diff --git "a/data/dm_maths/full_data_2/2106_11255.jsonl" "b/data/dm_maths/full_data_2/2106_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2106_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c = 1235.917496441 + 6.082436659. Let v = 1242 - c. What is v rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -451, -60, 4, -4, -15.\nAnswer: -451, -60, -15, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 3, a: 4, w: 2}. Give prob of sequence kb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 19*c**2 + 30*c - 111. Let p be n(19). Let q be ((-44)\/3)\/((-34)\/p). Sort q, -4, -5 in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydpdgpgrgp. Give prob of sequence gydd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + t - 5*d - 24, 5*d = t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 - 132*j**2 + 3456*j - 9216.\nAnswer: 4*(j - 48)**2*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -277*o**5\/5 + 259*o - 287. Find the first derivative of v(h) wrt h.\nAnswer: -1108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-18)\/(-24)). Let h be ((-5)\/l)\/((-2)\/(-4)). Put -3, h, -2 in decreasing order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 125.3, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396433.\nAnswer: 109, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21180*r - 211780. Calculate o(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -45, -97, -185, -321, -517, -785, -1137?\n\"Answer: -2*f**3 - 14*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32487, 64509, 96531, 128553, 160575?\nAnswer: 192597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (343 + 6*w - 4*w - 342)*(-44 + 133 - 9) in the form k*w + o and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1570*y - 8 = 1572*y. What is the fourth biggest value in 3\/8, -1, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -2 + 1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1754.9171 + -1755. Let x = y - -1.5699. Let t = x + -1.37. Round t to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.24 - 19. Let w = c + -0.239904. Round w to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -52 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*1779841.\nAnswer: -124588.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0 + 3 - 3*b - 2 - 2 - 2*b**2. Let q be d(-1). Suppose s + 3*s - 8 = q. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**(-40\/9)*(r**(2\/7)\/r*r*r)**(-32) assuming r is positive.\nAnswer: r**(-3152\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:57 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 9, s: 1, g: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*h - 30 = -2*m, -3*m = -2*h - 40. Suppose 2*u - 3804 + 3768 = 0. Calculate the remainder when u is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1101*r**2*z**3 + 7*r**2*z**2 - 31018*r**2*z - z**3 wrt z?\nAnswer: -6606*r**2*z + 14*r**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + -150. Let x = -155 - g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 + 3*c**2 + 8*c + 12. Let i be k(-2). Suppose 0 = -16*m + 14*m + 22. Calculate the highest common divisor of m and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2. Let k = 48 - 46. Let v(o) = 0*o**2 + 8*o**k - 4*o**2. Determine v(a(s)).\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 2*n**2 + 0 + 1\/2*n**3 + 0*n + 1\/24*n**4 + 1\/30*n**5. Is g(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -52. Suppose 2*v - 8 = -s. What is the units digit of (-3)\/(v\/(-76) - -2 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35126 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 4*((-4*(sqrt(77) - sqrt(77)*3) + sqrt(77))\/sqrt(11) + (sqrt(98)\/sqrt(2) - sqrt(49))\/sqrt(7) + 2)).\nAnswer: 30 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + n - 12. What is the derivative of 1 - 3 - 5*x**2 + n wrt x?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30415 and 11060.\nAnswer: 121660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h + 467*h + 398*h.\nAnswer: 917*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6568\/3 + -2188. Which is the nearest to -10\/9? (a) 3 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43479874?\nAnswer: 2, 29, 749653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*d**4 - d**3 - 147*d**2 wrt d.\nAnswer: 1152*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2340611 divided by -5\nAnswer: 2340611\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30084 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001 (base 2) in base 3?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 1\/40*a**4 + 0*a + 1\/75*a**5 - 6*a**2 + 0 - 1\/30*a**3. Find g such that u(g) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118294570 divided by 3?\nAnswer: -118294570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - -16. Let m = 68 - r. Suppose 20987 = m*v - 2*x, 3*v + v - 16787 = -x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 2*m + 36422. Let a(h) = 76*h. Calculate g(a(l)).\nAnswer: 11552*l**2 - 152*l + 36422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*h + 15, h - o - 9 = 2*o. Suppose h = -5*z + 2*z - 9. Let k be z\/((-3)\/6*1). Solve 0 = k*u - 2*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3581 is divided by 1645?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166714812*b**5 + 213053390*b**2.\nAnswer: 10002888720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4883*c - 9770. What is u(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -0.03.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/13332621?\nAnswer: -13\/13332621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1904 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20000110001 (base 3) in base 9?\nAnswer: -200401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14329256268 - -0.1?\nAnswer: -14329256267.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 50*z = 44 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 775 and -103.9?\nAnswer: -80522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7808 (base 9) to base 7\nAnswer: -22535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3\/3 + 71*q**2\/2 - 792*q + 288. Differentiate z(x) wrt x.\nAnswer: 2*x + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5, -19.54, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -15, -1, 27, -4, 407 in increasing order.\nAnswer: -15, -4, -2, -1, 2, 27, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/4 + 11*p**4\/2 - 18*p**3 + 37*p**2\/2 - 25*p\/4 = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41c9cc (base 14) to base 12.\nAnswer: 8b3460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9 - 10\/3*k + 22\/3*k**2 - 34\/9*k**3.\nAnswer: -2*(k - 1)**2*(17*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280305 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(g**4 - 2*g**4 + 3*g**4) + g**4 + 4*g**4 - 4*g**4 - 5*g + 15*g - 11*g + 53*g**4.\nAnswer: 58*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 996*g + 1. Let h(n) = -200*n. What is 11*h(q) + 2*w(q)?\nAnswer: -208*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 639 = -w, -2*k - w + 2553 = 2*k. Calculate the remainder when k is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321 - -112032123?\nAnswer: 112033110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136650 - 71989. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(468)) + sqrt(468)*-1*6)**2 - (4 + (1 + 1 + sqrt(468))**2).\nAnswer: 168*sqrt(13) + 29480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - l + 41 = -6, 0 = -4*s + 3*l - 42. Let o = -6 - s. Let h(d) = -3*d**2 - 33. Let n(v) = -8*v**2 - 91. Let u(j) = 11*h(j) - 4*n(j). Calculate u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 2. What is the smallest common multiple of (10\/8)\/(-7 + (-339)\/(-48)) and c(-7)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 4. Let d be b(6). Suppose -4*f + 48 = 32. Does 15 divide d\/f + (-154)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 195 - 47 + 49 = -0*a + a, 0 = -6*h + a + 283 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 5, y: 1, v: 3, q: 4, x: 1}. What is prob of sequence ox?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 18027752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 11082 (c) 3104 (d) -3\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.85 + -16. Let d = -0.15 - a. Suppose 2 + 2 = -4*g. Is d greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-7)*k**12)**7*((k\/(k\/k**(-1\/3)))**18)**(5\/3) assuming k is positive.\nAnswer: k**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:28 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + 0*i)*(i + 3*i - 5*i)*(-19 + 4 - 17)*(-i + 13*i + 10*i)*(0 + 0 - 1).\nAnswer: -704*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*(-10 - 2). Solve -g - z = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-7 - 2 + 3)*(-3 + 3 - 1 + (-1 - 4 + 2)*(2 + 0 + 0))*(y**2 + 5 - 5).\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-21)\/12) + -6. Let j be (-11)\/33 + g\/(-6). Let q = 77 + j. What is the remainder when q is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 269*l + 35154 = 29*l + 88*l for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338806 is divided by 1412?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.56 + -0.86. Let b = 23 + -17. Suppose 0 = 10*i - b*i. What is the second smallest value in o, 11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*v + 0*v**2 - 6 + v**3 + 222*v - 2*v**2 - 2*v**3 - 2*v**2 to the form b*v + s*v**3 + g + l*v**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 8 = 0. Let f(z) = 6*z**3 - 5*z**2 - 2*z + 9. Let v(c) = -c**3 + c. Let d(x) = t*f(x) + 10*v(x). Factor d(h).\nAnswer: 2*(h - 3)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5942*k**2 - 141*k - 251. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 61. Let q be 0 + 4 - (0 - i). Let v = q - -26. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13293, -53140, -119551, -212526, -332065, -478168?\n\"Answer: -13282*q**2 - q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336340*q + 672676*q - 336334*q + 8.\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497 a factor of 61648404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 1.1. Let q = t - 1.5. Suppose 0 = 2*r + 6, -47*z + 46*z = -4*r - 14. Is q >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40791.15 less than -815137?\nAnswer: -774345.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 12. Suppose 3*q + 31 = b - 2*q, 0 = 2*b - 4*q - 32. Let c be y(b). Suppose 4 = 4*t - 3*t. Solve 4*f = 5*k + 12, 0 = t*f - k - c*k + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (18 + 3 - 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Let t = 4 - k. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + d = 14, -3*t + 0*t - 5*d = -26. Let y be 32\/((t\/625)\/1). What is y rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -116 in increasing order.\nAnswer: -116, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by ((-208)\/91)\/(4\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from jljll?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2594, 5168, 7744, 10322?\nAnswer: 12902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222210010022 (base 3) in base 11?\nAnswer: 330073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/3*m**4 + 8\/5*m + 2\/5*m**5 + 2\/3*m**2 - 2*m**3 = 0. Calculate m.\nAnswer: -4\/3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + -30 + 9 + 109 + -108)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*(-9)\/(-12). Let o = 571\/2 + -286. Which is the nearest to i? (a) o (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = -31*f, -f = 3*t - 115548. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2, -5*z + 21 + 182 = 3*y. Suppose -z*x - 53 = 27. Which is smaller: 12 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/135*12075\/118335\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)\/(k*k*k\/k**(40\/9)) assuming k is positive.\nAnswer: k**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1937*z**2 - 3*z + 5. Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7349838?\nAnswer: 2, 3, 1224973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 - 29*y**2 + 263*y - 715 = 0?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 47 - 50 + 3.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(7\/11)*y*y\/(y\/(y**(-2\/69)*y)) assuming y is positive.\nAnswer: y**(1979\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -0.4 (c) 281 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110 - -10011001000101000101?\nAnswer: 10011001000010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) 3\/4 (c) 0.2 (d) -0.22 (e) 2 (f) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995178302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 228, 452, 674, 894, 1112, 1328, 1542?\n\"Answer: -m**2 + 227*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*z = -6*z - 10, -3*z - 7 = k. Suppose k = g + 14. Let t be ((-3)\/34)\/(g\/(-16)). Which is the third smallest value? (a) 3 (b) t (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68375173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -4)*28\/(-210). Let o = -1.29 - -6.99. Let x = o - 6. Which is the second smallest value? (a) -0.2 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let u(r) = r**3 + 5*r**2 - 16*r - 10. Let m be u(-7). Let y(g) = g**2 + g + 8. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - 284?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 4*a**2 - 3*a**2)*(6 + 6 - 3)*(-2*a**2 - 3*a + 3*a).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320233 (base 5) in base 6?\nAnswer: -522103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 81*p - 22 + 37*p - 51*p - 6*p.\nAnswer: -101*p - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 83 (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31469 + -1006907\/32. Suppose k + 29 = -2*c, 0 = 4*c - 0*c + 4*k + 56. Calculate the common denominator of c and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:14 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092074311 rounded to 4 decimal places?\nAnswer: -0.0921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 11*i + 3. Let v be r(-11). Let g be 4*(-3)\/4*(-61)\/v. Suppose 0 = -8*u + 11 + g. What is the lowest common multiple of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:46 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/1677 + (-116768)\/(-2752).\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 = 4*d, 0 = 8*q - 9*q - d + 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*25\/(-40)*(-63)\/8190?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-4)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 - 1 = 3*t, -5*c + 1 = 4*t. Let f(o) = o + 7. What is the units digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.92 - -51.08. Let r = 52.05386 - 0.06126. Let h = r - c. What is h rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2, -105, -29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43542417727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/10 and 13\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 14\/28. Which is bigger: i or -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1800\/(-25))\/(-18)*2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 827 - 2459\/3. Let k = 104\/15 - t. Let r = -0.5383 + 0.3383. Sort k, r, 4, 5 in decreasing order.\nAnswer: 5, 4, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008301 minus 0.02494?\nAnswer: -0.016639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132339821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + -12) - (-14 - (-8 + 1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 6*k + 2*k)*(647*k**2 - 157*k - 316*k**2 - 332*k**2 + 1) - 4 + 4 + k**3 to l + o*k + s*k**2 + g*k**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(100) + (sqrt(100) - sqrt(100)*2))\/sqrt(10)*3)\/((sqrt(60)\/(-1*sqrt(3)))\/((sqrt(4) + sqrt(100))*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 1\/12*b**5 + 7\/24*b**4 + 1\/2*b**3 + 0*b + 1\/120*b**6 + 0 + 14*b**2. Determine v so that a(v) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26136.805 and 13?\nAnswer: -339778.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114504 (base 6) to base 3.\nAnswer: 111212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 23 = 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Let g(u) = -u + 3. Let a be g(q). Let p(l) be the first derivative of l**3 + l**2 + l + 28. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4033462643?\nAnswer: 7, 23, 71, 352853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 20*u - 11. Let b(i) = 7*i - 4. Determine -17*b(v) + 6*c(v).\nAnswer: 6*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*o = 1 + 11, -3*o = 0. Solve 3 = -p*n + 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((3910\/92 - 42)*76\/(-6))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2124*x + 353*x**2 + 110*x**3 - 497*x**3 - 829*x**2 - 240 - 128*x**2 - 24*x**4 - 1076*x**2 = 0. Calculate x.\nAnswer: -10, -4, -2, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 9}. What is prob of picking 2 h and 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5508 = -134*j + 388, -2*q = -4*j + 176 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s - 89. Give n(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23141, -46274, -69415, -92576, -115769, -139006, -162299?\n\"Answer: -2*k**3 + 8*k**2 - 23143*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 18 = 3*t - 2*t, -t = 5*h - 22. Does 50 divide ((0 - 9\/3) + t)*-521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.3 + 63. What is the smallest value in -5\/4, -2, -1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*o**2 - 3*o**2 - 28*o**2 + (4*o + 0*o - 3*o)*(4 - 4 - 2*o))*(-4449 + 4449 - 112*o) as k*o**3 + c + s*o**2 + r*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1784.3 to the nearest ten.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.02 (b) -1\/4 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*i - 46, w - 2*i + 32 = -w. Let m = -10 - w. Let k = 0.53 - 0.03. What is the third smallest value in k, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 38, 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 2*q**2 + 3*q**2 - 3*q**2. Let y(t) = -7*t. Give y(g(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -409 + 5*j + 409 + 4*j**2. Let t be -3*(20\/(-3))\/(-5). Let u(q) = 2*q**2 + 2*q. What is t*x(f) + 9*u(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3002, 12012, 27030, 48056, 75090?\nAnswer: 108132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0206 - 19562\nAnswer: -19561.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 3 (c) -756 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 819 - 864 = 0. Let b = -263 - f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145916 = 2467*i + 45*i + 47948 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9*18130\nAnswer: -163170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 4807 = -13*w. Let c = w + -442. Suppose -2*y + y = 3. Put c, y, 4 in ascending order.\nAnswer: c, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r - 119*r - 11*r to b*r + n and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - (134 + -31) - -53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -74*z - 6*z**2 - 1\/3*z**3 + 0. Give x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -38672 (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*2*4\/(-80)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3, i - 9 = -i + s. Let z(v) = -i + v - 2 + 5. Let t(h) = 20*h**2. Give z(t(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 5. Let v be j(2). What is the tens digit of 44 - 1*9\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3724 and 2117507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40592 and 5676?\nAnswer: 1339536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 12*h + 16. Let f be r(-7). Let q = -28 + f. Calculate the greatest common factor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.437.\nAnswer: -3.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/6 <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3073, 3069, 3067, 3073, 3093, 3133?\n\"Answer: t**3 - 5*t**2 + 4*t + 3073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 42 = -7*n + 2*n, 0 = -5*c + 5*n + 240. Let f = c - 45. Let t be ((0 - -6)\/f)\/(-1) - -5500003. What is t rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (20 + (-34 - 12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoy when three letters picked without replacement from {i: 2, y: 2, b: 3, o: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 25*t - 27*t + 3*y, -3 = -5*t - y. Let p(q) = q + 9. Let w be p(-7). Suppose w*g + 7*g - 18 = t. Solve g*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 122*r**2 + 3. Let f(p) = -2*p**3 - 121*p**2 + 3. Calculate -4*f(j) + 5*n(j).\nAnswer: -2*j**3 - 126*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let k(s) be the first derivative of 3*s**2 + 7. What is k(n(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 5:53 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 211102 (base 3) to base 10\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13125\/175*(-1)\/6*-10. What is the greatest common divisor of d and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.1, 193\/30 in descending order.\nAnswer: 193\/30, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/38, 432, 2\/13, 4, 0?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/12 + n**3\/6 + 5*n**2\/2 + 8*n. Let f be y(0). Let q be (-1)\/(-2*(-2)\/(-20)). Solve f*d = -5 - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-14 - (8 - 19)) + -6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35\/(-7)*(8 - 9). Sort 4, 16, v, 2.\nAnswer: 2, 4, v, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 96734003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -134919200 rounded to the nearest one million?\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7167915 decades?\nAnswer: 7.167915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -12 (b) 5 (c) 4 (d) -10.4 (e) -39\/2 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23923 - 23920.8. What is the closest to 0 in 3, 5\/2, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2402104, -2402316, -2402528?\n\"Answer: -212*g - 2401892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 16*h - 63*h + 32*h**2 - 86*h - 16. Let c(p) = -31*p**2 + 133*p + 12. Let a(l) = -4*c(l) - 3*u(l). What is the second derivative of a(w) wrt w?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -64*f**2. Let r(x) = x + 1. Let n(i) = 6*i + 5. Let y(t) = n(t) - 5*r(t). Determine a(y(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(32\/18 - 2). Suppose -m + 0*m + g = -d, 5*m + 4*g = 0. Solve -m*j - 10 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x + 60*x = 4*h + 31, 4*x + 4*h = -28. Let d = 341\/9 + -113\/3. Which is the closest to -6? (a) -1\/2 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*r + 113. Suppose -a + 5*a - 48 = 0. Calculate the remainder when r is divided by (128\/a)\/4*6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186*l + 216*l**5 + 186*l)*(17 + 5 + 4 + 7 - 13).\nAnswer: 4320*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2137382 rounded to three dps?\nAnswer: -0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*g - 437880 = 300*g. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*x - 359 = -5*f, 4*f + 5*x = 280. What is the greatest common factor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n + 16. Let d be o(-1). Let l be 32 + (-4)\/(-12)*d - 2. Calculate the greatest common factor of l and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1721*s + 15. Give y(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1240, -1115, -850, -391, 316, 1325, 2690?\n\"Answer: 9*s**3 + 16*s**2 + 14*s - 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 17*y + 157 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572232?\nAnswer: 2, 3, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1206571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**3 - 4*r**2 - r. Let q(n) = 4*n**3 + 9*n**3 - n - 6*n**2 - n**2. Let g(c) = 7*h(c) - 4*q(c). Find the second derivative of g(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 + -2 - (1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 63165 (c) -1\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 2*s + 4. Let h be a(4). Suppose h = 2*q - 5*q. List the prime factors of (6*1)\/(q + 5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2966)\/3*(5 + -8 - 0).\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {b: 3, y: 2, i: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/11)\/((-94)\/(-517)). Solve 0 = -25*o + 26*o + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.18 (b) -2 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7680.5 - -7676.5. Let a = -10\/3 + 3. What is the closest to r in a, -4\/9, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171\/(-6)*4\/(-6) is divided by 9 + (0 + 2)*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -2*(sqrt(125) + sqrt(125) + sqrt(125)*1) + ((sqrt(125)*-1)**2*-1 - sqrt(125)))*5*-5.\nAnswer: 750*sqrt(5) + 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50, 844, -2\/3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 3\/4 (c) 2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213 - 212.7. Which is the second biggest value? (a) u (b) 2\/5 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 5*u**4 - 2*u**4 + (2*u**4 + 0*u**3 + 0*u**3)*(-4 + 3 - 1) - 129*u**3 + 36*u**4 + 129*u**3 + (u + 1 - 1)*(0*u**2 + u**3 + 0*u**2).\nAnswer: 39*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*327955415.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-1)\/8 + 1\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -234745379*2\nAnswer: -469490758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let h(b) = -29*b**2 - 5*b + 5. Let d(z) = -276*z**2 - 48*z + 48. Let y(g) = -5*d(g) + 48*h(g). Calculate i(y(v)).\nAnswer: 144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -85*v + 42. What is d(1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*l - 2*l - 10*l + 20*l = 23 + 10, 5*l - 40 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from fkfnnckck?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 96138839*f + 96138839*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) -16 (d) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4887 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + f - 2)*(-4*f + 4*f - f) - 4*f - 2*f**2 + 4*f + 2*f**2 - 4*f**2 + 0*f**2)*(3*f**2 - f**2 + 11*f**2).\nAnswer: -65*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152.121 - 5.\nAnswer: -157.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 918175423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - n - 712 = -728, 0 = 3*u - 5*n + 66. Let y be (-1)\/2 - (-15)\/(-6). Which is the third smallest value? (a) u (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1\/11, 3, 2209.\nAnswer: -1\/11, 3, 13, 2209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 256*h - 2. Let w be p(1). Let x = w - 251. Solve 4*r + x = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274678 is divided by 403.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -2\/3 (c) 0.2 (d) 1.55 (e) 5\/4 (f) -1\/4 (g) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/8)\/l**(-10))**(-31) assuming l is positive.\nAnswer: l**(-2511\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3)\/((x*x**6)\/x)*(((x\/(x*x**6*x))\/x)\/x)\/(x*x**8)*(x**(-1\/7)*x*x*x**(5\/7))**20 assuming x is positive.\nAnswer: x**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = 0. Let l = 335 - 338. Sort l, b, -2, -5 in descending order.\nAnswer: b, -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/25, 1\/11, 1\/2, -0.5 in decreasing order.\nAnswer: 3, 1\/2, 1\/11, 2\/25, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 0.05\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/(-6))*1\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*h = -4*h + 15, 4*h = 3*c - 41. Suppose -12*i + 420 = -c*i. Calculate the least common multiple of 24 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3602935803 rounded to the nearest one hundred thousand?\nAnswer: -3602900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133103706373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcbbcdccbbcccwwbcc. Give prob of picking 4 b.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05789266743 to three decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/2)*i**(-11))\/(i**(1\/5)\/i*i\/(i**6*i)) assuming i is positive.\nAnswer: i**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let t = -944\/5967 - -2\/459. What is the third biggest value in t, n, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(553\/(-168)) + 5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 2*w - w)*(257 - 163 - 140) + (-1 + 1 - w)*(-6 + 2 + 2) + (3*w - 3 + 3)*(-1 + 1 - 1) to a + u*w and give u.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -13. Suppose -293 = 4*h - 9*h - 3*q, 0 = -w*h + 4*q + 228. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**3 + 4*b**3 - b**3)*(24 + 26 + 10) - b**2 - 30*b + b**2 - 39*b + 97*b - 5*b**3 to v + k*b**2 + d*b + w*b**3 and give w.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by ((-3)\/9)\/(2\/(-132))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*q**3 + 953*c + 6*q**3 - 9*q with respect to q.\nAnswer: -3*c*q**2 + 18*q**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 81*g**5\/5 - 13*g**3\/3 + 7*g**2 + 41*g - 188. Find the second derivative of n(s) wrt s.\nAnswer: 972*s**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4705.3656 milliseconds?\nAnswer: 0.001307046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015349152 to seven decimal places.\nAnswer: -0.0001535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 755, 1685, 2999, 4697?\nAnswer: 6779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18117898?\nAnswer: 2, 241, 37589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x)**(1\/3)\/((x\/(x*x*x*x\/x**(-8)))\/(x*x*x*x**(-2)*x)) assuming x is positive.\nAnswer: x**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*s + 43, 868 = -q - 3*s + 922 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 plus -4322?\nAnswer: -4331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 12*h - 33. Let a be i(-5). Factor 14\/5*q**a - 32\/5*q + 8\/5.\nAnswer: 2*(q - 2)*(7*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3*(-6)\/(-15)*-5. Let z(t) = -t**2 + t + 1. Let m(u) = 3*u**2 - u - 2. Calculate v*z(l) + 3*m(l).\nAnswer: 3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.98 + 18.15. What is the closest to 2 in m, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 1 e when three letters picked without replacement from {e: 4, x: 7, c: 7}.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/9 (c) 3 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 8*m**2 - 12*m = 0 for m.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1168 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 56. Let d be c(-6). Solve -5*k - d + 43 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-12))\/(30\/45 - -1). What is the smallest value in a, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117 is divided by 142.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -6 (b) 3 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101000101010100011 (base 2) to base 15.\nAnswer: -34d609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 11 = 4*h, 0 = -3*s - 3*h + 12. Which is the nearest to -2? (a) 4 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2)\/(-2)*-1. Let o be (8\/(-6))\/((-2)\/6). Find the second derivative of m*u + u**4 - u**o - u**4 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306727.16 - -241?\nAnswer: -306486.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i**(-2\/23)\/i)))\/i)\/i*i**6\/i*i)\/(i**(-8)*i**(2\/7)\/i))\/((i\/(i\/i**1))**(3\/5)\/(i**0)**(8\/9)) assuming i is positive.\nAnswer: i**(8877\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-840)\/(-144)))\/((-3)\/(6\/6*-2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -136582176 - -13165\nAnswer: -136569011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 - -2.29999804. Round s to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 5677?\nAnswer: 45416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 34. Solve 4*i = 2*i - k*h - 10, 0 = 5*i - 3*h - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010 (base 2) in base 11?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 1. Let s(b) = 6*b - 3. Determine 5*r(w) + s(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 70*x + 4. Suppose 0 = -4*j + 2*a - 22, -13 = j - 2*a - a. Let h be n(j). Let z = h + 419. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -155, -152, -147?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((sqrt(2299) - (sqrt(2299) + 2 - sqrt(2299))*1)**2 + -5).\nAnswer: -18384 + 352*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389587 - 45806*f**3 + 389587.\nAnswer: -45806*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(45))**2 + 5 + (3*sqrt(320))**2*4.\nAnswer: 11930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/7 - 33862*v**2\/7 + 96136960*v\/7 - 65614815200\/7.\nAnswer: -(v - 1340)**2*(v + 36542)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1\/3, -153, 2, 5 in decreasing order.\nAnswer: 20, 5, 2, -1\/3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 - ((-2 - -23) + -12)) + -9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 25\/34*n**4 - 10\/17*n**3 - 24\/17*n**2 + 32\/17*n - 15. Determine f so that z(f) = 0.\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (1 + 6 - (-6 + (17 - (8 - -1)))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*w + 53 = 0, -n - 5*w + 0*w = -51. Suppose -h - n = h. Let j = -16 - h. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 168332.\nAnswer: -168335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4285 is divided by 330?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 47*o + 204. Let y be i(19). Solve 9*n - 14*n - y = 2*w, -3*w = -4*n - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1035870433 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -67 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1405100204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908 is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t - 87 = 0. Suppose -t - 24 = -y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39994 + 63082. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b77 + 5?\nAnswer: -3b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-7*l + l + 3*l + (-13 + 0 + 0)*(-5*l + 3*l + 0*l)).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s - 139. What is the hundreds digit of l(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.2948431\nAnswer: 0.14742155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 11. What is f(-9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 5*o + 4. Let k be w(-5). Let p be (-7*113)\/(4\/((-24)\/6)). Suppose 522 = 2*c + k*s, 4*c - c + 2*s - p = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3132 and 64\/18453159?\nAnswer: 6421699332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23035706 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111.78 + -12.18. Let a = 99.60001342 - i. Round a to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1894060644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 108 = -3*a, 3*t + 5*a - 4*a + 94 = 0. Is t\/(-12)*(-652)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let u(o) = o + 2. Let t be (1 + -4)\/((-3)\/(-2)). Let j(c) = 3*c + 9. Let h(s) = t*j(s) + 9*u(s). What is b(h(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22) - ((-4)\/1584)\/(22\/1276)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 107770 * 0.38\nAnswer: 40952.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559609 less than 31146?\nAnswer: -2528463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 4574094?\nAnswer: 50315034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3934849, -5, -8 in ascending order.\nAnswer: -8, -5, 0, 3934849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3685 and 2596385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t. Let g(q) = -39*q**2. Calculate k(g(m)).\nAnswer: 195*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 105. What are the prime factors of v(0)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646812 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11928632 minus 557?\nAnswer: -11929189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22066 and 10.\nAnswer: 110330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -589 + 589. Put -6, 4, g, 19 in descending order.\nAnswer: 19, 4, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5148.942 centuries?\nAnswer: 514894.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*t - 0*t + 12, -3*t = -4*w + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 8 = -94. Find the second derivative of 79*s - 2394*s**3 - 3 + 3 + 2569*s**w wrt s.\nAnswer: 1050*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -12. Suppose 0 = n*o + 81 + 27. Let w = o + 53. What is the highest common factor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/836 + (1577\/(-209) + 0 - -7)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*v - 19 = 0, 3*l + v + 87 - 95 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in -14\/3, 5, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f + 103 = 4*d, -3*d + 12 + 9 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 0 = 5*w. Let t(i) = -15 + 30 + 4 - 355*i. Is t(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -1. Let q(r) = -r**2 - 9*r - 12. Let b be q(-7). Suppose -b*k = -3*k. Solve 4*y - f - 15 = k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3060288*r**2 - 3864*r - 1932. Let t(y) = 17421*y**2 + 22*y + 11. Calculate 11*o(p) + 1932*t(p).\nAnswer: -5796*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/361?\nAnswer: -1\/361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2890 - -2789. Sort i, -4, -1 in descending order.\nAnswer: -1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**5 - 19708*a**4 - 217272*a**3 = 0?\nAnswer: -11, 0, 4938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236\/4909 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4752 - 4747. Solve h*x + 12*s - 11*s = 0, -4*s - 16 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-28 - (-46 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a + 7 = r, -4*a + 11 = 3*r. Let h be (2\/5)\/((-3)\/(-15)). Solve -c - 4*c + 27 = h*q, -15 = r*q - 4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 695500000*c**2 - 3*c - 3. Let f be d(-1). Suppose 2*v + f = -11*v. Round v to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3956, -4060, -4186, -4346, -4552, -4816, -5150?\n\"Answer: -2*l**3 + l**2 - 93*l - 3862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w + 16. Let v(h) = -h**2 - 6*h - 1. Let o be v(w). Let l(t) = -t**2 + 8*t - 2. Let c be l(o). Is 5 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7078884 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5 + 15. Let x(q) = q + 4. Let h be x(-3). Which is the biggest value? (a) j (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9.7. Let u be ((-957)\/(-2552))\/((-27)\/(-16)). Which is the nearest to 2? (a) u (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 3*x - 6*x**3 - 14*x**3 + 29*x**3 + 4*x.\nAnswer: x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9454 + -6093. Suppose 4*h - k = 1675. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -2*r - 19*a + 10, -4*a + 16 = 0. Sort -3, r, 5, -2.\nAnswer: -3, -2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r + 5*s = 246, 0 = -3*s + 9. What are the prime factors of r?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 13, 37, 63?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 - -4. Let m be (-10)\/(-55)*2\/(-4). What is the nearest to r in 0.3, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.66449124857 and 172.\nAnswer: 179.66449124857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29316260, 29316262, 29316264?\n\"Answer: 2*i + 29316258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -0.0973.\nAnswer: -0.0973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/25)\/p)\/(p*p*p\/(p*p*p**2*p*p)))\/((p*p**2)\/(p\/(((p**(3\/2)*p)\/p)\/p))) assuming p is positive.\nAnswer: p**(-29\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 3:53 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 + 96. Solve 0 = -p - 1 - 2, -k - 3*p - 14 = o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 12:59 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 48. Let h be i(-6). What is the greatest common factor of 102 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p + 24*p - 1183 = 0. Solve 7 = -p*z - 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/216568 and -63\/4981064.\nAnswer: 4981064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3196.965 - 3197. What is the smallest value in q, 4, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*13\/15*3. Let r be (2 - 6) + k\/4. What is the third smallest value in -1\/4, 0.04, r?