = 4*d(q) + m(q). Differentiate z(f) wrt f.\nAnswer: 3916*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Solve 2*p + 16 = -y*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {e: 1, h: 5, z: 3, l: 3, m: 2, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - p - 1. Suppose 31 = -5*h - 129. What is the remainder when m(-3) is divided by 8\/(-12) + h\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90733 (base 11) to base 2\nAnswer: -100000011000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**3 - 1424*x**2 + 18684*x - 17248 = 0 for x.\nAnswer: -392\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/4217993 or -1?\nAnswer: -2\/4217993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 391 (b) 0.3 (c) 208.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 3)*(4 - 2*c - 4)*(c - 4*c + c) to the form u*c**2 + g + v*c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133011140201 - 1?\nAnswer: -133011140202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2524 + 2336 = 0. Calculate the highest common divisor of c and 3337.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5229.051us?\nAnswer: 5.229051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 13472406.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d - 5*d - 15*d + 6*d - d - 3*d + (0 + 1 + 0)*(-4*d + 0*d + 3*d) + 0*d + d - 3*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20165374 (base 8) to base 7.\nAnswer: 51106450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 3*b - 4. Let g(d) = -d**2 - 1. Give -2*g(z) + r(z).\nAnswer: z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*d - 96*d - 26868 + 27699 + 57757 = 0 for d.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-50)\/10 + -52)*(-1)\/(-374) and -75\/272.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**8\/1176 + 43*w**7\/1470 - 65*w**6\/168 + 248*w**5\/105 - 83*w**4\/14 + 48*w**3\/7 + w**2 + 1030. Solve j(y) = 0 for y.\nAnswer: 1\/2, 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885 - 140 + 99 - 3*c + 578 + 6*c.\nAnswer: 3*c + 1422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**2 - 350*h + 97. Give w(-50).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4911*d - 44231. Calculate l(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 3. Let p(m) = -2*m + 6. Let g(q) = 5*b(q) + 3*p(q). Let x(j) = j - 4. Let v(w) = 7*g(w) + 6*x(w). Let u be v(-6). Solve o = -u*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.861457 meters?\nAnswer: 0.007861457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/4)\/(-8)*2. Suppose l = 2*w - 0*w + 3, 2*l = -w + 1. Solve f - l = j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 25 = 10. Suppose -p*d = -34*d + 24. Let r be 2\/18*d\/4. Which is the third biggest value? (a) -1\/15 (b) r (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/6 + 11\/(33\/(-15))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 14*u**2 + 30*u + 68. Calculate z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + a + 6*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from fkzfnkkkff.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 32*r**2 - 650*r - 1197. Determine g(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 4940?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2268 and 8092?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2626, -2702, -2902, -3286, -3914, -4846, -6142, -7862?\nAnswer: -10066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:51 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*(-130)\/(-52).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 35*j + 73. Suppose -591*g = -3*t - 592*g - 7, 0 = -3*t + 6*g. Give u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 10:41 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4\/7 + 7299*g**3\/7 + 14667*g**2 + 256869*g\/7 + 161502\/7 = 0.\nAnswer: -11, -2, -1, 2447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + (-38)\/16)\/(18\/(-72)). Which is the smallest value? (a) k (b) 0.13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 169*q**2 + 44*q + 67. Is l(72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/19 (c) 10 (d) 0.1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2. Let p(v) = -7*v**3 + 4*v**2 - 2*v. Let u(w) = 6*b(w) + p(w). Let q be u(-2). Solve q*f + 13 = 4*a + a, -5*a + 5*f = -10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/5, 506 in increasing order.\nAnswer: -1, -3\/5, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2. Suppose 5*s = -10 + 20. Let k(x) = -s*x + 5*x - 3*x + 4*x**2. Give k(o(n)).\nAnswer: 100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 1028*r + 10992. Calculate p(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 14*l**4\/3 - 2*l**2 - 3*l. Let y(h) = 2*h. Determine y(s(j)).\nAnswer: 224*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aar when three letters picked without replacement from aaarararaaaa.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 times -0.08?\nAnswer: -11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 323 and 36290?\nAnswer: 616930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 - (-3 + 4) - 7. Solve -h + 4 - q = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n**2 - 160*n + 65. Give v(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 3. Let i be h(5). Let d be (i\/10)\/((-6)\/30). Suppose 4*z = 5*u + d, -4*u + 3*z = -u + 9. Which is the closest to -1? (a) -0.5 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12117.5082 hours?\nAnswer: 72.128025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 3:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337137*g*y**3 - 19*g*y**2 - 2*g*y - 84*y**2 wrt y?\nAnswer: 2022822*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from mhhrhrmhhhh?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 47) + -10 + 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*((y*y*(y**2\/y)\/y*y*y)\/y)\/y*y*y)**(20\/3)\/(y\/(y*(y\/(y\/(y**(2\/13)*y)))\/y))**(-7\/8) assuming y is positive.\nAnswer: y**(2073\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 904287.4 rounded to the nearest 10000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 49*g**2 + 204*g + 117. What is z(20)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 444763 (base 9) to base 12\nAnswer: 109b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/((-3)\/(6 - 3)). Let d = -3 - w. Calculate the remainder when 41 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743*z**2 - 25*z**3 + 72*z**3 - 741*z**2.\nAnswer: 47*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b3431 (base 12) to base 6\nAnswer: 5002501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*r + 6634 - 3326 = 1733 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114656 and 160.\nAnswer: 573280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -32.7. Let v = -0.3 + o. Let y be 5*(1 - 2) + 2. What is the third smallest value in 4, y, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/65862 and -28\/1251.\nAnswer: 9154818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 73 + (12 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -3, 1\/7, 5\/39?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-90)*129\/(-344)*-4*10\/(-80)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by ((-56)\/(-84))\/((-6)\/(-5832))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1414*t + 27 = -1402*t - 33. Solve -w - 10 = t*s, 0*w + 3 = 4*s + 3*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**2 - 5. Let o(n) = -11*n**2 - 8. Let i = 286 - 294. What is i*x(g) + 5*o(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514140238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 68?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 556\/(-21) - (-2)\/14. Let k = h + 27. Which is the nearest to k? (a) 5\/4 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265.91 + 267. Let w = f - 1.1. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107202 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**2 + 8*l - 26. Let q(s) = 20*s**2 + 26*s - 77. Let g(x) = 17*o(x) - 6*q(x). Let t be g(-21). What is the closest to -0.3 in 1\/2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/6 - 9*m**2\/2 + 4*m. Let f be x(7). Let z(w) = 2*w**2 - 2*w - 3. Determine z(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1673 - -3c?\nAnswer: 16b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + g = -3*g - 8, -8 = 4*g. Suppose t = 2*c + 13 - 43. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**5 + 3*u**5 + u**3 - 2*u**3 + 3*u**5 + u**5 - 3*u**5 + (1 - 1 + u)*(-2*u**3 + u**4 + 2*u**3) + 34*u**5 - 13*u**5 - 44*u**5.\nAnswer: -22*u**5 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 117. Suppose 59*l = b*l. Suppose l = -44*g + 47*g - 348. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 76*j**2 - 5*j + 3. Let z(g) = 73*g**2 - 4*g + 2. What is -4*s(f) + 5*z(f)?\nAnswer: 61*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2697)\/5 + (4 - (1 + 5)))*-10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57866685?\nAnswer: 3, 5, 19, 277, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhu when three letters picked without replacement from huhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*42\/91*-6*(-6)\/(-27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus -38661?\nAnswer: -38660.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 11*l**2 + 15*l - 18. Let m be y(-9). Calculate the greatest common divisor of 15 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000751237117 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283.5 - 283. Which is the third smallest value? (a) s (b) -1 (c) -6 (d) -5\/2 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -3*f + 0*f**2 - 5 + 1\/2*f**3 + 0*f**4 - 3\/20*f**5. Let v(m) be the first derivative of s(m). Suppose v(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, q: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and -380.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5352 (base 16) to base 4.\nAnswer: 11031102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + x - 16 = 0, 15*x + 79 = 18*x + 73 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 19*f**2 - 8*f. Let u(m) = -4*m + 2*m**3 - m**3 - 13*m**2 - m. Let k(z) = -5*c(z) + 8*u(z). Find the third derivative of k(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1637.075 rounded to the nearest 10?\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 605296.7ug?\nAnswer: 0.0006052967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 524, 511, 490, 461?\n\"Answer: -4*p**2 - p + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(2 - -42). Suppose -n = 2*c - 4*c. Solve 2*b - 3 + c = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 53396600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*1 + 4)*-2*-2 + (sqrt(99) + (3*-1*sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99)) - sqrt(99))\/((sqrt(72)*3 - sqrt(72))\/sqrt(8)))**2.\nAnswer: 1056*sqrt(11) + 12235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -606, 28, -1 in descending order.\nAnswer: 28, -1, -606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7\/4, 0.2, 65251, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*v - 11*v = 75*v - 35*v + 4320 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 56015.196 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 8*b + 5. Let x be q(-6). Let v = x - 305. What is the first derivative of -t**4 - 12*t**4 - v*t**3 + 180*t**3 - 9 wrt t?\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 18. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 8.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 36 = 8*a. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*a, -2*g - 3*a + 788 - 36 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 235, 535, 955, 1495, 2155, 2935?\n\"Answer: 60*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26915, 53819, 80709, 107579, 134423, 161235?\n\"Answer: -s**3 - s**2 + 26914*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*b - 6 - 8 = 0, 5*b = 15*d + 170 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29 - -70) + -35 - (0 - -8)) + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*k**3 - 145*k**3 - 140*k**3 + 1.\nAnswer: 36*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 - 6*k - 21. Let x(s) = 57*s - 244*s + 61*s + 62*s - 4 + 63*s + 2*s**2. Calculate 2*w(q) - 11*x(q).\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2. Let s(r) = -1535481*r. Determine a(s(i)).\nAnswer: 11788509506805*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**3\/6 + 2*t. Let w(r) = 2*r + 0*r - r. Let s(p) = 2*p**2 + 4*p. Let f(u) = -s(u) + 4*w(u). What is f(k(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 5446*o**3 + 49220*o**2 + 120208*o = 0. What is o?\nAnswer: -2732, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**2\/2 + 4*m + 858. Let r(y) = 6*y - 21. What is -33*b(x) - 6*r(x)?\nAnswer: -3*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -887, -1968, -3449, -5312, -7539?\nAnswer: -10112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -8. Let n(t) = -t + 6 + 0*t + 2*t**3 - 2*t - 3. Let q(z) = -465 + 5*z**3 + 0*z**2 + 0*z**2 + 473 - 8*z. What is a*q(h) + 8*n(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 4*i**2 - 6*i. Let g be -9 + (-19 - 1)\/(-5). Let y be t(g). Solve -3*k - y*p = 2*k + 20, k - 3*p - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2))\/x*x*x**(-4\/7)*x*x*x)\/((x*x**(1\/2)\/x)\/(x*x*x**(-5))))**(-3\/4) assuming x is positive.\nAnswer: x**(87\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*u - 2*s, 7*s + 48 = -3808*u + 3805*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2521 or -2425?\nAnswer: -2521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96189485.\nAnswer: 5, 7, 17, 41, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 485577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1324 to three decimal places.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 - 8*c - 28. Let u(j) = -j**3 + 6*j**2 - 7*j - 24. What is 6*f(r) - 7*u(r)?\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44778317 from -1098.\nAnswer: -44779415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 = -15. Suppose 0*l = p*l + 42. Let c = -6 - l. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 52207 = -14184. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 5*y**2 - 7*y - 5. Let a be c(-5). Suppose 5*x + a = 165. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -255975700 to the nearest one million.\nAnswer: -256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248 - -585. What are the prime factors of m?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15883 - 15882. Is x at least -23\/660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5315 by -1012.\nAnswer: -5315\/1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i + 5*i + 140*i**2 + 29*i**3 + 44*i + 18*i**3 - 7*i**4.\nAnswer: -i*(i - 9)*(i + 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -40. Let k = -1 - -5. Suppose 9 = k*f - 67. Calculate the highest common factor of f and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44729 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - -1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24\/36)\/(5\/(540\/(-8)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/((-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 6*a + 15*a - 40 = 16*a, 1383*w - 4*a + 32 = 1378*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4074091?\nAnswer: 7, 582013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 + 5*l - 4. Let w be f(3). Solve -c = w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 46*f - 46*f - 3*f**2. Let m(k) = k**2. Determine p(m(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 31306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 52, 2\/9, -2\/13, 6, 5 in increasing order.\nAnswer: -0.4, -2\/13, 2\/9, 5, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-3120)*-234*((-1050)\/(-9))\/2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130563, 142613, 154663, 166713, 178763?\nAnswer: 190813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 412946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633 + 1051 + 12*o - 375 + 5*o.\nAnswer: 17*o + 1309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5725363 and 2296.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*h - 20, 0*l - 5 = 5*l - 4*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (0 - 13) - 23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 + -146 + 0 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-8)\/(1\/1). Suppose 2*j - 6 = -2*b + y, -b = -4*j + 25. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c**1\/c))\/c)**(-7)*c\/c**4*c*c**(-2\/15) assuming c is positive.\nAnswer: c**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from {h: 3, y: 3, o: 1, q: 2, k: 2, s: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -1) + 2 + 1 - 4) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:49 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5924693*j**2 - j - 5436125?\nAnswer: -11849386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11411669, 22823364, 34235059, 45646754, 57058449?\nAnswer: 68470144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Let r(f) = f**3 + f**2 - 2*f + 8. Let y be r(x). Are 7 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.7462 + 0.2538. Which is the smallest value? (a) 2 (b) 5 (c) 2\/7 (d) v (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 - d - 9. Suppose -2*g - 58 = -2*c, -4*c + 9*c = -4*g + 145. Let f = 33 - c. Is s(f) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.609114 and 273.\nAnswer: 276.609114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8417 - 8417. Suppose 0 = -d + 3*d + 2. Let h = 5 + d. Solve 5*l - l + h = w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, p: 2, t: 1, k: 1}. What is prob of sequence tgpp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 7 - 4 + 3 + 3 + (-1 + 0 - 1)*(-3 + 0 + 1) + 0 - 4 + 1)*(-3 + 5 - 4)*(10*n - 13 + 7 + 4) to the form p*n + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17722973*k**3 - 2*k**2 + 3278274?\nAnswer: -106337838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -132, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {y: 1, f: 1, i: 1, j: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*n**3 + 2*f**2*n - 2272*f**2 + 492300*f*n**3 - 2*f*n**2 - 6*f*n + n**3 wrt n?\nAnswer: 6*f**2 + 2953800*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**7\/30 - v**4\/4 + 5*v**2. Find the second derivative of l(t) wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-1 - (4 + -22)) + (-22 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13105062 (base 7) in base 4?\nAnswer: 10203300300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5522744?\nAnswer: 2, 137, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hihiiiiiiiiiiiiihi.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 301*a + 37225 = 300*a, -5*k + 62055 = a. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpmxxekppxmxpxx. What is prob of picking 1 m, 1 x, and 1 p?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467176 is divided by 86?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(((-12)\/(-9))\/4). Suppose -3*a - 63 = -z*v, -3*v + a = v - 90. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or 1\/7?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z**2 - z + 1. Let j be b(4). Let r be (-2)\/(2\/(-205)) + 19 + -14. Suppose -213*o = -r*o - 90. What is the highest common divisor of j and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*25\/(-15) - (-586)\/(-2). Let a = 496 + k. What is the greatest common divisor of a and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214 + -21199019\nAnswer: -21199233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-1 + 12\/4). Suppose -5*o + 6*o = a. What is the second derivative of 8*w - 7*w**3 + w**3 - 3*w - 5*w**o wrt w?\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n**2 + n**2 - 5*n**2)*(109 + 113 - 210) + 9*n**2 - n**2 - 2*n**2 in the form z*n**2 + p*n + f and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 13*t = -78. Differentiate -19 - t + 27*i + 27 wrt i.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1125466.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 2*x**2 + 4*x + 3. Give l(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3)*408\/16. Let t = o - 34. Factor -y**2 + 1\/2*y + t + 1\/2*y**3.\nAnswer: y*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653397.\nAnswer: 3, 433, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - -5?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.4309018 rounded to 1 dp?\nAnswer: -197.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 4259088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6084*v - 5. Let b(u) = -539*u. Calculate i(b(g)).\nAnswer: 3279276*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32.4 times -29\nAnswer: -939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -199. What is the biggest value in q, 72, -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1344002?\nAnswer: -1344004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*z**3 + 190*z**3 + 43*z**3 - 124*z**3.\nAnswer: 176*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {l: 12, j: 4, r: 4}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/2)\/((-77)\/(-44))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5 - 115. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + 123\/2)*-25*(-32)\/120 is divided by 143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31275676 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-3 - -10 - 2) + -15 - -77.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 37 = 2*h - 13, 5*h = -4*y + 55. What is the smallest common multiple of y and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -9) + (-1)\/1. Suppose 3*t = -v*t + 36. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12298?\nAnswer: 2, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000479196523 rounded to 5 dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3196841?\nAnswer: 227, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p**(-12)*p))\/p))**(-7)\/(p**(-1\/5)*p)**(1\/3))**(-1\/12) assuming p is positive.\nAnswer: p**(-523\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.26295 to one dp.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 13*t + 52. Suppose 6 = 15*b - t*b. Suppose -9 = -b*w + 51. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*c**2*p + 3491*c**2 + 394*c*p + 4*c wrt p.\nAnswer: 30*c**2 + 394*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3356282844140446 - h**2 + 3356282844140446.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 296939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 287 = -17*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45826 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 10) to base 16\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*i**2 - 969*i wrt i.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6dcf6 (base 16) to base 2.\nAnswer: -1101101110011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, 0, 16, -7 in descending order.\nAnswer: 16, 5, 0, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -750.9888 and 3?\nAnswer: -2252.9664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201010 (base 3) to base 4.\nAnswer: 103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 606290.\nAnswer: -1\/606290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091454.\nAnswer: 2, 3, 7, 13, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**4 + o**3 + o**2 - o + 1. Let v(a) = -a**5 + 3*a**4 + 3*a**3 - a**2 - 3*a + 3. Let n(d) = 3*p(d) - v(d). Find the third derivative of n(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769673 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-136))\/(9\/9).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + 8. Suppose 4 = 5*y - 11. Let a be (y - 4 - -2) + 5. Solve -z*c + a = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-540)\/(-486)*85\/2 + 12\/(-54). Solve -c*p + 32 = -55*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31836940.\nAnswer: 2, 5, 179, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:59 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 8:31 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7540395 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7676.28.\nAnswer: -38381.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73673.33 micrometers to kilometers.\nAnswer: 0.00007367333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-7 + 1058\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-360))\/(-2*2\/9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:29 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114889311, 114889310, 114889309?\nAnswer: 114889308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*-4 + (5*sqrt(228)*3 - sqrt(228)))\/(4*sqrt(192)*-2 + sqrt(192)*-2*-3).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 311 + 865*y**5 + 6*y - 768*y**4 + 768*y**4 - 4*y wrt y.\nAnswer: 17300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30571081 to the nearest one thousand.\nAnswer: -30571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*j - 128746, 4*j = -15*c + 12*c + 77222. Suppose 6*l - 20*l + c = 0. List the prime factors of l.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 143, 133, 123?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1013*b - 2*b**2 - 703*b**3 - 194*b**3 + 358*b + 757*b - 337*b**3 wrt b?\nAnswer: -7404*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14495*s**2 - s - 1. Let c(y) = -2*y. Calculate c(f(n)).\nAnswer: -28990*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iebbexxebixi. Give prob of sequence exee.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15160259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1760, -1318, -876, -434, 8, 450?\n\"Answer: 442*o - 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-8) + 3\/((-24)\/(-1286))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/(sqrt(12)\/sqrt(4))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1119 + 634 + 1885)*(2*a - 3 + 1 - 5*a).\nAnswer: -4200*a - 2800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44096 - -15?\nAnswer: 44111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49388276 divided by 12347069?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 537.3769 from -0.1.\nAnswer: -537.4769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -26. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14059 is divided by 7025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 16*w + 12. What is f(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.43 to 1 dp.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34952972 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32475 + -32470. Let w(g) = 2*g**2 + 6*g + 8. Let q = -3 - -9. Let u(a) = -2*a**2 - 5*a - 7. Determine q*u(k) + t*w(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 93\/(-248) - 19\/(-8). Find the second derivative of 25*s**5 - 4*s**5 + c*s**5 + 10*s wrt s.\nAnswer: 460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -23*m - 7*m. Solve -5*n = 2*z - 10, -13 = -m*z + z - 2*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 50.16031 days?\nAnswer: 4333850.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f + 7*f + 9*f. Let u(x) = 40*x**2. Let h(c) = -3*c**2. Let g(l) = 64*h(l) + 5*u(l). Calculate g(j(t)).\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let z be f(-6). Solve z*l - 9 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:56 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106198?\nAnswer: 2, 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 6, 4, 1, -8991 in ascending order.\nAnswer: -8991, -117, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/3)\/1 + 1. Suppose -2*o = i*o - 16. Let v = 6 - o. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 2. Let u be d(4). Suppose 0 = -0*w - 5*w. Solve -u*k + 3 + 5 = w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 26. Let l(p) = -p - 13*p + p**3 - 2*p**3 + 0*p - 4 + u*p**2. What is the remainder when 75 is divided by l(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 + 222. What is the least common multiple of n and ((-1 - 0) + 0)*-6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180808 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**2 + 3*k - 1. Let g be j(3). Which is the nearest to 1\/2? (a) 3 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.3572 centuries to decades.\nAnswer: 7003.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4242354 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4540 - 684 = 3851*r + 164*r - 29314 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12339?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 30. Suppose 4*u = 3*b - 18, -2*b + b + 14 = -t*u. Let c = -7 - -11. Calculate the greatest common factor of b and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 53, 57, 59, 59, 57, 53?\n\"Answer: -d**2 + 9*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 + t + 1. Let s be i(5). Is 2*(-2 + 123\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -268\/5 (c) -96\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**4 + 20*o**3 - 110*o**2 + 4*o + 8. Let p(z) = 6*z**4 - 62*z**3 + 327*z**2 - 11*z - 22. Let a(x) = 11*d(x) + 4*p(x). Factor a(i).\nAnswer: 2*i**2*(i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 88 bigger than 1140\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2 - w**3 + 10*w**2 + 2*w**3 - 11*w**2 + 4*w. Let i be l(0). Suppose -3 = -t - 0. Sort i, t, -3, -4 in ascending order.\nAnswer: -4, -3, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-8)\/(-2) + -2. Let u(q) = 2*q - 2. What is the remainder when 10 is divided by u(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**3 + 4*a**2 - 3*a + 12. Let y(x) = -2*x**2 - 3. Calculate c(m) + 4*y(m).\nAnswer: 5*m**3 - 4*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148585\/24 - 6191. Let g(n) be the second derivative of 27*n - 1\/80*n**5 - 1\/48*n**4 + 0*n**2 + h*n**3 + 0 + 1\/120*n**6. Factor g(r).\nAnswer: r*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/(-34)*((-14)\/(-18) + -1). Let i = -3\/14 + 43\/70. Let a = 2.06 - 0.06. Put a, i, d in decreasing order.\nAnswer: a, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-168))\/(-5))\/(16\/(-128)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255.65 + -269.65. Which is the second biggest value? (a) -3\/5 (b) f (c) 0.561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1683 and 12716?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-106249.\nAnswer: 4887454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6367*k + 44549. Give f(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 2. Let g be a(11). What is the common denominator of (-6)\/(-30) - 73\/g and -1\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705600 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/25)\/(2\/(-6140)). Let b = w - -1438. Suppose 3*c = -3*c + b. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 14*w + 48. Let r be m(-9). Let h(x) = 0*x**2 + r*x**2 + 0*x**2. Let n(p) = 25*p**2. Determine n(h(k)).\nAnswer: 225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 3*p + 130. Let o = 9 - 34. What is the common denominator of p and 144\/(-70) - (5 - (-130)\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 - -1*(-23950)\/(-4). Suppose 0 = 4*q + 2*q - v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 777900*k**3*p**3 - 91*k**2*l*p**2 - 12*k*l*p**3 - 28*k*p**3 + 641*l*p**3 wrt k?\nAnswer: 4667400*k*p**3 - 182*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*j + 87*j - 474*j + 108*j + 78*j + 100*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -182749 < -182749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6917181*z + 9933944.\nAnswer: -6917181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -291355\nAnswer: -73\/291355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {e: 1, a: 2, p: 1, b: 7, m: 4, r: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 101210022020?\nAnswer: -101210022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Suppose 0 = k + 2*k - 4*c - 88, -s*k = 4*c - 52. Let q = -20 + k. What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from eeepeeeeeepeppepee?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmytzzzzmm. What is prob of picking 2 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008374925 rounded to 5 dps?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3362 - -36930\/11. What is the biggest value in -3, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) - 3\/6*-1. Suppose -2 = f, -4*o - 5*f + 3*f + 20 = z. Solve -3*r = -0*r + o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**6\/120 - r**5\/60 + r**4\/12 - r**3\/6 + 13*r**2. Determine n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60150876 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269359061 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**2 + 2. Let g(h) = -28*h**2 + 0*h + 12*h**2 + 0*h. Calculate p(g(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2985 or 2984?\nAnswer: 2985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94170047?\nAnswer: 29, 3247243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-364) + (-6)\/39. Let p = 0.38 - 0.3. Let g = p + -0.18. Which is the nearest to g? (a) -0.2 (b) f (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 + g**2 + 3*g + 4. Let o be 2\/5 + 600\/(-250). Calculate f(o).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*q - 16, -q + 3*s = 2*q - 18. Calculate the highest common factor of 110 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = 7*f. Let b be ((f\/(-3))\/(1\/(-6)))\/1. What is the smallest value in 3\/4, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*t = 116*t + 104728. Determine n, given that -8*n**3 + 26182*n**4 + 4*n**2 - t*n**4 + 2*n**5 - 4 + 6*n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7208198 litres to millilitres.\nAnswer: 720.8198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 19*c = 275. Let d = c + -52. Suppose -5*n - d*v = -2570, 4*v + 352 = n - 162. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:27 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1757, 1758, 1759?\n\"Answer: u + 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 30*l + 21*l - 1 + 1 - 2*l + (-5 + 0 + 3)*(-l + 1 - 1) + 3*l + l - 3*l.\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981524977 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c**(1\/4))\/c)\/c*c)\/c)\/c**(-2\/11)*(c*c**(-1))**(-40)*(c**(5\/4)*c**4)**34 assuming c is positive.\nAnswer: c**(7873\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 142.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.41 - -0.09. What is the closest to 1 in i, -1\/9, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9145607 decades?\nAnswer: 9.145607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 - p**3\/6 - 8*p**2. Suppose c(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.3 - 18. Let q = v - 1. Put q, -4, -4\/5 in descending order.\nAnswer: q, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 24. Suppose -5*o - 4*s + 225 = j, 2*o + 5*s - 24 = 49. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92.6 - 94.1906. Round i to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 10) + (-15 - 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/616)\/(155\/26040)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22562602 to the nearest integer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13112520, -26225043, -39337566?\nAnswer: -52450089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 55. Suppose -6*r + g*r = 10. Suppose -3*x - a + 206 = r*x, 34 = x + 2*a. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*z**2 + 1 - 9*z - 3 - 20*z + 8 wrt z.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 9*l - 8. Let s(p) = 5*p + 7. Let c be s(-3). Let o be g(c). Is -3 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 3951110\nAnswer: -9\/3951110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253989171 to the nearest integer?\nAnswer: 15937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(6\/(-136))*((-2535)\/2730)\/(-13)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + (1 - -4 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uha when three letters picked without replacement from {h: 1, a: 3, u: 5, f: 4}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1085)\/(-10850)*10*5\/(-12)*(-27)\/(-360)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u + 0*u + 9*u)*(-4 - 5 + 6) + (8 - 3 + 4)*(0*u + 5*u - 4*u) - 1 + 1 + 2*u.\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697748, -1395492, -2093228, -2790956?\nAnswer: -3488676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -59. Let y = b + -17. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 900338.971 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76 + 275?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -227 - 3b7c22?\nAnswer: -3b8149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4*c**(3\/11))\/(c**1)**(1\/4))**(-4) assuming c is positive.\nAnswer: c**(-177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -9)\/((-76)\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*x = -5205 - 13039, -3*h - 5*x + 27370 = 0. Suppose -7*g + h = 3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - h + 1, -3*h = 5*u - 5. Let n = u - -1. Suppose n*z - 40 = -r - r, -3*z = 0. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 6\/21*-7. Solve -x - 6 = -j*l - 2*x, 0 = l + 5*x - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5949 is divided by 1171?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -15*y - 19*y. Let i(d) = -6*d**3 + 13*d**2 + 5*d - 4. Let g(t) = t**3 - t**2 + t - 1. Let u(j) = 5*g(j) + i(j). What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 173.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.6 + 10.6. Let w = 0.1078 + -0.0078. What is the third smallest value in -9\/8, -0.5, w, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102404 rounded to five decimal places?\nAnswer: 0.01024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9 - 0. Suppose -f = -3*n - 0. Let a(l) = -1 - 3*l + 0 + 2*l - n. Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 13*o + 6596. Let q be 2\/11 + o\/(-22). Suppose 6*n - n - q = 0. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p - 4. Let s(a) = 3*a + 1. Let k(b) = -7*s(b) - 2*v(b). What is the smallest common multiple of 1*(-2 + 1)*0 + 16 and k(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-2 + sqrt(343) + 1)**2.\nAnswer: -34*sqrt(7) + 2024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9960*a - 403. Is w(-11) 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 qyqv. What is prob of sequence yq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31220220 (base 4) to base 9.\nAnswer: 84543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*h**4 - 36*h**2 - 51\/2*h**3 + 0 + 162*h = 0. What is h?\nAnswer: -3, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.75 times -1483\nAnswer: 1112.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -186\/5 (b) -1\/7 (c) 0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + h**4 - 3*h**4 + 5*h**4 - 3*h**4 - h**4 + (-4 + 4 - 2*h**2)*(-6*h**2 + 2*h**2 + 2*h**2).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 - 485414*y**2\/11 - 37853166*y\/11 - 738077418\/11.\nAnswer: -2*(y + 39)**2*(y + 242629)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4499825 and 106975.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6449 - -6465. Suppose 225 = 5*g - 5*m, -1 = -5*m + 9. What is the remainder when g is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1221)\/(-148) - 5\/4. Suppose z*y - 19*y + 1512 = 0. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(0 - 1)\/(-1). Let l(x) = 6*x**2 - x - 1. Let w be l(3). What are the prime factors of (-3)\/9 - w\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6882431*-1\nAnswer: 6882431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -980 + 2*k**2 + 458 + 346*k - 40*k**2 + 486 = 0. Calculate k.\nAnswer: 2\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-4)*((-28)\/(-7))\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 + -4. Sort -0.2, q, -2\/7 in decreasing order.\nAnswer: q, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 9*f + 11. Let a be h(6). What is the greatest common factor of 203 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541552778 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 56 = -5*l. Let u(j) = -7*j**2 + 56*j + 4. Let i be u(l). Let q = -16 - -47\/3. Sort i, q, -7 in ascending order.\nAnswer: -7, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6963 + 6922. What is the nearest to g in 7, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 61. What is the tens digit of r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22\/2807 - 67373\/50526. Find the common denominator of h and -10\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + f**2 + 1. Let b(u) = -5*u**3 + 40*u**2 - 90*u + 5. Let q(p) = -b(p) + 5*c(p). Factor q(a).\nAnswer: -5*a*(a - 2)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -461975.2201 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 9*l + 7. Let z be d(5). Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14408.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -517, -0.051?\nAnswer: -517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00557 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:46 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 123 + 123.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175.907 + -176. What is s rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -86 (b) 0.4 (c) 0.6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/517 and -87\/110?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k - 3 - 19*k - 1 + 17*k. Let u(q) = 12*q - 11. Give 8*n(x) - 3*u(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 19 - 4*i**2 + 48*i - 146*i + 46*i + 43*i. Let o be s(6). Is o at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 49. Suppose -279 = z*k - 12*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 386)\/(-21) + (2\/(-5))\/(39\/780)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/51*((-288)\/40)\/(1414\/505).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222 + 211021012201?\nAnswer: 211021022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, v: 2, a: 1, x: 8}. What is prob of sequence avv?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 - 32*p**3 + 24*p**2 + 32*p - 28 = 0 for p.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.83 - 0.63. Let a = 9 - q. Let y = a + -0.8. Sort -2\/3, -4, y in descending order.\nAnswer: -2\/3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -51. Let v = o + -27. Which is the closest to 3? (a) 2 (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 138.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 600*d + 605.\nAnswer: -5*(d - 121)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.01. Let s = 0 + 1. Let j = 25730.2 - 25730. Which is the second biggest value? (a) j (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 70*f - 285. Let o be l(4). Which is the smallest value? (a) 1 (b) o (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 1. Let u(w) = 3*w + 1. Let g = 17 + -21. What is g*t(k) - 3*u(k)?\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272\/15 - 4604\/105. Suppose 2*r = -5*o - 62, 7*r + 4*o = 2*r - 138. Let z = c - r. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/4)\/4)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 4*j**2 + 6*j - 2. Does 42 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**4 - 5*s**2 + 5*s**2)*(1 + 4 - 4) + (s - 4*s + s)*(1478*s + 42*s**3 - 1478*s) to a*s**3 + n*s**2 + x*s**4 + r + m*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148 + 217*q - 65*q + 50*q**2 - 46*q**2.\nAnswer: 4*(q + 1)*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 44643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7806, 4.\nAnswer: 1, 4, 7806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j. Suppose 0 = 5*k - 5*c - 145, 4*k + c - 126 = -0*k. Let y = k - 28. Let n(g) = -25 + 25 - g + y*g. Calculate n(m(u)).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = 34*b + 177. Let g = -2 - -2. Suppose g = 4*v + h - 16 - 66, 84 = 4*v + 2*h. Calculate the remainder when b is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.279054 millennia to years.\nAnswer: 1279.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -77. Suppose 8*j + 10 = d. Suppose -2*m + 32 = -4*l, 22 = j*m + 3*l + 1. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and 0.1697.\nAnswer: 7.8062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) 16 (c) -6 (d) 15567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 2*d + 45. Let z(j) = j**2 + 3*j - 43. Let h(x) = -3*l(x) - 2*z(x). Find the first derivative of h(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 + 12*p - 11. Let t(h) be the third derivative of -3*h**5\/20 + 3*h**4\/4 - 8*h**3\/3 + 3*h**2 - 2. Let b(n) = 7*f(n) - 5*t(n). Factor b(i).\nAnswer: 3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44961737*a**4 + 42675088*a wrt a?\nAnswer: 539540844*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 3*v**2 - 5*v - 5*v - 11*v = 0 for v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -24*s + 112. Determine n(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 77. What is the nearest to 0 in -2, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 172*c + 88. Determine q(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470653.\nAnswer: 470653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054185 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34089 is divided by 10996?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsss. What is prob of picking 1 t and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 8. Let r be f(-5). Let m = r - -6. Solve 0 = -3*x + m + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958981139 to the power of 1\/2, to the nearest integer?\nAnswer: 54397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let q(b) = -5 + 4 + 1 - l*b**2. Let c(i) = 2*i - 6*i + 2*i. Give c(q(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**28)**(3\/28) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from rgggrrgggrgr.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayeyyeayey. What is prob of sequence ayey?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 2, -2, -3, -1\/4, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 53.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18) + 6\/9)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**4\/6 + t**3 + 22*t**2. What is u(7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - l - 16 = 0, 4*l + 11 = 2*h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 359 (c) 2\/21 (d) -4\/5 (e) 0.2 (f) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -11 - (-5 + 3) - -4 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-264)\/(-21)*(-21)\/(-6) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 123.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 1390*p**2\/7 + 6992*p\/7 + 800.\nAnswer: -2*(p - 700)*(p + 1)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from -1131.\nAnswer: -1128.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 171496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 119, 281, 529, 875, 1331, 1909, 2621?\nAnswer: 3479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971771 - 972239 = -78*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 0 + 1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5 - 2 = -3*r, -5*r = 3*j - 31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -1\/2*m**5 + 5\/16*m**4 + 15\/4*m**2 + 154 + 0*m + 65\/12*m**3. Find k such that u(k) = 0.\nAnswer: -2, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 158887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2*sqrt(432) + sqrt(432) + sqrt(432)))**2 + -2)*-6.\nAnswer: -165876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 5:09 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -19 + 4. Solve 0 = 4*r + p*z - 20, 4*r - z = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u*u**1*u\/(u\/(u\/u**(3\/5))*u*u)*u**0\/u**6 assuming u is positive.\nAnswer: u**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 divided by -198668?\nAnswer: -123\/49667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/68393 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 25*s**2 - 30*s + 35. Let t be n(-11). Solve t*v - 7*v = 3*w - 17, v = 4*w - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 - (-18 + 15 + 20 + -37)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 5. Suppose 2*z = 2*j - 4, -5*z = o*j - z - 46. Calculate the remainder when 16 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 31*c = -1782. What is the third derivative of -13*p**2 + 232*p**6 - c*p - 548*p**3 + 12*p**2 + 548*p**3 wrt p?\nAnswer: 27840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-2054)\/(-2844))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) -0.5 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39857588021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.5 - -1.5. Let p = k + 80. Put 0, p, -5\/4 in ascending order.\nAnswer: -5\/4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -48*l + 20. Let q(h) = -12*h + 5. Let g(p) = -2*f(p) + 9*q(p). Let c(n) = -4*n + 2. What is 8*c(v) - 3*g(v)?\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*d + d. Calculate the remainder when 46 is divided by d\/6*9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375957 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 13, i: 3, f: 1, h: 2}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - q**2 - q. Let o(d) = -d**2 + 11*d - 62. Let u be o(0). Let w = u - -64. Calculate k(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3840501?\nAnswer: 3, 7, 199, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9 + 3\/9. Let y = -766 + 503. Let d = 2107\/8 + y. Does d = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 + 0*o - 8*o + 8 + 5 with respect to o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/171? (a) -0.6 (b) 0 (c) 0.4 (d) -0.05 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/20304 and 151\/3024.\nAnswer: 142128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 4. Let b be j(4). Calculate the common denominator of -89\/8 and -2 - ((-138)\/(-4) - b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -2\/5, 2, 2\/137, 4.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0 + 2*l + 3*l**3 - 2 - 1 - 4*l**3. Let o be (0 + -7)\/(1 + -2). Suppose 2*u = o - 3. Let a(r) = r - 1. Determine u*a(x) - c(x).\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -356?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 + 2*q + 4. Calculate the smallest common multiple of u(0) and 17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, n: 5}. Give prob of sequence znz.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 48. Let a = 114 + f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -265*k**3\/2 + 593*k**2\/2 - 39*k + 3. What is the first derivative of z(l) wrt l?\nAnswer: -795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.12 * -8.2\nAnswer: -74.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.9531 - 0.3631. Round h to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 130869, -9, 42 in increasing order.\nAnswer: -9, 42, 130869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5142544 divided by -671.\nAnswer: 7664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 10. Find the third derivative of f*l**6 - 7*l**3 + l**2 + 7*l**3 + 3*l**6 wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 10311*i = -10308*i + 45, 8*v - 4*i = 140 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3))\/sqrt(11) - (-1*sqrt(32))**2) + -3 + -5.\nAnswer: -40 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.6 + 43. What is a rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16423820?\nAnswer: 2, 5, 7, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 100. Suppose r + 3*r = t. Let w be 6 - 1 - (-1 + 3). Solve -z = -j - 5*z + r, 0 = 5*j - 2*z - w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -19*p. Let u(x) = 301*x - 5. Let b(a) = -23136*a + 384. Let m(g) = 5*b(g) + 384*u(g). Give m(c(s)).\nAnswer: 1824*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 27*u - 1. Let i be d(-9). Is ((-3086)\/(-6))\/((i\/3)\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1036297 - -7?\nAnswer: 10362a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 + 5*b**3\/6 - 3*b**2 - 3*b. Let a be d(-6). Let g be 9\/3*(1 + a). Solve -1 = -g*p + 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5347, -5346, -5345, -5344?\nAnswer: -5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848768?\nAnswer: 2, 3, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14228*l + 71176. Determine j(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.047 - 0.087. Round c to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71.3 + 68. Let q = -1.3 - v. What is the nearest to -0.1 in -4, -5\/3, q?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + -1 + sqrt(175))**2 + 5.\nAnswer: -890 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1763, 2, -4, 21 in descending order.\nAnswer: 1763, 21, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {z: 1, w: 1, d: 5, i: 5, y: 1, n: 4}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6 = 111. Determine k, given that 4 + d*k - 4*k**3 + 9*k**2 - 25*k + 3*k**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = 4*a - 499, 2*a + 3*f = 227. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 0.3, 8, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37, 0.2, -5354?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 383, 4, 0, 3, 2, -10377 in descending order.\nAnswer: 383, 4, 3, 2, 0, -10377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 264.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + v**3 - 1 + v**2 - 5*v**2 + 3 - v**4 in the form j*v + u*v**2 + x*v**3 + b + y*v**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/436490 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47071.5 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d, 3*m - 12888 = -m + 4*d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -11227486?\nAnswer: -11227486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 177 + 1?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from uuuumuuu?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708752*y**3 + 87*y**2 - 1813*y?\nAnswer: -4252512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14768 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22888493 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:19 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-2) + (-456)\/18)*-3. Let i = -736\/9 + j. Let i*c**2 + 0 - 2\/9*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 2. Let t(f) = -13*f - 9. Let q(v) = -18*g(v) + 4*t(v). Let a(o) = 1 - 1 + o**2. Determine q(a(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i + 3. Let z(w) = -23*w - 7. Let p(q) = q - 2. Let v be p(4). Let t(n) = v*z(n) + 5*a(n). What is the remainder when t(1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 - 26.33. Let v = 26.4 + h. Which is the third biggest value? (a) 10 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10515.\nAnswer: 3, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1831 + -1822. Let x(f) = 5*f**3 + 3*f**2 - f - 3. Let l(g) = -g**3 + g**2. Let i(m) = -6*l(m) - x(m). Give i(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5615.\nAnswer: 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from tpgpppplpgglpgtp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4560 and 0.15.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56075.01 decades in years?\nAnswer: 560750.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -0.01. Let f be (2\/4)\/((-350)\/280). What is the third biggest value in 2, a, 7\/4, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 9. Let b(l) = -l**3 - 8*l**2 + 2*l + 7. Let v be b(-8). Let h(d) = -d - 9. Let p be h(v). Suppose -f - 4*f = p. What is c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.8 - 13. Which is the biggest value? (a) x (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m + 0*m**2 - 25\/2*m**6 - 21*m**5 - 33\/4*m**4 - m**3 - 4. Factor r(o).\nAnswer: -3*o**2*(o + 1)*(5*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -138, -219, -300, -381, -462?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + r - 3. Calculate s(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 3 + -54 + 94\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -2*q, -5*q + 2*i = i - 11. Let n = -149 + 601\/4. Are n and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, x: 14}. Give prob of sequence xgg.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1645980 and 48?\nAnswer: 6583920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 123 (b) -5 (c) 16\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 57 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 13*j**2 - 12*j + 9. Suppose 0 = 3*d - 126 + 96. Let p be i(d). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 + 2830*g**3 - 496965*g**2 + 27626200*g + 28126000 = 0.\nAnswer: -1, 140, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2607432 and 14.\nAnswer: 18252024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.012 - -0.212. Let m = -4 - -12. Let g = m - 7.6. Sort -1\/3, f, -0.1, g.\nAnswer: f, -1\/3, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:00 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)\/i*i\/(i*i**(-4\/7)\/i))**10 assuming i is positive.\nAnswer: i**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*k**5 - 140*k**4 - 960*k**3 - 1360*k**2 - 400*k = 0. What is k?\nAnswer: -2, -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 + 2*r + 1. Let o be d(-2). Let x be 16\/(0 + o - -1). Let b be 2\/4*(x - 8). Solve b = 4*g + p - 14, 0 = -4*g + p + p + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 111, 133, 171, 231?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**2 - x + 2. Let c(p) = -p**2 - 7*p - 8. Let m be c(-6). What is the units digit of k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, 8, -1\/3, -0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*f + 35 = 0, -3*f + 8 = f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 = -d, -l + 23 = 2*l + 5*d. Let j(x) = 2*x**3 + 2*x**2 - 2*x + 1. Calculate j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 2\/7 (c) 0.36 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4534334 divided by -3?\nAnswer: -4534334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(10\/9)\/p)\/p**(-36))\/(p**(6\/11)\/(p*p\/(p*p**(-22)))))**(1\/13) assuming p is positive.\nAnswer: p**(446\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(104) - sqrt(104)*2) + sqrt(104)))\/(((sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2) - sqrt(2))*-3 - sqrt(2)) + sqrt(288)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 + 235. Suppose -5 = -f, r*d = 3*d - 4*f + 46. Calculate the greatest common divisor of 143 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.41 or 17121?\nAnswer: 17121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5 - 1 = 0. Let b be m + (0 - 0\/1). Let n be (-2)\/33*32 + 2\/1. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6204, 4 in descending order.\nAnswer: 6204, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -134. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*(n\/((((n\/n**9)\/n)\/n*n)\/n))\/n*((n\/(n*n**(2\/7)))\/n)\/(n**10*n))**12 assuming n is positive.\nAnswer: n**(816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let y(r) = r**2 + l*r**2 - r**2. Let d(m) = -m. Let o(g) = 14*g. Let j(w) = 12*d(w) + o(w). Calculate y(j(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -118010 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (sqrt(78)\/sqrt(6) - sqrt(13))*6 - (-1*sqrt(26)*1)\/(sqrt(2) + (-2*sqrt(4)\/sqrt(2) - sqrt(2)))) + 5.\nAnswer: -sqrt(13)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -44407*s**2. Let i(h) = -18*h**2. Calculate x(i(u)).\nAnswer: -14387868*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*t + 3 = 2*h, -t - 4*h + 15 = 0. Suppose v = 3, -t*v - 10 + 27 = 2*p. Solve 0 = 5*x + 3*b - 28, 0 = p*x - b - 3*b - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201 (base 3) in base 11?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/462 and 63\/38686252.\nAnswer: 812411292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10275 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 5438733.4429?\nAnswer: -5438732.7429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*j**2 + 259*j**2 - 6*j**3 + 285 - 140 - 141.\nAnswer: -6*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 + 0.12. Let m = p - -6.63. Let v = 23.5 - m. What is v rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8 - 30 - y - 37 - 6. Let o(s) = 19*s**2 + 2*s. Let a(z) = -67*z**2 - 7*z. Let h(x) = 4*a(x) + 14*o(x). Calculate h(l(m)).\nAnswer: -2*m**2 - 324*m - 13122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**13*q*q**22)**(17\/2))**(-2\/59) assuming q is positive.\nAnswer: q**(-612\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*-1*275\/(-50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from {o: 2, y: 8, d: 9}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*y + 28 = y, 0 = 2*h + y. Suppose -4*j + 7 + 5 = 0. Suppose -u = -4*u + j, 5*w - 46 = 4*u. What is the lowest common multiple of w and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -11896793.\nAnswer: 4\/11896793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2, 0.1768?\nAnswer: 0.1768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - 394. Let p = a - -3415\/7. Which is greater: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 500047763*f**5 + f**2 + 1263598*f - 100 wrt f.\nAnswer: 10000955260*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -3*q, 2*q - f + 5*f - 6 = 0. What is the second smallest value in 2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(33) + (sqrt(2673) + sqrt(2673)*3 - sqrt(2673)) + sqrt(2673))\/(-6*(sqrt(15)\/sqrt(5) + sqrt(3))))**2.\nAnswer: -15059\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 14*p - 3. Let v be k(12). Let f(z) = 16*z + 63*z + 5*z - v*z. Let w(n) = n. What is w(f(i))?\nAnswer: 63*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 98688, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -48997*j. Let i(b) = -b - 64. Calculate i(o(v)).\nAnswer: 48997*v - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374221557 to the power of 1\/2, to the nearest integer?\nAnswer: 19345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 15) in base 14?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 + 15*c - 4. Let p be y(3). Suppose p*f + 3443 = 16*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*r + 4)*(-4*r**3 + 7*r**3 + r**3) + (0*r**3 + 6*r**3 - 4*r**3)*(r - 3*r + 3*r) as g*r**2 + l*r**4 + x*r + v + w*r**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2655386.8 to the nearest 10000.\nAnswer: 2660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -583 - -24485\/42. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n - 54 = 9. Let k(x) = x**3 + 5*x**2 + 5*x + 3. Let h(f) = 2*f**3 + 10*f**2 + 11*f + 7. Let q(u) = 2*h(u) - 5*k(u). Give q(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/6*(-600)\/220.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*j - 11. Suppose j*w = -2*w - d + 85, 80 = 5*w + 2*d. Calculate the remainder when 70 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + 4*k)*(2 - 5 + 4) - 4*k + 4*k - 2*k - 195978*k + 196015*k - 131 + 321.\nAnswer: 36*k + 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g - 2. What is the remainder when 1356\/10 - 20*24\/(-1200) is divided by p(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.5, 5, -1, 8, -6\/1511?\nAnswer: -6\/1511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -104*a**2 + 106*a - 2. Let i be l(1). Suppose 35 = 5*v - 5*c, -5*c - 22 = -7. Put v, i, -3, 3 in increasing order.\nAnswer: -3, i, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -13203?\nAnswer: 13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 591\/2 - 32399\/110. Calculate the common denominator of c and -14\/3.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 20*u = -13*u - 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 2. Let i(m) = 5*m - 8. Let y(o) = o - 8. Let n be y(6). Let j(b) = n*i(b) + 9*h(b). Does 2 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 3a8b4?\nAnswer: 3a8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1958*a**3 + 1952*a**3 - 3917*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/569, 2726, 2\/5 in increasing order.\nAnswer: -3\/569, 2\/5, 2726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -7. Let f = 0 + 2. Let u = f + -5. Let o(z) = -6*z**2. Let x(p) = 5*p**2. Calculate s*x(t) + u*o(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 3*w = 15*t - 63, -3*t - 53 - 36 = -4*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74908 + -74497. Suppose 262 = 2*j + 2*o - 552, 849 = 2*j - 5*o. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-2)\/2))\/((-1343)\/(-1343)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 7. Let x(g) = -g**3 + 9*g**2 - 7*g. Let j be x(8). Let m be k(j). Let n = -5 + m. Solve -4*v - 3*b = -v - 15, 0 = v - 2*b + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33*(-1)\/3*1. Let q be 12259788\/1584 - (-2)\/r. Let f = q - 7730. What is the common denominator of 95\/8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*z**4 + 22*z**2 + 82?\nAnswer: -52*z**3 + 44*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3025\/110*(-2)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53712 is divided by 184?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**2 + 0*h**4 - 130\/3*h**3 - 138 + 26\/5*h**5 + 0*h. What is the third derivative of u(f) wrt f?\nAnswer: 624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115666428.143 - -2684\nAnswer: -115663744.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 124, 0?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 91\/21 - 2\/6. Let q = -7 - -8. Is 3 a factor of (c - (q - -2))*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 2. Let z be m(1). Suppose -z = 4*n - 12. Put -4, -5, n in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 59*k + 57*k + 1)*(3 - 3 - 2*k + (-1 + 1 + k)*(-3 - 2 + 4) - 3*k + k + k + (6 - 2 - 7)*(-2 + 2 + 2*k) + 4*k - k - 2*k).\nAnswer: 18*k**2 + 72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 603, 579, 523, 423, 267, 43, -261, -657?\n\"Answer: -2*k**3 - 4*k**2 + 2*k + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.53 - 3.6. What is m rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3448070, 13792385, 31032902, 55169615, 86202518, 124131605, 168956870, 220678307?\n\"Answer: -l**3 + 3448107*l**2 + l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11\/7 (b) -47 (c) -0.1 (d) 1\/6 (e) -0.3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-14)\/112*-136 + 13\/8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/5, 0.1, -3, -41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.66, 4, -3, 2\/29, -5, -709 in ascending order.\nAnswer: -709, -5, -3, -0.66, 2\/29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + 1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200346 <= 200391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:21 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2 - 3990*m = 0. Calculate m.\nAnswer: 0, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 4*w + 60. Solve -f + 15 = -w*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/25)\/(5\/25). Let o = -22.025 - -0.025. Let z = 22 + o. Which is the third biggest value? (a) 5 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m + 124*m = 169*m - 1800 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*b = -560, z + 5*b = -3*z + 596. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(153) - (-5 + sqrt(153))) - sqrt(153).\nAnswer: -3*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12055751, -12055749, -12055747, -12055745, -12055743, -12055741?\n\"Answer: 2*r - 12055753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - y - 22 = 0, 0*l + 5*y = -l - 26. Let f be (2 - -1)\/(-3) - l. Let a(b) = b**2 - 5*b - 6. Calculate a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -9a?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2534 + 2744. Calculate the greatest common factor of q and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4*(sqrt(704)*2 + -5) - (0 + sqrt(704) + -4 + sqrt(704) + (sqrt(704) - (sqrt(704) + -1)) + sqrt(704))) + 1)*-3)**2.\nAnswer: -950400*sqrt(11) + 19296000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 1\/5 (b) 1\/3 (c) -0.5 (d) 985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 4, m: 2}. Give prob of picking 2 m and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/99 and 74\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2. Let p be ((-222)\/37)\/(2\/(-14)). Let i(z) = 91*z - p*z - 46*z. Give i(d(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36294727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a**2 - 26*a**2 + 2 - 27*a**2 + 4*a to the form p*a + l + x*a**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 13237123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/k**8*k\/k**3*k*k**(1\/7)*(k*(k*k\/(k*k\/(k\/(k**(1\/4)*k))))\/k)**(-11\/9)*(k\/k**(1\/4))**(-50) assuming k is positive.\nAnswer: k**(-13117\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2249\/45 + -261\/5. Suppose -5*a = 5*f + 80, 2*a = f + a + 8. Calculate the common denominator of (-34 - -9)*1*2\/f and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-17)*m*m*m)**(2\/11)*(m**(1\/2))**(7\/8) assuming m is positive.\nAnswer: m**(749\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68) + (-3 + sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 84, -2, 387, -3, 1 in descending order.\nAnswer: 387, 84, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 1239*v + 80676.\nAnswer: 3*(v + 81)*(v + 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -13)*14\/(-24)*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4 + 3399369*x**3 - 962977499511*x**2 + 962953703967*x + 5777844600978 = 0.\nAnswer: -2, 3, 566561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -210837\nAnswer: -13\/210837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 30*s**2 - 2*s + 1 - 12*s**2 - 10*s**2. Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:05 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (380\/42 - (-2460)\/(-3444)) + 6\/(-18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 63*q**2 - 2. Is u(-2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 48. Let a be w(20). Suppose -2*x - a = -4*m + 2*x, 4 = 4*m + 4*x. Solve i - v - m = -i, -5*i + 10 = v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(28 - -6) - 42.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2208390, 2208389, 2208388, 2208387?\n\"Answer: -i + 2208391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1335380, 2670760, 4006140, 5341520, 6676900?\n\"Answer: 1335380*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 5)\/(-3*(0 + -1)). Solve q = -5*d + 4*r - 4 - 12, 5*d = -3*r - 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1850*a**2. Let f(n) be the first derivative of 2*n**2 + 4532. What is r(f(m))?\nAnswer: 29600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11900 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1207, 1759, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18637 is divided by 137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3846\/(-252) - (-9)\/21 and -59\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 53*m - 58*m + 27, -5*m = -2*r - 21. Which is the closest to -2\/7? (a) -0.5 (b) -3 (c) 0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*a - 2*f, -3*f + 0*f = 2*a + 32. Calculate the common denominator of (6\/a)\/((-3)\/(-5)) and 2\/7 - (-1428)\/(-539).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8\/6)*90\/27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0274 - 6.0274. Put 2\/9, 0, y, -7 in descending order.\nAnswer: 2\/9, 0, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a14 + 3?\nAnswer: a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkkeszkkzv. Give prob of sequence ze.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (410\/(-574))\/(15\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -19*b**4 + 3*b**3 + 3*b**2 + 10*b. Let o(v) = 18*v**4 - 2*v**3 - 2*v**2 - 11*v. Let k(l) = 3*o(l) + 2*u(l). Find the second derivative of k(h) wrt h.\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062 = -25*h + 845 - 432 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 2184*k\/5 + 1192464\/5.\nAnswer: (k + 1092)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by 42092?\nAnswer: -129\/42092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (3\/1)\/((-3)\/(-4)). Let o(v) = v**2 - 7*v - 10. What is o(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 42 = d, -107 = i - 202*d + 208*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0 = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 116, 2, 5, 14 in ascending order.\nAnswer: -4, 2, 5, 14, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -3. Let y = 10 - r. Let x = 7.0383 + -0.0383. Put x, -1, y in decreasing order.\nAnswer: x, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from sztzjutzzbtszzzzjz?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(5) + -2 + -5*(sqrt(15)\/sqrt(3) - sqrt(5)) + sqrt(125)*-1)**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6024 and -419683408.\nAnswer: -419683407.3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 219522851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*k + 3*o, -2*k + 421*o + 18 = 417*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5160, 4955, 4740, 4509, 4256, 3975, 3660, 3305?\nAnswer: 2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-10))\/(3\/420). Suppose 5*g + 6 = p. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 0*v + 36. Let i(t) = -4 - 2*t + 6*t - 4*t**2 - t**3 - 6*t + t. Let c be i(v). Solve c = -j + 3 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6737*g**4*v + 192*g**4 + 329*g**2*v - 4842*g**2 wrt g.\nAnswer: 161688*g*v + 4608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23804576.51+-606\nAnswer: 23803970.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x - 17. List the prime factors of w(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 46218.\nAnswer: 231090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h - 5*l + 20, -h - 4*l = -16. Is 2 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 5 = -13*m + 5*b, -20 = 5*m + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {w: 3, o: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -106, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 11 + 29. Determine j so that -j + 8*j**2 - i + 6*j - 10*j**2 + 7*j**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 280.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 138 = -5*b. Let s = b + 48. Suppose -s*q = -4*q + 1094. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18960*w - 2313*w**2 + 18959*w - 37919*w.\nAnswer: -2313*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(187\/132) + -12. Let d(m) be the third derivative of 0*m + z + 2*m**2 + 0*m**3 - 1\/24*m**4. Let o(h) = 8*h**2. What is d(o(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-17 - 12) - 13. What is the greatest common divisor of i and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8622330 or 2?\nAnswer: -8622330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x - 112. What is the least common multiple of 12 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**2)**(-1\/26)\/(z**(1\/2))**(17\/2))**(1\/9))**(-1\/28) assuming z is positive.\nAnswer: z**(73\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -2 + sqrt(180) + sqrt(180))*1.\nAnswer: -2 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntt when three letters picked without replacement from {t: 5, n: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 154 = 20*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132694511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + -1)*-2 + 2 + (sqrt(20)\/sqrt(4)*-1 + (sqrt(75)\/sqrt(5))\/sqrt(3))**2.\nAnswer: -10 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.382 - 0.703. Let j = m - -0.32099743. What is j rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3152483*s**3 + s**2 - 1407586*s - 2?\nAnswer: -18914898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16729, -66914, -150559, -267664?\nAnswer: -418229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1106*x**2 + 10102*x wrt x.\nAnswer: -2212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 20) + -4 + (-1 - -33).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 - 88*h**2 + 10*h + 5. Let l(m) = -m**3 - 4*m**2 + 2*m + 1. Let i(w) = -5*l(w) + v(w). Find y such that i(y) = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.36 + -63.54. Let m = -10214368.10329 - -10214446. Let l = m + p. What is l rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - s + 6. Let x(u) = u**2 - 1. Let c(o) = l(o) - 3*x(o). Calculate the smallest common multiple of c(0) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941865089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*i - 1 = 0, 0 = -5*c - 0*i + 3*i + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -287950.\nAnswer: -1\/287950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*s - 7. Suppose -z = -2*d + 4*z + 36, 5*d + 5*z = 90. Calculate the lowest common multiple of d and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6 = -2*j - o, -5*o - 18 = -2*j. Factor 0*a**2 - 1\/2*a**3 + 0*a + 0 - 5\/4*a**j.\nAnswer: -a**3*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 1)*(10 + 5). What is the tens digit of (i*-1)\/(-3) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r + 44 = 0. Let b(o) = 3*o + 27. Let n be b(r). Let x(v) = -v**2 - 9*v - 3. Determine x(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 3*r - 7*r, -4*s + 2 = 5*r. Let n be (-1)\/(12\/(-8) - r). Let t be (-1 + 52\/48)*n. Which is the second smallest value? (a) t (b) -0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1193*-2.2.\nAnswer: 2624.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*q. Factor -q*f + f - f - 4 + 5*f + 2*f**2.\nAnswer: 2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10488\/31 < 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4232888 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -427 + 14089\/33. Let k = w + 50\/99. Is 0 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -cb3358?\nAnswer: cb3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -4*v**6\/15 + v**4\/6 + 5*v**3\/6 - 4*v**2. Is n(-2) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 + 1379*y**3 - 106536*y**2 + 2695924*y - 22371932 = 0 for y.\nAnswer: 22, 34, 5438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24992 (base 12) in base 15?\nAnswer: eb45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - 16, 2*u + 5*g - 66 = 0. Suppose -5*a + 26 = 3*p - a, 2*p - a + 1 = 0. Suppose h + 0 = p. Solve -2*w - 5*r + u = 0, -w = h*r - r - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -68*u**3 - 7*u. Let o(k) = -69*k**3 - 6*k. Give -6*j(m) + 7*o(m).\nAnswer: -75*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u + u + 3*u + 4*u**2 - 227*u**3 + 1 + 228*u**3 + 0*u to the form c*u**2 + h*u**3 + q*u + z and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8757421\/5 or -1751485?\nAnswer: -1751485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 39*v + 1399. Let r(c) = -15*c - 466. What is -3*j(l) - 8*r(l)?\nAnswer: 3*l - 469","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*z - 141*z - 540 = 0. Let r = 290 + -155. Suppose 6*g + z = r. Calculate the remainder when g is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/k*k**(-2))\/((k**(-2)\/k)\/k)**(2\/13) assuming k is positive.\nAnswer: k**(-29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 1, w: 1}. Give prob of sequence mdw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*o - 2*o - 339 = 0, -3*q + o + 205 = 0. Does 18 divide 216*(-7 + q\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -2)*(-32)\/(-6). Let j = -158\/5 + h. Which is the second biggest value? (a) j (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-22))\/(1\/8). Suppose -j*u = 2*v - 176, 3*u - 19 - 115 = -v. Is 47 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/4 + 687*c**2\/4 + 1371*c\/4 + 685\/4 = 0.\nAnswer: -685, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/3 - 40186*d**3\/3 + 403809013*d**2\/3 - 538251284*d + 538197708 = 0.\nAnswer: 2, 20091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*y - 12*y + 3, 0 = 4*k - 5*y - 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/11 and 315\/12 - 2 - 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/6)\/((646\/(-444))\/(-323))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 8. Suppose 4*r + j - 18 = 0. What is the greatest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 10*b + 14*b = 2*m + 60, 3*b + 0*b + 121*m = -3618 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, n: 3, b: 1, y: 1, v: 1, c: 2}. Give prob of picking 1 n and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 30. Let f = 5 + -5.3. Which is the nearest to t? (a) 0.2 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 3*l**4 + 2*l**4 + (-l**2 + l**2 - 9*l**2)*(-4*l**2 + 5*l**2 + 3*l**2) - 3*l**4 + 3*l**4 - 2*l**4 + 1 + 2*l**4 - 1.\nAnswer: -37*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.99 + -2.99. Which is the second smallest value? (a) p (b) -0.19 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (-1*sqrt(7920) - sqrt(55)) + sqrt(55))\/sqrt(5).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-80))\/((-30)\/(-8))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -102854.675 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -4) + (-956)\/408. Let m be -2 - ((-814)\/204 - -2). Let j = m - s. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - x**3 + 8*x - 108*x**2 + 103*x**2 + 2*x**3 = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2 - 544*a - 545 = 0.\nAnswer: -1, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 17*g**2 - 3*g + 9. List the prime factors of a(9).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h - 1244. Find the common denominator of 173\/30 and h\/231 + 156\/286.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59526247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.031, -2, -0.4, -5 in increasing order.\nAnswer: -5, -2, -0.4, 0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 159.8. Let y = q + 13. Let d = 0.6 - y. What is the nearest to -0.3 in 0, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 170*a + 1092. Determine t(-78).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + 2*w**2 - 4*w)*(-2 + 2 + 2 + (0 + 2 + 4)*(-2 + 6 + 1)).\nAnswer: 64*w**2 - 128*w - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*d - 4182 + 4227, 35 = 2*g + 3*d for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103 and 0.745.\nAnswer: 76.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/((-60)\/9)*5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5823 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*p - 7. Suppose -2*t - 4 = 3*b, 2*b + p = 2*t + 2*t. Sort 2\/3, -0.5, b in descending order.\nAnswer: 2\/3, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -43?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*k, -4*k + 2 + 2 = -4*y. Suppose -2*h = -4*v - 8, -2*h - y*v + 2 = -v. Solve 2 = -3*s - a, -3*a - 19 = -2*s - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:35 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - ((-18 - -3) + -3)) + -12119 + 12099?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -13*w + 2*w. Find the common denominator of 72\/35 and ((-1395)\/(-12))\/5 + w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 86\/7 (b) 4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -67. Differentiate 13*v**r + 2 - 18*v**3 + 12*v**3 + 33 - v**4 with respect to v.\nAnswer: -4*v**3 + 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 32\/23 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1312 = -790*k - 23*k + 314. Solve 4*m = 4*t + 2*m - 12, -k*t - 4*m = -26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/5 (b) 2\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/5? (a) -0.3 (b) -2 (c) 1\/3 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 1398851.\nAnswer: 1398851.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 22. Let o be (-21)\/35 + 178\/r. Let j be o\/26 + 15\/(-10). Sort 2, 1, j in increasing order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - (-3 + 3)) - (-165)\/(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*y + 16 + 15, -4*s + 4*y = -44. Let z(n) = 20*n**3 - 10*n**3 + 2*n - 9*n**2 + 7*n - 9*n**3. Let f be z(s). Solve 3*g + f = 7*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d + 42*d - 48*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from swkdczzdw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/22 and 131\/128670?\nAnswer: 1415370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 46 - 99)*(j**2 - 2*j**2 - 6*j**2) + (1 + 2 - 5)*(3*j - 3*j + j**2) - 3 + 3 + j**2 in the form l*j + r*j**2 + m and give r.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8379112 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 611056 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 5*x - 9. Let i be y(-4). Suppose 30 - 39 = -i*k. Let r(g) = -k*g + 3*g - g. Let f(c) = -17*c**2. Determine f(r(z)).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 43*c + 127. Give g(23).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -121*n + 66. Let b(h) = 30*h - 16. Let f(d) = -33*b(d) - 8*z(d). Let a(t) = 2*t - 140. What is f(a(l))?\nAnswer: -44*l + 3080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2869, -12259, -27905, -49801, -77941, -112319, -152929, -199765?\n\"Answer: g**3 - 3134*g**2 + 5*g + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/30)\/(2 - (-44)\/(-21)). Let m(i) = 2*i - 5. Let v be m(u). What is the common denominator of (58\/v)\/(1*12\/(-18)) and 25\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 5\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 3054*r**2 + r**3 - 131 + 6*r + 3054*r**2 - 6*r.\nAnswer: r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54894493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16.3. Let l = -68 - -69. Which is the fourth smallest value? (a) 2 (b) -0.2 (c) t (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 256907?\nAnswer: 256923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u - 5*d + 27104, -27120 = -2*u - 3*d. Is u a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)\/m**0)\/((m*m**4)\/(m\/m**(-1\/2)*m*m*m)))\/((m\/m**(-1\/6))\/m*m**5*(m**(-2))**(29\/2)) assuming m is positive.\nAnswer: m**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 3. Let z be (-12)\/(-20) + (-410)\/(-25). Let y(s) = -8*s**2 - z*s**2 + 27*s**2. Give y(t(h)).\nAnswer: 2*h**2 + 12*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 150824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, -1492?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 661 - 660.9. Let r = -0.3 + 0.5. What is the fourth biggest value in -5, r, b, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 18*a. Suppose 0 = -4*n - n + 5. Calculate the remainder when 35 is divided by m(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = m + 48. What is the highest common divisor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1751 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + o**4 - 3*o**4 + (o**2 + 3 - 3)*(-7*o**2 + 2*o**2 + 3*o**2) - 9*o**4 - 8 + 8.\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 360 - 132. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Let y(k) = k**3 - 5*k**2 - 15*k + 20. Let m be y(7). Suppose 5 = -5*j - 2*z, 3*j + z = 3*z + m. Solve b = d + 2*b - j, -v*d + 5*b - 45 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924076343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 + -0.8. Let w be (-1*(-7 + 3) + 0)\/2. Which is the third smallest value? (a) k (b) 0.038 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/6 or 2469?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60791805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1318 = 15*r - 1528 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -69. Let a = x - -138. Calculate the greatest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 88. Suppose -p = 13*a - 48. Suppose 34 = 5*u + 14, a*j - 5*u - 238 = 0. Calculate the remainder when j is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.156? (a) 4 (b) 0.25 (c) 1\/2 (d) 55 (e) -0.1 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, -2, 0.04, 0 in decreasing order.\nAnswer: 3, 0.04, 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - q + 91 = -50, -422 = -3*u - 4*q. Calculate the common denominator of u\/88*(-1 + 9\/18) and 11\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.83 and 0.213.\nAnswer: 1.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (-8 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 30 = -4*v, 5*v + 183279*k + 39 = 183275*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w. Suppose w = -38*p + 43*p - 460. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141247 + 106451 = 3058*n for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -w - 23. Suppose -5*k = 2*s - 2*k - 81, -k - w = -5*s. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191462812613\/409613820 + -17\/1861881. Let l = i + -5074\/11. Let o = -1812 - -29011\/16. Calculate the common denominator of o and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2225310 (base 9) to base 15\nAnswer: 189e69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**2 - 3700*o + 15090?\nAnswer: 4*o - 3700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + -2*sqrt(70))*2 + sqrt(70))\/(sqrt(160)*2 + sqrt(160)) - (5*(-2*sqrt(252) + sqrt(252)) - (1 + sqrt(252) + -3)))**2.\nAnswer: -431*sqrt(7)\/3 + 1300903\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 12*q + 8.\nAnswer: 4*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 - -6 - 0) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84812827049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m**3 + 705*m**2 + m + 46. Give k(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118376.\nAnswer: 2, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Suppose 0 = 2*q + v + 11. Let l = 45 + q. Calculate the greatest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.47848 or 4?\nAnswer: 0.47848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 4*f + f to the form u + m*f and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.07 - -20. Which is the third smallest value? (a) -0.5 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(2\/(-8)). Let v(g) = -2*g**s - 2*g + 0*g - g**3 + 23 - 24. Determine v(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167802639*b*l - 242801144*b + 2 wrt l?\nAnswer: 167802639*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)*6\/(-12). Let w(r) = r + 12. Let l be w(v). Suppose -o = 5*j - 23, 3*j - l = -o + 1. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 1. Let q(d) = 3*d + 1. Give 6*g(u) - 2*q(u).\nAnswer: -12*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209\/2139 - 1\/93. Put 71, -0.3, j in descending order.\nAnswer: 71, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 17*n**2 - n + 17. Let b be r(17). Suppose -78 = -2*q - b*q + 4*p, 5*p + 153 = 4*q. Sort 3, q, 4 in decreasing order.\nAnswer: q, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 1200 - 310 - 625. Solve 13*w = l*w + 192 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 27*k + 62. Determine s(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(((i**(-33)\/i)\/i)\/i))*i**11 assuming i is positive.\nAnswer: i**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 732736?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1685.4 + 1685. Put 3\/2, 25, c, 2\/15 in decreasing order.\nAnswer: 25, 3\/2, 2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*g + 3*w, 43*g + 5 = 48*g + 5*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -2690?\nAnswer: -2690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - c + 2. Let w be o(-5). Suppose -7*j = -8*j + 6. Let -d - 6*d**3 - w*d - 9*d**4 + 14*d**2 + j*d**2 = 0. Calculate d.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 64 = 3*d, 0 = 2*l - 7*l + 4*d + 80. What is the remainder when 61 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1038, -1019, -982, -921, -830?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1040.96 + 1041. What is the smallest value in -0.064, t, -4, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u**3 - 7*u + 1. Is w(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1319*u + 196540. Calculate y(-149).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z - 3*z + 3*z - 5*z - 5*z + (0*z + 2*z + 0*z)*(-3 - 1 + 5) + 3*z + z + 3*z - 15*z + 49 - 49.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25b + -1512?\nAnswer: -176d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 27*n - 84. What is the smallest common multiple of m(30) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15958 is divided by 807?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 699 - 464. Let z = s + -158. Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -142 (b) 0 (c) -1\/7 (d) -2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46334, 46340, 46348, 46358, 46370?\nAnswer: 46384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 770.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 548 = -2*g, 6 = -19*g + 22*g. Let r = f + 305. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x**4*z**2 - 12*x**4 + 36*x**3*z**3 + x**2*z**2 + 11*x**2*z - 21*x*z**3 wrt x?\nAnswer: 96*x*z**2 - 288*x + 216*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 1, r: 2, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76292 is divided by 12710?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14728? (a) 5 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 2 + 14 + 12 + 2*l to j + o*l and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4638*n + 31699. Determine c(7).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 + 3*x - 15. Let g be 8 - (-6 + (-2 - -10)). Let d be m(g). Let o = 2 - 1.8. Which is the closest to -1? (a) d (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -414 - 185*u**3 + 472 - 258 - 940*u - 790*u**2.\nAnswer: -5*(u + 2)**2*(37*u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:13 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -64. Suppose g*x = -7*x + 42. Calculate the highest common divisor of 51 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 529*s - 89 wrt s.\nAnswer: 529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4 + (-5)\/(-4). Let a(x) = 1 + x - 4 + 2 - 3*x**n. Determine a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(128) - sqrt(8)*-3) + -1 + 4*sqrt(12)\/sqrt(6) + 0.\nAnswer: -2 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -24 (b) -4 (c) -1 (d) -1985\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25305 - -41315. Let v = 10666 + 1338. Suppose 7*k = 3*k + 5*a + r, 3*k = 2*a + v. Round k to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**27*v\/v**(-36))\/(((v*v*v*v**34*v)\/v*v)\/(v**(-8\/3)\/v)) assuming v is positive.\nAnswer: v**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20244 (base 6) to base 8.\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/1631 or -2\/7?\nAnswer: 15\/1631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-11*d - 6 + 6)*(1 - 1 - 1 + (-4 + 6 - 1)*(-2 + 1 + 3)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (418\/2508)\/(2\/(-204)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1600 + 18. Suppose 0 = -3*s + t - 0*t + v, -2*s + 5*t + 1070 = 0. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -5, 4, -24, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8 - 7. Solve -4*w = 5*i + h, 3*i + 9 = -w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 48. Is k\/(3 - (6 - 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 272648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-18)*(-12)\/(-18). Let k = -9 + 5. Sort k, c, 3 in decreasing order.\nAnswer: 3, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Let q(l) = 12*l**2 + 14*l - 12. Let d(m) = q(m) + 12*z(m). Find the second derivative of d(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.8 in 1, 1\/3, 6\/179?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 154*n - 4. Let f(z) = 3*z**2 - 2*z + 1. What is 4*f(b) + p(b)?\nAnswer: 16*b**2 + 146*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2. Let o(g) = -13*g**2. Give o(s(a)).\nAnswer: -208*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*s**3*u - 13424*s**3 - 23*u**2 wrt u?\nAnswer: -5*s**3 - 46*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 201?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-520)\/(-24))\/5)\/((-384)\/(-144)).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4453648*i + 4453846*i = -28908 for i.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, w: 2, y: 4, o: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*-2*(-4 + 5*sqrt(1700)) + -4))**2.\nAnswer: -4800*sqrt(17) + 680144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220103203 - -2?\nAnswer: 220103211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 5*a\/3 - 8.\nAnswer: (a - 3)*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*k - 1. Let m be 15 + -11 + (0 - k). Find the first derivative of -11 - 7*i**m + 4 - 3*i**3 + 4*i**3 wrt i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 4*p**2 - 6*p - 6. Let s be y(-5). Let j = s - -5. Solve 5*q + j = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c. Let t(n) = -n**2 + 5*n + 4. Let b be t(5). Suppose b*w + 0*d + 3*d = 16, 0 = 4*d. Let o(v) = -5*v**2 - 5*v**2 + w*v**2 + 13*v**2. Give p(o(m)).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 31. Give u(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16670 - 288?\nAnswer: -17068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 2*z + 3. Let b be u(-2). Put b, 5, 1, -3 in decreasing order.\nAnswer: 5, b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537470633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*d - 0*d + 2854, 0 = d - 3*o - 574. Let x = 464 + 61. Suppose -4*t + x = -d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*j - 2. Let t be 0 + -8 - (-2 + 1 + -3). Is j at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 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 is 583 minutes before 3:35 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559.978512 + -560. Round k to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5191370, 5191407, 5191490, 5191637, 5191866, 5192195, 5192642, 5193225?\n\"Answer: 3*f**3 + 5*f**2 + f + 5191361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**3 - 3*x**2 + 5. Let b be v(2). Solve -b + 0 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -7*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147882 and 295176.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 2*c**3 - c**3)*(-3 + 2 + 7)*(-c**2 + 0*c**2 - 3*c**2).\nAnswer: 48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v + 10*v + 5*v + 17. What is the least common multiple of b(7) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 - 2*w - 6. Let g(c) = 17*c**2 + 9*c + 24. Give -4*g(r) - 18*l(r).\nAnswer: 4*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-107031)\/16152 - 3. Let a = x - -1\/673. Find the common denominator of (-134)\/(-28) + (-2)\/(-4) and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rllo when four letters picked without replacement from {w: 4, l: 4, o: 3, t: 2, r: 1, f: 3}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 87 = u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14559 = -2*v, -19*u = -6*v - 20*u + 43629. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(((-99)\/(-21))\/(-11))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzd when three letters picked without replacement from zeeczezidzezu.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 5*s**2 + s - 1. Let b be m(5). Suppose -15 = -b*c + 3*c. Suppose c = 3*a - 9. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563215 times 4?\nAnswer: 2252860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and 2\/(-4) - ((-67)\/10)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 184 = 24*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51042975.\nAnswer: 3, 5, 53, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40207, -80417, -120613, -160789, -200939, -241057, -281137, -321173?\n\"Answer: w**3 + w**2 - 40220*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185084 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 199*x + 2, -3*d + 5*x = -790 + 793 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 1. Let p(y) = y**2 + 4*y - 6. Calculate 10*i(u) + 2*p(u).\nAnswer: 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*j = -12, 0*b - 4*j = -b - 4. Solve -5*z - 3*g = -g - 5, -b*z + 3*g = -27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 14 = -b, 4*b + 8 = 0. Suppose 4*f + 4 = r*f. Let l(u) = 2*u + 3. Determine l(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -1 + 6, 0 = 2*u + 3*j + 2 - 0 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67\/6 + -83\/12. Find the common denominator of b and 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:52 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 187 and -661 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-5)*10\/150*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.71882ml to litres.\nAnswer: 0.01471882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - (9 + -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -16. Suppose z*d + 3*k - 162 - 505 = 0, -3*k = 2*d - 341. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x - 1\/4*x**4 + 0*x**2 - 1\/3*x**3 + 2. Let o(p) be the first derivative of m(p). Find the second derivative of o(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1428 and 97\/6288.\nAnswer: 748272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 - i - 2. Let k be o(-6). Suppose -17 = -k*t - 1. Suppose 0 = -5*b + t*n + 83, 2*b + 4*n - 22 = -0*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 27. Let r be l(5). What is the tens digit of (r + 0)\/((-3)\/87)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*n**3*q**3 + 38476*n**3*u**3 + 3*n**3 + 4*n**2*q**3*u**2 - 1398*n**2*q*u**3 - 7*q**2*u**3 wrt n?\nAnswer: 174*q**3 + 230856*u**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 + 4*a**2 - 35*a**2 to g + z*a + k*a**2 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3784 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*b + 4*b - 2*b)*(-b**3 - 3*b**3 + 2*b**3).\nAnswer: -4*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4376 + 359?\nAnswer: 4724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 66\/(-21)*(184 - 191)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2915 by -288.\nAnswer: -2915\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154 - 1?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let d = 1 + s. Let g = d + -5. Put -1, g, 5 in increasing order.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2534802, -2534801, -2534800, -2534799, -2534798?\nAnswer: -2534797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 126*u. Let n(c) = 2*c. What is k(n(o))?\nAnswer: 8*o**2 - 252*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f = -97*f - 1428. Let u be ((-140)\/f)\/(191\/(-192) - -1). Calculate the greatest common divisor of u and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((46 + 0)\/1)\/((-12)\/(-66))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1583872 divided by -64\nAnswer: -24748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -16*t + 9. Let u(q) = 4*q - 2. Let y(x) = -9*u(x) - 2*z(x). Let o(j) = 3523298 - 5*j**2 - 3523298. Give y(o(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276 - -296. Suppose -5*z + 3*k + 590 = 0, -2*k = z - 76 - 29. Suppose -z = -2*i + 43. What is the remainder when i is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:45 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 123 + 61)*(-5 + 3 + 3)*(-2 - 3 - 16)*(3*h - h - 4*h) + (-3 + 5 - 3)*(-3 - h + 3) - h + 4*h - h - 3*h + 3*h - 2*h + 2*h + 3 - 3 + 0*h + h + h.\nAnswer: -205*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let u = -3.5 - 0.5. Let f be (-6)\/(-24) + 2\/56*-3. Which is the third biggest value? (a) u (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 11*z**2 + 11*z - 12. Determine d(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5) + -4)**2 + 5.\nAnswer: -8*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15696 and 146496?\nAnswer: 439488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 11:46 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.757933 weeks in minutes?\nAnswer: 58039.96464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -773175 (base 12) to base 14.\nAnswer: -37390d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6514309658 + 205.6\nAnswer: 6514309863.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 11. Suppose -4*r = -4 + 20. Let m be r\/(-6) + (-15)\/63. Which is the smallest value? (a) -5 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*y - 47, 3735*i + y = 3733*i + 94. Solve i*n + 546 = -31*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -1, 1 in ascending order.\nAnswer: -9, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 4490*w + 2456634. Determine n(-493).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/5 - 83*o**4\/5 + 2211*o**3\/5 - 20497*o**2\/5 + 34688*o\/5 - 3264 = 0.\nAnswer: 1, 17, 24, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 120 + (-137)\/(8357\/2013)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*k - 115*k - 86*k)*(5*k - 5*k + k)*(1 + 2*k**2 - 1) to the form g + o*k**4 + h*k**3 + p*k**2 + s*k and give o.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 5, h: 4}. Give prob of picking 1 i and 1 h.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*m - d + 37, 3*d = -3*m + 33. Suppose 3*f - m*f = 5. Let s(j) = j**2 - 16*j - 22. Let p be s(17). Put -7, p, f in decreasing order.\nAnswer: f, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7710 divided by 30\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 402 (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 1 - 9. Suppose 2*x + 55 = 7*x. Calculate the smallest common multiple of x and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7468243 to four decimal places.\nAnswer: -0.7468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/30 and 11\/69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5243*m**2*q**2 + 3*m**2*q - 36*m*q**3 + 3*m*q - 326*m - 2 wrt q.\nAnswer: -10486*m**2 - 216*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50594535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let d(k) be the first derivative of -2*k**3\/3 - 6. Determine d(h(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4796 and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - f = -16, f - 42 = 3*n + 6. Let b be 1\/((-8)\/(-1080)*-9). Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(7\/3*9\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 8*r - 54. Suppose 0 = 4*d - 3*d. Let f = 5 + d. Solve 0 = f*n - r*n + 4*t + 12, -4*t - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*t**3 - 305*t**3 - 5*t**2 + 615*t**3 + 5*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -12*r + 14*r. Let k be ((-84)\/(-16) + -3)*r\/3. Let o = 3.74 - 4.04. Which is the nearest to o? (a) -3\/7 (b) k (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.165, 4.\nAnswer: 0.165, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 + 162. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.890255 - -0.89. What is x rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 858 + 857 - 2132*d + 851 - 2566 to the form w*d + t and give w.\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - 545\/(-70))\/(3\/(-4)). What is the nearest to v in -1\/2, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/6 - a**4 + 4*a**3\/3 + 4*a**2. Factor p(u).\nAnswer: 2*(u - 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -6\/13 (c) 0.09 (d) 4 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s - 17. Suppose 0 = 2*j - s - 20. Let k = 95 - 75. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -15*q + 12*q - 29, 2*q = -3*d - 28 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-2*sqrt(72)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6a94 (base 11) to base 9\nAnswer: 13672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5.\nAnswer: -3*v**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -52, 2\/19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16645 or 16652?\nAnswer: 16652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let s(f) be the second derivative of 5\/6*f**4 - 5*f + 0*f**2 + 0*f**3 + 0. What is s(z(h))?\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 11*g - 6. List the prime factors of c(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10593 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: Let d(a) = 58*a - 67. Let t be d(1). Let v(c) = 11*c - 2. Let p(m) = 43*m - 9. Give t*v(k) + 2*p(k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 + 7 = 0, -l + 12 = -v. Let c = l - 14. Find the third derivative of 17*h**2 + 10*h**4 - 43*h**4 - c*h**2 wrt h.\nAnswer: -792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 601?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -373000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13740 divided by -2?\nAnswer: -6870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 4*t + 0*t**2 - 2*t**2 - 3 - 2*t**2. Let p be 2\/1 - ((0 - -8) + -4). What is the remainder when a(p) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303908*t - 55 + 55.\nAnswer: 303908*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 15812699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, h: 4, s: 4}. Give prob of picking 1 h, 1 v, and 2 s.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 28 (b) 30 (c) -0.7 (d) 0.2 (e) -0.4 (f) 0.08 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358432*b**2 + 358429*b**2 - 1075294*b**2 + 25 + 358432*b**2.\nAnswer: -b**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - 3*y. Let o be s(-3). Suppose 27*f - 28*f + 4 = o. Suppose 0*d = f*d - 300. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 814332.5 - 528444. Let c = v + -285885.299942. Let m = 3.2 - c. Round m to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*k + 89*k - 60*k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 g when three letters picked without replacement from {h: 3, m: 8, b: 4, g: 4}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:26 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15407 (base 12) to base 13.\nAnswer: 10837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162712 is divided by 58.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45510 + -317914\/7. Which is smaller: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p + 12*p - 54*p + 23*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33149677?\nAnswer: 11, 17, 269, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6180.902 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. Let o = 0 + 3. Suppose y = 20 + o. Let q(v) = -y*v + 2 - 2 + 9*v. Calculate q(b(h)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -33. Let r(a) = -163*a + 21. Let n(t) = -93*t + 11. Let o(l) = -7*n(l) + 4*r(l). Give o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -82. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 1034430977771\nAnswer: -1034430977770.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -189, 3, 6\/7, 1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*y + 106*y - 3*y**2 - 59*y - 2)*(160*y + 62*y - 31*y).\nAnswer: -573*y**3 - 2101*y**2 - 382*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0)\/((-22)\/(-55) + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 550256 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 10. Let l be t(-14). Solve l = -2*k + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1\/2*n**5 + 0 + 5\/2*n**2 - 1\/6*n**6 - 2*n + 0*n**4 - 5\/3*n**3. Let x(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 + 34555*n - 24444000 = 0.\nAnswer: 800, 6111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/180)\/(2\/6))\/((618\/16)\/(-3))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 + (306\/204)\/(6\/(-8)). Solve -3*v + p = -3*j + 18, 0 = -4*j - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -42141024333?\nAnswer: -42141024324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999427.8 rounded to the nearest 10000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39739.\nAnswer: 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44361421 (base 8) to base 14.\nAnswer: -13ac3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Solve 4*c = -19 + q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210961231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - u - 1. Let m be n(-1). Let w = 2 - 2. Which is the closest to 2? (a) m (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 307453894 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11631383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*q**4 - 5*q**3 + 207464*q**2 + 1859359*q - 72.\nAnswer: -552*q**2 - 30*q + 414928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 4. Let u be h(-2). Suppose -k + 2 + 2 = -m, u*k - 38 = -4*m. Suppose -54 = -12*g + k*g. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51734098 to the nearest integer?\nAnswer: 7193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(2 - 0))\/((-3352)\/(-2095)))\/((-2)\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 4*g + 7. Let k = -40 - -44. Let x be j(k). Suppose -8 = -5*i + x. Solve 4*v - i*h + 20 = 0, 2*v - 7*v - 4*h = 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -282 - -535. Suppose b*a = 249*a + 2896. Suppose -a = -11*s - 295. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + m + 8*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 247876200 divided by 289575?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35827709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14 - q**2 + 0*q**2 + 3 + 11*q. Calculate the remainder when 24 is divided by b(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6\/5 (b) 1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 + (-126)\/(-24). Suppose 4*r - 26 - c = 0. Suppose r*d - 6*d = 124. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -1452, -4814, -11372, -22194, -38348, -60902?\nAnswer: -90924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0495756191 plus -2930?\nAnswer: -2930.0495756191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-10))\/(665\/228)*14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 835678 - -5?\nAnswer: 835683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29 + 1419)*2 - (-2 - -3)*-4 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(16\/36*-15)*(-268)\/201.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15808, -31786, -47778, -63790, -79828?\n\"Answer: -t**3 - t**2 - 15968*t + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*(-129 + 114). Let w(m) = -2*m**2 - 15*m + 48. Give w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2. Let j(w) be the first derivative of w**4\/6 + 4*w + 4. Let a(x) be the first derivative of j(x). Calculate a(r(l)).\nAnswer: 200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n + 2*n + (24*n + 23*n - 2*n)*(-1 - 3 + 2) - 472*n + 879*n - 493*n.\nAnswer: -175*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1570*b**3 + 3*b**2 + 277*b wrt b.\nAnswer: -9420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 2:13 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/41556 and -89\/62334.\nAnswer: 124668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1745135 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 11*a**3\/4 - 71*a**2 - 13*a = 0.\nAnswer: -2\/11, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.011 + 0.166. Round g to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*a + 539 - 2*a**2 + 2*a**2 + 534 - 301*a**3 - 1074 wrt a.\nAnswer: -1806*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = -5*o + 108, 3*o - 58 = -4*h. Suppose -d + 18 = o. What are the prime factors of -3*10\/15*334\/d?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 13048.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 10*b. Let r be g(-10). Suppose r*z = 2*c + z - 5, 3*z = -3. Suppose -c*y = 15, -4*j - y + 52 = 3*y. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. What is the units digit of 1*(1 + 2)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + z**3 - z**3 + (4*z**3 + z**3 - 3*z**3)*(0*z**2 - 3*z**2 + z**2) + 10*z**5 + 0*z**5 - 2*z**5.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/60 + 18*h**2. Let l(b) = -14 + 16*b + 23 - 9. Calculate l(f(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 14) in base 6?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 406194\/7 or 58028?\nAnswer: 58028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13)*3 - ((sqrt(39)\/sqrt(3))**2 + sqrt(13))*-6) + -1*3*(sqrt(13) + -2 + sqrt(13) + sqrt(13) + 4).\nAnswer: 9*sqrt(13) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 - -175. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64 - (12\/14)\/(1\/(-7)). Suppose w + q = 218. Suppose -50 = 2*j - 4*j. Calculate the remainder when w is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 1, x: 3}. What is prob of picking 2 x and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 344, 690, 1034, 1376, 1716, 2054, 2390?\n\"Answer: -h**2 + 349*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 - a**4\/4 + a**3 + 2*a**2 - 3*a. Let q(x) = -x**2 - 14*x - 55. Let r be q(-7). Calculate b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/5 - 8*r**3\/5 - 6*r**2 - 32*r\/5 - 11\/5.\nAnswer: (r - 11)*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 679, 1019, 1357?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -67, -82, -101, -124?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 3:17 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 37892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68589 = -22*c + 46185. What is the greatest common factor of c and 564?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*h**2 + 365*h**2 - 824*h**2.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9063 + 36059 + 3*w - 4*w.\nAnswer: -w + 45122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/14634 and 31\/68292.\nAnswer: 204876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 13*n + 3344 = 0. Put 0, n, -5 in descending order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -39. Suppose i = -0*i + p. Let c be ((-4)\/5)\/(4\/(-10)). Solve 0 = 5*n - i + c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8\/(-90))\/((-38)\/95)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 = p + 2*s, 5*p - 5*s = 2202 + 2578. Suppose p = 13*b + 15*b. Which is smaller: b or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 19. Factor 4*t**4 - 3*t**4 - k*t**2 - 9 + 10.\nAnswer: (t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c*c*c**(-1\/2)))**6)**(-2\/11))**(-2\/17))**47 assuming c is positive.\nAnswer: c**(-1692\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5068 is divided by 230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.12, -5, -0.3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -l - 419, -2*u + 2*l + 558 = 2*u. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49868160 divided by -259730\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9653.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2. Let x(a) be the third derivative of a**8\/20160 + a**5\/10 + 3*a**2. Let y(v) be the third derivative of x(v). Calculate g(y(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (111\/4)\/(-1) + (-83)\/332. Let r be 30\/(-18) - 3\/(18\/c). Let k = 0 + 0. Sort -3, r, -2, k.\nAnswer: -3, -2, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/((-59472)\/354)*1*7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8 - (1 + 4)) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 112 - 103. Sort 1, 11, s in increasing order.\nAnswer: 1, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -796 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 7. Let i be d(-5). Suppose 2*r - 40 = -i*r. Let u be (-3 - r\/(-3))*-39. Solve u = -4*q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1437\/6394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 66*l**2 - 64*l + 204. Let q be x(-67). Solve -3 = -3*y + s, 2*y - q*s + s - 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - 14*v)*(1 + 3*v + 96*v + 3*v)*(3 + 3 - 5)*(-2 - 2*v + 2)*(-3*v + 2*v + 3*v).\nAnswer: 4488*v**4 + 44*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1990*t**3*w**3 + t**2 - 109*t*w**3 + w**3 - w**2 wrt t.\nAnswer: -11940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + r)*(1 - 3 + 1) - 151 - 11*r + 0*r + 13*r to z*r + u and give u.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/(i*(i*i**(2\/7))\/i))))**50*((i\/i**(-1))\/i)**(-1\/11) assuming i is positive.\nAnswer: i**(2743\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 428 - 419. Suppose -11 = -4*f - 5*q, -15 = 12*q - n*q. Solve f*p = 11*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -111. Let h(x) = x**2 - 9*x + 9. Let y be h(5). Put y, g, -5 in increasing order.\nAnswer: y, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + 1*sqrt(117) - sqrt(117))**2 + (sqrt(5200) - (sqrt(5200) + 0)**2))*6.\nAnswer: -360*sqrt(13) + 93150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 113? (a) 0.3 (b) 2\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 115 from 2.64.\nAnswer: -112.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2471 and 748713?\nAnswer: 748713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) -158050 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 31*o = 0. Let r be 3\/(0 - (-15)\/25). Suppose -r*g + o*g = 0. Which is the closest to -0.1? (a) g (b) 8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**7\/84 + h**6\/90 + h**5\/12 - h**4\/6 - 4*h**3\/3 - 2. Let j(a) be the third derivative of p(a). Factor j(s).\nAnswer: -2*(s - 1)*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1. Let k(y) = -y**2 + y - 4. Let p = 0 - 1. Let g = 2 + p. Suppose g = -q + 2*q. Determine q*k(s) + 6*l(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*m + m = 5042002, 5041994 = 2*q + 3*m. Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 504639 and 72.\nAnswer: 36334008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/124 and 65\/448?\nAnswer: 13888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 12. Suppose -9 = -3*a + c. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/14)\/(((-2880)\/(-63))\/16)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504 divided by -8?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjq. Give prob of sequence jqj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/2 + (-80)\/(-30) + (-187)\/51. Determine y, given that 33\/4*y - 9\/2 - 3*y**r - 3\/4*y**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025326159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/4 + x. Let u(v) = -6*v**2 - 22*v. Let j(h) = 16*h**2 + 77*h. Let w(f) = -4*j(f) - 14*u(f). Give w(o(t)).\nAnswer: 180*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 912\/7 - 3048802\/23401. Let s = -3349\/10029 + p. What is the closest to s in 0.5, 0, 3.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 3*z + 1. Let m be c(-2). Suppose y + 1 + m = 0. Let l(h) = 3*h + 5. Give l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 187691920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115031, -230051, -345061, -460067, -575075, -690091?\n\"Answer: -i**3 + 11*i**2 - 115046*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1*5*4*-2)\/((4*sqrt(77)*2 - sqrt(77))\/(1*sqrt(176))))**2.\nAnswer: 332800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -68\/11, -0.3, 1, -68?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 319*g - 1591. Let b be f(5). Solve 2*r - 3*t + 42 = 50, -b*t - 6 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + -4 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4423 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-259)\/35 + 7)\/(30\/450).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9106244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3 = z, -110335 = -2*z - 5*m - 110344 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (2 - -7) - (2 + -8) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233790*v + 233847*v = -1767 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*t + 379, 114*t + 129 = 115*t - 4*x. Solve -t + 143 = 6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/(1\/25). Suppose -5*n + 3*d + 0*d = 0, 2*n = 2*d - 4. Solve -3*r = -4*z + r + h, 12 = -n*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44805, -44807, -44809?\n\"Answer: -2*b - 44803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2292 (c) 1.4 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25622 + 85474 = -4417*y - 232398 - 283720 for y.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153 + 26?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from isrwcczzririwcz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1, -3, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*p + 3*c, 15*p - 4*c = 17*p + 2. Put 3, 13, -5, -4, p in increasing order.\nAnswer: -5, -4, p, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19597625?\nAnswer: 5, 156781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and (8\/(-10))\/(10\/150)*580\/(-8).\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63803?\nAnswer: 63803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m - 12. Let q(i) = i**3 + 4*i**2 - 2*i - 1. What is the remainder when 20 is divided by q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -8*l + 4*l. Let p = l - 8. Determine r so that p + 0*r + 2\/5*r**2 + 2\/5*r**4 - 4\/5*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -16*v**2 + 3*v + 173. Let p(y) = -7*y**2 + y + 80. What is -2*i(g) + 5*p(g)?\nAnswer: -3*g**2 - g + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -25 - ((-2 - -6) + -5 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 88. Suppose 0 = -h*b - 2*n - 3 - 10, -2*n - 10 = 4*b. Let t(v) = 12*v**2 - 3*v - 18. What are the prime factors of t(b)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - s + 1. Let m(d) = 630*d**2 - 567*d + 567. Give -2*m(a) + 1134*p(a).\nAnswer: -126*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -54, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, v: 1, g: 3, q: 6}. What is prob of sequence qx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, -1974\/5, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 3*b**2 + 4*b - 2. Let i(m) = -2*m**3 - 3*m**2 - 5*m + 3. What is -3*a(q) - 2*i(q)?\nAnswer: -2*q**3 - 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4226*b - 15*p - 257 = 4242*b, -17 = b + p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2032458066.\nAnswer: 2, 3, 23, 4909319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2069 (base 10) in base 5?\nAnswer: -31234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-p - 1 + 1)*(-3 + 3 - 2*p) - p**2 + 0 + 0 - 20*p - 23*p**2 + 20*p)*(p - p - p**2) to l*p**3 + i*p + g*p**2 + u*p**4 + z and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.4428 kilometers to centimeters.\nAnswer: 40844280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118778954602425 minus -10?\nAnswer: -118778954602415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11477052 and 20\/10520631.\nAnswer: 126247572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -419991*t**3 - 2*t**2 + 1. Let j be n(-1). Suppose -j = -2*r - 2*i, -5*r - 297623 = -i - 1347628. Round r to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 669*h - 799 wrt h?\nAnswer: 669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(88) + sqrt(88) + -5*-1*sqrt(88))\/(sqrt(12)\/sqrt(486) + sqrt(2) + 4*sqrt(72)).\nAnswer: 144*sqrt(11)\/113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17254850 is divided by 635.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28395321 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -373*x**3 - x**2 - 7*x + 364*x**3 + x**2 + 5. Let i(u) = 8*u**3 + 6*u - 4. Let f = -16 + 9. Give f*i(k) - 6*a(k).\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-265))\/((-72)\/48)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*s**6 - 188*s**2 + 2*s wrt s.\nAnswer: -12840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -31*z + 604. Calculate y(11).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2425, 8 in decreasing order.\nAnswer: 2425, 8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 4 + 5 - 6 + 43*m in the form a + j*m and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -745 (b) 6.23 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvsvgqldvsq. Give prob of sequence lg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*s - 21*s - 29*s - 84*s to j + g*s and give g.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let y = 20 + -16. Sort r, y, -3\/5 in decreasing order.\nAnswer: y, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 9*d + 4. Let c(j) = -4*j**2 + 6*j. Let f(n) = -7*n**2 + 7*n + 1. Let w(i) = -3*c(i) + 2*f(i). Give 2*l(k) - 5*w(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let w = -3.04 + t. Let h = -2.96 + w. What is the biggest value in h, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:32 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -81924?\nAnswer: 81924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 16*x - 1. Let p(t) = t**3 - 696*t**2 - 2772*t - 2866. Let y(k) = -6*d(k) - p(k). Determine r, given that y(r) = 0.\nAnswer: -2, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110214 divided by -4082?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2 - 5909440 + 3*f + 5909762 - 1096*f**3 + 5*f**2 wrt f?\nAnswer: -6576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 824, 1305, 1786, 2267?\nAnswer: 2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/((-269952)\/(-74)))\/(2\/(-16))\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6021*l - 1139. Is f(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*t - 10 = 0, 19*a - 23*a = -4*t + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.790811mg in kilograms?\nAnswer: 0.000007790811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172067.\nAnswer: 7, 47, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14\/767 + 92639\/9204. What is the common denominator of c and -12\/283?\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 8.01. Let c = -5 - w. Let r = c + -2.9. What is the closest to 0.1 in -2, r, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(x + x + 0*x) - 36 - 338 + 8884*x - 8889*x as b*x + p and give p.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 68079046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, n: 1}. What is prob of picking 1 n and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13. Solve -2*i = -s*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10795031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 1546?\nAnswer: 23\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3947 + 3928. Which is bigger: g or -160?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1628868 divided by 447\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71493, -71555, -71749, -72141, -72797, -73783, -75165, -77009?\n\"Answer: -11*c**3 + 15*c - 71497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:07 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 5. Let n be y(0). Suppose 0 = -36*x + 41*x - 10. Solve g - x = -n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59590*a**3*k*l*u + 43*a**3*l*u**2 - 22*a**3*l + 4*a**2*k*l*u + k*l*u + k*l - 5555*k*u**2 + 26*u**2 wrt u.\nAnswer: 86*a**3*l - 11110*k + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznhzihzzcnz. Give prob of picking 2 h and 2 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, d: 2, v: 2, g: 2}. Give prob of sequence ddk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 15, 93 - 72 = -2*w - 3*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.748 + 0.498. Let i = -109.75 - m. Round i to the nearest integer.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1687228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99040 is divided by 3054.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r = -34908 - 28164. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 122*i. Let u(c) = -2*c**3 - c**2 - 1. Calculate -2*t(f) - 2*u(f).\nAnswer: 4*f**3 - 244*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -57008.97?\nAnswer: 22803.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-385)\/220)\/(21\/(-9)))\/(246\/16)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:10 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1828 - -0.0462. What is f rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-162)\/(-36)*(-4)\/6. Let n(s) = -538*s**3 - 3*s**2 + 5*s + 5. Is n(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-2*h - 3*h + 7*h) + h - h - h + (2*h - 2*h + h)*(-6 + 0 + 4)*(-28 - 14 + 21) + 4*h + 0*h - 3*h as g*h + c and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 = -4*k + 80. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*a - 99*a - 108*a + 505*a + 19*a - 100*a + 37 - 107*a.\nAnswer: -2*a + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 15*b**2 + 765*b**3 + 1135*b**3 - 8*b**2.\nAnswer: 1900*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*n = -3*l + 16, -2*n = -4*l + 14. Solve -3*h = -l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29894 by 1.\nAnswer: -29894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285174, 570354, 855534, 1140714, 1425894?\nAnswer: 1711074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13150*n. Let g(p) = 4*p. Calculate g(y(t)).\nAnswer: -52600*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 7*y**2 + 9*y + 3. What is r(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*4)**2 + (sqrt(153) - -5*sqrt(153)*-1) - (-5 + (sqrt(425) + 2 + 0)**2).\nAnswer: -32*sqrt(17) + 9368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/((h\/(h\/(h*h*h\/h**(-7\/4)*h)))\/h))*h)\/h**18)\/(h**(-15\/2))**(8\/13))**(1\/63) assuming h is positive.\nAnswer: h**(-449\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -4\/3*j**3 + 0*j + 10*j**2 - 176. Determine k, given that u(k) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1641*t**5 + t**2 + t + 72 wrt t?\nAnswer: -98460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/230 and 38\/69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*z + 14, 0 = 2*y + 2*z + 3 - 7. Let c(g) = -g - 6. Let b be c(-10). Let q be 3\/((-1)\/b - -1). Solve q = -0*w + y*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*k + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*s - 13*s + 224 + 752 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445276 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: What is 24073770 divided by -67?\nAnswer: -359310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28735792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - 242. Calculate the highest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/3 + 11*j**3 + 121*j**2\/3 - 1139*j - 20930\/3 = 0?\nAnswer: -23, -13, -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3.708499 weeks?\nAnswer: 25.959493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2\/7 + 54*w\/7 + 33 = 0.\nAnswer: -11, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 20*x + 26 = 18*x - 40*x, 0 = -d + 7*x + 45 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 2954\nAnswer: -2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 56 + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8)*2*-5) + (sqrt(170)\/(sqrt(10)*-2) + 2)**2.\nAnswer: -21*sqrt(17)\/10 + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - 348*r + 50. Let a be j(0). Calculate the greatest common factor of 825 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - f**2 + f - 1. Let w be a(1). Suppose 2*q - 19 = 3*u, -3*q - 2*u - w = q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5173?\nAnswer: 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 169*c**6\/120 - c**4\/24 + 2*c**3\/3 + 48*c**2 - 1. What is the second derivative of s(r) wrt r?\nAnswer: 1014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 1790, 2723, 3624, 4481, 5282?\nAnswer: 6015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - 0 - (-1 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 5685?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54\/13 or -1\/4?\nAnswer: 54\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.9 + 1.1. Let f be (1\/4)\/((-3)\/(-48)). Let n be 3*(-22)\/18 + f. Is q bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.94 - -1.17. Let i = -0.13 + r. Put 0, i, -0.4 in descending order.\nAnswer: i, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11189*576.\nAnswer: 6444864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:35 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -540 + 539.9771. Round g to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/777 and 7816\/(-21090) - (1 + 1 + 3672\/(-1530)).\nAnswer: 14763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3 + 5*b + 9 + 5*b + b**2 + 2. Let k be y(-10). Solve k*m - 5*m - 2 = w, -w = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (78 - (41 + 16))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*a - 18*a**2 - 20*a**3 + 22*a**3 - 54*a to the form p + z*a**2 + b*a**3 + v*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5512403 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1121111122002?\nAnswer: 1121111122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*w - 71112 = -1351*w - 41740 + 89662 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -4*z**3\/21 - 8*z**2 - 112*z - 63. Factor m(r).\nAnswer: -4*(r + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/29)*z\/(z\/(z\/(z\/z**7)))*z*(z*z\/((z\/(z**(-1\/5)*z))\/z))\/(z**(-2\/23)\/z*z) assuming z is positive.\nAnswer: z**(36078\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 3, f: 1}. Give prob of sequence zf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 6:02 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 145*d**2\/2 + 89. Let s(g) = 1. Let p(f) = -f + 3. Let m(n) = p(n) - 3*s(n). Calculate m(c(t)).\nAnswer: -145*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (24 - -29 - 29).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 - 12*g**2 - 3*g - 9. Let o be x(-4). Let w(b) = -b - 5. Let q be w(-5). Solve 5*h - 7 - o = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4027067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6473 = -2*f, -4*f + 15*h = 13*h - 12966. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5171100 to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321001 - 2?\nAnswer: 320333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:52 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 36. Suppose c + 31 = -3*w, l = -3*w - 3*c - c. Let q = -18 - w. Is q smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*s**4 - 4*g*s**2 + 49*s**6 - s**5 - 7 wrt s.\nAnswer: -24*g*s + 5880*s**3 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605691402.\nAnswer: 2, 3, 17, 349303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Let l(i) be the first derivative of -23*i**2\/2 + 7. Let o(w) = 22*f(w) + 2*l(w). Let h(y) = -5*y**2. What is h(o(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(58\/(-174)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*t + 43 = 0, -5*v + 182 = 2*t + 171 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*b = 11158 - 1638 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.7 + -0.7. Let q be 2\/(-2) + 1920\/1152. Which is the closest to 0.1? (a) -0.3 (b) 3 (c) q (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 90 + 17)*(-4*n - 7*n - 5*n + n + n + n + (2*n - 3 + 3)*(2 - 2 + 2)) as q + y*n and give y.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose 0*w - 2*w = -o. What is the second derivative of 0*s**3 + w*s**4 + 2*s**4 + 0*s**3 + 4*s wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113945 greater than or equal to 4215978\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -262 times -0.5\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i - 5. Let y(w) = -22*w - 16. Let p = 113 + -97. Let l be (6\/(-2) - -6) + 11. Let a be ((-35)\/l)\/((-2)\/(-4)). What is a*y(v) + p*x(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/13*(-11128)\/(-6848)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 402*f - 2528. Give y(-6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -16\/11 in descending order.\nAnswer: -0.1, -16\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 666362?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3542*v**2 + 176*v + 176. Let t(z) = 60*z**2 - 3*z - 3. Let p(r) = 176*t(r) + 3*x(r). Let d(a) = -3*a**2. What is d(p(j))?\nAnswer: -13068*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -3. Let l = -3 + f. Let s(p) = 3 - 3*p + 3*p**2 + 0*p**2 - 2*p**l. What is s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(304) + 1 + sqrt(304))*1 - 6*(sqrt(304) - sqrt(304)*-1 - sqrt(304))*1)*-1)**2*-3*-1.\nAnswer: 5376*sqrt(19) + 715200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-6)\/(-5)*80\/(-24). Let p be (-1)\/(9\/30 + 4\/y). Suppose 2*q - 336 = 4*s, -p*q - 38 = -s - 842. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose -3*k - 2*k = n + 100, l = k + 4*n + 20. List the prime factors of (26\/8)\/((-5)\/k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166.15 + -166. Let f = 0.1 - 1.1. Are i and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139959936 a multiple of 5603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215.02 * -0.3133.\nAnswer: 67.365766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1759 in -116, 8\/7, -2?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(-1 + 1). Solve v = 7*f - 3*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1848158, -1848167, -1848176, -1848185, -1848194, -1848203?\n\"Answer: -9*b - 1848149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21.71411+-115\nAnswer: -93.28589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(500)\/(sqrt(10)*1) + sqrt(50) - sqrt(50))*1)\/(sqrt(30)\/sqrt(12) - -1*sqrt(90)).\nAnswer: 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*g**2 - 580*g - 42.\nAnswer: -2*(g + 7)*(41*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (0 + (-2 - 3)). Suppose 0 = 4*f - 2*c - 8, a*f + 5*c - 19 = 9. Suppose 0 = 5*s - 0*m - 2*m - 230, 5*s - 220 = f*m. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556255 by 7.\nAnswer: 79465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 2, d: 5}. What is prob of picking 2 f and 1 c?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, 117, 0.2, -4 in ascending order.\nAnswer: -4, -3, -4\/5, 0.2, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + d - 1. Let z be o(1). Let w be (-1)\/((-2)\/(-20)*z). Suppose 5*j = 15, -q + 50 = -0*j + w*j. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4 - 0) + 48386\/52 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -20*r - 101. Let c(v) = -7*v - 34. Let x(u) = 8*c(u) - 3*d(u). What is the remainder when x(8) is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.467 * 4\nAnswer: -1.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + f - 1 = -3, -12 = 4*f. Let r be (0*(-3)\/(-6))\/m. Suppose r*c = -4*c + 16. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -0.3, -1.701?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (8 + -5 - 5). Solve 4*y - 3*c = 25, -5*c - v + 0 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*c + 7*c. Let o = -16 + c. Suppose g - 37 = o. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14164 - 11030. Calculate the remainder when f is divided by 121.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -12, -4*q - 6 = r - 4*r. Is (r\/(-5))\/((-16)\/(-2400)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.26*6.87\nAnswer: -97.9662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740 = 2459378*t - 2459193*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1000735 <= 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 44. Let n be y(9). Let r = n + 67. Calculate the greatest common factor of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105a (base 12) in base 7?\nAnswer: 1151266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/18 and 37\/11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 4.\nAnswer: -9, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - -33 - (2 + -7 + -2) - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {a: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-8))**(27\/5) assuming j is positive.\nAnswer: j**(243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Let d(k) = x*k**3 + 25 + 8*k**2 - k**3 + 21*k - 20*k**2. Is d(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359*h**3 + 5*h**2 - 4550*h + 74357367 wrt h?\nAnswer: 1077*h**2 + 10*h - 4550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1603664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/70)\/(4\/(-10)). Solve n + 1 = -2*w - 0*w, k*w = -2*n + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**6\/630 + c**5\/70 - c**4\/21 + 19*c**3\/6 + 2*c**2. Let d(b) be the first derivative of q(b). Solve d(n) = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m = 7*m - 5888. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99002 divided by -6?