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.205619 to one decimal place.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-2*(-36)\/16*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 31*x + 42 = 8*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**6\/21 + 12*h**5\/35 - h**4 + 32*h**3\/21 - 9*h**2\/7 + 4*h\/7 - 1. Find y such that z(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2, 4*s + 0*s - 23 = 3*n. Let v(a) = 4*a - 2 + a + 13*a**2 + 2*a - 12*a**2. Give v(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16852 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -68. Let n = 59 - g. Suppose 0 = 4*a + n - 51. What is the remainder when 12 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074219*v + 1 + 3222660*v - 1074223*v - 1074221*v + 3 - 4.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/233 (c) 3\/2 (d) -1\/7 (e) 2 (f) -3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(64)\/(sqrt(6)\/sqrt(3) + sqrt(2)))\/sqrt(2))\/(((sqrt(32) + sqrt(96)\/sqrt(3))*-6)\/(1*sqrt(12)\/sqrt(3))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 w, and 1 c when four letters picked without replacement from wgwwggcgaggggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 182 = -2*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 10*v + 20034. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 248114227.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15692, 15674, 15656, 15638?\n\"Answer: -18*t + 15710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4 + o**3 - 12146*o - 9094?\nAnswer: 4*o**3 + 3*o**2 - 12146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, 182, -3\/8, 3.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from {g: 1, u: 2, d: 4, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/7 - 247504*r**2\/7 + 3816482868*r\/7 + 53770873464.\nAnswer: 4*(r - 30987)**2*(r + 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-74))\/((-4182)\/(-5576)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*i - 9, 0*b - 4*b - 2*i = -14. Let s be (-2)\/2 - (0 - b). Suppose o + o = s. Solve o = -3*p - 4*q + 2, q + 6 = 2*p - q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.57 - -28.59. Which is the fourth biggest value? (a) p (b) -4 (c) -0.3 (d) -15 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19 - b**2 + 19 - b**2 - 2*b**3 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:13 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -47. Let g(r) = 2*r**2 + r + 2. Let l be g(t). Solve -3*w - l - 12 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99.2 - 98.7. Which is the closest to 0? (a) -4 (b) f (c) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 978, -2, 3, -1, -2677, 1 in descending order.\nAnswer: 978, 3, 1, -1, -2, -2677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + (sqrt(68) - sqrt(68)*2) + sqrt(68))\/sqrt(4) - sqrt(17))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**2. Let v(c) be the third derivative of -12*c**2 + 0*c**3 + 0 + 0*c - 1\/12*c**4. Give g(v(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1820 - -1800. Let h(y) = y**2 + 19*y - 18. Calculate h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 + 41241*n - 20616*n - 119 - 20609*n.\nAnswer: 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1008 divided by -9\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/16)\/v)\/v)**(3\/23)\/(v*v\/((v**(-3\/11)\/v)\/v)*v*v**(2\/9)))**(1\/11) assuming v is positive.\nAnswer: v**(-209993\/400752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 4*b - 26*b.\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 9*g\/4 + 7\/2.\nAnswer: (g + 2)*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 19}. Give prob of picking 2 r.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 379434?\nAnswer: 1897170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 23.65. Let u = g + -2.75. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54991 and 1524?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.6 + -5.8. Let x = -73 - -67. What is the nearest to x in 0.2, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977738391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 233, -5, -11, 22, 6, 0 in decreasing order.\nAnswer: 233, 22, 6, 0, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*2)\/(sqrt(9) + sqrt(18)\/(1*sqrt(2))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -4 + -6 - (-176)\/(-26)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let r = -23 + 30. Let w be s(r). Let z(x) = -x - w*x**3 + 1 + 7*x**3 + 10*x**3. Calculate z(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -35, -6, -0.1 in ascending order.\nAnswer: -35, -6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**5\/30 + v**3\/3 + 2*v**2\/3 - 2*v + 3. Let a(h) be the first derivative of m(h). Let a(l) = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.44 - 0.04. Let b be (-4)\/(-12) - 181\/(-105). Let q = 13\/7 - b. Put 2, a, q in decreasing order.\nAnswer: 2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.59 + 31.49. Round r to 0 decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18279\/243 - 336\/1512?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -398*q**3 + 4*q**2 + 75*q + 13. Let u(y) = -795*y**3 + 7*y**2 + 151*y + 23. Let t(c) = -7*d(c) + 4*u(c). Find the second derivative of t(p) wrt p.\nAnswer: -2364*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -912, -3638, -8182, -14544, -22724, -32722?\n\"Answer: -909*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 20*z**2 + 22*z - 30. Let u be i(21). Sort 0, u, -5.\nAnswer: u, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -57\/264941?\nAnswer: -57\/264941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, -0.4 in descending order.\nAnswer: 0.4, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/69 - (-2)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 375, 274, -15, -492, -1157, -2010?\nAnswer: -3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Suppose -15*y + 96 = -9*y. Let i(a) = y*a**2 + 2101*a - 2101*a. Give i(v(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41770*r**2 - 47876*r**2 + 139115*r**2 - 26580*r**2 to the form h + i*r**2 + j*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000014853085 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*h - 6 = 0, -50 = 5*y - 0*y + 2*h. Let c = y - -12. Let a be 1 + 0 + (0 - 1). Solve -2*r + c + 6 = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 11\/7)\/1. Let o = -2248.93 - -2060. Let p = o - -189. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007675 to six decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6449\/3? (a) -0.3 (b) 3 (c) -3\/7 (d) -0.5 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (7 + -16 + -1 + 19).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 3 - 0\/(-5). Let v be 7\/u - (-12)\/(-8). What is q in -v*q**2 - 1\/4*q + 1\/2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**2 - 9*r - 9. Let w be (-18)\/8 + (-9)\/(-36). Let x(h) = h**2 + h + 1. Let q be 1 + (-4 - (-3 + 18)). What is q*x(v) + w*d(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34393 and 984031.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0 + 1. Let x = -6 + w. Let y = 7 + x. Which is bigger: y or -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(16\/(-4)) + 2 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 73\/4*b**5 - 570*b**4 - 1\/6*b**6 + 0*b**2 - 36*b + 1080*b**3 + 0. Factor a(u).\nAnswer: -5*u*(u - 36)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -15866, 1 in descending order.\nAnswer: 6, 5, 1, -15866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*g + 13 + 13, 23 = p + 5*g. Let a(c) = c**3 - 6*c**2 + 4*c + 6. Let f be a(5). Sort 2, p, f in decreasing order.\nAnswer: p, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 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 ((k**(1\/4)\/k)**10\/(k**(-2\/7))**(-2\/37))**(-4) assuming k is positive.\nAnswer: k**(7786\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6377*m - 3. Let t(l) = -19142*l + 8. Calculate -8*d(f) - 3*t(f).\nAnswer: 6410*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5313 = 11599*a - 4821 - 1465 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 531\/(-72) - (-4 - (6 + 3 + -6)). What is the closest to g in -0.8, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 46*b = -112 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2\/33, -5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 301*a**3*f**3 - 277*a**3 + 2*f**2 wrt f?\nAnswer: 1806*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2173 - 1.\nAnswer: -1.2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 168 = 4*s. Let t(u) = u**2 + 24. Let h be t(-6). Let q = s + h. Calculate the greatest common divisor of 248 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -2032?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 12, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 4 - z**3 - 4*z**2 + 2*z**3 - z**2. Let l = 41 - 37. Give y(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/385*2\/(-6 - -4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 4*i - 5 + 5.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b - 83490 = 303*b + 464*b - 33*b for b.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 45*y - 18. Let p(t) = t - 1. Let u(g) = 36*p(g) - x(g). Let a be u(-8). Suppose 141 = 5*b - a. What is the remainder when b is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 25 - 5 = 0. Suppose 2*m + 0*m = -4*b - 12, 21 = -5*m - b. Let a = m - z. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*h + 1891, 4*n = 2*n + 3*h + 763. Let q = n - -667. Does 87 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 38, 2\/7, -1\/10, 3, 1\/4, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 + 1 = 0. Suppose -a*s = -0*s - 10. 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 next in 435, 785, 1121, 1443?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15929.\nAnswer: 17, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 12*h - 3*h + 24*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 516 or -3\/131?\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i + 7. Let h(u) be the third derivative of 11*u**4\/24 - 11*u**3\/6 + 4*u**2. Calculate -5*h(z) - 8*k(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20811183 to the power of 1\/2, to the nearest integer?\nAnswer: 4562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + 10 + -15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -85, -118, -149, -178, -205, -230?\n\"Answer: u**2 - 36*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.23 + 0.03. Let t(b) = 3*b**2 - 3*b + 3. Let u(i) = i**2 - i + 1. Let y(m) = t(m) - 2*u(m). Let n be y(1). Are n and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**3 - 2*o**2 - 1. Let j be p(-1). Suppose j*y - 4*w - 200 = -9*w, -w = 0. Is y >= 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -78. Put -1, w, 3\/7, 0.2 in decreasing order.\nAnswer: 3\/7, 0.2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - 1) + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*f - 7*i, 5*i + 13 = 22*f - 12*f - 8*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n**2 + 6*n + 21. What is k(-3)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 8. Let z be u(3). Suppose -4*m + 400 = -z*x, -m = 4*x + 339 + 2. Round x to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1331)*-1)*-5)**2.\nAnswer: -2750*sqrt(11) + 33900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -12, -73, -5, 0, -65 in descending order.\nAnswer: 14, 1, 0, -5, -12, -65, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 71. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17151, -68563, -154251, -274215, -428455, -616971?\nAnswer: -839763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.44 * 3.\nAnswer: 34.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -12. Let m be ((-18)\/9)\/((-5)\/((-10)\/y)). Find g such that 1\/2 - g**2 + 1\/4*g - m*g**3 + 1\/4*g**5 + 1\/2*g**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 2. Let h(z) = 4*z + 5. Let v(c) = 2*h(c) - 5*j(c). Let r(d) = 13*d**2. What is r(v(i))?\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*3*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 123, 200, 287, 384?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaia.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1587 - 68.0413. Put -1\/11, m, -5 in decreasing order.\nAnswer: -1\/11, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6150502 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h**2 + h + 4. Suppose -168 = -250*d + 332. Calculate k(d).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9151.1 and 134744.\nAnswer: 143895.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 2*r + 3*s, -2*r + 81 + 147 = 2*s. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11166732.\nAnswer: 2, 3, 310187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*l = 20, 2*l + 44 = 3*y + 4. What is the smallest common multiple of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from lllwvflwvlffwfqllqfl.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/8 and -97\/8998908.\nAnswer: 17997816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23084, -46155, -69226, -92297, -115368, -138439?\nAnswer: -161510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2551954 < -2551953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -22*c + 15*c. Let h = -1 + c. Solve 3*b - h = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18430549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 97 and -0.0935513383259.\nAnswer: 96.9064486616741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(112))*4 + -4.\nAnswer: -12*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04241 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 11. Let a(f) = -f - 1. Let k(w) = 3*a(w) + u(w). Let r be k(2). Let s be 2 + -2 + (r - -5). Let v(b) = -9*b**2 + b - 1. Give v(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-71266 + 4)\/(-18) + -12 is divided by 152?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 105 - 17*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340599949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -15. Suppose -4*g = -23 - m. Suppose -3*i + g = i. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)\/c)\/c*c)**(-16)\/((c**(-2)\/c)\/c)**49 assuming c is positive.\nAnswer: c**(1028\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 0.34.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.38 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 3. Let y = 2 + -4. Let f be ((-14)\/s)\/(-1) + y. What is the nearest to f in -4, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a - 0*a - 4*v, -a - 2 = v. Differentiate 0*j + 3852 + 0*j - a*j**4 - 3829 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/(-45))\/1 + 560\/9?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 261607650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75, -734, -2523, -6006, -11747?\n\"Answer: -94*x**3 - x**2 + 2*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {u: 1, k: 1, j: 1, n: 1, x: 2, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/x**1))\/x*x*x*x)**(-2\/11)*(x**(-1\/4))**37)\/((x\/(x\/(x\/(x*(x*x**(-3)*x)\/x))))\/(x**(2\/21)*x*x))**(-2\/67) assuming x is positive.\nAnswer: x**(-617849\/61908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2. Let f(w) be the second derivative of 11*w**4\/12 + 27*w. Determine f(t(s)).\nAnswer: 176*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-4.56.\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - 3*d + 2. Let i be c(-4). Let b = i - -4. Suppose -4*o + 3*w = 6*w - 19, 2*o - 6 = b*w. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066714757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 16. Let u = y + 7. Let g = -206 - -201. Which is the third biggest value? (a) g (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d + 11*d + 12*d as y + v*d and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:31 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 2 - 3 + 4)*(-17*s + 17*s + 2*s**2) to c + f*s**3 + i*s**2 + u*s and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2773 to two dps.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/478740 and -137\/22120.\nAnswer: 6702360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w + 16*w - 4*w - 7*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(3\/4). Suppose g*u - 8 = -0*u + d, 26 = 5*u - 4*d. Determine c so that 0*c**2 - 4*c**2 - 2*c**5 - 2*c - u*c**3 + 2 + 2*c**4 + 6*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-209339)\/(-420) + (0 - 3). Let m = -1979\/4 + x. Let d = m - 10\/21. Which is the closest to -1? (a) d (b) 0.3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let k = d - -0.1. Is 1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 287.8.\nAnswer: -86.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 + -301. What is the closest to -1 in -3.8, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118*39\/6136)\/(((-10)\/(-4))\/1).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 638051824.\nAnswer: 638051824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 3*j = -5*s + 16, -4*s - 24 = 4*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*(-1 + (-66)\/(-54)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320)*-2 + 5)**2 + -6*(-1 + sqrt(320) + sqrt(320)) - (sqrt(900) + sqrt(900) + 2*sqrt(900))\/(sqrt(30)\/sqrt(54)).\nAnswer: -248*sqrt(5) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwoowwwoooowoowoow. What is prob of picking 1 o and 3 w?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 - 10*q + 6. Let v(d) = 2*d**3 - 10*d**2 - 15*d + 26. Let n be v(6). Let r(f) = 9*f**2 - f + 0*f**2 - 8*f**2 + 1. What is n*r(p) - t(p)?\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 2*r**3\/3 - 43*r**2\/2 - 11*r. Let t be x(11). What is the tens digit of ((-6)\/24)\/(t\/(-68)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:36 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, s: 1, v: 2, z: 3, w: 1}. What is prob of picking 2 k and 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let u be 6\/(-12) + 14\/(-4). Let n be c(u). Solve -3*y - 9 = -3*m, 0 = 3*m - 7*m + n*y + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (745\/(-298))\/(50\/(-16))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199.827 - -198.8. Let y = -0.027 - r. What is the closest to y in -3\/5, -9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81041, 162056, 243071, 324086, 405101?\n\"Answer: 81015*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(121)*4)\/sqrt(11) + sqrt(176) + 0)**2.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 108 = -2*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498795808?\nAnswer: 2, 7, 2226767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -1\/5, 50\/23, -15, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (16 + -19 - 9) - -26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 50*y - 23*y = -973192. What are the prime factors of y?\nAnswer: 2, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q. Let v(a) = 5*a**2 + 2*a - 10. Let p(i) = 2*i**2 + i - 5. Let f(z) = 5*p(z) - 3*v(z). Let u(y) = -f(y) + 4*s(y). What is u(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10581 = 3*z, -17*z + 19*z - 3*r - 7048 = 0. Calculate the remainder when z is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 16 + 2663582*c**2 + 0*c - 2663700*c**2 in the form m + x*c + d*c**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 34 - (9 + -25).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnnbnnhhnnnhnnhnnh. Give prob of sequence hbhh.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.2175 rounded to one dp?\nAnswer: 174.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-3\/5)*m)\/m*m)\/(((((m**(2\/5)\/m*m)\/m)\/m)\/m)\/m)*(m**2*m*m*m)\/m**3)\/((m**0*m**1*m)\/(m**(1\/9)*m**(-2\/9)*m)) assuming m is positive.\nAnswer: m**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2 - (-8 + 11 + -5). What is the hundreds digit of (-1 + -3)\/(l\/(-816))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/16 or -1220?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2229073387 and 2.295.\nAnswer: 2.0720926613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + j**4 + 0*j**3 + (6*j**4 - 4*j**4 - 4*j**4)*(-4 - 38 - 103).\nAnswer: 291*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2350, 2437, 2582, 2785, 3046, 3365, 3742?\nAnswer: 4177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45004338354 + 1.\nAnswer: 45004338355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39624 - 371073. Let p = l + 227179. Let h = -98518 - p. What is h rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92132575*h*s**2 - 54859*h*s - 26*h + 2*s**2 - 2*s + 6 wrt s?\nAnswer: -184265150*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5135602.648 less than -37.45?\nAnswer: 5135565.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 425*w - 86. Let r(g) = 159*g - 29. Let o(t) = 3*l(t) - 8*r(t). Give o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25321*l - 50650*l + 25279*l + 68)*(-l**3 - 2*l + 2*l).\nAnswer: 50*l**4 - 68*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 301 = 1859. Is x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.65 + 12.65. What is the second biggest value in q, 13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206695 + 370448. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (10 + (-28 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -2\/5, -2\/7, -5, 3999?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174519 and 135?\nAnswer: 2617785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -125*v**4 - 19100*v**3 + 42430*v**2 - 30180*v + 6975 = 0.\nAnswer: -155, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) -5 (c) 2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 3}. Give prob of sequence qqxq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 9 = 0. Let b = n - -1. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2123 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*s = -10, 3*l - l + s = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63451.\nAnswer: 107, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19 + -20 + (-1336116)\/(-34248) and -59\/2?\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, -120, -175, -228, -279, -328?\n\"Answer: c**2 - 60*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 411*g**2 + 51*g**2 + 575*g**2 - 134*g**2 - 27*g**3 + 18*g**3 as w*g + i*g**2 + d + s*g**3 and give i.\nAnswer: 903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -5*o + 10, o - 4*o - 12 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -562 + 1197. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8650366 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 - 118*q**4 + 160*q**4 - 12 wrt q.\nAnswer: 168*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -k - 31, -2*k + k + 3*s = 33. Let f be (-6)\/k - (-238)\/63. Are 18\/7 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 57 (c) -0.1 (d) 147 (e) -0.08 (f) -5 (g) 6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 + 256915*j**4 - 3301678590*j**3 + 36295088580*j**2 - 98965589400*j = 0.\nAnswer: 0, 5, 6, 25686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 59529 = -r. Let x = r - 41526. Let l be (-1)\/3 - x\/(-9). 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: Simplify ((s\/(((s\/s**(-2)*s)\/s)\/s))\/s**(-3)*s**(3\/7)*s*s**(-7)*s)\/((s*(s\/(s\/s**1))\/s)\/((s*s**(-6))\/s)*s**6*s**2) assuming s is positive.\nAnswer: s**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1036*l**2 - 1311584*l - 10128.\nAnswer: -4*(l + 1266)*(259*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -556581421\/224 - -17561118\/7. Let t = m - 23990. Calculate the common denominator of 79\/32 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245884 to the power of 1\/2, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(460\/450 + 2\/(-9)). Let i = 0.1 + 0.3. Let o = -32 - -223\/7. Sort z, i, o in descending order.\nAnswer: i, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 - (-1274)\/27930*-1729?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1005?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - 2.1. Let i = r + 4. Let v = 1748\/9 - 194. Put -0.5, v, i in ascending order.\nAnswer: -0.5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7747 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, -333, -334, -333, -330, -325?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/10695 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2736)*-2.\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3070851976.\nAnswer: 2, 79, 4858943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -36*b - 3744. Calculate the common denominator of -61\/48 and 144\/b + 2 + (-1946)\/312.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 1 + 76)*(4*u - 3*u - 4*u).\nAnswer: -366*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:17 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -460 or -5063\/11?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/l**2)\/(l*l\/(l*l\/l**(-3))*l)**(-2\/15) assuming l is positive.\nAnswer: l**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 3*u + 5 - 21, 0 = -4*u - 2*a + 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3649478135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1015 or 4413?\nAnswer: 4413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h - 4. Let z be d(-3). Suppose -5*w - 4*k + 1 + 8 = 0, 3*k = -z*w - 2. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14668, -14678, -14694, -14716?\nAnswer: -14744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5970*-0.36\nAnswer: 2149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 2*r + 5*r + (53 - 53 - 47*r)*(-2 + 1 - 1) + 0*r - 2*r + 0*r.\nAnswer: 94*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by 17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 5*m**4\/6 + m**3\/6 - m**2 + 3*m. Let b be g(-3). What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16174, 32356, 48536, 64714?\n\"Answer: -o**2 + 16185*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 6, -5, -146, 19 in decreasing order.\nAnswer: 19, 6, -5, -22, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/2 (c) -101 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1) + 144*1. Let o = -69 - -116. Suppose -3*d + 5 = 3*u - y, -2*d - o = -u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/2 (b) -3.2 (c) -2\/3 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = -5*l + 4*l, -5*l + 79 = -3*x. Suppose l*n = 22*n - 12960. Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-84)\/(-18))\/((-37)\/(-12) - 3). Calculate the greatest common factor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -1388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 534, -492, -0.11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 165 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201212212102000 + -2?\nAnswer: 1201212212101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247020\/12972 + (-2)\/47.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**10\/h*h)**(-17))**(19\/6))**10)**(-4\/31) assuming h is positive.\nAnswer: h**(64600\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -343*f**2 + 6*f + 459. Let p(t) = 343*t**2 - 4*t - 460. Let r(s) = -3*p(s) - 2*x(s). Find the first derivative of r(m) wrt m.\nAnswer: -686*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/10*9 - -12. Let n(g) be the second derivative of 0 - 1\/2*g**2 + 10*g + 0*g**k + 5\/6*g**4. Differentiate n(c) with respect to c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*h + 16 = -365*h + d, -3*h + 29 = -d for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*y + 90, 3*y - y + 25 = -u. Let d = -10 - u. 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(w) = 2*w**2 + 7*w - 10. Let d be g(-5). Suppose -3*s + 4*s + 14 = -4*o, -2*s = -o - 8. Let r be (-4)\/(-6)*33\/s. Solve -d*n - 9 = r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/(-468)*(-7)\/4\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zel when three letters picked without replacement from {l: 6, e: 4, z: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6605 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 17 - 44 + 16 + 6*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + 2*c + 0*c**2 - 9\/20*c**5 - 13\/30*c**6 - 5\/42*c**7 + 1\/3*c**3 + 1\/12*c**4. What is i in p(i) = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -18*c + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/3, -10\/3, 15, 2\/7, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.8 + -41. Is 1\/2 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(3*16\/(-60)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 3*y - 1. Let s be o(4). Suppose h + 20 = t, t + s*h = -4*t + 68. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8970313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*l - 432 - 236, -4*t + 544 = 4*l. Suppose -3*x = -5*g - 56 - 287, l = x + 3*g. Let s = 46 + x. What are the prime factors of s?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 63 - 63 + (0*d + 0*d - d)*(1 + 0 + 0))*(6*d - 2*d - 3*d) to the form q*d + t*d**2 + p and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.141994 millennia?\nAnswer: 21.41994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17*o. Let s(q) = 18*q**2. Calculate b(s(d)).\nAnswer: -306*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14 - 11910\/(-432)) + -12 and -127\/84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 4, 30, -13, 0, 7.\nAnswer: -13, 0, 3, 4, 7, 12, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -453*d - 30828. What is o(-68)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let x be -10*(0 + (-2)\/4). Let p(w) = -w - 4*w - 3*w + x*w. Give l(p(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, x: 3, v: 8, u: 2}. Give prob of sequence vy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let v(m) = -m**2 - 2*m - 1. Let k(n) = 2*h(n) - v(n). Let z(t) be the first derivative of k(t). What is the first derivative of z(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -8*o - 14. Calculate the remainder when 95 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14902, 29433, 43588, 57367, 70770?\nAnswer: 83797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -790185, -790189, -790205, -790233, -790273?\n\"Answer: -6*w**2 + 14*w - 790193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 69. Suppose -14*a = -13*a + 34. Let g(j) = -j**2 - 36*j - 47. Calculate the remainder when t is divided by g(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-44)*i\/(i\/(i*i\/i**(-11))) assuming i is positive.\nAnswer: i**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41551, 83276, 124999, 166720?\nAnswer: 208439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3 + n**2 + 7 - 2*n - 2*n. Let r(b) = 3 - 4*b - 2 + 3*b. Let q = -7 + 11. Determine q*r(i) - t(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3)*(38 + -2). Suppose 5*w - s = 2*w. Suppose 0 = -9*p + 7*p + w. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 49063.1 from -48355.\nAnswer: -97418.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1805 + -552. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -60?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 32 - 144 = 0. Let x = p - -40. Let d = -231 - -267. Calculate the highest common divisor of x and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*h - 2809 - 4840 = 4131 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**2 + 4 - b**2 + 21*b**2 - 2 + 73*b**2.\nAnswer: 82*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + t**2 + t + 2. Let u be h(0). What is the third derivative of 4*j**6 - 3*j**5 - j**2 - j**u + 3*j**5 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2873302l in millilitres?\nAnswer: 287.3302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48961*q**5 - 3*q**4 + 18670163*q**2.\nAnswer: 2937660*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 15 = 2*p, 2*p - f = 9. Let a = 9 - 4. Suppose -2*r = -3*b + a, -5*b = -2*r - 7 - 4. What is the remainder when p is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24*z**2 + 648*z + 5. Let w be k(-27). Solve 0*q + 2\/3*q**3 + 0*q**2 + 0 - 5\/3*q**4 - q**w = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*b = 2*u - 96*b - 35, 5*b = -5*u + 150. Put 2\/5, 3, 0.1, u in increasing order.\nAnswer: 0.1, 2\/5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 70, 24, -46, -140, -258, -400?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 - 622. Are -0.052 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 4*v. Let r be y(-4). Suppose 2 = -u - 0*u, r = -c - 5*u - 9. Suppose -3*z - c + 43 = 0. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 173 = -13*n, d + 14 = -n + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -23, -59, -113, -191?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3767 or -37.45?\nAnswer: 3767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from ccccccqqcccccccccccc.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert f4 (base 16) to base 14.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 71*w**2 - 52*w - 2676. Let r(o) = -24*o**2 + 17*o + 891. Let h(z) = -3*p(z) - 10*r(z). What is the derivative of h(f) wrt f?\nAnswer: 54*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -440.27 - -3.27. Let n = w - -454. Are n and 16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7510 and -48\/68341?\nAnswer: 683410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + 6 - 88 - 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 14665*d + 14665*d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-1310)\/24. Let r = 55 - y. What is the biggest value in 2, r, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.31 + 0.57. Let v = -178249.2600104 - -178249. Let d = v + h. What is d rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/28 - 27\/(-4). What is the units digit of 2 + 503\/b - 4\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 29 + 40*r**2 - 42 - 37*r**2 - 129 - 87. What is the hundreds digit of l(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/3, -1, 22, 21\/4, -5, -16, -2\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6081*-15.39.\nAnswer: -93586.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1859 = 5*z - 4*l, -4 = -l. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 7\/(28\/(-96)). Suppose 20*p + 9 = x*p. Suppose 4*l - 5*q + 117 - 423 = 0, p*q = 5*l - 389. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let g(w) = -24*w - 28*w + 65*w. Give g(k(d)).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -10*s**7\/7 + s**6\/2 + 5*s**3 + 42. Find the third derivative of w(k) wrt k.\nAnswer: -1200*k**3 + 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 180*f + 582. Calculate m(93).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*n + 35*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2282, -2, 0, -1, -18, 34 in ascending order.\nAnswer: -18, -2, -1, 0, 8, 34, 2282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148232199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 3652 - o + 3639)*(7 - 15 + 20)*(2 - 2 + 2).\nAnswer: -120*o - 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.16*-8.4\nAnswer: -26.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - t + 40. Suppose -n - t = -1. Let k = n - -10. Solve -k*q = 15, v - 17 = 5*q + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**8\/560 + 3*p**7\/350 - p**6\/100 - p**5\/50 + 3*p**4\/40 - p**3\/10 + 7*p**2. Find v, given that j(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26316 - 509?\nAnswer: 25a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1929516.6 - -2560.\nAnswer: -1926956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:31 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/4 + m**3 + 2*m**2 - 45*m. Let p be i(-4). What is the highest common divisor of 252 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 15*f**3 - 2793*f**2 + 5529*f - 2754.\nAnswer: 3*(f - 27)*(f - 1)**2*(f + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3221*i + 52014. Calculate u(-16).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819*f = 827*f - 3248. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bd44 + 54?\nAnswer: -2bcd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1226 - -503. Let x = 944.8 + c. What is x rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/2 - ((-9)\/(-6))\/3. Let y = t + -37. Solve c = -y - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753676 is divided by 150733.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**8\/26880 + d**7\/2240 - d**6\/480 - 19*d**5\/60 + 5*d**2. Let f(c) be the third derivative of y(c). Factor f(o).\nAnswer: -3*(o - 2)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/13 and -43\/283.\nAnswer: 3679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023639460059 to seven decimal places.\nAnswer: -0.0023639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64222.5 litres to millilitres.\nAnswer: 64222500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225*r + 377232 - 284132 = 0 for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*k**2 - 37*k - 1.\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q**3 + 10*q**3 + 2*q + 0*q)*(-2536 - 210*q + 2536).\nAnswer: 630*q**4 - 420*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + (-6 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 + 905*x + 11898. Calculate z(163).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011194561 rounded to 5 decimal places?\nAnswer: -0.01119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*c + 17 = 5*t, -5*t - 2*c = -11. Let q(h) = -9*h**3 + h - 1. Determine q(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/7)*g**(-12))\/(g**(4\/5)*g**(-2\/27)))**(-12) assuming g is positive.\nAnswer: g**(45944\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 2*y + 139. Determine r(0).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 28*x + 56. Let p be l(26). Suppose -2*f + h = 5, p*f - 2*h + 7 = -h. Let j be 4\/(-3)*(-6)\/4. What is the closest to f in -5, j, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 3 + 0)*(0*s - 3*s + 4*s) + 3*s + 7*s - 3*s)*(-2 + 4 - 63225*s + 62968*s) to i + l*s + t*s**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*p - 209132 + 210320 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*o - 29*o - 30*o - 24*o + 159*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, h: 6, p: 3, f: 2, w: 1}. What is prob of sequence pp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992405.\nAnswer: 3, 5, 43, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182160 is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.395824 minutes in hours?\nAnswer: 0.3399304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(-21*r**2 + 72*r**2 + 23*r**2 - 2*r**2 + r**2 + 0*r**2 + (-r - 2 + 2)*(0 + 0 + r)) to the form n*r**2 + a + h*r and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71111 divided by -471\nAnswer: 71111\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 4 (c) -0.8 (d) -11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 + 9*i**2 + 16*i + 14. What is a(-6)?\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 15*s + 36 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (627\/(-418))\/(6\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12432 (base 5) to base 15.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/16 + (-14)\/4. Calculate the common denominator of (z\/(60\/(-9)))\/((-99)\/(-2)) and 113\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -836 + 1026. Let t = w + -190. Let 16\/5*l**5 + 12\/5*l**3 - 1\/5*l**2 + 28\/5*l**4 + t - 1\/5*l = 0. What is l?\nAnswer: -1, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/56)\/(78\/(-65)*(-105)\/168)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 - (-10)\/(-45). Let k = -8 + -21. Let n = -13 - k. Solve -u + 6*u = -2*o - 8, b = 4*o + 2*u + n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 - 90. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4197 + 23001?\nAnswer: 27198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -514, -2350, -5410, -9694, -15202?\n\"Answer: -612*g**2 + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (13 - 2) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/1 - 10\/20. Let o be (687\/(-99))\/(1\/(-18)). Let z = o - 125. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 5*k**3 - 9*k**3 - 11*k**2 + 2*k**3 - 6*k - 2. Let l(i) = 6*i**3 + 35*i**2 + 18*i + 6. Let j(b) = 6*l(b) + 17*r(b). Solve j(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305519, -1222040, -2749573, -4888118?\nAnswer: -7637675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 17*s + 5751*s**2 - 31*s.\nAnswer: 5751*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/239 and -25\/2.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 621 + -723. Let v = 81 + g. Put -4, 5, v in decreasing order.\nAnswer: 5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2 + 1. Suppose -8*b = -y*b - 100. Suppose -o - o - 3*a = -110, 0 = -5*a + b. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -7 (c) -552 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*s - 2151, -p + 2*p = 2*s + 535. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 9. Let u be y(-9). Let f be 1162\/u*5\/55. Let r = -79\/22 - f. Find the common denominator of 3\/4 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.2 - 54.209. Let k = 1.5 - 2.5. Let y = f + k. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(sqrt(36) - sqrt(216)\/sqrt(96))\/(sqrt(12) - (-5*sqrt(108) + sqrt(108))).\nAnswer: -3*sqrt(3)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r + 242. Let h be k(34). Suppose 2*i = h*s + 18, 3*i + 0*i - 5*s - 23 = 0. What is the highest common factor of i and 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 8*o**2 - 8*o - 1. Let s be z(7). Are s and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 261 + 228 + 228 + 0*v - 717 + 3*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 64 = 6*t. Let j(d) = -t + 4*d + 16 - 2*d. Let a(l) = -6*l**2. Give a(j(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -99 in descending order.\nAnswer: 2, -7, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1224\/272)\/(3\/(-4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.102. Let g = l - 42.958. Let i = g + 43.00000046. What is i rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b55 (base 12) to base 7\nAnswer: 12563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.075 + -8.675. Let s = f + 20.9. Round s to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 - -249. Differentiate -29 + y - 19 + 104 - 116*v wrt v.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:03 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69484, 277872, 625166, 1111372, 1736496?\n\"Answer: f**3 + 69447*f**2 + 40*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-1*2 + 0). Let f(q) = q - 5. Let t be f(5). Solve x + z + 4 = r*z, t = -4*x - 4*z + 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -3*a + 2*x, -2*a + x = 2*x - 136. Suppose 7*b + a = -2. What are the prime factors of 4\/b - (-988)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1135, -2\/81281, 9 in increasing order.\nAnswer: -2\/81281, 0.1135, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + 48*j**2 + 48*j + 20. Let p(q) = -4*q**3 - 64*q**2 - 64*q - 27. Let r(w) = 11*o(w) + 8*p(w). What is r(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.99 + 3.99. What is the nearest to 16 in -4, o, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 34 = -3*j, -j + 0*i + 3*i + 335 - 146 = -i + 156 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - ((sqrt(77) - sqrt(77)*-2 - sqrt(77))*3 - sqrt(77))))\/(sqrt(847)*1).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efpfjp. What is prob of picking 2 p and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/((-85)\/135354))\/3. Is 2654 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/5 + 92*h**2\/5 - 280*h + 7056\/5 = 0.\nAnswer: 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 + 16*v**4 - 32*v**3 - 124*v**2 + 30*v + 108 = 0. Calculate v.\nAnswer: -9, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465671?\nAnswer: 13, 241, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 3*f - 6, 3*d = -5*f - 0*f + 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let m(v) = v**3 + v - 1. Let c(u) = 52*u**3 + 2*u - 2. Let w(y) = c(y) - 3*m(y). What is the tens digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(340\/(-280)) + 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/21 + 7*d**3\/3 + 2*d. What is the second derivative of x(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let x(v) = v**2 - 3*v - 2. Let j be x(u). Let k(b) = -b - 7. Let w be k(-7). Solve w = t + 1 - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n - 10. Let l(w) = -13*w + 16. Let x(u) = -5*j(u) - 3*l(u). Let d be (-520)\/(-72) + 4\/(-18). What is x(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b6 - 1d?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -6 - (5 + -2). Suppose o = 10*b - 12*b - 2. Does 22 divide b + 2\/2 + 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-7))\/((-21)\/(-18) - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544819337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(225) - sqrt(72)\/(sqrt(16)\/sqrt(2)))\/(sqrt(300) + sqrt(300) + sqrt(300)*-2 - sqrt(480)\/sqrt(10)))**2*-2*-3 + -1.\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqsisssss. Give prob of picking 3 s.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.3, -0.5, 148, -2\/7227, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(7\/8)\/((-23)\/46)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120360114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/8 - 36931*w**3\/4 + 369359*w**2\/8 + 221601*w = 0 for w.\nAnswer: -73867, -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -35*a**2 + 1147*a + 81. Let x be m(34). Which is bigger: x or -1376?\nAnswer: -1376","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - v**2 + 0*v**2 - v**2 - v**2 + 3*v**2 + (0*v - 3*v + 4*v)*(v - 1 + 1) + (-v + 4*v - 2*v)*(-2 + 2 + 4*v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 112508*-3\nAnswer: -337524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:50 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 135\/10 - 3\/2. Let q be (-16)\/p*(-3)\/2. Suppose -2*y - 2 = -c, 5*c + 0 = 2*y + q. Solve c = 4*j - 3*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:19 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 4*w + 2. Suppose 0 = 2*q + 2*o + 14, 0 = -4*q - 3*o - 27 + 2. Let v be x(q). Solve v*c = 5*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2*m**2 + m + 1. Let t be -2 - 204\/(-33) - 12\/66. Suppose 2*z + z - 40 = -2*l, -z = t*l - 90. Let k = -20 + l. Calculate r(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 29 + 27)*(r - 5*r + 2*r) to the form m + v*r and give v.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**6\/6 + 4*w**4 + w**3\/3 - 61*w - 191. What is the third derivative of g(z) wrt z?\nAnswer: 60*z**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 16. Let q(d) = -d - 3. Let s(y) = 22*q(y) - 4*v(y). Let n be s(-4). Does 11 divide 156\/9*(-15)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 20. Let c be ((-4)\/(-6))\/((-2)\/(-6)). Solve u = -c*x + 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3994 is divided by 1957.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.7172846.\nAnswer: 2.1518538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20644, 22488, 24332?\n\"Answer: 1844*k + 18800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 - 105*r + 400. What is i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 57*x**2 + 20*x**2 + 9*x**2 + 17*x**2 - x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = 2*k - 293, 3*k = 2*f + 409. Let g = k - 422\/3. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 109980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54346, 54399, 54462, 54535?\nAnswer: 54618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 227 = -160*k + 29. Solve k*x = -x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*j**4 + 573*j**3\/2 + 2457*j**2\/2 - 1380*j - 150 = 0. What is j?\nAnswer: -10, -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 47. Solve 6*x - r*x - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and 26946\/745 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/21 - 188\/(-658).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 + 9*f - 2. Suppose -31 = 13*y + 21. Let i be r(y). Sort 2, -3, i in ascending order.\nAnswer: -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 265, 763, 1659, 3067, 5101, 7875?\nAnswer: 11503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + sqrt(110) + sqrt(110)*5*-2)\/sqrt(10) + 0 + 5*(sqrt(1584) - (-2 + sqrt(1584)))*-1)*4)**2.\nAnswer: 2560*sqrt(11) + 12864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -334\/19 and 5.1528 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -18, -5, -7, 115212 in increasing order.\nAnswer: -18, -7, -5, -3, 1, 115212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65157*p + 24122*p - 34548*p.\nAnswer: -75583*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 17. Let b be v(-10). Suppose -2*s = -b*s + 4, x - 3*s + 15 = 0. What is the hundreds digit of ((-107)\/(-4))\/(x\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2502, -4970, -7454, -9960, -12494, -15062?\nAnswer: -17670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - 101?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a + 294. Let u(p) = 2*p - 59. What is 2*l(r) + 11*u(r)?\nAnswer: 2*r - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257632118 to the power of 1\/3, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, -0.1, 9, 0.4, 2\/17 in descending order.\nAnswer: 9, 0.4, 2\/17, -0.1, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 149 = -5*i, 4*b - 44 - 42 = 3*i. Is 4 a factor of (-4)\/(8\/i) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8) + (-39)\/(-6). Suppose -b*u + 4*p = -u - 20, -5*u = 4*p - 60. Suppose u*k = 10*k - 4314. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 2*f + 3*f**2 + 14*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-75)*-5)\/(-10*5\/15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7*o = -5456. Let p be 8\/14 + o\/154. Let s = -94\/15 - -32\/5. Sort 0, s, p.\nAnswer: 0, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1920, -17 in decreasing order.\nAnswer: 1920, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -27*l - 755 + 6859. What is the remainder when 270 is divided by l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:36 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3980 - v + 4000 - 2316 + 4059)*(-2 + 3*v - 4*v + 3*v) to the form h*v + r + i*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h\/(h\/(h\/(h**(5\/8)\/h)))))*h**(-10)*(h*h\/h**(6\/5)*h*h)**28 assuming h is positive.\nAnswer: h**(2831\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 8 (b) 132 (c) -2\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(325) + -5 + 4 - (1 + sqrt(325) + sqrt(325)*1 - 4*(1 + sqrt(325)))**2 - ((-5*(sqrt(325) - sqrt(325)*-2))**2 + (-6*(sqrt(325) + 1))**2 + -4).\nAnswer: -86168 - 415*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.7 + -17. Let h = 1 - w. Let m = 0.2253 - 0.5253. Put m, h, -1, 5\/3 in decreasing order.\nAnswer: 5\/3, h, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 637*x**2 + 183*x + 109875?\nAnswer: 1274*x + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 176*b + 176*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, x: 3}. Give prob of picking 2 x.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 72, 0.3, 1, -4, -7\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 169 and -15.\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4984839 years to millennia.\nAnswer: 0.0004984839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/40*q**6 + 0*q**4 + 0*q + 0 - 7\/6*q**3 + 0*q**5 + 5*q**2. Differentiate n(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**6*s - 52*a**5*s + 2*a**2*s - 166*a**2 - 4*a*s - 2*s wrt a.\nAnswer: -1440*a**3*s - 3120*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1627*b**2 + 1627*b**2 - 7*b**3 + (2 - 2*b**2 - 2)*(-5*b + 3*b - 2*b) + b - b - 2*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*p - 3, 3*a + 31 + 8 = 5*p. Calculate the remainder when 148 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135 (base 7) to base 15.\nAnswer: -1cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4970 and 33?\nAnswer: 164010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4784)\/338 - 4\/(-26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10111001100?\nAnswer: 10111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1144)\/110)\/(-26)*(-20)\/(-4). Find s, given that 2\/3*s**a + 0 + 5\/6*s**3 + 1\/6*s**4 + 0*s = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250138524 to the nearest integer?\nAnswer: 15816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 4*u - 2586. Suppose 0 = -5*h - 2*k + 719, -5*h = -4*k - 0*k - u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 + (-1 - -3)) - (12 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14\/21*((-36)\/8)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 727*z - 20 - 15 - 2080*z + (3*z - 4*z + 0*z)*(1 - 1 - 2) + 3*z + 0*z + 0*z to the form p + s*z and give s.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*l**3 + 28*d**3 + 41*d**2*l**3 + 2 wrt d?\nAnswer: 6*l**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602336214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/9 - 362*b**3\/9 + 10820*b**2\/9 + 30608*b\/3 + 8960 = 0.\nAnswer: -6, -1, 48, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c + 2*c**4 + 3*c + 2*c**4 - 2*c**3 - 2*c**4 + 50*c to the form d*c**4 + m*c**3 + o*c**2 + b + j*c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 42*m - 1\/30*m**6 - 11\/2*m**2 + 0 + 5\/3*m**3 - 1\/2*m**5 + m**4. Factor x(o).\nAnswer: -(o - 1)**2*(o + 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/y**(2\/15))\/((y\/(y\/(y*y**(1\/5))*y))\/(y*y\/((y**(-7)\/y)\/y)*y)) assuming y is positive.\nAnswer: y**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1975 = -2*g. Suppose 0 = 6*s - s - g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4381\/246 + -42\/41. Suppose 5*x = 180 - 20. Find the common denominator of w and x\/10*-1 - 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 4*u**2 - 5*u**2)*(0 + 9 + 0)*(u + u + 0*u).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359 - 511 - 546)*(9*x**2 - 3*x**2 + x**2).\nAnswer: -9912*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8644 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -2302010320010?\nAnswer: -2302010320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 55 = -229. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 5*n**2 + 9*n - 13. What is i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 3. Let a be (-5 - -10) + -1 - -1. Let v(j) = 2*j + 4. Give a*q(g) - 4*v(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 467700 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 1237165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 36\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*b + 60*b + 53*b + 60*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 144*u + 1114. Calculate o(79).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 138480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -56?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 29829*b**5\/8 + 14915*b**4\/2 - 89483*b**3\/8 - 3*b**2\/4 = 0?\nAnswer: -3, -2\/29829, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**5 - 6*j - 8. What is the first derivative of h(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j - 57. Let x be f(5). Find the second derivative of 57*t + 3*t**3 - 3*t**3 + 8*t**4 - 6*t**5 + x*t**5 wrt t.\nAnswer: 40*t**3 + 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2114 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s + 9. Give a(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*3 + 3. What is the nearest to 0 in r, 5\/6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17722010.\nAnswer: 2, 5, 1772201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -l + 10, -6*l = -l - i - 8. Let b(p) = p - 2. Let q be b(l). Suppose 0 - 1\/5*v**3 + 1\/5*v**4 + q*v**2 + 0*v = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 11*t**2 + 11*t - 1. Let m be b(-12). Let z = -8 + m. Suppose 0 = z*h + 13 - 67. What is the smallest common multiple of h and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8912, 9081, 9362, 9755, 10260, 10877, 11606?\n\"Answer: 56*y**2 + y + 8855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -i - 5*j, 3*i - j - 28 = 0. Suppose z = -5 + i. Find the third derivative of -2*p**2 - 6*p**z + 3*p**2 + 10*p**5 wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4228*t**5 + 2*t + 3505 wrt t?\nAnswer: 84560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1235 divide 10050430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9*n - 11*n + 14 = 0, 4*t - 19 = n. Suppose -3*s + 50 = 5*x + 2*s, 2*s + 1 = x. Solve -t*m + 5*z - x = 14, -3*z + 18 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.941 to 1 decimal place.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 364544, 19 in descending order.\nAnswer: 364544, 19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 10*l + 0*l**2 + 16*l.\nAnswer: -2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 222107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(143) + sqrt(143) + -2*sqrt(143))*-6 + sqrt(143))\/(sqrt(33)\/sqrt(3)*-5) - (-6*4*sqrt(117) + sqrt(117) + -5)).\nAnswer: -2064*sqrt(13)\/5 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32231267\/1215 - 132639\/5. Let y be -3 - -1 - 28\/(-12). What is the second smallest value in 0.2, y, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(242) - (sqrt(242) - (-2*sqrt(242) + 0)**2)) + -5 + 4*sqrt(242))*-4 + 3.\nAnswer: -19257 - 880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 662*k**2 - 6 + 192*k**2 + 5 as v*k**2 + b*k + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 6*a - 4. Calculate g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110\/7*s**2 - 2\/7*s**3 + 348\/7*s + 0.\nAnswer: -2*s*(s - 58)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -11, -173?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 175918769 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 8. Let c(s) = -2*s + 18. Let g(l) = 113*l - 162. Let m(u) = 9*c(u) + g(u). What is k(m(n))?\nAnswer: 9025*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007887 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) -0.99 (c) -9 (d) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.075276 from 5900.\nAnswer: 5900.075276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0*z - 30. Let l be (-555)\/z*(-3 + -397). What is l rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 15*u**4\/4 + u**3 + 12. Find the third derivative of v(z) wrt z.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/28)\/(70\/80).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(3) + sqrt(21)\/sqrt(7))*6 + ((sqrt(3) + sqrt(27) + sqrt(3))*-5 - (-4 + sqrt(75) + sqrt(3))) + 5)**2*3.\nAnswer: -2508*sqrt(3) + 4701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 40*s - 273. Let g be u(-6). Let b(z) be the first derivative of 3\/2*z**2 + 0*z - 1\/4*z**4 - 10 - 2\/3*z**g. Solve b(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -468131750 - 0.\nAnswer: -468131750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 294 + -1452\/5. Suppose 10*y - 3*y = 0. Let o be y - -3*(-2)\/(-8)*4. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3\/32*j**4 + 0*j + 1\/20*j**5 - 108 + 1\/24*j**3 + 0*j**2. Determine t so that w(t) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/6)\/(96*833\/7616)\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 24*c**4 + 66*c**3 - 72*c**2 + 27*c = 0. Calculate c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 233434392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3632909 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3756146393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 9. Let g = 80 + -41. Suppose 4*m = g + w. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 134*t**3 - 6*t**2 - 6*t. Let i(h) = -133*h**3 + 5*h**2 + 5*h. What is 6*i(z) + 5*x(z)?\nAnswer: -128*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-16 - 248\/(-16))*1\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 21*m + 34. Let g be l(-4). Suppose 0 = 2*b + 1 - 5. Sort 5, g, b in descending order.\nAnswer: 5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13174 - 5?\nAnswer: -13179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 1 = 0. Let m = q - -16. Suppose -4*t + m = -7. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110 + 101110100100011100100?\nAnswer: 101110100100101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 104 (b) -48 (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 609423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*42\/(-84))\/(((-1)\/212)\/1))\/(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/3)\/((-11)\/66). Let a = 63 + z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -248 (b) 4 (c) 3\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 2*p**3 + 5*p**3)*(0 + 2*p - 4 + 1) - p**4 + p**2 - p**2.\nAnswer: p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w + 1)*(3 + 6 + 3).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(1900))**2 + 4*-3*sqrt(19) - (1 + sqrt(304) + -1 + sqrt(76)\/sqrt(4))).\nAnswer: -17*sqrt(19) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -118, -253, -388, -523, -658, -793?\n\"Answer: -135*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*p = -3, 6*a + 13*p = 9*p - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2315868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -526\/611 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1\/1323799338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 11*a**2 + 10*a + 6. Let p be x(10). Suppose -88 = -p*g + 2*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 107 = 5*b - 220, -4*b - 8 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/60 + 21*m**4\/8 + m**3\/6 + 3*m. Let n(x) be the second derivative of f(x). Is n(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g + 3\/2*g**2 + 0*g**3 - 3\/4*g**4 + 15. Factor q(d).\nAnswer: -3*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354734.\nAnswer: 2, 3, 73, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 1. Let l(b) = -b**2 - 2*b - 3. Suppose -2*h - 3*p = p + 8, 0 = h + 4*p + 6. Let q be l(h). Calculate f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**3 + o**3 + 2*o**3)*(64*o - 1553 + 90*o - 153*o) in the form b*o**3 + s*o**2 + h*o + y*o**4 + w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o. Suppose o = -5*q + 3*q + 12. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2606 and 3?\nAnswer: 2609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8\/3 (b) -12 (c) 1 (d) 5 (e) 2\/35 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -2\/3, 24 in descending order.\nAnswer: 24, -2\/3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4263 = 83*m + 3290 - 8687 + 6363 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 + (-1 - -9) + 25 and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 11*c**8\/6720 + c**7\/168 - c**6\/240 + c**5\/60 - 3*c**3 + 5*c**2 - 6. Let v(u) be the third derivative of p(u). Factor v(r).\nAnswer: 3*(r + 1)*(11*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3762 * 3.\nAnswer: -11286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -34, -292, 1\/9, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 13\/(130\/400)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1. Let p(b) = 67*b - 6. Let q(n) = -6*i(n) - p(n). Let k(j) = -240*j + 127*j + 109*j. Determine k(q(c)).\nAnswer: 268*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 = -n + 23, 4*n - 5*r + 20 = 0. What is the closest to 1\/4 in n, -5, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312212101 + 1002?\nAnswer: 1312213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 + 1?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 + 986*l**2 - 796*l - 795. Calculate v(-198).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/16 + 81\/112. Let f = 51853 - 1037303\/20. Let c = -47\/4 - f. Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 286*r - 286*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, 9, -35300 in ascending order.\nAnswer: -35300, -3, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbbb when four letters picked without replacement from {b: 6, c: 12}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 81 + 16. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -713 + 718. Put -191, r, -3 in descending order.\nAnswer: r, -3, -191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1770 + 16?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6946 and 1012?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*(-22)\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 - 1553*l**2 - 9*l - 15.\nAnswer: -12*l - 3106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -71*a**2 + 164*a + 6724. Let y(c) = 47*c**2 - 164*c - 6724. Let z(q) = -2*u(q) - 3*y(q). Factor z(k).\nAnswer: (k + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n**4 + 3*n - 3*n + 5*n**4 + n**4 - 5*n**4 + (n**4 - 3*n**3 + 3*n**3)*(-1 - 2 + 5) + (2 - 2 - n)*(-n - 2*n**3 + n).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157391\/20 - -7868. Calculate the common denominator of i and 1\/5 - 339\/(-120).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(286) + 1*sqrt(286))*5 - sqrt(286))\/(sqrt(11) + -3*sqrt(11)*-2))\/((-1*sqrt(128) - (sqrt(242)*1 + sqrt(2)))*1).\nAnswer: -9*sqrt(13)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38356 and 344.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130776641 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a + 360984 = -44*a + 172*a. Calculate the greatest common divisor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 92*j**2 - 22*j - 292. Let d be m(-28). What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52395 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((716\/1253)\/(4\/14))\/(2\/(-20))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y. Suppose -7 = 3*l - 1. Let p = -57 - -66. Let i(m) be the second derivative of m**3\/3 - 2*m. Calculate l*x(c) + p*i(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 + 200*k + 69. What is t(68)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12775 and 17885?\nAnswer: 89425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*v + 45, -5*v + 1 = -4*j - 8. Let n(u) = -u**3 + 5*u**2 - 2*u - 5. Let c be n(j). Factor -1\/2 - m**c + 1\/2*m - 1\/2*m**4 + 1\/2*m**5 + m**2.\nAnswer: (m - 1)**3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/217 and -68\/77971851?\nAnswer: 545802957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6073231.\nAnswer: 101, 157, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 41. Find the second derivative of -20*w**2 - a*w + 7*w + w**2 wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10578479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x + 61*x - 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 - 8*l**4 + 25360*l**3 + 7509*l**2 + 76*l.\nAnswer: 60*l**2 - 192*l + 152160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.17 + -13.17. Which is the second biggest value? (a) -6\/31 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81156474 to the nearest integer?\nAnswer: 9009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 37*v - 78. Let w be a(16). Suppose -w*o + 7103 = -7895. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2 - 4. Suppose 26 = r*c + 4*k, 4*c - 8 - 20 = -4*k. Suppose 0*p - 78 = -c*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-20)*(-20140)\/111777?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.35? (a) -2\/9 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 3. Suppose 80 = -2*v + 6*v. Suppose 3*r - 4*h + 10 = -2, 5*h = 5*r + v. What is the remainder when z(r) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-308)*21)\/((-2)\/6).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5086931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 526, 5, 87 in decreasing order.\nAnswer: 526, 87, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.315436 take away -82.9?\nAnswer: 84.215436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.087 (b) 90 (c) 3 (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 642.\nAnswer: 47508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -733 + 730. Which is the second biggest value? (a) -5 (b) r (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (-4 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 + 10*k**4 + 16*k**3 - 24*k**2 = 0. Calculate k.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 296245 to the nearest 1000.\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696702641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 88.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2560 + 26517. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199.2 - 179. Let i = 24.35 - o. What is i rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -146, -292, -438?\n\"Answer: -146*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0544455ns to seconds.\nAnswer: 0.0000000000544455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egjjx. What is prob of picking 1 x, 1 e, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 47429?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Suppose 29 = 3*m - m - a*k, 13 = m - k. Calculate the greatest common divisor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137077 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058500818 rounded to three dps?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7.\nAnswer: 2*z**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 378, 561, 742, 921, 1098?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgggguuuwu. What is prob of sequence ugr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/r)\/r)**(-33)\/((r\/r**48*r)\/(r**(-10\/11)*r)) assuming r is positive.\nAnswer: r**(5295\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3276993 is divided by 240?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**8\/1176 + 2*f**7\/105 + f**6\/10 - 4*f**5\/21 - 107*f**4\/84 + 30*f**3\/7 - 1193*f**2. Suppose m(d) = 0. What is d?\nAnswer: -9, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by -34?\nAnswer: -129\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q + 498 + 718 = 66 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.076 (b) 5\/19 (c) 2\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 3283913.2.\nAnswer: 3283916.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 69 = -78*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i*i**8)\/((i\/(i**(-25)\/i*i))\/(i*i**(3\/19))) assuming i is positive.\nAnswer: i**(-187\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274331*s**2*t**2 - 4*s**2*t - s**2 + 16913*s + 793*t**2 - 15 wrt t?\nAnswer: 548662*s**2 + 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Suppose h = 4*h. Suppose 4*i + h = 8. Solve -5*j + 3 + f = -3*k, -4 = -i*k - j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w**5 - 7829123*w**4 + 805*w + 39526.\nAnswer: 120*w**3 - 93949476*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-8) - (1 - (-4)\/(-2)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 + -0.15349?\nAnswer: 157.84651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.015 + 3.515. Let r = -4 + a. Let c be (-4)\/2 - (-14)\/8. What is the third biggest value in -4, r, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-6\/5)\/l*l)**28)**(-18\/11))**(-2\/5) assuming l is positive.\nAnswer: l**(-6048\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 528293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0*z**2 - z - 7\/36*z**4 + 0 - 1\/9*z**3. Solve t(m) = 0 for m.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 1 + 1 = g, -4*g + 9 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1334*o + 376*o**2 - 669*o - 665*o as s*o + a + t*o**2 and give t.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/49 - 10\/(-14). Determine j, given that -11*j**3 - k + 4*j**4 + 7*j - 3*j**2 + 3 + 4*j**3 - 3*j**2 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/17420112 and 53\/28307682?\nAnswer: 226461456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*j + 25498 = 469*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:23 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = -10*a - 150 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m + 14. What is w(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -311 in -3, 0.16, -2\/9, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/56 and 11\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o + 5*l - 35, 2*l = o + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohoooogoohgoogo. What is prob of picking 3 o?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/90 - 34*h**3\/45 - 15*h**2 - 223*h - 3. Suppose v(f) = 0. What is f?\nAnswer: -25, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -29699.\nAnswer: 5\/29699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 119 = 12*h + 71 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5599888 = 37*u - 1193997 - 217948. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.188 + 0.2. Let o = -0.052 + t. Let h = -3.36 + o. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9d + -1a208a?\nAnswer: -1a2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14910 is divided by 6692?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11430)\/(-7620))\/(153\/60).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 74*t - 22494. What is a(308)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22003 (base 5) to base 2.\nAnswer: -10111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.8 - 6. Let r = 0.18 - a. Let x = 0.3800031 - r. What is x rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:57 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -26. Let z = -0.742 - -0.242. What is the second biggest value in 3, -4\/3, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)\/a**2 assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a = 460 + 247 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 11*j**2 + 0 + 0*j + 0*j**3 + 11\/60*j**5 - 1\/40*j**6 + 0*j**4. What is the third derivative of s(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooqoooqoooooq. What is prob of sequence oqqo?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {p: 3, l: 1, d: 10, u: 3, o: 2}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 470.2548 to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 117632?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 2, -8\/7, -0.2, -25, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14117)\/(-20) + 4\/10. Let m = 716 - n. What is the common denominator of 6\/2 + (-203)\/145 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4045494 is divided by 1348491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(10\/(-20)). Let m = 7 + r. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 2*o**3 - 30*o - 3*o**4 + 28*o - 3 in the form p*o**3 + t*o**2 + h + j*o + w*o**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -i + 2, -2*x = -31*i + 33*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:24 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-2)\/(0 - 1). Suppose g*y + 4*j - 4 = -2*y, 3*y - 6 = -2*j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 8*q - 26. What is b(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9369 and 7566.\nAnswer: 23628618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**3 - m**2 - 12*m + 83. Let w(b) = -b**3 + b**2 + 2*b - 12. Let r(l) = t(l) + 7*w(l). Suppose -3*f = 3*o + 15, -2*o + o + 2*f = 2. Calculate r(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + b + 1192, 2*i + 586 = 4*b - 2*b. Let t(d) = 12*d**2 - 2*d - 4. Let j be t(4). Let m = j + i. What is m rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/282965? (a) -0.4 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*33*30\/(-330)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 113. Suppose 5*u - 10 = -5*a, 2*u - v*u + 2 = a. Solve -7*c + 2*c - 10 = u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r - 1. Let j be t(1). Suppose -i = j*i - 64. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = -3*h. Suppose -225 = -178*d + 153*d. Calculate the remainder when d is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 plus -67.3?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 180. Solve z = 2*q + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**3 - 44*o**2 - 144*o - 144 = 0?\nAnswer: -6, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -477005 + 6195466\/13. Let u = 431 + s. Solve 2\/13*o - 2\/13*o**2 + u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 50. Let k = h - 0. Let x(g) = g**3 - 10*g**2 - 9*g + 38. Let u be x(11). Calculate the highest common divisor of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 35. Factor 6*o**2 + o**3 - 3*o**5 - x*o + 10*o + 11*o**3 - 6.\nAnswer: -3*(o - 2)*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 40*m + 3. Let j be d(-8). Suppose 9 = -0*k + j*k. Solve -k*b = -6 - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 726 in -3, -5, -10\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2051 and 1172.\nAnswer: 8204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.06797667\nAnswer: -0.33988335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 7*v + 2. Let z be j(6). Let n = -29883\/3610 - 8\/361. Find the common denominator of z\/2 - 44 - 1 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 926.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 5, 3, -0.3, -0.08?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62176 by -4.\nAnswer: 15544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 4. Let y = 7 + -4. Calculate the remainder when 4*(0 + 2)*a is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -471 - -476. Solve -3*l + 23 = -5*s - 0, p*l = 5*s + 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39933.674945 - 39934. Let i = 0.325 + d. What is i rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-1 + 0)*52. Let g = c - 4. Let s be g - (-2 + -1)\/3. What is the highest common divisor of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3714\/7, 1\/6, -0.4, 40, -2 in descending order.\nAnswer: 3714\/7, 40, 2, 1\/6, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -156, 43, -2\/533, -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 21*n**2\/5 + 99*n\/5 - 27.\nAnswer: (n - 15)*(n - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 12. Let g be p(2). Let x(l) = -472*l + 472*l - 2*l**g. Let o(k) = -2*k**2. What is x(o(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3978 and 83980.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45345.\nAnswer: 3, 5, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 12 = 11*d. Let i(v) = -v**3 + 6. Let x(p) = 1. What is d*x(m) - i(m)?\nAnswer: m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 + 1)*(-111*o + 21*o - 31*o + (-3 + 3 - 1)*(-1 + o + 1) + o - 2*o - 3*o).\nAnswer: 252*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5 = 3*v, -33 = 4*v - 4*l - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*s - 20, 5*s + 3*y = 2*s - 15. Suppose -5*n + 0*n + 155 = s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -3*r + 5*r**2 - 19 + 15\/4*r**4 - 5\/4*r**5 - 35\/6*r**3 + 1\/6*r**6. Find f such that u(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149\/182 - -1\/26. Let w = 106 - 94. Let j be 10\/75 + ((-8)\/w)\/(-1). What is the closest to 0.1 in c, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 130 (c) -4 (d) -3\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1391379902 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4 - 4145*m**3 + 703020*m**2 + 67540480*m - 68239360 = 0. What is m?\nAnswer: -68, 1, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2128921 (b) -2\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 12. Let i be 700\/15*(-3)\/(-2). Suppose -105 = -5*a + b, -5 = -3*a + 3*b + i. Solve -w*s = -0*s - a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 13*y + 25*y = 12915. Calculate the greatest common divisor of 123 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/48*-4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - -9 - 9) - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/((-24)\/4)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 bigger than -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*w**3 + 29*w**3 + 69*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2*q - 1. Let s be f(-3). Find the third derivative of u**3 - u**s - 2*u**3 + 2*u**3 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 14. Suppose 0 = h + 4*m + 46, 26*h + 388 = 312*m - 315*m. Which is bigger: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(12)\/(sqrt(4) + sqrt(100))))\/(-5*(sqrt(396) - -1*sqrt(396))).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 34 (b) -1\/5 (c) 2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*u = -17, -5*a = -4*a - u + 6. Put -4, a, 5 in decreasing order.\nAnswer: 5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.4 - 1.4. Let t = -384 - -521. Let y = 136 - t. What is the nearest to y in -0.1, i, -1\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -304*s + 1219. Let n be v(4). Solve -a - n*p = -19, -a - 7 = a - 3*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**3 + 70*p**2 + 1435*p - 1500 = 0?\nAnswer: -12, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 332954, 332957, 332960?\n\"Answer: 3*u + 332951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 13 (b) -0.1 (c) 0.2 (d) 2114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.6063 millilitres to litres.\nAnswer: 0.7826063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z**2 + 7560*z - 56916 = 0.\nAnswer: 102\/13, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1201826, -1201828, -1201830, -1201832?\n\"Answer: -2*d - 1201824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjpj when four letters picked without replacement from jjjjjpp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 17858 - 47120. Let u = 43946\/9 - m. Find the common denominator of u and 24\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 n, and 1 b when four letters picked without replacement from {n: 8, y: 5, b: 4}?