\nAnswer: -49501\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 251, -4 in ascending order.\nAnswer: -4, -1, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 3*z**3 - 294*z - 8*z**3 + 294*z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86797.6331 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 40*l + 10. Let x be p(0). Let c = 10 - x. Solve 0 = m + r + 8 - 2, c = 2*r + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, g: 2, w: 6}. What is prob of picking 2 g and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-4)\/(-1)))\/(31\/(-62))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1323\/4294?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o. Suppose z = -0*z. Let k be r(z). Suppose k = -2*x + 2. What is the closest to -0.1 in x, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {d: 5, a: 3, v: 2, f: 1, w: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15270 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 672 to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -972 - -1135. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/7 + 1649*b**3 - 825912*b**2\/7.\nAnswer: -b**2*(b - 11471)*(b - 72)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**2 + j**4 + (-3*j**3 + 3*j**3 - 2*j**3)*(-2 + 2 - 9*j) - 3*j**4 + j**4 + 4*j**4.\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Let h(k) = -61*k + 4. Let d(a) = -26*a + 1. Let p(x) = 7*d(x) - 3*h(x). Let q(c) = 2*c - 6. Calculate l*q(z) - 5*p(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/3*-1)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 155 = 12*u. What is the units digit of u*(-161)\/(12 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991643674 to the power of 1\/2, to the nearest integer?\nAnswer: 83616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**5\/2 - 25*z**4\/2 + 329*z**3\/10 - 31*z**2\/2 - 26*z\/5 + 14\/5 = 0?\nAnswer: -7, -2\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from eedmffsffsflsfs?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 26 = -l - l, 56 = -6*n + 5*l for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 1671*x**4\/4 - 2*x**3\/3 + x + 793. What is the third derivative of k(d) wrt d?\nAnswer: 10026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3438441 times -0.1?\nAnswer: 0.13438441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 19 = -i, 5*m + 6 = -3*i + 33. Suppose i*h = 9*h - 20. Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/9141 and -1\/363.\nAnswer: 100551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 605\/66*6696\/2790\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1066361, -2132722, -3199083?\nAnswer: -4265444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*m - 25 = 1, -3*m = 4*p + 36. Let f(o) = -o**2 + 2*o + 3. Let v be f(-3). Let b = p - v. Solve -j = -g + 1, 4*g - 5*j - b + 5 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 4, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 50 + n + 5*n + 78 to the form u + f*n and give u.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 25 + (-27 - -5) + (-1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 5*x - 2. Suppose 131 = 16*u + 3. What is the remainder when h(5) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2577 plus 0.6351?\nAnswer: -2576.3649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-183)\/(-366) + 98*(-1)\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**7\/840 + m**6\/240 - 7*m**5\/240 - 5*m**4\/24 - m**3\/2 - 273*m**2. Factor i(s).\nAnswer: (s - 3)*(s + 1)*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13573460 by 3393365.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11335, -49, -70, 3?\nAnswer: -2\/11335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 3*h + 8. Let n be d(9). Let u(c) = -4*c**2 - 6*c - 14. Let o be u(4). Let w = n - o. Solve 0 = w*p - f - 5, -3*p + 8*p = 5*f + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - m = -2*m + 6, 2*j - 3*m = 6. Suppose 2*l = j*l. Solve -4*y + 8*y + 12 = l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 166*l**2 + 5367*l - 118. Determine m(-122).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -44.\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -4420703.\nAnswer: 30\/4420703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/(-924) - 63\/294 - -3. Factor 5*x - s + 2\/3*x**2.\nAnswer: (x + 8)*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:21 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpnd when four letters picked without replacement from {d: 3, c: 2, p: 2, n: 2, o: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844293.\nAnswer: 3, 281431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 865 = -5*t, 4*w - 519 = w - t. Let r = w - 151. Calculate the remainder when 107 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 3*s + 12 = g*q - 8, q + 2*s = 10. What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 1. Let y = 13 - 9. Let u(w) = 1 + 2 - y + 0. Let q(x) = -l(x) - u(x). What is q(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by -6?\nAnswer: -307\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-624)\/(-3*(-30)\/(-36)). Let d = 250 - s. Let z be -1 + -1 + 24\/10. Are d and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(138450\/715) + 2\/12 - (-158)\/15.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:02 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5203744 divided by 112?\nAnswer: -46462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, k: 1, l: 1, p: 5}. Give prob of picking 1 k, 1 v, and 2 b.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -47. Let n = 4587.57 - 4629. Let m = j + n. What is m rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106121364 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761095858.\nAnswer: 2, 18979, 20051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 5. Let k be c(7). Suppose 5*n + 12 = -k*p, -4*n - 2*p = -5*p + 5. Let v = n + 67. Calculate the greatest common factor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61311, -73832, -86353, -98874, -111395?\n\"Answer: -12521*b - 48790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034107 rounded to four decimal places?\nAnswer: -0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = 13*v - 10*v - 113190. What is the remainder when v is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -55*f**2 - 29*f. Let d(s) = -12*s + 5*s - 56*s**2 - 20*s. Let c(b) = -2*d(b) + 3*o(b). Find the second derivative of c(k) wrt k.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/4))**(-16\/3)*m**(-7)\/m**(5\/2) assuming m is positive.\nAnswer: m**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**5\/60 + 5*u**4\/8 + 64*u**3\/3 + 17*u**2 - 2. List the prime factors of v(18).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*f*z**4 + 73242*f*z + 11208337*f wrt z?\nAnswer: -100*f*z**3 + 73242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490680.\nAnswer: 2, 3, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 20966520*p - 164848110341400.\nAnswer: -2*(p + 15724890)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4767361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 974108.3 kilometers?\nAnswer: 974108300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 242\/6)*-3. Let j(y) = -y - 1. Let v be j(1). Let g be (11\/v)\/(2\/(-4)). Calculate the highest common factor of g and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 3 + 7*r**2 + r**2 - r**2 - 2. Let t(n) = 4*n**2 + 2*n - 2. Let g(m) = -3*k(m) + 5*t(m). Give g(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -46*3\/126. Let g = 15 - 11. Which is the smallest value? (a) 3\/5 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/2)*m))\/m)**(-2\/33)*(m\/m**(-1))**(-38) assuming m is positive.\nAnswer: m**(-835\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -6*m**3 - 6322*m**2\/9 - 52*m = 0.\nAnswer: -117, -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 78, 114, 148, 180?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 118*i = 117*i - 4032, 0 = -2*x + 3*i + 4032. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -827034785 to the nearest 100000.\nAnswer: -827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -529640 divided by -41?\nAnswer: 529640\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -11*c**3\/6 - 2081*c. Let t be 148\/(-6) + 2\/(-6). Let f(z) = -45*z. Calculate t*x(y) + 6*f(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 36. Suppose 0 = -20*h - 47*h - 2*h. Which is bigger: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 293075 = y + 293225, h - 45 = -5*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/14 - -12*(-5)\/(-70). Let i be (-20)\/(3 + 1) - y. Let g(n) = n**2 - 2*n - 43. Let d be g(i). Solve 0 = d*c + 16 - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -137\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/21, 1\/19, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.23 + -18.23. What is the closest to 2 in 2\/5, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 1. Let k(x) = -x**4 + x**3 + 6*x**2 - 5*x + 5. Suppose 0 = 1146*t - 1144*t + 4. Let j(z) = t*k(z) + 6*s(z). Determine u, given that j(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*f - 44*f = 441 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:45 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 901\/3129 - 1\/447. Let q = 970 - 978. Which is the closest to 0.3? (a) q (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-6 + 2)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.11. Let u = m - 0.18. Let x = u + 0.103. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820544 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -27, -25, -9, 27?\n\"Answer: b**3 - 2*b**2 - 7*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35058*g**3 - 4318354*g**2.\nAnswer: 210348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*i + 26, 2*i = 7*i - 25. Find the third derivative of -7*s**5 + 68*s**q - s**5 - 72*s**2 wrt s.\nAnswer: -480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3319, 4, -2\/11, 57, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23915743 is divided by 11957857?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 9, r: 1, n: 1, l: 3, g: 1}. What is prob of picking 2 t?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61728181 to the power of 1\/2, to the nearest integer?\nAnswer: 7857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + d - 2*d = -19, 0 = -3*a - 5*d - 13. Let y(v) = -14*v + 17. Is 9 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10943753*q**2 + 4220*q + 261?\nAnswer: 21887506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7756.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {o: 9, g: 2, c: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-131)\/(11135\/34) + 3\/(60\/(-107))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afaofaxoako. What is prob of picking 2 f and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3*6)\/1. Solve -4*k - 16 = -o*u, 3*k + 0*k = 5*u - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -867 - -867. Suppose 7*q - 935 = 2*q. Suppose 2*m - q - 1079 = z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u + 771 = 0. Let m = u - 149. Calculate the remainder when m is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*-2 + 209. Let t(r) = -r**3 + 17*r**2 + 257*r - 88. Let i be t(-10). What is the highest common divisor of p and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*w + 126, 0 = 8*k - 3*w - 4268498 + 4268451 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y + 64*y - 147*y - 37 - 38 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h + 1, -3*w + 1231 = -h. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.355, -0.06, -5, 4?\nAnswer: 0.355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 618 + -617. Let n be 4\/14 - 22\/(-266). Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-4)\/((-304)\/(-6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 3*p. Suppose 1 = 3*c - p*c + 2*w, -4*c + w = -5. Solve -i - c = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -276, -309, -342, -375?\n\"Answer: -33*s - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1242 + 1227 + 324*l - 407*l - l**2 as n*l + z*l**2 + d and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160795003 to the power of 1\/2, to the nearest integer?\nAnswer: 12680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -10 - 7 - -22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4\/7))\/(z*z\/((((z\/z**(-3))\/z)\/z)\/z)))**37 assuming z is positive.\nAnswer: z**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1121 - -0.3121. What is the fourth smallest value in h, 18, -1\/8, -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180 - 6595 = 1722*k + 15249 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8610)\/(-2091) + 4\/(-34). Let m(x) be the first derivative of 1\/3*x**3 + 1\/4*x**i - x**2 + 0*x + 7. Factor m(r).\nAnswer: r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let q(x) = -6*x + 6. Let d(z) = 2*z + 2. Let k be d(-2). Let c be (1 + k)\/(-4 + 3). Suppose 3 = s + c. Calculate s*q(b) + 11*a(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/6*(-7 - -4). Suppose -f + 439 = -4*b, -v*f + 3*b - 2*b + 2100 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54908968 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -234606 (base 7) in base 13?\nAnswer: -16455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202013 is divided by 1202009.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - 16\/7. Let d be (-2)\/(-7) - k\/(-7). Suppose -4*m - 5 + 21 = d. Which is the closest to 0.2? (a) m (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 501566 and 212201.\nAnswer: 5517226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z + 1)*(-23*z - 102 - 141*z**2 + 107 + 24*z).\nAnswer: -141*z**3 + z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4729, -4732, -4735?\nAnswer: -4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**2 + 2\/3*j**3 + 1\/60*j**5 + 5\/24*j**4 + 0 + 0*j. What is the remainder when 28 is divided by a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -539157.\nAnswer: -107831.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-9))\/((3040\/10)\/8))\/((-3)\/12)\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 27*t + 17958.\nAnswer: -3*(t - 82)*(t + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219\/7 + 31. Suppose 0 = -2*y - 10*y - 576. Let q = y - -189\/4. Which is the nearest to p? (a) q (b) 1\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 71*b**2 + 62*b + 6. Let f(a) = -10*a**3 - 643*a**2 - 557*a - 57. Let v(h) = -4*f(h) - 38*m(h). Factor v(j).\nAnswer: 2*j*(j - 64)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9933 - 9935. Let l be -2 + (-14)\/(-18)*3. What is the third biggest value in -4, -7, p, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 117*d**4 + 246*d**3 - 6*d**2 - 243*d + 123.\nAnswer: -3*(d - 1)**3*(d + 1)*(d + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6 - (-6 + 11)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwdd when four letters picked without replacement from pdpnpdwnppndpn?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132159026 to the nearest integer?\nAnswer: 11496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/40*0\/(-2). Which is bigger: -1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, 17\/12, 0, 2\/3, 1\/4?\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5 = -2*n - 3*n, -n + 1 = 5*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 8. Let i be x(-6). Let y = -2 + i. Put y, -2, 3 in decreasing order.\nAnswer: 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47759017 is divided by 2208?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i + 12*i + 7*i**5 - 97*i - 128*i wrt i?\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -o + 5*z, 3*o - 2*z + 4 + 9 = 0. What is the units digit of (5 - o)\/(1 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 - 6*m + 1. What is z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 - -2) - (-1 + 4) - -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, -0.061, 1, 5, 10 in decreasing order.\nAnswer: 10, 5, 1, 1\/18, -0.061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*k**3*l**2 + 128*h*k**3*l**3 - 81*k**3*l + 3*k**2*l**3 wrt h?\nAnswer: 4*h*k**3*l**2 + 128*k**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 3*c**2 - 7*c**2)*(-1 + 2 - 2) - 26869*c**2 + 2 - 26863*c**2 + 36*c + 53736*c**2.\nAnswer: 6*c**2 + 36*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1769, 2005, 2337, 2765, 3289, 3909?\n\"Answer: 48*l**2 + 92*l + 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.07620256 * 0.4\nAnswer: -0.030481024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 100 + 2*o + 95.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 441514*q + 441514*q - 13*q**2 as a*q + z*q**2 + k and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**4 + 16*f**2 + 0*f + 0*f**3 + 0 + 13\/30*f**5 + 9\/20*f**6 + 1\/168*f**8 + 1\/7*f**7. Factor t(b).\nAnswer: 2*b**2*(b + 1)**2*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55314330 + 2?\nAnswer: -55314324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198 + 0 - 112\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -510513 + 145?\nAnswer: -510346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 955534999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4059408.\nAnswer: 2, 3, 23, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*s = 128*s + 5. Suppose 0 = -2*f + 5*i - 3, -s*i - 9 - 51 = 5*f. Let k(z) = z**3 + 10*z**2 - 19. What is the units digit of k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 1. Sort s, 1\/3, 1 in ascending order.\nAnswer: s, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:47 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5910 + 5877 = 3*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 100, 120?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457554 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2688082032 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1311 + 4.1311. Which is the fifth smallest value? (a) l (b) -2\/9 (c) -0.1 (d) -18 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(27) + -1 - (-3 + sqrt(9)\/sqrt(3))**2*-3.\nAnswer: -15*sqrt(3) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 4*s + 4. Let f(w) = -7*w**2 - 5*w + 9. Let u(d) = -d**2 + 1. Let l(y) = -f(y) + 4*u(y). Give 5*g(n) + 4*l(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3264 and 63291272.\nAnswer: 1518990528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, 21, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4 = -363*c + 359*c, -2*c - 2 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14\/31, 2 in decreasing order.\nAnswer: 2, 14\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25165.91 decades in years?\nAnswer: 251659.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(132) - sqrt(132)*2) + sqrt(132)) - 1*sqrt(132)*-1)\/(-4*sqrt(300)*-1).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h - 1. Let w(f) = -5*f**2 + 2*f + 1. What is w(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-56)\/20)*(-70)\/42. Which is smaller: v or -33\/7?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11385566*m**2*w**3 - 7732502*m**2*w + w**2 wrt w?\nAnswer: -68313396*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 421, 626, 831, 1036?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 308558600*i + 4760420481698000 = 0. Calculate i.\nAnswer: 30855860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/15 - 7654*u**3\/15 - 8*u**2\/5 + 91816*u\/15 + 122464\/15 = 0. What is u?\nAnswer: -2, 4, 3827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3088?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.2. Let l = v - 0.1. Let q = 0.1 + l. What is the closest to -2\/5 in q, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 7*y**2 - y + 8. Let j be r(-5). List the prime factors of (6\/(-2))\/((-6)\/j).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 2, z: 5, m: 3}. What is prob of picking 1 m and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - 222*u**2 - 2*u - 135. Calculate the remainder when 1878 is divided by t(-74).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2484 and 8263044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.71 + -7.71. Let u = 352 - 5278\/15. What is the second biggest value in h, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 1. Let k(a) = a**3 - 8*a**2 + 7*a + 3. Let r be k(7). Suppose -2*o + 2*s - 4 = 0, -3*s + 2*s = -r. Let f = 1 - o. Calculate x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1262934 - 4317066. Round l to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 4*v - 10. Let m be s(-4). Suppose -p = -2*w + 165, -m*w + w = 5*p - 450. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.5, -4\/3, -13, 0.1, -1936166?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -354*q**3 + 18*q**2 + 34*q + 3. What is the hundreds digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - -1.8. Let r = p + 0.7. Suppose 4 = 4*x + 12. Which is the closest to -1\/2? (a) 1\/4 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*k - 114*k + 40 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*m + 80, -2*p + 0*p = 5*m - 49. Let z(j) = j**3 - 16*j**2 - 17*j + 2. Determine z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 246 - 244. Solve 0 = n*c, h - 4*c = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128040, 128042, 128044?\n\"Answer: 2*a + 128038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 73. Let a be l(25). Let i(n) = a*n**2 - 382 - 384 + 763 - n**2 - 6*n. Give i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2937 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 15 = -23*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -24*b**3 + 59*b**2 - 7*b. Let o(g) = -12*g**3 + 30*g**2 - 3*g. Let s be (-4)\/6 - (-77)\/21. Let d(x) = s*l(x) - 5*o(x). Find u, given that d(u) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100002201 (base 3) to base 14.\nAnswer: -25bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 - 5*n**3 + 3*n**3)*(-3*n + n - 4*n).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 10*q + 11. Let a be o(-9). Let b be a + (4\/(-28) - (-3)\/21). Solve 4*p = x - 5, -b*x = p + 4*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4981 + -28259.657.\nAnswer: -33240.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -271, -241, -199, -145, -79, -1?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310322045 to the power of 1\/10, 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 135 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7298*p**3 - p**2 + p + 21447.\nAnswer: -21894*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -23, 0, -5, 26 in ascending order.\nAnswer: -23, -5, 0, 26, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = 2*s. Suppose -3 - 9 = -s*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/22 and 49\/114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5194, 73, 4 in decreasing order.\nAnswer: 5194, 73, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154750.\nAnswer: 2, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 7*j + 6. Find the third derivative of -3*i**2 + 26*i**j - 5*i**6 + 9*i**2 wrt i.\nAnswer: 2520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + 2\/56. Let h = 3028.4932 + -3028. Let s = h - 0.0932. Sort s, g, -6 in increasing order.\nAnswer: -6, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2 + 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*h + 20 = 0, 276*w - 11*h - 57 = 279*w + 67 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601598 is divided by 200121?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177752054.\nAnswer: 2, 79, 1125013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1792727, 1792729, 1792725, 1792709, 1792675, 1792617?\nAnswer: 1792529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60365362 (base 8) in base 10?\nAnswer: 12708594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 9. Let h be z(-7). Let l be 32\/14 - h\/(-7). Suppose l*s + 2*s + 3*x - 16 = 0, 0 = 5*s + x - 31. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 18*v + 34*v)*(-4*v**3 - v + 11*v**3 - 4*v**3).\nAnswer: 138*v**4 - 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 8. Let k = 4 - 1. Let t(x) = -2 + p + k*x. Let h(i) = -i. Give h(t(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 2, o: 2}. Give prob of sequence rro.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 109. What is the remainder when q(28) is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.6 and -31\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 49*d + 750, -4075*w = -4070*w + 2*d + 45 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - ((-9 - (1 - 1)) + (-1005 - -1010)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3007822 to 4 decimal places.\nAnswer: 0.3008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 360464441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:00 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**3 - 40*b**3 - 38*b**3 - 38*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85\/3 + -28. Let b = -2 + 1. Let o = 0 - 0.1. What is the nearest to b in y, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 37*i**2 + 17844 - i - 17831)*(-3*i + 3*i - 2*i) in the form c*i**2 + u + r*i**3 + q*i and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*x - 0*l - 335, -3*x + 2*l + 181 = 0. Suppose -4*b - x = -5*b - 5*v, -2*b + v = -148. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -18966.79\nAnswer: 189.6679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -375, -5, 11 in decreasing order.\nAnswer: 11, -2, -5, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from {i: 5, d: 8, y: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 45. Sort -3, s, -1 in decreasing order.\nAnswer: -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2527*h**2*p + 1627*h**2 + h*p + 44200*h - p + 2 wrt h?\nAnswer: -5054*p + 3254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1852 in 3\/8, -2, -3, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 5. Let r be p(0). Solve r = -2*d + 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 21\/(-2 - (-28)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 382, 378, 372, 364, 354?\n\"Answer: -r**2 - r + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/70 + 447*q**4\/14 - 199809*q**3\/7 + 53*q**2 + 11. Find b such that z(b) = 0.\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3))**31\/(m**7\/m**33) assuming m is positive.\nAnswer: m**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -102, -105, -84, -33, 54, 183, 360?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8. Suppose r = -0*h - 2*h. Solve h = -o + 2*g - 1, 5*o - 4*g - 13 = -3*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/9 + 724*z\/9 - 17248\/3 = 0 for z.\nAnswer: 98, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**4\/4 - 9625*d**3\/4 - 121515*d**2\/2 - 351000*d = 0.\nAnswer: -16, -9, 0, 1950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 338608?\nAnswer: 3\/338608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 25*i**4\/12 - 3*i**3\/2 + 2*i**2 + 99*i. Let a(l) = -38*l**2 + 14*l - 6. Give -5*a(g) - 8*t(g).\nAnswer: -10*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.7 + -47.4. Let k = 21.3 - j. What is the closest to 2 in k, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 17\/6 (c) -2\/11 (d) -1\/7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 3*p + 7. Let t be h(5). Let x = 17.0084 - 16.56. Let l = x + 0.0516. Put 4\/9, t, -2\/3, l in decreasing order.\nAnswer: l, 4\/9, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 19 = 5*i, -i + 0 = q - 1. Suppose -o + u - 3*u = -3, 22 = q*o - 2*u. Solve 4*a + 7 = -o*v, 11 = 4*v + v - 2*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50, -96, -154, -230, -330, -460?\n\"Answer: -p**3 - 39*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*t - 16, -3*n = 5*t + 60 - 80 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 745 and 3440.62623?\nAnswer: 2695.62623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277555.\nAnswer: 5, 55511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 + -217.5. Put y, 4, 0.2, 1 in descending order.\nAnswer: 4, 1, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 5*f**2 + 7*f + 5. Let w(h) = 2*h**3 - 4*h**2 - 6*h - 4. What is -4*v(o) - 5*w(o)?\nAnswer: 2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 4 (b) 3 (c) -1\/9 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 14 = 159*l - 73. Solve -8*s = -5*s + l*w - 10, -5*s - w = -5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6745428 less than or equal to 6745346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 15, -5*l + 0*p - 35 = 5*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 4 + (-3 - 14) + (9 - 1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.715 weeks in microseconds?\nAnswer: 78451632000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18978959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t)\/t**(1\/4)*(t**(-4))**(-17\/5) assuming t is positive.\nAnswer: t**(147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -395, -786, -1179, -1574, -1971, -2370?\n\"Answer: -l**2 - 388*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 36*o - 33*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*b - 12 = 0, -4*g + 44*b = 42*b - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1776 + -2866. Let v = z + 1921. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Suppose -58 = -3*v - 0*w - 2*w, -2*v + 5*w + 7 = a. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9644 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f**2 - f + 4. Let y(i) = -i**3 + 5*i**2 - 3*i + 1. Calculate the lowest common multiple of g(-4) and y(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0*c + c - 18 = 0, -4384*c + 4381*c = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 14418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323 - 319. Solve 4*v + 10 = -5*q, 0 = -4*q + 3*v - u*v - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 13 = u + 2*p, 2*u + 5*p = -4. Suppose -5*b + 5 = u*j - 41, 3*b = -3. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 v when four letters picked without replacement from {c: 7, v: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624795 and 14720?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzvvwvzzfvzgz. What is prob of picking 2 z and 1 f?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90126603 divided by -1430581?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m + 3. Let t be f(-6). Let w(h) = -h**2 + 6*h - 10. Let z be w(7). Let x = z + 22. What is the highest common divisor of t and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -23. Suppose -3*n + 3*m + 18 = 8*m, 2*m = -2*n + i. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 23*y**2\/3 + 98102933*y\/3 - 8530690\/3 = 0.\nAnswer: -4265345, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 6. Let k be z(-4). Let d(o) = -10*o**2 + 14*o - 14. Let x(g) = 2*g**2 - 3*g + 3. Give k*x(l) - 3*d(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -393. Calculate the greatest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566339 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2, -2*o + 5*w + 63 = 2*w. Suppose 3*q - 40 = p, -5*p = q - 3*p - 25. Find the common denominator of (o\/2)\/(30\/(-10)) and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f**2 - 20*f - 5. Let j(u) = -2*u**2 - 4*u - 1. Let l(z) = -11*j(z) + 2*w(z). Let m = -118 - -114. What is the units digit of l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -df271 (base 16) to base 6\nAnswer: -31331345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8535398 is divided by 554?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*t - 2*t - 533660 + 533660.\nAnswer: -361*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = -2*u + 5*i, -5*u + 5*i = 1722 - 672. Let v = 254 + u. What is the remainder when 186 is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86044262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -545*j**5 - 18*j**4 + 31*j**2 - 4507372*j.\nAnswer: -10900*j**3 - 216*j**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1003*n + 419. What is v(1)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1624 or 1625?\nAnswer: 1624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 18*o + 0*o**2 + 61*o**3 + 6*o - 28 - 8*o + 26 in the form k*o**3 + b*o + x*o**2 + q and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052466331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374185149 by -289393.\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*3 - sqrt(216))*-1)\/(sqrt(24)\/(sqrt(10)\/sqrt(5)) - (sqrt(768) + (sqrt(768) - (sqrt(768) - (sqrt(768) - sqrt(768)*-1))))).\nAnswer: 6*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11438735 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 2*f**2. Let a be t(-2). Let h = 2240 - 2253. Sort -4, h, a, -2 in descending order.\nAnswer: a, -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (41 - 15)) + -20 - -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1473\/2 (b) -3\/35 (c) 5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23607013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2)*(-2)\/7. Let g = 46 - 12. Suppose -9*h - g + 97 = 0. Which is the biggest value? (a) -0.1 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s\/s**(-3)))\/(s**4\/(s\/s**(-4)))*((s**(-3)*s)\/s**(-7))**(-2\/91) assuming s is positive.\nAnswer: s**(263\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -147, -249, -401, -609, -879, -1217, -1629?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 n when three letters picked without replacement from knbkeke?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21087 and 112464?\nAnswer: 337392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 3*u**2 - 7*u**2)*(11*u**2 - 30*u**2 + 11*u**2 + (4*u**2 - 6*u**2 + u**2)*(-4 + 4 + 1)) as o*u**3 + v + p*u**4 + n*u**2 + k*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 5378*j - 4 + 5401*j.\nAnswer: 23*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53554 and 2366.\nAnswer: 63354382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19145074 to the power of 1\/2, to the nearest integer?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9171 + -9169. Solve 0 = -11*c - 3*i - 1 + m, -5*i + 17 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 13. Is 4\/1 + d + 1098 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -11413?\nAnswer: -11408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/11 + 2*s**2 - 20*s\/11 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9850, 9837, 9822, 9805?\n\"Answer: -y**2 - 10*y + 9861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8 + 3*i + i + 2*i - 2*i. Let z be f(11). Suppose g = 5*g - z. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4065*i**2 + 11*i**3 - 4065*i**2 + (1 + 1 - 1)*(-3 + 3 + 2*i)*(-2*i**2 + 3*i**2 + 0*i**2) in the form j*i**2 + u + r*i**3 + q*i and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 3*m + 2. Let t = 4 + -6. List the prime factors of s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 - -6) + -1 - (-434 + 451)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 8*y - 7. Let a be g(6). Let m = -21 - -38. Suppose -8*r + 14 = -50. Solve -a*i - m = r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zupxpbbpzxpxxxpz. Give prob of picking 1 u, 1 z, and 1 b.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 3*y - 5. Let v be x(-3). Let p be v - -3 - (-44)\/(-33). Which is smaller: 2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 257901736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 3. Let n be 1\/k - (-262)\/300. Let o = n + -1\/150. What is the third smallest value in -0.5, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 5*m + 5, 83*q = -81*q + 162*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23439 or -23438?\nAnswer: -23438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5134.60104 rounded to 1 dp?\nAnswer: -5134.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Suppose -f + c - 2 = 0, 2 + 3 = -i*f + 4*c. Let h = -2 + f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*p**2 + 10 + p - 2*p - p + 2*p.\nAnswer: -323*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 40. Suppose -v = -5*q - 30, v + 3*v + 2*q - 76 = 0. Let m be p(v). Suppose d - 5 = m, 4*d - 80 = 3*a - 393. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*p + 25, 3*m + 7 = 2*m - 4*p. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11350 + 252763. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -129, -142, -155?\n\"Answer: -13*z - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 133, 173, 213, 253, 293, 333?\n\"Answer: 40*o + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7051 and 21794?\nAnswer: 239734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -0.2824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*k = -13291 - 27684 for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19050 to the nearest one hundred.\nAnswer: -19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2722420 is divided by 1784?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.43 + -0.03. Let t = -3.3 + k. Is t <= 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -12*c + 9. Suppose c*a + 80 = 13*a. Let p be 96 - 25\/(a\/4). Calculate the highest common factor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -24488*o**2\/17 + 514254*o\/17 - 126\/17 = 0.\nAnswer: 3\/12244, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61+-428.9\nAnswer: -367.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2. Let n(k) be the third derivative of 1\/24*k**4 + 0 + 0*k + 0*k**3 - 3*k**2. Determine m(n(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -269*c - 6. Does 128 divide y(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*30\/50400*40?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnnncncnononn. Give prob of sequence obc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/20 - 0)\/((-3)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:39 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.027 in 5\/6, 19, 1\/2, -1\/19, 2, -2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -61 + 53 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -9 - 1. Suppose -n*v + 87 = -55. List the prime factors of v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2027*g**2 + 16*g. Let f(x) = -4053*x**2 + 40*x. Calculate -2*f(s) + 5*m(s).\nAnswer: -2029*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, 1 m, and 1 k when four letters picked without replacement from {a: 1, k: 1, r: 4, m: 5, i: 1}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 + 5004*d**2 - 3227682*d + 121228880 = 0.\nAnswer: 40, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 0)*5*-1 - ((-1 + sqrt(162) + -5)**2 + -2)) + -4.\nAnswer: -200 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29541, 29526, 29511, 29496, 29481?\nAnswer: 29466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 2. Find the first derivative of 0 + f + m - 4*f + 0*f wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - (-15 + (-4 - (-29 + 16)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 13*w**2 + 89*w + 1442. Let l be u(-14). Suppose 34 = 5*o - 211. Put l, -5, -1, o in decreasing order.\nAnswer: o, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -642504?\nAnswer: 1\/214168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let a(d) be the first derivative of d**6\/36 + 8*d**3 - 27. Let x(b) be the third derivative of a(b). What is x(g(s))?\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32865866 * -0.12.\nAnswer: 3943903.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -43936*t - 21001410. What is k(-478)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + ((sqrt(13) - sqrt(208)) + sqrt(13))**2 - (sqrt(52) + 3)*-1)*-2.\nAnswer: -102 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -81, -12, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -48. Suppose -4*c - i = -3, 3*c - 2*i = -0*c + f. Solve c*o + 10 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 22, -205, 7, -2, -3 in decreasing order.\nAnswer: 22, 7, 6, -2, -3, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1315, -0.2, -5, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4094753 is divided by 2047369.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 20 - 31 - 48 - 4*z. What is the smallest common multiple of b(-20) and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) - (-95)\/2. What is the highest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911, -916, -923, -932, -943, -956, -971?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 1\/5, -10, 2, -1 in ascending order.\nAnswer: -10, -1, -0.3, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457639 is divided by 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(78\/(-260)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1 + 42)*-35)\/((-1)\/200). Round c to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2 + 5 - 2. Suppose 0 = -9*p + 10*p + w + 1, 0 = -3*p - w + 7. Let q(g) = -16*g + 4*g + 5*g - 3 + p*g. Determine -4*l(m) - q(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+68401\nAnswer: 68400.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10769 - -10766. What is the closest to t in 0.17, 1, 5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 2*p = -7*p - 132 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582514 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12723.9 + -12791.89776. Let p = -67.9537 - 0.0463. Let i = p - m. Round i to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 402*x**3 - 178*x. Let w(y) = -134*y**3 + 60*y. Let h(r) = -3*s(r) - 10*w(r). Find the second derivative of h(d) wrt d.\nAnswer: 804*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d + 16*d + 4148 = -25*d for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-48)*((-168)\/(-32))\/(-21)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 + 13981*z**3 - 3551592*z**2 + 308451264*z - 8987934208 = 0.\nAnswer: 88, 13189\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 7*w + 24. Let g(d) = d - 6. Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from {c: 3, y: 1, w: 11, t: 5}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**4 + 6*p**3 - 3. Let b(k) = k**3 + 1. Let n(z) = 6*b(z) - u(z). What is the first derivative of n(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 63*x**2 + 43*x + 29. Let n(t) = t**3 - 42*t**2 - 29*t - 19. Let z(v) = 5*d(v) + 7*n(v). What is z(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/13 (b) -0.4 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4, -5*q - 7 - 4 = 2*k. Find the common denominator of 0 - ((-321)\/(-270) - (-3 - k)) and -15\/11.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 d, and 1 x when four letters picked without replacement from {a: 4, x: 3, d: 3, y: 2, q: 2, o: 2}.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 12 + 12. Let q = c - -6. Let h be (-3)\/q*-4 + 6. Let p(i) = -i**3 + 6*i**2 - 6*i + 3. Give p(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 3. Let o be q(4). Let x be o\/(3\/((-30)\/2)). Let n = -36 - -34.8. What is the smallest value in n, 1, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.7891g?\nAnswer: 0.0000027891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21646 = -2*q + 8591 + 4981. List the prime factors of q.\nAnswer: 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*u*z**3 + 238*z**3 wrt u?\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41209*a**6*r**2 + 2*a**4*s + a**2*r**2*s + a**2*r**2 + 75*a**2*r*s - 10*r**2 + 11*r*s wrt a?\nAnswer: 4945080*a**3*r**2 + 48*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 98. Let m = 5.6 + -6. What is the closest to c in 3\/8, m, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9640, 9641, 9642, 9643, 9644?\nAnswer: 9645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from eeqeqqubeqqqubqbqbq?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4302, -8281, -11798, -14859, -17470, -19637, -21366, -22663?\nAnswer: -23534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b + 6. Let m = -18 + 35. Let u(o) = 9*o + 17. Let n(t) = m*c(t) - 6*u(t). Let x(j) = -4*j. What is n(x(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 2\/9 (c) 3939\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049922?\nAnswer: 2, 3, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(-25 - 1232\/(-48))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -64.6. Let a = 18 - g. What is a rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24038, -47951, -71864?\nAnswer: -95777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from dhddduuujuu?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20119288, -20119265, -20119244, -20119225, -20119208?\n\"Answer: -r**2 + 26*r - 20119313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4335*u**3*v - 27*u**2 - 2*v + 72 wrt u?\nAnswer: -26010*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*a**2 - 496*a**2 + 1457*a**2 - 486*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250470 is divided by 493.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2261147 and 6356.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommmdomlomlommdmo. What is prob of sequence moo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78354 is divided by 653?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551 take away 4242?\nAnswer: -5793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -427*n + 430*n - 10, -5*n + 3*l = -30 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4896)*-1)\/(sqrt(32)\/sqrt(4)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86194 is divided by 42840?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(763\/(-49) + -3). Suppose n - 5*l = -0*l + z, l = -3. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 19400?\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015733923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1400319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170.23 - 170.23000035583. What is h rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/25*5 + 370\/(-75). Let r be (-3)\/2*(-1)\/3. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/(-112)*4 + 24\/32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.002 in -46, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:05 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1989?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvdv when four letters picked without replacement from vvdvddudvdddvu?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.2, -23.1, -83, 3?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-202)\/(-202) - 18\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-52))\/((-7)\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48113.61 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -838547580 divided by -1022619\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -9?\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*i + 189*i + 236 = -177*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**4 + 20*a**3 - 24*a**2 + 4*a. Let i(h) = -2*h**4 + 20*h**3 - 23*h**2 + 3*h. Let b(z) = -4*i(z) + 3*j(z). Determine t so that b(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 2*k - 8*k)*(-2*k**3 + 3*k**3 + 3*k**3) + 4*k**4 - 2*k**4 - 4*k**4 + 2*k**4 - 2 + k**3 - k**3 as d*k**2 + j*k**3 + m*k**4 + n*k + w and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 807154 to the power of 1\/2, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6 and -53\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19230528 divided by -32484?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*w + 16 - 0, -2 = d. Suppose 2*t - 17598 = 10*o - w*o, 4*o + 14084 = -4*t. What is o rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.80871 - -199.39011. Let k = b + -0.1814. Let s = 173 - k. Round s to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 - -3*(-32)\/(-12) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:45 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 + -6 - (-125 - -105)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -20005.\nAnswer: -4\/20005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 3, -2, -16 in decreasing order.\nAnswer: 6, 3, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 55. Calculate b(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(847) + -1 + sqrt(847) + 3)**2 + 1).\nAnswer: 352*sqrt(7) + 13572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(605)*-2*-5 + -5*(-3 + -2*sqrt(605) + sqrt(605)) + -3)*4 + 2)**2.\nAnswer: 71280*sqrt(5) + 2180916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 24 + -32 + 0 + (1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 1006*r - 1003*r + y, -3*y = -5*r + 6. Solve 10*m = 30 - r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**13\/v*v))\/(v**(-12)\/v*v) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1660 - 605346?\nAnswer: -610336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 309.03, 2\/7, 0.4, -1, -10\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000159372 rounded to 7 decimal places?\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2) + 1 + -5. Let m = -9 + 12. Let d(c) = -3 + c**m + 7*c**2 + 2 - 4 - 2 + 4*c. Determine d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1)*c))**(1\/55)*c**5\/(c\/c**(1\/3)) assuming c is positive.\nAnswer: c**(718\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 - 20.9. Let x = 530 - 554.9. Let k = x - m. What is k rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 551 - 529. Suppose -18*o + u*o = 18*o. Let i(q) = q**2 - 3*q + 4. Let c be i(3). Solve o = -0*g + c*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11693 or -11.31?\nAnswer: -11.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 times 8\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 - 1 = 0. Suppose 5*o - 3*p = 1, m*p = -1 - 3. Sort -5, -0.3, o.\nAnswer: -5, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 662808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091346 times -0.2?\nAnswer: -0.0182692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*u**2 + 16*u**2 + 326*u**2 + 84*u**2 - u + 140*u**2.\nAnswer: 638*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28942 and 1?\nAnswer: 28942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1. Let s = -8 + 5. Let g(u) = -u + 9. Let z(v) = s*q(v) + g(v). Let o be z(10). Solve 2*f + 2*f = -5*h + 16, -5*h - o*f + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/11 (c) -0.02 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6203.12 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041632667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqc when four letters picked without replacement from {f: 4, s: 1, m: 3, q: 4, c: 1}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 37?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15176645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 135. Let i be s(24). Solve 0 = i*l - 6*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2205704779\/63 - -35014551. Let t = 3365 - d. What is the common denominator of -68\/21 and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*g = 1, 0 = -3*p + g - 3 - 2. Let r be 90\/3*p\/2. Let f be 69\/2 - (r\/10 + 2). Calculate the greatest common divisor of 34 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 21 + 6 = 0. Suppose 4*k - 2*o - o = c, -5*o = k + 5. Factor 2\/7*v**2 + 2\/7*v**3 + 0 + k*v.\nAnswer: 2*v**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023 + -2200202?\nAnswer: -2201231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - y + 1. Suppose 0*w - 10 = 5*w. Let q be x(w). Let j = 19 + q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44378891 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 + 282250*f**3 + 3897678125*f**2 - 2415354375000*f + 366154031250000 = 0. Calculate f.\nAnswer: -28525, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -77*-27.28\nAnswer: 2100.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -5*g - 1846*x + 1851*x, 11*g - 5*x = -81 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 822 and 48?\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*c**3 - 43*c**3 - 39*c**3 - 89*c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 6*k - 1. Let z be s(5). What is the derivative of -202*c - z*c**4 + 401*c - 199*c - 47 wrt c?\nAnswer: -176*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 * -0.3.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**2 + 99*n - 99*n + n - n + 3*n**2 - 3*n**2 + 3 - 3 + (-2*n + 1 - 1)*(n - n - 2*n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 1776. Let q(x) = -73*x**2. Calculate z(q(t)).\nAnswer: -438*t**2 + 1776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27508.202 + 27465. Round l to 1 dp.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4622*q - 60 = 4610*q. Let g be (-4)\/6 + 24\/9. Suppose -g*c + 21 + 11 = 0. What is the remainder when c is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 8*j + 7. Let n be ((-35)\/(-28)*2)\/(1\/2). Let g(p) = -3*p**2 - 12*p - 6. Let a(d) = 4*d**2 + 13*d + 7. Let z(b) = n*g(b) + 4*a(b). What is z(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 10*c + 28. Let y(h) = h**2 + 10*h - 28. Let k(d) = -2*l(d) - 3*y(d). What are the prime factors of k(18)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k - 1. Let v(l) be the third derivative of l**6\/60 - l**4\/24 - 2*l**3\/3 + 51*l**2 + 3. Determine v(f) - 4*w(f).\nAnswer: -2*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -294*t + 236. Let h be r(-6). Suppose -16*k + 12*k - 3284 = -5*m, -3*m - 5*k = -h. What is the remainder when m is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20949 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*u - 84*u + 197*u + 10222 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(180) + 2 + -1*sqrt(180) + sqrt(180))**2 + (-1 + 2*sqrt(180) + sqrt(180))**2).\nAnswer: -48*sqrt(5) + 7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 1272620.\nAnswer: 1272624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -28, -16, -2, 14, 32?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 103.5. Let t = y - 59. Sort t, -0.2, 0, -4\/7 in increasing order.\nAnswer: -4\/7, t, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 0.028101999.\nAnswer: 0.271898001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.068*-123\nAnswer: 8.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 2\/7, 1.8, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38913*i**2*o**3 + 127*i**2 + 2*i*o - 2*o**4 + 12*o wrt o?\nAnswer: -233478*i**2*o - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 1.2. Let k = -1.5 + v. Let j = -0.4 + k. Which is the second biggest value? (a) -2 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -218, -671, -1124, -1577, -2030, -2483?\n\"Answer: -453*n + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 336.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 16*x**2 + 14*x - 11. Let r be o(-15). What is the nearest to 2 in -0.1, -10\/17, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9318 (base 11) in base 16?\nAnswer: -26c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -540, -1319, -2622, -4449, -6800, -9675?\n\"Answer: -262*h**2 + 7*h - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {i: 1, j: 5, h: 2, m: 2, q: 2, r: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (28\/44)\/1*((-48)\/28)\/(-2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-52)\/24) - (78 - 95).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = -1514 + 2797 - 1430 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -45\/32, -40 in increasing order.\nAnswer: -40, -3, -45\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7219 by -16.\nAnswer: -7219\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223817.9345 - -223761. Let y = u + 57. Let m = 0.1004 - y. Round m to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/9)*q*q))\/(q**(-14\/5)\/q))**(-31) assuming q is positive.\nAnswer: q**(-4216\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -27. Suppose -i = -3*f + 2*f - p, -2 = 5*f - p. List the prime factors of 114\/2 - (3 + f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((320\/(-24))\/20)\/(4\/(-72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168140718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -27*w**3 - 3*w**2 - w - 5. Let o(m) = m**3 - m + 1. Let a(u) = b(u) + 2*o(u). Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c + 19. Let v(o) = o + 2. Let j(r) = m(r) - 2*v(r). Let q(a) = -7*a - 15. Let u(k) = -6*j(k) - 7*q(k). What is u(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10 + 42. Suppose 3*m - 43 = -z. Let f = -28 - -41. Calculate the remainder when f is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 15 = -4*r - 1, -5*t - 5*r = -10. Let x = 19 + 0. Suppose 0 = 5*s + a - x, 0 = 2*s - t*s - 4*a. Solve -16 = -o - 4*l, -o - s*l = l - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1 + -2)**2*-4 - ((sqrt(77)\/sqrt(7) + 0)**2 - -2*sqrt(99)).\nAnswer: -411 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = -68. Let r(p) = p**2 + 9*p + 11. Let j be r(-8). Suppose -3*a - 2 = -2*a, 4*a + 14 = j*v. What is the least common multiple of v and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 6*u**2 + u - 8. Let r be b(-4). Let n(s) = s**2 + s + 5. Let o be n(5). Let z = o - r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5984, -5876, -5768, -5660, -5552?\nAnswer: -5444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 41, 50, 43, 14?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -514\/15 + 104\/3. Let u be 6\/(-6)*4\/4. Let l = 1 - 0.8. Which is the closest to y? (a) l (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*h + 4. What is the closest to -0.1 in h, -1\/5, -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/2 - 781*d**3\/2 + 1122*d**2 + 34902*d + 84024 = 0 for d.\nAnswer: -6, -3, 12, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/(q\/(q*q**3)*q)*q**(1\/4)*q**(-2\/13))**(12\/5) assuming q is positive.\nAnswer: q**(-1233\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20225260 and 40450520?\nAnswer: 40450520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2)\/3*39\/26. Let p(r) be the first derivative of b + 8\/9*r + 0*r**2 + 1\/18*r**4 - 2\/9*r**3. Solve p(q) = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q. Let x be c(-5). Let d = -19 - -179. What is the greatest common factor of d and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -62, -1\/2, 33, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -dea985 (base 16) in base 13?\nAnswer: -303bc66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 0.16. Sort 5, -1, -4, s in descending order.\nAnswer: 5, s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 15. Give o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44194.0047 - 44197. Let f = 0.0047 - m. Is 11 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 16. Is 3 a factor of (36\/v)\/(3\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q + a, 0*a - 15 = 5*a. Solve -4*g - q + 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -220?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223172 + -223172. Find u such that -3\/5*u**3 + 3*u - 12\/5*u**2 + q = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7.8. Let z = 26141424 - 26141424.80000036. Let g = y - z. Round g to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 2.98. Let l be (-3)\/(15\/2) - (-13)\/(-5). Sort l, -6, h.\nAnswer: -6, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/35*98\/(-84)*14*(-11)\/110?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14 - 9 - 7*o + 7 + 2*o + 4*o + o**2. Let z(t) = t**2 + 7*t + 7. Let b be z(-5). Let r = -3 - b. Calculate h(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10789146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1\/4*(-7844)\/(-583)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-117)\/(-72) + (-3)\/(-8). Suppose 0 = -o + 5*o - 4*z - 5176, o + q*z = 1303. Does 49 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12*u + 182 = -8*u, -h = 6*u - 174. What is the greatest common divisor of 126 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/192*(-83)\/(2324\/(-112)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 17*g - 28. Let f = -13 + 28. Let q be m(f). Suppose q*s + 5*y = 186, 0*y = -3*s + 3*y + 300. Round s to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.225 - -81.6\nAnswer: 80.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -599*a**5*k + a**5 - 8*a + 24*k - 1 wrt a?\nAnswer: -11980*a**3*k + 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82778, 165555, 248332, 331109, 413886, 496663?\n\"Answer: 82777*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116, -230, -344, -458, -572, -686?\n\"Answer: -114*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 9:36 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*y - 6*y - 37, 5*y + 25 = m. Suppose m*q - 160 = 5*z, -3*q + 60 = 2*z - 21. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1584)*-5.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-10 - -6)*-5. Let t(s) = -11*s**3 + 1. Let u be t(-1). Let o be (-40)\/u*12\/l. Which is the second biggest value? (a) -2\/17 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 593733256.\nAnswer: 593733256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -749199.49 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5))**(1\/5)\/((c\/(c\/((c*c**(-1\/3)*c)\/c)))\/((c\/(c*c**(4\/9)*c*c))\/c)) assuming c is positive.\nAnswer: c**(-898\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1477252, -1477254, -1477256?\n\"Answer: -2*j - 1477250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = a. Let y = 1076 + -35. Suppose 909 = -a*c - y. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ououoououcuocooooouu. What is prob of picking 1 o and 1 c?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = 4. Let z be (p\/6)\/((-6)\/27). Suppose 2*k - 10 = -5*m, 0 = 3*m + k + 2*k + z. Solve 0 = -f + 4, m*v + 5*f - 40 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 25?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382 + 660. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3 + 12*r**3 - 23605*r**2 + 27565*r**2 - 3*r**4 wrt r?\nAnswer: -72*r + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 18*y**2 + y + 20. Let n be a(-18). Does 6 divide n\/(-11) - (-4 - 1854\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 246*w + 10523. What is j(-41)?\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 4. Let f be t(7). Suppose -v = -f - 2. Suppose -4*h + 12 = 0, -v*h + 493850 + 5506165 = 2*m. Round m to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b**2 - 2*b + 2. Let a(x) = -25*x**2 - 15*x - 20. Let y be 3*10*(-5)\/30. Let l(o) = y*i(o) - a(o). Factor l(k).\nAnswer: 5*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - 20 + v + 43 + 5*v**3 - 21 to the form u*v**2 + k + l*v + p*v**4 + o*v**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -240 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -57, 118, -445, 2 in descending order.\nAnswer: 118, 5, 2, -0.1, -57, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (4 - (-3)\/((-9)\/6)) - -10. Put -1415, s, -4 in decreasing order.\nAnswer: s, -4, -1415","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/3*1*6. Suppose 2*a - 5*o - 6 = 0, -5*a = -8*a + 3*o + 27. Suppose -a*i = -15*i + u. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077385253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -3. Let x be (-2)\/(-5 - 1)*m. Suppose -f + 5 - x = 0. 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 remainder when 261 is divided by 111.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-21))\/(-5)*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 13) + -4 + 45 + 0 + -11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22510376 + -22510559.00394. Let t = 183 + c. What is t rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -16. Let x = -2019 + 2024. Put g, x, 0.23 in decreasing order.\nAnswer: x, g, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000128333388 to seven decimal places.\nAnswer: -0.0001283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1119*d**3 - 801*d**3 + 210*d**3)*(-1 + 1 - 3) + 0*d**3 + 2*d**3 - d**3 + 3 to the form m*d**3 + z*d + x + n*d**2 and give m.\nAnswer: 5131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -229*r**7\/7 + 29*r**4 + r**2\/2 + 15*r - 30. Find the third derivative of g(p) wrt p.\nAnswer: -82440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 1 - -13) + -6 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 2\/51*q**3 + 0 + 1\/102*q**4 - 1\/170*q**5 - 6*q + 0*q**2. Determine d so that s(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7205363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2872557 or -2872545?\nAnswer: -2872557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 91*f**3\/6 - 21*f**2 + 104*f. What is the units digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 0*f - 28. Suppose -f*s + 5*x = 0, 0*s + 4*x = s + 11. Solve 3*t - 27 + 7 = -4*i, 2*t = -s*i + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 5*b**2 + 6*b + 10. Let a be n(-4). Suppose 3*u - 4 = a*u. Solve s + 4*m - 1 = 3, -u*m = -5*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 11) to base 9\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11020 and 3438791?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1600 is divided by 191?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -4321?\nAnswer: -2592.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440105 and 920?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -2985\nAnswer: 29.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - (5 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:18 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k. Suppose p - 12 = -5*x, -p = -4*x + 6 - 0. Suppose 2*d + 79 = -m, 0*m + 75 = -m + x*d. Let j be m\/(-63) - 2\/9. Calculate q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*r + 2, -2*g + 6*r = 7*r - 6. Let p(k) = -5*k**2 + 6*k + 11. Let i(c) = -c**2 + c. Calculate g*i(f) - p(f).\nAnswer: f**2 - 2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 221*x**2 - 5 + 4 - 64*x**2 + 62*x**2.\nAnswer: -223*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-20)*(-128)\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoo when three letters picked without replacement from {e: 3, o: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0812 - 0.02.\nAnswer: -0.1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 1, w: 6, d: 5, i: 1}. What is prob of picking 2 v and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(1 - (3 + -1)). Suppose d - w = -14. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11001157 - -462070621\/42. Let u = 1589\/3 - p. Find the common denominator of u and -103\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*9*(-1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 541 * 9375.2\nAnswer: 5071983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 1034\/(-24). Let k = 43 + t. Factor 1\/4*i**2 + k - 1\/2*i.\nAnswer: (i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45252540 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 5\/122 (c) -0.4 (d) -3\/2 (e) -0.3 (f) -3 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**3. Let h(f) = -9*f + 31 + 44 - 35 + 63 + 62. Let t be h(18). Let x(j) = 56*j**3. What is t*x(r) - 16*y(r)?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15339 a factor of 516648198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - 18) + -14 + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2519 and 6347?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 235. Suppose m*i - 108*i = 516. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -53. Suppose -22*z = -y*z - 4. Is z\/2 + (-274)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*h + 3944, 4*h = 3*h + 4*d + 1333. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56343 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 10. Let a be (-6)\/(-9) + (-2)\/3. Let z be c(a). Solve -5*p + z*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6738 is divided by 75.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 399*i + 5705. Let g be z(-184). Suppose l - 2*r = -15, -39 = 4*l - 2*r + r. Sort -3, g, l in descending order.\nAnswer: g, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 439 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 14991*b + 14991*b + 43.\nAnswer: -b**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 - -0.36. Let p = -0.365 - n. Let q = p - -0.0649946. What is q rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.0126.\nAnswer: 0.000882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.16, -1, -1\/9, 1\/3, 2\/17, 2\/2547?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 375357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 355.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, 1 w, and 1 t when four letters picked without replacement from ruowoooooootouorouo?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3452\/9 - 384. Let f = -826 - -843. Suppose 4*u - 21*u = f. Which is the closest to -0.1? (a) 1 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 10*t + 28. Suppose 576 = t*r + 2*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/88)\/(-3*(-5)\/(-30180)). Solve 507*v = f*v - 28 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5 + z**2 + 3*z**3 + 11*z - 5*z**2 - 6*z. Let i(j) = 21*j + 2*j**3 + 10*j**3 - 7*j**2 - 6*j**2 - 8*j**2 + 21. Give -5*i(m) + 21*r(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 28. Let u(w) = 2*w. Does 3 divide u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20. Suppose -4*b - 19 + 27 = i. Solve -b*x = -4*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 8*s + 71184 = 2*s. Is s a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 - -11.87. Let f = p + -7. Which is the smallest value? (a) -4 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*-49980.77\nAnswer: -13494.8079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3911436 by -434604.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1338000 divided by 4.\nAnswer: -334500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19814275 by 19331.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -396, -396, -398, -402?\n\"Answer: -x**2 + 3*x - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j*j\/(j*j**(1\/2))))\/j*j*j))**(28\/5)\/(j\/j**(2\/3)*j**(-5)) assuming j is positive.\nAnswer: j**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93.3162 months?\nAnswer: 7.77635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 7*d**6\/30 - 7*d**2\/2 - 6*d - 1. Let s(a) be the first derivative of b(a). Find the first derivative of s(i) wrt i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 62*d**2 + 177*d - 16. What is t(-59)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 40 = 2*v. Suppose -66 = -v*y + 4*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2369*h - 2366*h + 4736*h - 13*h**2 + 1 in the form n + p*h + j*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -332240 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71522 by -3251.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2497\/4, 1, -0.7, -3\/7, 4.\nAnswer: -2497\/4, -0.7, -3\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 973 (b) -15 (c) 0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -717, 1\/3, 8.\nAnswer: -717, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(5 + (-2 + sqrt(7) + 1 - sqrt(7)*2*-1)*-5) + -5.\nAnswer: -24 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18867?\nAnswer: 3, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 73 = 79. What is the second derivative of -6*f**2 - f**d + 205*f - 184*f - 2 - 4*f**3 wrt f?\nAnswer: -24*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 - l + 3. Let g be x(3). Suppose 6 = 3*j + g. Let a(n) = 0*n**2 - 4*n**2 - 3*n + 3 + 2*n - n**3. Determine a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/2384 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by 1898.\nAnswer: 71\/1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 - 326*x - 2277. Give c(-7).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 2, p: 3, n: 4, j: 2, k: 2}. What is prob of picking 1 j and 3 p?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*a + 88, -4*a - 4*j + 0 = -52. Suppose u + a*u - 3456 = 0. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(3\/4)\/b*b))**(-6\/7)\/(b*b**(-2))**(17\/3) assuming b is positive.\nAnswer: b**(229\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 12 = -3*i, -8*d + 7*i = -12*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Solve -f + 0 - h = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106177.604 rounded to the nearest 1000?\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74828 and 3926?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p)\/p)**(24\/7) assuming p is positive.