\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 - 5*p + 10. Let n be c(4). Let z be (-9)\/6*(n + -14). Is z != 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.167 - -36727223?\nAnswer: 36727231.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 less than -0.08435247641588?\nAnswer: -0.01735247641588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*u**2 - 1 + (2 - 2 - u)*(-4*u + 3*u + 3*u))*(-3*u**2 - 4*u + 4*u).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14484 = -12*m + 36468. What are the prime factors of m?\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -15. Suppose -1 - q = -o. Suppose 2*r = o + 14. What is the remainder when 54 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-369972)\/215817)\/(((-6)\/140*-2)\/((-2)\/(-5)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58242748 by -856511.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:04 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100100110111 (base 2) to base 13\nAnswer: -10c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 23*o + 3. Let i(v) = -4*v**2 + 12*v + 1. Let l(g) = -11*i(g) + 6*k(g). Let t be l(-4). Let f = 18 - t. Solve 3*c + f = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((1 + 0)\/(-1)). Let h(r) = -4*r - 36. Let i(t) = 4*t + 24. Let m(j) = -4*h(j) - 6*i(j). Determine m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/9 (b) 1\/3 (c) -0.01 (d) -2\/15 (e) -2\/7 (f) 4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**5\/20 + i**4\/12 - i**2\/2 + 3*i. Let f be c(-1). Is (f*50)\/(-4 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26552, 26558, 26564, 26570?\nAnswer: 26576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1362240 and 2288?\nAnswer: 17709120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 (base 12) in base 16?\nAnswer: 4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-3 - -59)\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15399\/4698 - (39\/6 + -3). Which is the closest to 0.3? (a) 0 (b) r (c) 2\/11 (d) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from gbdbwuwbubuuedube?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*p**3*x**3 - p**3*x**2 - 1122*p**3*x + 9646*p**2*x**3 - 288*p**2*x wrt p?\nAnswer: 1200*x**3 - 6*x**2 - 6732*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-8) - 498\/(-4). Let q = c - 49. Suppose -2*y + 2 = -q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23596703\/132 - -178764. Calculate the common denominator of -55\/84 and c.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3685747562 to the power of 1\/2, to the nearest integer?\nAnswer: 60710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 154 - 130 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -52229*-4.34\nAnswer: 226673.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.642 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -67913?\nAnswer: 67918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -2\/6801 (c) -2\/17 (d) -2\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000278503978 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6578\/6 - -1)*-3. Let q = 59281\/18 + w. What is the common denominator of q and ((-1150)\/130)\/(-23) + 3\/2?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:53 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 33 = -2*a, -4124*v + 4119*v - 41 = 7*a - 3*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**0\/z*z)\/z)**4*(z**(-1\/8)*z)\/z**(-9))**17 assuming z is positive.\nAnswer: z**(1343\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5b01 (base 15) to base 5.\nAnswer: 130024401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 3*x**3 - x)*(-5*x + 3*x + x).\nAnswer: -3*x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 4 (b) 1 (c) -26 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:53 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 477*f - 466*f - 2255. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -136, -334, -652, -1114, -1744?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 39 = -5*v + 3*v, 3*v + 31 = -i. Let r = v + 14. Suppose 0 + 2\/5*p**r - 1\/5*p - 1\/5*p**3 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -404.58 and -421847?\nAnswer: 421442.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*d - 1575, 2*j = d + 1785 - 174. What is the greatest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(78)\/sqrt(6))**2*-2 + 0)*4.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 18*c**2 - 37*c + 11. What are the prime factors of l(-6)?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.3 + -22.073. Let x = -859083 - -859082.7730246. Let l = x + v. Round l to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2601 bigger than -2714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076295?\nAnswer: 5, 13, 17, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223512388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -229. Suppose 0 = -5*t + 22 + 38. Let m = t + s. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4641 + 1181. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/7754 and 1\/476?\nAnswer: 1845452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f - 15*f**2 + 21*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 3*c + 3. Suppose m + t - 3 = -1, -2*t = m. Let b(d) = -2*d**3 - 4*d - 4. Give m*j(p) + 3*b(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*g + 41*g + 39*g as c*g + u and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 1.2. Let f = -107 + 107.89. Let m = f - z. Round m to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1581\/1847?\nAnswer: 1581\/1847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 9*h + 211 = 12*i, 175 = -11*i - 5*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xooo when four letters picked without replacement from {o: 3, x: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 4. Let v be a(-8). Let r(u) = -u**2 - 4*u + 2. Let o be r(-4). What is the nearest to 1 in v, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134359473, 134359471, 134359469, 134359467?\nAnswer: 134359465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.9372 + 0.0428. What is l rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - i. Let j(h) = 14*h**2 - 4*h + 13. Let t(d) = -j(d) + 4*n(d). Calculate t(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 6, -7 in increasing order.\nAnswer: -7, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2962 and 10305?\nAnswer: 30523410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -100*p + 57. Is u(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152873\/5 at most as big as -30574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34700\/3 - -11566. Which is the closest to i? (a) 2\/15 (b) -25\/3 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-6)\/18. Let m(i) be the second derivative of -i**4\/12 - i**3\/2 + i**2\/2 + i + 7555. Let h(y) = y. What is d*h(l) + m(l)?\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/76600 and -55\/21448.\nAnswer: 536200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 19*a + 12. Calculate z(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/9 + 1720*j + 30968\/9 = 0.\nAnswer: -2, 7742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:00 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/296450 and -97\/26950.\nAnswer: 296450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*g - 27*g - 29*g)*(-g**3 + 3*g**3 + 0*g**3) - 66*g**4 - 14*g**4 - 14*g**4.\nAnswer: -92*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -211, 4.1 in decreasing order.\nAnswer: 4.1, 4, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-715)\/(-143) - (1 - 3363). Calculate the greatest common factor of 91 and n.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 393\/618 - 5\/(225\/30) and -34\/515?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576883789 and 2383.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-13689)\/25857)\/((-4)\/(-17))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -131, -17, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 13*n**7\/105 - n**5\/2 - 5*n**2. What is the third derivative of t(u) wrt u?\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 + 21. Let b be a(0). Suppose -w + 4*w - b = 0. Let f(v) = -v + 1. Let y(j) = -j**2 + 2*j + 8. Let k(u) = 6*f(u) - y(u). What is k(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2370)\/4 - -7)*-2?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:21 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2145551900421397.19999882 - 2145565394351037.2. Let w = -13493929778 - q. Let n = 138 + w. What is n rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -13. What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.284+3941474585608\nAnswer: 3941474585608.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 904c (base 16) in base 6?\nAnswer: 443004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-4 - -3)\/(-3)). Solve -w*i + 0 - 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.36864nm in meters?\nAnswer: 0.00000001136864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*h - 6 = 2*y, 2*y + 6 = 5*h. Let g = y - -7. Suppose -3 = u - g*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2997302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3 + 5. Let m be 1*(n + -11 + 3). Let x(r) = r**3 + 3*r**2 - 4. Let c(k) = k**2 - 1. What is m*c(h) + 2*x(h)?\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3 + 3 + 4*p. Let c(g) be the third derivative of g**5\/20 + 23*g**3\/6 - 41*g**2. Let o(l) be the first derivative of c(l). Give -7*b(a) + 5*o(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 - 13*v**2 - 8*v + 374. What are the prime factors of p(12)?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27098 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47937 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -d + 3*k, 0 = -4*k - 20. Let 8*i**2 - 5 - 3*i**2 - 22 - 10*i - d = 0. Calculate i.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:23 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = x + u, -3*x + 54 = -3*u. Suppose x = 4*y + 2. Which is greater: 0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1042 and 334?\nAnswer: 174014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m*(m\/((m*m\/m**(-10)*m)\/m))\/m assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*i + 40*i - 20*i in the form w*i + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(80\/(-32)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 750.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - 1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 242*w**2 + 448*w. Let o(y) = -240*y**2 - 446*y. Let h(m) = -4*a(m) - 5*o(m). What is the second derivative of h(j) wrt j?\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22228 is divided by 52?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2282 - -2291. Suppose -3*r = 2*s - 327, 5*r - 2*s = -304 + 865. What is the second derivative of 100*n - 201*n - z*n**3 + r*n wrt n?\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -489 or -491?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -217, -189, 19, 1?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*w + w**2 + 0*w**2 - 4*w**2 + 2*w**2.\nAnswer: -w**2 + 231*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205005566 - 4?\nAnswer: 205005562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*u = -5, -26*p - 3*u - 31 = -21*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/85 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -3\/260*r**6 - 35 + 0*r**3 + 0*r**4 + 1\/2184*r**8 + 0*r + 1\/455*r**7 + r**2 + 1\/78*r**5. Factor u(q).\nAnswer: 2*q**2*(q - 1)**2*(q + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 112 = 5. Let x be (-10)\/(-65) - (-961344)\/g. Is 2\/11 - x\/(-187) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 10963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76952 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**3 + 23*r**2 + 2. Let q(b) = 5*b**3 + 17*b**2 + 3. Let v(f) = 2*o(f) - 3*q(f). Let g(m) = m**3 + m**2 + 1. Calculate 5*g(l) + v(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 31*k - 4. Give f(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5 + 213*j**4 - 5166*j**3 + 45402*j**2 - 58719*j - 109503 = 0. What is j?\nAnswer: -1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -6. Let u = -934 + 929. Sort -3, q, u, 1 in descending order.\nAnswer: q, 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 13.02. Let x = u - 0.43. Let y = x - 0.05. Which is the second smallest value? (a) 1\/7 (b) 1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 - 7*l - 12*l - 2*l. Suppose 0 = 3*n + 2*j - 7*j - 104, -n - j = -40. Suppose n = 9*b + 47. Give i(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*(0 + -1) - 2. Let d = 15 - g. Suppose -1464*l + 1469*l - 10 = 0. Solve 10 = d*q, 3*n - 2*n - 13 = -l*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122816 is divided by 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*k = s - 6164, -3*s + 4*k = -4637. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 55 - 2017 = -2*k, 0 = j - k - 1947. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 4, -5, 3, -3 in ascending order.\nAnswer: -5, -3, 0, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -2\/377, -1, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26585 - 26711. Let o be (1 - 3)\/(-2) - -117. Let l = o + a. Is l >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 5*m + m)*(-52 - 51 + 95) to the form j + w*m and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*m - 3 = -5*d, -2*m - 2 = 0. What is the closest to 0 in 1\/5, 5, 3, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56b + 1?\nAnswer: 56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 - 79)\/13 - (-25)\/3. What is the nearest to 12 in c, 5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:44 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let m(j) = 3*j - 75. What is d(m(k))?\nAnswer: 9*k**2 - 450*k + 5625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**3\/6 + 7*u**2\/2 + 15*u. Calculate s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 764?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -db9?\nAnswer: -daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -5*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 453, -2803\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*n - 15893 + 14573 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110101000 (base 3) to base 14\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - w**2 + 0*w**2 - 2 - 13*w**4 + 27866*w**3 - 27863*w**3 to the form s*w**4 + k*w + y*w**3 + r*w**2 + x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + d = 108, -u = -6*d + 4*d - 18. Suppose 5*r = 10, 3*r - u = -5*x - 0*x. Put 2, x, -2 in decreasing order.\nAnswer: x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 - 3489 = -6*z. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i**2 - 2*i + (4*i + 0*i - 3 + 1)*(4*i - 3*i + i) - i**2 - i**2 + 0*i**2.\nAnswer: 5*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 4*y**4 - 8*y**4 + (-1 - 4 + 4)*(0*y**4 + 4*y**4 - y**4) + (y**3 + 4*y**3 - 4*y**3)*(0 + 0 - 2*y).\nAnswer: -14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.023 + -4.023. Put 2\/11, -0.4, x, 23 in ascending order.\nAnswer: x, -0.4, 2\/11, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4788639 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*d + 18. Is (12\/8)\/(d\/56) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 + -132. What is the nearest to -1\/5 in 0.1, k, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 36934561*a + 36934561*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 - 0.6. Let p = 0.43194 + -0.63194. Put p, -0.1, h, -4 in decreasing order.\nAnswer: h, -0.1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -4. Suppose 12 = 4*t - h, -3*t - 2*h + 12 = t. Let q = t + f. What is the closest to 2 in -2\/7, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11093 = 61*u + 11154 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 1) + 4 + 7. Suppose -4*h - j = -7*h. Let p be (h + 0 + 23)\/(1\/(-12800)). Round p to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/7, 0.03946743 in descending order.\nAnswer: 1\/3, 1\/7, 0.03946743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42463 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/63 - -59\/126. Let v = -4.6 - -4.3. Put v, -1\/2, q in descending order.\nAnswer: q, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 323810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1085, -1117, -1143, -1157, -1153?\n\"Answer: b**3 - 3*b**2 - 30*b - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/((-13515)\/(-742))*(-3)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2*(-2 + 5). What is the remainder when (21\/g)\/((-3)\/(-27)) is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12*h = 32. Let i be 93\/186*(-2)\/(-1). Solve 7 = -2*d - 3*f, h*d + 13 - i = 2*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10430, -10447, -10490, -10571, -10702, -10895, -11162, -11515?\n\"Answer: -2*n**3 - n**2 - 10427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.99 - -7.96. Let l = 3.97 - s. Which is the second biggest value? (a) -5\/4 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**10\/1008 - m**6\/45 + 3*m**4\/2 - 7*m. Let q(u) be the third derivative of f(u). Find the second derivative of q(d) wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 633, 4440, 14233, 32832, 63057, 107728?\n\"Answer: 470*b**3 + 173*b**2 - 2*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 490 = -89. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21000*c. Let u be l(-2). Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-25)\/40)\/(196\/(-112)))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 8125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21945 = 167*u - 832*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1872*l**5*q**2 - 138*l**3*q**2 - l*q**2 + l*q + 1350*l wrt l?\nAnswer: 37440*l**3*q**2 - 828*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or 67?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 + -29 + 82 - -58.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1211220 (base 6) to base 11\nAnswer: 43a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xma when three letters picked without replacement from mxxxammaaxaxamaxa?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 7) to base 13.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001745508172 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 441 and 1?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxppuunuhh. Give prob of picking 3 u and 1 n.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -9 (c) -1.4 (d) 2715 (e) -0.3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 803161 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00167321 rounded to 5 decimal places?\nAnswer: -0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 5. Let r be u(-6). Let d = r - -3. What is the smallest common multiple of d and (21 + 1)\/(3 + -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149205 by -25.\nAnswer: -29841\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z + 2500 = -28*z + 18*z - z for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)\/(g**(4\/11)*g))\/(g**(-1\/12))**(-20) assuming g is positive.\nAnswer: g**(-1634\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187754694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 + 3*t - 5. Let d be g(3). Let i be (-6)\/d*(-25)\/(-15). Solve -7*w = -i*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(36\/378)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 986397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 2508 = 50*q for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-41)\/(-7) - (-32)\/224. Find the common denominator of -83\/18 and ((-20)\/(-66))\/((-12)\/m).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 42 = -3*f, 2*o + 36 = -4*f + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-42) - 7)*((-1128)\/48 + 20)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*d**2 + 862*d**4 - 866*d**4 - 48*d + 9*d**3 - 37*d**3.\nAnswer: -4*d*(d + 2)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 30 = 2*c - 6*b, -4*b = c + 11. Suppose -31 - 27 = -2*f. What is the third derivative of -23*k**2 - f*k**4 + c*k**4 + 6*k**4 wrt k?\nAnswer: -432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7462 is divided by 535.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 40*w - 50. Let d be i(2). Solve -5*b + 5*k + d = 0, 2*k - 12 = -3*b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6179*t + 32625 = 6075*t - 11819*t for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 259715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 + 235. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 1. Let h = 45 + -46. Let x(t) be the first derivative of t**2 - 3*t + 2. Calculate h*x(w) - 4*o(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12*y. Let v(p) = 1. Let i(k) = -n(k) + 2*v(k). Suppose 4*f + 4*a + 30 = -15*a, 5*f - 8 = -a. Calculate i(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/64*((-54)\/(-45))\/((-2)\/10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (790544\/48)\/(5\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1071*f + 918*f - 9333 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, c: 4, g: 5, w: 7}. Give prob of sequence wc.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005167683 to 5 decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 840?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 121.2 * -39\nAnswer: -4726.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 15*h + 10*h + 2*h - 7*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67028210.\nAnswer: 2, 5, 23, 113, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21726 + 35.9122?\nAnswer: -21690.0878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2663, 2668, 2683, 2714, 2767, 2848, 2963, 3118?\n\"Answer: k**3 - k**2 + k + 2662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.411 * 0.593.\nAnswer: -2.022723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 949 and 137501.\nAnswer: 10037573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -5049484.\nAnswer: -5049485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*l - 4*x - 12, 0 = 3*l + 4*x - 9. Suppose 0*p = -l*y - 2*p + 12, p - 1 = y. Factor 1 + 2*f + y*f**2 + 3 - f - 7*f.\nAnswer: 2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.317 > -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/7 + 12\/(-42). Calculate the remainder when 1120 is divided by (198\/10)\/(m\/(-500)*-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ykqykqwwqwqqqyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 231, 764, 1801, 3510, 6059?\n\"Answer: 28*t**3 + t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -38. What is the remainder when y is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1947107383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1424 + 2460. Let v = -737 + j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 11 = 5*z - 14, -5*z - 5*g + 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 921472094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141354973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r = -67*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8698, -8646, -8594, -8542, -8490?\n\"Answer: 52*l - 8750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 4*t**2 + 2*t + 77 - 35 - 35 to d*t**2 + x*t + k and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 8*m - b + 6, -2*b - 18 = m. Does 14 divide (-489)\/12*-4 - m\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/20)\/(6\/8). Let y(z) = 2*z**3 - 8*z**2 + 16*z - 4. Is 15 a factor of y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63999 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40331 (base 6) to base 7.\nAnswer: 21325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1081 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.061 and -45522732.\nAnswer: -45522731.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i + 23. Let s(c) = -18*c - 93. Give 22*b(y) + 6*s(y).\nAnswer: 2*y - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**5\/2 - x**3\/3 - x**2\/2 - 181*x + 84. Let g(c) be the first derivative of d(c). Calculate g(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -258 - -259. Let n(s) be the first derivative of 38*s**3\/3 - s**2\/2 + 2*s + 2. Is n(p) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-3*d - 2*d + 4*d + 2).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -23. Let c = f - 25. Suppose -10 = -2*u + 3*w, 12*w = -u + 9*w - 13. What is the biggest value in c, u, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 7 - 2 - 15)*(-1 + 1 - 2*h)*(-233*h**2 - 128*h + 128*h) to t + p*h + b*h**2 + d*h**3 and give d.\nAnswer: -13048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -37*a**2 - 10. Let h(l) = -18*l**2 - 22. Let o(f) = -5*f**2 - 6. Let c(j) = -6*h(j) + 22*o(j). What is m(c(p))?\nAnswer: -148*p**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-4 - -34) + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = 13*c - 123 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.25 - -56.25. Let b = f - 60.9. Let d = 6 + b. What is the fourth smallest value in d, 0.17, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -425 - -1461. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5366815 by 3.\nAnswer: -5366815\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-19)\/(-22) - 1)*(-1 - (-715)\/975)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 9. Let c be b(3). Is 2\/37 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 894 + -3?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/31 - (-48)\/744?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w - 31. Let b be n(3). Suppose 0 = 22*v - 18*v - b. Let f(a) = 22*a**v + 4*a**2 + a - a. Let c(o) = 2*o. What is c(f(m))?\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -1.500451.\nAnswer: 1.510451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -295 * -6.113\nAnswer: 1803.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2227, -4\/3, 15, 0.03.\nAnswer: -4\/3, 0.03, 15, 2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**3 - 6*c**2 - 6*c. Let v(h) = 3353 - h**2 - h + h**3 - 3353. Suppose 33*w - 31*w + 2 = 0. What is w*z(d) + 6*v(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4144181 - 4144077.99788. Let a = v - 103. What is a rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744921600 and 57000.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:04 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 24 = 2*s. Suppose -12*c = -9*c - s. Suppose -y - 2*g - 62 = 3*y, c*g = -5*y - 85. Which is greater: y or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770344049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-6)*j*j*((j*j**(-5)*j)\/j)\/j)**(-3\/46) assuming j is positive.\nAnswer: j**(12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1778, -1778, -1784, -1796?\n\"Answer: -3*m**2 + 9*m - 1784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/120 + 31*o**4\/9 + o**3\/36 - 62*o**2\/3 - 4091*o. Let c(i) = 0. What is i?\nAnswer: -1, 1, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = -4*x, -i + 2*i + 1 = -2*x. Let t = -0.24 - 0.86. Let j = 1.08 + t. Which is the closest to -2? (a) -0.5 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/60)\/(2653\/(-1516)))\/((-2)\/630)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + 363*q. Let f(k) = -266*k. Determine y(f(o)).\nAnswer: -70756*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 58. Put t, 5, -2\/7, 0.01 in decreasing order.\nAnswer: 5, t, 0.01, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 22432?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 75*u - 495. Let y(a) = -3*a**2 + 78*a + 495. Let m(n) = -2*v(n) - 3*y(n). Find d such that m(d) = 0.\nAnswer: -5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 361007 and 3.\nAnswer: 361010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5\/5 - 12*i**4 - 64*i**3\/5 = 0. Calculate i.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/20 - 8*o**3 - 61*o**2\/2 - 18*o. Let j(d) = -d**3 + 1. Let u(x) = -i(x) + 3*j(x). Find r such that u(r) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*m - 2*v, -m - 2*v - 18 = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -p + 7, -a + 3*p + 2*p = 23. Suppose -a*z + 56 = -m - 31, z - 30 = -4*m. Suppose 0 = k - 4*k + z. Solve d - 6 = 4*q, 4*d + k = -0*q - 3*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -103. Solve -10 = 2*q - 7*q, -3*k = v*q + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 1. Let r(v) = -v - 2. Let x(b) = b + 4. Let n(o) = 9*r(o) + 4*x(o). Let u(t) = -2*t**3 - t**2 - 11*t + 11. Let q be u(1). Give q*l(f) - 2*n(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7947018, 15894040, 23841062, 31788084, 39735106?\n\"Answer: 7947022*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 412 = -9302. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8175*p**3 - 80 + 27000*p**3 + 80.\nAnswer: 35175*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 6717997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 444 - 439. Let u be ((-22)\/n)\/(30\/(-1725)). What is the greatest common divisor of u and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*x - 2, -3*x + 9 = -3. Suppose 2*n - 6 = -0*n. Suppose -j + 33006 = c*r, 0*r = -j + n*r + 32994. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r + 7*r - 177 - 10*r + 10*r + r**2 + r. Calculate w(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 8907992.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**3 + k**2 - k - 6. Let d(w) = 26*w**3 - 3*w**2 + 3*w + 17. Let i be (-55)\/(-15) - 2*84\/(-72). Determine i*d(h) + 17*m(h).\nAnswer: 3*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**8\/84 + 2*m**7\/35 + 7*m**6\/30 - m**5 - 3*m**4 - 13*m**2. Determine t so that o(t) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104.7 - -112. Let p = -8.5 + v. Let o = 1.3 + p. Put 3, o, -0.1 in decreasing order.\nAnswer: 3, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(88) + (sqrt(176) + 2*sqrt(176) + sqrt(176))\/sqrt(8)))\/((sqrt(2) - sqrt(128)) + sqrt(72)*-6).\nAnswer: 48*sqrt(11)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 + 7*n**4\/12 - n**3 + n**2 - n. Let f be ((-63)\/(-7) - 10) + -5 + -1. What are the prime factors of w(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*l + 4*j, 24*l = 19*l + 4*j + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1202?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21150 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - t + 1138. Let c be q(0). Let y = 5708\/5 - c. Find the common denominator of y and -41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3824232 and 102776235?\nAnswer: 822209880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, y: 1, x: 3, l: 2, i: 6}. Give prob of sequence lpyl.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Suppose -2*l - 6 = g, -z*l + 31 + 74 = -5*g. Let y = g + 27. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 633 + 237. Calculate the highest common factor of 2750 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/21797 and 61\/24850.\nAnswer: 7628950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101401411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (sqrt(2299) + -1 - sqrt(2299) - sqrt(114)\/(sqrt(6) + sqrt(6)*1)))**2.\nAnswer: -115\/4 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18\/5 - -56\/15. Let d = -808\/5 - -161. What is the biggest value in d, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41456 (base 9) in base 11?\nAnswer: -19602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l - 2*l)*(-2852*l**4 + 918*l**4 - 832*l**4).\nAnswer: 5532*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r + 2*r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*k + 179*k - 112*k.\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5175069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 57 = 4*z - 109, 4*z = 3*x + 162. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1388\/(-3))\/(187\/33 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0*d + 0*d + (-4205 - 7*d + 4205)*(2*d - 6*d + 0*d).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 98 = 92. Let n be (-72)\/(-2)*(-2)\/(-4). Factor 2*k**4 + g*k**4 + n*k**3 - 3*k**3 + 2*k**2 + 8*k**2.\nAnswer: 5*k**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345*i**2 - 2*i + 1340*i**2 - 2676*i**2.\nAnswer: 9*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 7. Find the common denominator of h(-3) and (1 - -12)\/((-50)\/(-125)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1815 + -0.0257. Let z = -0.2 - q. Round z to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -5, 0, -3\/5, -1\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)**(-3\/32)*c**(-1\/3)\/c*c*c**(-8)*c*(c**7\/c*(c\/(c**9*c))\/c)\/(c\/(c\/c**(-5))*c**1*c) assuming c is positive.\nAnswer: c**(-409\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*v - 4. What is the closest to -1 in v, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -165 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24661232 to the nearest integer?\nAnswer: 4966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2573 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = 30. Let m = r + -7. Let c be ((-3)\/m)\/((-1)\/(-2)). Is c less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*w - 30 = 0, 5*r - 7*w = -5*w - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*c - 8758 = -1999*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*c**3 - 2*b**2*c*q**2 + 10*b**2*c*v**2 + b*c**3*q**2 + 3*b*c**3*v**2 + b*c**2*q*v**2 + 4*c**3*q**2*v**2 - c**2*v wrt b?\nAnswer: -2*c**3 - 4*c*q**2 + 20*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 2099774*s**2 + 4199551*s - 2099776.\nAnswer: -(s - 1)**2*(s + 2099776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29\/3 (b) 0.08 (c) 4 (d) -8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3828)\/9075)\/(-58))\/((-10)\/25).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 4*c**2 + 4*c + 3. Let t(m) = -m - 2. Let a be t(-4). Let v(x) = -1 - 9*x**2 + 0 + 8*x**a - x + 0*x. Determine n(k) + 4*v(k).\nAnswer: 2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i\/i**(2\/21)*i))*i\/i**(1\/3)*i)\/((i\/(i**(-11)\/i))\/i*i*i**(2\/9)\/i))**(-5\/3) assuming i is positive.\nAnswer: i**(3040\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 5*t - 73*t - 13*t to p + x*t and give x.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 6813404263?\nAnswer: 6813404271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(-14) - (-11 + 803\/77). What is the nearest to 252\/11 in -0.3, -3\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1256*m + 9. Let z be w(1). Let p = z - 237. What are the prime factors of p?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.569008842 take away 2?\nAnswer: -4.569008842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - 0.1. Let u = -2.6 - -0.6. Which is the nearest to w? (a) u (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + sqrt(70)\/sqrt(90) + -5).\nAnswer: -15 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2780*q + 374 = 2814*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/145 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*u - 60 = 67*u. Solve u*d + 1672 = 1692 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1502543\/990 + -16686\/11. What is the common denominator of t and -17\/1602?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + -9 + 10 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 5.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - 11.01. Let m = -4152 + 4146. Which is the second biggest value? (a) q (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 6*k**2 + 0*k**2)*(3*k - 3*k + 4*k).\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -9, 19\/8 in descending order.\nAnswer: 6, 19\/8, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9*x - 288 = 0. Let v(h) = 22 + 19 + x*h - 22*h. Let j be v(-19). Solve -j*r + 9 = 0, 0*n - 1 = 2*n - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6634 - -1.7634. Which is the closest to d? (a) -39 (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 + 15 = 3*h, -h = -4*w - 1. Calculate the remainder when 24 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 55*u + 505 - 194 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 - 5*d**3\/3 + d**2 + 5*d - 1. Let w be f(-5). Does 5 divide (1 - -5) + (-10)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -30*f - 31. Let t(n) = -n + 1. Let z(d) = -12*d. Let o(w) = 6*t(w) - z(w). Let q(x) = -2*m(x) - 11*o(x). Give q(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7436 + 1554 = 2*q, -2*q - 14699 = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 20 = -r. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r + 133. Calculate v(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44557181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-34)*i**(-9)\/(i*i**5) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/(-115) - 78\/135. Which is the nearest to w? (a) 3 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4478*4\/(-32) - (-1)\/4. Calculate the greatest common divisor of 35 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhlovohololvllovl. What is prob of picking 2 v, 1 h, and 1 o?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14 and 21\/47156.\nAnswer: 330092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 368\/32 + 3\/(-2). Suppose -25 = -5*l + 5*g, -r = -6*l + 2*l - g. Suppose -i - 1 = -16. Solve -i = l*t, -t = 5*z + 6 + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16*2\/(2\/7). Suppose -2*u + 3*p - 232 = 0, 3*u - 69 = -3*p - 387. Let n = u - q. Solve 0 = -o - n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577775948?\nAnswer: 2, 83, 1740289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 146*j**2 + 1828*j - 1680.\nAnswer: -2*(j - 10)*(j - 1)*(j + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4 - 7569*o**3\/2 + 133218*o**2 - 2378589*o\/2 + 561816 = 0.\nAnswer: -1296, 1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25071, -50372, -75923, -101724, -127775, -154076?\n\"Answer: -125*x**2 - 24926*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 3*i + 3. Let n be y(-3). What is the units digit of 25\/3 + (-10)\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-9 - (-1 + -1)). What is the first derivative of 15*n**2 - 5 - 8 + g - 8 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y**2 + 0*y**2 + 0*y**2)*(-1 - 3 + 5) + 37*y**2 - 392*y + 392*y)*(-3*y + 0*y + y).\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 3734128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4028841*x**3 + 3999912*x**2 wrt x?\nAnswer: 24173046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48992*l*y**4 - 7*l*y**3 - 37925*l*y - 3*y**4 + y**2 wrt y.\nAnswer: -1175808*l*y - 42*l - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 7*r + 8. Let x be f(-6). Suppose 0 = -4*p + 3*m + 25, 5*m = -x*p + 37 + 8. Let u be (3 - 3)\/(2\/2). Solve u = -4*a + p + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from ollyyyyllllplyw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:18 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b - 13*b + 17*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3640)\/160 + 7 + -4 and 1 + -1 - 170\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -14) + (23 - 13 - -45).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*k + 4. Suppose 2 = 5*l - 3. Solve 2*p = -k + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1506 and 4638.\nAnswer: 1164138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 f when four letters picked without replacement from dfxfkfkffkkfkxx?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c + 1. Suppose 24812*o + 60 = 24815*o. What is the lowest common multiple of o and r(1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1332960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) -0.5 (c) -0.1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/14 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + o**2 - 6*o**4 + 2628*o - 60 - o**3 - 2630*o - 3*o**2 to u*o**3 + b*o**4 + l + r*o**2 + x*o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -186. Let o = 325 + g. Let f(n) = -72*n + 1 + 1 - 73*n + o*n + n**2. Determine f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 3*m**5\/20 + 5*m**4\/12 + m**3\/2 - 5*m**2\/2 + 7*m. Let p(s) = 2*s**3 + 3*s**2 + 2*s - 3. Give 3*f(n) - 5*p(n).\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 9:28 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 153218?\nAnswer: 7201246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 613523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29050 is divided by 71.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/33)\/(1\/3). Suppose 0 = y*l + 16, 2*l - 72 = -0*c - 4*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -31*q**4 - 4*q**3 - 3*q**2 + 4*q + 41. Let y(s) = -s**4 + s**3 + s**2 - s + 1. Let r(j) = a(j) + 4*y(j). What is the derivative of r(b) wrt b?