\nAnswer: p**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 884 (base 11) to base 2\nAnswer: 10000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296237 is divided by 654.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -0.428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbbr when four letters picked without replacement from bbbrbbbbbbrbbbr?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -2 + 3 + 5 + 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**8\/56 + t**6\/30 + 17*t**5\/30 + 33*t**2 - 2*t. Find the third derivative of j(v) wrt v.\nAnswer: -360*v**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199466 not equal to 199460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*c + 28513, -c + 2*h + 7131 = -h. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) 9562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6094*f + 30552. What is h(5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2823634 to three dps.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(153)*2*-2 - ((sqrt(153)*2 - sqrt(153))*-2 + sqrt(153) + sqrt(153)))\/(sqrt(63)\/(sqrt(63)\/(sqrt(9) - sqrt(225)) + sqrt(7))).\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.1, 1.9, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 + 1 = -x, -18 = -4*o - x. Let k(m) = 4*m**2 - 6*m + 22. What is the tens digit of k(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:40 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*v - 13, 0*v - 4*v + 4 = -4*d. Find the second derivative of 6*m**2 - 5*m**v + 5 - 7*m + 4*m**3 + m**2 wrt m.\nAnswer: 24*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229757 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: Calculate the remainder when 10514 is divided by 90.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:08 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 2*w - 3. Let o be r(-4). Let d = o - -191\/3. Calculate the common denominator of 51\/11 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ae4 (base 16) to base 8\nAnswer: 5344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 34816*d**3 - 5*d**2 + d + 10. Suppose p + 9 = 4*c - 0, 3 = -2*c + 3*p. Let s be j(c). What is s rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 6?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*d, 0 = -2*i - 5*d + 3 - 26. Suppose -4*q + 4*u = -60, -2*u + u = 5*q - 93. Calculate the remainder when 14\/56 + (-275)\/i is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 = -2. Suppose f*g + 77 = 2*g. Let c = g + 164. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, -995, 2 in decreasing order.\nAnswer: 2, 1, -1, -5, -995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (45\/6)\/(2\/216)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 27. Let s be h(-8). Let u = 1 + s. Solve -4*m - 2 = u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 = -54. Let c be 18\/n + (-3)\/(-15). Let o = -2.27 - -2.37. What is the nearest to 1\/3 in c, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(3\/12). Let h(y) = 5*y**2 + 37*y + 14. Let l be h(-7). Let o = l - f. Solve -2*m - b = 10, 0*m + 18 = -o*m - 5*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 712?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74601187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/4)\/(-15*(-12)\/(-13920)) is divided by (3 - 45\/12)*-16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1048 in -0.6, 0.4, 2039?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5475514 (base 8) in base 9?\nAnswer: -2685052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3559279 <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n + (0*n + 2*n - 3*n)*(-1 - 1 + 0) + 68*n - 140*n + 73*n)*(-1 + 20 - 13)*(0 + 3 - 2).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -23. Let m(a) be the first derivative of 0*a**2 - 7\/15*a**5 - 1\/12*a**4 - 2\/3*a**6 + 3 + k*a + 0*a**3. Solve m(i) = 0 for i.\nAnswer: -1\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.15 + -0.85. Let s = q + 35. Let c = 0 + 0.1. What is the closest to c in -5, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**1))**(-2\/27)*r**9\/r*r*(((r**(10\/3)*r)\/r)\/r)\/r)**3 assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 37*p**4\/24 - p**2 + 989. Let m(n) be the first derivative of -n**3\/3 - 6. Calculate m(k(s)).\nAnswer: -1369*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.1481 to 0 dps.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.53 or -11\/20?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.1 - 91.1. Let a = x - -14. Let j = -61.7 - a. Put -0.4, -1, j, 1\/3 in increasing order.\nAnswer: -1, -0.4, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 6. Let j be f(0). Suppose 6*r - 2*r - 6 = -g, -3*g - j = 0. Let m = 7 + -4. Solve -m*t - 4*x + 7 = 0, 5*t + r*x - 9 = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 5. Let b be i(-6). Let n = 4 - b. What is the first derivative of s**2 - 5*s**2 + n*s**2 + 2 wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -9064.555.\nAnswer: 906.4555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 69 + 181. What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.537 - 14.537. Let u = 3.1 + -0.1. Which is the nearest to -0.2? (a) 0.4 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*(-153)\/360)\/(6*(-22)\/(-1056)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 77*c**6\/10 - 17*c**2 - 164*c + 100. Let k(y) be the first derivative of t(y). Differentiate k(j) with respect to j.\nAnswer: 924*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3 - f**2 + 29*f**3 + 6*f - f. Let y be 444\/(-222)*-1*(-2 + 3). Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 is divided by 1035?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 17. Determine m(-33).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 + 3*x - 190. What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxuuudwwudwuxxuwux. What is prob of picking 2 w and 2 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 1}. Give prob of sequence gjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/141)*c**32*c)\/(c**(-8)\/c**(6\/23)) assuming c is positive.\nAnswer: c**(133855\/3243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/7))**(1\/8))**(-9))**(-1\/15) assuming c is positive.\nAnswer: c**(-3\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -84*s + 138 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:48 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 - 228*w**4 - 1536*w**3 + 1952*w**2 + 18240*w - 28224 = 0. Calculate w.\nAnswer: -49, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 326515 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**2\/2 + 3*w + 1. Give v(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(8\/(-84)*1). Sort -2, -1, 3, q in descending order.\nAnswer: q, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o - 81*o + 339633898*o**3 - 169816952*o**3 - 169816949*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-300)\/(-28) - (-4)\/14. Suppose 3*z - 4 - m = 0. Suppose 3*j - 7*j + 3*d + 12 = 0, -8 = 2*d. Sort 2, z, j in increasing order.\nAnswer: j, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -8 + 44. What is the least common multiple of 18 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125752310?\nAnswer: 2, 5, 12575231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 - 48*b - 3786. Give l(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 2*h + 49 = 0, -12*k + h = -9*k + 13. Which is the closest to 0? (a) -0.3 (b) 7 (c) k (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37566, 75137, 112708, 150279, 187850, 225421?\n\"Answer: 37571*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*o + 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*x - 18, 2 = 5*n - x - x. Is n at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33914 and 806?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -164, -335, -512, -695, -884, -1079?\n\"Answer: -3*c**2 - 162*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20246 - 20245. Let s(d) = d - 1. Let t(h) = 4*h**3 + 2*h + 1. Let q be t(-1). Let o(m) = 8*m - 3. What is j*o(p) + q*s(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2042 - 2041. Sort 0.04, 1\/5, 0, b, 1\/3 in increasing order.\nAnswer: 0, 0.04, 1\/5, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqaz when four letters picked without replacement from {q: 2, e: 2, z: 2, v: 1, a: 3, p: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/336)\/(42\/9*9\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5230 + 2906. What is the remainder when 4*(i\/(-16))\/7 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 2*y, 3*y + 50 = n. Let r = n - 42. Suppose 0 = 4*x + 2*v + r*v - 20, -x + 6 = 2*v. Solve 2*p - p = x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 97, -2, 2179, -19 in decreasing order.\nAnswer: 2179, 97, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*p**2 - 41*p**2 + 81*p**2 + 2*p**2 + 4*p - 4*p + (-2 + 2 - 2*p)*(-3*p + 5*p - 4*p) + 2*p**2 - 2*p + 2*p + 4*p**2 - p**2 + 12*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + -23864?\nAnswer: -23904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4589\/138 - 199\/6. Let g = -1.13 - -0.13. Which is the closest to g? (a) -1\/4 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 10*t**2 + 8*t - 4. Suppose y = -3*y - 36. Calculate the remainder when 13 is divided by o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17178 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: Suppose 4 = f + 65. Let k = f + 99. Suppose 0 = n + 5*s - 14, -5*s + k = -0*n - 3*n. Let l(g) = -3*g - 2. Give l(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*z + 2 - 53 = 49. Solve -2*l - 2 = 0, -7*m + 2*m = l + z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 12875346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*1)\/((-1)\/(-3)). Let c(n) = 37*n**2 - 3. Let y be c(-1). Suppose -j*w = -176 - y. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -15 - (66 + -4)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1502, -1444, -1350, -1220, -1054, -852?\n\"Answer: 18*c**2 + 4*c - 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120289*t**5 - 3*t + 442 wrt t.\nAnswer: 2405780*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:58 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2783 is divided by 279?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 165*y**2 + 165*y. Let v(p) = 163*p**2 + 166*p. Let r(f) = -2*m(f) + 3*v(f). What is the second derivative of r(d) wrt d?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/2, -0.403, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)*a\/a**(-1\/5)*a*a**2\/(a**(-1\/6)*a))\/((a**(-2\/7))**41)**16 assuming a is positive.\nAnswer: a**(39983\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -52. Calculate the remainder when 73 is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3958 - 51413\/13. What is the common denominator of m and 13\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60287059?\nAnswer: 7, 8612437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Let d(q) = q**3 + 10*q**2 + 9*q - 5. Let o be d(-9). Put t, o, 3 in descending order.\nAnswer: 3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229 divided by 225.\nAnswer: 229\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8961495, -8961491, -8961485, -8961477?\n\"Answer: o**2 + o - 8961497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 k, and 1 d when four letters picked without replacement from {d: 2, i: 1, w: 2, l: 10, k: 2, r: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96270547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4085 and 15.\nAnswer: 36.1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 divided by 320?\nAnswer: 547\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 56*u + 1. Determine q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6709\/((-12 + -1 - -12)\/(-3 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -75. Let h be (-72)\/84*(-77 + 0). Let b = h + -65. What is the nearest to n in 0.5, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -5 + 1)*-67 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 785348.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 662454029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**3 - 51427974*t**2 + 102855939*t - 51427968 = 0.\nAnswer: 1, 17142656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -606.903 to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 6. Let z = 1 + p. Find the common denominator of 5\/((z\/(-6))\/1) and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 104. Let y(k) = 3*k + 109. Calculate 4*v(m) - 3*y(m).\nAnswer: -m + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/6 + 4*v**2 + 2*v + 3. Let d(j) be the first derivative of z(j). Calculate d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110529206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m - 2*k + 24, -52 = -5*m - 3*k. Suppose -x - 3*n - n - 17 = 0, -4*n - 35 = -5*x. Solve m = 5*u - x*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + -151. Let r be f\/(4 + 24\/(-4)). Do -3\/34 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 - 5. Let r be t(4). Let x = -2 - r. Suppose -u - 10 = -x*u. Solve u*v = v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 - 4*m + 6. Let w(u) = 7*u**2. Give w(l(z)).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(342\/189)*(-2)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -265*i + 10352. Calculate x(39).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 2. Give x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3\/2. Let s(u) be the first derivative of -u**3 - u + 1\/4*u**4 + c*u**2 - 1. Factor s(f).\nAnswer: (f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2088.6 and 0.0224289.\nAnswer: 2088.6224289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:37 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1023313 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 28*p\/5.\nAnswer: -2*p*(p + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/21488 and 133\/4680.\nAnswer: 12570480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, o: 2, z: 3, b: 2, p: 2, u: 3}. Give prob of picking 2 b.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p + 15*p - 944 + 243 + 10*p.\nAnswer: p - 701","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6402058 + 6404858 = 50*n for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, f: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 7 = s - 3*p, -17 = -5*s - 3*p. Solve s*y - 7 = 5*d, -3*y = 2*d - 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r + 22*r - 78. Let b = r - -21. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2185508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -22 - -14 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091001470 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120120 (base 3) to base 16.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159529, 159517, 159505?\nAnswer: 159493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-28)\/8)*6. Suppose 0 = g*u - 21 - 3. Let w(y) = -y + 1. Let m(l) = 8*l - 10. Let n(q) = 2*m(q) + 20*w(q). Determine n(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 5:06 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -42?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.5 - -20. Let q = -2.57 + 52.57. Put -0.1, y, q, 2 in descending order.\nAnswer: q, 2, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -2\/5 (c) -1\/1645\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(3\/(-7)) + (-12 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 2*o + 1. Suppose 3*a = -2*b + 23, -3*b = b + 8. Let y = a + -2. Suppose 2*l + 0 + y = -t, -4*t + 12 = -2*l. Give i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*4.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2 - 9 + 1890*g**2 - 1873*g**2 + 2*g**3 - 11 - 11*g. Suppose 2*w + 10 + 8 = 0. Let n be h(w). Solve 4*j + 2*r - 6 + 4 = n, -r + 1 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 divided by -48?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*q - 726 = 514 + 92 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 16, -1, -3, -2, -8, 3 in descending order.\nAnswer: 16, 3, -1, -2, -3, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.846963m to kilometers.\nAnswer: 0.000846963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 d when three letters picked without replacement from {o: 4, u: 7, d: 2, c: 1, f: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173834, -173513, -173192, -172871, -172550?\nAnswer: -172229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346611 rounded to the nearest 1000?\nAnswer: 2347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 2205 = -12*z. Calculate the greatest common factor of z and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:49 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 12 = -2*y, -60*p = -55*p + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 4 - 4.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) + ((-925)\/(-8220))\/1. Let x = n + -4\/137. Which is the nearest to -4? (a) 0 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -6.\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/(b*(b*b*b**(2\/17))\/b*b))**5 assuming b is positive.\nAnswer: b**(-282\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43312 - -83014. List the prime factors of c.\nAnswer: 2, 3, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-102)\/595*5)\/((-30)\/(-21))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013805 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(75) + sqrt(75)*1 + sqrt(75)*2 + -2) + (sqrt(1944)\/sqrt(3))\/(2*sqrt(486)))**2.\nAnswer: -122*sqrt(3) + 3748\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*t = -42, -227*t + 228*t + 37 + 5 = 3*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.346l to millilitres.\nAnswer: 201346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/660 - 133*d**5\/330 - 269*d**4\/132 - 45*d**3\/11 - 5*d**2 - 57. Factor g(a).\nAnswer: 2*(a - 135)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 69852*j - 558806. What is i(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -726*i**2 + 11*i + 379. Let w(m) = -1447*m**2 + 26*m + 759. Let g(c) = 7*k(c) - 3*w(c). Find the second derivative of g(s) wrt s.\nAnswer: -1482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*v - 455451, 3*d - 173106 - 282355 = -4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 less than or equal to 418\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 18. Give x(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 - -2) - (86 + -89). Let u be (9\/6)\/(-3)*-114. Which is the second smallest value? (a) -3 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 31*l + c, 120*l + 5*c + 24 = 60*l + 61*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 549, 3, 0.235, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32888 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let m(v) = 148*v - 26. Let l(y) = 2*m(y) + 4*s(y). Differentiate l(q) wrt q.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/11 + 67242*c\/11 - 15160876\/11 = 0.\nAnswer: 227, 33394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86049054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 0*l**4 + 2*l**4 + 0*l**4 + l**4 + l**4 + (-4*l**3 + 4*l**3 - l**3)*(1 - 1 - l) - 2*l**4 - 4*l**4 + 5*l**4 - 44*l**4 + 105*l**4 + 355*l**4.\nAnswer: 421*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -3 - (0 - -1). Let u = 3 - g. Let h be (-134)\/(-6) + u\/(-3). Calculate the highest common factor of h and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/(-42) + 0 - -1. Let m(o) = o**2 + 11*o - 43. Let j be m(-14). Which is bigger: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + g - 10 = 0, 0 = -a + 3*a - g - 2. Suppose 4*u = 3*t + 5*u - 390, 3*t + a*u - 384 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.9. Let d = 24 - 29.2. Let v = b + d. Put v, 0.5, -3 in ascending order.\nAnswer: v, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/105)\/(58\/30 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -552.1 - -552. Which is greater: w or -289?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1979774, 7919152, 17818118, 31676672, 49494814, 71272544, 97009862?\nAnswer: 126706768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 2*a**2 - 7*a + 1. Let t(p) = -2*p**3 - 4*p**2 - 16*p + 1. Give -5*n(x) + 3*t(x).\nAnswer: -x**3 - 2*x**2 - 13*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**4 - 2*k**4 - 6*k**4 - 3*k**2 + k**2 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-441)\/4 + (-2)\/(-2). Let j = f - -2099\/20. Let w = 26659\/3736 - 5\/467. What is the common denominator of j and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463 + -425. Suppose -64 + 520 = u*b. Solve -b*w - 17 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1883*l + 314116 - 314116.\nAnswer: 1883*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325 (base 7) to base 9.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4123435048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1162 and 45\/82.\nAnswer: 47642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 32*v - 31*v. Let q = v - 131. Suppose 7*m - 230 - q = 0. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 69 - 162*b + 339*b - 180*b.\nAnswer: -3*b + 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -0, 4*j + 5429980 = -3*p. Round p to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22497119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5933 = -5*p, -5*d + 10*d - 29781 = -4*p. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 120827 = 15643. Suppose -5*g - m = 10706. What is g rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/20)\/((-16012)\/(-40030)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from zfwpupuzufwfwz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6269.598 and -29492247.\nAnswer: -29498516.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 2, j: 7, y: 7}. Give prob of picking 1 j and 1 u.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.2 + 10. Let g = p + -2.8. Let y = -0.07 + 0.37. Which is the second biggest value? (a) g (b) 1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 27 = 127. Suppose -2*u - 3*o + m = 0, -3*u + u = o - 31. Is -4*(-2 + u\/(-2)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + 2*d)*(-2*d**2 + 2*d**2 + d**2) + 2*d**3 - 9*d**3 - d**2 + 5*d**3.\nAnswer: -5*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -1 + -68 + 90 - 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 402 = 352. Suppose v = -3*q + 144, 0 = -5*v + w*v - 3*q - 720. What is the remainder when v is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82234 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, b: 3, x: 1, o: 6}. What is prob of sequence xko?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5409950764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 5*j**2 - 4*j + 2. Does 17 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (10 + 0 - (3 + 2 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b**2 - 14*b - 38. What is the remainder when 148 is divided by v(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*g - 11. Let h(s) = g*s + 4*s - 8*s - 1 - s**2. Let m be h(6). Solve 5*f = m*w + 35, 5 = 2*w + 5*f - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 26, 4, 5, 7 in decreasing order.\nAnswer: 26, 7, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**6*(y**1\/y)**(-2\/15) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.08 (c) 0.09 (d) -2\/21 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20087.\nAnswer: 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -42695 bigger than -42693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from {k: 1, u: 2, f: 1, p: 1, x: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 1435*q - 37034. Determine h(27).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = 22. Let w(p) = -4*p**3 - 14*p**2 - 10*p - 10. Let b be w(-3). Is 41 a factor of 3972\/14 + b\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*z - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107*v**3 - 15*v**4 + 107*v**3 + (-v + v + 2*v**3)*(2*v + v - v).\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 418\/(-1088054)*274 + (-1)\/((-38)\/(-908)) + 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 3, -14683?\nAnswer: -14683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 50757 = 275184. Let h = i + 23128. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.1 - 13.5. Let r = l - -8. Let d = r - 1.04. Round d to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -54, -1, -0.5, -0.8 in ascending order.\nAnswer: -54, -1, -0.8, -0.5, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 74*i**2 + 2349*i + 8177. Determine t(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2385 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t\/t**(1\/2)))\/t)\/t*t**4)**(-2\/81) assuming t is positive.\nAnswer: t**(-7\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4307 = -5*w, w - 4*i = 346 + 497. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 = 3*x, -57 = -4*x + a - 6. Suppose 12 - 31 = -4*p - 3*d, 5*d = -2*p + x. Solve -p*y = -1 + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-35)\/(t\/(t*((t*(t*(t\/t**(-4\/17)*t)\/t)\/t)\/t)\/t*t))*(t\/t**(-4\/23)*t)\/t**(-39\/5) assuming t is positive.\nAnswer: t**(-46511\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/5)*b)**(7\/6))**(-1\/17))**(-5\/8) assuming b is positive.\nAnswer: b**(7\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 39 = -4*i, -4*i = -33*v + 31*v - 30. Suppose 0*b + 5*b = 10, -4*t = 3*b - 14. Let q = 6 + t. What is the lowest common multiple of v and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 609, 611, 613, 615, 617?\n\"Answer: 2*j + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2. Let r(u) = -289*u**2 + 9*u + 27. Let k(m) = 72*m**2 - 2*m - 7. Let y(b) = -9*k(b) - 2*r(b). What is y(z(j))?\nAnswer: -280*j**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8) - (-3)\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*-3*1. Let i(v) = v**2 - 5*v + 6. Let z be i(4). What is the third derivative of 0*u**j + z*u**2 + 5*u**3 - 4*u**3 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-630)\/(-36))*(17 - -17).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 385788612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 399*z - 405*z + 0.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1539) + -1*sqrt(1539) + sqrt(1539)))**2.\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 37. What are the prime factors of u?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 - 474*n + 19467\/2 = 0. What is n?\nAnswer: 21, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q**2 - 11*q - 10. Let v(d) = 14*d**2 + 8*d + 9. Calculate 5*u(a) + 4*v(a).\nAnswer: a**2 - 23*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*r**2 - 1458*r**2 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 40418.73 and -66917.\nAnswer: -26498.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 180884, 361805, 542726, 723647, 904568, 1085489?\n\"Answer: 180921*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-27 + 0)*(-33)\/(-11). Which is the nearest to i? (a) 0 (b) -0.09 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1349 + -1350. What is the nearest to p in -4, 0.001, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:54 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 571706 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (736\/(-23))\/(2\/16). Let q = 270 + f. Suppose -2*n - n + 336 = 0. What is the greatest common factor of n and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*p = -15, 3*i - 4*p = -6*p - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*d - 74350 = 86*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3 + 12, -q = -2*f - 11. Suppose b + 0 = -q. Let w be -4*b*2\/4. Solve m = 2*m + w*s - 1, 5*s - 25 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 - 23*n**2 + 13*n + 10. Let b(j) = 9*j**3 - 47*j**2 + 26*j + 21. Let x(z) = -3*b(z) + 7*v(z). Is x(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(612) + 5 + 1 + sqrt(612) + (1 + sqrt(612))*-5) + (sqrt(612)*2*-2 - -4*(sqrt(612) + sqrt(612)*1 + sqrt(612) + sqrt(612))))**2.\nAnswer: -1057584 + 3456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 + 93 + 130 - 24 + 77)*(-24*j**3 - 17*j**3 - 11*j**3) to the form b*j + l*j**3 + x + v*j**2 and give l.\nAnswer: -12688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 226491 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5314*h - 2370. Does 39 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/24 - l**3\/2 + l**2. Let f(y) = -66*y + 1381. Let d be f(21). Let u(z) = -z - 4. Give d*u(r) + 6*q(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11. Let i(v) = v**3 - v**2. Let d(l) = 7*l**3 - 5*l**2 - 3. Give t*d(g) + 5*i(g).\nAnswer: -2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, 1, -53, -2\/3, -0.36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 6\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**4\/12 - f**2. Let i(k) = 7*k**2 + 3. Let h(p) = 11*p**2 + 5. Let l(c) = -3*h(c) + 5*i(c). Calculate l(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4070863, 4070864, 4070865, 4070866, 4070867?\nAnswer: 4070868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49070 and 242817988.\nAnswer: 9814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -155*p - 7. Let d(y) = 233*y + 11. Let b(k) = 5*d(k) + 8*s(k). What are the prime factors of b(-1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1411689450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.142327 milliseconds?\nAnswer: 0.000142327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = -3*j. Is 1*(-2 - j - -210) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1762, -3135, -4504, -5869, -7230, -8587, -9940?\n\"Answer: 2*g**2 - 1379*g - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1850e3 (base 15) to base 16.\nAnswer: 120717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r + 4. What is m(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10029, 19622, 28775, 37488, 45761?\n\"Answer: -220*v**2 + 10253*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 391.4662 tonnes?\nAnswer: 391466.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10153527 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17747 or -17854?\nAnswer: -17854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/7 and 32\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-110)\/25)\/((-8)\/(-100)). Which is bigger: r or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 787 - 206. What are the prime factors of m?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 3*f**3 + 2*f**3 - 3 - 191*f + f**3.\nAnswer: 2*f**3 - 191*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128988008 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) -1\/17851 (d) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 n when three letters picked without replacement from {n: 2, f: 1, e: 2, y: 2, c: 4, p: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, f: 1, p: 4, g: 2, x: 1}. What is prob of sequence gpip?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -61*r**7\/210 + r**5\/20 - 211*r**3\/6 + 229*r**2. Find the first derivative of j(f) wrt f.\nAnswer: -244*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 718\/38 + (-110)\/(-1045). Solve -13 = d*j - 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w - 12. Let p(g) be the second derivative of -g**3\/2 - 3254*g. Calculate p(d(h)).\nAnswer: -36*h + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4 + 8. Suppose 7*j = -16 + 30. Let f be 121\/(-33) - (-1)\/(-3). Put 3, f, j, g in increasing order.\nAnswer: f, j, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 50 != 367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*j + 5989 = 0, -2*j + 4921 = -4*o + 12863. Suppose -40*b + o = -33*b. What is the units digit of (b\/6)\/((-3)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12695 (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-740)\/15*(-10 - (-4)\/4). Suppose 0 = 74*q - 70*q + o. Let w = q + 189. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:31 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -40. Let g(j) = j**3 + 4*j**2 - 6*j + 6. Let s be g(-5). Put s, 1, l in decreasing order.\nAnswer: s, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:04 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63038 less than 4?\nAnswer: 4.63038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143)*-1 + sqrt(143))*4 + 2*2*sqrt(143))\/(-5*3*sqrt(66)\/sqrt(6)))**2.\nAnswer: 208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 - -2.84. Let p = 0 - 0.5. Let x = -0.6 - p. Which is the closest to x? (a) g (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 607*x - 4259. Give k(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/28)\/(38\/76).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 585683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170*r + 992*r + 257*r + 559*r)*(4*r + 5 - 5) as s + j*r + z*r**2 and give z.\nAnswer: 6552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 121. Let o = 3 + -2. Sort -4, c, o in increasing order.\nAnswer: -4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81788 times -0.5\nAnswer: 40894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 20, 3*t - 78 = 3*m - 54 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**3\/3 + 606*l**2 - 39260*l - 33800\/3.\nAnswer: -(l - 130)**2*(7*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cecc when four letters picked without replacement from cceecceecccecccccee.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18544 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100*o + 100*o + 176*o**3)*(33 - 17 + 97) in the form x*o**2 + q + v*o + h*o**3 and give h.\nAnswer: 19888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*w = -47*w - 1464380. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g**2 - 185*g**2 + 104*g**2)*(25 - 12 - 21)*(-g - g + 5*g).\nAnswer: 2328*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*g**2 - 93*g**2 + 48*g**2 - 8*g**4 + 19*g wrt g?\nAnswer: -96*g**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, -0.2, -13.45?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5382877.\nAnswer: 1783, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 9*9\/6*-2. What is the first derivative of x + 32*x**2 - x - i*x**2 - 5 wrt x?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)\/o**6)\/(o*(o**(-8)*o)\/o*o*o**(6\/7)))**36 assuming o is positive.\nAnswer: o**(-1224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301 and 1601707.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1\/3, -3, 8\/13, 16.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10076958.91 and -8.\nAnswer: 10076950.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/60 - 11\/12. Let k = -1.5 - -2. What is the third smallest value in 2, l, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.83+53209\nAnswer: 53210.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/21 in -0.3, -2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*y - 3*y + 2*y - 5*y + 4*y + 2*y + (y + 2*y - y)*(1 + 1 + 0) - 3*y + 0*y + y + 5*y + 9*y - 2 - 5*y.\nAnswer: 11*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 588016771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let q(c) = -2655*c - 766*c + 5 - 5 - 497*c. Calculate q(d(x)).\nAnswer: 3918*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -86800?\nAnswer: -86802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -4*t - 109 + 230. Let a(r) be the first derivative of 0*r - 1\/2*r**t + 7. Give a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*j - 0*j. Let b = j + -4. Suppose 0*g + b*g = -3*h, -3*g + h = -4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 8138792*n**2\/5 + 65110432*n\/5 - 130220928\/5.\nAnswer: -2*(n - 4)**2*(n + 4069404)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 + q**4 - q**3)*(0 + 0 + 1) + 2549 + 23*q**4 - 2549 to g + c*q**3 + t*q**4 + o*q + h*q**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 207576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/8 + 15*v\/8 + 3\/2 = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 1:34 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 88 = 8*k. What is the remainder when 84 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l = -12*l + 15*l + 2898 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*b + 508, 6 = 3*b + 15. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 + -2.2. Let n = -57 - -61. Sort -0.05, n, m, 5 in descending order.\nAnswer: 5, n, m, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919643174?\nAnswer: 2, 53, 8675879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 27*c**2 - 8*c - 23. List the prime factors of m(13).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(50) + sqrt(50)*-3*-1)\/(4*sqrt(160) + sqrt(10) - sqrt(10)).\nAnswer: -5 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 5:43 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 6*x - 8*x = -10*x - 231 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -95*p. Let c be l(1). Let i be c\/15 - -6 - 10\/(-3). Suppose 2*y - 4*r = -0*y + 30, -140 = -5*y - i*r. Solve -q = 4*q + y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r = 2. Let j be 13\/r + (-1)\/(-2). Is 2\/(-6)*j*1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -392, -695, -1050, -1475, -1988, -2607, -3350?\nAnswer: -4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 77658.054 rounded to the nearest one hundred?\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -599 (base 12) in base 10?\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -6870 (c) 6 (d) 0.2 (e) 2\/13 (f) 1 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679 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: Let o = -56 + 60. What is n in -134*n - 48 + 8*n**3 + 12*n**4 + 8*n**o - 32*n - 140*n**2 - 10*n = 0?\nAnswer: -2, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 30.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -519*x + 11*x + 101*x - 107*x - 250*x as w*x + o and give w.\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 h when three letters picked without replacement from hhhhhehhhhs.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77\/5 + -967\/80. Suppose 4*g + 18 = -14. Find the common denominator of (2\/g)\/(18\/236) and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - u + 3. What is l(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 441, -1161 in descending order.\nAnswer: 441, 61, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -2.3. Sort 5, 4, s, -2\/11 in ascending order.\nAnswer: s, -2\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2699674357 rounded to five decimal places?\nAnswer: -0.26997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4927 + -1.64. What is l rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7)\/392*-7994)\/(2\/88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -13. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28883\/144 - -1754\/9. Let b be (1\/3)\/((-2)\/(-12)). What is the common denominator of d and (-218)\/24*b\/(-3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*f + 75, -2*f + 24 = l. What is the highest common factor of 4690 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*o**2\/4 - 259*o - 1369.\nAnswer: -(7*o + 74)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(153) + (-2 + 1 + sqrt(17) - sqrt(17)) + 2)*5)**2*-1.\nAnswer: -137725 - 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 13. Calculate the remainder when 135 is divided by (-910)\/v + (-4)\/10.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = 2*s. What is the derivative of 4*i**4 - 2 - 3*i**4 + s + 0 wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 75604998 from -3051.\nAnswer: -75608049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*d**5 + 2*d**5 - 3*d**5 - 32*d**2 - 12*d**2 wrt d.\nAnswer: -720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -15 + 0 - (1 + -10 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6203\/7 smaller than -0.475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24468 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -4. Let m = k + -1. Suppose h = 4*h - m*s - 54, -3*s - 83 = -4*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425040 by 805.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 532, 5 in ascending order.\nAnswer: 5, 25, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059912 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43908.7301 rounded to the nearest 10?\nAnswer: 43910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122841 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(21\/4))\/(p\/(p\/p**(-25))))\/((p\/(p**15\/p))\/p)**(-13) assuming p is positive.\nAnswer: p**(-645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m + 3*m)*(2 - 1 + 3)*(17 + 12 - 33 + 16*m) in the form n + k*m**2 + z*m and give k.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2 + 5)*(-21*u + 26 + 19*u + 21) as f*u + s and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1084, -2168, -3252?\nAnswer: -4336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-18)*(-1272)\/1060. Let m = 4 - 4.4. What is the second smallest value in m, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298408 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 30. What is the lowest common multiple of r and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 11*c + 5. Let x be t(-11). Suppose 3*h + 2 + 22 = 3*d, x*h = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -35, -34, -33, -32, -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3565 - 1706. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3408 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 0, -5 in increasing order.\nAnswer: -5, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m + 10. Let b be z(-7). What is the third derivative of 4*r**2 + r**4 + r**4 - b*r**4 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -107*g - 33 + 11 + 22. Let c(w) = 18*w. Determine c(o(r)).\nAnswer: -1926*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let k(j) = -j**3 - 17*j**2 - 17*j - 8. Let r be k(-16). Let l be -6*((-26)\/r + 3). Which is the biggest value? (a) m (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/60*6 + 15\/6. Suppose -2*r + 4*r - 40 = -5*v, 0 = 2*r - 2*v - 12. Solve 4*z = -u*w + r, -2*z - 5*w = -0*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 p when three letters picked without replacement from pnnpnnnnnneznn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 4*m - 4. Let o be d(4). Let j(i) be the first derivative of -i**4\/4 - 4*i**3\/3 + 5*i - 21. Calculate j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c - 82. Let y be t(0). Is (-3 - y\/(-8))*-48 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:54 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1137 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12d3 (base 15) to base 8.\nAnswer: 7667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9822020 from 364247.\nAnswer: -9457773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11398*t = -11260*t - 7728 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b = 6. Suppose 97*a = 98*a + b. Let y(c) be the first derivative of -c**4\/2 - 2*c**3\/3 + c**2\/2 + c + 1. What is y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 13*u**2 - 17*u + 13. Let b be n(11). Let c = b + -73. Put -3, c, 1, 2 in descending order.\nAnswer: 2, 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1964, 1962, 1960, 1958, 1956?\nAnswer: 1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/13*(452\/(-1356))\/((28\/3)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13984 + 377509\/27. Let i be ((-106666)\/(-42)*-2)\/((-2)\/(-9)). Let k = i + 548479\/24. Find the common denominator of k and p.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76, 427, 1310, 2989, 5728?\n\"Answer: 44*h**3 + 2*h**2 + 37*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 3 (b) 2\/23 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:10 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -38?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 20, 4*y - 25 = 5*n + 3. Suppose 0 = 4*p - 0*p - 100. Calculate the remainder when p is divided by (1 + 0)*(21 - y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, -2\/71, 13\/27 in descending order.\nAnswer: 2, 13\/27, 2\/7, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11646 from -1.\nAnswer: -0.88354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 555*y - 7200.\nAnswer: -5*(y + 15)*(y + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*d**2*p**2*y**2 - d**2*y - 13746*d*y - 44463*p**2*y**2 + 17*p**2 wrt y?\nAnswer: -74*d**2*p**2 - 88926*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = c + 63. Let g = c - -1668\/11. Let u = -3\/92 - 120\/23. Calculate the common denominator of g and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {l: 1, p: 2, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -1.66678597\nAnswer: -29.66678597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 l, and 1 i when four letters picked without replacement from eybyboillleye.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17955507 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -80. Suppose -11 = -2*j - l. Suppose j*v = 3*p + 3*v - 64, 5*v - 94 = -3*p. Calculate the smallest common multiple of p and 5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (81\/(-42) - -2)*2. What is the second smallest value in g, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2 + 5*t - t + (-4 - 1 - 2)*(30718 - 743*t - 30718) to the form u + a*t and give a.\nAnswer: 5203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 - 3*x + 111. Let s(c) = -2*c**2 - 2*c + 56. Let f(v) = -5*s(v) + 3*u(v). Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70379719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -935.361?\nAnswer: -940.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4702 or -973?\nAnswer: 4702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4406, -14783, -31116, -53405, -81650, -115851, -156008?\n\"Answer: -2978*z**2 - 1443*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 - 3*k. Let n(v) = 3*v - 9. Let g be n(0). Let f be ((-18)\/4)\/(g\/(-12)). What is the least common multiple of 18 and u(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28782 - -42699. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14313546.\nAnswer: 2, 3, 13, 61169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/536?\nAnswer: -1\/536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(612) - (sqrt(17) + (sqrt(204) + -1*sqrt(204) + sqrt(204))\/sqrt(12)) - (-2 + sqrt(1377) + 0)) + -3)**2.\nAnswer: 20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -157473.0922 rounded to the nearest one thousand?\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(0*q - 2*q + 0*q) - 6*q + 3*q + 2*q - 5*q + 0*q + 3*q)*(7 - 7 - 9*q**2).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 391 (b) 0.1 (c) -374689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/(-270) + 4\/12. Let t = k + -721\/135. What is the common denominator of t and 17\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124598.276*1.\nAnswer: 124598.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, 7, 3 in increasing order.\nAnswer: -16, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.8599495\nAnswer: 0.3439798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2\/5*y**5 + 3\/2*y**4 - 15*y**2 + 6 - 36*y + 14\/3*y**3. Factor t(m).\nAnswer: -2*(m - 3)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s + 317*s**2 + 295*s**2 + 18*s - 43*s.\nAnswer: 612*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*z + 5*h - 3*h, 2*z - 46 = h. Calculate the remainder when 94 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -10 - ((25 - 4) + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = -f + 93, 15 = 5*f. What is the remainder when 212 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 92*m + 2. Let x be v(1). Suppose -2*f - x + 250 = 2*i, 0 = -2*i + 2*f + 148. Suppose -h + 2*u - i = -3*h, 3*u = 3*h - 138. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 0 = 4*s. Let k(o) = -10*o + 33. Let i(v) = -3*v + 11. Let h(w) = -7*i(w) + 2*k(w). Let y(q) = q - 10. Let l(u) = -3*h(u) + 2*y(u). What is l(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:03 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 390407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 6. Let g be t(-6). Suppose 2*j - g - 82 = -4*m, 2*m - 2*j - 38 = 0. Let u = m + -18. Put u, 5, -3, 0 in descending order.\nAnswer: 5, u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 10*t - 5. Let l(r) = -9*r + 7*r + 1 + 4*r. Let z(p) = p**3 - 5*p**2 - p + 7. Let w be z(5). Give w*d(k) + 11*l(k).\nAnswer: -2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022478394 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8259, 5210, 2161?\n\"Answer: -3049*w + 11308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698781 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(320) + (sqrt(320)*2 - sqrt(320)) + sqrt(320)))\/(4*(sqrt(144) - (2*sqrt(144) - sqrt(144)) - sqrt(144))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25091*b + 4574399*b + 5451975*b + 1741247*b.\nAnswer: 11742530*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.177? (a) -4 (b) -43\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.85 - -13. Let r = b + -2.15. What is the closest to 0.1 in r, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v - 10. Let y(h) = 3*h + 1. Let a(f) = -d(f) - 4*y(f). Determine a(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3684, 3790, 3896, 4002, 4108?\n\"Answer: 106*z + 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 91.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let f(p) = -1778*p. Determine x(f(u)).\nAnswer: 6322568*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/2 - -3)\/(-1). Let q(d) = d**3 + 8*d**2 - 7*d + 20. Let i be q(-9). Let f(w) = 5*w + w**i - 16 + 3 + 9 + 9. What is f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 28 - 90 = -22*q. Solve y + 3 - 6 = t, -8 = q*t - 4*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 18?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = 43*q + 119 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45858 is divided by 5729?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3 - (4 + 2)) + 5 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587 + 585 + (-1 - -17) + -105 + -4.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4326*m**6 - 3*m**2 - m - 2?\nAnswer: -519120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from {d: 2, l: 4, p: 2, t: 3, v: 6}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -0.5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k + 5339 = -i, 3*k - 2*i + 4018 = 0. Let n = 11984\/9 + k. Find the common denominator of -43\/23 and n.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 2\/5 (c) -57 (d) 2 (e) -3\/2 (f) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - (14 - -19)) + -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -3, 5, -244 in ascending order.\nAnswer: -244, -3, 5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 500076763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03674741855 to 4 decimal places.\nAnswer: -0.0367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 196\/10 + (-4)\/(-10). Suppose 13*h - 16*h + 84 = 0. Suppose 30*b = h*b + 10. Solve -5*n + t = -b*g, n - g = 2*g + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-553)\/(-147) - 4)*4\/10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.16 and 270.1543.\nAnswer: 272.3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 + 72. Let p = j + 107.94. Let k = -1.04 + p. Which is the second biggest value? (a) 0.1 (b) 24 (c) k (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222975719.\nAnswer: 199, 1120481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 165804 = -8*v + 1403869. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-four fifths of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -4 - (-82)\/(-17). Sort -0.3, i, 1\/6 in descending order.\nAnswer: i, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6382 + 6369. Let t(d) = -8*d + 7. Let v(b) = 17*b - 15. Determine z*t(y) - 6*v(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08301081 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205 + 219. Factor -8 - 29*o + 3*o - 2*o**4 - w*o**3 + 83*o**2 - 113*o**2.\nAnswer: -2*(o + 1)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 88*l**2 + 33*l**2 + 1 + 56*l**2 + 0 to j + o*l**2 + m*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + (sqrt(833) + 1)**2 + sqrt(833) - sqrt(833) - (-1 + sqrt(833) + 5 - sqrt(833))**2).\nAnswer: 14*sqrt(17) + 814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 - 198004*l**2 - 3169408*l + 15845440 = 0.\nAnswer: -20, 4, 49517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-30)*4 - (-626)\/(-15). Let w = 128\/3 + l. Which is the nearest to 0.2? (a) 4 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 837898502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 3592*y + 29821. Calculate l(710).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44077753*-3.\nAnswer: 132233259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {b: 1, n: 3, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 65*g**2 + 428*g + 148. Give h(-71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3888 and 331680.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505579794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from ycyouyryyuuyr?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - 5*h + 2*h)*(5 - 4 + 0) - 4*h - 221*h + 43 - 39.\nAnswer: -234*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1699571 or 1699154?\nAnswer: 1699571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-41 - -16) - (2 - 13)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 - (-44)\/20. Suppose 328 = 3*i + 5*b, -s*i - b + 215 = -6. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36995622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + a = -5*y + 4, 0 = -y + 5*a - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + 4*l + 5*l - 3*l - 4*l - l - l + l + (2 + l - 2)*(4 - 3 - 3) + 0*l + 0*l - l - 1 + 1 + l)*(8*l**2 - 8*l**2 - 4*l**3).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -178*f**2 + 1780*f + 6. Calculate p(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*i - 19*i + 54 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 21 + -15 + -16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 15*u - 56. What is a(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/5 >= 16\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u**2 - 2*u. Let l = 1134 - 1161. Let h(w) = -105*w**2 - 27*w. What is l*z(d) + 2*h(d)?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, m: 4}. What is prob of picking 4 m?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42881778 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 759.8392 years in decades?\nAnswer: 75.98392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001243 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, o: 6}. Give prob of sequence oo.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7239 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 6, s: 5, v: 3, p: 1, n: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 * 675.\nAnswer: 58050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 q when four letters picked without replacement from xnxnqnxqqt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 160*n + 219 = -155*n, 4*n + 1037 = 5*c. Calculate the highest common factor of c and 1805.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4387*f**2 - 10308*f wrt f.\nAnswer: 8774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36434*l = -36417*l. Let q be 2*4*1\/(-22). Which is greater: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, 2, -46 in descending order.\nAnswer: 5, 3, 2, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, x: 1, n: 1, z: 1, c: 2}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 2*q - 4 - 3 + (1 + 3 - 1)*(-q - 2*q + 2*q + 80))*(-4 + q**3 + 4).\nAnswer: -q**4 + 192*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 + -291. Let x = 43 + n. Determine z, given that 4\/3*z**x + 16\/3*z**3 - 8\/3*z**2 + 12 - 16*z = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0. Let l = 37 - 36.5. Which is the nearest to 0.2? (a) g (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/30 + v**4\/6 - v**3 + v**2\/2 + v. Let a(q) be the first derivative of w(q). Suppose a(c) = 0. Calculate c.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -0.11\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 362 and 8.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1004 + 1280. What are the prime factors of f?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*y + 39 = 0, -2*p + 0*p + 3*y + 3 = 0. Let v(z) = -z**3 - 8*z**2 - 5*z + 16. Calculate the remainder when p is divided by v(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f - 9. Suppose -f*j + j = 2. Let i = -8 + 7. Is j >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -80731, -79218, -76695, -73162?\n\"Answer: 505*q**2 - 2*q - 81234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004 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: Convert 80528.448 hours to weeks.\nAnswer: 479.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-55)*((2 - (-639)\/(-12)) + 0\/(-15)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*85\/150 + 3\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5537 at least -5540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7413, -3, -19.8, -2\/11 in descending order.\nAnswer: 2\/7413, -2\/11, -3, -19.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 - 14*i - 13. Let l be d(-13). Suppose l = 28*g - 25*g - 18. Let a be (-6)\/(-4) + g\/4. Calculate the highest common factor of 24 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5 - 5 - 3*i + 2. Let j be k(1). Does j = 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(1573) + (1 + sqrt(1573) - sqrt(1573)))*6 - (-4 + (sqrt(1573) + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 0 + -1 + sqrt(1573))))*-4)**2.\nAnswer: -25376 - 308*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**3\/6 + 83555*n**2\/6 - 13925*n = 0.\nAnswer: 0, 1, 16710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 291. Let n = g - -499. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/60 + i**4\/24 - i**3\/3 + 18*i**2. Calculate l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 7\/90*c**6 - 5*c**2 - 2\/15*c**5 - 1\/63*c**7 + 1\/9*c**3 + 1\/18*c**4 + 0*c + 0. Factor h(a).\nAnswer: -2*(a - 1)**3*(5*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 974*z**3 - 4. Let g be q(2). Suppose -2*t = 1688 - g. What is t rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 587*a**4 + 1132*a + 6. Let r(g) = -1173*g**4 - 2263*g - 14. Let s(c) = 7*h(c) + 3*r(c). Find the second derivative of s(n) wrt n.\nAnswer: 7080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 15*c**2 + 18*c - 51. Let a be i(14). Let u(v) = 3*v**3 - 8*v**2 + 8*v. Let n(m) = -2*m**3 + 5*m**2 - 5*m. Calculate a*u(x) + 8*n(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {c: 1, y: 1, z: 7, l: 1, o: 3}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/3671616 and 19\/468.\nAnswer: 11014848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 2. Let l = -17 + 17. Sort l, 5, z in ascending order.\nAnswer: z, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 4 + 3*s**3 + 7.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 36. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-8))\/(2\/8) - -4. Solve -t = -0*w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276 (base 10) to base 11\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -12\/7, 0.34?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150425015 - 4?\nAnswer: -150425023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.5, 2\/7, -0.4, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 1096*w + 248752. Determine j(775).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/98*7\/2*-4. Sort -10, k, 5, 3 in decreasing order.\nAnswer: 5, k, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 47*a**3 - 9*a**2 + 8*a + 2. Suppose 0 = -56*m + 58*m - 4. What is the units digit of x(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1396 and 294776.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/30 + 1686*z**2. Let o(y) = -2*y - 5*y - 2*y. Give o(m(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let j(h) = -h**3 + 6*h**2 - h + 8. Let n be j(6). Let l = -95 + 1427\/15. Which is the nearest to -7? (a) p (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 987044\/13, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1621, -16260, -56937, -136672, -268485, -465396, -740425, -1106592?\nAnswer: -1576917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58, 134, 226, 340, 482?\n\"Answer: y**3 + 2*y**2 + 63*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -621604 divided by -2\nAnswer: 310802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 2*d, 2*d - 4*k = 4*d + 4. Let i(b) = b**3 + 3*b**2 - 6*b + 7. Is 5 a factor of i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 2716?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v + 1020 = -16*v - 28*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76\/15 + 27\/5. Let z(p) be the first derivative of 0*p**2 + 6 - q*p**3 + 0*p. Let o(w) = -8*w**2. Give z(o(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -2034a1?\nAnswer: 2034a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y - 132 = 63*y. Do y and -11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 42*u**2 - 3*u**3 + 2*u**3 + 134509*u - 134551*u + 39. Give t(41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-284))\/(4\/8). Do 1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 50?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4\/5))\/(p*p**4))\/(p**(3\/4)*p\/p**(-6)) assuming p is positive.\nAnswer: p**(-251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*c = -7*k + 67, 2*k - 5*c - 41 = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 3119 - 3227 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 - 5745585*q + 11491158 = 0?\nAnswer: 2, 1915193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**3*s**2 + 5*a**3 - 16*a**2*s**3 - 252*a**2*s + 5*a - 2*s**3 - 3*s**2 - 3*s wrt s.\nAnswer: 24*a**3 - 96*a**2*s - 12*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 54 and 26825 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11581 - -11667. What is the highest common divisor of 301 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476852075 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(3\/43)\/(n*n**(2\/3)*n)**(19\/5)*((n*n\/n**(1\/6))\/n**0)\/((n*n**(-1))\/(n*n\/(n\/(n*n**4*n)))) assuming n is positive.\nAnswer: n**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpddyyd. Give prob of sequence pdd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*s - 42, -2*s - 9 = s. Let w = 6 - x. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 - 107*t\/3.\nAnswer: -t*(t + 214)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3341*t**5 - 55*t**4 + 5*t**2 + 12651*t. Let l(r) = -2*r**5 - 11*r**4 + r**2 - r. Let n(u) = -j(u) + 5*l(u). Find the second derivative of n(g) wrt g.\nAnswer: -67020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 104 = 5*y, 5*y - 43 = -60*p + 57*p. What is the closest to 2 in p, 5, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1302125, -5208525, -11719191, -20834123, -32553321?\n\"Answer: -1302133*r**2 - r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.2 + 107. Let h = r - -16. What is the biggest value in -4, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.35101 and -0.2.\nAnswer: 0.270202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 293, 571, 839, 1097, 1345?\n\"Answer: -5*z**2 + 293*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5597 in 3\/7, 5, 0.5, 3\/71?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5626, -10332, -15038, -19744, -24450?\n\"Answer: -4706*l - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*n + 27*n - 428 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-984)\/1968)\/((-22)\/(-16)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1588 + 7205*v**2 - 7205*v**2 - 651*v**3 wrt v?\nAnswer: -1953*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -3. Let o(i) = -48*i + 2. Let f be o(l). Round f to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -2, 2, 0.5 in descending order.\nAnswer: 2, 0.5, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, -0.3, 4, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2704*m + 558*m - 1318*m + 384*m - 540*m as s*m + a and give s.\nAnswer: -3620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 1. Let u(h) = -7*h - 6*h**2 + 7 + 160*h**3 - 7*h**2 - 161*h**3. Let a(t) = 3*u(t) - 21*y(t). What is the third derivative of a(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**9\/60480 - m**8\/5040 + m**6\/180 + m**5\/12 + 6*m**2. Let q(f) be the third derivative of u(f). Determine q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84433 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*k + k + 63, -4*b - 12 = 0. Let r be (4 - k\/5)*30\/6. Let v = -7 + 11. Solve r*w = -0*w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 6:23 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = s + r - 61, 5*s = r + 347. Suppose -s*h = -71*h + 55. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -900 + 904. Solve -o = -5*o - 4*g + 24, -o - h*g = -21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lffttfffstfs. What is prob of sequence tftt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172 - 117. Suppose -5*q = 5*d - i, d + 4*q - 16 = 2*q. What is the smallest common multiple of 10 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**1*u))\/u)**16*u*u\/(u**(-3\/8)\/u)*u*u**(2\/7) assuming u is positive.\nAnswer: u**(-635\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/(0 - 2\/4). Let y be (q + 216\/(-40))*(-10)\/24. What is the third biggest value in 3, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227*a**3*m**3 + 16*a**3*m**2 - 3*a**3 wrt m.\nAnswer: 1362*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -6.028, -2, -0.4, -0.03 in descending order.\nAnswer: 2\/11, -0.03, -0.4, -2, -6.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 46. Let i be p(7). Let q = i - -188. Calculate the remainder when q is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let u(y) = -y**2 - y + 1. Let l be u(1). Let k = 5 - -1. Suppose -k*n + 2*n - 8 = 0. Let p(h) = -1. Determine l*p(c) + n*o(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/42 - a**6\/24 - a**5\/6 - 3*a**2. Find v, given that j(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -7*f + 184 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/56)\/(6\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 2*d. Let n = 4 - 1. Suppose v = 6*v + 10, q + n*v + 6 = 0. Let i be (q - 1)*(-27)\/9. What is p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 36719.\nAnswer: -3\/36719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**4\/2 - 398*y**3 - 118803*y**2 - 15761198*y + 655. Factor m(u).\nAnswer: -2*(u + 199)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2745 or -0.003?\nAnswer: -2745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from agaguguguu.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 4*t + 36 = -20*k, -3*k = t + 15. Let u(g) = -g**2 + 2*g + 5. What is u(k)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616528900 a multiple of 9550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20758 + -11436. Let l = k + -9335.958. Let g = -0.042 + l. Which is bigger: 0.2 or g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4521351 (base 6) to base 15\nAnswer: 47a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -a, a + 4*x = -5 + 1. Suppose 0*f - f = -a. Solve k = -3*k + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 4*q)*(-362 - 3*q - 414 + 474).\nAnswer: -6*q**2 - 604*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136058536 to the nearest integer?\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -145*c + 59*c + 92 + 81*c - 23. Determine l(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012284308 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (55 - (32 + 68)) + 49\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 196 = -3*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + 2*a**2 - 4*a - 4. Calculate n(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*m*q + 18*m + 680*q wrt m?\nAnswer: 10*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.75080604*5.\nAnswer: -13.7540302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 592*f + 555*f + 37*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:03 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -124284213 divided by -6?\nAnswer: 41428071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59644 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3726 = -13*n + 11*n + 3*b, -n + 1827 = 3*b. What is the remainder when n is divided by 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h*h**(-1\/5)))\/(h\/h**(-5)*h*h*h**(-2\/15))*((h\/h**4*h)\/(h**(1\/3)\/h))\/(h**6*h*(h**(-1\/7)*h)\/h) assuming h is positive.\nAnswer: h**(-139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*w + 6522 - 6541 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 8*m + 13. Let t be b(-9). Suppose -34 - 8 = -5*q - 3*u, -4*q + t*u = -40. What is the greatest common divisor of 36 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 166817 = 4*c, -8934 - 24423 = -q - 4*c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11928 divided by -6\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {g: 5, b: 3, w: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozzzz. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2190762629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187509, -375112, -562701, -750270, -937813, -1125324?\nAnswer: -1312797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 - 5*y - 51. Let k(r) = -3*r**2 + 3*r + 26. Suppose -5*s - 25 = -10*s. Let t(j) = s*k(j) + 3*i(j). Is t(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 9*y = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away -12808640974?\nAnswer: 12808640985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711648 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: Let s(a) = -5*a - 6. Let f(v) = 14*v + 17. Let d(k) = -6*f(k) - 17*s(k). Let h be 10\/35 - (-19)\/7. Let p(b) = -2*b - h*b + 3*b. Give p(d(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**18\/(p\/(p\/((p\/(p**3*p))\/p))*p))\/((p\/(p*p\/(p\/(p**(16\/5)*p))))\/(p\/((p*p\/(p**(1\/23)\/p)*p*p*p)\/p))) assuming p is positive.\nAnswer: p**(2443\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 3*j - 6. Let l(f) be the first derivative of 14*f**3\/3 + 4*f**2 - 17*f - 121. Let t = 7 + -3. Determine t*l(q) - 11*y(q).\nAnswer: q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 733244 + -0.17042.\nAnswer: 733243.82958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -546, -545, -544, -543, -542?\n\"Answer: b - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3289*z - 2491. Let c(v) = -6510*v - 4981. Let s(t) = -2*c(t) + 5*q(t). Differentiate s(w) with respect to w.\nAnswer: -3425","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52753.752ms to hours.\nAnswer: 0.01465382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/160*8\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((0 - 0) + -2). Let b(x) = x**3 - 2*x**2 - 2*x + 2. Let v(z) be the third derivative of -z**4\/24 + 3*z**2. Let l(o) = -b(o) + 3*v(o). What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 5)*(4*q + 2*q - 4*q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 47336205130 to the nearest one million.\nAnswer: 47336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.247 + 1.134. Let f = p - 0.081. Let h = -0.13 + 0.13. Sort f, h, -1\/3, -5 in decreasing order.\nAnswer: f, h, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -60 + 26\/3*j + 2\/3*j**2 = 0?\nAnswer: -18, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let t(r) be the first derivative of 4*r**3 + r**2 + 1. Let z(j) = -13*j**2 - 3*j. Let x(u) = 3*t(u) + 2*z(u). Calculate f(x(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -123. What is the closest to g in -0.1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*w)*(3*w**2 - 3*w**2 + 3*w**4).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 723343531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.66792 days?\nAnswer: 316908.