\nAnswer: -140*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -19. Let n(d) = d + 6. Calculate the remainder when 46 is divided by n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 315 - -58447?\nAnswer: 5875c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3138*z**2 - 6*z + 5. Let i(v) = -6275*v**2 - 13*v + 11. Let c(p) = 4*i(p) - 9*r(p). Is c(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7*y + 15. What is the remainder when k(-17) is divided by 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*l, 0 = 8*x - 5*x - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-16))\/m)**48\/(m\/(m\/(m*m**13\/m))*m*m)**49 assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -7*q**4\/18 + 50*q**3\/27 + 16*q**2\/9 - 32*q\/9 + 2179. Factor m(j).\nAnswer: -2*(j - 4)*(j + 1)*(7*j - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 5, -1, -71\/29 in descending order.\nAnswer: 5, 1, -1, -71\/29, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 53\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q + 3 - 1 - 3 + 2 to the form k + c*q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*p = 201*p + 6*f - 2*f + 12, -p - 2*f = -0*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*0.2.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**22\/b)\/b**24 assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (16*3\/18)\/((-40)\/(-30)*21\/(-2))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023447937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4 + 57*g + g**2 + 2*g**2 - 58*g. Let h(w) = 5*w**2 - 2*w + 7. Let n(p) = 4*h(p) - 7*y(p). What is the second derivative of n(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*(sqrt(1100) + 1 - sqrt(1100)) - ((sqrt(1100) - (sqrt(1100) + 1)) + -2)) + 5)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381262596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - 16*d**3\/3 - d**2\/2 + 31*d + 32. Let q be g(16). Is 19 a factor of (3 + (-95)\/q)\/((-3)\/99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - 8) + 3 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 26 + 36 + 7*j**2 to the form a*j + p + m*j**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -40\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(1296)*-2 + sqrt(1296)) + sqrt(49)\/(sqrt(35)\/(sqrt(5) - sqrt(45))).\nAnswer: -25*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2 + (-228)\/(-3). Suppose 0*h = 2*g - h - b, -g + 39 = -h. Suppose -g + 14 = -i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84097312*h - 382124228 with respect to h.\nAnswer: -84097312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.2588 - 0.0588. Round b to 0 dps.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 238096*k**3 + 106306032*k**2 + 11821851648*k.\nAnswer: -4*k*(k - 59968)*(k + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1241526670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 566 - 566.000001255. Round l to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1440 = 9*n. Suppose 19*w - 10*w - n = 0. What is the remainder when 92 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -u - 260. Calculate the greatest common divisor of u and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 116, 450, 1006, 1784?\n\"Answer: 111*b**2 + b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 o when four letters picked without replacement from {l: 2, h: 5, o: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q**2 - 2*q - 1. Let v be x(2). Let b be (-77)\/v + (-2)\/5. Suppose -4 + 18 = m - 3*u, -2*u = 5*m + b. Does -1\/3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let h(o) be the third derivative of 7*o**5\/60 - o**4\/12 - o**3\/6 - 3*o**2. Let y be h(z). Calculate the highest common factor of y and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 7*s**2 + 1 + (0 + 0 + 2)*(-2*s - s**2 + 2*s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 (base 10) in base 11?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -3b4?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff + -2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*l**2 - 478 + 6*l**2 + 478 - l**2 - 2*l**2 + l**2 + (4 - 3 - 2)*(-2*l**2 + 3*l**2 + l**2) + l**2 - 2*l + 2*l)*(-2 - l**2 - 3*l**2 + 2*l**2).\nAnswer: -14*l**4 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -105. What is the third derivative of 5*k**h - 6*k - 6*k**2 - 6*k**3 + 9*k**3 wrt k?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-49) + -17 + (-19)\/(2128\/(-6512)) + 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50652980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -11 + 4*a**2 - 8*a**2 + 14*a**2. Let u(c) = 2*c**2 - 4*c**2 + 6*c**2 - 2*c**2. Calculate r(u(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 64. Calculate the remainder when (121 + 5)\/(i - 1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*f + 56 - 10, -2*f + 61 = 5*q. Suppose 0 = -2*z + 5*d - q, 2*z - 8 = z - 2*d. Solve 3*p + 0*k + z*k = 15, -12 = -3*p - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 341237\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, w: 12, h: 6}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 82 - 51*k - 79 + 53*k + 243.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/29, 8, -0.113, 3?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:09 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnmmfmmfmmmmm. Give prob of picking 3 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 11*d**2 - 3*d - 14. Let g(m) = -m + 13. Let f be g(-9). Suppose f = -2*r - 0. Is j(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 0*q + 0*q + (-5*q + 4*q - 2*q)*(-q**3 + 0 + 0) - 12*q**4 + 5*q**4 - 9*q**4.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 38. Let r = g - -21.8. Let y = 3.200057 + r. Round y to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 30\/(-9)) + (-358)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1748, 3415, 5084, 6755?\n\"Answer: p**2 + 1664*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 + 1294*a\/3 + 2596\/3.\nAnswer: -2*(a - 649)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 11:58 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13161, -4 in descending order.\nAnswer: 13161, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102120 + -11?\nAnswer: 102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + 1 + (45 - (-8 - -33)) + 20\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -44. Let m be -1 + k\/52 - (-3)\/12. Let y = 618\/5 - 124. What is the smallest value in y, m, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmrmrmmmmmrmmm. Give prob of picking 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2, -4*o + 20 = -3*f - 2. Suppose 0 = r + a - o, -2*a + 1 = 3*r - 3*a. What is the second derivative of 3*p - 6*p**2 + p**2 + 2*p**r wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026497 rounded to five dps?\nAnswer: -0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:24 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255231 is divided by 143?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 - 19 = 0. Let v be -2*940\/(-5 - q). What is v rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = -4*l, -9 + 1 = -3*y - 4*l. Suppose i - 3*i + 6 = y. Let f(j) = -j**3 + 2*j**2 + 4*j - 3. Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*o - 47600, 4*a - 2*o - 47600 = -0*a. Round a to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*v + v. Let j be v\/27*4\/(-2). Sort j, -1, -3\/5.\nAnswer: -1, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/b**(1\/35) assuming b is positive.\nAnswer: b**(-666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 644552792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 4) in base 14?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*c + 21*c**2 + 6*c**3 + 3*c**3 - 114 + 114 - 15*c wrt c?\nAnswer: 54*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 4*x**2 + 5*x - 4. Let c be n(2). Let i(d) = -d**2 + 8*d - 11. Let m be i(c). Let v(f) = -8*f**2 - 1. Determine v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 7}. What is prob of sequence bxb?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.0148*-1.1.\nAnswer: -4.41628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by -3.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 2 + -1)\/1. Suppose -t = -i, -f*t - 2*t = -i - 12. Calculate the remainder when 5 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -5*c + 3010, -c + 259 = -2*t - 325. Calculate the lowest common multiple of 891 and c.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -54.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*x - 53418 - 81052, 0 = 5*w + 10. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0.4, -7, 4439 in descending order.\nAnswer: 4439, 3, 0.4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (5 - (-7 + 5 + (8 - -1)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 - -9) + 2*1. Let b be n\/24 + 385\/4. Suppose -4*r = -3*h - 232, -5*h - b = -r - 21. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-135)\/(-6)*4\/(-5) - 0. Let c(q) = -q**2 - 20*q + 22. Let r = 355 - 240. What is the remainder when r is divided by c(m)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d - 1. Let l be (-3)\/18 - 74\/(-12). Is h(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -7*w + 51. Suppose 5*c = c - w*o + 60, 3*o + 48 = 5*c. Calculate the highest common divisor of c and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 4, m: 1, b: 2, d: 2}. Give prob of sequence bp.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (79 - 16) + (-9 - (-3 + 1)) - 17?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -24. Let f = v - -14. Which is the nearest to 0? (a) f (b) 0.4 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237333.\nAnswer: 3, 79111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v. Let g(m) = 491*m**2. What is p(g(j))?\nAnswer: -2946*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*i - c + 6*c, 2*i - c = 0. What are the prime factors of i*(4 + 296 + -1) - -1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 815\/8 + -102. Let p = -0.028 - 2.972. Put -1\/4, p, y in descending order.\nAnswer: y, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2517.6 + 2518. Let n = 12 - 7. Let o = n + -1. What is the fourth biggest value in o, 0, y, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, i: 3, x: 7}. Give prob of picking 2 z, 1 i, and 1 x.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1918\nAnswer: -575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 - 15\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1348 - 1303. Suppose -43 = 5*o - 243. Let r = o + s. What are the prime factors of r?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + c786?\nAnswer: c781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16664590 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = 0, -3*s - 26 = 2*a + 10. Sort 5, 0, 2\/5, a in decreasing order.\nAnswer: 5, 2\/5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4515860 and 258000?\nAnswer: 1354758000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 170.8596.\nAnswer: -189.8596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from oohooorrrrhr.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -1*sqrt(95))\/sqrt(5))**2 + (sqrt(19) - (sqrt(171) + sqrt(171) + -1*sqrt(171) + sqrt(171))\/sqrt(9))**2 + -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 0*y + 0*y + (2 + 4 - 4)*(y - y - y) - 3*y + 2*y + 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.1114 millilitres to litres.\nAnswer: 0.5951114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 1012*z**2 - 15806*z - 61740 = 0. What is z?\nAnswer: -490, -9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3037.629971 rounded to zero dps?\nAnswer: -3038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75267\/22 - 3422. Let n = -16 + -1. What is the common denominator of c and ((-21)\/(-28))\/(4\/n)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.7 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/8)\/(2\/(-60)). Suppose -2*b = 3*b - r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220*593.\nAnswer: -130460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 35*n - 33*n + 11 = 0, -30 = 5*a + 5*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + (-11)\/(-10). Suppose -z + 68 = 16*z. Let r be 7 + (-3)\/1 + (2 - z). Is r at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -24507.0188 to the nearest 100.\nAnswer: -24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587385?\nAnswer: 5, 73, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 73996325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7989170.\nAnswer: 2, 5, 7, 61, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 17*q - 4. Let d(j) = -j**2 - 8*j - 2. Calculate -7*d(r) + 3*m(r).\nAnswer: 4*r**2 + 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 533 (c) -1\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o = 2113 - 562. Solve 158 = -37*y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 704 = -4*v, -w + 6*w = -2*v + 1182. What are the prime factors of w?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3392 and -73\/848.\nAnswer: 3392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-5)))*y*y*y\/y**(-1\/6)*y*y*y)\/(y**(-6)*y**7))\/((y**(-1\/2)*y)**(-1\/57)*y**(1\/5)\/y*y\/y**4) assuming y is positive.\nAnswer: y**(4268\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312968 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 192*v + 2545. Give p(44).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 73*t**2 + 165*t + 101. What is the hundreds digit of m(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -14\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 3*g**5 - 2*g**5 + 2*g - g**5 - 2*g + (0 + 1 - 2)*(-52*g**5 + 31*g**3 - 31*g**3).\nAnswer: 50*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = 0, -p + 0*f - f + 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-30)*3\/(-20).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 8791750*f - 3864743403125.\nAnswer: -5*(f - 879175)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 940 + -900. What is the remainder when 99 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 * 10\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.3. Let h = 1.1 + 2.9. Which is the nearest to -2? (a) 2 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3) + 1*6. Suppose -4*t + 5*h + 1 + m = 0, 0 = -2*t - h + 4. Let o = t + 7. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.182 - -19.818. Let v = 0.019 + 20.981. Let s = p - v. What is the second biggest value in s, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1728) + 0 + 5)**2.\nAnswer: -480*sqrt(3) + 6937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0482*0.2\nAnswer: 0.00964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 10351?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 22*g**2 + 17*g - 9. Let s be b(24). Is (44\/12 + -4)*s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**10*c**(2\/113)*c*c**22*c**(1\/25) assuming c is positive.\nAnswer: c**(93388\/2825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:58 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3)*72\/216. Suppose r + l = 1. Solve r = -3*c - 3 - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001757007 rounded to six decimal places?\nAnswer: 0.001757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(19) + 4)**2*-1.\nAnswer: -8*sqrt(19) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112300 + -2113?\nAnswer: 110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-3*f + 4*f - 2*f) + (6 + 2 - 4)*(5*f + 1 - 1).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 37*f**2 - 11*f + 23. Is 7 a factor of q(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 85?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3*d**3 + 4*d**3 + 20*d**3) - 176*d + 176*d - 9*d**3 + d**3 + 4 - 4.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 1873*l**2\/3 + 129119*l\/3 + 995953\/3.\nAnswer: (l - 1801)*(l - 79)*(l + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*2*((-4)\/(-6))\/(208\/(-78)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-21))\/((-9)\/21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/5950247 and -91\/253202.\nAnswer: 11900494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(((v*v*(v**(-1)\/v)\/v*v*v*v*v)\/v*v)\/v))\/(v**(-4)\/v))\/((v\/v**(1\/5))\/v*v\/(v**0\/v)) assuming v is positive.\nAnswer: v**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u**3\/3 + 3*u**2\/2 + 1. Suppose -96*x - 48*x = -42*x + 102. Let j(p) = -p + 1. What is x*l(w) - 2*j(w)?\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/435 + (-17)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5\/11 + 570*t**4\/11 - 1814*t**3 - 3617202*t**2\/11 + 16598718*t\/11 - 7392600\/11 = 0.\nAnswer: -111, 1\/2, 4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14879 and 0.1175.\nAnswer: 14879.1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -5, -1, 0, -7, 1 in descending order.\nAnswer: 257, 1, 0, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25528, 51049, 76570, 102091, 127612, 153133?\n\"Answer: 25521*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2185 and 855.\nAnswer: 19665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -1212, -0.1, 3\/8, -2, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56858359 rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4762*j - 838*j = -257600 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1305526121 - -4?\nAnswer: -1305526114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 8*v**5\/11 - 8538*v**4\/11 + 10662*v**3\/11 - 2132*v**2\/11 = 0.\nAnswer: 0, 1\/4, 1, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.8 - -12. Let j = 0.1 - -0.9. Let s = r + j. What is s rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81019236 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 101 = -3*j, -171 + 334 = -23*a + 2*j for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3366 and -3359 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2 + 6970*v + 13944 = 0.\nAnswer: -2, 6972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-25)\/l*l**(-27) assuming l is positive.\nAnswer: l**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-4))\/(-3))\/(66\/24).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 1. Let t(n) be the third derivative of -n**6\/120 - n**5\/10 - n**4\/8 + 2*n**3\/3 - 7*n**2. Suppose 0 = 9*s - 5 - 31. Give s*j(c) + t(c).\nAnswer: -c**3 - 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from iiiiiiqqkkqiiii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -0.7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -1\/27, 1\/3, -2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16278 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-28))\/(3\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-456)\/(-18)*(-9)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11\/(-8*5\/(-120)) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/15 (c) 26 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ttffffft.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 x when three letters picked without replacement from {i: 2, x: 3, l: 8, g: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34488611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/4 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18848 + -15080. Calculate the highest common factor of x and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5147 = -2*t - 1357. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:53 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/60 + 7*g**4\/24 + 5*g**3 - 7*g**2 + 4*g - 2. Let j(v) be the first derivative of o(v). Let j(n) = 0. Calculate n.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjsssso. Give prob of picking 1 s and 2 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.27 (b) -4 (c) -0.4 (d) -1462\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 16. Suppose 0*b - b = -5*p + 18, -p - 9 = z*b. Sort 4, 5, b in descending order.\nAnswer: 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70190930 and -3?\nAnswer: 210572790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 0.099776.\nAnswer: -0.698432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**4\/12 - 2*p**3\/3 + 2*p**2. Let d(l) = -1. Suppose 4*x - 90 = -x. Let f be (-4)\/x + 112\/18. Calculate f*d(w) - m(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 z when four letters picked without replacement from zaxazzzxzxxxaaaxxx?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3 - 277*f**2 + 4436*f - 4160 = 0.\nAnswer: 1, 16, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 14*z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2025 + -86549.7.\nAnswer: -86549.9025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698370 to the power of 1\/2, to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -8091*j**2\/2 + 97093*j\/4 - 3\/2 = 0. Calculate j.\nAnswer: 1\/16182, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by -4\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + x**2 - 22*x + 20800000. Let u be r(0). Round u to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -129.7. Let t be (2 - -1)\/(18\/(-4)). Put 3, t, n in descending order.\nAnswer: 3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/20 + i**4 - 5*i**3\/3 + 12*i**2 + i. Let r be (-154)\/(-11) + -13 - 13. What is the hundreds digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times -13?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 3, e: 5, m: 1}. What is prob of picking 2 e?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45c (base 13) in base 16?\nAnswer: 2f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 7*d - 3*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2603 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3894, -3841, -3820, -3831, -3874, -3949?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 - -165. Let s(w) be the third derivative of 0*w + 0 + 1\/15*w**o - 1\/2*w**3 + 0*w**4 - 3*w**2. Differentiate s(x) wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 37*u**2 + 335*u + 87. Let f be c(17). Suppose 8\/9 + 4\/9*l - 4\/9*l**f = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = 8, -5*i + 3*x + 92 = 0. Suppose -i + 1 = -5*c. What is the remainder when 13 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let c(z) = 929*z. What is f(c(u))?\nAnswer: -1726082*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 51 = -261. Suppose 8 - x = -2*v. Is 1*(4*v - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*s + 11209 = 209731. What is the highest common factor of s and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + n - 5 = 0, 4*z + 0*n = 5*n + 45. Let o(m) = 9*m - 10. Let g be o(z). Solve -2*x = 5*d + g, x + 2*d - 3*d = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 1636321734?\nAnswer: -1636321736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Sort o, -4, -5 in ascending order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*t - 144462 - 1522712, 416776 = n - 3*t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + 115. Let s = 631 - 539. Calculate the remainder when s is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)\/j**8)**(-30) assuming j is positive.\nAnswer: j**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 8:19 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(700\/21)*-12*20\/(-216)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d*d**(-3\/10))\/(d**(-12)\/d**(1\/3)) assuming d is positive.\nAnswer: d**(151\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55914791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((-6 - -20) + (-9 - (1 - 5))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 48. Let z be (6\/b)\/((-6)\/(-28)). Solve 5*c - 8 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8729456?\nAnswer: 2, 103, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**2 + 0*p**2 + 5*p**2)*(-34 - 18 - 9)*(1 - 2*p - 1) to d*p + h*p**3 + g*p**2 + k and give h.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74, -117, -182, -263, -354?\n\"Answer: c**3 - 17*c**2 + c - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10729 is divided by 1180?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2, 20 - 8 = b + 2*t. What are the prime factors of b*1912\/(-32)*-2?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3*8\/4. Let o(i) = i**2 + 5*i + 4. Let y be o(l). Let h be -1 + 2 - y\/6. Which is the nearest to h? (a) -0.3 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 672104*k**2 - 1422914.\nAnswer: 1344208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4377577611?\nAnswer: 3, 11, 31, 4279157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 12*q**2 - 2*q - 18. Let s be k(-12). Suppose -8*f + 54 = s. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85813198 to the nearest integer?\nAnswer: 9264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 476*t + 3349. What is j(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -125*h*u + 9*h + 6 wrt u?\nAnswer: -125*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/(-108)*(1 - 4\/12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (4 - 4))\/(-2). Suppose -5*x + 3*x + 72 = 4*h, b = 5*x + 2*h - 148. What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 9) to base 8.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 18. Which is bigger: -11 or h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 24 = -0*x + 5*k, 0 = 5*x + 2*k - 9. Suppose 4*m = -6*p + x*p + 25, 3*p = -5*m + 32. Solve h = -2*i + m*i - 3, -h + i + 1 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 11*a**6\/120 - a**5\/15 - 5*a**4\/24 + 25*a**3\/6 - 3*a**2 - 10. What are the prime factors of b(5)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 145786615.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*k = 491 - 1415. Suppose -2*h = -9 + 3. Let p(a) = k*a - 5 + h + 4. Give p(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -h + 48 - 161, d + 2*h - 17 = 0. Let i = 26 - d. Let j = 58 + -59. What is the closest to i in -0.4, j, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318934 and 292?\nAnswer: 46564364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-33)\/11 - -41) + -12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-105))\/(((-68)\/170)\/((-1)\/41))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 0.2, -5\/2, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1868 + 1868. Which is the nearest to v? (a) -0.1 (b) 0.07 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*l + 636, 0*h = -4*h - 2*l + 638. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10316265?\nAnswer: 3, 5, 47, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2131 - -3433021?\nAnswer: 3440202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 2:32 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1755*n - 1770*n - 1760*n + 15 + 5266*n. Determine m(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1308456 + 1308456 + 18*q + q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4789, 9716, 14703, 19762, 24905?\n\"Answer: 2*h**3 + 18*h**2 + 4859*h - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*t**2 - 2*d*t - 6*t**2 - 4*t wrt d?\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:02 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/328 and 91\/339572?\nAnswer: 27844904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 41158698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 8\/15, -0.03, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4404 = 3*u - 4048, -2*r = 3*u - 8444. What is the remainder when u is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144710524 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*q - 11 = q, -3*u = 5*q - 21. Calculate the least common multiple of u and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Suppose 0 = 3*n + 3, 4*n + 35 = s*x - 107. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -960*d + 1737*d + 157*d**2 + 2 - 771*d in the form w*d**2 + r + c*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 4*b + 4. Let g(y) = -y**2 + 4*y + 4. Suppose 0 = -3*i + 4 - 13. Let m(f) = i*g(f) + 2*d(f). Solve m(w) = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1000101?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 6. Let r be y(-9). Suppose 19 = r*d + q - 3*q, -q + 7 = 4*d. Suppose 2*m + d*i = 3 + 6, -5*m + 5*i = -35. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(sqrt(539) + (sqrt(539) - (sqrt(539) + 1)))**2 - (sqrt(539) - (4*(-2 + sqrt(539)))**2)) + 4*(-1*(sqrt(539) - -1*sqrt(539))*-6)**2).\nAnswer: -2205*sqrt(11) + 1593060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 2, q: 1}. What is prob of sequence llfq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79340448 and 1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.364 and -2?\nAnswer: -0.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5453459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6221776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 58. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -945084?\nAnswer: 19\/315028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(0 + 2\/(-4)). Suppose -10 = 4*f + 2. Let w(x) = 2*x**2 + 5*x + 2. Let u be w(f). Solve -4*c - u = -m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**4 + 1679*t**3*v + 11*t**2*v - 96*t**2 - t*v wrt t.\nAnswer: -24*t + 10074*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 7*i - 2*i - 8, -69*k + 62*k = 16*i - 126 + 34 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*x - 31, 4*t - 254*x = -246*x + 48 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*b**3 + 4740*b**2 - 10704*b + 2672.\nAnswer: -4*(b - 167)*(b - 2)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/15)\/(1380\/(-36) - -39).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + j - 6 = 0, -3*u - 46 = -16*j + 17*j. Which is the third biggest value? (a) u (b) -7 (c) -1 (d) 0.2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (sqrt(11)*2)**2 + 2 + (-6*(sqrt(539) - (sqrt(539) - (-1*sqrt(539) + sqrt(539)))*-3))**2.\nAnswer: 310505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + c**2 - c + 29. Let j(r) = 2*r**3 + 10. Let t(s) = 8*j(s) - 3*y(s). Let f be t(3). Suppose -u + 1119 = f*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-21)\/12 - -2)\/((-66)\/(-501864))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 14, u: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 - 36*u - 45. Give f(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412 and 277688?\nAnswer: 277688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 134 = -t + 3*t, 0 = 5*t - 5. Suppose 0*f - l = -3*p + 2*f, 5*p - 2*f - 106 = 0. Find the common denominator of 101\/14 and 30\/(-24)*1\/p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -18. Calculate the remainder when l is divided by ((-9)\/4)\/(-3)*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9) + 20\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*c = -4*c + 1, -6 = -3*c. What is the common denominator of 4268\/(-504) - (-9)\/81 and (d - (-153)\/19)\/4?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = 5*n + 26, -5*n - 22 = 2*r. Suppose 3*b - b + 8 = 0. Let o be -1*0*b\/8. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280144927?\nAnswer: 1489, 188143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -636164 or -1272329\/2?\nAnswer: -1272329\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(-3*t**4 + 3*t**4 + 2*t**4) + (-2 + 2 + 2*t)*(-21*t**3 - 173 + 173) in the form w + n*t**2 + f*t**3 + m*t + s*t**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -209a2?\nAnswer: -20993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 - (6 + -6 - -4 - 0)) - 44.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5 - 30*x**4 + 88*x**3 + 248*x**2 - 384*x - 512 = 0?\nAnswer: -2, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 18. Let n(k) = 149*k - 104. Let j(r) = 6*c(r) - n(r). Let v(m) = -m**2. Give j(v(p)).\nAnswer: 155*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8118?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 8 = -2*s, -12 = 2*s + s - 3*c. Let u be 1\/2 - (-2)\/s. Suppose 0 = m - 0 + 1. What is the third smallest value in -3, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 6. Suppose -a - 4*a + 17 = 3*n, -10 = -3*a - 2*n. Let o(q) = q + 7. Let y be o(-5). Suppose t = b, a*t + y*b = -b. What is z(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 283 = -63. Let t = 2\/683 - -90833\/2049. Let r = s - t. Which is the closest to 0.3? (a) r (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -25. Calculate the remainder when 40 is divided by 6\/m*34*2\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4439988+0.5\nAnswer: 4439988.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 362316 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54961\/1168 at least -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.2 + -12.2. Which is the nearest to 1? (a) d (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.221 less than 6956?\nAnswer: 6970.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 26*y**2 - 14*y + 19. Suppose -4*a = 6*s - 2*s + 92, 81 = -3*a + s. What is the hundreds digit of k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3800 and 394.\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8651 - 8673 = -4*k + 2*h, 41 = 3*k - 5*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/3959 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(192)*2 - sqrt(192))**2 + (sqrt(75)*5)**2 + 4.\nAnswer: 25111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c - 14*c + 39*c = -3942 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16204 = -45*k - 17419 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Let g be 3\/(-1) + (-2 - -4). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512180 divided by 102436?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = l + 11, 4*x + 37 = 5*l + 7*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -58*q + 59*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(12\/(-622))*(103 - 109)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 8 + 8)*(29*b - 14*b - 8*b).\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:17 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 99?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1237 - -27273578\nAnswer: 27272341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/46 - -25\/138. Let l = 0.2 - 0. Put -2\/39, l, m in increasing order.\nAnswer: -2\/39, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + 3*n)*(3 + 1 - 5) + (3 - 4 - 1)*(9 - 9 - 13*n).\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207941727 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 10644*r + 10645. Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3702194 + -3702137.17318. Let v = q - -0.13718. Let b = v + -57. What is b rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 251360 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/14)*b**(-2\/21))**(1\/6) assuming b is positive.\nAnswer: b**(-1\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h**3 - 1203*h**2 + 876*h + 348 = 0 for h.\nAnswer: -58, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zbzvvhbzvbbzvvvve.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3083, 6158, 9223, 12272, 15299, 18298, 21263, 24188?\nAnswer: 27067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 129*g - 127*g + 4*h, 3*g + 42 = -3*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5880 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 b when three letters picked without replacement from {d: 4, q: 8, b: 5, i: 1}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -163, -254, -345, -436?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 69*k + 69*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 7. Let n(w) = -w + 1. Give -2*j(s) + 5*n(s).\nAnswer: -s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 30\/13, 0.5, 1\/7, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -612630?\nAnswer: 612624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 1, k: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 0*j + 4 = 3*j, 3*f - 2 = 4*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.63 + 65.63. Let x = -69 + i. Which is the closest to -1\/3? (a) -2 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, -520, -1968, -4172, -7132?\nAnswer: -10848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -0. Let c = -8 + p. Find the common denominator of 34*c\/(-12) + 2 and 33\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -839351, -8 in ascending order.\nAnswer: -839351, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(95)\/(sqrt(5) + sqrt(135)\/sqrt(3)) + -4)**2.\nAnswer: -1375\/16 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 53\/146 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 3961223 + 15089277 = 0. What is s rounded to the nearest 10000?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**2)**7)**34 assuming a is positive.\nAnswer: a**714","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 3. Give u(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-9)*y)\/y**(-2\/21))**(-38)*(y**4\/y)\/((y\/(y\/y**(-7)))\/y*y*y)*y**(-8)*y**(-1\/7) assuming y is positive.\nAnswer: y**(4730\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -5b84?\nAnswer: -5b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2. Let o(v) = 7*v. What is s(o(t))?\nAnswer: 343*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/2 + x**2\/2 - 2*x - 16. Let k(o) = -6*o - 1. Determine -3*k(r) - 5*t(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 3*d - 5*d)*(-2 - 1 + 4) + (1 + 3 - 3)*(19*d + 22*d + 5*d).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/65 and 83\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, -1\/4, 67, -6, -5 in decreasing order.\nAnswer: 67, -1\/4, -4, -5, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10230087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + -5 + 2*sqrt(468) + (sqrt(468)*-1*-6 - (-1*-1*sqrt(468) - sqrt(468))))**2 + -4.\nAnswer: -768*sqrt(13) + 30012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 - 225 = 90*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 4, -0.014, -1, 305?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3915, -3910, -3901, -3888, -3871, -3850?\nAnswer: -3825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/24 + 5*l**2 - 2*l. Let c(m) be the first derivative of 77*m**3\/3 + 2. Calculate c(u(w)).\nAnswer: 77*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2048, 2038, 2022, 2000, 1972, 1938?\n\"Answer: -3*r**2 - r + 2052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002018 to 5 decimal places.\nAnswer: -0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(30\/(-32)))\/(2320\/(-580)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 + -92. Let v = j + 270. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79660237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 10 = 5*f. Solve f*i - 6*i = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 + -3 - -12) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -100, -101, -102, -103?\n\"Answer: -m - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110871392 rounded to the nearest one hundred thousand?\nAnswer: 1110900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 724*t**2 + 86*t - 2401. Is c(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-215)\/86)\/(0 - (-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 8. Suppose 4*w = 0, 5*w + 2 = x - 0. Let p(s) = 2*s**x + 6*s**2 + 8*s**2 - 5*s + 2 - 18*s**2. Give p(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836741269 bigger than 836741270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from ybyyikyybyyyyyb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/868 and -17\/37454?\nAnswer: 16255036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115 and -1704042.\nAnswer: -1704157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55877421 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -13, -4 in ascending order.\nAnswer: -13, -9, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*m, 3*c = 766*m - 767*m - 9. Are 8\/4257 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 14\/(-5)*125\/(-4). Let t = -85 - y. Which is the nearest to -2? (a) -0.34 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/20 - 4*a**4\/3 + 4*a**3\/3 - 31*a**2\/2 - 2*a + 465. Suppose 6 + 74 = 5*u. Is c(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.3766 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y + 27. Suppose -105 = -23*m + 8*m. Calculate the lowest common multiple of z(0) and (77 - -4)*m\/21.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -98*k**3 - 2*k**2 + 2*k - 4. Let r(v) = 197*v**3 + 5*v**2 - 4*v + 10. What is 5*q(y) + 2*r(y)?\nAnswer: -96*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*q + 9*q**2 - 7*q + 0*q**2 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 4838999 + 2419499 + 2419500.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 12) to base 7.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93972, 187955, 281956, 375981, 470036, 564127, 658260?