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) 0.2 (c) -5869\/9 (d) 2\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70505020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*((-1*sqrt(364))\/sqrt(7) - sqrt(416)\/sqrt(72))\/((sqrt(100)\/sqrt(5)*3)\/sqrt(5))*-2)**2.\nAnswer: 20800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/15 + y**4\/12 - y**3\/6 + 8*y**2. Let m = -40 + 49. Suppose 16*n = m*n + 7. What is o(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13750 by -2750.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115048*t**3 + 115050*t**3 - 230097*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -20550 smaller than -20550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b - f, 3*b + 2*f - 28 + 3 = 0. What is the third derivative of 2*v**2 + 5*v**5 - v**5 + v**2 + v**b wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.032 + 26.968. Let l = 20 - r. Let y(z) = -z**2 + 3*z + 2. Let m be y(3). Which is the third biggest value? (a) -0.2 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0 - 12*f + 2*f**2 + 0*f**4 + 73\/6*f**3 - 68\/105*f**7 + 0*f**5 + 0*f**6. What is the first derivative of v(l) wrt l?\nAnswer: -544*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3073611 rounded to four decimal places?\nAnswer: -0.3074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) -2\/9 (c) -1 (d) -595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (sqrt(50) + sqrt(450) + -5)**2 - ((sqrt(800) + 1)**2 + 1)).\nAnswer: -240*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + x)*(0 - 1 + 0)*(39*x - 16*x + 44*x)*(-1 + 3 - 1)*(-1 - 4 + 4) in the form t + h*x + n*x**2 and give n.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7960064ml in litres?\nAnswer: 0.0007960064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221857 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 2*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 3. Let o = s - -8.14. What is o rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 + 2*h. Let d(x) be the first derivative of 5*x**2\/2 + 3. Determine d(g(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 3. Let s be (-4)\/(-10) - 28\/(-5). Let f be a(s). Which is smaller: f or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2998185?\nAnswer: 3, 5, 101, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11119537\/3 or -3706511?\nAnswer: -11119537\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/1813545 and -47\/10314.\nAnswer: 10881270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-881 - 37)\/9)\/6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by -4.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-17))\/c**(1\/43))\/(c**(-2\/41)\/c**(-12)) assuming c is positive.\nAnswer: c**(12386\/1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 3*u = 410 - 350, -44*q - u - 100 = -q + 4*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*h**2 - 3*h**2 - h**2) + (-3 - 2 + 6)*(13*h**2 - 12*h**2 - 36*h**2).\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t + 12. Let v(p) = 5*p - 6. Let g(i) = 4*n(i) + 7*v(i). Give g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 108 - 128 = 2*q, 5*x - 5*q - 390 = 0. What is the remainder when 470 is divided by x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(105)*-2*-3 + sqrt(105) + sqrt(105))\/sqrt(5))\/(-3*(sqrt(7) + -1*sqrt(7) - sqrt(7))*-6).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, i: 9}. Give prob of picking 1 i and 2 r.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(180) + 0 + 3)*3)**2.\nAnswer: -5103 - 972*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 47*b**2\/2 - 74*b + 61. Is 38 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxox when four letters picked without replacement from {o: 2, x: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + 49. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 904 - -896. What is the highest common divisor of 30 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 104\/20*20\/8. Solve 0 = -m + 1 - 4, -o = -4*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 w when four letters picked without replacement from {o: 3, z: 7, w: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 2:41 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194*p - 199680 = -2007*p + 180899 - 145323 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10683139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:39 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1519 and 99\/662284.\nAnswer: 662284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270 - 263. Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164881504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/9792 and -91\/440.\nAnswer: 538560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1942 - -2280. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2466558\nAnswer: -1\/822186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let k be (8\/15)\/(v\/(-10)). Which is the second biggest value? (a) -1 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 4*i)*(0 - 10 + 1)*(1 - 2*i - 1)*(4*i**3 + 15*i - 15*i).\nAnswer: 144*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.5572 weeks to milliseconds.\nAnswer: 371684194560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/8 + 618*l**3 - 771228*l**2 + 18243360*l - 108928800 = 0 for l.\nAnswer: 12, 2460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 68, 57, 32, -13, -84, -187?\n\"Answer: -h**3 + 2*h**2 - 2*h + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27*(-1224)\/9720)\/(3\/15).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2. Let s(g) = -841*g**2 + 783*g**2 + 25*g**2. Give s(w(f)).\nAnswer: -1188*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/((-24)\/(-18))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5263000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -44. Let l = o + 144. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6398789 litres?\nAnswer: 639.8789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275\/78 - -48\/13. What is the third smallest value in 0.3, x, -2\/11, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*y + 7096*y + 597*y.\nAnswer: 7956*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/69 and 35\/606.\nAnswer: 13938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:13 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 19 + 21 = 0. Suppose -9*u = 58 - 211. Calculate the remainder when (-1)\/(-5) + (-498)\/d is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 525 = 2007. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*k = -3*h + 15, -5*h - 4*k - 20 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -19*o**4 - 7*o**3 - 17. Let n(c) = -19*c**4 - 6*c**3 - 18. Let x(h) = 7*n(h) - 6*r(h). Differentiate x(t) wrt t.\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 27 = 22*g - 2*j, 3*j + 15 = 0. Solve g = 3*d + 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8127)\/14 - 3)*-2.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.4. Let o = 0.7 + -0.3. Let t = i - o. Which is the biggest value? (a) 1\/4 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158148 divided by -79074.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 4*u**2 - u - 2. Let n = -5 + 2. Let f be n*(21\/9 + -1). Let l be i(f). Put -2, l, 1 in decreasing order.\nAnswer: l, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 + 3*t - 4. Let f be o(-3). Suppose 0 = 16*x + 708 - 84. Let g = 75 + x. Solve 0*i - 2*i = -8, -f*u - 4*i = -g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96120 and 3285880.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 2*h**3 - 3*h**3 + 2*h**3 + 0*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 29*h**5\/60 - 11*h**2 + 30*h. Let j(m) be the first derivative of n(m). Let c(w) = w. Calculate j(c(l)).\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3071 to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 82 = -2*d, 140 = 4*d + 2*i. Calculate the remainder when 98 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41133, 41134, 41135?\nAnswer: 41136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15070 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -76.1206*5\nAnswer: -380.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -16. Find the third derivative of -4*b**2 + u*b**2 + 5*b**3 - 11*b**2 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 100271450?\nAnswer: 100271450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 5*j. Suppose 0 = 5*o + m + 5325002, j*o - 5324992 = 8*o - 4*m. Round o to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-30) - (12 + -12)\/(-10 - -12)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 39*q + 21. Let p(h) = 8*h + 4. Let n(z) = -24*p(z) + 5*y(z). Let o(t) = 5*t + 17. Determine 11*n(k) - 6*o(k).\nAnswer: 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -220\/3. What is the nearest to 0.1 in 0.5, y, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*p + 11*p - 648 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1224 + 12056.1224. Let n = 12048.3047 - a. Let v = 7.7 + n. Round v to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 188, 0.07, 5?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let i be c(3). Let x be ((-4)\/i)\/((-3)\/9). Is x < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**7\/18 - 61*x**6\/15 - 26*x**5\/15 - 66*x + 17. Factor b(h).\nAnswer: -h**3*(h + 52)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g = 20*g - 390. Which is the third smallest value? (a) g (b) 14 (c) -26\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*5*(-3)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + (3*sqrt(1701) - sqrt(1701)) + sqrt(1701) + sqrt(1701))\/sqrt(7) + 4 - (sqrt(1008)\/sqrt(3))\/((sqrt(14)*1 + sqrt(14) - sqrt(14))\/sqrt(2)).\nAnswer: 4 + 41*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 3*p**3 - p**3 + (-p**2 + 2*p**2 - 3*p**2)*(4 - 4 - 2*p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 80*r + 1044. Determine s(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 24.33333.\nAnswer: 0.7299999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 74\/235?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2777, 2788, 2811, 2852, 2917, 3012, 3143, 3316?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.98. Let k = g - -2.98. Which is the second biggest value? (a) -0.4 (b) 1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304448 and 228336.\nAnswer: 913344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253131354763.56 + -253127637924.5600074. Let j = k + -3716840. Let m = -1 - j. Round m to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d4fe - -417?\nAnswer: 5d915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 46. Let d(n) = -8234087 + 107*n + 8234107 - n**2 - 86*n. Give d(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-4)\/(-3))\/((-48)\/(-1800)). Suppose -4*x - 32 = -8*x. Suppose 23*r - u*r = -x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 611 - 608.47. What is x rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3027 = -252*a + 1487 - 1484 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 - v. Let b(n) = -4*n**3 + n**2 - n + 8. Give -b(y) + 3*t(y).\nAnswer: y**3 + 2*y**2 - 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31834016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 238\/21)\/(29\/(4263\/14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 29. What is the remainder when 17 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66832613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.4 and 321238712.\nAnswer: 321238738.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -41341576.5053.\nAnswer: -41341576.5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95892 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (273505*t**2 + 3 - 277554*t**2 + 2 - 5)*(4*t - t + 0*t).\nAnswer: -12147*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193977 (base 11) to base 5.\nAnswer: -34013421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001001 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-216)\/1480 + -4 + 210\/50).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7041 + -66. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 1\/4 (c) -19.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efl when three letters picked without replacement from {l: 1, e: 1, o: 1, x: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -8*q. Suppose -3*r - 10 + 52 = q. Let b = r - -23. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 5*h - 14*h + 130069. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207119 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -5*d**8\/336 + 3*d**5\/20 - 9*d**2. What is the third derivative of l(f) wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84546 or -84665?\nAnswer: -84665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-66) - 304\/(-22). Suppose -5*c = -r - 1. Calculate the remainder when 32 is divided by c - -2*(-30)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -5, -4 in descending order.\nAnswer: 7, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + 1 - -9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 - 73*q - 753 - 57*q + 753 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5333 divided by 5?\nAnswer: 5333\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3, 0.6, 1, 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(117)*-1 - (sqrt(117)*-2)**2*-6)*-4 - ((-1 + -4*sqrt(117))**2 + 4 + -3).\nAnswer: -13106 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/12)\/(2\/3). Solve -4*p + 5*p = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/1 + 21\/7. Let q be (-2 - -6 - 3)\/j. Solve k + 1 = -q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/11)\/w)**(1\/47))**(-5\/6) assuming w is positive.\nAnswer: w**(5\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3648 and 5\/725952.\nAnswer: 725952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let j be u(3). Let a be 1*j\/9*-6. Solve a*k + 2 = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2945, -5 in increasing order.\nAnswer: -5, -3, 2945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684)*4)**2 + ((sqrt(38)*3 + sqrt(38))\/sqrt(2))**2 + -4.\nAnswer: 17400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*v**2 - 434515*v + 217295*v - v**3 + 215409*v wrt v.\nAnswer: -6*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/154688 and 55\/18?\nAnswer: 1392192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -s - 2*f + 4*f, -3*s = f - 1097. Suppose -1615 + s = -26*n. What is the least common multiple of 30 and n?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:02 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1936490 to the nearest ten thousand.\nAnswer: -1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*b + 253*b - 172 = 628 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6836.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 446 - 778. Let i be u\/(-16) + 2\/8. Suppose -4*x - 1 + i = 0. What is the highest common divisor of x and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200220211010 - 1012?\nAnswer: 200220202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 346, 266, 174, 70, -46?\n\"Answer: -6*u**2 - 62*u + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, -19, -2, 3 in descending order.\nAnswer: 3, -1, -2, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13431 - p + 13229 + 3*p.\nAnswer: 2*p - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 7*t - 4. Let s be l(6). Let v(f) = 37 + s*f - 37. Let n(i) = -18*i**2. Calculate v(n(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3\/((-6)\/(-38)). Let x be (((-96)\/(-20))\/(-2))\/(36\/(-2280)). Calculate the greatest common factor of x and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Suppose -o + 11*z - 16*z + 14 = 0, 1 = -4*o - z. Let q(d) = d**2 + 13*d + 3. Determine o*q(x) + 4*l(x).\nAnswer: -x**2 - 17*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5027 - (-17)\/((-119)\/84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005856128 rounded to seven decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 941305 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1106 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -4*q - 152. Let y = q + 132. Let b be 100\/y - 2 - 1062\/(-33). Calculate the greatest common factor of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/33 + 8\/11. Suppose -3*i - 2*i = p + 16, 2*i = -6. Let f be (p\/6)\/((-4)\/6). What is the nearest to f in 0.5, -2, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1907.5162 and 337?\nAnswer: 2244.5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) -2\/7 (c) -153 (d) -0.063 (e) -0.6 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4\/7 - 24*n**3\/7 + 32*n**2\/7 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022533019 to 7 decimal places.\nAnswer: -0.0002253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28296278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 6. Let j be v(-3). Solve 0 = -j*n - 4 - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1)*(-193*o + 15*o + 87*o - 1).\nAnswer: -364*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wapv when four letters picked without replacement from qwvpa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25230423 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -122, -126, -130, -134, -138, -142?\n\"Answer: -4*o - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 2*q**2 - 4*q**2 + (0 + 2 - 1)*(-q**2 + 4*q**2 + 3*q**2) + (1 + 2 - 2)*(2*q + 2*q**2 - 2*q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(-5 + (sqrt(1539) - (1*sqrt(1539) + 1))) + 2)**2*-3.\nAnswer: -7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 459394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 54, 96, 144, 198, 258?\n\"Answer: 3*f**2 + 27*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147.671t to micrograms.\nAnswer: 147671000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-106)\/(-4))\/((-20)\/(-520)). Let h = 54 - 1. Calculate the highest common divisor of h and r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132101133 - 20111?\nAnswer: 132021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 3*x**2 - 10*x + 5. Suppose 9 + 9 = -3*p. What is the remainder when h(p) is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(0 - 15\/(-100)). Which is bigger: n or -21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7473470 divided by -5\nAnswer: 1494694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/3, -11\/8, 40, 2\/9, -4 in decreasing order.\nAnswer: 40, 2\/9, -4\/3, -11\/8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5296*g + 20653. What is i(-4)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4436838 + 6720607. Suppose 0 = 5*f - 3*p + 21500006, 19483773 - y = -4*f + 2*p. What is f rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -7*g**4\/12 - 3*g. Let n(d) be the second derivative of -d**3\/2 + 5*d. What is l(n(v))?\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/((-27)\/(-446)) + 4\/6. Let l = b - -228. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -427c32 (base 13) to base 8.\nAnswer: -5746276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 334 - 156 = 0. Calculate the common denominator of ((-237)\/72)\/((-3)\/9) and y\/8 + -2 - 1\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3742606339.\nAnswer: 19, 29, 1297, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**3)**3\/(u*u\/(u*u**(-2\/13)\/u)*u**(-8)) assuming u is positive.\nAnswer: u**(232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 - -1 - -1). Let x be 0*(w - (-1)\/2). Solve x*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151329464.\nAnswer: 2, 11, 13, 179, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/4? (a) -3 (b) 5 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 times 4?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0.59, 2, -101 in decreasing order.\nAnswer: 5, 4, 2, 0.59, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-3490)\/(-1000) - -28?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = -24. Let m(d) = d**3 - 6*d**2 + 4*d + 19. Is m(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -234.\nAnswer: -7\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3)\/3*9. Let j = u - 2. Suppose -j = -g - 6. Solve 4*y + g = 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 3, -1.2, 2.3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108542395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11688 = -462*o + 10302 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, 71, 0.09?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 7*k**2 + 8*k + 5. Let l be s(-8). Let y = 29 + -12. Suppose -l*v = -52 + y. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**4 - 3*d**4 - 2*d**4 + (-107 + 107 + 12*d**2)*(-3*d**2 + 5*d**2 + 0*d**2) as j*d + l + w*d**4 + s*d**3 + q*d**2 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 657 (base 12) to base 4\nAnswer: 32203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 81*n**3 - 708*n**2 + 2016*n.\nAnswer: -3*n*(n - 12)*(n - 8)*(n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**2. Let o(c) = -16596*c**2. What is o(l(t))?\nAnswer: -597456*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*d = 190*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 135711 * -16\nAnswer: -2171376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 474*o**2. Let a(x) = 3*x**2. Calculate a(v(z)).\nAnswer: 674028*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -15, -445, 18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p = -86*p + 59*p - 304 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*y + 15*y - 4*y**5 + y**4 - y**4 - y**5 + (0 + 0 + 2*y**2)*(y - y - y**3) + 2*y**3 - 2*y**3 - 2*y**5.\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 1770*f**2 - 208860*f - 8215160.\nAnswer: -5*(f + 118)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 130*l**4 - 120*l**3 + 130*l**2 + 125*l = 0. Calculate l.\nAnswer: -25, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/6 + o. Let b(x) = 2*x + 45. Let h be b(-20). Let q(m) = m**2 - 24*m - h*m**2 + 24*m. Calculate n(q(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61356\/1360058*2\/((-4)\/14).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(704))*-1)**2 - (sqrt(1584)*3*-6 + sqrt(1584))**2.\nAnswer: -457071 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 21724*z + 130323. Determine i(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 211, 297?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 18. Calculate the highest common factor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6*n**4 + 5*n - 1 - 8*n**4 + 13*n**4 - 2*n**3 to the form a + f*n**2 + x*n**3 + k*n + q*n**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 - c**2. Let b(d) = d**2 + 2*d + 3. Let j(k) = -2*k**2 - 3*k - 4. Let v(f) = 3*b(f) + 2*j(f). Let n be v(0). What is a(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + -2 + sqrt(108))**2*4 - 4*(-3 + sqrt(108) + 0)) + 1 + 5.\nAnswer: 24*sqrt(3) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2 + 7. Suppose y*q = 6*q - 4. Let q*a**5 + 78*a**4 - 78*a**4 - 12*a**3 - 8*a**2 = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106115321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 9620470*r + 48102352\/5.\nAnswer: -2*(r - 24051176)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -8, 181, 370, 559?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334511.\nAnswer: 334511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - x + 4. Let i(u) be the third derivative of 0 + 0*u**4 + 0*u + 4*u**2 + 1\/60*u**5 - 1\/6*u**3. Determine -7*i(r) - 2*y(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1139462*l**2 + 636110?\nAnswer: -2278924*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 5*u**2 + 3*u + 3. Let q be x(5). Let z(y) = -y**3 + 21*y**2 - y - 22. Let d be z(q). Round d to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178744215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0917 + 0.3083. Let m = 2 + -1.5. Put m, 0.3, j in increasing order.\nAnswer: 0.3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -7907.\nAnswer: -142326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47.16439 decades?\nAnswer: 5659.7268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20567, -82561, -185889, -330545, -516523?\n\"Answer: j**3 - 20673*j**2 + 18*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (812\/(-174))\/(((-4)\/(-3))\/(100066\/(-1))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/16)\/(2\/(-4)). Let t be 2\/w*(-10 + 4). What is the third derivative of -t*i**3 + 2*i**2 + 2*i**3 + 4*i**2 - 2*i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 41 + 40. Calculate the remainder when (172\/8)\/((-22)\/(-44)) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3239 - 885 = 22*w. Suppose 0*r - 100 = 4*r. Let c = w + r. Is c 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 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s. Let o be i(-4). Let d(g) = -4*g + 30. Let q be d(9). Let t = o + q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 437\/88 - 39\/8. Which is the smallest value? (a) l (b) -27\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-8)\/(-6))\/2)\/((-10)\/(-30)). List the prime factors of -3*202*s\/(-8)*2.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1519, -3039, -4559, -6079?\nAnswer: -7599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(120\/(-16) + 5 - 8\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/10)\/(2 + (-18)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.806065 millennia?\nAnswer: 580.6065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 133*n**2. Let g(q) = -41*q**2. Give g(i(d)).\nAnswer: -725249*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*g + 3*g - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-100)\/180).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -250.2533?\nAnswer: -248.2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -450344149 + 88?\nAnswer: -450344061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -109*h**3 - 980*h**2 - 185*h - 1825. Give j(-9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o + 10 = -76*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 24*n - 58 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 - 7) + (370 - 369)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15052*z - 15001*z + 850 + 7004 for z.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/40)\/(1\/(-15)). Suppose f*t - 57 = -12. What is the smallest common multiple of 3\/((54\/15)\/6) and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54414360.2 - -0.2?\nAnswer: -54414360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0.4, -5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 6*n + 3*n)*(-2*n + 3*n + 3*n).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r*t**2 + 2811*r*t - 4*r - 5691*t**3 - 4*t wrt t.\nAnswer: 14*r - 34146*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qou when three letters picked without replacement from {m: 1, u: 1, o: 3, q: 1, j: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1070 + 1069.5. Which is the second biggest value? (a) -0.2 (b) 4\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -3)\/((-10)\/(-28)). Let t = -86\/15 - g. Which is the nearest to 0? (a) -5 (b) t (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let f(u) be the second derivative of 0 - 5*u + 0*u**2 - 1\/6*u**3. Determine k(f(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 3*u - 2*r - 13 = -11*u, -3*u + 31*r = -220 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -19, 2993?\nAnswer: 2993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -381292731 divided by -1?\nAnswer: 381292731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.345953l to millilitres.\nAnswer: 345.953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(150)\/sqrt(160))\/(-4*sqrt(48)).\nAnswer: -1 - sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -248, -202, -156?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -48*b. Let a(x) be the third derivative of x**5\/12 + 2268*x**2. Calculate a(p(f)).\nAnswer: 11520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*t + 4441 + 51039. Let w be (-1 - 1)*(-198)\/(-4). Let q = w + t. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 11438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(44)\/sqrt(4) + sqrt(11)) + sqrt(11) + sqrt(99)*-5.\nAnswer: -22*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*3\/(27\/(-3)). Let a = -1.3 + -1.9. Let r = -3 - a. What is the third smallest value in -2, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953978 is divided by 190794.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.7 - 16. Which is the third smallest value? (a) -1 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 53, 90, 131, 176?\n\"Answer: 2*d**2 + 27*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 12) to base 2\nAnswer: 1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 358584*j**3 - 1555718 with respect to j.\nAnswer: 1075752*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2327*i - 2320*i - 2782619. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:22 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 127*h. Let k(g) = 9*g + 4. Determine d(k(n)).\nAnswer: 1143*n + 508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-17)*i*i\/(i*i**(2\/13)*i*i) assuming i is positive.\nAnswer: i**(-236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d - 4. What is the units digit of u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2184 + -8657\/4. What is the common denominator of h and 97\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -4\/2251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-14580)\/75)*9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8091841363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10272.9 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747617 is divided by 74760.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3876431748.\nAnswer: 2, 3, 7, 6592571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -33. Which is the closest to 0.03? (a) -0.5 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/38561 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:21 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3 = 51. Let n(v) = -v**3 + 9*v**2 - 7*v - 8. Let p be n(8). Suppose -2*i + q = -3*q - 28, -3*q - g = p. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/67 at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 538539941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17843702.\nAnswer: 2, 137, 65123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 7*h**2 - 19*h + 48. Let p be i(5). Solve 2*b = 6*b + p*x - 19, -8 = -3*b - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w - 1. Let k = 6 + -12. Let d = 6 + k. Let o = 2 - d. Give r(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -13. Let j be (-42)\/v + (-6)\/(-8). Suppose -m - j = -3*b, 0 = 3*m - 2*m + b - 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 third smallest value in 13\/4, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 480 + -337. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969364171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16443 and 319464.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0332 + 7.9668. Which is the closest to z? (a) -0.5 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13604?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t + 60. Let q(r) = 2*r - 1. What is 2*q(v) - z(v)?\nAnswer: -v - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448\/1904*238\/(-84).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*z = -2, s + 11 = -4*z - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17858936 divided by -1604?\nAnswer: 11134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 393901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 15775*p**3\/3 + 3*p**2\/2 + 6*p - 3. Let y be s(-4). Suppose 3*w = 107606 + y. Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.042 + -47.958. Let n = x + 61. Let p = n - 11. Which is the third biggest value? (a) -5 (b) p (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74252?\nAnswer: 2, 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -93*o**2 - 23. Let x(i) = -481*i - 14. What is x(r(z))?\nAnswer: 44733*z**2 + 11049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 7 + c**3 - c**2 + 15 to the form k*c**2 + r + y*c + g*c**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1458082.000215 - 1458089. Let n = 7 + m. What is n rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 + 6 - (11 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Suppose 0 = -i*f + f - 45. Let g = f + 54. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-4)\/10)*2. Suppose 0 = -4*i + 5*w + 1, -2*i + 18 = -c*w + 5. Let o be ((-6)\/45)\/((-4)\/i). What is the second smallest value in -0.3, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvvvcvpvcvqcdcqcpcc. Give prob of sequence dp.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-303)\/(-808) - (-189)\/(-24))\/(-2)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 7. Let f(l) = -l**2 - 7*l - 7. What is -2*f(x) + 3*g(x)?\nAnswer: 2*x**2 - 4*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -25. Let i(o) be the third derivative of -o**4\/24 - 5*o**3\/6 + o**2. Let r be i(g). Put 0.3, r, -3 in increasing order.\nAnswer: -3, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.3. Let o = -0.2 + v. Suppose -i - 3*i - 23 = 3*z, 0 = -i + 2*z - 3. Which is the closest to o? (a) -1 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2439*k - 9*k**2 + 367*k - 2851*k.\nAnswer: -9*k**2 - 45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(1134\/60) + 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 + 292*i**3\/5 - 294*i**2\/5 - 292*i\/5 + 293\/5.\nAnswer: (i - 1)**2*(i + 1)*(i + 293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17904541 + -11?\nAnswer: -17904552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34690 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -2*u. Let d(z) = 3*z + 24. Let i be d(u). Is (2\/i)\/(14\/(-17514)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23755, -47513, -71277, -95047, -118823?\nAnswer: -142605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6))**(-37)\/(((j*j**(-9)\/j*j)\/j)\/j**2) assuming j is positive.\nAnswer: j**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*p - 2 + 222*p + 21*p**2 to n*p + x + v*p**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) - (-44)\/(-99). Which is the nearest to s? (a) 3 (b) 7 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 65. Solve 0 = k - d*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = -513 + 1176. Let o be ((-1)\/3)\/(1\/(-39)). Calculate the greatest common divisor of d and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 125. What is the remainder when t is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 5*b - 0*b - 3*m, 4*b + m = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/4*(-2080)\/40. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*x**2 + 520\/3*x + 2\/3*x**3 - 248.\nAnswer: 2*(x - 31)*(x - 6)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130652 (base 15) to base 3.\nAnswer: 1201100221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 3*v**8\/28 - v**7\/6 + 13*v**4\/3 - 234*v. Find the third derivative of i(n) wrt n.\nAnswer: 720*n**3 - 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*2\/(-15)*3 + -17. Let u = -9 - a. Solve -2*o + q - 4 = 3*q, -3*o = -3*q + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 1\/((-4)\/8). Suppose -6*o + i = -10. Let h(m) = 9*m**3 - m**2. Let s be h(1). Solve -3*x - 25 = -s*x + 2*c, o*x - 15 = 5*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55026933.\nAnswer: 3, 13, 1410947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)\/((-3)\/15). Suppose w*x - 15 = 10. Solve -x*l = -4 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -n + 13 - 14, -39 = -5*n + 3*k. Solve -6 = 7*g - n*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose 0 = -5*x + 16 + o. Let d = 4 + 0. Calculate the highest common divisor of d and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1733.\nAnswer: -2\/1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -736922 equal to -736922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 9*w**2 + 16*w - 6. Let n be o(-7). Let q = 24 + n. Solve -4*j - 29 = 5*h - 4, -j - 9 = q*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let i(g) = -3*g + 49. Let z(v) = -i(v) + 6*k(v). Let w be z(-17). Solve -6 = -d - w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 5) to base 7\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*o - 1 + 7*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(l**2 - 4*l**2 + 5*l**2) - 2*l**2 + 6*l**2 - 3*l**2 - 144*l**2 + 103*l - 33*l**2 - 105*l.\nAnswer: -174*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 3*f + 22. What is the least common multiple of o(0) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-3 - -5) + -19. What is the tens digit of (8\/r)\/((-1)\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-20\/3))\/(t\/(t*t\/(t**10*t*t)*t))*(t**(-3\/8)*t)**(2\/83) assuming t is positive.\nAnswer: t**(-15589\/996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/65 and 287\/315 + ((-1)\/1)\/(-1).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3 - 2247*m**2\/5 - 57924*m\/5 + 111456\/5 = 0. Calculate m.\nAnswer: -24, 9\/5, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 53*y - 269. Let k be w(47). Let m(l) = -l**3 + 13*l**2 - 4*l - 2. Calculate m(k).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/100*(-1325)\/795 + (1 - (-1 + -1)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**6\/27 - 2*w**5\/45 - w**4\/3 - 4*w**3\/27 + 5*w**2\/9 + 2*w\/3 + 198. Factor k(x).\nAnswer: 2*(x - 3)*(x - 1)*(x + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(-34) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1444 = 4*j, -3*j + 543 - 60 = q. Suppose 3*m + i = 45, -16*m + 13*m + 3*i + 57 = 0. Suppose 10*g = m*g - q. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*d + d = 66, 0 = o + 2*d - 21. Suppose 3*a - o = 2*x, -8*a - 3*x + 22 = -3*a. Solve -3*n - 4*k + 20 = -0*n, 0 = a*n - 4*k - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4154 + 7695. Suppose u + 44142 = 13*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:46 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/8*-3*(2\/(-15))\/(47\/3290).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvq when three letters picked without replacement from qqqqwvdhqd?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 25*f + 89. Let c be d(28). Let v(y) = 0*y - 9 + 3*y**2 + 2*y - 2*y**2. Let u be v(c). Solve 0 = -4*k - 6 + u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = y + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142572830 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzzx when four letters picked without replacement from annfnnznxxzafnfzana.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 327584 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 430.2 + -423.83. What is h rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -21. Let v(j) = -4*j**2 + 3*j - 1. Let o be v(u). Let t(m) = -m - 7. Let s be t(o). Solve 0 = -2*h - s, h = 3*w + 5*h - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142458325.\nAnswer: 5, 37, 337, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 10, 131, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 27*h + 568 - 66 = -70 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120522 and 5088.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + 2*f + 9. What is the units digit of p(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*n + 65, -10*n + 12*n - 104 = -3*t. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 401302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 530*b**2*z - 6991*b**2 + 11283099*z - 7 wrt b?\nAnswer: 1060*b*z - 13982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 16. Suppose 5*p + 51 = 2*z, 0 = -2*p + 5*z - 4*z - 20. Calculate q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/2 - 35*a**2\/2 + 26*a. Let x be b(14). Solve x*n + 2 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1602*r - 64. Let h(f) = 2404*f - 102. Calculate 5*h(l) - 8*x(l).\nAnswer: -796*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) + 26 + -2. Suppose -3*d + j = 5*w - 29, -9 = -3*w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p + 910. What is the remainder when g(-89) is divided by (4\/10)\/((-2)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.84 - -5.34. Let n = -2.71 + 0.8. Let o = n + 0.11. Put o, 2, g in descending order.\nAnswer: 2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - w + 4*w + (1 - 1 + 2*w)*(5 + 1 - 4) + 610*w + 1789*w + 97*w as h*w + l and give h.\nAnswer: 2501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4446576 divided by -60912?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27485451 * 0.3.\nAnswer: 8245635.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d43c3 + -3b?\nAnswer: -d4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3422 - -3422. Solve 4*j + t*b = -2*b + 14, 3*b - 17 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 17 - 10 - 21 - 21*s**2 + 19*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.12 times 9031\nAnswer: 28176.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2095730 - 28?\nAnswer: -2095758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488\/(-6)*((-1329)\/12 - (-25 + 26))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-19)\/(-1) - 1. Let y = h - 18. Which is the nearest to 1? (a) -4 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 13\/60*g**4 - 3 + 0*g**2 + 9\/50*g**5 + 1\/15*g**3 - g. Factor o(s).\nAnswer: s*(2*s + 1)*(9*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 + 2 = 0. Suppose -v*b + 2*j = -0*b - 90, -4*b - 5*j = -153. Let i = 45 + -17. Calculate the greatest common factor of i and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*h = 10, 4*t + 0*t + 5*h = 44. Let n be (3\/4)\/(5*(-1)\/(-440)). Suppose -n + t = -2*b. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23552*a**3 + a - 48599?\nAnswer: 70656*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*c + 27*c - 7*c in the form f*c + q and give f.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4 + 2)*1. Let w(y) be the first derivative of -3 - 4*y - b*y**2. What is w(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**3 + 2129*r**2 + 3805*r - 4660. Give z(-424).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {h: 6, x: 2, k: 7}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.9, 11 in decreasing order.\nAnswer: 11, 2, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 - -13a3b?\nAnswer: 13988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -252, -577, -1150, -2055, -3376, -5197, -7602?\nAnswer: -10675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*k + 3*k. Let c be 1 - (-2)\/k*0. Suppose 4*g - 19 = c. Solve -n - 8 = -g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116764751 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(3 + -1) - -2. Let n = 48 - 14. Suppose 5*i + k = 3*o, -o + n = 2*i + 3*i. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - -3 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -s - 1, 751*f - 756*f + 2*s - 33 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669 = 151*a + 32*a - 2638 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(1\/3)*b)\/b)\/b*b*b**(-2))\/(b**(-1))**36 assuming b is positive.\nAnswer: b**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 720 - 30?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*b + 569 + 221 = 125*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 726 - 6538\/9. Is 1\/3 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 12*n**2 - n + 8. Let m be a(6). Let l be 10\/(-50)*(-25)\/m. Sort 3, 12, l in ascending order.\nAnswer: l, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*i = -103*i + 207 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*f - 7, 0 = -4*y - 4*f + 5*f + 5. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3201*f + 3205*f - 6301*f = -3465 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4341674 is divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14326 is divided by 7150.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:57 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*o = 31, 5*r + 10*o = 7*o + 29. Let v(z) = -1 - 16*z**2 + r*z**2 + 4*z + 3*z**2 + 4*z**2. Let a(f) = f. Give 6*a(d) - v(d).\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f - 32 + 32 in the form k*f + x and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*j - 5*k + 14, 0 = -4*j + 3*k - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 + 6*r - 43. Let o(n) be the third derivative of -3*n**5\/20 + n**4\/2 - 29*n**3\/2 + 18*n**2. Let s(l) = -5*a(l) + 2*o(l). Is s(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 2, w: 3, s: 1}. What is prob of picking 1 w, 2 v, and 1 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -69bc6 (base 15) in base 11?\nAnswer: -21003a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37281427 to the power of 1\/2, to the nearest integer?\nAnswer: 6106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2953 is divided by 937.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 52. What is the third smallest value in -0.7, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*l + 14. Let k(v) = 0*v**2 - v**2 + 0*v**2 + v**3. Is 7 a factor of k(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -56.548.\nAnswer: 169.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:23 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + v**3 + 3*v**3)*((-23*v + 13*v**2 + 23*v)*(-3 + 4 - 2) + 365*v - 365*v - 22*v**2).\nAnswer: 35*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21 times -1184?\nAnswer: -1432.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2513 is divided by 416?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, z: 2, d: 1, b: 10, e: 2, p: 2}. Give prob of picking 1 e, 1 z, and 2 h.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**2 + 103*j - 103*j.\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 0. Let z be (-99)\/u*(-352)\/(-12). Calculate the highest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 6061?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -48*m - 1. What is the tens digit of v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose 5*b + 2*w - 2 = 0, -h*w + 3*w + 6 = b. Solve -10 + 2 = b*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-9 + 0)*(-10)\/(-30)). Let l(y) = -y**2 - y + 8. Let z be l(r). Solve 7*h - 5*h + z = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poxsxsxosysxxy. Give prob of picking 1 y, 1 p, and 1 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 7*k**2 + 3*k - 5. Let l be t(-6). Let b = l - 16. Sort 3, 5, b.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9830349279.1 and -0.4.\nAnswer: 9830349278.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 - 35*z**2 + 18*z - 8. What is k(-7)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.004, -1\/4, 2\/7, 0.1 in descending order.\nAnswer: 2\/7, 0.1, 0.004, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:03 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449725 > 1449726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/3)\/(12*(-16)\/(-288)))\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835086 greater than 8835082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -11*i. Suppose 0 = -4*f + 3*d + 17, i*f + 5*f + 3*d - 28 = 0. Let t(h) = h**2 - 3*h - 7. What is t(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265398 and 17.\nAnswer: 4511766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:33 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(133) - 1*sqrt(133) - sqrt(133)) + sqrt(133) - sqrt(133)) - -4*-2*sqrt(133))\/(5*(sqrt(42)*-3)\/sqrt(6)).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/(-9))\/((-6)\/(-4)). Suppose -20*j**4 - 38*j**p - 28*j**3 + 40*j**4 + 6*j**2 + 64*j - 24*j**4 = 0. What is j?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1934\/7 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 26 = -2*g, 3*a + 4*g = -0*g + 4. Suppose -4*c = i - 23, 2*c = 2*i - a + 2. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*p - 65709 - 240193 = 0. Calculate the remainder when p is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 16 = 4*s. Let x be 55\/2 + (-2)\/(-4). Suppose -x = -2*u - 0*u + 4*h, -26 = -s*u + 2*h. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 - 196*q - 1267. Determine v(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 33778301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*z - 55*z + 174*z)*(14*z - 7*z - 5*z - 3*z) to c*z**2 + w + o*z and give c.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v + 106*v + 213*v = 20246 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19136\/21 at least as big as -911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*c, 6 = -2*c - c. Let o = b + 2. Suppose o*q = -q + 95. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 6, l: 3, d: 1}. Give prob of picking 1 e and 1 l.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433782825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -9, -5, -111, -357?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-10 - (1 - 1)). Suppose 0 = 4*p + t - 90. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjjw when four letters picked without replacement from xwjjjjx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o + 72*o + 75*o - 204*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 2. Let z be d(-2). Suppose 5*u = -2*f + u + 18, 5*u - z = 0. Suppose 0 = f*i - 4*i - 5. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose 2*m + 3*k + 2*k = 12, v*m + 4*k - 47 = 0. What is the remainder when 20 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 578 and 136?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t - 2 - 9*t + t**3 + 4*t**3 in the form c*t + k*t**3 + d + x*t**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**2\/2 + 2. Suppose -123*g - 1 = -122*g. Determine h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 + 72 = 15*r + 84*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 305*n - 2799. Determine j(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*q + 260, 5*q + 248*r - 245*r = -162 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 181?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c - 2*s = 72*c - 23, -21 = c - 4*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*v)*(3*v**2 - v - v + 4*v)*(-3 + 3 - 2*v) in the form x + s*v**3 + f*v + k*v**2 + c*v**4 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12898 - -19459. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*f = 441*f - 69 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*b + 5*o + 17, 2*b + 4*o - 18 = 0. Let r be 4\/6 - 52\/(-3). Solve -b*t = -3 + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.63 - 281.\nAnswer: -287.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(44)\/sqrt(4) + sqrt(11)*1 + 4.\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*p*r**3*t**2 + 49*h*p + 6*h*t**2 + 4189*p*r**3*t**2 + 3*p*r**3 + 5*p*t**2 wrt h?\nAnswer: 2*p*r**3*t**2 + 49*p + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 10*w**4 - 81*w**3\/4 - 19*w**2\/2 + 81*w\/4 - 1\/2 = 0.\nAnswer: -1, 1\/40, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k**6*k))\/k)\/(k\/(k*k**5))*(k\/((k\/(k**1*k))\/k))**3*((k*k**(-3))\/k**(1\/2))**(-37) assuming k is positive.\nAnswer: k**(201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2, 3*u + 5*x + 0*x + 28 = 0. Let y be (-20)\/8 + 3329985\/u. Round y to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 20*k**3 - k - 17*k**3 + 13*k. Give w(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -x + 1 + 522, -2*x - 4*f + 1042 = 0. Let y = x - 514. Solve 0 = a - 3, -1 = 5*j - 0*a + y*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -287\/2 + 144. Sort 1, w, -1\/4, -3 in increasing order.\nAnswer: -3, -1\/4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -3, 1, -63 in decreasing order.\nAnswer: 7, 5, 1, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68325371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1414 + -775. List the prime factors of o.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z - 4. Let a(w) = w. Let p(h) = -20*a(h) + s(h). Let u be p(-1). Let l be 36\/3 + -1 + (1 - 3). Solve 4 = 4*v, 0 - l = -u*k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.011 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -289 greater than -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 1:55 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0)*(-1)\/(-2). Let c = s + -21. Sort -3, -4, c in increasing order.\nAnswer: c, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-4)\/((-24)\/1466) - (-6)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-72))\/((-1)\/8). Solve 2*q + 2*g - 3*g = 0, 3*q = -i*g - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*g**2 - 11*g + 116*g**2 - 221*g**2.\nAnswer: 9*g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x + 30. Let s = -6 - -6. Calculate the remainder when y(s) is divided by 368\/26 + -3 + (-10)\/65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2645 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 990363 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1741626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -31*u + 66. Let g be q(2). Let s be (g + (-60)\/14)*-14. Solve -v = -5*k + 24, s*v - 2*k - 3 + 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 divided by 153?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:44 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*w + 27*w - 59*w - 6*w**2 + 166 + 8*w**2 in the form z*w**2 + v + y*w and give v.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40491036 by 6.\nAnswer: -6748506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*p. Suppose 38200 = p*x - x. What is x rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and 103\/61310430?\nAnswer: 61310430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 168.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 18558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*m + 16232 = 0, -204*f + m = -205*f + 4052. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 0, 3*g - 4*d - 8 = -2*g. Solve 5*f = 4*v + 32, -g*f + 0*f + 10 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20050 or -20080?\nAnswer: -20050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 927640, 279, -4.\nAnswer: -4, 279, 927640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {t: 4, f: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*t**3 + 980*t**3 + 1079*t**3.\nAnswer: 1823*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-390)\/(-55) + -7)\/((-12)\/(-33)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 48. What is the common denominator of 345\/40*g\/(-6) and -55\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 33 = -4*w, 6*w = 2*w - 2*l + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 654 divide 11807024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let p(x) = 2*x + 6. Let q(c) = -2*n(c) + p(c). Let a(w) = 7*w + 11. Let l(j) = -6*a(j) + 11*q(j). Let m(h) = h. Determine l(m(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 41 = z + 3*b, -z - 5*b = 35. Let p = 12 + z. Let v = -6 - p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(637) + 1 + sqrt(637) + (sqrt(468)*-1)**2*2).\nAnswer: 56*sqrt(13) + 3756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1834*r**5 + 2871*r.\nAnswer: -36680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Let q(n) = -6*n + 3. Let x(i) = i + 1. Let j(w) = 2*q(w) - 6*x(w). Give j(r(k)).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofe when three letters picked without replacement from jfeejojpofeeje.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**(-1))\/(a**(2\/3)\/(a\/a**(-5)*a)) assuming a is positive.\nAnswer: a**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -167*z**2. Let a(u) = 2*u**2. Determine t(a(f)).\nAnswer: -668*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2105610353 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*t + 6 = 2*d + 102*t, -t - 9 = -3*d. Suppose 2*c - 4*c = -10. Let -z**3 - 22*z**4 - 5*z**3 - 18*z**c - 4*z**3 + 6*z**d = 0. Calculate z.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-3)**2 + (sqrt(72) + 5)**2 + -1 + ((1 + sqrt(242) - sqrt(242))*5 - sqrt(242)).\nAnswer: 49*sqrt(2) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.82311cm in meters?\nAnswer: 0.3382311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-18))\/((-21)\/12). Which is the nearest to -0.1? (a) -1\/5 (b) 0.2 (c) 10\/9 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 1177\/12. Suppose 0 = 2*g - 7*g + 10. Suppose -7 = -5*k - g. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5050176284?\nAnswer: 2, 131, 9637741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139573340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3 + 57*l + 16 + 9\/4*l**4 + 0*l**2. What is the derivative of t(z) wrt z?\nAnswer: 27*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 105320?\nAnswer: -210640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12625611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36736)\/24)\/7*3. What are the prime factors of ((-14)\/(56\/(-5)))\/((-2)\/t)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/42887050 and 64\/165?\nAnswer: 1415272650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14*h\/(((h*h\/(h\/(h\/h**(-1\/11))))\/h)\/h)*h*h*h**(-2\/15)*h*h**(11\/3)*h assuming h is positive.\nAnswer: h**(3703\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/4 - 1901*y\/4 + 105280 = 0.\nAnswer: 256, 1645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojeo when four letters picked without replacement from oeejjjjbjejojjje?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z = 4*s + 33*z - 24, 2*z + 2 = -3*s. Suppose s*a = 23 + 781. What are the prime factors of a?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.05 - -0.05. Suppose 22 = 5*n + 2. Suppose -2*u + 13 - 3 = 0. Sort u, n, s in ascending order.\nAnswer: s, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + (sqrt(120) - (sqrt(120) - (4*sqrt(120)*-2 - sqrt(120) - sqrt(120)))))\/(-1*sqrt(108)))\/((-6*sqrt(88))\/(1*-2*sqrt(11))))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*k*s**2*y**2 - 2*k*y**2 + 13*s**2*y - 2*s*y**2 - 2*y**2 with respect to k.\nAnswer: 30*s**2*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p, 0*l + l + 4 = 4*p. Is (l\/(-12))\/(1\/1077) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3196546.94710302 - -3196177.9471. Let x = d + 369. What is x rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*j + 78 = 0, 4*d - 3*j = j - 40. Let o be (7\/d)\/((-2)\/(-16)). Let n(y) = -y**2 - 7*y - 5. Give n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 32*t - 27*t**2 - 6*t**2 - 5*t**2 + 10*t**2.\nAnswer: -22*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*167\nAnswer: -83.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 203\nAnswer: 248\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001101011010011 (base 2) in base 12?\nAnswer: 99903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 90.8. Let t = k + 10.20000102. What is t rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 8*p + 7. Let f(t) = -10*t**3 + t**2 + 3*t + 4. Let l be f(-2). Let z = l - 74. What is b(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -15*x - 100. Let n = x + -44. Suppose 2 + 40 = n*u. Calculate the remainder when 11 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421690 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: -84879554 * -0.04\nAnswer: 3395182.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 = 3*g, -g - 4*g - 2*d = -28. Let c = 0.0149 + 0.1951. Is c at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178318, -178104, -177748, -177250, -176610?\nAnswer: -175828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1315 in 2\/19, -15, -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 93. Let y = 42.8 + f. Which is the biggest value? (a) y (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 16*v + 24. Let m be w(-17). Let g be (-76)\/57 - m\/(-6). Which is the nearest to -0.1? (a) 4 (b) g (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.13, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 9*h - 3*h - 1)*((-2*h + h + 6*h)*(0 - 2 + 0) + 0*h + 2*h - 3*h) as o*h + r*h**2 + z and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 4*s + s + 2*s. Let j(g) = -g. What is b(j(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*d - 2*d. Let z(g) = g**2 - 7*g + 17. Let k be z(5). Let n be 1\/k*-2 + 105\/196. Which is the third biggest value? (a) d (b) n (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37624 (base 12) to base 3\nAnswer: 10211011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13114933 is divided by 262.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 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: Find the first derivative of 2*c**2*l + 55*c**2 + c*l**4 + 48*c + 2720*l - 2 wrt l.\nAnswer: 2*c**2 + 4*c*l**3 + 2720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*q - 11*q. Suppose q = 390*y - 379*y + 187. Is y less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**2 + 150*p + 38. Let d be g(19). Which is the third biggest value? (a) d (b) -14\/17 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/5 (b) 1 (c) 7 (d) 0.57 (e) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 + 2*z**2 + 2*z - 2. Let w(x) = 12*x**3 + 9*x**2 + 9*x - 9. Determine -9*h(l) + 2*w(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 - -168. Let p(o) = -8*o**2 + 13*o + 83. Let z(j) = 17*j**2 - 25*j - 167. Let t(h) = a*p(h) - 2*z(h). Differentiate t(q) wrt q.\nAnswer: 12*q - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4779, -9528, -14277, -19026, -23775, -28524?\nAnswer: -33273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (532\/70 - (-2)\/5) + -1. What is the highest common factor of 56 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8008 = 2286*n - 2468*n for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.81 - 6.99. Let p = 16 + -16.22. Let c = m + p. Which is smaller: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -c + a - 6, -15*a = -16*a - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*f**3 + 11 + 0 - 26 + 7 + 3 in the form p*f + k*f**3 + w*f**2 + q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111.1 - 130.94. Let j = -19.9 - i. Which is smaller: 0.02 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.093 - 22.\nAnswer: -44.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 8439440*t**3 - 16878864*t**2.\nAnswer: -4*t**2*(t + 2)*(t + 2109858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.1 + -35.9. Let y = -91.635 - p. What is y rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - 2*sqrt(972))\/(sqrt(960)\/sqrt(10)).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179652997 - 2.\nAnswer: 179652995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*m - 22*m + 6*m)*(-426 - m**2 + 426 - 7*m) in the form s*m**2 + r + j*m + k*m**3 and give s.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 30, -282.\nAnswer: -282, -5, -4, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*f - 2704*f = 394494 for f.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.9 - -16.6. Let y = 539\/5 - 536\/5. Which is the biggest value? (a) y (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3107.3 + 3107. Let h = -1 + 0.96. Let d = 2.04 + h. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:19 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4878823 and 10?\nAnswer: 48788230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v**2 - 2*v. Let z(m) = 19*m**2 - 12*m - 6. Let c(o) = 54*o**2 - 34*o - 17. Let k(h) = 6*c(h) - 17*z(h). What is k(j(a))?\nAnswer: 196*a**4 - 56*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 - 172\/14. Let u be 8041\/(-154) + ((-9)\/7 - -1). Let t = u + 54. Put -0.5, x, t in ascending order.\nAnswer: x, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1539817, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 3. What is the first derivative of -5 + d**l - 3*d**3 - 1 + 4 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28954 - 28947. Which is the closest to -1? (a) x (b) 2\/5 (c) -156.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -294.59 - -296.59. Which is the second smallest value? (a) 12 (b) j (c) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-40) + (-70)\/4. What is the smallest common multiple of ((-8)\/(-10))\/(s\/(-180)) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 82*s - 1 + 0*s**3 + 15\/2*s**4 + 57\/2*s**2. Differentiate n(g) with respect to g.\nAnswer: 180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 + 58397 - 58397.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-14))\/(-1))\/((-4)\/(-52))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -184505, -361870, -539235, -716600, -893965, -1071330?\n\"Answer: -177365*x - 7140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/(i*i*i*i**(-17)) assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43298, -43302, -43306, -43310, -43314, -43318?\n\"Answer: -4*x - 43294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(325) + -5 - ((sqrt(325) + 0 + -3)**2 - sqrt(325))).\nAnswer: -80*sqrt(13) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, -52.\nAnswer: -52, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5530 = 16*n - 5498 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 16) in base 10?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 - -314. Solve 2*o + 1 - t = -5*j, 3*j = 5*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, h: 2, f: 4, i: 1}. What is prob of picking 1 i and 2 f?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3712 and -97\/8.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1049 + 850. Suppose -13*l = -6850 - y. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 7*p + 2*p)*(-60 - 30 + 33) + 4*p - 2*p + 0*p.\nAnswer: 173*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 0.02673244.\nAnswer: 0.29405684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.924 or 0.234?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 + 120. Let q(r) = 3*r**2 - r. Suppose -27 = -5*n + 2*n. Calculate the remainder when n is divided by q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2232?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 1. Let p(k) = 0 - 6 - 1 + 3. Let j(h) = p(h) + t(h). Suppose 5*a - 2 = -2*o, -o - 2 = -3*o. Give j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j + 50*j + 44*j - 217*j + 88*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 439, 434, 427, 418, 407, 394?\n\"Answer: -p**2 - 2*p + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 34 (b) -2\/5 (c) -5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*q = -15, 0 = 4*q - 14 - 2. Let r(l) = -l**3 + 10*l**2 - 9*l + 11. Let z be r(9). Let x = a + z. Solve -2 = 2*k - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) - sqrt(2541)*-1)*-4 - (sqrt(2541) + -2*1*sqrt(2541) + sqrt(2541) + sqrt(2541) + sqrt(2541)))\/(3*sqrt(243)*-1*-1).\nAnswer: -110*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11576*v + 2083649. Give r(-180).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.75 - -412.75. Let x = 11770.4022 - 11360.36. Let f = p - x. Round f to three decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -0*d, -u + 4*d = -4. Let v be (2\/3)\/((-220)\/45 + 5). Calculate the greatest common divisor of u and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 39*i**2 + 6811*i + 107183. What is k(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 401*u**6 + u**2 - 53*u wrt u.\nAnswer: 48120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*n + 872*n + 0*n + 85*n)*(n + n + 0*n).\nAnswer: 2314*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 42 - (-4 + (-2 + -9 - (45 - 64)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286784 by -4.\nAnswer: -71696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-2) - (-6)\/(-4). Let x = -30 - -60. Calculate the greatest common factor of x and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - -11. Calculate the least common multiple of ((-48)\/84)\/(4\/(-28) + 0) and d.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*3*5\/10. Suppose -5*l - 14 = -5*n + 421, -255 = -x*n + l. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*o**2 - 56*o**3 - 264*o**2 + 524*o**2.\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 460731.1 + 14.4.\nAnswer: 460745.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -128*s**3 - 2*s**2 + s - 7. Let q be p(-2). Suppose 3*i - 1015 = 4*h, -8*i + 5*i + q = -2*h. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxj when three letters picked without replacement from {u: 4, s: 5, n: 4, i: 1, j: 2, x: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 362, 629, 896, 1163?\n\"Answer: 267*a + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -625100 (base 9) to base 12.\nAnswer: -15a946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 17*g + 67. Let c be z(-10). Let a(b) = -b**2 + 8*b. Let u(s) = -2 + 2 - 3*s + 4*s. What is c*a(h) + 24*u(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 3:33 PM?\nAnswer: 497","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85241.\nAnswer: 13, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.4. Let s = 0.4 + a. Let f = -1684\/7 + 240. Put s, f, -2 in descending order.\nAnswer: s, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -6191569, -9 in increasing order.\nAnswer: -6191569, -9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + -1 + (21 - 2 - (-573 - -581)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 17 = -3*t, -5*i + 22 - 63 = 4*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:41 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:53 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 6*j - 58. Let q = j + 146. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1 - (-219)\/18. Let v = x + -347\/30. Which is the second smallest value? (a) v (b) -5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l + 34 = -5*l. Let v = -1.1 - -1. Which is the nearest to l? (a) 5 (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-25) + (-1 - -3) + (-276)\/20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*l**4 - 39*l**3 + l + 1718 wrt l.\nAnswer: -28*l**3 - 117*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*n + 3*m, -43 + 7 = -3*n + m for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 12) to base 13\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(16\/3)*r**(-14)*r*r**(-17)*(r**(20\/3)*r)\/r assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:10 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j, -90 = -3*q - 5*j - 701. Let r = q + 214. Calculate the smallest common multiple of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/896508 and -11\/252.\nAnswer: 6275556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*x = -501, 41651 + 35220 = 4*n + 509*x + 13250 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y + 3. Let q be k(-5). Suppose 5*j = -5*o + 75, q*j - 5*o = 5*j - 30. Solve -u + 0*u + 2*d + j = 0, 5*u + 4*d = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 9}. Give prob of picking 1 o and 1 c.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*(-12)\/10. Let z = -5 + 4. Let s be 1 - 0 - 8\/z. Solve g*a - s = 0, 3*n + a = 4*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -37. Suppose -2*l + 7 = -7. Differentiate -2*a + 0*a + l*a + z wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 67, 49 in increasing order.\nAnswer: 0.3, 49, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(5103) + -5 + (sqrt(5103)*1 - sqrt(5103)) - (sqrt(189)\/sqrt(3) + 1 + sqrt(63) + -2))*-1)**2.\nAnswer: -3780*sqrt(7) + 77499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + 3 + -1 + sqrt(162))*-3)**2.\nAnswer: 324*sqrt(2) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 89410284917389.\nAnswer: 89410284917389.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*x**2 - 3*x**4 - 10*x**4 + 35*x**2 + 1 + 4*x**4 as s + d*x**4 + o*x**2 + p*x + r*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 69730 = -0*b. Let j = -2440 - b. Suppose 0 = 4*a + 1422 - j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 4157127?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/7)\/((-3)\/21). Suppose -31 = -6*z - s. Calculate the remainder when 3*-12*(-3)\/6 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 189, 473, 985, 1839, 3149?\n\"Answer: 19*w**3 + 151*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 17. Solve o = 3*f + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 22 - (1 - (1 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(2 + -1)*2923\/2. Suppose 2*o - t + w = 5*o, 1944 = o + 5*t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33837107*d**5 - 56599*d**2 - 46*d - 4.\nAnswer: -2030226420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-1)*(-213)\/1 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-21)\/9)*15*1. Let o = z - 15. Suppose 14*v - o*v - 1566 = 0. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13216012 is divided by 1702.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -820 - -515. Calculate the common denominator of 118\/(-4) + (-1 - -1) and d\/366 + (-146)\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1436 - -812. Let o = 1007 - r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2743 divided by -13.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5436 and 45.\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - h + 15 = 2*h, 4*h - 9 = x. Suppose -2*m + x = -31. Let v be 0 - (-48 + (-6)\/2). What is the greatest common factor of v and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = 41*i + 436. Suppose -3*j - 5*m + 79 = 0, j + 3*m = -3*j + i. Suppose 0 = 4*g - 2*g - 20. Calculate the remainder when j is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 498 - 494. What is the nearest to 0.4 in 2, a, 0.1, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 96*f**2. Let o(y) = 5074*y + 2. Calculate o(l(p)).\nAnswer: 487104*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 3 - 4 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 282*n**5\/5 - n**2 + 228*n - 645. What is the second derivative of z(g) wrt g?\nAnswer: 3384*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(4*7\/84)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (5 + ((sqrt(1088) + sqrt(1088) + -1 + sqrt(1088) + sqrt(1088) - sqrt(1088) - sqrt(1088)) + sqrt(1088) - sqrt(1088))))**2 - sqrt(1088).\nAnswer: 56*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = -2*n - 8, 0 = -3*v - 3*n. Let j = 9 - 9.3. Let g = j - 0.1. What is the closest to v in g, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 2*m - 3. Let u be f(4). Let y = u - -29. Suppose -y*d - 21 = -3. Which is the closest to -0.1? (a) -4 (b) 3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -533 - 390*l**3 + 312 + 385*l**3 + 110*l**6 - l**2 wrt l?\nAnswer: 13200*l**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 2, u: 4, e: 1, x: 1}. Give prob of sequence ell.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -623 divided by 9\nAnswer: -623\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3055 and 41\/20.\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -15*c. Let p(u) be the third derivative of -4 + 0*u**4 + 1\/30*u**5 + 0*u**3 - 13*u**2 + 0*u. Give w(p(t)).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -630, -632, -644, -672, -722, -800?\n\"Answer: -o**3 + o**2 + 2*o - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42223 + -13206?\nAnswer: -55432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, x: 2, s: 6, f: 3}. Give prob of picking 1 s, 2 f, and 1 w.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2123178090 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzbzzrzzdfrzzbfzzzr. What is prob of sequence zf?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((2 + -3)*-1). Let g be o + 1 - (-27 + 24). Solve -l + 3*l + g = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253049.368 rounded to the nearest one hundred?\nAnswer: -253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8801109?\nAnswer: 3, 233, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2723 - -2724. Sort 5, -4\/9, w, -1, -3 in increasing order.\nAnswer: -3, -1, -4\/9, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = 34*n - 31*n. Let t be 2\/4 + (-16)\/16. Which is the fourth biggest value? (a) 0.3 (b) t (c) n (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 + 17*i**3 - 10*i**3 - 9*i**3 - 724 + 368.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282986 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (124 - 0) + (-78 - (-7 + -51))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 8*s - 17. Determine m(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1372*g**4 + 1793*g - 1 wrt g.\nAnswer: 16464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -30. Let p(x) = 12*x - 7. Let q be p(i). Determine j, given that 9*j + q*j + 0*j**2 - 18*j - 4*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -7 - 4\/5*u**3 + 9\/10*u**2 - 3\/20*u**4 + 54\/5*u. Factor b(x).\nAnswer: -3*(x - 2)*(x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.43 + 6.38. Is k less than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -1010?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -3\/4, 1409, -5, 3, -1, 322?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -41. Let k be ((-22)\/w - 3 - 2)*-39. Is k > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 - 2*d - 2. Let g be a(-2). Calculate the remainder when 20 is divided by g\/4*(-23 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 x when four letters picked without replacement from {y: 2, x: 2, g: 1, u: 6, s: 1, m: 5}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/608)\/(2802\/(-14944))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 292*u + 3205. Give g(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -39, -38, -35?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18) + 5\/(-18)*((-7769)\/170 + -12)\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -6 - -7) + (-586)\/2. Let n = u - -1452\/5. Put n, -8, -2\/3 in decreasing order.\nAnswer: n, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 95?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*(63\/14 - 4). Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 53, 5, -3, 4, 1 in ascending order.\nAnswer: -3, 0, 1, 4, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/3 - 67*q**2\/2 - 65. Let z(n) = -n**2. Calculate j(z(y)).\nAnswer: y**4 + 67*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n*n**(2\/9)*n*n)**(3\/2) assuming n is positive.\nAnswer: n**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5634 and 8202?\nAnswer: 7701678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1575)*2 - sqrt(1575)))**2 + -5 + -5.\nAnswer: 60*sqrt(7) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27241 and -1.6?\nAnswer: -43585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/(b*b**(8\/7)*b))**(-30\/11) assuming b is positive.\nAnswer: b**(975\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23982 - 12377. Suppose -7*v - 4*v + i = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143069783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/16 - (-3406298)\/112.\nAnswer: 2, 3, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*h = 324*h - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.913?\nAnswer: -0.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*s - 17*s + 36*s)*(88*s + 39*s + 17*s) to the form y + v*s**2 + f*s and give v.\nAnswer: 6912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(7) + -5 + 0.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 72*o + 4. Let w(u) = -159*u. Determine g(w(z)).\nAnswer: -25281*z**2 + 11448*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*k = 232, 4*k - 110 = 3*b - 5*b. Let m = 120 - b. Suppose -49 = -5*h + m. What is the greatest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269\/9137 or -5\/12?\nAnswer: -269\/9137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 415 = 5*n, -2*m = 3*n - 1387 + 505. Let g(x) = -202*x + m*x - 211*x. Let w(y) = 3*y**2 - y**2 - 3*y**2. Calculate w(g(r)).\nAnswer: -484*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/h)\/(h**(-7)*h)*((h\/(h\/(((h*h**0)\/h)\/h))*h)\/h*h)**(-1\/20))\/(((h*h**0)\/h**(-3))\/(h**(-4)\/h**(-2\/3))) assuming h is positive.\nAnswer: h**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8401 + 2\nAnswer: -8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 863159 = 863169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4*h + h + (2*h + 2*h - 2*h)*(0 - 3 + 1) - 2*h + h - h)*(-2*h - 6*h + 2*h).\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 8 + -11 + (11 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 859 - 382. Let u = x + -226. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. Let f(w) = -2*w - 18. Let m be f(j). Let o(y) = 2*y**2 + 5*y - 8. What are the prime factors of o(m)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3904 = -y - 0*z, 0 = z + 3. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*u - 30. Let j = -18971 - -18972. What is the nearest to u in 0.2, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 1 - 7. Let u(g) = 1 - g**2 - g**p + g**2 + 6. Let q be u(0). Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.75 - 50\nAnswer: -47.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7428 - 118787\/16. Let y = 146291951\/72 + -2031927. Let u = y + 794\/9. What is the common denominator of u and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 21772\/15 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119850 is divided by 7974?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9666317915 less than 1.5089?\nAnswer: -9666317913.4911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from {a: 1, d: 1, i: 7, w: 5, e: 2, l: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.824 - 16.5680209. Let a = g + -0.256. What is a rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 15*u - 26*u = 6*u + 2950 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2739.821 * -1.5.\nAnswer: -4109.7315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -6. Suppose 0 = -4*x + w - 5. Factor -2\/3 + 2\/3*r**2 + x*r.\nAnswer: 2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 536.000239 + -536. Round r to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 38716528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167 or -380080?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 + 5*o - 58. Let u be n(11). Round u to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 10*u - 27. Is (-6)\/(-4) + 3580\/u - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*j**3*z**4 + 97019*j**3*z**2 - 4998*j*z**5 wrt z.\nAnswer: -816*j**3*z - 299880*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 66943822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2055590, 2055612, 2055632, 2055650?\n\"Answer: -v**2 + 25*v + 2055566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 173.3751ms?\nAnswer: 0.00000200665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1315 + 1312. Let j(m) = -6*m - 12. Determine j(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y - 10 = -5*m, -3*m = -2*y - 6. Let a = -2 - -3. What is the units digit of 3 + y\/(-3 + a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988*f - 2510 = -1239*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -68667*r - 1. Let f(w) = -663*w**2. Determine i(f(u)).\nAnswer: 45526221*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 161684965.9.\nAnswer: 161684966.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -3.4. Let u = 0 + x. Which is the third smallest value? (a) -3\/8 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5\/3 (c) -2\/13 (d) -1\/4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -124. Let h be (-2)\/(-4) - ((-132)\/(-8) + -4). Let c = s - h. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1793, -62, -5, 2 in increasing order.\nAnswer: -1793, -62, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67525 and 0.9.\nAnswer: 60772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 38*j = -33*j - 70, 3*j = -5*l + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 - 274*n - 18769 = 0.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 z when three letters picked without replacement from zqzzazzqzqqqzzzzqz?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -6.3. Let m = 18 - o. Let c = m + -12.62. What is c rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 141, -127, -757, -1869, -3583?\n\"Answer: -20*g**3 - g**2 + 117*g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 - 2*k**2 - 10*k*s**3 - 193*s**3 with respect to k.\nAnswer: 3*k**2 - 4*k - 10*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 22. Let z = y + 39. Suppose q = 5*k + 28, 0 = -4*q + 3*k + z + 76. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -29*d**3 - 2*d**2 + 1. What are the prime factors of r(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214589 by -42.\nAnswer: -214589\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (336\/63)\/(12\/(-9) - -2). Solve -27*p - 19 = -c*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10\/(n*n*n**(7\/3)))**29 assuming n is positive.\nAnswer: n**(493\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438911981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6.4. Let i = 9 + -6. What is the third biggest value in -0.1, q, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -878 + 879. What is the third smallest value in w, -97, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3488468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from qwixy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208*g**2 - 379*g**4 - 134*g**2 - 140*g**2 + 150*g**4 wrt g?\nAnswer: -5496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 2, v: 4, k: 2, n: 4, b: 1}. Give prob of sequence krkt.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137810?\nAnswer: 2, 5, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -572\/5 - -115. Suppose 2*o + 0*c - 3 = -3*c, o + 3 = -3*c. Let i(x) = x**2 - 5*x - 6. Let s be i(o). Is s >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 48, 70, 110, 174, 268, 398, 570?\n\"Answer: q**3 + 3*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2048454 is divided by 682809?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -103*m**3\/6 + 55*m**2\/2 + 259*m. Calculate the remainder when y(-1) is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 8, g: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163332975.\nAnswer: 3, 5, 13, 167521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6510634ms in microseconds?\nAnswer: 651.0634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:51 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 11.2 (b) 5\/4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.024 and -40.83?\nAnswer: 0.97992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 21. Let o be w(-12). Let t = -13 + o. Let s be (2\/t)\/(1\/6). Which is the nearest to -0.1? (a) 5 (b) 0.03 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3 + 20*j**2 - 2*j + 3 wrt j.\nAnswer: 18*j + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - 1767*t**3 + 5 + 1764*t**3 - t**4 - 3*t**2 + 2*t to the form d*t**3 + p*t**4 + k*t**2 + q + m*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2256 is divided by 684.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464071 divided by 29.\nAnswer: 464071\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -12. Let t = 7.3 - m. Let w = 22\/95 + 7\/19. What is the closest to -0.1 in t, w, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*l**2 + 1084\/15*l + 16 = 0. Calculate l.\nAnswer: -60, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160.97 + -160.93. Let b = 24 - 5. Is m less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 15*a**2 - 52*a + 49. What is h(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 1. Suppose -315 = 2*z - 309. Let h(x) = -3*x**2 + 4*x + 3. Calculate z*g(o) + h(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7\/2)\/t)\/(t*t*(t*t**(-30)\/t)\/t*t))\/((t*t**7\/t*t)\/t*t)**23 assuming t is positive.\nAnswer: t**(-321\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-98212)\/168. Let j(l) = 10*l**2 + 7*l. Let v be j(-8). Let h = s - v. What is the biggest value in 0, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(1980) + sqrt(1980)*-5 - sqrt(1980)) + sqrt(1980))\/(sqrt(11) + -4*sqrt(396))*-2)**2.\nAnswer: -192*sqrt(5)\/23 + 13636\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 - 2*n**2 + n + 1. Let c be 4 - (7 - 2)*2. Let p be (3 + 0)*4\/c. Is 4 a factor of j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/2 (b) -0.1 (c) 0 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**4\/24 + 4*i**3\/3 + 3*i**2. Let y(b) = 4*b + 7. Let z(m) = -3*h(m) + 4*y(m). Differentiate z(q) with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16907*q - 105 = -16914*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1461548 and 36811192.\nAnswer: 2171860328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6729190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + 0*b**4 - 2*b**4)*(724 + 49*b - 724).\nAnswer: -98*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**3 - 5*s**2 - 4. Suppose -34*g + 155 = 291. Let d(y) = y**3 + y**2 + 1. What is g*d(t) - n(t)?\nAnswer: -10*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:07 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 119*q**2 - 116*q - 11244. What is o(-119)?\nAnswer: 2560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3)*k)\/(k\/(k*k*k*k**(-5\/2)))*(k**(-12)\/k)\/k**(-17) assuming k is positive.\nAnswer: k**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 10. Let t = -15 - -2. Let n be l(t). Let f be (-1)\/((-7)\/(-28)) - (-26)\/4. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1 + 3 - 3 + 2*k. Calculate r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(109*z - 150*z - 100*z).\nAnswer: -141*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -3*v - 4081. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {c: 3, a: 1, w: 8, n: 6}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -818 - -9023\/11. Is 1 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 23*v + 66, f + 67 = 5*v + 85 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*g - 1030298 = -187302. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 834183615?\nAnswer: 834183620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 39720*b - 5353516.\nAnswer: 4*(b - 133)*(b + 10063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297959 and 13005.\nAnswer: 13408155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/275 - -568\/825. What is the smallest value in 0.1, c, 1\/5, 28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -321, 5, 429, 7, -4 in decreasing order.\nAnswer: 429, 7, 5, -4, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 62. Let k be w(-11). Let u(f) = 5*f**2 - 2*f - 2. Let s(z) = -3*z**2 + z + 1. Let l(a) = k*s(a) - 4*u(a). Give l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 22. Let u = 38 - z. Suppose 4*g - u = -g + 4*t, t = -g - 5. Solve -5*i - 3*c - c = 25, g = 5*i - 4*c - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20960 and 3600.\nAnswer: 943200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) 0.83 (d) 3 (e) -668\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 470\/(-70) + 2\/(-7). Let t(o) = o**2 + 8*o + 4. Determine t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -328 - -1700. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**6*(q*q**(3\/5))\/q*(q*q**0)**50 assuming q is positive.\nAnswer: q**(233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*m + 178*m - 2 = -3*k, 17*k + 4*m = 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 37*s - 5 - 1 + 2 + 1.\nAnswer: -37*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 761*w**3 - 16*w**2 - 10010. Let i(r) = -1521*r**3 + 30*r**2 + 20022. Let x(j) = -8*i(j) - 15*v(j). Find the first derivative of x(y) wrt y.\nAnswer: 2259*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5763 is divided by 1914?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395897?\nAnswer: 395897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4744\/152 + -5 - 1504\/7144\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 24 = -4*n, 5*m + 25 = -82*n + 85*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -713 + 55*u**2 - 22*u**2 - 16*u**2 - 15*u**2 as v + o*u**2 + l*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3321, 14585, 33383, 59715, 93581, 134981, 183915?\n\"Answer: 3767*a**2 - 37*a - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 6*c + 5*c + 0*c to the form h + n*c and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/5 - 32*w**4\/5 - 192*w**3\/5 + 254*w**2\/5 + 191*w\/5 - 222\/5 = 0.\nAnswer: -6, -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 42. Suppose -6*u = -78 - c. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 12*m + 1. Let p(n) = -n. Determine -a(c) - 2*p(c).\nAnswer: -10*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**8\/i)**(-43))**(6\/5) assuming i is positive.\nAnswer: i**(-2064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8047806232?\nAnswer: 2, 1005975779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 5. Suppose -4*z = -3*y + 8, 4*y + 6 - a = 5*z. Solve -2*n + 6 = -y*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859000 rounded to the nearest 10000?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 913440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1110 - -3069. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 2}. What is prob of sequence sjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.30307 + -7163.80307. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2\/469 in ascending order.\nAnswer: -4, -2\/469, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -77.5.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1052 by 263.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -95 and -9469.\nAnswer: -9564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 5, z: 1, q: 1}. What is prob of sequence jjqr?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.9 + -0.1. Let q = 17 + j. Let g = q - 1.4. Which is the biggest value? (a) -1 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v. Let s be 11 + (-3 - 5\/(-1)). Let n(b) = 4*b + 2*b + 2*b - s*b. Give u(n(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - 7*o + 4. Let c = -1 - -5. Determine f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 10140?\nAnswer: 91260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 19*x**2 - 6*x - 6. Let v(z) = 26*z**2 - 5*z - 7. Let k(u) = -55*u**2 + 9*u + 14. Let b(c) = -2*k(c) - 5*v(c). What is 6*b(t) + 7*r(t)?\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/120 + j**5\/12 - j**4\/12 + 11*j**3\/6 + 3*j**2 - 99*j. Give m(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, -5, -0.04, -29?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/9)\/(1\/(-3))*3. Let f(n) = n**3 + 4*n**2 + 5*n + 7. Let w be f(a). Sort 2, 4\/7, w.\nAnswer: 4\/7, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 835035*t**3 - 922701*t wrt t?\nAnswer: 5010210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212022 (base 3) to base 10.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 + 3*c + 22. What is g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20193407287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 12*a**2 - 609*a - 6584. What is m(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 17, j: 1}. What is prob of sequence js?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 2*p - 9. Let h(g) = 4*g**2 + 3*g + 13. Let t(w) = -5*h(w) - 7*q(w). Let o be t(3). Let c be (-13 - 1)*1\/o. Is -5 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25004, 25017, 25030, 25043, 25056, 25069?\nAnswer: 25082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - q - 2*q + 0*q + 2*q + 0*q + (-3 + 5 - 4)*(1 - 1 + 2*q) to the form i + w*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -57\/121 (b) -1\/7 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4*j. Let h be t(4). Suppose 3*g - 4*v - 19 = -h*g, v + 25 = 3*g. Suppose s + g - 54 = 0. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/11, -25, -8.\nAnswer: -25, -8, 1\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b + 49731 = 50264 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, p: 3, m: 1, k: 4}. What is prob of sequence kppm?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 2*u**4 + 4*u**4 + (-1 - 1 + 4)*(3*u**4 - 3*u + 3*u).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3613120 and 224.\nAnswer: 3613120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 8*w + 11*w - 2*w**4)*(3*w - 10 + 10).\nAnswer: -3*w**5 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*q = 104 + 22, 225*g - 126 = 212*g + 3*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*r + 582 - 233, 2*z - r = 139. Let p = 113 - z. Suppose 0 = -5*t + p + 18. Calculate the smallest common multiple of 18 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2007 + -1246. Let n = -551 + d. Calculate the greatest common divisor of 168 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 0.1, -52, 3\/5 in decreasing order.\nAnswer: 2, 3\/5, 0.1, -0.2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + n)*(3*n - 3*n - n + (-3*n + 5*n - 3*n)*(-2 + 0 + 0))*(-2*n**2 + 0*n**2 + n**2).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*s**5 - 883*b**2*s**2 - 45*b*s**6 - 2*b*s wrt s?\nAnswer: 120*b**2*s**2 - 5400*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -12. Let g be (44\/(-6))\/((-10)\/30). Suppose j = -j + g. Calculate the greatest common divisor of j and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 1814*g**2 - 50*g + 45350.\nAnswer: 2*(g - 907)*(g - 5)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 22. Let t be s(9). List the prime factors of (67 - -6)*(t + -2).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.103 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 11*p\/2 - 5.\nAnswer: -(p - 10)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 154 (b) 30 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:37 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1100951 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 14*u + 16. Let v be 39\/1*(-15)\/(-45). Let h be i(v). Suppose -h*o + 8*o = a + 55, 60 = 4*o - 4*a. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202860 and 1209110?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f + 7. Let w(n) = 4 + 2 + 5*n + 0 - 2. Suppose -11*t + 25*t + 70 = 0. Determine t*w(p) + 3*v(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37434 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 69802.501 - -67.7\nAnswer: 69870.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -5. Let q be (-1 - v) + 3 + -2. Let z(t) = -t + 14. Let b be z(9). Solve l - b = q*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19482 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 17. Let t = 14 - i. Which is smaller: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 755580342 to the power of 1\/2, to the nearest integer?\nAnswer: 27488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -161.9525. What is f rounded to 3 decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.3, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1882.58517 to the nearest ten.\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 6*t**3 + 3*t**3 + 6 - 3*t**3. Let r(y) = -5 + 6*y**3 - 4 + 2. What is -7*d(z) - 6*r(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/80 - 21*a**5\/40 - 99*a**4\/16 + 121*a**3\/4 - 2*a**2 - 49. Solve x(j) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 4*a + 2*a + 23 - 22. Suppose l + 15 = -4*l. What is the units digit of p(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(700) - -4*(sqrt(700) + 0)) + sqrt(700) + -1).\nAnswer: -60*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58876756973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2. Let t = 10 + -6. Suppose t = 4*i - 12. Let n(x) = 1 - 5 + i - 2*x. What is g(n(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**4 - 15*a**3 + 25*a**2 + 15*a - 20 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 + m + 1. Let x be w(1). Suppose 0 = -2*a + 14 - x. Suppose 5 = 3*g - a. Solve -4*h + 2*o = 14, -2*h = -0*o + g*o + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -19*u + 15*u. Solve -3*p + u + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74465 divided by 6\nAnswer: 74465\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -37*k**2 - 7*k + 7. Let p(i) = -i + 43. Let g be p(41). Let h(s) = 12*s**2 + 2*s - 2. What is g*w(d) + 7*h(d)?\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 111*j - 12 = 115*j, 0 = -3*m - 3*j - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134706765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 2. Let a(z) = -z - 2. Calculate a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2. Let i(o) = 74*o + 76*o - 150*o + 19*o**2. Give i(j(y)).\nAnswer: 76*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1313 - (-4 + 5 - -2). Suppose -p = -8*i + 4852. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 19170430 - 19170430 + 2*x. Let v(j) = -10 - j + 1 - 2. Calculate v(d(k)).\nAnswer: -2*k - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 17. Let q(f) = -f + 3. Let h(c) = -10*q(c) + 2*r(c). Suppose -1 = -u, 4*u + 6 = -5*m + 5. Let x be (m\/(-3))\/((-3)\/(-27)). What is h(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.219736 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/42 + 5 - 12806\/(-2359).\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378369869 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -5750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341933399.\nAnswer: 41, 787, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -42441?\nAnswer: -42440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 16. Let n = -108.97 + 109. Let d = -0.03 + n. What is the third biggest value in d, 0.1, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256342 + 357963.\nAnswer: 101621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 15*u - 83*u in the form d*u + n and give d.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(0*q**2 - 2*q**2 - q**2) - 72*q**2 + 82*q**2 + 24*q**2.\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 65 - 30 - 30*h**3.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.879, 9, 0.04 in increasing order.\nAnswer: -2.879, 0.04, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 - 179 = -2*w. Let g be (-2)\/((-15)\/6 + 3). Let l be (-2 - g) + (-10)\/(-2). What is the greatest common factor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 0*l**2 - l**3 - 9*l**2 + 11 - l + 20*l**2. Let c be u(11). Suppose 5*i + 14 = -3*d, c*d = -2*d - i. Solve -6*y = -d*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59420 and -14?\nAnswer: 831880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 50. Suppose 5*a - x = 5. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-5 - (-3 - -1)). Let f(p) = 2*p**2 + 2*p - 2. Let w be f(x). Suppose -9 = -d - w*d. Solve d*t + 2*t - 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 - 30*h + 29. Determine t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.3206*-40.76\nAnswer: 53.827656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 174*x + 740*x + 0 + 1 as j + u*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2158150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5893722nm?\nAnswer: 0.00000005893722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -11*w + 14*w. Let p(n) = -3*n**2 - n + 9. Let b(i) = 2*i**2 + 2*i - 8. Let z(f) = w*b(f) + 3*p(f). What is z(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5011, -4967, -4913, -4843, -4751, -4631, -4477, -4283?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewmimxiimeueww. Give prob of sequence ewux.\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170.62 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5 + (-4 - -1) + 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11838 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -223*a**3 - 2451*a**2 - 51*a - 808. What is b(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*x = 5*b, 2060*x - b - 42 = 2064*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*n + 2*n + 120, -4*n - 2*g = -450. Suppose n = j - 72. What are the prime factors of j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -17 - (-1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3730\/2984)\/((-2)\/(-32)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*k, 2*n + 5*k - 2 = -13. Let j(u) = u**3 + 6*u**2 + 4*u - 4. Let b be j(-4). Let m be (-1)\/(-2)*b\/n. Let r(o) = 2*o**2 - 4*o - 1. Calculate r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3100 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-1215)\/(-54)))\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340860 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -28. Suppose 45*c - 30*c - o = 0. Sort -4, c, -2, 2.\nAnswer: -4, -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 + 46. Let a = z + 161.02. What is the closest to -0.1 in 2\/5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -10*i**5\/3 - 6995*i**4\/24 + 2473*i**3\/6 - 638*i**2\/3 + 142*i\/3 + 2654. Suppose b(f) = 0. Calculate f.\nAnswer: -71, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/15)\/((-1)\/(-2))*(-1350)\/405?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2705499 to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13843 and 105029.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 151. Suppose 3*z + 15 = 4*v + 79, -5*v - 65 = -3*z. Calculate the remainder when s is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9668.9993197 - 9669. Round i to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (98\/21)\/((-1)\/(-219)). Let z = a - -2243. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 4*h + 3. Let r be i(-4). Let a = -74 - r. Does 4 divide (-9)\/a + (-59)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 503\/3 + -168. Let l = 4 - -1. Suppose l*a - 2*a - 3 = 0. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Let w(p) = 5*p + 47. Let j be w(-9). Let b be (128\/48)\/(j\/15). Solve -4*q - b = -x*s, -s = -q + 3*s - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12749 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5105.135188 rounded to one decimal place?\nAnswer: -5105.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d, 5*k - 4 = k - 4*d. Let w be 1*-1 - 45\/(-25). Find m, given that 2\/5*m**k + 2\/5 + w*m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i**2 + 4*i - 1. Let y(g) = -g**3 - 3*g**2 + 5*g - 1. Let p(t) = 3*t**2 - 48*t + 5. Let j be p(16). What is j*h(a) - 4*y(a)?\nAnswer: -a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165\/2 - 83. Sort -1, 0.4, z in increasing order.\nAnswer: -1, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let n(q) = -603*q - 99. Determine n(t(a)).\nAnswer: 603*a - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2 + 5 + 3 - 4*r**2 + 1 + 10*r. Let n(a) = 14*a**2 + 2*a - 17. Let v(h) = 5*h**2 + h - 6. Let b(s) = 4*n(s) - 11*v(s). Determine -14*b(d) - 4*l(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 5*h**2 - 2*h + 4. Let u be i(6). Let f = u - 24. What is the derivative of f + 4*r - 1 + 2*r + r wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12110 (base 4) to base 3\nAnswer: -112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -21*x - 2. Give h(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 53312354?\nAnswer: 53312347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -11 (b) 2\/5 (c) 7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-18)*(-5 - -5). Suppose 4*u - 12 = u. Suppose -4*f + u*v + 392 = 0, -4*f + 360 = -z*f + 4*v. Does 47 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13122 - -3?\nAnswer: -13113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 + 1 + 3*x**3 - 3*x + 11*x**3 - 1.\nAnswer: x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/30 + 5*u**2. Let j(r) be the second derivative of 7*r**3\/2 + r. Calculate m(j(i)).\nAnswer: 882*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48690 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3978069.\nAnswer: 3, 137, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from thqttqhtqqytqttqtqt?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 266 - 296. Solve 7*v + o = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.921 - -36.0872. Let n = 68 - r. Round n to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18673 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 362176.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101119\/16 - 6324. Find the common denominator of k and (-10)\/8*(309\/(-25))\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*z - 195, 4*q - 286 = -3*z - q. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273324 + 17?\nAnswer: -273305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.3719 and -3.\nAnswer: 25.1157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1756, 1725, 1692, 1657, 1620, 1581, 1540?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0 - 0) + 8. Let p be (-1 - -6)*(-16)\/m. Calculate the common denominator of (-56)\/p*11\/(-1) and -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7 + 66594.\nAnswer: 66599.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2579*w - 16 = 2580*w, 0*d = -3*d - 3*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -112 (c) 4\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1683 and 5445.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o - 2*o)*(2 - 5 + 2)*(-o**3 + 12*o - 12*o).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 43c9ac4?\nAnswer: 43c9ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316432*s - 120841.\nAnswer: 316432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 160*i**2 + i - 2. Is b(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6244*b**3 + 1294*b**2 + 3*b - 3. Let z(n) = 6250*n**3 - 1293*n**2 - 2*n + 2. Let r(h) = -2*q(h) - 3*z(h). Find the third derivative of r(g) wrt g.\nAnswer: -37572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11096 + -11004 - (-1 - -2 - (-5 - -1))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(1\/(-40)*8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*1 - (0 + sqrt(2) + -3)) + ((sqrt(18)*4)\/sqrt(9) - (3*sqrt(2) + -1)))**2 + 4.\nAnswer: 80*sqrt(2) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429918571*m**2 - 429918582*m**2 + 859837155*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 666975, 666974, 666973, 666972, 666971?\n\"Answer: -k + 666976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 v when four letters picked without replacement from iwwvvzvyywa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by 49?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3158.404 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times 0.19208905\nAnswer: 0.441804815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -25*n**8\/2016 - 8*n**7\/21 - 143*n**6\/40 - 36*n**5\/5 - 81*n**4\/16 - 8*n**2 - 12. Solve q(t) = 0.\nAnswer: -9, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -g + 3*y, -2*g - 3*y = -20. Let c(i) = 16*i**2 - 409*i + 2372. Let r be c(6). What is the greatest common factor of r and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**4 + 7*y**2 + 0*y**3 + 0*y - 1\/30*y**7 + 0*y**6 - 2\/15*y**5 + 0. What is the third derivative of j(l) wrt l?\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejwgggeegwejeweeeeje. What is prob of picking 2 j, 1 g, and 1 e?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 + -0.4. Let z be 2*(-4 + 185\/45). Suppose 0 = -d + 1. What is the nearest to d in a, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = 84*j - 80*j. Let k be 3\/((-36)\/37) - (-90)\/j. Suppose 0*y + 4*y - 12 = 0, -7 = w - 3*y. Does k = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -286, -287, -288?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (sqrt(272) - (sqrt(272)*-1*-2 - sqrt(272))))**2 + -4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11888, 23785, 35684, 47585?\nAnswer: 59488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 581*f**2 - 579*f**2 + f**4 + 0*f**4 to the form m + o*f**3 + t*f**4 + w*f**2 + n*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4328, -8679, -13040, -17417, -21816, -26243, -30704?\n\"Answer: -y**3 + y**2 - 4347*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(0 - 4 + 1)*(-10*a - 18*a + 22*a) to the form g*a + d and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000109313 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11511 + -33797\/3. Let z = -250 + r. Calculate the common denominator of z and -61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:15 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Suppose -7*j + 60 = -3*j. Let r(u) = j*u + 15*u - 7*u. Give r(v(n)).\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10344, 1154 in descending order.\nAnswer: 1154, -5, -10344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 197, 3, 8.\nAnswer: -3, -2, 3, 8, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, -56, -176, -348?\n\"Answer: -26*c**2 + 10*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2963 is divided by 128.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g - 10250*g**2 + 2859*g**2 + 32*g - 13*g.\nAnswer: -7391*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20460 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 32 + -1 + -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + -1 - 779895\/(-8745)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13194 times -17.12\nAnswer: -2.2588128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*d = 5 + 10, -2*j + 12 = 4*d. Suppose 0 = 2*z + x, 3*x = 16*z - 12*z. Suppose j = -b - 3*o + 7*o + 11, z = -2*b - 3*o + 11. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62866283900 rounded to the nearest one million?\nAnswer: -62866000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/300 + a**5\/10 + 9*a**4\/20 - 81*a**3\/5 + 630*a**2. Factor l(v).\nAnswer: 2*(v - 3)*(v + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k - 344 = 11*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*a - 259 + 1186, 0 = -a - 4*m - 323. Let n = a - -342. Calculate the highest common factor of 279 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let l(r) be the first derivative of 5*r**2\/2 - 29. Give -4*l(j) + 22*q(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 2526480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (120\/(-8))\/5 + -2. Let o = 0.3 + -0.4. Let g = 0.1 + 0.9. Which is the nearest to -0.1? (a) g (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**8\/112 - 3*w**6\/40 + w**5\/10 + 10*w**2. Solve u(p) = 0 for p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.502 + -0.5020293. Round a to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -212 and -211 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnhthdv. Give prob of sequence hd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -235*j**2 + 2*j. Let t(c) = -c. Calculate a(t(v)).\nAnswer: -235*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i**2 - 2*i + 1. What is the remainder when 59 is divided by u(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n + 9888 = n. What are the prime factors of n?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 11 + 5 - -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 4*y**2 + 4*y + 1. Let j be p(-3). Suppose -3*g + 16 = -7*g. Let r be 12\/42 + g\/14. Sort j, -5, r in ascending order.\nAnswer: -5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104422 (base 5) in base 16?\nAnswer: -e99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2662 - 252 = 5*r, -2*g + 4848 = 3*r. Calculate the highest common factor of 90 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 867, 2, 145, 48 in increasing order.\nAnswer: 2, 3, 5, 48, 145, 867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161833238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l + 226 - 226)*(3 + 1 - 2) + 3*l + 3*l - 4*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 - k. Let u be s(3). Let x be (30\/(-18))\/(1\/u). Suppose 2*c = x - 1. Solve c*p - 6 = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 98 = -5*f, -6*t + 5*t - 11*f + 44 = 0. Calculate the greatest common divisor of t and 2882.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 929830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -45 - 44 - 49 + 138 + 44*i. Let n(k) = -2*k + 4. Let r(b) = 4*b - 9. Let m(u) = 9*n(u) + 4*r(u). What is m(d(g))?\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -w - 13. Let t = 63 + w. What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/17)*d**(-1\/6)*d\/d**(5\/4)*d*(d\/d**(1\/6))\/d assuming d is positive.\nAnswer: d**(49\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 13*h**2 - 21*h - 764. What is o(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1275 divided by -4\nAnswer: -1275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48423 + -2?\nAnswer: 48421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701 divided by -198.\nAnswer: 701\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160346177*r**4 + 11331674 wrt r?\nAnswer: 641384708*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 12*y**2 + 3*y. What is l(-8)?\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 - 289. Let v be (-1)\/(-5) + (-38)\/f. Solve 2*h + 5*l = v*h + 25, 0 = -2*h - 4*l + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:27 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*1\/((-2)\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1818*k**3 - k - 1834*k**3 + k + 3654*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-185)*-10 + (-1044960)\/12432?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 4*d**3 - 27*d - 4*d**3 - 21*d**2 - 2 + 8 + 4*d**3. Calculate the least common multiple of m(12) and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1134\/(-198) - -6 - (10\/(-45) + 4618\/6930)?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*s + 21, -2*s = -2*z - z - 27. Differentiate -s*k - 27 + 5 + 8 + 9 wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/240 - 13*y**4\/32 + 19*y**3\/12 - 194*y**2 - 2*y. Suppose s(g) = 0. What is g?\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/21 - 2752*i**2\/21 + 12092662*i\/21 + 575972 = 0 for i.\nAnswer: -3241, -1, 1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 43 = -34. Suppose -n*m - 4*f = -6*m + 4, f = m - 2. Factor 16 - 44*v - 10*v**4 - 60*v**2 + 53*v - 25*v - 8*v**3 + 30*v**m.\nAnswer: 4*(v - 2)*(v + 1)**2*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/6, 10, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144476.3 nanometers to centimeters.\nAnswer: 0.01444763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2. Let z(l) = -7 + 4 + 3 - 18*l**2. What is j(z(i))?\nAnswer: 324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 13)*3 + 0 + 62 + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = v - 26. Let q(l) = 10*l**2 + l - 1. Let n be q(1). Calculate the greatest common factor of v and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/3 - 33694*m\/3 - 22460 = 0.\nAnswer: -16845, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 5778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*g + 8 = 0, -295*o + 300*o - 6*g - 24 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -i - 87, -4*h + 26*i + 81 = 27*i. What is the remainder when 732 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7486.89749 rounded to the nearest 10?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6390 and 6570.\nAnswer: 466470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16929, -16924, -16919?\nAnswer: -16914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262 + 151. Let m = w - -334. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7 + 5. Suppose -o*k = 4*g - 3*k - 13, 4*g - k - 3 = 0. Find the second derivative of -n**2 + n**2 + n**3 + g*n wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -485, -513, -561, -635, -741?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16074 take away -10007?\nAnswer: 26081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhrhhhhhhhhhrhhhhhh. What is prob of sequence hhhr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97.519 and -0.03?\nAnswer: 2.92557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*b - 9 + 1299*b - 245*b + 14)*(2*b + 2 - 2).\nAnswer: 1892*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-25) - (-64)\/10. Let k(d) = -7 + s + 16*d + 1. What is the remainder when k(1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -420030.7574407 and 0.2?\nAnswer: 420030.9574407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -6 - 1\/1. Suppose -1 = -n + c. Suppose 0 = n*r - 3 + 7. What is the nearest to r in -0.4, 0.1, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + 47*b + 6010. Determine o(-27).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 383*n - 23915. Calculate v(59).\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 70*w. Let p(g) = -37 + g - 6*g + 37 + 6*g. What is k(f) - 56*p(f)?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(((sqrt(110) - (sqrt(110) - 2*sqrt(110)) - sqrt(110)) + sqrt(110))\/sqrt(11)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 28079*u**2 - 4717766*u - 19320264.\nAnswer: (u - 171)*(u + 4)*(u + 28246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p**2 + 0*p + 913 - 459 - 442 + p**3 - p. Let m be h(11). Calculate the highest common factor of 4 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 2*a)*(1 - 4*a - 1) - 5*a**2 - 8*a**2 + 4*a**2 + (0*a**2 + 3*a**2 - 2*a**2)*(4 + 0 - 3) - 5*a**2 + a**2 + 2*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 2 (c) 2922 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - -0.4. Let b be (1\/4)\/(10\/(-16)). Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565568 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -3. Let d = 80 - b. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6284 - -6282. What is the biggest value in 5\/2, -0.04, b, -1\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 389880 to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 467774.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12047 is divided by 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 28 + 168 + 70 + 65 + 64 - 395.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 6*y**2 + 3*y - 54. Calculate j(-7).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3647*l**3 - 4*l**2 - 14*l - 7 wrt l?\nAnswer: -21882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o + 14. Let n(l) = 10*l - 8. Let j(w) = 5*n(w) + 3*r(w). Let a = -1 - -1. Suppose 0 = -v - a*v + 4. Determine j(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 1 + 1 + (-v + 3*v + 5*v)*(-4*v + 2*v + 6*v) + (2*v**2 - 3*v**2 - v**2)*(-1 + 0 + 0).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uupuuuuu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3575883 is divided by 3960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160 is divided by 1006?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72620 and 1840.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 10*w**2 + 2*w - 27. What is m(-8)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 0 + (-5 - 19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 9 + (0 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 0 + 10 + -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 + -397. Let l be 4 - (-5)\/((-15)\/o). What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3) + 1 + -1254. Let z be (-1319 + 1*-1)*f\/75. Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 - 21 = 0. Let j(u) = u**2 - 6*u - 7. Determine j(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27246161 less than or equal to 27246160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + v**2 + 3*v**2)*(210 - 210 + 144*v) to the form s*v**3 + w*v + k*v**2 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 5*o - 5. Suppose 0*i = -4*i + 12. Suppose i*u + 2*u - 25 = 0. Let r(x) = -x**2 - 6*x - 6. What is u*r(k) - 6*b(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4806214 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1150 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768766 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066429 to 5 decimal places.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 187.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/2 - 41*s**3\/2 - 233*s**2\/2 + 245*s\/2 + 1275 = 0?\nAnswer: -34, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j**2 + 5*j - 45. Let c(q) = q - 8. Let o be c(13). Does 15 divide p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0 (c) -10 (d) -2 (e) -122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.369 - 4.369. Which is the fifth biggest value? (a) 3\/5 (b) h (c) 2 (d) 2\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/17 (b) 68 (c) -2 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 - 84288*b**4 - 888058368*b**3 = 0. Calculate b.\nAnswer: -21072, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.2 (c) -3 (d) 1421\/4 (e) 4\/7 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*m + 4*i - 14, -10 = -5*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/20*(-393)\/(-9) and 31\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 17 = o + 18, -5*o - 37 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*c = 5, 2*c + 12 = 2*y + 4*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6190634166 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1041 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10749.15 months to centuries.\nAnswer: 8.957625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w + 1. Let t(l) = 2*l**3 + 6*l**2 - 2*l - 12. Let x(p) = -i(p) + t(p). Let k be x(-6). Solve 4*v + k = 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 + 93985*u**3 + 470010*u**2 + 752060*u + 376040 = 0.\nAnswer: -2, -1, 18802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 7. Let q(z) = -2*z - 7. Let o(h) = 3*a(h) - 2*q(h). What is o(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 190 = -95. Suppose 0 = -5*n + 30 + 45. What is the remainder when r is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -10 - 0) + (2 - -1 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -9. Let o = 0.9 + -1.4. What is the third smallest value in y, -1\/6, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-12))\/((105\/12)\/35).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33328368 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 2476 + 604. Let d = -349 + f. Calculate the greatest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 3*j)*(15546*j - 8464*j - 8367*j).\nAnswer: 1285*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000880935647 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 9*v**2 - 36*v + 3. Let j be s(12). Is -20 - -21 - (-11880)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71363507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 - -23 - (-131 + 107)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53400 + 200201. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13861, 14316, 14771, 15226, 15681?\n\"Answer: 455*c + 13406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 17}. What is prob of sequence hs?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/6 + 2\/(-6). Let y = o - -31. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-12)\/89)\/(-4). Let l = t + 5637\/890. Calculate the common denominator of l and -59\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**2 - 23. Let l(t) = 2*t**2 + 2*t + 2. Let m be l(-2). Let v(d) = 4*d - 3*d + m*d. What is v(y(w))?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27771)\/(-2) - (5 + (-55)\/10). Suppose m = 2*p - 5555, -6*p + p + o = -m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 minus 1.6?\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/5)*u**(-11))**(-22))**(-1) assuming u is positive.\nAnswer: u**(-1144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g - 32*g + 32 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73066)\/1258 - (-276)\/3404?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21024.415 less than -2?\nAnswer: -21026.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 33896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = x. Is x\/1*2 - -129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026523054 less than -0.3?\nAnswer: -0.326523054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 22*s = -31*s - 660 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, g: 9}. What is prob of picking 2 k?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f - 185. Let p(y) = 23*y + 146. What is -4*p(x) - 5*v(x)?\nAnswer: 13*x + 341","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 103*o. Let q(v) = 148*v**2 - 52*v - 1. Calculate z(q(b)).\nAnswer: 15244*b**2 - 5356*b - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p - 18. Let y = -10 - p. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 3*s - 8. Calculate the remainder when 70 is divided by c(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/(c*c*c*(c\/(c\/(c*((c**(-2\/7)\/c)\/c)\/c)))\/c*c))**(-13))**(2\/3))**15 assuming c is positive.\nAnswer: c**(-2080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19569, 19578, 19585, 19590, 19593?\n\"Answer: -s**2 + 12*s + 19558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 + 374.5. Suppose -h = 3 - 8. Which is the nearest to -1\/4? (a) h (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 70534.11 milligrams?\nAnswer: 70.53411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -46*p**2 + 11*p - 10. Let d(o) = 46*o**2 - 10*o + 8. Determine -5*d(b) - 4*j(b).\nAnswer: -46*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 3*b. Suppose b*p + 0*p = 5*l - 80, 77 = 3*l + 4*p. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*b - 8629 = 25102 + 22513. Calculate the least common multiple of b and 9.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 93. What are the prime factors of 6\/6 + (c - -28)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -661 (base 10) to base 13.\nAnswer: -3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108) + -2 + sqrt(108))))*1 - (sqrt(108) + 2 + 1) - (4*sqrt(108)*4 + 1)).\nAnswer: -432*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4534*f**2 + 1539*f**2 + 1468*f**2 + 1533*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 7:13 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*h - 7 - 87, -2*t - 94 = -2*h. Suppose 137*u - 142*u = -120. Calculate the remainder when h is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 49 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -3. Let q = y + 22.45. Let w = q + 1. What is w rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 322*h**2*j**2 + h**2 + 4355*h*j + 44*j**2 wrt j?\nAnswer: 644*h**2 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 46*q. Let l(v) = -1524933*v. Give h(l(j)).\nAnswer: -70146918*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*c - 1288*c + 4284 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -0.5 (c) 67 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iitiiitii?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 122\/16 + (10 - (-308)\/(-32)). Suppose -g*h = 15*h - 115. Is -1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.2. Let l = -1 - 0. Let z = -16.88 - -20.88. Which is the biggest value? (a) l (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40030 - -72793. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Solve 318*u = 319*u - 8*s - 33, 0*u - 4*s = 3*u + u + 48 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m - 4*m - 136. Does 6 divide 116\/5 + ((-252)\/35 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.50481 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 23*z**2 - 3*z - 43. Let d be a(-23). What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = -3. Let d be ((56*h)\/(-4))\/1. Let y = -17 - d. Let w(s) = s**3 + 2*s**2 - s + 2. What is w(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from sssussu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -276 + 288, 9 = -4*y - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7580 - -7579. Which is the closest to y? (a) 2\/11 (b) -9 (c) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/6 - 2*x**2 + 5*x. Let j be r(-4). Suppose j = -0*n - 5*n + 80. Solve 5*g + n = -9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107595 (base 10) in base 12?\nAnswer: -52323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 232992 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g. Let t(b) be the second derivative of 0 + 0*b**2 - 14*b - 1\/6*b**3. Give t(p(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = k - 12, 4*k = 5*u - 84. Suppose 2*y - 5*a - u = 0, 5*y + a + 4 - 17 = 0. Solve 39\/2*f**2 + 3\/2 - 90*f**y + 15*f + 54*f**4 = 0 for f.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1385658, 2771338, 4157032, 5542740, 6928462, 8314198?\n\"Answer: 7*c**2 + 1385659*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/9 + 766438*a**3\/9 - 8158668640*a**2 - 8158753800*a.\nAnswer: -2*a*(a - 191610)**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12 - 4\/(-3). Differentiate 28*o**l - 50*o**2 - 13 + 19*o**2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -41*w**2 - 76*w + 242. Calculate m(4).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l - l - l)*(-7*l**2 + 4 - 29*l**2 - 34474*l**3 + 34476*l**3) to the form v*l**3 + g*l**2 + c*l + p + w*l**4 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n\/((n\/n**(2\/3))\/n)*n)*n)\/n)\/n)\/(n**8\/n*n))\/(n**(2\/9)*n*n\/(n*n\/(n*n\/n**(5\/2)))) assuming n is positive.\nAnswer: n**(-169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61046a + 4?\nAnswer: -610466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4559 and 0.03284.\nAnswer: 149.71756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -28. Suppose -3*d = -i + j, 2*i + 0 + 2 = d. Let g(w) = -w**2 - 9*w + 41. Let o be g(3). Sort o, -5, -3, d.\nAnswer: d, -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxc when three letters picked without replacement from {x: 2, a: 3, c: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1820551, -1820797, -1821207, -1821781, -1822519, -1823421?\n\"Answer: -82*u**2 - 1820469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 10065210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-590)\/(-75)*-6*(-15)\/6 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*u = -679 + 258, 5*u = -5. Calculate the greatest common factor of o and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -11, 0, -8 in ascending order.\nAnswer: -11, -8, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 2*n**4 - 8 + 0*n**2 - n**2 + 12 + n**3 - 3*n in the form p*n + m*n**2 + z*n**4 + o*n**3 + b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 - 110*s - 605 = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -49*d**2 + 37*d + 4. Calculate o(-1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 - 7*k - 3. Let l = 16 + -9. What is the remainder when l is divided by c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 0.08?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2567 times 0.061639\nAnswer: 158.227313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1300) + 2 + sqrt(1300))*-2 + (sqrt(1300) + -1 + sqrt(1300))*2*3)**2*-1*3.\nAnswer: -249900 + 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**6*w*w**(8\/11)*w*w*w**8*w**(2\/23) assuming w is positive.\nAnswer: w**(1977\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.22 - -4.2199719. Round p to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-18)*(15\/(-2) - -12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 781 divide 1516702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/104329?\nAnswer: 14\/104329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 5736*i**3 + 63199*i**2 - 103446*i.\nAnswer: -i*(i - 9)*(i - 2)*(i + 5747)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 0. Let r(x) = -121*x**3 - x**2. Let n be r(-1). Let j = n - h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3112121 (base 8) to base 15.\nAnswer: 114401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*q + 18 = 0, -3*h - 4*q = -0*h - 17. Let r = -5 + h. Let g = 0 + -1. Sort g, 0, r in ascending order.\nAnswer: g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -14. Let h be 66\/z*-2*2. Let f = 55 - h. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - a)*(-1 + 1 + a**3) + (-6*a**2 + a**2 - a**2)*(3*a + 2*a - a)*(1 + 3 - 5)*(-43*a + 56*a + 129*a).\nAnswer: 3406*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -100?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/20 + f**4\/4 + f**3\/2 - 2*f**2 - 3*f. Let p be t(5). Let q = 4423 - 4461. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14737 + -15798.\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37101681 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -3\/8, -18, -2\/17, -50?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + t + 4019 = 0, -5*t + 2668 = 7*l - 5*l. Let d = l - 621. Calculate the remainder when d is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 6355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -5*r**4\/12 + r**3\/2 - r**2. Is g(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 2651264406.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10467587*s**4 + 12976888*s wrt s?\nAnswer: -125611044*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256\/7 - 772\/21. Let f = a - -1\/21. What is the third biggest value in 2, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 23*u**2 - 17*u - 73. Is n(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(1088)*-4 + -5 - (-3 + sqrt(1088)*-4))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 439*m - 440*m + 2*n, 7*n = 5*m - 16 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) -3\/8 (c) 272412\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -11\/6*p**3 + 5\/6*p**4 - 2*p - 35 + p**2. What is the second derivative of q(r) wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -289, -1675, 2\/17.\nAnswer: -1675, -289, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*h - 72, -9 - 91 = -3*s + 2*h. Suppose 5*k + 3*v = 64, -6*v = -4*k - 2*v + s. Suppose -2*d + k = 3*t, 2*t - 2*d = -7*d - 11. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 - -481920733.\nAnswer: 481920510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**2\/2 + 24*u. Let o(k) = -2*k**2 + 4*k + 3. Calculate 4*c(h) - o(h).\nAnswer: 2*h**2 - 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + 5*u**2 + 2*u**2)*(-u + u - u) to the form q*u**3 + d + t*u**2 + a*u and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 23 - 145 + 30 + 54*h**2 + 64.\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 90. Let t(w) = -2*w**2. What is t(i(k))?\nAnswer: -2*k**2 + 360*k - 16200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a micrometer in nanometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 273297576 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let k(a) = 2*a**2 - 1. Let j be k(-1). Let i = j + n. What is the highest common factor of 49 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 18 (c) -3 (d) -4756\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -4, 4, -218.4, 0.2 in increasing order.\nAnswer: -218.4, -4, 0.2, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.937 + -0.78044. Round c to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 9*k + 32*k)*((0 - 1 + 0)*(-2*k**3 - k**3 + 5*k**3) - 632 + 632 + 87*k**3).\nAnswer: 3825*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -15. Let d = 13 + p. Let w(a) = a**2 + 8*a - 5. Determine w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.7533 millilitres in litres?\nAnswer: 0.9847533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -257, -461, -675, -905, -1157, -1437?\n\"Answer: -c**3 + c**2 - 200*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -779*i**2*k**2 - 11*i*k**2 - i + 18*k**2 - 239 wrt i?\nAnswer: -1558*i*k**2 - 11*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let b = z + 6. Let i = 7 - b. Solve 0*s + i*l = 3*s - 19, s + l - 4 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-49 - -40) + 0\/(-1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1017280 or -1017257?\nAnswer: -1017280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, a: 3}. What is prob of picking 1 x and 2 a?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v. Let p be b(-1). Suppose 4*g - 8 = -p*r, -5*r - 3*g = -1 - 7. Let n = -1877 - -1879. Solve 8 = -5*y - 2*d + r, -n*y = 2*d + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104) + (sqrt(104) + 1*sqrt(104) + sqrt(104))*5)*6)\/((sqrt(392) + (sqrt(392) - 6*-1*sqrt(392)))*3).\nAnswer: -20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = 4*l, l = 4*i + i - 17. Suppose -8*k + 246 = -i*k - s, 5*s - 170 = -3*k. What is the least common multiple of k and 165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 2\/3.\nAnswer: 0.2, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -197*b + 2. Let d be h(-2). Suppose 2*k = -2*o + 160, -2*o = 5*k + 2*o - d. Calculate the greatest common divisor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.2202 + 0.2202. Which is the closest to -2? (a) 0 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611 divided by -3611?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/49 (b) 3 (c) 2\/15 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -306*m - 2. Let h(d) = -2*d**2. Give y(h(p)).\nAnswer: 612*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x - 3*b - 210, -2*x = -4*x - 4*b - 132 + 158 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 11*t + 6. Let c be n(10). Suppose -3*d + c = 3*h, -2*h = h - 3. Suppose -f = -d + 13. Calculate the least common multiple of f and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -220, -298, -440, -652, -940, -1310?\n\"Answer: -w**3 - 26*w**2 + 7*w - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -162253*-31\nAnswer: 5029843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741357367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 2*b**2 + b**2 + 7 as t*b + y*b**2 + s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406*g = 1451*g - 225. Let x = -16 + 1. Which is the closest to -9? (a) -0.1 (b) x (c) g (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010 (base 2) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6844 - -410609\/60. Find the common denominator of 18\/(-12) + 1352\/560 and p.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**3\/3 - j**2 - j + 3. Let w be (-5)\/2*16\/20. Let g be s(w). Let x(l) = -l**2 - 4*l + 3. Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 5 - (-2 + 3). Let u = y + -4. Let l = u - -32. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let i(t) = -32*t + 7. Let y(q) = -30*q + 8. Let r(o) = 3*i(o) - 4*y(o). Give m(r(s)).\nAnswer: -48*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 0.018.\nAnswer: -5.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2598 divided by -2598.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149360 divided by -3?\nAnswer: -383120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312557508 and 5736.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/59661 (b) -0.8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) -6\/13 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 6*m**2 + 0*m**2 + (-4*m + 7*m + 4*m)*(4 - 3 + 0)*(-m - m + 0*m) - 7*m**2 + 0*m + m + 8*m**2 in the form r*m**2 + o*m + x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26105 = -104*c - 30889 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-22 - -16 - -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000034151 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - 5*a)*(-31 + 30 + 39) + (5*a + 0*a - 3*a)*(0 - 2 + 1).\nAnswer: -78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + w = 0, -2*w - 23 + 7 = 2*n. Let u(o) = o - 1. Let b(f) = -2*f + 2. Determine n*u(j) - 3*b(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -14*(-4)\/(-8). Suppose -2*d = o*u - 14 - 4, 2*u - 3*d = 11. Suppose u*a - 41 = 19. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000211101111 - 11?\nAnswer: -2000211101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -477\/4, -24, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oovvovvvvvovvvvovvv?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.2, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/16522 and 97\/21028?\nAnswer: 231308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2. Let x(j) = 5789111*j**2. Determine z(x(h)).\nAnswer: 234596643192247*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7472\/24*(-2)\/(-20) - 53\/((-1590)\/(-4))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhkhhhhkh. Give prob of picking 4 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 - -1 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (17 - (1 + 4) - (-2 + 10 - 27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i - 23. Let u be q(-11). Solve u*p = 7*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 0.05 (c) -0.4 (d) -0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8*i**(-4)*i**(2\/9)*i*i*i*i**6 assuming i is positive.\nAnswer: i**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 5*(1 + sqrt(7))**2)*-6.\nAnswer: -240 - 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/29 and -6\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*g - 376*g + 14940 = 116*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 25 + 23 = 0. Which is smaller: -1\/56 or f?