\n\"Answer: p**3 + 3*p**2 + 93967*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 9, -2\/43, -2\/3, 2 in increasing order.\nAnswer: -13, -2\/3, -2\/43, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**2 + 2*z**4 - 4*z**2 - 1 - 5*z**2 to g + q*z**3 + v*z**4 + j*z + f*z**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1.83 (c) 0.4 (d) -223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 58 = 3*y, -3*y - g + 59 = 3*g. Suppose -y*r + 15*r = -72. Let a(m) = m + 4. Let h be a(r). Solve 4*i - 2*z + 2 = 0, -i - i - h = 2*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.6 + -12.74. Let i = w + -82.86. Let p = i - -80.2. Which is the second biggest value? (a) -4 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/13)*c)\/c)**(-1\/14)*(c**(-2\/7))**(-15) assuming c is positive.\nAnswer: c**(389\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 41*v - 39*v + 4, -2*m + 22 = 7*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(-25)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -42. Differentiate 8*o**4 - 9 + 3*o**p + 5 with respect to o.\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85.8687 and -5.83093147.\nAnswer: -91.69963147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 13. Let k be d(3). Let q(s) = s**2 - s - 6. What is the least common multiple of q(4) and (-12)\/(-3) + 24*k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a - 2*g = -7, 0 = -3*a - 2*g + 13. Let w(b) = 3*b**3 - 4*b**2 - 5*b - 1. Let h(f) = f**3 - f**2 - f. Calculate a*w(j) - 4*h(j).\nAnswer: -j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100 + 63?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40024?\nAnswer: 2, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-60)\/55)*(-220)\/55.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from mmmebremmemmmmbebezb?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3) + (0 - -2). Suppose l*k = 25*n - 21*n + 252, -135 = -3*k - 3*n. Calculate the remainder when k is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 10 + 3)*(2 + 0 + 0) + 20 + 0 - 3)*(-2*x**2 + 0*x + 0*x)*(2*x**2 - 2*x**2 + 2*x**2) as t*x**3 + f + j*x**4 + o*x**2 + a*x and give j.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 12*i - 13. Let l be q(10). Let x(y) = -y + 10. Let o be x(l). Sort 0.4, o, 19 in ascending order.\nAnswer: 0.4, o, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*k - 66*k + 34*k + 10*k**2 + 68*k**5 wrt k?\nAnswer: 4080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -348*q**2 + 22*q - 10. Let l be y(9). Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06658 rounded to three decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1941249 to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7)*u*u)\/u**(-4\/7)*(u*u**(2\/5))**(-18) assuming u is positive.\nAnswer: u**(-807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -116.41?\nAnswer: -116.41","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*a + m + 2*m, 2*m - 18 + 27 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159\/317 - 4264915\/1902. Let t = h - -2237. What is the common denominator of (-2)\/(-1)*(-61)\/(-20) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 137 + 99 - 268)*(-3*l - l + 3*l).\nAnswer: 370*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-20))\/(16\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6 + -1)\/(82\/164)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-48)\/14)*210\/(-735).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 16. Let f = k + -14. Calculate the remainder when 40 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -0.4, 0.7, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180324*q + 5*q**2 + 90242*q + 90082*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92\/15 - -353\/60. What is the nearest to m in -6\/7, -2, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -365.\nAnswer: -365, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011011010101010 + 101?\nAnswer: -1000011011010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:02 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*g)*(-4 - 1 + 4) + (-3 + 3 - 2*g)*(-6 + 2 + 3).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 - 8 = 2*k + 77*q, 2*k + 529*q = 525*q - 100 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-36))\/(9\/(-18)). Let i be (2\/30)\/((-21)\/(-70)). Which is the fourth biggest value? (a) v (b) 0.3 (c) i (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -933*y + 3. Let g(x) = -15*x. Give g(p(q)).\nAnswer: 13995*q - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5020 + 5025. What is the closest to 0 in t, 1, -0.06, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 + 89 = -10*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -275*s**5\/2 - 2887*s**2\/2 - 341*s - 3. What is the first derivative of i(z) wrt z?\nAnswer: -8250*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u + 7*u - u + u + 3 - 3 + (2 + 2 - 3)*(0*u + 3*u - 5*u) - 2*u + 4 - 4.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-28)\/6)*(-40)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11544 divided by 4?\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l - 11. Determine q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 12*i - 4*i)*(3 - 4 - 6) to the form m*i + k and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppe when four letters picked without replacement from eppepeeeeeee.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 10*f + 19. Is l(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/4)\/(10\/200). Let n(a) = a**3 - 13*a**2 + 12*a. Let c be n(12). Suppose -2*k + 4*k + 2*d = 0, c = -o*k - 4*d. Solve k*i - 10 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 2 = 18. Let g = -127 - -212. Factor 2 - 9*z**l + g*z - 85*z + 10 + 3*z**3.\nAnswer: 3*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2463.50389 to 0 dps.\nAnswer: -2464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 less than or equal to 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15920449\/586 + -27168. Which is smaller: -7\/5 or s?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59 + -0.19. Let k = -0.02 - 0.38. Let o = -0.6 - -0.7. What is the nearest to o in -5, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182312?\nAnswer: 2, 3, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67665673.\nAnswer: 67665673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 260053608 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(((-14)\/(-7) - 5)\/(-3)). Solve -61*y - 27 + 332 = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/61, 0.037, -4, -2\/67 in descending order.\nAnswer: 2, 0.037, 1\/61, -2\/67, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -495*y**2 + 3 + 37*y + 989*y**2 - 494*y**2 + 3*y**3 as q*y + t*y**3 + r*y**2 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-472)\/(-767)*(3\/90)\/(7\/(-70)*4).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 216\/48*(-2)\/(-3). Solve 0 = 4*g + i + 21, -4*i - z = -2*g + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7\/(q*q**0))\/(q**(2\/9)\/q**(-3\/7)))**(1\/29) assuming q is positive.\nAnswer: q**(337\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 3*j - 3*j)*(j**3 - 2*j**3 - j**3) + 0*j**4 - j**4 + 2*j**4 - 5*j**4 + 5*j**4 - 2*j**4 as c*j + o*j**3 + l*j**4 + b + s*j**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let i be (1\/2 - z)*2. Suppose 37 = 3*t - i. Calculate the greatest common factor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-1 - 2)) + 1. Calculate the remainder when 81 is divided by y\/(-1*(-2)\/42).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*z**3 + 3 - 2*z**2 + 2*z**4 - 5 - 125*z**3 as g*z**2 + n + x*z + q*z**3 + k*z**4 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:49 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -50 (b) 3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -66, -114, -166?\n\"Answer: -2*p**2 - 38*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2*o. Suppose 5 = -2*r - 1. Let b be c(r). Suppose -7*w + 3*w + 18 = -3*u, b*u + 18 = 5*w. What is u rounded 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 -0.5 in 29, 1\/2, 0.8, -17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/6 + 4\/(-12). Suppose -2*b - a*n - 1 = -n, -8 = -2*b + 2*n. Solve -6 + b = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 66200992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5140 (base 11) to base 12\nAnswer: 3b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 71\/11 and 85 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:45 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2412 + -2408. Suppose -o + 2*f + 86 = -2*f, f + 158 = 2*o. Suppose -o = -w*g + 38. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/9))**46*f**(-8)\/(f**(-3\/11)\/f) assuming f is positive.\nAnswer: f**(-160\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 630051136 a multiple of 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 132 = p. Let a(j) = j + 10. Calculate a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 7 - j - 5*j)*(4*j**2 - 158*j - 11 + 158*j) in the form k + a*j**3 + c*j**2 + s*j and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 36 = 6*d + 3*m, 895 = 11*d - 5*m + 781 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -247 - -511. Let k = -270 + g. Let u(f) = 6*f + 9. Let r(y) = -2*y - 3. Calculate k*u(p) - 17*r(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95784 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 0.035, 3, 0.09?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2 + f + 4. Let x be g(-1). Let o(w) = -2 + 0 + 2 - w - w**2 + 2. Calculate o(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = -0*g. Let i be (-2 - (-33)\/12)*g. Solve -i*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6003, -12054, -18107, -24162, -30219?\nAnswer: -36278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 571848383 - 571848383.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -10 (b) 3\/7 (c) -6422 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599559.45 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 + 19*j**3 + 18*j**3 + (-4*j**3 + j**3 + j**3)*(5 + 4 - 5).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 15.8.\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and -49?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1152*z**2. Let t(y) = 2620*y. What is t(m(w))?\nAnswer: -3018240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 538 + -505. Calculate the least common multiple of g and 209.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (13 - 19) - -2 - (29 + -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w - 3. Let l(c) = 35*c + 101. What is -5*f(x) - l(x)?\nAnswer: 25*x - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m - 42. Let j be v(-4). Let n(f) = 2*f + 7. Let s be n(-7). Is 11 a factor of 54\/1 - (j + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77547901.306 minus -4?\nAnswer: -77547897.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 9*g + 14. Let c be x(7). Suppose c*d = 4*d + 392. Let p = 142 + d. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/(368\/92)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8609 times 0.3?\nAnswer: 0.25827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.2000282 - -12.2. Round c to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -25. Suppose -7*b + 50 = s*b. Solve 20 = b*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/5 - 9408*d**2\/5 + 1126788*d - 23887160.\nAnswer: 4*(d - 1165)**2*(d - 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.1 (b) -1 (c) 5073\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 2*f - 2. Let s be 5\/(10\/(-348))*4\/6. Let z = -102 - s. Let x = z - 16. What is m(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10703 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -804089 (base 15) to base 14\nAnswer: -b46c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*b - 29. Suppose -6*m - b*x + 7213 = -m, 2 = 2*x. List the prime factors of m.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 26*k. Let v(n) = -14*n + 8. Let f(s) = -7*s + 3. Let t(m) = 9*f(m) - 4*v(m). Let x(r) = 6*r + 4. Let c(y) = -4*t(y) - 5*x(y). What is c(h(j))?\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 242, 514, 894, 1382?\n\"Answer: 54*p**2 + 2*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -334129*f**2 + 632022*f wrt f.\nAnswer: -668258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.014 (c) 0.1 (d) 3 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -420.023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 6 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y - 4 - 2*y**2 - 11*y + 18*y - 2. Let k = 16 + -11. Let x(t) = 2*t**2 + 4*t + 5. Determine k*o(m) + 6*x(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x - 265334 + 530669 + 47*x - 265335.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*x + 4*r, 2*r - 6 - 1 = -x. Let m be x\/(-3 - 10\/(-3)). Suppose 74 = c + m*l - 4*l, c - 68 = -2*l. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, c: 11}. Give prob of picking 1 c and 2 v.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 3*v - 2. Let i be s(-2). Let l be (-1 + 3 + -3)*i. Solve l = h + 3 - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 31)\/(-254 + 244). Solve 8*v = -l*v - 33 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/(-24)*42\/8. Let x = b + 134. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 - 54.4?\nAnswer: -54.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -124, -90?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 17*y - 9. Let r be h(7). Is 3\/2*(r - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 5*n**4\/24 - 5*n**3 - 16*n**2. What is the remainder when 70 is divided by q(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*15\/(-10). What is the greatest common factor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 2, e: 1, v: 4, g: 1}. What is prob of sequence pegf?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 + 1716*s + 17483. Determine u(-11).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30498 = -543*k + 1869*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2. Let k be y(-1). Suppose 0 = -4*c + 2*f - 170, 3*f - 50 = 2*c - c. Let p = -38 - c. Solve 3*x = p*g + 15, k*g = -x + 5 - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 682 + -1892\/3. Let d = 51 - a. What is the closest to d in -1, 0.5, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4440137.\nAnswer: 13, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11023140 (base 5) to base 8.\nAnswer: -272274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d + 43*d - 93*d + 3 to q*d + k and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363097 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003223 - 0?\nAnswer: 1003223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 2:10 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i, -4*t = -2*i - 284. Suppose -2*j + t = -91. What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 + 0*a**2)*(-359*a - 1 - 1 + 316*a) - 4*a**3 + 2*a**3 + a**3.\nAnswer: 42*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 64 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10370 and 25\/489464?\nAnswer: 2447320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 21 - 57 = 0. Let k = v + -6. Suppose k*j + 5*n - 57 = j, -2*j = -2*n - 36. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or 160?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from xxxxdxxkdkxxxxxkxxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*o + 71. Suppose r - 1 = 2. What is the highest common factor of o and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4132458 and 972?\nAnswer: 8264916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0 + 0*c**2 + 3\/4*c**4 - c + 0*c**3. Let w be q(-1). Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/811171?\nAnswer: 4\/811171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.5, 0.4, 0.5, -3 in ascending order.\nAnswer: -3, -0.5, 2\/7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5249008*a**4 - 2698919.\nAnswer: 20996032*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - o + 404, 74 = 2*k - 4*o - 128. Let t = k + -90. Calculate the remainder when 41 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9785646 a multiple of 2201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44657447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12654*d**2 - 6288*d**2 - 6367*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63066 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 781471 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.1 - 0.1. Let v = 0.064 + 57.936. Let b = 58 - v. Are q and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1510 and 3019114.\nAnswer: 2279431070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -1006434502?\nAnswer: 1006434505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 3*j + 99 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184 - -183. Let q be 1*(k - 34)\/(-7). Factor 0*o + 4\/3*o**3 + 8\/3*o**4 + 0 + 4\/3*o**q + 0*o**2.\nAnswer: 4*o**3*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767754 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 32 = 3*m, -m - 5*p = -5*m + 52. Let c(h) = -h**2 + 7*h - 6. Let b be c(5). Suppose -b*y + 5*y = 4. Solve y*v = 2*v + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + n - 1272 + 623 + 623 = 0, 3*n - 132 = 12*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -796146?\nAnswer: -796142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 2*x. Let z be w(2). Suppose z = t + 2*t - 36. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -73*j**2. Let t(q) = -105*q. What is t(z(f))?\nAnswer: 7665*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*i + 419*i + 2 = 0. Let h = -19\/462 + -1\/33. Which is greater: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 2*a**2 - 4*a + 3. Calculate the smallest common multiple of 8 and z(2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -2.94.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -96029.\nAnswer: -192058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -2633?\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002134454 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004384 to 5 dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from {r: 5, j: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*n - 10638*c**3 + 11*c**2*n + 3*c**2 + c*n - 62548*c - 2*n - 1 wrt c.\nAnswer: -6*c*n - 63828*c + 22*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 217, 285, 353, 421, 489, 557?\n\"Answer: 68*g + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343000 by 5.\nAnswer: 68600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25678, 25342, 25006?\n\"Answer: -336*g + 26014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + c?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/14 - 1638\/(-147). Suppose -5*i + 36 = 5*y + k, -3*i - y + 9 = 0. Solve i*c + 0*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(10\/7)\/l**(-1\/3)*(l**10*l)\/(l*l*(l*l**(2\/7)*l*l)\/l) assuming l is positive.\nAnswer: l**(178\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6021 in 1\/4, -0.4, 4, 2.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t*x**3 + 811*t*x**2 - 7*t + 9733*x**3 wrt t.\nAnswer: 4*x**3 + 811*x**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(-1))\/o))**(4\/5)\/(o**7*o\/(o*o**(4\/3)*o)) assuming o is positive.\nAnswer: o**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1320*m**2 - 8*m + 346. Let z(s) = -s**2 - s - 1. Let p(a) = q(a) - 5*z(a). Find the second derivative of p(t) wrt t.\nAnswer: 2650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -1434, -3166, -5590, -8712, -12538, -17074, -22326?\nAnswer: -28300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 25047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 28 = i. What is the third derivative of -72*w**2 + i*w**3 - 2026*w + 85*w**4 + 2026*w wrt w?\nAnswer: 2040*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2. Let z(l) = 209*l. Give p(z(u)).\nAnswer: 87362*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**4 + 2863*a**2 - 2863*a**2 + 42 - 12*a**5 + 23 - 9 - 2*a wrt a.\nAnswer: -240*a**3 - 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2559\nAnswer: 5\/2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let t be j(0). Let s(o) = 6*o**2 - o - 1. Let m be s(t). Suppose 4 = -h + m. Solve -3*y = g - 1, 4*y + g = -2*g - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, l: 12}. Give prob of picking 3 g.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -16) + (-4 - 2) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96960 smaller than 2811798\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/11 + 14*a**3\/11 - 36*a**2\/11 + 40*a\/11 - 16\/11.\nAnswer: -2*(a - 2)**3*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d + 104. Let u be z(15). Let g(y) = -753*y. Is g(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/30*(-3)\/2. Suppose -m*a = a. Solve 4 = -2*t - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i - 3. Let m be t(9). Suppose 165 = 2*h - m. Suppose h + 292 = 5*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 53e9?\nAnswer: 53ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/((-2)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:14 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 126. Let u be g\/(-8) + (-2)\/(-8). Is -4 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 - 1218 - 26*v**3 + 1218.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 33. What is the common denominator of (-97)\/(-18) + r\/7 + 2 and 15\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46651 is divided by 11661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -17777.\nAnswer: -81\/17777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3698365 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 16*i**2 - 8*i - 49. Let c be m(15). Is 4 + ((-25)\/2)\/((-7)\/c) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2093, -2092, -2091?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 2\/3*f**4 + 4*f + 0*f**2 + 1\/21*f**7 + 0 + 4\/15*f**6 + 1\/3*f**3 + 3\/5*f**5. Find m such that t(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 4*z - 3. Let d be b(-6). Let o be (1\/((-9)\/24))\/(42\/d). Solve v + 15 = -o*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265811363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d**2 - 2*d + 1. Determine z(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -9*v + 6. Let m = 45 - v. Suppose -m*s + 174 = -322. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4 + 5*m**3 + 22*m**2 - 56*m = 0.\nAnswer: -4, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (12 - -7) - (-1 + 5 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:10 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to -59868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614 (base 7) to base 6.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/2 - 8*z**3\/9 - 4*z**2\/3 + 31. Suppose k(g) = 0. What is g?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6089 - 6089 - j - 14*j**2.\nAnswer: -14*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200116 and 784?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -215, -166, -77, 64, 269?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4*b = 12, 0 = -t - 3*b + 11. Put t, -4, 2 in decreasing order.\nAnswer: 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 > 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/7)\/v**(-3\/11)*(((v*v*v*v\/(v\/(v*v*(v\/((v\/(v**(2\/3)*v)*v)\/v))\/v)*v)*v)\/v*v)\/v)**(-3\/10) assuming v is positive.\nAnswer: v**(-269\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1\/4, 10, -1, 3 in ascending order.\nAnswer: -1, -3\/8, -1\/4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 33 - (-14 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 4*a**2 + 0 + 4\/5*a**3.\nAnswer: 4*a**2*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 303486347 and 2461.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/9 - 38*d**4\/9 - 376*d**3\/3 + 408*d**2 = 0?\nAnswer: -18, 0, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24 and (92 + -3)\/(37 + -15).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*h - 6*h = 14, h + 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5755, -11471, -17131, -22717, -28211, -33595, -38851?\nAnswer: -43961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 336*q - 1360 = 0. What is q?\nAnswer: -4, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in -3\/5, -0.5, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s. Let f(j) = -15*j. Suppose 48 = 2*d - 5*d. Let u = d + -55. Let i = u + 75. Give i*f(k) + 11*l(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073 and 1373366?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 129, 152, 159, 144, 101, 24, -93?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 5080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 8, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 3, r: 5, y: 2}. Give prob of picking 1 y and 1 r.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztdztzdz. What is prob of picking 1 d, 1 z, and 1 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -17) + (1 - 8) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4192058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 543, -3.54, -4\/7, -68, -1\/5, 1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 956400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -n - 4, -n + z + 0*z = 0. Solve 2 + n = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcu when three letters picked without replacement from {k: 2, g: 1, x: 4, c: 8, r: 1, u: 4}.\nAnswer: 16\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35358*v**2 + 421 + 3*v - 3*v - 426.\nAnswer: -35358*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:57 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 2*h + 4*h)*(8*h - 7*h - 3*h) as n*h**2 + q + z*h and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 12558198 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 0*h + 0 - 16\/5*h**4 + 2*h**5 + 2\/5*h**3 + 4\/5*h**2 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - ((sqrt(88) - -5*2*sqrt(88)) + sqrt(88)))\/sqrt(8).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -333531 (base 6) to base 10\nAnswer: -28063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(6)*-3))\/(-1*(sqrt(6) + sqrt(12)\/sqrt(2))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.35726 - -6.857203. Let b = 4.5 - s. Round b to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = 5. Let h = y + -1. Let j be (-3 + 3)\/(1\/h). Solve j = -3*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9))**(-3\/31)*(n**(-7)\/n)\/n**(-3\/4) assuming n is positive.\nAnswer: n**(-2689\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m - 107. What is d(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*c - 48937 = 11125 + 1618 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Let h = 1.1 - 0.1. Let z = 8.231 - 0.231. Which is the closest to h? (a) 1\/5 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 1. Let o be u(1). Suppose -15 = -5*z + 4*i, -i - 2*i = 4*z - 12. Let s be 3 + (15\/95 - z). Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 20*y + 1. Suppose 4*d = r - 76, 5*d + 104 = -2*r + r. What is the units digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1036015738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, b: 1}. What is prob of picking 1 b and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k**3 - 12*k**2 - 39*k - 32. Is f(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phc when three letters picked without replacement from {i: 3, h: 2, p: 6, c: 2, u: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s - 86. Let n be b(8). Let t(r) = r**3 + 31*r**2 + r + 47. Is t(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/21 - 13*k**3\/6 - 3*k**2. What is the derivative of s(j) wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 55*k**2 - 110*k + 225. Let c be g(-57). Let b(s) = -2*s + 4. Calculate b(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -55*i - 2344. Let u be n(-43). Solve 5*f - u = -26, 0 = 3*d - 4*f + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 189*l**2 - 2*l - 14. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3 + -2 + (279 - 267) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4150, 8316, 12488, 16666, 20850?\n\"Answer: 3*t**2 + 4157*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.9 + 16.1. Let r = x - 3.2. What is the nearest to 2 in 3, r, -2\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 6, 36, 84, 156, 258?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 6*n**2 - 7*n**2 + 547*n - 547*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 8*n + 12. Let v(l) = l**2 + 3*l + 4. Let j be v(-3). Suppose 3*s + 11 + j = 0. Let h be c(s). Is -1 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006958 to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i*i*i)\/i**11)\/(i**(-8)*i*i*i*i**(1\/4)*i) assuming i is positive.\nAnswer: i**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + -2*sqrt(1088) - (4*(1 + sqrt(1088) + sqrt(1088) + sqrt(1088))**2 + -4*(sqrt(1088)*-1)**2).\nAnswer: -34825 - 208*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 20. Let v be i(-8). Let y(j) be the first derivative of -3*j**2 + 254. Let m(w) = 7*w. Determine v*m(l) - 5*y(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2588925, -5177844, -7766759, -10355670?\nAnswer: -12944577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 427057423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:25 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(320)*2 + 3 - (sqrt(320) + (sqrt(320) + 1)*2 - sqrt(320) - sqrt(320))) + (-1*(0 + sqrt(320)) - sqrt(320)) + 0 + sqrt(320) + 3)**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6850?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*w - 142*w + 8 - 150*w + 27*w - 2.\nAnswer: -207*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.8, 5, -14, 1\/5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d - 4. Let r be s(4). Suppose -5*f + 19*f = r. Suppose -199 = -f*x - 43. Solve -9 - x = -5*v + 4*i, -5*v + i = -20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676090.\nAnswer: 2, 5, 17, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 0.085. What is z rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/8 of a gram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -13.\nAnswer: -23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*i + 42*i + 100. What is the smallest common multiple of 22 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2873\/7, -5, 70?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 678766?\nAnswer: -67876b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**7\/70 + t**6\/20 - t**4\/4 + t**3\/2 + 2*t**2. Factor o(h).\nAnswer: -3*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*u**31)**(1\/15) assuming u is positive.\nAnswer: u**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87958341 divided by -9773149.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let m(w) = 15*w + 2. Determine l(m(q)).\nAnswer: 15*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79042.4 rounded to the nearest 100?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 29*n**2 + 8*n - 8. Let l(g) = 13*g**2 + 3*g - 3. Let b(c) = 8*l(c) - 3*x(c). Let a(y) be the second derivative of -y**3\/2 - 2*y. Give b(a(v)).\nAnswer: 153*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/16? (a) 1\/2 (b) -16.39 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 11*s**2 - 27 - 4*s**2 - 5*s**2 = 0. Calculate s.\nAnswer: -1, 27\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 37022120*c - 171329671161800.\nAnswer: -2*(c + 9255530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 224.\nAnswer: 10528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15*136747\nAnswer: -2051205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b - 43*b + 2 = 0, -67 = 5*x + b for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101.00000131 + 101. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211897263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8. Let t(d) = d**3 + 4*d**2 + 2*d + 2. Let j be t(-3). Suppose 3*u + j*m = 13, 3*m = 2*u - m + 28. Put -5, q, u, 2 in descending order.\nAnswer: 2, q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let r = -1\/137 + 419\/1096. What is the nearest to -1 in h, 1, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 49\/2*o**2 - 34\/3*o**3 + o + 9. Find the first derivative of q(u) wrt u.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 11:21 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679\/4, 1\/5, 0, 4\/9, 3\/5, 1 in ascending order.\nAnswer: -679\/4, 0, 1\/5, 4\/9, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {x: 3, i: 3, f: 2, k: 6, g: 5, w: 1}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1308, 2609, 3908, 5205, 6500?\n\"Answer: -w**2 + 1304*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {o: 1, n: 4, k: 1, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1918022510 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 8437\/52*-2. Suppose 541 = 8*y + t. What is the lowest common multiple of y and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q + 6*q - 6*q + (2 + 3 - 3)*(-3*q - 4 + 4) in the form i*q + y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -393, -577, -831, -1155, -1549?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711860, 1423743, 2135618, 2847479, 3559320, 4271135?\nAnswer: 4982918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-2))\/(-1))\/((-72)\/972*27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -4*w - 3*s + 95, -3*w - 291 = -3*s. Let y = -42 - w. What are the prime factors of y?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 3*x + 2. Let s be r(-2). Suppose 0 = -2*c - 3*p - 2, c + s = -p - 4*p. What is the first derivative of 6*i**c + 7 - 14 + 5 + 4*i**2 wrt i?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 25. Let h(w) = 7*w**2 + 16*w - 7. Is h(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 33*v**2 + 4*v + 132 = 0. Calculate v.\nAnswer: -33, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -30*a**2 + 3*a + 26. Let p(d) = 32*d**2 - 4*d - 28. Calculate -3*l(i) - 2*p(i).\nAnswer: 26*i**2 - i - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let y(w) be the first derivative of -w**6\/180 + w**3\/3 + 1. Let t(m) be the third derivative of y(m). Give k(t(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.7 (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*g = -0*q - 64, 4*q - 121 = g. Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/272 and -5\/2528?\nAnswer: 42976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let k be m\/(-2) + 1\/(-2). Is (-109)\/(6\/(-3) + k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1527 + -1524. Which is the smallest value? (a) 2 (b) d (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 102. Let s = 104 + -58. Let h = s + i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 3*y = -19264. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from ccmsccctccsm?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -759 - 2?\nAnswer: -75b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.21. Let f = 5.2 - 5.61. Let p = q + f. Which is the biggest value? (a) 2\/13 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*14*(-12)\/(-9 + -3). Let q(p) = a*p + 1 - 9*p + 4 - 4*p**2. Let h(l) = 5*l**2 - 6*l - 6. What is -5*h(k) - 6*q(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4.8. Let t = 0.1 - 1.1. Which is the nearest to 2\/5? (a) t (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = -x - 2*x, 3*x + u = -10. Let d(w) = -3*w - 7. Calculate the lowest common multiple of 3 and d(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from pvvwpwvw?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1de5 - 2?\nAnswer: -1de7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/24*2 - -2. Let h = -0.22 + -0.08. Sort x, h, -4 in descending order.\nAnswer: x, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)*-3 + 53\/(-17)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 145. Is 4\/(-2) - (b - -1)*241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1252\/3, -3, 3\/7, 3\/4 in descending order.\nAnswer: 1252\/3, 3\/4, 3\/7, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/15 + 99736*k**3\/15 - 1313990492*k**2\/15 + 117325740168*k - 41514897233070 = 0.\nAnswer: 729, 24205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45744, 45742, 45740, 45738, 45736?\nAnswer: 45734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, l: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4423833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368269 is divided by 33478?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1281, 1325, 1371, 1419, 1469?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 226.832kg?\nAnswer: 226832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*x = 21. Let c(d) = -8*d + 3*d + x*d + 12*d. Let u(y) = 0 + 2*y**2 + 0. Calculate u(c(s)).\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 122*b**2 + 106*b**2 + 6 - 256*b**2.\nAnswer: -28*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 11:14 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276\/7 - 3\/7*f**2 - 132\/7*f.\nAnswer: -3*(f - 2)*(f + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1486*y - 1 - 1451*y + 2818*y + 1.\nAnswer: -119*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 565003337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1373 - ee5?\nAnswer: 37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k. Suppose 5*s + 10 = -2*j + j, 0 = -s - 2. Let m(y) = 7*y + j*y + 4*y - 2*y. What is m(t(o))?\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:55 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 206484 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m. Let x(n) = -n - 3. Let s(v) = -v - 5. Let q(b) = -3*s(b) + 5*x(b). Let f(k) = -4*k. Let z(j) = 6*f(j) - 11*q(j). Calculate w(z(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**4 + 39*d**3 - 21*d**2.\nAnswer: 3*d**2*(d + 7)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*r - 5*j + 1, 0 = r + 3*j - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2664342438 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10466.47 - -154166.\nAnswer: 164632.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/2 + 2*h**3\/3 + 4*h**2 - 8*h - 40. Solve b(q) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1548*y + 11988 + 21708 = 143604 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -802 - -6407\/8. What is the common denominator of o and ((-1)\/94)\/((-38)\/(-14) + (-245)\/98)?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - l = -32, -p + l + 15 = 2. Suppose 4*d = 11*d + 63. Let q = d + p. Solve 8 = -2*w - v, w - v = -2*v - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -f - f + 86, -4*b = -5*f + 175. Suppose 2*l + 44 - 530 = 0. What is the common denominator of -4 - (l\/12 - 2) and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24) - ((-33)\/36 + -463 + 496).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 47*r + 2697. Calculate b(-58).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 6*w + 5206, -2*d - 5*w - 1921 - 164 = 0. Which is bigger: d or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16474 - -24818. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 + 3a0231?\nAnswer: 3a01a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2889206*s**2 + 2 + 2889203*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (23 + 14 - 17) + (45 - 6).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -35*r + 1. Let i be f(-2). Suppose 5*t = 6*t - i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8963 + -8879. What is the smallest common multiple of 476 and z?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 95725701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 437*r**2 - 35857 + 28979 - 6178*r**2 wrt r.\nAnswer: -11482*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-10)*705\/(-94). What is the highest common factor of 78 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*t = -1, h - 6*t - 7 = -4*t. Let s(n) be the first derivative of n + 2*n - 1 + 3*n**h - 4*n**3 + 2*n**3. Differentiate s(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, a: 6}. Give prob of picking 1 a and 3 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - j + 1. Let h(k) = k - 4. Let w be h(-5). Let d(a) = -4*a**2 - 406 - 4*a**2 + 401 + 4*a. Determine w*c(o) - 2*d(o).\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 3*h**2)*(-34*h - h**2 + 14*h + 52*h).\nAnswer: -2*h**4 + 64*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827 = 6*c - 25. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -660376, -1320731, -1981086, -2641441?\n\"Answer: -660355*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.7, -1, -4, 236, 10, -2\/5.\nAnswer: -7.7, -4, -1, -2\/5, 10, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-96)\/(-54) - 4\/2. Suppose -3*f - 2*f = -20. What is the closest to 0.1 in g, 2, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 118 = 2*q, 4*q = 4*u - u + 233. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -209 + 24?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*p = 8, 4*z = 2*p - 1 - 1. Let h(g) = 2*g**2 - 4*g**2 + 1 + 2*g + 0*g**2. Determine h(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let i be g(-6). Let o(p) = p**3 - 4*p**2 - 4*p - 1. Let b be o(i). Suppose -1 = x - b. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*24\/(-48)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12101?\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 10 (c) 3 (d) 1.7 (e) 4 (f) -81 (g) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccci when four letters picked without replacement from {c: 15, i: 3}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1076 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhhefenqeef. Give prob of sequence hf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*v = -1054 + 3254 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:35 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -2 + 30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484652818 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 12021?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 7*m**2 + 12. Suppose 5*r + 10 = -3*u - 31, 0 = r - u + 5. What is the lowest common multiple of (-372)\/(-21) + 4\/14 and s(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.174 (b) 0.18 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = -37*m - 492. Solve 2*v = -0*x - 3*x - m, -4*v + 6 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - 2*sqrt(325)) + -1)**2 + sqrt(325) + (-1*sqrt(325)*-3)**2.\nAnswer: 15*sqrt(13) + 3251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -28*n**2 + 17*n - 13. Let x(z) = 7*z**2 - 4*z + 3. Suppose 3*s + 18 = -9. Let g(d) = s*x(d) - 2*c(d). Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 148372*g - 593456.\nAnswer: -2*(g - 74182)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -9, -0.18, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*b + 410 - 30 = -1115 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Suppose -12*x = -6*x - 102. Suppose x = -4*h + 49. What is the least common multiple of b(-2) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-5))\/12)\/((-365)\/17520)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 + -1 - 1) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (0 + -1 - 4). Let x be 4\/(12\/21) - u. Solve -7 = x*t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 9. Let i be (-4)\/(-38) + (-38425)\/(-475). Let k = i - 72. What is the remainder when k is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 + (1 - 4)*1. Is 8 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 10, 0, -14, -32, -54, -80?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46.29561 micrograms?\nAnswer: 0.00004629561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksvsvvvwvkwvsv. Give prob of sequence vs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 601348 and 318923.\nAnswer: 220694716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**3 - 3*r**3 - 4*r**4 + 20 - 22 in the form i*r + w*r**4 + k*r**3 + g*r**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 386921*b**2*z + 2*b*z**2 - 211*z**2 + 386*z wrt b.\nAnswer: 773842*b*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 2, 2\/193, 3\/4?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*s + 4, -5*r - 2*s = -17. Let a = -57 - -58. What is the lowest common multiple of r and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000513706158 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 5*t - 9. Let v(k) = -k + 1. Let o be v(3). Let r be c(o). Which is smaller: 20 or r?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8374478\/23 at most as big as -364109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11608209 times -1?\nAnswer: -0.11608209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3.9 (b) 11\/2 (c) -3\/8 (d) 3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287 divided by -245999.\nAnswer: -287\/245999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -977, -7676, -25719, -60734, -118349, -204192, -323891, -483074?\nAnswer: -687369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 36 = -2*k, 0*x - 11 = 2*x - 3*k. Let s = x + 12. Factor -4*y**3 - 12*y**s - 17*y**4 + 11*y**4 + 3 - 12*y**3 - 1.\nAnswer: -2*(y + 1)**3*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((53\/(3975\/425))\/1)\/((-5)\/18)?\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6480 and 0.5.\nAnswer: -6479.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (39852\/120)\/(1 + -2). Is q != -332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(8) + (sqrt(8) - (3 + sqrt(16)\/sqrt(2))) - ((sqrt(128))**2 + sqrt(8) + 1)).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15471 + 15471 - 312*l**3 + 0*l**3 - l**3 - 2*l**3 + (-2*l - 1 + 1)*(-l**2 - 2*l**2 + 4*l**2).\nAnswer: -317*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y - 3 + 1 + 2 in the form s + k*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 467667*b**2 - 258473.\nAnswer: 935334*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2863343 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 5*f - 2. Let k(d) = -d**2 - 7*d - 6*d**2 - 4*d - 4. Let s(b) = 4*k(b) - 9*m(b). Suppose s(l) = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10343*k**4 + 2*k**3 + 4*k**2 + 382 wrt k?\nAnswer: -248232*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 15 = -5*l, 82*l - 80*l - 5*d = -21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 - 110. What is the remainder when w is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + n - 1. Let c(b) = -258*b**2 + 5*b - 5. What is -c(a) + 5*m(a)?\nAnswer: 263*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 equal to 48162\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minus -50.5?\nAnswer: 74.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8041340?\nAnswer: 2, 5, 17, 67, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50276 or 50281?\nAnswer: 50276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-2 + 1)*-2. Suppose -k + 3 = -p + 8, c = -5*p - 5*k + 35. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*r + 458*r + 35294 = 0. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138461671.\nAnswer: 3, 17, 41930621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + 530*u + 2117. Calculate the remainder when 32456 is divided by p(-4).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2485)\/(-182) - 2\/13)*-2. Let m = -18 - s. What is the least common multiple of 6 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 30*b**3 - 4833*b**2 + 4860*b.\nAnswer: 3*b*(b - 45)*(b - 1)*(b + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + -10. Let a be (-54)\/24*o\/(-6). Let s be (4\/6 + -1)*a. What is the greatest common divisor of 36 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 231 + 3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7))\/(2\/12*-6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/11 (b) 0.12 (c) -3 (d) 19 (e) 287 (f) -0.4 (g) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-7)*294\/28. Let y be 1*12*(4 - (p + -3)). Let l be (y\/18)\/(10\/75). Solve 4*x - 2*g + 3*g = 17, l*g = -4*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -12\/11*i + 10\/33*i**3 - 5\/22*i**4 + 5\/11*i**2 + 2\/55*i**5 - 107. Suppose h(d) = 0. What is d?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.95604 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 9731 = -21*q - 10731 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621*u + 897 = 634*u. What is the highest common divisor of u and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 6. Let a = t - -8. Solve 0 = -5*d - a*v - 4, -4*d - 5*v - 12 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 440*h - 447*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 6. Let g be m(2). Let c(w) = w - 3 + w**g - 3*w + 13*w - 7. What are the prime factors of c(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - bb077?\nAnswer: -bb074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, 0, 5 in ascending order.\nAnswer: -1, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbnjnw. What is prob of picking 2 w and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -607 + 9765\/16. Let m = -1759\/10164 + -2\/363. Calculate the common denominator of m and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438*8196.\nAnswer: 3589848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2779*a**2*t**2 + a**2*t - a**2 + 3*a*t**2 - 318*a + 3*t**2 - 14*t - 9 wrt t?\nAnswer: 5558*a**2 + 6*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 150414564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5\/2 + 551*u**4\/2 + 13143*u**3 + 45090*u**2 + 24300*u = 0.\nAnswer: -90, -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + (-2 + -7 - -46) - -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 + 701962964*z + 61594000353458162 = 0.\nAnswer: -175490741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*l - 25 = 0, -5*l + 2*l = 6. Which is the smallest value? (a) f (b) -1\/10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5460 = -901*v + 60*v - 251*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*o + 1. Let c be (-6)\/(-2)*(-3)\/o. Let x be (32\/2)\/(c - 0). Calculate the greatest common divisor of x and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140933 + 845597\/6. Let s = 4 + -9. What is the biggest value in z, 11, s?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3315*d**3 - 1721*d**2.\nAnswer: 19890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*z = z + 629, 0 = 2*x + 4*z + 242. Is -130 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-6)*(-1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*a - a. Let g(w) = 4*w**2 + a*w + w**2 - w - 3*w**2. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -45 - 5. Suppose -n*q = -2*q - 512. What is the highest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 - 186\/8)*1*-8. Solve -11*j = 10*j + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*d**2*m**2 + 3225*d**2*m - 1757*d*m**2 + 61*m**2 - 199*m wrt m.\nAnswer: 62*d**2 - 3514*d + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w + 3 + 761794*w**2 - 761794*w**2 + 29*w**3 to the form d*w + v*w**2 + o*w**3 + a and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - d. Let h be g(1). Let i = h - -4. Suppose -f = 2 - 6. Solve -i*x - 6 = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2045312669?\nAnswer: 2045312669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16069 (base 11) to base 9\nAnswer: -34124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97704 and 25254.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2772 and 792.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 - 2*k + 6. List the prime factors of p(-7).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -10*y - 12. Let b(w) = -w**2 - w + 2. Determine b(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) - 210\/(-27). Let x be (-1)\/(-4) - 98\/m. Let w be 8\/x*12 + 4. Sort 4, 1, w.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 0*j - 17*j**2 - j.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.43 at most 139609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 at most as big as -701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 3*o + 4*o + (-2 - 1 + 0)*(-1 + 1 - o))*(-65*o - 90*o + 97*o) to the form i*o + m*o**2 + n and give m.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 10) to base 14.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 14 - 70 - 333*s**3 + 323*s**3)*(0 - 2 + 3).\nAnswer: -10*s**3 + s**2 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/2169 and -3\/43862?\nAnswer: 394758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 3603044?\nAnswer: 306258740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15663007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-18 - -20)) + 2 + 0. Let a be 1\/(-1) + 3 - -5. Find the first derivative of a + 3*b**3 - 13*b**3 - 3*b**c wrt b.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 4*m**2 + 3*m. Let x = -16 - -14. What is the smallest common multiple of c(x) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -250\/43127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180750.\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 3*l + 19, 2*a - 2 = 4*l. Suppose 15 = g + 8. Calculate the greatest common factor of g and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*i - 68*i - 70*i - 52*i - 55*i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.64 and -0.3.\nAnswer: 10.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -21*t + 15. Let s(n) = -11*n + 8. Suppose -6*y - b = -5*y - 7, -5*b - 42 = -2*y. Give y*s(k) - 6*g(k).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 7*s + 30. Suppose s + 74 = 4*x. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 580122, 580122, 580132, 580158, 580206, 580282?\n\"Answer: k**3 - k**2 - 4*k + 580126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 22*h + 398. What is b(-20)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 2*s + 12, 0 = -4*s - 8. Suppose -2*q + 4*a - 68 = -7*q, 0 = q + 4*a - b. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/17*(111 + (-240305)\/2145)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17243803 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -115926890 and 53?\nAnswer: 115926943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose 0 = r*m - 0*m. Suppose m = -s - 0*s - 5. Put s, -2, 2 in decreasing order.\nAnswer: 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208879 is divided by 2028?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 3. Let s = -8 + 13. Suppose r - 5*x = -x, s*x + 17 = -3*r. What is the units digit of w(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(3 - 1 + 2)*(-4*o**3 - 2*o**3 + 2*o**3)*(-6*o - 6*o**2 + 6*o).\nAnswer: 96*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0536 (b) 5 (c) 0 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34151623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**2 + 9*c + 2. Let v be n(4). Let g(r) = 34*r + 1. Let y be g(v). Solve 3*j = -j - 5*z - 30, 5*j = -5*z - y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 5*x - 15. Let t be p(4). Let i be ((-9)\/(-2))\/((-6)\/8). Is t != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458 and 2344194.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393488137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 80 = 5*d - 40 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.1, 1\/4106, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 25. Let v be s(-5). Let j(a) = 6*a**3 + 13*a**3 + 6*a**2 + 17*a**3 - 10 - v*a**3 - 11*a. What is j(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965*h = -1974*h + 153 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1716, -1354, -992, -630, -268?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/29)*p)**(-6\/5)*(p\/(p**1\/p)*p)**35 assuming p is positive.\nAnswer: p**(1958\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27607?\nAnswer: 19, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -49. Let m(i) = 2*i + 4 + z - 4 + 0 + 2*i**2. Calculate m(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6212 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-7)*(-49420)\/141200.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29967934 is divided by 190?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 - 525\/(-60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330817*q**5 + 74*q**4*z**2 - 63*q**2*z**2 - 8296*z + 16 wrt q.\nAnswer: -19849020*q**2 + 1776*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - j - 2. Suppose -5*k - 68 - 11 = -q, 3*q = 3*k + 237. Let a = -77 + q. Calculate the smallest common multiple of o(2) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493 - 481. What is the lowest common multiple of j and 380?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 a factor of 33325341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 5*v**2 - 4*v + 13. Let m be y(-6). Let o = 0 - 0. Which is the nearest to o? (a) 0.3 (b) -3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, 27, 10, -23, -78, -161, -278?\n\"Answer: -j**3 + j**2 - 3*j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4757 is divided by 117?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20211048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*-2 + 22\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-36)\/(-10))*13*110\/572. Solve 7*n = 5*n - r*x, 2*n - x = 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 - 54*x**2 + 7*x + 67. Let a be h(-18). What is the highest common factor of 23 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 13585*l - 352528. Give w(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 - 508*z**2 + 512*z = 0. What is z?\nAnswer: -128, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 38*g**3 - g**2 + 2*g - 2. Let b be w(1). Let q = 30 + b. Suppose 77 = 5*k + q. Solve k*a - 2*h - 2 = -h, 5*a - 3*h - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21623.25 rounded to the nearest ten?\nAnswer: 21620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7755749?\nAnswer: 271, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b. Let j(u) = 5*u. Let g(p) = -5*j(p) - 4*w(p). Let f(o) be the second derivative of o**4\/12 + o. Give f(g(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7188564.\nAnswer: 2, 3, 67, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57380543 by -1.\nAnswer: 57380543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**5 - 1\/14*m**7 - 35\/6*m**3 + 0*m**6 - 1\/6*m**4 + 0*m**2 + 43 - 2*m. What is the second derivative of n(f) wrt f?\nAnswer: -60*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 32*s**3 + 2*s + 2. Give g(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*o - 10*f + 19, 2*o + f = 8. Let q(v) = 81*v + 12. What are the prime factors of q(o)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 15?\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {d: 3, q: 3, l: 1, z: 6, t: 1, c: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)*d**(-7)*d*d*d)\/(d**(-1\/4))**(17\/6) assuming d is positive.\nAnswer: d**(-83\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3490299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 2\/7 (b) 5 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 9516?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**2 + 732*h + 14. What is o(-49)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.13 + -35.33. Is -7\/205 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184531 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -26*x**3 - 3*x**2 + 3*x + 16. Let h be v(-9). What is h rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n - 74. What is the smallest common multiple of 6 and v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2199*m + 10. Let w(n) = 7 + 3 - 11. Let y(x) = d(x) + 5*w(x). Let a be y(-5). Round a to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-1078)*(-4)\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14470 + 1334*k**2 - 11315 + 181*k**2 wrt k?\nAnswer: 3030*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4 = -m, -3*j + 3 = -5*m + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 20*t - 26 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -91583430?\nAnswer: 91583428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**0)**(-7\/2))**(-1\/42))**(-2\/29))**(3\/5) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55992 and 321954?\nAnswer: 1287816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + d = 5572. Round d to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3) - 4\/6. Let h = -36.6 + 36.6. Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11764 - 22?\nAnswer: -12006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m - 4*i - 12, -m - 232*i + 235*i - 14 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-246)\/(-8) - (-45)\/(-60). Let r = 25 - y. What is the second biggest value in r, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2838 and 8514?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8a (base 15) in base 7?\nAnswer: -6640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f + 4. Suppose 5*w = 2*b - 4, -2*b + 2 = 3*w - f. Let a = 18600 + -18597. Solve w*p = -a*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 454200193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73825777.\nAnswer: 73825777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-11)\/1)\/(-11))\/(3\/15). Let c(a) = -a**2 - 7*a - 4. Let y be c(-6). Suppose -y*o + d = 3*o. What is the least common multiple of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002682588211 to six decimal places.\nAnswer: 0.002683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033230 (base 6) in base 4?\nAnswer: 30201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 15*x - 11. Suppose -468 = -51*r - r. Let z be 17 + (18\/(-2))\/r. What is v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -59*s**6 + 3*s**4 + 101*s**2 - 3. Let f(q) = q**6 - q**4 - q**2 + 1. Let n(r) = 3*f(r) + g(r). Find the third derivative of n(w) wrt w.\nAnswer: -6720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 != -1407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -50*y - 567. Let k be b(-12). Solve k = 19*g - 62 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 9*o**2 - 5*o - 4. Let d be 3444\/1435 - (-18)\/5. Let x(j) = 3*j**3 - 8*j**2 - 4*j - 3. Determine d*x(g) - 5*t(g).\nAnswer: -2*g**3 - 3*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.354, -1, 2, -0.02, -3\/50 in decreasing order.\nAnswer: 2, 0.354, -0.02, -3\/50, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -5*k**4\/12 + 37*k. Let m(g) = -7*g**2. Determine a(m(j)).\nAnswer: -245*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 18 - 39 = 0. Calculate the remainder when (-52)\/182 - (-93)\/p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgon when four letters picked without replacement from npopngdg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 23 = -a. Suppose 2*f = 2, -f - 6 + a = 4*p. What is the second derivative of -11*j - 7*j**p + 4*j + 4*j + 2*j**4 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 14. Let t = -13 - a. Let x(o) = -o. Let p(j) = 7*j**2 - j. Let l(y) = t*p(y) - 5*x(y). What is the second derivative of l(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from jjjjjbbjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 - 327. Suppose 2*h = t - c + 3, 0 = h - 3*t + 12. Let u(z) = z**3 + 20. Calculate u(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550 times -4.026?\nAnswer: 6240.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 + 6*t - 22. Let v be g(4). Suppose 2*z = -v*m, -5*m = -2*m + 4*z + 3. Factor 0 + 0*w + 1\/4*w**2 + 1\/4*w**4 + 1\/2*w**m.\nAnswer: w**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q*(q\/q**28)\/q))\/q))**45 assuming q is positive.\nAnswer: q**(-1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20769.\nAnswer: 3, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5552 times -8.8\nAnswer: -4.88576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - -276. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**(-8\/11)\/(c*(((c**(2\/3)\/c)\/c)\/c)\/c)**(-4\/39) assuming c is positive.\nAnswer: c**(-172\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.082 - 0.082. Is 1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a factor of 45763138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 1212325.8.\nAnswer: 14547909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(84) - (sqrt(84) + 2*sqrt(84))) + sqrt(84)) - sqrt(84)*2*-4)*-2)\/((6*(sqrt(108)*2 + sqrt(108)) + sqrt(108))\/((-1*sqrt(45))\/sqrt(5))).\nAnswer: 8*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13889*n + 1668*n - 631*n = 1567230 for n.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/58863 and 99\/38.\nAnswer: 2236794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 5:03 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264084 and 726604.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/4 + 420423*k**3\/2 - 58918499643*k**2\/4.\nAnswer: -3*k**2*(k - 140141)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2062651580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670, 5268, 17726, 41974, 81942, 141560, 224758?\nAnswer: 335466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 2*t**3 + 0*t**3 + 8*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -b - 2*b. Is 7 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -74\/3, 34, 3\/2 in decreasing order.\nAnswer: 34, 3\/2, -3, -5, -74\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0983 to 2 decimal places.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 3, 97, -1, 6, 28, -2.\nAnswer: -185, -2, -1, 3, 6, 28, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-60))\/(137151\/(-1960) + 70)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 195892 - 2\nAnswer: 195890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5330769.12811 and -0.3.\nAnswer: -5330769.42811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w. Suppose 0*d - 12 = -3*d. Solve -2*p = -4*l - w*p - 4, -d*l - 8 = -3*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.1 - -19.6. What is the closest to 0 in 2, -0.3, y, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g - 37. Let n be t(5). Put n, 7, 3, -3 in increasing order.\nAnswer: -3, 3, 7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2475\/(-30)*40\/50?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 789868 or 4739203\/6?\nAnswer: 789868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) + 1))**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 12. Suppose 2*i + 84 = -5*i. Let q be 12\/(-8)*((-16)\/i)\/2. Which is the second smallest value? (a) m (b) q (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 490*u - 1247*u + 3535*u + 8805*u as z + h*u and give h.\nAnswer: 11583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15576 and -0.5.\nAnswer: 0.07788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 226. List the prime factors of ((-12573)\/w)\/((-2)\/(-16)).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-6\/5)*n*n\/n**(1\/14)*n assuming n is positive.\nAnswer: n**(191\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -4, 22, -3 in increasing order.\nAnswer: -10, -5, -4, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n. Let p(b) = -6*b**2 - 1174*b. Calculate q(p(i)).\nAnswer: -24*i**2 - 4696*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2043 times 0.1\nAnswer: -0.02043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294 - -318. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12214 - 145?\nAnswer: 12025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.3, 2\/9, -7, -113\/25, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 96658530?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121965, -243920, -365879, -487848, -609833, -731840, -853875, -975944?\nAnswer: -1098053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cscp when four letters picked without replacement from sssmfccpcmpscs?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*p**3 - 4*d**2 - 2*d*p - 12*p**3 wrt d?\nAnswer: 4*p**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/5)\/15)\/(10\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -202141298\nAnswer: 202141297.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -1510, -2276, -3056, -3862, -4706, -5600?\nAnswer: -6556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (-63 - -45) - 14.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3215 - 3220. Sort 4, -16, g, 0.\nAnswer: -16, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/((-24786)\/(-180))*-2 + (-7)\/(-3)*1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i + 6. Let r be o(6). What is the common denominator of -1 - 0 - (-51)\/r and (-435)\/198 - 1\/(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) -2\/51 (c) 4 (d) 3\/2 (e) 1\/4 (f) 0.96 (g) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (10\/(-8))\/((-7)\/28) and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 3)*(-116*v + 117*v + 251 + 54 + 88) to g*v + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7367, 0, -4, 2, 4, -5 in decreasing order.\nAnswer: 4, 2, 0, -4, -5, -7367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 10) in base 4?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlvvquoqssovvlllluq. Give prob of picking 2 u.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 328664.1 weeks?\nAnswer: 198776047680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -6*y + 135312, 5*y = -2*t + 26765 + 40875. Is 94 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -248. Suppose 5*g + p = 3*p - c, p - 164 = 5*g. What is the common denominator of ((-54)\/g)\/((-16)\/96) and 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*i - 260, 5*b = 2*i + 2*i - 260. Let u = b + 87. Let o be ((-3)\/(-2))\/(3\/28). What is the highest common factor of u and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let h(u) = -u**3 + 17*u**2 + 19*u - 17. Let c be h(18). Sort 0.5, c, w in increasing order.\nAnswer: w, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-1.3\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**6\/360 - y**5\/120 + y**4\/6 - y. Let b(z) be the third derivative of r(z). Suppose 1919*m + 3 = 1916*m. Determine b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12280582 (base 9) to base 3\nAnswer: 102022200122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**5 - 2*p**2. Suppose -d = -4*u - 1 - 39, 4 = -d. Let r(c) = 2*c**5 - c**2. Let s(z) = u*r(z) + 6*x(z). Find the third derivative of s(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 1:07 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1648, -2745, -3588, -4051, -4008?\nAnswer: -3333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 65*r + 30. Let v be o(-18). Round v to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.2. Let v = -0.3 + 0.2. Suppose -5*h + 2*h = -3*t + 6, -4*t - 2*h - 10 = 0. What is the nearest to t in v, -4\/3, o?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 divided by -3?\nAnswer: -1279\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 58*i - 6288. Determine w(105).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let t(d) = 5*d**3 + d**2 + d + 1. Let v be t(-1). Let i be q(v). What is the units digit of (0 - -1) + -1 - i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84480 + -56768. Let b = u - 16512. Round b to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1060 and 10352520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - -135. Let l be 1 - (-1)\/(3\/t). Solve -2*a = a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 9*m = -3*z + 3765, 5*z - 6280 = -4*m. Does 42 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(45\/(-152)) + 2\/(-5). Let q(z) = z**3 - 30*z**2 + 12*z - 20. What are the prime factors of q(o)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -1, -1\/9, 1.\nAnswer: -1, -1\/9, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 908, 1262?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*s + 216*s - 618 + 310 + 308 + 133*s.\nAnswer: 227*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let z(l) = -10*l**2. Calculate z(a(k)).\nAnswer: -10*k**2 + 20*k - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 1.3. Let x = -5810 - -5813. Which is the second smallest value? (a) -0.3 (b) x (c) 8 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 61*o + 54. Let s be t(16). Is (-1 + 308\/(-8))\/(s\/(-1644)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.07 (b) -4 (c) -1\/4 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 99224840*u - 492278443651280 = 0. What is u?\nAnswer: 9922484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.872 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12180 and 16849.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 - 2*(-9 - (-6 + -2))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*k**4 - 41*k**4 + 100*k**4 + k**4 + 0*k**4 + 2*k**4 + (0*k**2 + 0*k**2 + 2*k**3)*(2*k - 3 + 3).\nAnswer: 143*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -848.3 + 848. Let k = 34.5 + -24. Let g = k + -10. Which is the nearest to 1? (a) -0.1 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954227.5 decades in millennia?\nAnswer: 9542.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0412 - 321.9588. Let j = 320.3 + v. What is j rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.22 - 9.09967. What is v rounded to 3 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -h + 3, -43*c + 2*h - 68 - 94 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -475 + 440.9. Let r = -31.1 - v. Sort r, -12, -5 in descending order.\nAnswer: r, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 7 - 1092\/2. Calculate the common denominator of 2483\/d + (-2)\/7 and 65\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 151*g - 2102. Determine d(17).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 1, i: 1, a: 8, y: 5}. What is prob of sequence ai?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 12558*v + 62800. Give k(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 5 + (21 - (27 - 54 - -39))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2668*g**2 + 196855*g**2 + 26336*g**2 - 5*g + 115478*g**2. Let n be q(5). What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**3\/3 + 5*b**2\/2 + 4*b + 1. Suppose 9 = -5*c - 36. Let y = c - -5. Calculate r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let g(j) = -9*j + 0 - 8 + p. Let c(o) = 8*o + 5. Let l(u) = -5*c(u) - 4*g(u). Determine l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(88) + sqrt(88))\/sqrt(11))\/(sqrt(4) - sqrt(196)*-2)*-3.\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 a when four letters picked without replacement from alaaaldddddldl.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:50 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 3876\nAnswer: -7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -54345212?\nAnswer: -54345142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -17*k - k + 1212. What is the lowest common multiple of k and 2737?\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 6, h: 1, i: 1, v: 6, p: 2}. Give prob of picking 1 x and 1 p.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43 and 1831?\nAnswer: 78733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3 and -22\/1731.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 1272\/13. Put -2\/7, f, 3 in ascending order.\nAnswer: -2\/7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trtrr. What is prob of sequence rrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 5*u)*((0*u - 2*u + u)*(3*u - u - u) + 5*u**2 - u**2 - 2*u**2 - 4*u**2 + 8*u**2 + u**2).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = t, 0 = 4*a + 3*t + 100. Is 8 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 113. Suppose 3*m - 4 = f. Let n = 9 - 3. Calculate the greatest common divisor of m and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(1\/10)))\/o*o**(2\/5) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -242000 (base 5) to base 7\nAnswer: -35145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 + 8*h - 259.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + k**2 + k + 1. Let r(v) = -11*v**3 - 6*v**2 - 5*v - 73. What is 6*a(z) + r(z)?\nAnswer: z**3 + z - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c - c + 2*c + 3*c. Let f(q) = -5*q**2 + 2*q - 2. Let h(l) = -60*l**2 + 25*l - 25. Let i(w) = 25*f(w) - 2*h(w). Determine d(i(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 538. Determine r(9).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -5\/24*y**4 + 0*y**3 + 0 + y**2 + 0*y. Let l(x) = -2*x. What is t(l(j))?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 235932 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 2*q**2 - 2*q + q**2 + 0 + 0 + 2*q**2 - 3*q**2 - 5*q**2 + (2*q**2 + q**2 - q**2)*(-2 - 2 + 5) + 8*q**2 + 3*q**2 + 0*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -12333012?\nAnswer: -12333021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**6)\/(h*h*h*h**(5\/3)*h*h*h)*(h*h**(3\/2))**(7\/2) assuming h is positive.\nAnswer: h**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aiaaaiiaaiiaa?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52177 and 9.\nAnswer: 469593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 + 6?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 479*j - 4286. Let f(q) = 10*q**2 - 3*q - 3. Calculate the remainder when f(-2) is divided by k(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.44167\nAnswer: -0.34167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 769901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 113*s + 111. Let r be p(-1). Is -1\/2623 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 3*r**2 - 4*r**2. Let y(x) = -94*x + x**2 + 94*x + x**2. Calculate y(k(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 44*y + 0*y - 3.\nAnswer: 44*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18307 + -18298. Solve 0 = -0*l + 9*l - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 3*l**2 - 13 - 4*l**2 - 7 + l to the form f + h*l**2 + r*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -g. Let q = -0.023 - 0.026. Let x = -0.849 - q. Put x, g, -2 in descending order.\nAnswer: g, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*c - 10 = 3*s - 6*c, 0 = -4*s + 4*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11, -3\/2, 556, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(2 - ((-74)\/(-20) + -2)). Let u = 174 - j. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 45. Let d = k + -22. Sort d, -5, 5\/2.\nAnswer: -5, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1496, 6387, 14614, 26177, 41076, 59311, 80882?\n\"Answer: 1668*v**2 - 113*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 2241*d - 13*d**3 - 2241*d + 0*d**2 + 0*d**2 + 4*d**3 + (4*d + 4*d - 6*d)*(2*d**2 - 3 + 3) to the form l + p*d + k*d**2 + t*d**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*h**2 - 108*h + 15*h**3 + 918*h**2 - 228*h**2 - 229*h**2 - 226*h**2.\nAnswer: 15*h**3 - 108*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -850\/7, 2, -2\/17, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 13, e: 5}. What is prob of sequence dhd?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**3 + 31*l**2 - 64*l - 4. Let c be a(2). Which is bigger: c or -26?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2274 * 47\nAnswer: 10.6878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1212 + 270 = 2*k. Let q = k + -487. Suppose 0*c + q = 2*l - 4*c, c = -5*l + 690. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3600 or 68428\/19?\nAnswer: 3600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/60)\/(-1)*(-23)\/(621\/18).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 + 6*b + 4. Let r(p) = -p**3 + p + 1. Let h(o) = o**2 - 12*o + 31. Let q be h(5). What is q*r(u) + c(u)?\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooyoyyyyoy. What is prob of sequence yyy?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:52 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 21?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from ttttttttbttttbtb.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 31 - 5*y + 57 - 16*y**3 - 28 + 3*y**2 + 6*y**4 - y**4 to the form x + q*y**4 + f*y + a*y**3 + t*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, -3\/8, -2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = 3*h - 4, 0 = 3*h + 3*z + 12. Let p be -5*(h\/(-3))\/1. Let o = 26 - p. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2 = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42266.38 years to centuries.\nAnswer: 422.6638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/5478 and 67\/162540477?\nAnswer: 325080954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -186 (c) 0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 9886 = 1164. What are the prime factors of d?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -9, 0 = 3*i + i - 5*v + 373. Let g = i - -369. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184505 and 4955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 4*c**3 + 10*c**4 + 50*c**4 - 42*c**4 + c - c to the form j*c**2 + a*c + v*c**3 + g + r*c**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -100. Let b(w) = 4*w + 5*w - 11*w + 3*w + 6. What is b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2 + 17. Let z = a - -13. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24483547 to the power of 1\/2, to the nearest integer?\nAnswer: 4948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 366625769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37.18 (b) -3\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -395 greater than or equal to -17.3371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*t - 273*t - 675*t.\nAnswer: -829*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbb when four letters picked without replacement from {n: 1, i: 3, s: 1, b: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22210012022011 (base 3) to base 10\nAnswer: 4668736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose -2*t - 80 = 3*t. Let d = -17 - t. Sort z, d, -5 in ascending order.