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 6*s - 6. Let b be k(4). Let p = -80 + 82. Find the second derivative of 6*u**b - 3*u**p - 5*u + u**2 wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*p + 3*b + 210, 0 = -5*b - 25. What is the greatest common divisor of 117 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146647 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l)**(1\/71)*l**1\/(l\/l**(6\/7)) assuming l is positive.\nAnswer: l**(1313\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:43 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-325)\/105 + (-45)\/18*(-6)\/5\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*b**4*y**2 + 12*b**3*y**2 + 3*b**3*y - 14233*b**2*y**2 - 395*y**2 wrt b?\nAnswer: -2112*b*y**2 + 72*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -1\/2 (b) -3 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42100 and 2200?\nAnswer: 926200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 819731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10 - (-92)\/18)\/((-12)\/9)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + 74. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-24) + 955\/40. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/392*-14*21\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 + 3*t**2 - 317. Let u(o) = -7*o**3 + 5*o**2 - 635. Calculate 5*a(x) - 3*u(x).\nAnswer: x**3 + 320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1867.03302 + -1867. What is d rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {n: 2, b: 1, q: 1, t: 2, m: 1, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94814841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**3*v + q**3 - 11*q**2*v - 2*q*v + 71*q + 49834*v + 1703 wrt v?\nAnswer: -q**3 - 11*q**2 - 2*q + 49834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125*(-2)\/(-3)*6885\/(-7650).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g**3 + 19*g**2 - 11*g + 5324 wrt g.\nAnswer: -24*g**2 + 38*g - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 101*t - 19 + 95*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 2\/((-4)\/(-38)). Suppose i + y = -2*i. Is (-1 - -66)*i\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**3\/3 + 6*l**2 - 3*l + 1647. What is n(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (2*-1 + 1). Suppose -c - v*c = 20. Let p = -2 - c. Solve -p*d - 2*d + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 3*o)*(2*o - 3*o + 2*o) + 2*o**2 - o**2 + 0*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 15*x**2 + 6*x + 9. Let m be y(-11). Suppose 2*t - 2*u = -t + 324, 4*t = u + m. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 1872\/(-90))\/((-3)\/10) - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/8 - 57413*p\/8 - 28707\/4.\nAnswer: (p - 57414)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.0689, -11, 1\/3, -2, 0.1, -3 in descending order.\nAnswer: 1.0689, 1\/3, 0.1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 9153, -3, 17 in descending order.\nAnswer: 9153, 17, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 - 1479*k**2 + 78480*k + 248832 = 0?\nAnswer: -3, 64, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/372 and -67\/67502.\nAnswer: 12555372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 4. Let o be i(4). Let p be 5 - 2 - o - 25. Let c = 43 + p. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/3 + (-6)\/(-9). Let f(t) = t**3 - 10*t**2 + 6*t + 19. Determine f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - 256.4. Let r = u + 256.999999847. What is r rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16971893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 7460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 19 - 5)*((-m**2 + 6*m**2 + 7*m**2)*(m**2 - m**2 - 3*m**2) + (0*m**2 - 3*m**2 + 5*m**2)*(2*m**2 + 4 - 4)).\nAnswer: 704*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2*c**6\/15 + c**5\/5 + 5*c**4\/3 + 2*c**3 - 5*c + 26. Let j(v) be the first derivative of t(v). Determine l so that j(l) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = k + j + 258, -3*k - 4*j + 10 = 0. Solve -13*r + 46 = k*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5838320 and -32.2.\nAnswer: -5838352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(385)\/(sqrt(112) + sqrt(7)))\/sqrt(5) - (-5*sqrt(88)*-2)\/sqrt(8)))**2.\nAnswer: 196*sqrt(11)\/5 + 26511\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 10*w + 2. Let s be k(8). Let l = -26 + 6. Let f = s - l. Solve f*h - 10 = 3*h + 4*a, -5*h - 6 = -a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-319) - 46\/88.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 10*b - 15. Let g be r(-10). Let c(s) = -s. Let x be c(9). Let i be -6 + x + -2 + 2. Is i at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5599 or -10536?\nAnswer: -10536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2690, 8215, 26390, 51835?\nAnswer: 84550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 3:03 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.19, -1, 7, -1\/5, -507\/4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10306 - 4942. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 185745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163.793 + -0.207. Let i = d - -110. Let b = i - -53.8. What is the biggest value in 19, 0, b?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190266*h**3 - 1151896*h**3 + 279740*h**3 + 514561*h**3.\nAnswer: -1547861*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361 and 380703741?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9 - 312351997057.\nAnswer: -312351997060.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 50066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 83 - 9 = 0. Let p = f + 52. Let z = p + -13. Solve 3*w + z = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/14)\/(2\/36). Let c be y*((-3)\/(-2) - (-65)\/(-30)). Suppose -n + 45 = 4*n. Calculate the greatest common factor of c and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.028*-615510\nAnswer: 17234.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = 3994 + 9502. What is the tens digit of (1*y)\/(-5 + 12\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 2*j**4 - 3*j + (-1 + 3 + 0)*(-2*j**2 + 2*j**4 + 2*j**2) + (2*j**2 + 6*j**2 - 4*j**2)*(-1 + 1 + 2*j)*(2*j + 2*j - j)*(35 + 19 - 4).\nAnswer: 1202*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - 5*m**2)*(2*m + 0*m - 4*m)*(-3*m**2 + 4*m**2 - 5*m**2).\nAnswer: -40*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1505680789 - -1505680016.0001082. Let o = y - -773. What is o rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40211738 and 49?\nAnswer: 281482166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 9*b + 3*b)*(3 - 1 + 4) + (-3 + 4 - 3 + (-5 + 1 + 5)*(3 + 0 - 1) - 3 + 0 + 1)*(-4*b + 45*b - 7*b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47102085 a multiple of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**4 + 4*m**3 + 2*m - 4. Let f(b) = -b**4 - b**3 + 1. Let t(s) = -3*d(s) - 12*f(s). Find the second derivative of t(l) wrt l.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, g: 2}. What is prob of sequence yyg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/12*(-411)\/21. Suppose 0 = 3*i - 155 + m. Calculate the remainder when i is divided by (-2)\/6 + (-20)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4070968127 to the nearest integer?\nAnswer: 63804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 3*f**2 - 4*f + 2. Let u be q(1). Let m be u*3\/(-2)*1512\/54. Calculate the highest common divisor of m and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/115 + (-214)\/5. Which is smaller: o or -167\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54*-0.95225.\nAnswer: 0.514215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, -34536, 4 in descending order.\nAnswer: 4, -0.1, -0.2, -34536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-8 - 7 - 10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 5*i + 43 + 5*i + 3*i. Let q(u) = 9*u**2 - 4*u + 5. Calculate the least common multiple of q(1) and r(0).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k - 7*k - 7 + 7. Let v(s) = 5*s**2 - 5*s**2 + 3*s**2. Calculate h(v(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 281 = 171*t + 319 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, x: 1, n: 6, k: 2}. Give prob of sequence nk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*v - 352*v - 352*v - 358*v - 348*v - 305*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520993976 to the nearest integer?\nAnswer: 22825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v**3 + 2*v**2 - 24*v**3 - 178 + 50 to the form j*v**3 + s*v**2 + b*v + g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -501 and -502 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490205006.\nAnswer: 2, 37, 1601, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -1.5. Which is the closest to 0.1? (a) g (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 2*w**3\/3 - 101*w**2\/2 + 166*w. Let b be n(27). Solve -2*h = -4*h - 5*s + b, 24 = -3*h + 4*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -631*q - 10. Let g be (-3)\/(39\/30 - (2 + -1)). Let c be b(g). Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 1. Let f be (0 + -3 + 2)*2. Let u = 3 + f. Let n be j(u). Solve -4*l = 5*k + 8, 0 = -n*k + 3*l - 9 - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + 0*y)*((1 + 0 - 3)*(0 - 3 + 1) - 5 + 4 + 0 - 2 + 4 + 0).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + 4. Which is the closest to 0.2? (a) -0.2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x + 4*l = 39*x - 319, 9 = -l. Solve 4*v + 295 - x = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.38 + 0.48. What is the second biggest value in -4\/5, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) - sqrt(77)*1*5))))\/(sqrt(539)*-3))**2 + 2.\nAnswer: 151\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Let a(r) = 24*r + 6. Let n be a(d). Let s be ((-4)\/(-10))\/(n\/(-10)). Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1158509009.99999934 + 1158508927. Let c = -83 - n. Round c to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 + 15*y**4 - 57*y**3 - 195*y**2 + 450*y.\nAnswer: 3*y*(y - 3)*(y - 2)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*f = 3, 1 = 4*k + f - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730 times 1921?\nAnswer: -5244330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/376135 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 23 + 0*k**2 + 3*k**2 + (4*k - 5*k + 3*k)*(-k - 5*k + 4*k) - k**2 + 3*k**2 + k**2 as d + n*k**2 + f*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*o = -10, -4*i + 7*i + 5*o = 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bububbbububuu. Give prob of picking 2 u and 1 b.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 - 398. Let p = -71 - c. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/3 - 21513245*f\/3 + 43026430.\nAnswer: 5*(f - 4302643)*(f - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/156 - 1120\/585.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s - 1. Calculate d(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 20*s**2 + 6*s. Let u(x) = -x**3 + 11*x**2 - 3*x. Give 5*u(o) + 2*z(o).\nAnswer: -3*o**3 + 15*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let a(v) = v. Let n(k) = -4*a(k) - 2*t(k). Let b be n(1). Sort b, 10, 0 in descending order.\nAnswer: 10, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 64*f - 734. Determine a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -28. Suppose -c + 21 = r*c. Find the second derivative of 0*u**3 - 6*u**c - 10*u**3 + 12*u wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 + o. Let y be v(-2). Let r = -8 + y. What is the units digit of 2\/6 - 4\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*l**3 + 4*l**3 - 7*l**3 - 2 + l to the form p + r*l**3 + d*l + y*l**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37175204, 74350398, 111525592, 148700786, 185875980?\nAnswer: 223051174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, y: 1, u: 3, g: 5}. What is prob of picking 1 g and 1 z?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 - 78 = 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 19771, -6, -5 in ascending order.\nAnswer: -6, -5, -2, 3, 19771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -10.9. Let h = -108 + 91. Is h < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 5. Let d be t(-7). Let n be (d + 0)*58\/4. Let i = n - -35. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317 + -164. Let d = o + -152. What is the second smallest value in -4, -2\/15, 8, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 25*p - 42. Let y be c(-28). Let i(b) = 3*b**2 - 127*b + 45. Let d be i(y). Solve 3*q + 5*o - d + 5 = 0, 3 = -3*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/12, 3, -14, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463990962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 147, 190, 251, 336, 451?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-741))\/(-4)*(21 + -19). Let y be (-3)\/(-4)*956\/2964. Let m = g + y. Which is the smallest value? (a) m (b) 0 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -56. Find the first derivative of -16 - 73*z**4 + 4 + 30*z**a wrt z.\nAnswer: -172*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 10, 44, -4, 5, -2, -1.\nAnswer: -4, -2, -1, 5, 10, 44, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*a**4 - 112*a**2 + 112*a**2)*(3 + 2 + 1)*(1 - a + 5*a - 3*a).\nAnswer: 348*a**5 + 348*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.452 - 0.052. Let h = 6 - n. Let a = 0.392 + h. Round a to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -14*m + 6*m - 4*z, -2999*m + 3001*m + 29 = -3*z for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -314, -302, -290, -278, -266?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 396\/288*(6 + -15 + 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 170856017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*s + 12 = 0, -2*o = 7*s - 4*s + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*z + 32, 250630*z + 20 = -5*y + 250629*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.539127943 to two dps.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -145. Let c = -702 + 700. Sort 1, c, w in decreasing order.\nAnswer: w, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttpppttttp. Give prob of sequence tp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 843 + -833. Suppose 3*s = x - v, s - 4*x = x + 20. Let d(p) = 7 + 2*p**2 - 3*p**2 + 5*p + 2*p**2. Give d(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-4 - -6))\/2. Suppose r - 2 - 1 = o. Suppose -5*k + 1925 = 3*g - 0*k, 0 = 5*g - r*k - 3163. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*v - 0*v. Let o = 15 - v. Suppose 5*r + 2*z = 14, -5*r + o = 4*z + 3. Solve l - r + 0 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-4*g - g + 3*g)*(-2*g + g - 2*g)*(-54*g + 0*g + 4*g + (-g + 2*g - 3*g)*(0 + 2 - 4))*(-1 + 0 + 3).\nAnswer: -552*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120343014140 + -10?\nAnswer: -120343014200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, 3, 0 in descending order.\nAnswer: 3, 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8886047 nanoseconds?\nAnswer: 0.0000008886047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 11. Let d be v(8). Let c = -3 + d. Solve c*n - 7 = 2*z - 15, -n - 4*z = -11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1404 and 52299?\nAnswer: 209196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3425*u - 20603. What is d(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 3*p - 1. Let h be s(-7). Let n = h + 132. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 69*d**4 + 579*d**3 + 2079*d**2 + 2646*d = 0. Calculate d.\nAnswer: -7, -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1837+47747\nAnswer: 45910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.08 (c) 8 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3273, 13435, 30371, 54081, 84565?\n\"Answer: 3387*h**2 + h - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) 7 (c) -0.4 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48.71*-0.014\nAnswer: 0.68194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.454826 take away 184608.11?\nAnswer: -184607.655174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -4420\/59?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 26*q**2 + q - 13. Let s be v(13). Is s bigger than 1411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 17 = -3*u, 0*k + 3*k = 2*u - 13. Suppose -3 - 6 = -u*g + 2*f, 5*g - f = 12. Solve -g*x - 1 = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 + 8*q + 21*q**2 - 21*q**2 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(539) - (-2 + sqrt(539) + -5))*-1 + -4 + -4)**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2751.586m to nanometers.\nAnswer: 2751586000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (4 - 2) + (-158 - -65) + 99.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 182208 = -51*n. Is n a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-5) + (-1)\/(-5). Suppose -x*b + 2 = -2*b. What is the units digit of 6 + -2 + b\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxxxxjxxjgxxjxxxxjx. What is prob of picking 3 x?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2162 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (44\/12)\/((-4)\/(-684)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 254 - 129 + f**2 + 223)*(4*f**2 - 10*f**2 - 4*f**2).\nAnswer: -10*f**4 - 20*f**3 - 3480*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1354*x**2 - 3314*x wrt x.\nAnswer: -2708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yimimiiiiyyyi. Give prob of picking 1 y and 2 m.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = -50*r + 2336. Suppose 461 = 4*c - u + 4*u, -5*c + 4*u + r = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 5 = -u. Let z be (5\/5)\/(u\/(-3)). Solve 3*l + z = -4*w - 2, l + 5 = -3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032382523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 30*u + 584. Let s = -141 + u. Solve 2*q - q = -s*k - 6, 5*k + 5*q = -10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 1352?\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181344528619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-63)*6 - 6904\/(-3). What is i rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/2, -1, 1\/8, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/w**2*w**7\/(w*w**(3\/10)) assuming w is positive.\nAnswer: w**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683950343.\nAnswer: 683950343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*t + 7840 = -271*t + 234*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58 - 111?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -16.1. Let h(x) = -x - 3. Let c be h(-2). Let k be -3 + 0 - c - 0. What is the second smallest value in -1, k, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(-1*(-1)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19363 + -12121. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(33) - (sqrt(33) - sqrt(396)\/sqrt(108))))\/(sqrt(147) - (sqrt(147) + 2*2*sqrt(147))).\nAnswer: sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169333341767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1384659782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.6, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 1. Let n(v) = v**2 + 7*v + 7. Let d(c) = 6*c + 6. Let w(h) = -5*d(h) + 6*n(h). Let f(q) = 15*b(q) - w(q). Find l, given that f(l) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(147\/6)\/7. Suppose 102 = p*m - 73. What is the highest common divisor of m and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 2. Let k be q(5). Let n(y) = y**3 - 8*y**2 + 7*y. Let a be n(k). Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.373 + -0.1.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 1)*(-175*m**3 + 18*m**4 + 31*m**4 + 178*m**3).\nAnswer: -245*m**4 - 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 2\/19, -0.3 in descending order.\nAnswer: 2\/19, 0, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000021102 - 11?\nAnswer: -111000021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 9*v**3 - 2*v - 5*v**3 + 100*v**4 as p + f*v**4 + c*v + m*v**2 + h*v**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.7203 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 30. What is i(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 1. What is the units digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*d = 3 - 18, -d - 3 = 0. What is the closest to 1 in -2\/57, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1476\/10332)\/(4\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*l, -l + 114*x - 59*x + 3 = 59*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6712 + 4236 = 210*v + 9914 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97709 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-46.4387.\nAnswer: 199.68641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*w**2 + 116*w**2 + 3 - 161*w**2 - 168*w - 3.\nAnswer: -3*w*(w + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (3 - 1)\/2. Suppose 0 - 39 = -h + v, -4*h = -3*v - 158. Suppose s = 3*a + h - 104. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -96*((-6)\/(-8))\/(33\/(-22)). Suppose 27*f + c = 33*f. What is the highest common factor of 104 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*q = -291*q - 8790 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 52*v**2 + 2*v - 1. Let d be g(1). Let i = d + 97. Let p be i\/22 + 8\/44. Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (427\/21)\/((-1 + -1)\/(-12)). What is the second derivative of 1382 - 92*z - 1382 + i*z**2 wrt z?\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a. Let h(l) = -10*l + 7. Let c(t) = 4*t - 2. Let q(d) = -2*d + 3. Let u be q(5). Let x(b) = u*c(b) - 2*h(b). What is z(x(p))?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/16 and -83\/1261452?\nAnswer: 5045808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -221*t + 220. Let i(b) = -441*b + 437. Let v(w) = -4*i(w) + 7*s(w). What is the first derivative of v(a) wrt a?\nAnswer: 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 6080*v**2 + v - 6103*v**2. Let y(c) = -c. Determine d(y(i)).\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 74 = 12*i + 19*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23577195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*10\/16*-1*-168?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 - 2*q + 9. Let a(v) = -4*v**2 - v + 5. Let d be 2\/5*(8 + 2). Let m be -3 + d\/1 + 1 + -5. Calculate m*j(u) + 5*a(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 9*s**2 - 10*s + 4. Let a be k(-8). Suppose -y = -2*d + 7, 4*d - 8 = -5*y - 1. Suppose d*l = -l + a. Solve 3 = -l*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -7*j + 9*j, 0 = 5*p + 2*j - 18. Let a be p + (-3)\/(-24) + 47\/8. Solve -c = 4*o + a, 4*o + 4*c + 1 + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)*1\/1. Suppose q*b = b - 28. Let h(v) = v**2 + 10*v + 3. Let d be h(-11). Calculate the highest common divisor of d and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16 - 3 - -22 - 0. Solve -56*j + 52*j + 8 = -s*x, -4*x - 14 = -2*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5*w**4*(w\/((w*w**(-1))\/w))\/(w**(1\/4)\/w*w*w*w) assuming w is positive.\nAnswer: w**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11231 - -24?\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-21)\/28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5 + 3 - -8)) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 2*c + 3 - 11, 0 = 4*c - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**15))\/(k*(k\/((k*k\/(k*k*(k*k**(-1\/41))\/k))\/k))\/k*k))\/(k*k**(-1))**(-21) assuming k is positive.\nAnswer: k**(-737\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**7\/840 + 3*p**6\/160 - 31*p**5\/120 + 9*p**4\/8 - 7*p**3\/3 - 13*p**2. Solve z(o) = 0 for o.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**6\/90 + u**5\/15 - u**4\/6 - 2*u**3\/3 - 43*u**2\/2 + 55. Let y(v) be the third derivative of f(v). Factor y(q).\nAnswer: -4*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 5626*s**4 + 5273396*s**3 - 1645195720*s**2 - 1756168624*s + 33011746880.\nAnswer: 2*(s - 938)**3*(s - 4)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/232, -0.2, -5, -14?\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/6 + (-9 - 740\/(-6)). What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.2. Let o = -2.6 + 2.5. Which is the third biggest value? (a) o (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 22 = 2*p, -5*p = 5*a - 36 - 34. Suppose 839*n - 828*n - 187 = 0. Solve -n*v + p*v = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 7100.\nAnswer: -43\/7100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2823656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - (-5971)\/35. Let c = -74 + m. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 29 = -41. Find the first derivative of 23 + p**3 - 38 - 11*p**3 - u*p**3 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 6 + 18. Let p be -5*-2*(-4)\/o. Put 3, p, -4 in increasing order.\nAnswer: -4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1149 + -471. Let f = -11461702.0283 - -11461024. Let t = r + f. What is t rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 2114, 4752, 8444, 13190, 18990?\nAnswer: 25844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 + f - 4*f**2 - 2 - 3 + f**3 + 3*f**2. Let r(g) be the third derivative of g**4\/24 - g**3\/3 + 2*g**2. Let d be r(2). Calculate k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2617*d**2 - 1320*d + 3*d**3 - 2785*d**2 + 5081*d**2 - 1332.\nAnswer: 3*(d - 111)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, x: 4, s: 1, a: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 2, d: 1, u: 1}. Give prob of sequence du.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505, -1013, -1521, -2029?\nAnswer: -2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87432830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 7, 2\/11, -397 in decreasing order.\nAnswer: 7, 5, 3, 2\/11, -397","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 100*r + 2550. Let g be x(-25). What is the greatest common factor of g and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149*(84\/(-18))\/(-14)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - 6. Let t be x(-5). Suppose -149 = -4*p - 4*i + 3*i, -4*p + 4*i = -t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*x - x. Suppose -10*h + 6 = -34. Suppose -2*f = -4*l + 9208, -2604 = -x*l + h*f + 2012. What is l rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t - 1. Let i = 15 - 14. Suppose -u = g - i, 2*u + 2 = g - 5. Determine y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*u - 2*u = -35, 2*t - 4*u = 12. Let y = t + 4. Solve y*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -163061.\nAnswer: 3\/163061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -154*k**5\/3 - 2494*k**4\/9 - 2470*k**3\/9 + 86*k**2 + 1292*k\/9 + 80\/9 = 0?\nAnswer: -4, -1, -5\/77, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 18 = -11*v. Let x(b) = -3*b + 39. Let h be x(13). Suppose h = v*g - 34 - 10. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by -27?\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 0 (b) 3 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 196 + 2540*f + 3*f**2 - 2539*f - 7*f**2 as i*f + h*f**2 + r and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223578 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: Put 4, -50, 2, -1\/5 in descending order.\nAnswer: 4, 2, -1\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0097, -2, 2, 1.25, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13680 and 24300?\nAnswer: 1846800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6360, 7486, 10522, 16422, 26140, 40630, 60846, 87742?\n\"Answer: 159*n**3 + n**2 + 10*n + 6190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 183, 367, 551, 735, 919?\n\"Answer: 184*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-4 + 2 + 4*sqrt(2) + 4.\nAnswer: -44*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 811453487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 4747932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2590)\/(-180))\/(-37)*2*(-6)\/21.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -25\/7678?\nAnswer: -25\/7678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7279 + -3928. What is the hundreds digit of -1*m*35\/(-105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.33 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)*k**2*k**2\/k*k*k*k*k*k\/k**(-7\/4)*k*k*k)**(12\/5) assuming k is positive.\nAnswer: k**(2013\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 14579403880280.\nAnswer: 14579403880281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -6. Let g = -198\/5 + 40. Which is the closest to f? (a) -3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j + 1 = 96*j - 48*j - b, 3313*j = 2*b - 5*b + 3304 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24672 (base 11) in base 3?\nAnswer: 1210120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9082, 18180, 27278, 36376?\n\"Answer: 9098*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-6)\/(-2))*(-12)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**3\/3 + 11*m. Let v(f) be the third derivative of 0*f**3 + 0*f - f**2 - 1\/24*f**4 + 0. Determine v(r(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6825818893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 6*u**2 + 8*u - 6. Let k be s(7). Suppose 28 = 237*i - 230*i. Solve -i + k = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4\/7 + 13182*z**3\/7 - 353139*z**2 - 8541118*z\/7 - 3020088\/7 = 0. What is z?\nAnswer: -2812, -3, -2\/5, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 1025?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163824378 and 542.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*b + 54, -36 - 72 = -4*p + 3*b. What is the remainder when 888 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4928, -4900, -4838, -4730, -4564?\n\"Answer: 2*j**3 + 5*j**2 - j - 4934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 783 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 9. Let i be h(-5). Which is the smallest value? (a) -5 (b) -11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/8 - (-87)\/116. Let a be 4\/(-16) - 2\/y. Solve -5*g + 4*g - 4 = a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1158 - -3.8842. Let g = -6 - -4. What is the fourth smallest value in -2\/17, t, -2\/13, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(38)\/sqrt(2) + sqrt(76) + 3)**2 + (0 + sqrt(1539))*4.\nAnswer: 196 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -2. Let b(a) = 31 - a**3 - 42 - a + k*a**2 + 24. Let c be b(11). Solve -c*t + 3 = -l, -3*l + 3*t + t - 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/612011470 and -145\/42.\nAnswer: 1836034410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = d + 3*h, -5*d - h + 9 = -361. Suppose 3*j - 449 = -d. What is the greatest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 5. Suppose b + b - 8 = 0. Let r be j(b). Is 4\/(-14) + (-3)\/r*997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 424, 1, 72, 51 in descending order.\nAnswer: 424, 72, 51, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/132 + 19*a**3\/33 + 123*a**2\/22 - 2*a - 144. Factor z(m).\nAnswer: -(m - 41)*(m + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - k - 2. Let a(h) = -4*h**2 - 7*h + 47. Let l(p) = -a(p) + 3*g(p). Is 64 a factor of l(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1745\/7 - 250. What is the closest to u in -1, 1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -49284*j**2 + 1776*j - 16 = 0.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738975216?\nAnswer: 2, 3, 7, 29, 181, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2\/3*-6. List the prime factors of ((-52)\/8)\/((-1)\/z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845555319 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w = -82*w - 140*w - 6520 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = -30*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and -0.1.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1111*b**2*d**3*r**2 - 828*b**2*d**3*r - 11883*b*d**3*r - 2*b*d**2*r**2 - 2*b*r - 5*d**2*r**2 + 4*d*r**2 wrt b?\nAnswer: 2222*d**3*r**2 - 1656*d**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534865 is divided by 44453?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by -90?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)*d**5\/d)\/((d\/(d\/(d*((d*d**(-3))\/d)\/d)))\/d**(-1)))\/(d\/(d**(-11)\/d)*d**(1\/4))**(-8) assuming d is positive.\nAnswer: d**(338\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/35 + 143\/1001?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 956568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6368.503um?\nAnswer: 0.006368503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 divided by -72.\nAnswer: -199\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j + 44*j**2 + 241\/120*j**6 + 0*j**5 + 0 + 0*j**4 - 121\/6*j**3. What is the first derivative of a(o) wrt o?\nAnswer: 723*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 461674.\nAnswer: -46167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - 13\/(-26). Let c = 10.99 - -0.01. Is c at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4 (b) -1\/31 (c) -4 (d) -195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 10) to base 9\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 15 + -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15267*r + 3*s = 15268*r - 8, -3*s = -4*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-8)*(0 - 4\/(-7)). Let l(y) = -7*y - 29. Let k be l(-6). Solve -b*s + k = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:04 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475568 is divided by 1204?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -4 (c) -0.05 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217885 (base 15) in base 6?\nAnswer: 54103525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374286 a multiple of 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 21*v - 33*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20682.82 tonnes in micrograms?\nAnswer: 20682820000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 3*z + 0*z + 29*z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:18 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:08 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*o = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59450 = -162*y + 191*y. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -5*h - x, 2*x = -3*h + 207 - 59. Calculate the least common multiple of h and 21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-43 - (4 + 0)). Let b = 19 + u. Is b equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 minus 25234?\nAnswer: -25206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 291650083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 224781014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008760417 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 7)) + (4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 457851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r + 2. Let x(k) = -6*k**3 - 29*k**2 - 11*k - 3. Let w(o) = 4*s(o) - x(o). Let c be w(-14). Is -2.1 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.844 - 1.4?\nAnswer: -2.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(((i\/i**(-2\/17))\/i)\/i))*i\/i**(-10\/3) assuming i is positive.\nAnswer: i**(176\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -6. Let q = 1 + y. Calculate the least common multiple of 20 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 51*y**3 + 25*y**2 - 74*y + 1. Does 35 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25659, -25569, -25479, -25389?\nAnswer: -25299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11495\/12 - -3833\/4. Let k(p) be the first derivative of -h*p**3 - p**2 + 4*p + 37. Calculate k(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.61 and -51.\nAnswer: -82.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3873 - -3863.3. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2526481148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 12*b + 13. Let k be h(7). Let v = k + 24. What is the second derivative of -4*s - 8*s - 9*s**v - 3*s**2 + 2*s**2 wrt s?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4136\/(-235)*180\/4896\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 1 + 1 + -1. Let r(u) = -u**3 + 6*u**2 + u - 5. Let l be r(h). Let t = -0.35 - -0.25. Which is the smallest value? (a) t (b) 2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-5) + 4\/10. Let j be s\/(-2) + (-6)\/4. Let d(t) = -2*t**3 - t**2 + 4*t + 4. Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**8\/84 + 4*m**7\/5 - 397*m**6\/30 - 308*m**5\/5 - 242*m**4\/3 - 109*m**2 + 3. Find f such that c(f) = 0.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uzzzuu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-3 - -26) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 30*l = 8. Suppose -1 = l*o - 9. Let f(q) = 4*q**2 + q - 1. What is f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*8*3\/(36\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 71 = -377. Let m(v) = -8*v**3 + 26*v**3 - 33 - 4*v + 17*v**2 - 12*v**3 - 5*v**3. Calculate the remainder when o is divided by m(-17).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - q = -2*s + 2*q, 5*q = 20. Let h(u) = 4*u**3 - 11*u**2 + 3*u - 7. Let y(l) = -2*l**3 + 6*l**2 - l + 3. Calculate s*h(n) - 7*y(n).\nAnswer: 2*n**3 - 9*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15*l**2 - 12*l + 12*l**3 - 7*l + 3*l**4 + 29*l = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -15*l**2 - 33*l + 41. Let j(x) = 7*x**2 + 16*x - 21 + 1 + 0*x. Let v(c) = -6*i(c) - 13*j(c). Let n be v(-11). Solve 0 = -8*a + n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183529, 183380, 183217, 183034, 182825, 182584, 182305, 181982?\nAnswer: 181609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/11 + 8\/44. Calculate the common denominator of (-74)\/22 - 2\/y and -1 + 2\/(28\/(-74)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 17*a**2 - a + 17*a**2 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/3 + 106*g**3 - 6376*g**2\/3 - 129800*g = 0. Calculate g.\nAnswer: -25, 0, 66, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 23802382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.081, 2\/9, -40, 41 in descending order.\nAnswer: 41, 2\/9, 0.081, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2 - 12865731*c + 11618063.\nAnswer: -4*c - 12865731","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 2, e: 5}. What is prob of sequence rr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/242838 and -31\/242838.\nAnswer: 242838","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 19*b. Let r(k) = -k**2 - 5*k - 4. Let f be (-3)\/(-2)*(1 - 21\/9). Let d be r(f). Solve 5*h = 3*u - 27, 0 = d*h - b*u - 3*u + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 9*p**2 + 5*p - 1. Let k be w(4). Suppose 3*u - 17 = k*q - 2, -2*u + 11 = -q. Let m be u*(-14)\/(-35)*2\/4. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 - 444*x**2 - 4335*x + 465582 = 0.\nAnswer: -127, -47, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4\/5)*w**(-13\/5)*w)\/(w**(-4\/17)*w*w**(3\/14)) assuming w is positive.\nAnswer: w**(-927\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19343, 38764, 58195, 77642, 97111, 116608, 136139?\nAnswer: 155710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -195*w + 4 + 17 + 193*w. Let y be k(8). Suppose 0 = -y*n - 46 + 166. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.109427 times -2.779\nAnswer: -0.304097633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5950)\/255)\/((-35)\/126)*1\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 - 41 = 0. What is the lowest common multiple of s and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79086345 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:43 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.055 and -17?\nAnswer: 51.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**5 - 158*w**3 + 308*w.\nAnswer: -100*w**3 - 948*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0375547002 rounded to six dps?\nAnswer: 0.037555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.96 - -0.04. What is the nearest to n in 1, 1\/2, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 174\/21 + 2\/(-7). Let r(d) = -d**2 + 7*d + 10. Let t be r(c). Solve 15 = i - 5*a, 23 = -3*i - 0*i - t*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 2. Let t(b) = -1. Suppose -3*x + 27 = 2*d + 2*d, -5*x + 40 = 5*d. Suppose 2*q - d*q = 3*u + 10, -3*q = 4*u + 15. Give q*c(p) + 2*t(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*sqrt(224))\/(sqrt(2) - 6*sqrt(18)) + -4.\nAnswer: -4 + 40*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477 = -135*m + 114 - 447 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -3, -2, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*d + 28, -2*d + 13 = 2*k - 3. Let v be ((-21)\/(-14))\/(-3)*-10. Suppose 5*u - c - 1533 = 0, -5*c - 297 = v*u - k*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c)\/((c\/(c*c**(-2)))\/c))\/(c\/(c\/(c\/c**(-2\/7))))**(-43) assuming c is positive.\nAnswer: c**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48.5406 (b) 0.3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u*u*(u*u**3)\/u*u)\/(u\/u**0*u\/(u\/(u\/(u*u*u**2)))*u*u))\/(u**1\/u**49) assuming u is positive.\nAnswer: u**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.29, -5, 0.2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*-3*-6)\/((sqrt(441) - sqrt(441)*-2)*-6).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let i be 2 + -2*2\/(-3)*3. Suppose 1126 = -29*h + 1271. Solve -h*t = -x + i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v*y**2 + 26485753*v - 57084*y**2 + 72 wrt v.\nAnswer: y**2 + 26485753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1624 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(-2)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 308\/(-42)*(-7)\/2*(-126)\/(-98)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7772 + 540 = 396*g - 509*g for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c - 2. Let w be m(0). Let s be w\/7 - (-38)\/(-14). Let t(i) = i - 3. Let f(r) = 2*r - 8. Determine s*f(u) + 8*t(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*x - 91, 2*l + 2*x = -2*x - 96. Let f = 38 + l. What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Find the common denominator of 23\/6 and u\/12*(-342)\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8\/3, -0.73, -7\/2, -0.3?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.9 * -2.3.\nAnswer: 13.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-98)\/4)\/((-6)\/(-12)). Let u = -28 - v. Suppose -105 = -7*s + u. Solve 28 = -2*x + 5*z, -3*z + s = -x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1650653 * -41\nAnswer: -67676773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/20 + 5*h**4\/12 + 13*h**3\/6 - 6*h**2 - 21*h. What is the tens digit of t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.03*-0.024979\nAnswer: 0.02572837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 711021 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 9.7. Let s = -8 + j. Let i = -131 - -521\/4. Which is the third biggest value? (a) s (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -666, -2680, -6038, -10740, -16786?\n\"Answer: -672*t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 191, 376, 553, 722?\n\"Answer: -4*i**2 + 197*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/5)*(q\/(q*q**(-1\/4)*q))\/q*q*q*q*(q*q*(q\/(q*q**(-1)))\/q)**39*(q**3\/(q**(1\/9)\/q))**(-4\/31) assuming q is positive.\nAnswer: q**(443879\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 157390823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 6*v**2 + 10 + v**3 + 0 - 9*v. Let y be g(-7). Let a = 47 + y. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36099 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001220593207 rounded to six dps?\nAnswer: 0.001221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(5032\/306)*(-5)\/555?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0307883413 rounded to five dps?\nAnswer: -0.03079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 14*j - 11. Let m be i(15). Suppose -3*b = -m*v + 31, 3*v - 21 + 3 = -3*b. What is the first derivative of 14*f**2 - 3 - 12*f**2 + v wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.7, -3\/7, 4\/5, 18?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365 = -15*r + 161 - 1 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x = 333*x + 12770 - 2018 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/6)*((p**(-1\/2)\/p)\/p*p)\/p*p*((p\/((p\/((p\/(p\/p**(1\/19)))\/p)*p)\/p*p))\/p)**(-2\/47) assuming p is positive.\nAnswer: p**(-1450\/2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-32571)\/(-1050) - 31)\/((-24)\/(-80))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 8*c**2 - 5. Let q be 5 + (-3)\/6*-6. Let z be r(q). Let i = -9 + 13. Sort z, i, -2.\nAnswer: z, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -916, -1107, -1300, -1495, -1692, -1891?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 3*v - 62. Suppose 4*f - v = -21. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*k + 15 - 0, -k - 2*b - 11 = 0. Let q(f) be the first derivative of 16*f**3 + f**2\/2 + 2*f - 4. Is q(k) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*k + 4327, -13*m + 17308 = -9*m - 3*k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + -46 - -42) + (-11 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -7884\/53?\nAnswer: -7884\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 17. Let r = -5.98734 + -0.05066. Let s = r + h. Round s to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/(-8))\/(1\/56). Calculate the greatest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f + 40*f = 77*f + 9 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40098143*j - 21999090 with respect to j.\nAnswer: -40098143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96*n + 363?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17)*1 + 5 + sqrt(187)\/sqrt(44) + 5.\nAnswer: 3*sqrt(17)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -488 * 1339.\nAnswer: -653432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 15*a**2 - 5*a**2 + 7*a - 8 - 36*a**3 + 35*a**3. Let u be z(11). Let l = -28 - u. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/11 (b) 1\/5 (c) 1 (d) 0.74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*d - d = 180, 4*t + d = -180. Calculate the common denominator of (t\/175)\/(4\/(-130)) and -57\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + 1.1. Let q = j + -3. Let v = -7 + 4. What is the second biggest value in q, v, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 3418. Let r(a) = 385*a - 2. Give r(p(b)).\nAnswer: -385*b - 1315932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1775 - 1255*r + r**2 + 2431*r - 1176*r to the form w*r**2 + y + u*r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2*v + 6. Let w be (2\/3)\/(32\/240). What is the units digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from kawxt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwxfjwvx. What is prob of sequence jjw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.4 (c) -2\/9 (d) 0.9 (e) 5 (f) -118031\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 1, o: 4, c: 10}. Give prob of picking 2 c and 2 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/12 - 7\/4. What is the third smallest value in m, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 0, -11 = 5*i + 5*k - 46. Sort -3, i, -1, 5 in ascending order.\nAnswer: -3, -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22022200 + -10?\nAnswer: -22022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m - 3. Let k be ((-12)\/8)\/(3\/(-4)). Suppose a - k*a + 2 = 0. Suppose 3*c - 3*w + a = -1, -3*c = 2*w - 2. Calculate l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1523359*w**4 - 869083?\nAnswer: -6093436*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)**(-6\/5)\/(r*r*r**0\/r*r)**(13\/2) assuming r is positive.\nAnswer: r**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/24 - q**5\/15 + 5*q**4\/24 + 55*q**2. Find the third derivative of r(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2136, 8542, 19218, 34164, 53380, 76866, 104622?\nAnswer: 136648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 157538.9536 rounded to the nearest one thousand?\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 8.6 in ascending order.\nAnswer: -5, -3, 2, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3 - 13, 3*w + 24 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/21 + (-13 - -11))*-14. Solve -37*i - n = -45*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v**2 - 3*v - 13. Let k(y) = y**2 - 27*y - 98. Let x be k(31). Suppose x*g = 15*g + 44. Let s(p) = 5*p**2 + 2*p + 7. Calculate g*b(h) + 7*s(h).\nAnswer: -h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 42*i - 94. What are the prime factors of h(30)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 + 2 + 0*r**3 - 1 - 5 - r + r**3. Let b be w(-6). Solve -k = o - 6, -7*o = -2*o + b*k - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 8*r**2 - r + 2. Suppose -b + 3*b = 2. Let i be (12\/b)\/(9\/(-6)). What is the tens digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 214*z - 9309. Calculate b(39).\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((44\/11)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + y - 1000 = 0, y + 3*y = 2*n + 486. Let m = 1003\/4 + n. Which is the third smallest value? (a) -1 (b) 2\/5 (c) -0.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107, -36, -425, -1060, -1941?\n\"Answer: -123*b**2 + 226*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/4, -278211.\nAnswer: -278211, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 300890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 6*x + x + (4 - 3 + 0)*(x - 2*x - 2*x)*(-4 + 4 + 5).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-3 - ((-12)\/(-4))\/(-3)) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68373 + b8?\nAnswer: 6846b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 353 and 6067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2367 is divided by 94?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:46 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 45*v**2 - 300*v.\nAnswer: 3*v*(v - 5)*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18176600 rounded to the nearest 100000?\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 23*t - 6. Let w(p) = 3*p**2 - 68*p - 16. What is 8*k(g) - 3*w(g)?\nAnswer: -g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbnbrbw. Give prob of sequence fb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 779 - 12*s**3 - 785 + 1561 - 2*s**4 to the form x*s + y*s**2 + p + i*s**3 + a*s**4 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*g + 165, -3*u = 1432*g - 1430*g - 130. What is the remainder when 2300 is divided by g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*k**3*q - 3549*k**3 + 22*k**2 + 1786*q wrt k?\nAnswer: -168*q - 21294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + x = 164, -3*t - t - 3*x = 180. Let a = 109 + t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-21) - (-221)\/(-3). Let c = -61 - q. What is the first derivative of -c*o - 22 - 10*o - 23 wrt o?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 48. Let n(p) = -175*p - 1055. Let q(i) = 2*n(i) + 45*w(i). Is 5 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**6 - 8*c**3 + 2559*c**2?\nAnswer: 960*c**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-10) + 1406\/190?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85523*b**2 + 2*b - 42753*b**2 - 42746*b**2.\nAnswer: 24*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - 6*y)*(2*y**4 + 0*y**4 + 0*y**4 - y**2 - 2*y**4 + y**2 + (0*y**2 + 3*y**2 - 5*y**2)*(0*y**2 + y**2 + 2*y**2))*(45 + 46 - 39).\nAnswer: 624*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = x, 4*r = 3 - 11. Let y = -1 + x. Let b = 46\/65 + -4\/13. Is y > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -578*g**3 + 12503024*g**2 + 5883872*g + 692224.\nAnswer: -2*(g - 21632)*(17*g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:27 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 4*l + 1. Let d(k) = -10*k**2 - 9*k - 6. Let w(m) = 5*m**2 + 5*m + 3. Let r(j) = 6*d(j) + 13*w(j). Give 3*r(b) - 8*x(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-987)\/(-2121)*(-164)\/(-3854)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17*s**3 + 3*s**2 - 4*s + 2. Determine x(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 3429.\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1684 = 24*s - 20*s - 3*v, 4*s - v = -1692. Let n = s - -449. Solve 2*a - 5 = 5*d + 6, 5*d = -5*a - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 + 243. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27128578?\nAnswer: 2, 13564289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -124a8 (base 11) in base 10?\nAnswer: -17905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28077784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -75165\nAnswer: -22549.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/30 - (98\/(-12) - -1). Let n(c) = c**2 - c - 27. Let r be n(6). Solve 2*b = -s - r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*t*w*x + 22*p**3*w**2 - 3*p**3*w - 24*p**2*t*w**2*x - 4*p**2*t*x - p*t*w*x + 2*p*w**2*x - p*x wrt w.\nAnswer: 44*p**3 - 48*p**2*t*x + 4*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051 (base 12) in base 11?\nAnswer: 526a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.30372 to 1 decimal place.\nAnswer: 200.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11988*r*y - 964*y wrt r?\nAnswer: 11988*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + 5. Suppose 0*t - d*t = -10. Solve -11 = -3*z - t*b, 0 = -4*b + 1 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 9*i + 0*i)*(28003 - 28003 + 922*i).\nAnswer: 3688*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 + 5\/((-275)\/230). Let h = -948 - -953. Put 3, 2, k, h in decreasing order.\nAnswer: h, 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 5*c - 20. Let r(u) = -u - 2. Let f(y) = 4*y**2 - 2*y + 1. Let p(q) = -2*f(q) + 10*r(q). Let h(w) = -2*p(w) + 3*s(w). Determine h(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/252)\/(116\/(-870))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let b(v) = 225*v. What is b(j(z))?\nAnswer: -225*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 3 = 15*d. Suppose -w - d*w - 132 = 0. Let x = -26 - w. Let g(f) = f**2 - 11*f + 9. Give g(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-182)\/39)\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2179*l - 41701. Calculate z(-19).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2345 - -2352. Let o(s) be the second derivative of 0 + 3\/10*s**6 - 1\/2*s**4 - 3\/10*s**5 - 1\/14*s**l - 28*s - 3\/2*s**2 + 3\/2*s**3. Factor o(q).\nAnswer: -3*(q - 1)**4*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 4*z + 7. Calculate l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 22735\nAnswer: -102\/22735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-32) + 1*-13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 16*c**3 + 44*c**2 - 48*c + 18.\nAnswer: 2*(c - 3)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 3*g**3 + 3*g**3)*(3*g - g**2 - 3*g)*(1 - 1 + 1)*(-3 + 1 + 0).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -216*k - 10. Let u(m) = -433*m - 23. Calculate 9*d(o) - 4*u(o).\nAnswer: -212*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 150289289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27276.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 886490 and -11.\nAnswer: -9751390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (-1*(sqrt(245)*1)**2 - sqrt(245)*1*-2).\nAnswer: -245 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -2249?\nAnswer: 6\/2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 7. Let s(o) = o**2 - 11*o + 12. Let n be s(10). Suppose -n*w - 3*w = -25. Suppose -r = -w*b - 0*b + 5, -1 = -2*r - b. Determine x(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31340 = -54*a + 51442. Calculate the highest common divisor of 42 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:38 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3)\/((-2)\/230). Let s = x - -1037\/9. Let m be -8 + ((-1)\/(-1))\/((-25)\/(-175)). Which is the closest to m? (a) 1\/5 (b) 3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8506000 to the nearest 100000.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 8\/(-6)) + 23\/21*154\/88.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 7*a + 7429*a**2 - a - 3718*a**2 - 3718*a**2. Give y(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/2 - 253*h**4\/2 - 693*h**3\/2 - 263*h**2\/2 + 87*h = 0.\nAnswer: -2, -1, 0, 1\/3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -122*i**2 + 18*i - 2183. Let z(w) = 54*w**2 - 8*w + 1091. Give 4*x(t) + 9*z(t).\nAnswer: -2*t**2 + 1087","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/(24\/30)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 9) to base 12\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:31 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose 2*m - 348 = -a*m. Suppose -v - 5*l + m = 3*v, -33 = -v - 5*l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17)\/(-3))\/(2\/(-18)). Let a be s\/7 - (-2)\/7. Do -6 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - (-10 - -16))*(-1 + 3464\/10). What is the highest common factor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/2 - 5*h\/2 - 3 = 0 for h.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -q - 1, 2*q + 0*q - 25 = -5*s. Is s smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:52 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(891) - (-2*sqrt(891) + 2)**2) + 1 + 2.\nAnswer: -162*sqrt(11) + 7138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60805410, -60805419, -60805442, -60805485, -60805554, -60805655?\nAnswer: -60805794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5368*w - 2510 wrt w.\nAnswer: -5368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27. Suppose o - 15 - 9 = i. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from ppjpgjjgp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.44162 times -0.21\nAnswer: 0.3027402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*o + 7*b - 3*b, -3*b + 34 = o. Solve 0 = 4*v - 3*f + 16, 5*v - 5*f + o = 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27408*w**3 - 13703*w**3 - 13706*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1358061511 and -12.\nAnswer: 1358061499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4 + 604*q**3 - 26776*q**2 + 126336*q + 10160640 = 0.\nAnswer: -15, 54, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -3010021?\nAnswer: 3010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 3, x: 5}. What is prob of sequence txtx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(7\/3)\/q*q)*q**18 assuming q is positive.\nAnswer: q**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let c be b(-2). Solve -v + 0*v + 5 = c*i, 2*v - 4 = 2*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 23 (c) 759\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(396\/(-12)))\/((-58)\/15486).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7733636?\nAnswer: 2, 43, 44963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-9) + (-4319592)\/(-216). Let w be -2 + p + (4 - 0). What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1654.06888371 + -47.06928721. Let n = t - 1607. Round n to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 33. Let b = x - -149\/7. Let q = -18.2 + 18. What is the closest to b in q, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/12 not equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzgzrzrzczzcr. Give prob of sequence zczk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let s be l*((-1000)\/21 - -2). Let w = 47\/42 - s. Find the common denominator of w and 49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s + 25. Let f(p) = -p - 3. Let u be f(s). Suppose 1400000 = -u*c + 2*c. Round c to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(88) - (sqrt(88) + sqrt(88)*-1))\/sqrt(2) - (5 + ((sqrt(5324) + 0)**2 - sqrt(5324) - sqrt(5324))))*-5.\nAnswer: -200*sqrt(11) + 26644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*v**3 - 97*v**3 - 8*v**3 - 183*v**3 + 88*v**3.\nAnswer: -427*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = -s - 5*y, -70 = -5*s + 4*y. Suppose -7*m + 2*m - s = 3*c, -10 = 2*c. Let t(v) = m - 2*v + 2 - 3. Let n(r) = 12*r**2. Determine t(n(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or -44?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {l: 2, z: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-1176)\/(-882))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -20. Suppose -4*d = v - 75. Suppose 54 + d = l. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 9)*(-20 - 10 + 8)*(-b**2 - 2*b**3 + b**2 + 1).\nAnswer: 88*b**3 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053) + 5*sqrt(1053) + -2)) + -1 + -5 + sqrt(1053)*5 + -1)**2 + -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 4*i**3 - 8904*i + 8904*i + i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81201.74l?\nAnswer: 81201740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (112 - 106)*3\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 110*s - 3*g - 21 = 0, 5*g = -5*s - 45 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:16 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -12*a - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 5*a = -26, -11*d - 2*a = -6*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 2, p: 1, g: 2, q: 4}. Give prob of picking 1 z and 2 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:12 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2015*s + 3752. Calculate t(2).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 + ((-579)\/168 - 4\/32))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/120 - a**5\/4 + 5*a**4\/8 - a**3 - 28*a**2. Let r be y(-16). List the prime factors of ((-118)\/r)\/(7\/(-35)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -142, -306, -540, -850, -1242, -1722?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*f**2 + 198*f**2 + 0 + 0 + 285*f + 191*f**2 - 117*f.\nAnswer: 11*f**2 + 168*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*a*m**3 + 54*a*m*q + 28*a*q + 4*m**3*q - 46*m**3 - 113*q with respect to a.\nAnswer: -29*m**3 + 54*m*q + 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1549155*k**4 - 974484 wrt k.\nAnswer: -6196620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, y: 5}. What is prob of sequence dddd?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -133969.\nAnswer: 133969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 24. Let x = s - -15. Calculate the smallest common multiple of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94357 times 18.3\nAnswer: 1726733.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705513276 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1753348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 549 = 16*n. What is the greatest common factor of 305 and n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 418578\/1907 and 220 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657340 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/60078 and -49\/248?\nAnswer: 240312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1766*l + 4. Let a be h(-6). What is a rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0365 * -0.2\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906 is divided by 107?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7469 + -7467. What is x in 3\/10*x**r - 1\/10*x - 1\/5 + 1\/10*x**3 - 1\/10*x**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129198*c - 4896968*c - 6040987*c + 1086625*c.\nAnswer: -9722132*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47780 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3999 + -3970. What is the highest common factor of 7685 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000064265 to seven decimal places.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 10340000 and 10340007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3734860*f**4 - 52*f**2 - 132352*f?\nAnswer: -89636640*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehhhhhevevlhhlev. Give prob of sequence vhlh.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/21 + -4*(-12)\/(-16). What is the closest to -3 in -2, d, 2\/15, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -35\/1807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -400 and 0.68.\nAnswer: -399.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1587, -2\/19, 5\/7, -3\/38 in increasing order.\nAnswer: -1587, -2\/19, -3\/38, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -119 (b) -0.1 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23930 - -51797. What is the greatest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -9 + (69 - 43) - 81?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*p + 236 = 0, -4*p + p = 9. Solve -3*c + 5*g = 10, -z + 11 = -2*c - 5*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:25 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/7, 1, -22, -8790, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l - 5. Let z(k) = -3*k + 2. Let d(j) = -a(j) - 3*z(j). Let w(h) = -6*h - 1. Give -5*d(c) + 6*w(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14742777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:42 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 51801 - 35098 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.4 to the nearest integer.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 26) + -23 + 23 + -11 + 11\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(63)*2)\/sqrt(9) - (sqrt(7) + -1*sqrt(7)*6) - (-5*6*(2*sqrt(567) + sqrt(567)))**2).\nAnswer: -4592700 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0, -2, -3\/10 in ascending order.\nAnswer: -2, -3\/5, -3\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3010)\/(-98) - (-62)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/8)*v)\/(((((v*v\/v**3*v)\/v*v)\/v)\/v)\/v))\/(v**2\/v)**(-2\/87) assuming v is positive.\nAnswer: v**(3583\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.8 and -18301.\nAnswer: 581971.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5)**(-8\/15)*d**(-1\/14)*d\/((d*d**(-2\/5)*d*d)\/d*d) assuming d is positive.\nAnswer: d**(-911\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q - r, 2*q - 15*r + 11*r - 28 = 0. Let a(z) = z**3 - 6*z**2 + 7*z - 6. What is a(q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b + 31711?\nAnswer: 31682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x - 4*x. Let i(f) = -f. Let l be i(x). Is 17\/5 - l\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11508351 to the power of 1\/2, to the nearest integer?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*p**6 + 1072*p**2 wrt p.\nAnswer: -9480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 + (-28 - -51 - 39).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2ca (base 13) to base 9\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 151, 818, 2245, 4708, 8483, 13846, 21073?\n\"Answer: 46*x**3 + 104*x**2 + 33*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11108677 or -11108688?\nAnswer: -11108677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15798411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 + y - 1. Let g(u) = 4*u**3 - 4*u**2 - 3*u + 5. Let z(x) = g(x) + 5*p(x). Find l, given that z(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 - -2157\/5. Let -24\/5*a + n*a**2 + 72\/5 = 0. Calculate a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7345 and 678?\nAnswer: 44070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25093 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391207*m**2 + 1194*m - 130 wrt m?\nAnswer: -782414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 8 + 3)*(-14 + 10 + 9)*(-3*b**4 - 2*b**4 + 3*b**4).\nAnswer: 130*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrpprr. Give prob of sequence rrrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69799 divided by -1?\nAnswer: -69799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.154 (c) 0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g + 35 = -37*g, -4*b - 2*g + 22 = 0. Let f = 9 - 5. Solve 5 = 2*c + v - 5, -f*c = -b*v - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 1386 = -1413 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2. Let q(r) be the second derivative of r**6\/720 + r**4\/3 - r. Let t(a) be the third derivative of q(a). Determine t(s(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 46260*r + 46256 = 0.\nAnswer: -11564, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 22023360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**27\/y**(-4))\/(y**(6\/17)\/y**3) assuming y is positive.\nAnswer: y**(572\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661642800 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 123, 127, 129, 129?\n\"Answer: -g**2 + 9*g + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/8 - (-139)\/4?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*j + 9. Suppose -j*w - 5*m - 6 = 0, -2*w + 2 = -4*w - 3*m. Solve -2*n + 5*n - a - 15 = 0, n + w = -2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a\/a**(-2\/11))*a)\/(a\/(a*a\/a**(-21\/4))) assuming a is positive.\nAnswer: a**(399\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.7 + 60.9. Let g = m - 52. Let r = g + 5.1. Which is the fourth biggest value? (a) r (b) -10 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:37 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/((-319725)\/4640)*6\/(-16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 285?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 - 636*g + 634 = 0. What is g?\nAnswer: 1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482 is divided by 300?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 + 425214*g**2*t + 25*g*t - 1173*g wrt g?\nAnswer: 6*g + 850428*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 divided by 767?\nAnswer: 2341\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 18, 3, -30, -87, -174, -297, -462?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2607*a**2 + 792 + 19621*a**2 + 785 - 1577 in the form c*a**2 + l + x*a and give c.\nAnswer: 22228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -59?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77122 = 9*j - 77365 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -3*s + 1860. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -60.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwfw when four letters picked without replacement from {r: 3, d: 4, f: 2, w: 2, e: 1, h: 2}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*z - 306, -4*z = -4*o - 0*o + 404. Let c = -32 - z. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 4) in base 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((12\/(-4))\/99)\/(93\/279))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 3, 0, 158, 0.3, 0.05 in descending order.\nAnswer: 158, 3, 0.9, 0.3, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:34 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23956?\nAnswer: 2, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = 1. Let c(f) = f**2 + 5*f - 2. Let v be c(-4). Is v\/(-9) + 2018\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scxcp. Give prob of picking 2 s and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1531, -1528, -1525?\n\"Answer: 3*g - 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695643 is divided by 531.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*m + 481 = -3*o, 5*o + 4*m - 1220 = 0. Let n = o + -179. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*j + 40, -3*j - 19 - 6 = -26*f - 49 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {n: 4, y: 2, g: 3, o: 7, m: 3}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 198*d**2\/5 - 39*d - 3\/5.\nAnswer: 3*(d - 1)*(66*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.23410667 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.754 take away -7?\nAnswer: 9.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -916407.\nAnswer: -916407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-49))**(-47) assuming n is positive.\nAnswer: n**2303","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2120, 10 in decreasing order.\nAnswer: 10, -5, -2120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 63. What is the remainder when 71 + ((-3)\/(-2))\/((-8)\/16) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 926038 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -36*p + 68. Let b(t) = 109*t - 217. Give -3*b(v) - 10*m(v).\nAnswer: 33*v - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {m: 5, q: 6, s: 4, u: 5}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(12)\/sqrt(4)) + 0.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7857116 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*h**6 + 13*h**2 + 2*h wrt h.\nAnswer: -28800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 2, q: 2, e: 4}. Give prob of sequence me.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 5, -1, 47339 in decreasing order.\nAnswer: 47339, 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8935 (base 11) to base 7\nAnswer: -46221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/3 - 47854*k**4 - 3432132052*k**3\/3 - 27258799504244*k**2\/3 + 549237055825458*k - 1620448935696514\/3 = 0. Calculate k.\nAnswer: -23947, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 608651 (base 12) in base 11?\nAnswer: 93a874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69073 is divided by 34526?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let w be -3*(1 - (f - 0)). Suppose -5*h + 2 = -3*g - w, 0 = -3*g + 15. Which is the second smallest value? (a) -5 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 298 - 16*r**2 + 46 + 43*r**2 + 4*r**3 with respect to r.\nAnswer: 12*r**2 + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) -5 (c) -1\/8 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120021000 + 1010210?\nAnswer: 121101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*y**2 - 121*y**3 + y + 0*y + 37*y**2 in the form q*y**3 + m + v*y + n*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 17*a**4\/12 - 5*a**3\/6 - 2*a**2 + 14*a. What is the second derivative of z(n) wrt n?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26626175 is divided by 1271?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -1)*(-2)\/2. Let k(t) be the first derivative of 10*t**2 + 2*t + 1. Is 31 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 4*v**2 + 5*v + 2. Let r be (-1 - 1)\/(8\/(-48)). Let d be 6*(56\/r)\/(-7). Determine s(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 18*i**2 + 31*i + 19. Suppose -4*o + 93*t + 48 = 89*t, -5*o = 4*t - 96. Calculate k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 bigger than 9815\/238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 135 = -i. What is the least common multiple of i and 63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363499221 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 16 - 6. Suppose -n*k = 5*y + 15, 0*k = -5*y + k + 15. Suppose 4*j - y*s = 508, -5*j + 3*s + 181 + 454 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105244642, 105244645, 105244648, 105244651?\nAnswer: 105244654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 3, -7, 16 in decreasing order.\nAnswer: 16, 15, 5, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 3, 9, 7, -9, -45, -107, -201?\n\"Answer: -c**3 + 5*c**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9 + 1 - 2*z + 8. Let g(n) = -4*n - 1. Determine t(g(o)).\nAnswer: 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/8 - 4*a**3\/3 - 144*a**2 - 2. Let n(h) = 5*h + 17. What is -7*g(s) - 4*n(s)?\nAnswer: s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.519677 and -0.155.\nAnswer: 0.390549935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**3 - 820*b**2 - 7088*b - 6272 = 0.\nAnswer: -196, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12216389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*(-344)\/(-24) + 6)\/((-3)\/57). Calculate the greatest common factor of 133 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8\/5 - (528\/80 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10633 and 12466433?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/(j**(-18)*j))**(-34\/9) assuming j is positive.\nAnswer: j**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (12\/(-3) - -13). Suppose 80 = 7*f - 2*f + t*l, -2*l = 8. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 22 - 3*c + 4 + 2*c**2 + 20 - 3*c**2 to n*c**2 + g + o*c**3 + u*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*u**3\/3 - 1615*u**2\/3 + 25256*u\/3 + 26896\/3.\nAnswer: (u + 1)*(5*u - 164)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -15*t**6\/2 + 183*t**5\/5 - 133*t**4\/2 + 160*t**3\/3 - 16*t**2 + 18. Solve s(p) = 0 for p.\nAnswer: 0, 2\/5, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 2837. Let x(s) = -691*s**2 + 1357*s**2 - 664*s**2. What is g(x(u))?\nAnswer: 8*u**4 + 2837","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, w: 2}. Give prob of picking 2 m and 1 w.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + (-20)\/(-15). Let a be (-1 - (-3)\/1)*k. Let g(b) = b**2 - 3*b + 1. Let c be g(4). Solve -s + c = -a*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 41\/((-2)\/36*-3). Let b = g - 36. Suppose 18*p - 25*p + b = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1040)\/336 - -17) + ((-50)\/420)\/((-5)\/4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**8\/84 + c**7\/21 - c**5\/20 + c**4\/2 - 80*c**2. What is the third derivative of o(b) wrt b?\nAnswer: 240*b**2 + 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396828 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 3*r. Let h(z) = -z**3 + z**2 + z + 13. Determine h(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 3*n - 2*n)*(-3*n + 0*n + 4*n) - 87*n - 30*n**2 + 87*n)*(-1 + 6 - 2 + (-2 - 3 + 3)*(2 - 1 - 2) + 3 + 1 - 3).\nAnswer: -174*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51025.\nAnswer: 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 + 2*h + 3. Let k(b) be the third derivative of -b**4\/24 - b**3\/3 + 4*b**2. Let x be k(-6). Is 8 a factor of l(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 19. Let m be n(9). Let q = m - -11. Let p(g) = 3*g - 2*g - g - q*g**2. Let y(v) = -3*v**2. Determine p(y(f)).\nAnswer: -90*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d (base 14) to base 7.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9278 and -2965?\nAnswer: -2750.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135.2 + 134.9. Is q less than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(1\/9)*m\/(m**(-2\/13)\/m))\/(m**(1\/25))**(-3\/29))**(4\/5) assuming m is positive.\nAnswer: m**(1373104\/424125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p + 4*p + 5*p + 0*p - 5*p. Let j(n) = -2*n**2 + 2*n - 2*n. Give j(d(z)).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtyfnvv. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194584 by -24323.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2581*s = 923*s + 56372 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -15713.\nAnswer: 23\/15713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44308 = 48*o - 45220 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-18) + 4\/(-18). Let f(g) = 36*g**2 - 1. Let y be f(l). What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10333405899 and -38.\nAnswer: 10333405861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15713\/5 + 15709\/5. Let m(r) = r - 2. Let f be m(3). Which is the nearest to f? (a) z (b) 7 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + (-7)\/(-28). What is the units digit of -2 + (1 - q) + 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2*h**2 + 4*h - 2. Let j(n) be the second derivative of n**5\/10 - 5*n**4\/12 + 3*n**3\/2 - 2*n**2 - 23*n. Calculate -5*d(y) + 2*j(y).\nAnswer: -y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 3*s - 2. Determine l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, 2, -2\/7, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -37*y - 1. Let g(w) = 18*w. Calculate 5*g(f) + 3*h(f).\nAnswer: -21*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**7\/2520 + h**6\/360 - h**5\/15 + h**4\/3 + 3*h. Let g(i) be the third derivative of x(i). List the prime factors of g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*39\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*a = 4*f, 0 = -2*f + 2*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4748 and 7069772?\nAnswer: 7069772","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 12767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54376?\nAnswer: 2, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398291?\nAnswer: 23, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from atutpapuutptt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2130 + -628. What is the derivative of 154*l**2 + 780 + 779 - w wrt l?\nAnswer: 308*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-835*i - 4*i + 252*i - 728*i)*(-80*i + 88*i - 51*i)*(i + i - 4*i).\nAnswer: -113090*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 552 - 551.7. Which is the nearest to -0.1? (a) 1 (b) 3\/2 (c) 0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -143, -174, -227, -308, -423, -578, -779?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*s + 4, -x + 5*x - 8 = -5*s. Let r(t) = -1 + 3 + t**x - t - 1. Let y(l) = -l**3 - 9*l**2 + 1. Let b(k) = -3*r(k) - y(k). Determine b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/7)*s)*s*s**5)\/(s\/(s\/(s\/(s\/(s**6*s))))*s**5)*((s\/s**0)\/s*s\/(s*s\/s**(3\/4)))\/(s*s**(3\/4)*s**(-5)) assuming s is positive.\nAnswer: s**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -24124355?\nAnswer: -24124356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1860 divided by 62.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 6*k + 8. Let q = 3 + 3. Let a be d(q). Let t(i) = i**2 - 7*i - 7. Let h be t(a). Which is smaller: 3\/4 or h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2\/2 + 3*s - 2. Let i(t) = -t**2 - 5*t + 13. Determine -9*b(u) + 2*i(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:01 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from dmbtbmbedb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 9, 7, -3, 2, 27 in descending order.\nAnswer: 27, 12, 9, 7, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5 + 96*k**4 - 356*k**3 - 816*k**2 + 1360*k + 1728 = 0 for k.\nAnswer: -27, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.6512ns in minutes?\nAnswer: 0.00000000392752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1001*j**2 - 339*j + 8. Let h(k) = -1000*k**2 - 342*k + 7. Let a(r) = -7*d(r) + 8*h(r). What is the second derivative of a(n) wrt n?\nAnswer: -1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30936\/(-46404)*138*1\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 - 9*a + 9. Let r be g(5). Let h be (9\/(r\/(-8)))\/2. Let q(w) = 55*w**3 + 2*w**2 - 1. What is the units digit of q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77751 and 63?\nAnswer: 544257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -12 - 0. Let a(u) = -5 + u**2 + 19*u + 13*u - 41*u + 15*u. Calculate a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 10*z**2 + 4*z**3 + 4*z**3.\nAnswer: 9*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-7)*w**(-1\/4))\/(w**(-3\/5)*w\/((w*w\/(((w\/(w\/(w*w*w**(-10)))*w)\/w)\/w))\/w)) assuming w is positive.\nAnswer: w**(347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/((-5652)\/(-513) + -11). Solve o = 16*z + 83 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 10) in base 3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let l(j) be the first derivative of -j**3 - 1. Determine l(v(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 69. Let l(t) = 83*t**2 - d*t - 3*t - 86*t**2 + 4 + t**3. What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/30 - 56*f**4\/9 + 113*f**3\/9 + 2589*f + 1. Suppose s(k) = 0. What is k?\nAnswer: -113, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57395949*x**2 + 2*x + 91536304.\nAnswer: 114791898*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 10 = 4*i - f, -i = f - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s**(-1\/11)\/s))\/s*s**(4\/9)\/s*s)**(-23))**47)**8 assuming s is positive.\nAnswer: s**(-2170648\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 + 5*j. Let r be b(4). Solve 0 = 2*y - 5*h + 18, -r*h + 2 = -6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:23 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/8, -3, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44703, 89407, 134111?\nAnswer: 178815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 8. Let n = 0 + 6. What is v(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.2. Let i = -460920 - -460920.1399796. Let u = i + s. Round u to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.5 - 0.009.\nAnswer: 14.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4527 in 2, -13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Suppose -48 = p*k - 7*k. What is the least common multiple of 2 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130 - 131 + 61*l + 2*l**2 + 87*l to the form t*l + u + g*l**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46227300 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: Collect the terms in 134706*t**2 - 134706*t**2 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 28 + -1 + (6 - 3) - 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.63 - 3.63. Which is the third smallest value? (a) -0.04 (b) 1\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t - 3*y = 6, 3*t = 5*y + 9. Let b = 0 + 4. Suppose 2*d = -c + 6 + 25, -c = -b*d - 1. What is the highest common divisor of c and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5437+-5909\nAnswer: -11346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -7, -66, -221, -514?\n\"Answer: -7*u**3 + 15*u**2 - u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18*5\/((-45)\/(-21)). Let m = a - -45. Suppose 4*l + 8 = -2*r, 0 = 12*l - 16*l. Sort 12, r, m.\nAnswer: r, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -124*r**2 + 10*r + 22. Let p be q(-2). Let y = 2215 + p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*a - 5 + 1, 0 = -4*a - 4. Suppose -f*i = -3*s - 840, 11*i + s = 7*i + 1680. Calculate the highest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 33*y - 120. Determine t(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evnlxevl. What is prob of sequence le?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 126.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 1960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.9 (b) -0.5 (c) 33 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -644, -824, -846, -698, -368?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 22*k**3 - 460*k**2 + 2492*k + 98. Let j(m) = -8*m**3 + 153*m**2 - 830*m - 35. Let d(a) = -14*j(a) - 5*z(a). Suppose d(w) = 0. Calculate w.\nAnswer: -84, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-22 - -8) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + 11*l - 2. Let s be p(6). Suppose s = -2*r + 9*r. Let t = 181 + r. Calculate the remainder when t is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1329127 - 1.857342\nAnswer: -1329128.857342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 - 5*k**2 - 4*k + 1. Let h(p) = -3*p**3 + 6*p**2 + 5*p - 1. Suppose 4*a + 0*a = 16. Give a*h(m) + 5*l(m).\nAnswer: 3*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + -5 + -30 + 23 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/440682 and 65\/4647192.\nAnswer: 51119112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 391ac + -40?\nAnswer: 3916c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -72478.\nAnswer: 1449560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*d**5 + 48*d**5 + 40*d**5 - 12*d wrt d.\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -10*j**5\/13 + 226*j**4\/13 + 242*j**3\/13 - 24690*j**2\/13 + 57600*j\/13 + 27000\/13 = 0?\nAnswer: -10, -2\/5, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 8 in decreasing order.\nAnswer: 8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33 + 32)\/(3\/(-18)). Solve -1 = -3*k - 5*t, -9*t = 5*k - 5*t - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 684566\/99 + -13831\/2. Find the common denominator of 47\/66 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3))\/(h**(-4\/11)\/h)*(h**(-2\/23)*h)\/(h**(1\/3)*h) assuming h is positive.\nAnswer: h**(576\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 678069 or 678067?\nAnswer: 678067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 3*p + 24. Solve -p*z + 84 = 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.377, 0, 0.1, 2\/11, 0.4, -0.3.\nAnswer: -0.3, 0, 0.1, 2\/11, 0.377, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - 240. Let c = -3 - m. Solve -c = 2*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 - -531. Does 114 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82979256.6 + 0.09955.\nAnswer: -82979256.50045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/(-4725))\/((4\/(-2))\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1*((0 - -2) + -1). Sort s, -5, -2, -1 in decreasing order.\nAnswer: s, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*o + 17, -4*o + 6*u - 5*u + 11 = 0. Let i(m) = -m**2 - m + 1. Let k(z) = -9*z**2 + z + 2. Let n(y) = o*i(y) - k(y). What is n(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334070 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 6079847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208568 and 5232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:53 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {k: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 1810.4.\nAnswer: 12672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/36 + b**3\/9 + 22*b. Solve g(v) = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2659611, -1\/6, 26?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1732 + -0.0268. Let l = -3 + 2.5. Let g be (4\/(-14) + 0)\/(-2). Put l, y, g in increasing order.\nAnswer: l, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 8*w + 6. Let z be s(-7). Let v = 1.2 - 0.7. Which is the biggest value? (a) v (b) z (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = i + 8 - 13, 0 = i - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 602, 1191, 1780?\n\"Answer: 589*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let f(a) be the second derivative of -a**3\/6 - 96*a**2 + 37*a + 2. Determine f(x(c)).\nAnswer: -2*c - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898.134 nanograms in micrograms?\nAnswer: 3.898134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424264 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -471*d**4 - 73*d**2 - 1080310 wrt d?\nAnswer: -1884*d**3 - 146*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6958800 to the nearest 10000.\nAnswer: -6960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4902364536.\nAnswer: 2, 3, 204265189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5833 + 5832.9. Let h be (34\/30)\/(39\/(-24)). Let x = h + 2\/65. What is the biggest value in -1\/2, x, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 5*h = -11*j + 2212, 0 = -5*j - 6*h + 10874. Calculate the remainder when j is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 29799?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*y - 5*y + 7 + 10*y wrt y.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) -61 (c) -2\/11 (d) -1.6 (e) 0.3 (f) -5 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2\/1113489, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 855*n**3 + 10*n**2 - 10*n. Let d(x) = x**3 + x**2 + 4*x. Let u(i) = 6*d(i) - h(i). Find the third derivative of u(l) wrt l.\nAnswer: -5094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + l + 40 = 6*l, -3*a + l - 34 = 0. Sort 4, a, 1, -1.\nAnswer: a, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-2)\/6)*6. Let u be k\/((-15)\/(-9) + -1). Let t(m) = -17*m**2. Let x(r) = -8*r**2. Let w(z) = u*t(z) - 13*x(z). Let d(y) = -y**2. What is d(w(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x. Let k(f) = 2*f - 20. Let g(v) = v - 20. Let m(c) = g(c) - k(c). Let z = 25 + -23. Suppose -4*d - 48 = -z*d. Determine d*m(s) - 3*q(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 375978805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000606767 rounded to 7 decimal places?\nAnswer: -0.0000607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 18. Let n be x(2). Suppose -n*r + 2070 = 390. Calculate the remainder when r is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890301859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 1. Suppose 10 = x + 2*q, 17 - i = 3*x - q. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1443 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 118\/(-12)*708\/885?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 123, 235, 333, 411, 463?\n\"Answer: -j**3 - j**2 + 122*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 84.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - 5 = 5*a, -4*a = -4*d - 20. Let c be 0\/((4\/a)\/2). Suppose 5*p - 2*v - 105 - 205 = c, 4*v - 124 = -2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:55 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/1*36\/10. Is x >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y - y + y + y + (y - 3*y + 0*y)*(4 - 2 - 1))*((-2*y - y + 0*y)*(-3 - 3 + 4) - 25*y + 4*y - 12*y).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -3421, 0, 2\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 22*a - 0*z + 885, 33*z - 195 = 5*a + 32*z for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -45 + 2\/4*-6. Let s = 165 + d. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51138 divided by 17046\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**4 - z**2 + z. Let h = -8 + -4. Let q(j) = -21*j**4 - 21*j**3 - 12*j**2 + 24*j. Let t(r) = h*g(r) + q(r). Determine k, given that t(k) = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 1. Let v(p) = -p - 8. Let q be v(-10). Let y be n(q). Calculate the greatest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 25*k - 1. Let r be s(-1). Let w = r - -26. What is the closest to 2 in 0.5, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - 15?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -25*d - 164. What is g(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -23. Solve -2*p = -z*q - 16, 3*p - 2*p + 27 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 17*v + 30. Let h be j(-15). Suppose -11*a - 31 + 130 = h. Solve 0 = a*p - 4*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let s = 2 - 1. Let q = s - 1.1. What is the nearest to 1 in q, z, -3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 10*n**2 - 11*n + 4. Let l be v(11). Let z(a) = 3*a + 3 - l*a - 3*a. What is the tens digit of z(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 1, t: 4, i: 7}. Give prob of picking 2 t and 2 i.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -512 + 548. Calculate the highest common factor of h and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1882042, 3763787, 5645532, 7527277?\nAnswer: 9409022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3140317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(48) + 4 + -5 - ((sqrt(110) - (2*(sqrt(110) - (sqrt(110) - sqrt(110)*2) - sqrt(110)) - sqrt(110))) + sqrt(110))\/(sqrt(20)\/sqrt(32)))**2.\nAnswer: 7*sqrt(11) + 543\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176.5 - -109. Let i = j - -75.362. Let u = 0.162 - i. What is u rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -20. Let v be ((-1)\/9)\/(5\/w). Find a such that a**4 + 0 - v*a - a**2 + 1\/3*a**3 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23483, -93928, -211353, -375770, -587191, -845628?\nAnswer: -1151093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(2 - 1 + 1)*((3 + 2 - 1)*(-4*r**4 + 5*r**4 + 0*r**4) - 2*r**4 - r**4 + 4*r**4).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -15 + (-49 - -6) + 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 0 = 246*r - 244*r, 4*r = -5*u + 95 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q - 4. Let g be -4 + 1*(q - -2). Let z = -4 + 0. What is the nearest to 1 in -1, g, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 939, -4, 0.9.\nAnswer: -4, 0.9, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2*1\/(-2). Let g = 0 - 4. What is the units digit of (q - -1)*(-14)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*l - d, -l = -169*d + 167*d + 1. Which is the nearest to -2? (a) 16 (b) 12 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -41. Suppose -a*j - 2889 = -23*j. List the prime factors of j.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.057723 + -0.4.\nAnswer: -0.457723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -34. Is 2506\/6 - z\/33 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -193, -0.5 in descending order.\nAnswer: 1\/2, -0.5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0962782 nanometers?\nAnswer: 0.0000000000962782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x - 3*x**2 - 9 + 3 + 12*x - 2*x.\nAnswer: -3*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10133110 (base 4) in base 16?\nAnswer: 47d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = -2*m + 5*q, -5*m = -3*q - 9. Put 0, -5, m, 4 in ascending order.\nAnswer: -5, 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1517)\/(-2730) + (-134)\/(-26) + -5 and 31\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 584 + 10*j**3 - j + 584 as c*j**3 + g + n*j + m*j**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 - 1 = 0. Suppose -h = -4*f + 8. Let w(n) = n + 5. Let i be w(f). Solve 0*o = o + q - i, -3*o + 4*q = 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(245)*1 + 4 + sqrt(245) + 1)**2 + ((sqrt(245)*-2*2)**2 + -1)*1.\nAnswer: 904 + 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118, 2914, 9112, 18482, 31030, 46762, 65684?\n\"Answer: f**3 + 1577*f**2 - 1706*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 - 33. Let p = 97 + -146. Let o = w - p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095646 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: Let k = -4.8 - -5. Suppose 2*s = -4*c + 16, 14 + 2 = 2*s + 5*c. Let n be (-4)\/s*10*(-6)\/15. What is the closest to -2\/9 in k, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 + 6*c + 8. Let y be g(-4). Let s = 240 + y. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (8 + 5) - 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -8. Let a be (-11)\/7*(-4)\/(-8). Let l = a - -2\/7. What is the second smallest value in l, 1\/8, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 152434665*g**2 + 154474665 wrt g.\nAnswer: 304869330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325 + 1009. Suppose -4*r + v = 4*a, -2*a = -2*r - 34 - 296. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 19*t**5 - t**3 - 3*t**2\/2 + 185*t - 2008. What is the second derivative of b(y) wrt y?\nAnswer: 1140*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4 + (sqrt(7) - sqrt(336)\/sqrt(3)) + 4 + -5)*-6 + -1)**2.\nAnswer: 396*sqrt(7) + 2389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 8 in increasing order.\nAnswer: 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:14 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2873 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -87189.085 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367144863.\nAnswer: 2367144863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*a - 3*f + 10, -2*a = 2*f - 6. Which is smaller: a or -23\/202?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 - 2*r**2 - 2*r**2 + 3*r**2 + r**2 + (0*r + 0*r - 2*r)*(-4*r + r + 2*r) + r**2 - 2*r**2 + 2*r**2 - 40021 + 40021 + r**2)*(0 + 4 - 1).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00301693 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741880445 is divided by 347.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose -j*x - 25 = -1. Does 3 divide (3 + x)\/(6\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 10*a + 4*a + 246 = 565 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 436 - 305. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000249776209 to six dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12202292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1714710 and 15775332?\nAnswer: 78876660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -9 - (4 + 1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31808 * 2.276.\nAnswer: 72395.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16794 divided by 54?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193512 and 29320.\nAnswer: 967560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0077525us in hours?\nAnswer: 0.00000000027993125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 8*a**2 - a - 2. Let x be l(-8). What is the units digit of x\/(-4)*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(11)*1 - (sqrt(66)\/sqrt(3))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 3. Let c be m(-7). Let b = c + 25. Solve 5*k = 4*r - 8 + 2, -4*r + k = -b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3096 - -3102. Solve -2*y + p = -3*o + 6*o, 4*o = -3*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3405 + -0.2\nAnswer: 3404.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 - t**2 + t - 1. Give j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25639637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 0*n + 0*n)*(-12546*n + 4432*n - 16662*n - 13166*n) to o + v*n + s*n**2 and give s.\nAnswer: 75884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 8318944.\nAnswer: 158059936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*d + 445, -2*g + 0*g - 410 = 5*d. Let u = -71 - d. What is the greatest common factor of 208 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179965616 is divided by 1339?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*i - 147087 = -148550 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - p**2 + p + (3*p + p - 3*p)*(-4*p - 2*p + 3*p) + 18*p**2 + 17*p**2 - 5*p**2 in the form c + d*p + o*p**2 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-114)\/(-57) - (-16)\/(-9). Factor -r*h**2 - 4\/9 + 2\/3*h.\nAnswer: -2*(h - 2)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1032921097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07451967 minus 38?\nAnswer: -37.92548033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhhh when four letters picked without replacement from {x: 1, h: 4, f: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(n - 5*n - 2*n)*(100*n - 303*n + 114*n).\nAnswer: -1068*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0087 * -0.19.\nAnswer: 0.001653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(3 + 0 + -2). Suppose 2*i + a*t + 2*t = 28, 5*t + 80 = 5*i. What is the greatest common factor of i and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:27 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 68 = -4*t, 7*v = -13*v + 16*v - 5*t + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -7\/3, 4, 8\/3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 6, z: 3, m: 1, a: 1}. What is prob of sequence zl?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -840493*j**2. Let r(v) = -15*v**2. What is r(g(m))?\nAnswer: -10596427245735*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**5 + 42166*w**4 + 855744*w**2 wrt w.\nAnswer: 60*w**2 + 1011984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/2 + 19*c**3\/8 - 19*c**2\/8 - 3*c\/4 = 0. Calculate c.\nAnswer: -1\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + m - 4*m + (0 + 0 + 1)*(-2*m + 2*m - 2*m) + 3 - 2*m - 3 + (0*m + 2*m - 3*m)*(1 + 3 - 3).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63268, -253075, -569428, -1012333, -1581796, -2277823, -3100420?\n\"Answer: -q**3 - 63267*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*x**4 + 5*n**3*x**2 - n**3*x + 4*x**2 - 4*x wrt x.\nAnswer: 12*n**3*x**2 + 10*n**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/39010576 and -133\/1584.\nAnswer: 351095184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**(-6\/7))\/g))\/g)\/g**(-8) assuming g is positive.\nAnswer: g**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(12\/(-14) + (-9 - (-3 + -7)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262571*f**2*u - 13*f**2 + 5*f*u - 6*f - 5115*u - 1 wrt f.\nAnswer: -525142*u - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/72 - (-29)\/(-9). Is 24 a factor of -4*v\/9*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -20. Let p = 52 + u. Let i = 35 - p. What is the smallest value in 0, i, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (2 + -2)) + (-154 - -138)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177153 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2445 and 4401?\nAnswer: 22005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349580481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53456 + -57?\nAnswer: 53388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/258311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o**3 - 2*o**2 + 46*o + 47. Let b be g(-1). Which is bigger: -95 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144 - -134) + 10 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32453 is divided by 816.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 3*v - 6*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4594, 8891, 16052, 26077, 38966?\nAnswer: 54719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a + 3*a + 21*a.\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p - 5. Let c be o(5). Let v(d) = 5*d - 43. Let n be v(8). Let r be (-6)\/3*n\/(-6)*-5. Solve -16 = -3*t + b, -b + 6*b = r*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c. Let x(t) be the first derivative of 5*t**2\/2 + 3*t + 939. What is d(x(r))?\nAnswer: -65*r - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3651, -6941, -10247, -13563, -16883, -20201, -23511?\nAnswer: -26807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595 and 27000.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 + -4392389.\nAnswer: -4392230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(35))\/sqrt(7) + sqrt(5) + 4*sqrt(320))*-2.\nAnswer: -64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 143*j + 138*j = -58, 0 = -4*y - 4*j - 24 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 615024001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4 + -1 - 2) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 3*y + 3. Let d be c(-4). Let p = d - -16. Let x be p\/2*(-6)\/9. Solve x*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3)*n*n)\/(n**(2\/9)*n))\/(n**(-7\/3)\/(n\/(n\/n**0*n*n)*n)))**50 assuming n is positive.\nAnswer: n**(1250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -0.4 (c) 1\/6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4928, -9841, -14754, -19667, -24580?\nAnswer: -29493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeejejjjejj. What is prob of picking 1 e and 3 j?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 45*g**2 - 13*g - 153. Give j(23).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7 - 2) + (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 6560*j**2 + 14916157*j\/4 + 1071657951\/2.\nAnswer: (j + 289)**2*(j + 25662)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99657 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - r - 480. Solve 5*i**2 + 9*i**2 + 23*i + 33*i - 18*i**2 + r = 0 for i.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -4, 329, 633, 6 in descending order.\nAnswer: 633, 329, 7, 6, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 242 = -4*p + 2*f, 0 = 2*p + f - 74. Let d(a) = -3*a**2 + 2*a - 40 - 2*a + p. Determine d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28095 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*o - f, f + 26 = 5*o - 0*o. Suppose 5*z - 10 = 0, -5*y + o*z - 83 = 67. Calculate the remainder when (-122)\/(-7) + 12\/y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1771677*n**6 + 14*n**2 - 7*n + 6350.\nAnswer: -212601240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*c + 106522 + 29196. Is c a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose -j + 0*i + 24 = -h*i, j = -i. Suppose -4*z + 0*f + 5*f + 270 = 0, -2*z = -j*f - 138. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -605 divided by -816.\nAnswer: 605\/816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2583882895.\nAnswer: 5, 11, 1367, 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3091292069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*p + 646*p = -2450. Solve -2 = 2*i + 3*a, -2*i = -p*a + 352*a + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 729, 730, 731, 732, 733, 734?\n\"Answer: t + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.059 + -0.141. What is the third biggest value in 5, -5, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*h + 62. Let m = 26 + -7. Let i = 31 - m. What is the remainder when h is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790081098 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4. Sort d, 3\/7, 3, 2\/15.\nAnswer: d, 2\/15, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2\/7, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -6, 5*m = 330*o - 331*o - 28 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - m - 1. Let y(x) = 19*x**2 + 33*x - 1. Let d(i) = -2*a(i) + 2*y(i). What is the second derivative of d(p) wrt p?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 71*n + 533. List the prime factors of f(7).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15334 and 4590.\nAnswer: 2070090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*k - 411*k - 648*k - 357*k + 144*k.\nAnswer: -1874*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 189 (c) 2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7. Let b be g + (1 + 102)\/1. What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.16 - 35.1. Let n = 1.1 - t. Let h = n - 0.04. Which is the nearest to -1? (a) h (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -67, 3\/7?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Let p = 16 + w. Suppose -r = -2*r + p. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((1232\/4)\/14)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72516721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 71*s + 228. Let m be r(74). Suppose 2*d = -2*l + 26, d - 6 - 13 = 2*l. Calculate the highest common factor of m and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102e71 (base 15) to base 11\nAnswer: -6955aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 0.1. Let y = 8 - 9. Let v = 7 + -2. Which is the closest to y? (a) v (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 2033?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00436147292 rounded to five dps?\nAnswer: -0.00436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54910 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20 and 563980114849.\nAnswer: 563980114829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*a**3 - 19*a**3 + a**2 + 26*a**3 as v*a + z*a**3 + i*a**2 + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93818941 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0\/(3 - 5). Suppose -g + 36 + i = 0. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/(l**4*l*l))\/l*l\/l**(1\/15))\/(l**3)**(5\/4) assuming l is positive.\nAnswer: l**(-349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 3, u: 3, m: 6}. Give prob of sequence uui.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -3422*j + 3435*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = 109*g - 958 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503248 is divided by 503224?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-13 + (0 - -1) - (-45 + 25 + 120)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3584 = 112*c + 1344 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 253032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 12482*u**5\/13 - 50244*u**4\/13 + 3938*u**3 - 1272*u**2\/13 + 8*u\/13 = 0.\nAnswer: 0, 1\/79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*j**4 - 4*j - 171 with respect to j.\nAnswer: -124*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2 - 1051*c + 12768. Determine b(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7637145 + -1.36373. Let c = 0.03 + 0.37. Let q = u - c. Round q to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 25 + 13 - 3839*t + 51*t**2.\nAnswer: 51*t**2 - 3839*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*n**2 - 21946*f*n - 4*f + 86*n**2 - 9 wrt f.\nAnswer: -n**2 - 21946*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:47 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*h - h + 38, 4*r + 3*h - 59 = 0. Solve 13*p = r*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 4. What is the second derivative of k*y + 442*y**5 + 2*y - 441*y**5 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271, -21715, 1 in descending order.\nAnswer: 1, -271, -21715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**7\/210 + i**3\/2 + 5*i**2\/2 - 5*i. Let u(k) be the first derivative of f(k). Differentiate u(y) with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50741291 is divided by 5237?\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*t = 180*t. Let s = 17 - 15.4. Let q = s + 0.4. What is the second biggest value in 0.04, t, q?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -78. Let q(c) = c**2 - 8*c + 9. Let y be q(x). List the prime factors of y + (-9)\/(9\/(-2)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i**2 - i + 2. Let w be d(3). Let m be ((-152)\/(-6))\/(w\/12). Let t = m - 13. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-4)\/8*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 3*b - 5*q, -4*b + 5*q = 0. Solve b = 5*s - 6*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n - 12 - 28. Let m(l) = -14*l - 68*l + 2*l**n + 82*l. Let b(o) = 98*o + 1. Give b(m(q)).\nAnswer: 196*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*u + 2265 = 0, 6*h = 8*h + 2*u - 1510. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2 and (-45)\/(-36)*174\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10414*i - 10033*i + 381 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a2 + 6c42?\nAnswer: 7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682*u + 80 = 690*u. What is the second derivative of -1719*i - 7 + 245*i**3 + 1782*i + u wrt i?\nAnswer: 1470*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**8\/4200 - y**7\/1400 + y**5\/600 - y**3 + y. Let d(w) be the second derivative of u(w). Factor d(x).\nAnswer: -x*(x + 1)**2*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -0.35 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 182*v + 1088. Let k be f(-6). Let p be 4\/14 + (-6)\/(-28). Sort k, -0.2, p, -1\/11 in descending order.\nAnswer: p, -1\/11, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 35. Let r(y) = -6*y - 15. Let p be r(k). Let z(m) = m**2 + m + 1. Let x be z(p). Solve 0 = 2*f + 5 - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*a + 463*a - 46*a**2 - 852*a.\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 460\/69 + -9 + 3 + -1. Which is the biggest value? (a) 0.5 (b) d (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3868 is divided by 1285?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 33 + 5 = 0. Let r be 3 - 0\/(-1) - -1. Suppose -d - r = -6. What is the lowest common multiple of d and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -0.07, 242725 in ascending order.\nAnswer: -0.07, 40, 242725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((3*sqrt(1300)*2 - sqrt(1300)) + 3 + 6*1*sqrt(1300) + sqrt(1300) + 5 + -3 + 2))**2.\nAnswer: 60480*sqrt(13) + 6740964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 428102092 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*c = 13063 - 4263 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687009051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*g**2 + 155*g**2 - 33*g**2 in the form m*g**2 + v + d*g and give m.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3706613l?\nAnswer: 370.6613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3131527 to 3 decimal places.\nAnswer: -1.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-90)*5\/3*-3. Let d(f) = -131*f - 2. What is the tens digit of d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35399165 and 676.9.\nAnswer: -35398488.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (13 - 8) - (3 - 1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2084 + 4083\/2. Suppose -109 - 31 = -4*i. Find the common denominator of h and 0 + 1 + i\/(-120).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 365.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8502 is divided by 8382?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3410.202 months to decades.\nAnswer: 28.41835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**28\/m*(m*m*m**(-10)*m)\/m)\/((m\/(m\/(m*m*m**42*m*m*m)))\/m**(3\/14)) assuming m is positive.\nAnswer: m**(-389\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 4*n - 46, -3 = -822*n + 825*n - 0 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2996*i**3*l*n - 27*i**3*l - 77*i**2*l*n + 2*i**2 + i*l + 2*i - n wrt i.\nAnswer: -17976*l*n - 162*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 0, 428.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let m(q) = q**2 + q. Let j(z) = 7*f(z) - 3*m(z). Let r be 2 + 0 - (-8 + 8). Determine j(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 14\/(686\/(-441)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001592638 to six dps.\nAnswer: -0.001593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8558, -34255, -77076, -137015, -214066, -308223?\nAnswer: -419480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1030*s**2 + 1. Let f(b) = -2*b. Calculate l(f(n)).\nAnswer: -4120*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 10*v = 5*v + 73, -4*v = -6*x - 50 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -23*p + 60. Let t be a(4). Is t at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.78 - -49.189654678.\nAnswer: 76.969654678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3)*m*m*m**3*m*(m*m*m*m**(-1)*m)**(-1))**(-33) assuming m is positive.\nAnswer: m**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3912*f - 3923*f + 7812*f.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 + 3)) + -6 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 53. Sort l, 8, 1.\nAnswer: 1, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*x**3 - 133*x**3 - 136*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 367699271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((468\/22)\/(-9))\/(14\/(616\/(-4)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u, 3*m = -2*u + 23 + 35. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 30*n**2 - 237*n + 170. Calculate v(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, and 1 p when three letters picked without replacement from {p: 5, j: 2, o: 4, d: 7, n: 2}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-10)\/((363\/(-51) - -4) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 8 = 0. Let g be -1*(-3 + 2\/h). Factor 56\/3*u**g + 3*u**4 + 16\/3 - 16*u - 32\/3*u**3 - 1\/3*u**5.\nAnswer: -(u - 2)**4*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 1. Let q = -502 - -549. What is the remainder when q is divided by k(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**2 + 1361*p - 5. Is k(0) 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 cngngnnk. What is prob of sequence ncgn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1*(-15)\/21. Which is the closest to -0.07? (a) 0.3 (b) -0.3 (c) l (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 109 and -22?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 48. Suppose -d - 5*q = 6, 0 = 2*d - 4*d + 4*q + p. Suppose -3*i = d - 19. Solve -4*j - i = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/83637423 and 9\/2.\nAnswer: 167274846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(73*u + 15*u - 12*u).\nAnswer: -152*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -380 + 382. Let w be 2 - 1*(2 + 0). Suppose w = -5*a + 5, -i*a + 4*a + 38 = 2*j. Calculate the lowest common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17617 divided by -8.\nAnswer: 17617\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263 = -74*k - 153 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 223*b - 353. List the prime factors of p(19).\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*x - 40*x + 125*x)*(-x**2 + 2*x**2 - 2*x**2) + (0 + 0 - 2*x**3)*(0 - 3 + 5) to the form s*x + d*x**3 + c*x**2 + r and give d.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1572)\/(-8) - (-9)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8420\/19 + -304393\/684. Calculate the common denominator of (-75)\/7*(-7)\/2 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 - (11 - ((-7514)\/56)\/(-13))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2*l - 4, 5*n + 4*l + 11 + 0 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 201, 219, 245, 279?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -94, -196, -334, -508, -718?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961358?\nAnswer: 2, 233, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22477116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-240)\/1332 - (-12)\/72. Which is the third smallest value? (a) -1 (b) -2 (c) -2\/15 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 123833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-6) - 1\/(-2). Suppose -2*b + 26 = -4*k, -3*b + 6*b + k = 46. Suppose -6*d + 45 = -d. Solve -y + t*s = b, y - 2*y = s - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(3564)*-2 - sqrt(3564))) + 1)**2 + 2.\nAnswer: 112*sqrt(11) + 34499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-35))\/((4029\/119)\/79)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -9*x + 11*x, 5*x + 29 = y. Suppose y*r = -168 + 2680. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 45 = -q + 3*m, -3*q + 111 = 3*m. Calculate the highest common divisor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 17. What is the units digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000707812 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/(-1)*(-2352)\/2310*-11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**2 + 2*t + 1. Suppose 4*a = -8 - 16. Let z = a - -8. Give n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 74. Calculate w(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/31 (b) 5 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n - 1\/4*n**2 + 0 = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (24 + -1 + -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(63))**2.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34995 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*p - x, -10*p - 3*x - 15 = -25*p - 106*p - 10*x + 2*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -u + 12, 21 = 5*u + 3*o - 5*o. Factor -4*y**2 - 3*y + 6*y - 5*y**2 - 105*y**u + 3*y**4 + 102*y**3 + 6.\nAnswer: 3*(y - 2)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/4 - (-20629)\/(-104). Let j = h + -2407467\/520. Let r = j + 4820. Find the common denominator of r and 23\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 162\nAnswer: -162.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/3 + 17992*s\/3 + 22464008\/3 = 0?\nAnswer: -7498, -1498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**4 + 75*j**2 - 4569*j wrt j?\nAnswer: -60*j**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -2 (c) 4 (d) -1\/2 (e) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, 11.194, 0.123, -1, -0.4?\nAnswer: 11.194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6322752 and -103\/252?\nAnswer: 44259264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -22*i**3\/3 - 26*i**2 + 82*i - 1. Let g be f(-2). Solve 3*j - 24 = -g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6)*(-240)\/200 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 159 (b) 3 (c) -5 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.535521 to 3 decimal places.\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 21*n + 4297. Give c(-56).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((-5 + sqrt(272))**2 + 1) + ((sqrt(272) - (-5 + 3*sqrt(272)))**2 - sqrt(272) - sqrt(272)) + -5 + (sqrt(272) - (-1 + sqrt(272))).\nAnswer: -208*sqrt(17) + 2008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 12*t - 64 = 0. Put 9, t, -3 in decreasing order.\nAnswer: 9, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i + 0*i + i + (0*i + 2*i - 3*i)*(2 - 6 + 2) + (3*i - i + 0*i)*(-2 + 0 + 1) - 5*i + 5*i - 3*i to x + s*i and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-2)\/10). Let y(f) = -f**2 - f + n*f - 4*f**3 - 2*f. Let s(i) = i**2 - 57*i - 1. Let c be s(57). What is y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75324480 + -1.632.\nAnswer: -75324481.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5802929, 11605864, 17408809, 23211764, 29014729, 34817704, 40620689?\nAnswer: 46423684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 6*o**3 + o**3 + 2*o - 2*o - o**3 + (0*o**2 - 3*o**2 + 5*o**2)*(o - o + 2*o) + 1 - 1 - o**3 + o**3 + o**3 - 6*o**3 - 4*o**3 + o**3 + o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4643120 divided by 80.\nAnswer: 58039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5 = -9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 129546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 9. Let m(w) = -1. Let d(q) = -3*m(q) + z(q). What is the first derivative of d(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26935912?\nAnswer: 2, 3366989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 1 + 1)*((-24 + 96 + 59)*(-2 + 0 + 4) - 2 - 1 + 5)*(21*o - 96 + 96) to the form t*o**2 + h + n*o and give t.\nAnswer: 5544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3970 + 744 + 4*y + 3375.\nAnswer: 4*y + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -6*v**5\/5 - 1114*v**4\/5 - 4980*v**3 + 2825604*v**2\/5 + 7710282*v\/5 - 2883114\/5 = 0.\nAnswer: -111, -3, 1\/3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*4479\/(-12)*-2. Suppose -6049 - n = -5*y. What is y rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24375 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 6*y + 5. Let h(w) = w**3 - 7*w**2 + 2*w - 9. Let g be h(7). Determine l(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:40 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 60*f**2 - 136*f + 68. Determine h(-57).\nAnswer: -1927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k*p**4 + 159*k*p**3 + 552*k*p**2 - 2*k + 2*p**4 + 2*p**2 wrt p?\nAnswer: 72*k*p + 954*k + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -5*j**8\/336 - j**7\/6 + j**6\/12 + 23*j**5\/6 - 325*j**4\/24 + 125*j**3\/6 - 62*j**2. Factor i(w).\nAnswer: -5*(w - 1)**3*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -29*j + 1. Let p be (-8)\/28*7\/(-1). Suppose -2 = 4*d - 5*x + p, 2*d + 5*x = -2. List the prime factors of o(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnnp. Give prob of sequence pn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/5)\/k**(1\/3)*(k*k**2)\/k**(-10))**(-5) assuming k is positive.\nAnswer: k**(-166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -11*l**3\/6 + 28*l + 2. Let j(h) = -496*h. Determine -6*j(t) + 272*k(t).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563 = 2*i + 5*c, 2*i + c - 556 = 3*c. What is the remainder when i is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-20)\/16*1. Let h be (10\/5 + 1)\/1 - 2. Sort m, h, -0.5.\nAnswer: m, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4675 - -4611.855. Let w = 0.145 + v. Let y = w + 68. Which is smaller: 2\/5 or y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a18 (base 12) to base 16\nAnswer: 56b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 + 2*y - 12. Give n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s - v = -86, -s = 5*v + 2. Let q(b) = -10*b + 12. Let a be -3*(-2 - -4 - 8\/12). Calculate the remainder when q(a) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13 + (-162)\/(-12))*19)\/((-1)\/(-4)). What is the highest common divisor of b and 52782?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 4, g: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z + 15. Let s(v) = 22*v - 23. What is -8*j(a) - 5*s(a)?\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -9272 (c) 1 (d) 4 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3 - 122*f**2 - 678*f - 990 = 0.\nAnswer: -55, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782*x**3 - 10*x**2 + 0*x**2 - 1960*x**3 - 427*x**3.\nAnswer: -3169*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306 (base 16) to base 7.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100895 + 100890. Let g = -0.2 + 1.2. Which is the third smallest value? (a) g (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*q + 17, -5*z + 3*q - q = -20. Factor -h**4 + h**3 + 0*h**4 - h + 2*h**3 + h**2 - z*h**3.\nAnswer: -h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*v - 7*s, -12 = -4*v - 27*s + 26*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 284 - 355 - 1155 = 589 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x = 61*x - 4*h + 8, -12 = -2*x - 4*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 273, 272, 271, 270, 269?\n\"Answer: -b + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z - z. Suppose 3 = 4*s - 3*t, -5*s + 3 = -5*t - 2. Suppose 76 = 5*d + z*y - 114, s = d - 3*y - 22. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 2*j - 2*j + (0 + 1 + 1)*(j - 2*j + 0*j) + j + 2*j - 2*j - 2*j + 0 + 0 + (141 + 1915 + 117 + 170)*(-1 + j + 1).\nAnswer: 2339*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 19701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5643, 11017, 19975, 32517, 48643?\n\"Answer: 1792*s**2 - 2*s + 3853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2430625 and 625?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5144662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -811 + 463*x + 466*x - 928*x in the form g*x + u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/7 + 492*r\/7 - 70 = 0.\nAnswer: 1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001343791 rounded to seven decimal places?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 110 = 3*k + 140, 2*k = -2*q + 84. Let p = -36 + q. What is the remainder when 0 + 20 - (-3)\/(-1) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341 - -217. Let d = o - -128.9. Let i = d - 5. Put i, -3\/5, -2\/7 in ascending order.\nAnswer: -3\/5, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 3 (b) 1.322 (c) 8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from dnnnnndnndnn.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 6716*j\/3 + 22320.\nAnswer: 2*(j - 3348)*(j - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -32. What is the lowest common multiple of (10\/5)\/(3\/15) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-18))\/((-11)\/22). Let r = 0.392 + -0.192. Which is the closest to r? (a) 0.2 (b) h (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200300 - -3?\nAnswer: -1200231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Calculate l(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/10906 and 73\/410.\nAnswer: 54530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-190))\/(-3*8\/90).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - y + 7 = 0, 0 = 4*q + 2*y + 52. Let v = q + 7. What is the closest to 2 in 2\/7, v, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(50))*2.\nAnswer: 8 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrsr when four letters picked without replacement from {c: 7, s: 7, r: 5}.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 17*z - 10*z - 5*z - 13 to f + d*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w**3 + 2*w**2. Let a be d(2). Suppose -5*r = -n + 36, a = -0*n + 5*n - 5*r. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -5 - ((9 - 1) + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 - c - 26. Let r be s(5). Let n(d) = -d**2 - 5*d - 9. Calculate n(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3534*g**4 - 5*g**3 - 5*g**2 + 62733447*g.\nAnswer: -42408*g**2 - 30*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120202002102 (base 3) to base 2\nAnswer: 1001011101010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8430 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(360\/296) - (-4)\/18?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + d**3 - 4*d**2 - 25*d + 0*d**3 + 23*d in the form u*d**3 + p*d + v*d**2 + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppcpcp. What is prob of sequence ppcc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/1090)\/((-6)\/(-8)). Let c = v - -537\/436. Factor c*d - 1\/4 - 3\/4*d**2 - 5\/4*d**3 + d**4.\nAnswer: (d - 1)**2*(d + 1)*(4*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b + 28*b**2 - 443*b**2 - 37*b.\nAnswer: -415*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170 + -187 + (0 - -21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*h - 96, -61 = -3*h + 3*l + 65. Let t be -24*(-7)\/28 + 1 + -369. Let i = 380 + t. What is the lowest common multiple of i and h?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g = -20. Suppose 178 = 5*m + 4*w, -2*m - g*w = -0 - 76. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**4 + 4 + 2*o - 2 + 4*o**4 - 6*o**2. Let b(w) = -4*w**4 + 7*w**2 - 3*w - 3. Let z(r) = -2*b(r) - 3*u(r). What is the third derivative of z(x) wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -i - i + 3*m, -2*m - 526 = -2*i + 15*i + 597 for i.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-624)\/(-2160) - (-1)\/9)\/(-2). Let r be (-9)\/(-42)*8\/18. Which is the closest to 0.1? (a) r (b) j (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3922, 3923, 3924, 3925, 3926, 3927?\nAnswer: 3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/80 - 17*v**5\/40 + 63*v**4\/16 + 81*v**3\/4 + 72*v**2 + 7*v. Let l(f) = 0. What is f?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*r - 3 = -2*d - 1542*r, -2*d = r + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-2\/5)\/q*q)\/(q\/(q\/((q*q*q*q**0*q)\/q))*q))\/((q*q**(-2\/5))\/q*q**(-6\/7)) assuming q is positive.\nAnswer: q**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7054 = 2*v, 2*m - 3834 = -5*v + 13804. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 - (31 + -22) - -19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 + -226. Sort 2, -5, m.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 435*v + 10. Let s be m(4). Let y be (12\/21)\/(60\/s). Let n = 52\/3 - y. Which is greater: 1\/43 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*i - i - 5*w, 0 = 5*i + 3*w - 153. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -3. Let k be 25\/3 + 6\/w. Suppose -4*s - 1 = -k. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276292.8 - -0.254?\nAnswer: 276293.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddd when four letters picked without replacement from {d: 3, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113662 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3864922 and 48614.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-28))\/((-6)\/(-42)). Let u(l) = 4*l + 343 - t*l**2 + 4*l**2 - 342. Calculate u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - 1) + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzbbfzzbffbzffzfzz. Give prob of sequence zffz.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 + 5*z + 11. Let l be 14\/(2 + 5) + 2. Let p(h) = -32 + 5*h**2 + 22 - 3*h - 5*h + l*h. Calculate 4*f(u) + 5*p(u).\nAnswer: u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 5*g**3\/3 + 185*g**2\/2 + 510*g + 174. Factor c(l).\nAnswer: 5*(l + 3)*(l + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1376 and 48043771?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdqardc. Give prob of sequence rc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5 + 21. Suppose 0 = a + 3*j - b*j - 28, 0 = 2*a - 2*j - 16. Solve 2*m - m + 2 = -x, a*x - 34 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8236390*j**2 - 217*j - 225*j + 442*j + 8236436*j**2.\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 412, 2398, 7762, 18184, 35344, 60922, 96598, 144052?\n\"Answer: 280*f**3 + 9*f**2 - f + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 41. Let m = -0.03 - 0.07. Let x = m - -0.3. What is the closest to x in -0.5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 23*b**2 + b - 23. Let i be g(23). Suppose i = -8*u - u + 81. Calculate the highest common divisor of 153 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r + 50*r - 99. Let s(f) be the third derivative of 1\/540*f**6 + 0*f**5 + 0*f + 0*f**4 - 9*f**2 + 0 + 0*f**r. Factor s(w).\nAnswer: 2*w**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 4. Let s(f) = f**2. Let p(v) = l(v) - 5*s(v). Let p(d) = 0. Calculate d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421363 - 1478202 = -f. Suppose 4*p + j = -652640, -6*p - 5*j = -2*p + 652624. Let i = f - p. What is i rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1300 + -1285. Let p(g) = 5*g - 75. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26052*11.11\nAnswer: 289437.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*r - 237200 + 663425 = 0, 5*r + 284173 = 2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, and 2 z when four letters picked without replacement from {o: 7, z: 8, v: 4, e: 1}.\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r - 3. Let t(i) = -i - 2. Let b be t(-1). Let g be n(b). Let w(m) = -134*m - 12. Let c be w(g). Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26044 divided by -12.\nAnswer: -6511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 - 6)*(3*b**2 + b**3 - 3*b**2) + 4*b**3 - 2*b**3 + b**3)*(0 - 2 + 4)*(-2 - 2 + 0).\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -12) + 15 + (-23 - -6 - 6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21491, -19087, -16685, -14285, -11887, -9491?\nAnswer: -7097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 + 1185020*l**2 + 8294984*l + 11849920 = 0. What is l?\nAnswer: -296248, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1.2 (c) 59 (d) 3 (e) -1\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 192343 + 192343.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5 + 19464*b**4 - 23832824*b**3 + 375991264*b**2 + 447587100*b - 799765000 = 0.\nAnswer: -2, 1, 17, 2425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88897 divided by -2.\nAnswer: -88897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 1, l: 2, d: 3, c: 1, t: 1, m: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 4. Suppose -b + w*p + 8 = -0*b, -2*p + 20 = b. Is (48\/(-21) - -4)*b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611394.2 litres to millilitres.\nAnswer: 611394200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 131462*k - 4994834.\nAnswer: -(k - 262886)*(k - 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 10 + 136 = 0. Which is smaller: y or 545?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + (6 - 17) + -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 - 14*y + 5. Let v be x(8). Let n = 7 + -2. Suppose n = q + 3*r - 2, 2*q - 3*r = 14. Calculate the greatest common factor of q and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25714, 24698, 23006, 20638, 17594?\n\"Answer: -338*o**2 - 2*o + 26054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 3\/2, 0.4, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*p = 5*f - 3, -3*p = -4*f + 11. Let k(t) = t - 1. Let x(w) = -4*w + 32. Let n(b) = -3*k(b) + x(b). Let g be n(f). Solve -d = d + o, -o = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2317 is divided by 167.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66479057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -966, -969, -974, -981, -990, -1001, -1014?\n\"Answer: -v**2 - 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:28 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491464263.\nAnswer: 3, 461, 355361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 139, 0.4, 15\/8, 3\/16, 0.5, 3\/8?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 2. Let v be (-31045)\/(-91) + (-1 - -4). Let s = v + -344. Put p, -5, s in ascending order.\nAnswer: -5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1079 + 1954. Suppose 6*i = 13*i - y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {t: 4, l: 2, y: 7, d: 1, u: 3, a: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -89840?\nAnswer: -89831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j**3*q**4 - 782*j**3 - j**2 + 35222*j*q**4 - 73 wrt q.\nAnswer: 20*j**3*q**3 + 140888*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, 38, 414, 984, 1772, 2802, 4098, 5684?\nAnswer: 7584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 7*n + 4*n - 26 = 0, 3*r + 5*n - 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -237 (b) 0.4 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -16. Which is smaller: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + 3*z + 10. Let c(o) = 4*o**3 - 2*o - 9. Let l(f) = 4*b(f) + 5*c(f). Let u(n) = -n**3 + 1. Give -l(k) - 3*u(k).\nAnswer: -k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -29 + 18 - (-20 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v - 2. Let u be s(5). Let n be 2 + u\/(-4) - -3. Let d(c) = -6*c - 74. Let g be d(-12). Sort g, -1\/12, n in decreasing order.\nAnswer: n, -1\/12, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 344 - 122. Let c be 2\/4 + x\/4. Let z be -3*(2 - (-13)\/(-3)). What is the highest common factor of c and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, p: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*s + 116*s - 187*s + 25 in the form a*s + y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 790*j + 365 - 225*j + 878*j - 227*j + 228*j. Is w(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 330*s**2 - 1385*s + 1050 = 0.\nAnswer: -70, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5184)*2*3*3)\/(sqrt(12) - -1*sqrt(108) - -6*(sqrt(36)\/sqrt(3) - sqrt(12))).\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhzs. Give prob of picking 1 s, 1 z, and 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76454 divided by -127?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -94, 13, 52.\nAnswer: -94, -7, 0, 13, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-65))\/((-4)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -254*p**4 + 252*p**4 - 10*p - 2*p + 20 + (0*p + 0*p + 2*p)*(-4*p**3 - 1 + 1) + 2*p + 3*p**4 - 2*p as z*p + x + l*p**3 + t*p**2 + c*p**4 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 205, 285, 407, 577?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 731883, 731879, 731871, 731859, 731843?\nAnswer: 731823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143472 + 223429. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*z + 45*z - 78*z + 43*z - 42*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 47 = 122. Let l = n - 4. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-56))\/(113\/(-11074)). Suppose 83 = 2*f + 417. Let q = -13 - f. Calculate the greatest common factor of q and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-10)*(-3)\/6 - 2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1140987567 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 9. Let d = 2 + 4. Let u be n(d). Find the second derivative of -2 + u*x**3 + 2 + 4*x - 3*x wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -1\/10, 0.1, 1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -13. Suppose -h + 135 = 5*m, 0 = -m + 5*h + 22 + q. Let g = 2 - -5. What is the remainder when m is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z + 38. Let s be l(-4). Suppose x - 13*o + 10*o - 4 = 0, -2*x = 4*o + s. Which is the nearest to x? (a) -2 (b) 1 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + j + 3832, 53*m - 4840 = 48*m - 5*j. What is the highest common divisor of m and 768?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 984*b - 5841. Give w(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4595682 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 3*s = 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -54.11. Let g = -53.7 + v. What is the third smallest value in g, 5, 1\/4, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1305 and 4145405.\nAnswer: 37308645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}