\nAnswer: -5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 2. Let c be q(0). Suppose -c*j + 0*j = 0. Let o(u) = 50*u - 295. Let i be o(6). Solve -i*d = -j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 7. What are the prime factors of (v\/5)\/((-8)\/20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 2, t: 6, c: 5, h: 3}. What is prob of sequence ohbh?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(4\/5))\/((n\/n**(1\/3))\/n))\/(n\/(n*n**5)*n\/n**4)*((n**(-2\/7))**30)**2 assuming n is positive.\nAnswer: n**(-904\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 3*f**2 - 88*f + 90. Give c(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r + 4 - 4 - 3*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-2 - -3) + 0. Suppose 6*q = f*q - 8. Is 135\/6 + q\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 123.578 years?\nAnswer: 1.23578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7979983 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*x**4 + 20*f**3*x + 57*f**2*x**4 - 2 wrt x.\nAnswer: -24*f**3*x**2 + 684*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 1 + (-1390)\/3. Let w = -470 - s. Let w*n**4 - 4\/3*n + 4\/3*n**3 - 4\/3*n**2 + 0 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 38 = -2*k, -5*q + 10*q - 104 = 4*k. Put q, -1, -6 in descending order.\nAnswer: q, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-11)\/2))\/((-5)\/(-1))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9 = -p, 9871*p + 4*j + 60 = 9875*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 - 199.4. Sort -1, 0.1, 0.7, h in decreasing order.\nAnswer: 0.7, 0.1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 42, 0.8 in increasing order.\nAnswer: 0.8, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d*d*d**18))\/d**(-12))**(1\/34))**(-3\/4))**(-2\/21) assuming d is positive.\nAnswer: d**(-3\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*m**3 - 5349*m**2 - 2448591?\nAnswer: 159*m**2 - 10698*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**3 - 56 + 56 + (-2*u - 3*u + 4*u)*(6*u**2 + 4*u**2 + 0*u**2) to r*u**2 + t*u**3 + h*u + g and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 2. Let t be o(-2). Let k be (21\/t)\/((-1)\/(-24)). Let w = k - -163. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -245, 246, 1475, 3688, 7131?\nAnswer: 12050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -881, -873, -865?\n\"Answer: 8*i - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2 + 1684*v - 141116. Let k(t) = -200*t**2 + 37050*t - 3104550. Let s(p) = 2*k(p) - 45*l(p). Suppose s(f) = 0. Calculate f.\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8856)\/(-19926)*(-27)\/14.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 69*f**4 + 12*f**3 + 67*f**4 + 3 - 3*f**2 - 6 to q*f**3 + v*f + l*f**4 + h*f**2 + b and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211210010 + 1012?\nAnswer: 2211211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3 + 14*v - 17*v + 12*v. What is k(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyehv. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = m - 25, -m - 23 = -2*m + 2*f. What is the highest common divisor of 95 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*v + 43, 3*t - 4*v = v + 36. Let a(k) = 4*k + 72. Does 20 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 9. Let p(v) = -7*v**3 - 4*v**2 - 7 - 3*v**2 + 8*v**3 - g*v. What is the lowest common multiple of p(8) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Suppose 8*a - 14*a - 12 = 0. Let v(r) = -3*r**3 + 2*r**2. Determine a*o(u) + v(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**20\/(i*(i*i**(-2\/43))\/i) assuming i is positive.\nAnswer: i**(819\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1090976.09 to the nearest 10000.\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {m: 6, l: 2, t: 1, i: 1, g: 1, f: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 366937409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 383*m**2 - 530*m**4 + 1060*m**4 - 2*m**3 - 540*m**4 wrt m.\nAnswer: -240*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*h + 6753 = -17*h + 27953. Which is greater: h or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q**(-2\/5))\/(q**(2\/3)\/q)**(-14))\/((q*q\/(q\/(q*q*q**(-1)*q*q)))**(-17)\/(q**0)**(-7\/5)) assuming q is positive.\nAnswer: q**(914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-3)\/((-6)\/(-2)). Let t be g - -3 - (5 - 6). Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167 + -163 - (117\/6 + 4\/(-8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6377575053 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 + 12*l - 8. Let g = -20 + 29. What is the remainder when x(g) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 5*k + 5. Let r be q(-5). Let v(m) = 10*m**2 + 5 - r. Let t(a) = -a. Determine t(v(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 66310.\nAnswer: 66310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1190030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1765 - -2550. Let r = n - 785.4. Which is the third biggest value? (a) r (b) -6\/11 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*y + 14, -4*n - 4*y + 8 = -6*n. Let t(j) be the third derivative of -j**5\/15 + j**4\/12 - j**3\/3 - j**2. Let c be t(n). Are -15 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*k - 214*k - 220*k + 648*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -7 + 31. Suppose -2*t = 5*q - 15, -q + 2*q - t = b. Solve x - 9 = -q*x + m, -7 = -5*x - 3*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acctkaycktac. Give prob of picking 1 c and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:34 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -12*k**5\/5 + 4*k**2 + 13. What is the second derivative of y(g) wrt g?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 12368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 5 (c) 12.9 (d) -2\/13 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.41 - -0.22. Let b = -0.29 + d. Round b to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15354170?\nAnswer: 2, 5, 13, 83, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232110 a multiple of 487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g - 22. Let v(r) = r + r - r + g. What are the prime factors of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*b = -3*s + 8, -4*b + 29 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1260.34328 - -452.\nAnswer: -808.34328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26777 times -4777?\nAnswer: 1279.13729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffcffccfcff. What is prob of picking 2 c and 1 f?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50551511.\nAnswer: 50551511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -3 (b) 191 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/624)\/(4\/(72\/15))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917249 > -30\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -33 (c) -5 (d) -0.07 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/33 (b) -0.5 (c) 4\/11 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*m**4 + 3*m**5 + 27*m**4 + (m - m - 2*m)*(0 - 2*m**4 + 0) + (-3*m + 2*m + 3*m)*(-m**4 - 2*m**4 + 0*m**4) + 3*m**5 - 5*m**4 + 5*m**4.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 2, f: 2, s: 1, d: 1, q: 2}. What is prob of picking 1 d, 2 c, and 1 f?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 20622, -1805 in descending order.\nAnswer: 20622, -2\/5, -1805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188709 is divided by 1763?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u**2 - 2*u)*(584*u - 133*u + 73*u)*(-3 + 8 - 1).\nAnswer: -4192*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**2 + 1210295*v + 5304694?\nAnswer: 6*v + 1210295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/((-624)\/60))\/((-5)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/10 - c**4\/6 + 5*c**3\/3 - 3*c**2 + 6*c + 3. Suppose f(v) = 0. Calculate v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400\/(192\/12)*66\/(-55)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 - -13)\/6*258. Are b and 46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 66 - 57. Let z = 112 + m. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -14. Let p(g) be the first derivative of g**3\/3 + g**2\/2 - g - 14998. Let r(n) = -8*n**2 - 6*n + 7. Calculate o*p(c) + r(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:06 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-5) + 0\/(-5 - -9) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 - m + 3. Let o = -5 + 5. Let k be p(o). Differentiate 7 - k - 3*u**2 + 1 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/2520 - o**6\/720 - o**4\/6 + 5*o**3\/6 - 46*o**2. Let s(j) be the second derivative of f(j). Factor s(k).\nAnswer: -k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/20 - 5*d**4\/6 - 5*d**3\/6 - 13*d**2 + 4*d. Let a be j(11). Let q = 37 - a. Put q, -5, 32, -2 in increasing order.\nAnswer: -5, q, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {g: 2, h: 1, p: 1, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7982\/9 at least as big as 886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 240 = -3*y, -38 = -4*v + 3*y + 406. Let n = -30 - -59. What is the remainder when v is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 2\/3, -4, 0.38, 42\/5, 6?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**7*t*t*t)\/t)\/t)\/t**(2\/5)*(t**(-2))**(1\/11))\/(t**(-2\/7)*t*t*t**(-6)*t*(t**(-1))**(-10\/13)) assuming t is positive.\nAnswer: t**(49723\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 2, 9, -4 in ascending order.\nAnswer: -8, -4, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32025 and 22705725?\nAnswer: 22705725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 21 (c) 1688 (d) 4\/5 (e) 299 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29, -22, -7, 22, 71, 146, 253?\n\"Answer: s**3 - 2*s**2 + 6*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 2, m: 7, k: 3, c: 5}. What is prob of sequence kmp?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5520*y + 10 + 1 - 5508*y)*(3 - 3 - 2) to the form m + h*y and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111111010101111010 (base 2) in base 8?\nAnswer: -2772572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 78*x**2 + 3*x + 83. What is d(-39)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 160 + 187 = -34*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.586307 hours?\nAnswer: 5710705.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v**3 - 122 - 219*v + 6*v**4 - 1\/5*v**5 + 0*v**2. Find the first derivative of r(d) wrt d.\nAnswer: -4*d**3 + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006382 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 3746 in descending order.\nAnswer: 3746, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 50 + (66 - 200)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - 2*x + (-x + x - 4*x)*(0 + 0 - 1))*(-2 - 7 + 3).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89716049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/((-426)\/1917)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 150. Let i be -1 + (d - 68\/(-16)). Which is the biggest value? (a) i (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 - 44 = 14*v. Calculate the greatest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**3 - 5*v**2 + 3*v + 5. Let u(q) = 17*q**3 + 81 - 73 + 979*q - 484*q - 8*q**2 - 490*q. Let m = -8 - -3. Calculate m*u(t) + 8*r(t).\nAnswer: 3*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = -12*y - 200. What is the nearest to -0.2 in 0, y, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 44*w**2 + 17*w**2 + 0 + 956*w**2 in the form j*w**2 + c + z*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = y - 3*y. Suppose 0 = -f - 2*d - 3*d + 12, y = 2*d. Let r = 0.16 + 0.04. What is the smallest value in r, f, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*5\/50*5. Let f(i) be the second derivative of 1\/16*i**4 + 0 - 1\/4*i**r + 2*i + 0*i**2. Factor f(b).\nAnswer: 3*b*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3 - 163804*n**2 - 9842640*n = 0.\nAnswer: -60, 0, 41011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 41186 + 80629 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 11, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 + 57. Let m = 3 - -1. Suppose -3*f + 408 = -m*i, 0 = -4*f + 6*f + 2*i - k. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/20 + b**4\/4 - 5*b**3\/6 - b**2 - 6*b. Let p be o(-4). Solve -f = f - p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 12*z + 41. Let l be j(5). Suppose 0*i - 2*i = -12. Let b be (16\/6)\/(4\/i). Calculate the greatest common divisor of b and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 3)\/(6\/4). Solve -6*i + q*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10320320332 - 30?\nAnswer: 10320320302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84611459, 169222935, 253834409, 338445881, 423057351, 507668819?\nAnswer: 592280285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/132*(-3)\/(9\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-25)*h*h**29*h)**(-9\/5) assuming h is positive.\nAnswer: h**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 475 - 472. Suppose p*d + w + 7 = 6, 4*d - w = 1. Solve 2*k + 5 = q + 4, d = -q + 5*k + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*13\/117*0. Solve u + 0 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 560.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 1568279?\nAnswer: 1568279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 <= -4894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 9*z**2 + 10*z - 2. Let m be d(5). Let r = m - 23. Suppose r = 5*w - 2*o - 394, 2*w - 3*o = -2*o + 157. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 101.1. Let c = z - 43.9. Let b = 285\/1124 + -1\/281. Put b, 2, c in descending order.\nAnswer: 2, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2392 and -0.4?\nAnswer: 0.09568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.39 in -0.2, 1, -5, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-24))\/(780\/16965).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*c + 244*c - 265 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19522*g**3*k + 2*g**2*k + g**2 - 1030*g*k + 2*g wrt g.\nAnswer: 117132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 4, b: 1, y: 2, h: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-369)\/(-12)*(-96)\/(-36). Let s = l + -51. Suppose 5*q - 115 = 5*d, s = 5*q - d - 84. Calculate the remainder when 89 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3033*k**2 - 5 - 5997*k**2 + 3071*k**2 + 2*k.\nAnswer: 107*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 18*x - 13. Let f be b(5). Let g = f - 45. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 9*n**2 + 7*n - 2. Let d be v(-8). Let y be 6\/21 + d\/(-21). Solve 4*o + o + 15 = y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -19. Let q(w) = -s - 6*w**3 + 6 + 11. Let m(u) = u**3 - 1. Calculate -8*m(l) - q(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from eeess?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/3, 2, 1983733 in ascending order.\nAnswer: -2, 1\/3, 2, 1983733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 131192606.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46515 (base 7) in base 5?\nAnswer: 340134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211 + 214. Solve -24 = -4*d - 4*g, 5*g + 11 = y*d + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 less than 0?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1096, -1077, -1048, -1003, -936, -841?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 + -967\/4. Let w = 173\/164 - -8\/41. Factor -i*t - 1\/2 + 9\/4*t**3 - w*t**2 + 7\/4*t**4.\nAnswer: (t - 1)*(t + 1)**2*(7*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a + l, 10 = 3*a - 3*l + 1. Suppose 5*m - 5*r + 3*r - 40 = 0, -2*m - a*r = -30. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12070\/3 - (-1230)\/82)*(-1 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 14 - 14 - r**2 + 155*r**3 - 9*r**4 - 146*r**3 to x*r**4 + k + h*r**2 + u*r + p*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 6) + (-107)\/(-1). Let g = -214 - -306. Suppose -5*r - g + 222 = 3*l, 3*l + r = b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*p**2 - 401 - 844 + 1245.\nAnswer: -293*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94.01 - 94. Let t = -1.99 - -2. Let s = q - t. Which is the biggest value? (a) s (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1136*y**2 - 1136*y**2 - 19*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -517127? (a) 0.2 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25390 divided by 5.\nAnswer: -5078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/6*2*3\/(-15). Let p be 8 + ((-4)\/18 - (-25)\/(-9)). What is the nearest to -0.2 in n, p, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -2.10000055. What is d rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 6*j**2 - 4*j + 11. Determine y(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.88 - 14.88. Is 120\/11 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f = 62*f - 498. Round f to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5704767460 rounded to the nearest 1000000?\nAnswer: 5705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 + 235*v + 118 = 0.\nAnswer: -1\/2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 + 916*c**2 + 22537*c + 21620 = 0 for c.\nAnswer: -23, -1, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 202*s - 7*s**2 + 5*s**2 + 6*s**2 - 6*s**2 - 624.\nAnswer: 2*(s - 3)*(s + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - a = -5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0*i**7 - 7\/3*i**4 - 23*i + 0*i**2 + 0 + 0*i**3 + 3\/28*i**8 + 0*i**6 + 0*i**5. What is the third derivative of g(c) wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5391*73394\nAnswer: 395667054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13022.\nAnswer: 2, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33771\/5 + 6755. Factor 0*c + 0 - m*c**5 + 28\/5*c**4 - 24\/5*c**3 + 0*c**2.\nAnswer: -4*c**3*(c - 6)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -28\/9 (b) 0.3 (c) 352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18313.478 to the nearest ten.\nAnswer: 18310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*v - 113812 = -456*v. List the prime factors of v.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -3*i. Let u(w) = 6*w**2 - w - 2. Let s(t) = 11*t**2 - t - 3. Let f(m) = 3*s(m) - 5*u(m). Let y be f(-1). Put y, -2, i in ascending order.\nAnswer: i, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -23, -36, -65, -116?\n\"Answer: -x**3 + x**2 + x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 55 - 61 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5604, 3, 19, -28, 0, 5, 1.\nAnswer: -5604, -28, 0, 1, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-2 - 9) + 4 + (88 - 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(0 - 1)*3. Let a(l) = 2 - n*l**2 - 2 + 1. Let f = 0 + 1. Calculate a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66956 or -66953?\nAnswer: -66956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67704668?\nAnswer: 2, 647, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/19)\/i))**(-14) assuming i is positive.\nAnswer: i**(-560\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 616 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35a + -5?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -237, -236, -235, -234, -233?\n\"Answer: x - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 326182766 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230307578*n - 1133026611 wrt n?\nAnswer: 230307578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 24531.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739147 is divided by 580.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154163954?\nAnswer: 2, 59, 79, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/5 + 8\/20. Let z(k) = k**2 + k + 1. Let p(f) = 5*f**2 + 7*f - 6. Let i(y) = l*z(y) - p(y). Is i(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4408 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7165.096 kilometers in centimeters?\nAnswer: 716509600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x - 88*x = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {r: 1, g: 2, f: 3, t: 1, i: 3, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -5866715418.\nAnswer: -5866715416.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 1222\/39) + (2 - -13).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -89. Put -3, 1, t in ascending order.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:27 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9361 + 16661. Calculate the highest common factor of y and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171706678 by -18733.\nAnswer: 9166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1674 to the nearest ten.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/(-119) - (-396)\/(-14)) + -4. What is the common denominator of 1284\/(-16)*(v\/90)\/8 and 19\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -3.6 (b) 4\/3 (c) 589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54939423 + -1?\nAnswer: 54939422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -27*o - 1. Let u(c) = 3*c**2 - 36. Calculate u(l(p)).\nAnswer: 2187*p**2 + 162*p - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimm when four letters picked without replacement from {i: 3, m: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/10098 and 31\/2448.\nAnswer: 80784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 7, i: 2, o: 4, n: 1}. What is prob of sequence ag?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4\/4 + 7*j**3\/3 - j**2\/2 - 9*j + 283. Calculate g(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451 - 442. Suppose 3*p + 10*k = 12*k + q, k + 4 = p. Is p less than or equal to 6\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -119. Suppose 5*r + 3*g = -n*g - 125, 5*r + 4*g + 124 = 0. What is the units digit of (r\/15 - -2)*20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -128. Let j be -7 - (t + -1)*11. Round j to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = 4*t - 17*l - 1875, 0 = -3*t - 4*l + 1411. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 52*h - 49*h + 2, 2*h = -3*r + 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -104. Suppose 9*q = -2*g + 4*q + 50, -2*g + 5*q = -30. Calculate the greatest common divisor of g and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**3 - 4*r**2 - 29*r + 31. What is the least common multiple of l(1) and 61?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-81)*(-12)\/(-32)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxifii. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f + 1. Let z(u) = -u**3 + 7*u**2 - 9*u - 1. Let q be z(5). Let s(i) = 2*i**3 + 3*i**2 + 4*i - 6. Calculate q*j(w) + s(w).\nAnswer: -2*w**3 + 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 72*n**2 - 28*n + 8*n - 25*n + 3*n.\nAnswer: 72*n**2 - 42*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*r = -349*r - 29*r + 2094 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419369 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215 + -7. Let p = -127 - z. Let t(s) = 189 - p - 90 - 5*s. Give t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 - 29 = 3*m, 0 = 3*g - 2*m - 4. Let i be 30\/(-40) - g\/(-8). Let d be (i\/2 + 1)*0. Solve -3*b + 4*b - 4 = d, -b - 2 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - s. Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -602257 divided by -6\nAnswer: 602257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4869 - -4857. Which is the closest to 0? (a) -1 (b) -3\/8 (c) p (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1184 + 105. Let v = 1079.000874 + k. Round v to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/11130 and 3\/189301?\nAnswer: 300988590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 10. Let o be r(9). Suppose -1 = -2*w + o. Let g = w - -3. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 + 0*c**4 + 2*c**4 - 4*c**5 + (-3*c - c**3 + 3*c)*(4*c - 4*c + c**2).\nAnswer: -3*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*s = 576 - 69, -3*s = 3. Let d(q) = 18615*q + 511. Let h(n) = -73*n - 2. Determine i*h(a) - 2*d(a).\nAnswer: 73*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-636)\/(-477))\/(18\/108 + (-2)\/28)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 78. Suppose 8*t = -5*p + m*t + 13, -4*p + 14 = 5*t. Do p and 0.029 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264691.\nAnswer: 3, 11, 13, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t**(4\/5) assuming t is positive.\nAnswer: t**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -0.8, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65283.57 tonnes in kilograms?\nAnswer: 65283570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - 57*h**2 + 875*h - 3699. Let l(p) = 4*p**3 + 58*p**2 - 881*p + 3698. Let i(j) = -4*l(j) - 5*w(j). Factor i(d).\nAnswer: -(d - 23)**2*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63589025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8042 + 8041.999987549. What is n rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 98*o**2 + 204*o - 18. Determine q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, -3, -18, -39, -66, -99?\n\"Answer: -3*v**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*l - 14. Let f(u) = 13*u - 35. Let j(k) = -7*k + 18. Let h(d) = l*f(d) + 5*j(d). Is h(9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7671171770 and -0.1662?\nAnswer: 7671171770.1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3)\/(126\/4). Let v be 2*2 - (-5 + 0). Suppose 17*k - v = 8. Is f at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.266 + 5.146. Let t = 6.12 + -6. Let h = t + r. Which is the third smallest value? (a) 2\/3 (b) -2\/15 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 262530241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 2*w - 56 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -22*f**3 - 4*f**2 - 5*f + 2. Let s(t) = -26*t**3 - 3*t**2 - 6*t + 2. Calculate 6*s(p) - 7*w(p).\nAnswer: -2*p**3 + 10*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 275453612 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 16\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/15)\/((-1)\/3)*(-80)\/416?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-296)\/12)\/(3\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212175 or -212173?\nAnswer: -212175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8153.\nAnswer: 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 greater than or equal to -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 - 5 = 0. Suppose 3*z + 0 = o. Suppose -2*x + 12595 = 2*n + 3*x, 0 = -x - z. Round n to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382.138 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + v - 162, -3*q + q + 322 = 3*v. Suppose -q = -0*y - 4*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 5*p**4\/12 - 2*p**3\/3 - 5*p**2 - 7*p. Suppose 0 = 5*j + 3*j - 48. Let v be n(j). What is v rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/12 - 226*w**2. Let t(s) = -174*s. Calculate t(r(n)).\nAnswer: -348*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Let r(h) be the second derivative of -h**4\/12 - 2*h**3\/3 - 3*h**2 - 3*h. Give r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 52*k - 6. Let h(x) = -3*x**2 + 35*x - 4. Give -8*h(c) + 5*p(c).\nAnswer: -c**2 - 20*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14511, -14468, -14423, -14376, -14327, -14276, -14223?\n\"Answer: h**2 + 40*h - 14552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -271\/6. Let t = 0.01 + 0.99. What is the nearest to c in -4, t, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (30 - -23)) + 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -530604.02195 and -0.6.\nAnswer: -530604.62195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from {d: 17, l: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3104\/769 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 11:46 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-4) - 3\/12. Let u(x) = -x**2 - 10*x - 9. Let z be u(l). Suppose -4*t + 2*t + z = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9267789.\nAnswer: 3, 47, 65729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651650 to the power of 1\/2, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i**2 - 14*i - 15. Let w be d(5). Sort 1, 3\/2, w, -3\/7 in ascending order.\nAnswer: w, -3\/7, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.0084.\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282760 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -74.789.\nAnswer: -74.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(272) + 0 + 6*2*sqrt(272))*2)**2.\nAnswer: 213249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z - 0*v - v, 2*v = -3*z + 8. Suppose 5*h - 205 = -z*h. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 7*d - d + (-3*d + 9*d + 10*d)*(-1 - 3 + 3) as r + k*d and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194560.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kac when three letters picked without replacement from {a: 2, o: 1, k: 6, c: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 531*c + 12. Let x be l(2). Suppose 0 - 4 = -j, j = -5*r + x. Is 43 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5523 divided by -789.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 9) to base 5.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 1, k: 1, p: 2}. Give prob of picking 1 j, 1 p, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 7*c**4\/12 - 1979*c. Let b(z) = -10*z + 3. Calculate l(b(p)).\nAnswer: 700*p**2 - 420*p + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b - 4*b)*(3*b - 6*b - b) + b**2 - 5*b**2 + 3*b**2 + (4*b - 2*b - 3*b)*(b + 2 - 2) + 3*b**2 - b**2 + 0*b**2 + 5*b**2 - b**2 - 3*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-114)\/(-20) - (2 + (8 - 5)). Are 0 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14372\/6)\/(-9 + (-1719)\/(-189)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 109 - 98 = -10*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 107*w**2 - 1431*w + 365. Determine l(119).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)\/(b*b**(3\/11))*b*b*b\/b**13*b**(1\/4) assuming b is positive.\nAnswer: b**(-1057\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2007 - -2008 - (-46 - 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14136 + z - 27834 + 11*z + 7*z + 13698.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + 6*(-4 + sqrt(242) + sqrt(242)))**2.\nAnswer: -7128*sqrt(2) + 35580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 - 2*v + 197. What is the hundreds digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(25*z**4 - 49*z**4 + 25*z**4).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9*0 - -3. Suppose 6*y = x*y + 111. Suppose y = -b + 168. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x + 9. Suppose 4*r = 3*k - 32, -31 = 3*r - 4*k - 0*k. Let d(h) = -h**2 - 8. Let y(s) = r*d(s) - 4*w(s). Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 486 - 106. Suppose -3*w = -5*o - w - 373, 0 = 5*o + 5*w + r. Let u = o + 79. Solve -4*t - g + 18 = -3*g, 21 = 5*t - u*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 92*(-1)\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 723 - 1408 + 725)*(-5*g**2 + 0 + 0).\nAnswer: -15*g**4 - 200*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t - 18*t**2 - 20*t**2 + 0*t + 43*t**2 in the form x*t**2 + g + b*t and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10232, -10249, -10252, -10235, -10192, -10117, -10004?\nAnswer: -9847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/5 (b) -27.4 (c) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 122100 (base 3) to base 5\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 3:04 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*20\/(-24))\/(1\/90). Is -1348\/3 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4713*n**2 - 54*n + 1027*n**2 + 52*n to h*n + t*n**2 + b and give t.\nAnswer: -3686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 106. Let l = -649 - -653. Let s be (l\/(-18) - 13\/f)\/1. Which is the fourth biggest value? (a) -0.17 (b) 0 (c) s (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14001, -14006, -14009, -14010, -14009?\n\"Answer: t**2 - 8*t - 13994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 7*i + 3*z + 5 = 0, -3*z - 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30438, 121827, 274138, 487365, 761502, 1096543, 1492482?\nAnswer: 1949313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*y - 9. Suppose o - 3*o + 8 = 0. Let k = -3 + 6. Solve -5*x - k = 3*b + y, 4*b - o = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3\/2, 30\/91, -1\/4, -1\/3, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 11:50 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4867 + -5088.9. Let r = w + 233. Round r to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20235 and 31065.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.054, -1, 6, 0.1?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839809 is divided by 8067.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 - (-2 - -6 - -2). Let s(z) = -z**2 - 21*z + 33. Let g be s(u). Solve 2*l = -i - 8, -3*l - g = 2*i + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17604*o**2*r**3 + 21839*o*r**3 - 1114*r**3 + 1500*r**2 - r + 32 wrt o.\nAnswer: -35208*o*r**3 + 21839*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -10*t - 48. Suppose -594 = -b + t*b. Which is smaller: -55 or b?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 9*m**2 + 7*m - 2. Let o be g(-8). Let x be ((-4)\/(-6) + 1)*18\/o. Let w = 10 - -5. Solve v - x*j = -3, 8*v - 3*v - j = -w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888647 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 100001001101001011110010010?\nAnswer: 100001001101001011110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*s + 12, 2*w - s = -6*s + 24. Let c(g) = -10*g**2 + g + 12*g**2 + g + 2. Let v(q) = -q**3 - 3*q**2 - 2*q - 2. Calculate w*v(b) + 3*c(b).\nAnswer: -2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 52.24. Let i = 0.36 + c. Sort -2\/15, i, 4, -2 in increasing order.\nAnswer: -2, i, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 126 = 6*k. Let d = -57 + 79. What is the highest common factor of k and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/(-332) - (216\/66)\/6.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*q - 51 - 159 = 0, -115*q = 5750 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/252 and 151\/20271000.\nAnswer: 425691000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1726 - -1698.7. Let l = -39 + 12. Let s = j - l. Which is the third smallest value? (a) 0 (b) s (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/963 and -67\/963.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180150594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 560.4*-106499\nAnswer: -59682039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6061447 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 4. Let t be a(6). What is the smallest common multiple of 9 and t*(-3)\/(-6)*-12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. Suppose -5*m = -0*l - 4*l + 14, -4*l - 16 = 0. Let j(u) = -u**2 - 4*u + 7. Let v be j(m). Put h, v, 3 in decreasing order.\nAnswer: 3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**6\/(q**8*q))\/(q**(-1\/4)*q\/(q**(-3\/5)\/q)))**(-26))**(1\/6) assuming q is positive.\nAnswer: q**(1391\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 400. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3953726007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 2*x**2 - 2*x - 1. Let s be (1\/(-3))\/(2\/(-24)). Suppose -2*f = 2*t + 10, f - 3 = -s*f + 2*t. Determine v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*h + 20 = -7*l, 0 = -4*l - 3*h - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -51, -104, -177, -270?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 54*t**2 + 1. Calculate y(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360623.4km in millimeters?\nAnswer: 360623400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjghjjghggjj. What is prob of sequence jhjj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13737 - -13771. Suppose 249 = 4*c - 143. Calculate the remainder when c is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyyuuul. What is prob of sequence yyly?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 191, 527, 1185, 2273?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (35\/20)\/((-6)\/16). Let m = -0.0156 + -2.9844. Which is the smallest value? (a) m (b) 2 (c) 0 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d + 777 = -1486 - 1298 - 93 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26790347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(20\/(-8) - -3)*-2. Let r be (0\/f + 2)\/(3\/(-1)). What is the smallest value in -1, 2, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c + 0*c**3 - 2*c + 30*c - c**3 to the form y*c**2 + d + t*c + m*c**3 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 897371 and 5.\nAnswer: 4486855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 4*n + 6. Give g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j**2 - 19*j + 316. Let t(w) = 7*w**2 - 10*w + 158. Let p(l) = 4*b(l) - 7*t(l). Differentiate p(i) wrt i.\nAnswer: 6*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2005 (base 9) to base 13\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23411031 + -3?\nAnswer: 23411027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 480577893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*z = -6*v, 2*z = -3*v + 40. What is the smallest common multiple of v and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19762, 2\/5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15568409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b - 33. What is x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1238\/9 + -138. Which is the closest to -1? (a) n (b) -1\/2 (c) 2\/9 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10*g = 5*g + 313, 4*r - 440 = -g. What is the remainder when r is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7833509 is divided by 285?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 13 = -c, -2*t - 18 = 2*t - 2*c. Let i be (-2)\/(t - -2) - -19. Solve i = -2*d - s + 6*s, -12 = 5*d - 3*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*k + 675, 4*k + 240 = -5*u - 263. Is -132 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 16*t - 3*t)*(5 - 3 - 1) + 16 + 24 - 55*t + 52*t + (5 - 1 - 3)*(-t + 5*t - 2*t) + 3 - t - 3 + 2*t - 3*t + 2*t.\nAnswer: 13*t + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 55279846*j**2. Let v(u) = -13*u. Calculate v(x(q)).\nAnswer: -718637998*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-13)\/2)\/(1 - -5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*w - 3*l - 2, -w + 4 = -4*l. Suppose 2*n - 4*f + 4 = w, -4*f - 4 + 12 = 0. Let j(q) = q**n - 2*q**2 - 2*q + q - 13*q**3 - 1 + 3*q**3. Give j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069181176 plus 8934835?\nAnswer: 8934834.930818824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 494604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -1, 27, 89, 197, 363, 599?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13155827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4579*u**3 + 0*u**2 - 4556*u**3 + 0*u**2 + 9116*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -237 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6991*r + 24025*r - 81495 - 259185 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/605248 and -31\/252.\nAnswer: 5447232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e3d (base 16) to base 6.\nAnswer: 232421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14596 = -160*v + 125*v + 391*v for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(304)*-4)**2 - sqrt(304)) + -5.\nAnswer: -16*sqrt(19) + 19451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*v - 16, 0*c + c + 4*v = 8. Suppose -c*x + 847 = 71. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 19*j**3 - 4*j**2 + 16. Let v(c) = -19*c**3 + 3*c**2 - 16. Let o(y) = -3*s(y) - 4*v(y). What is the first derivative of o(p) wrt p?\nAnswer: 57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 6*u - 87 = -3*i, 1490 = -7*u + 1511 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 5. Let h be w(6). Let f = 5 - h. Suppose 0 = -t - n + 18, -3*t - f*n + 36 = -t. Calculate the smallest common multiple of 36 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5 = -5*m, 5*j - 2*m + 24 = -7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 2*x**4 - 2*x**4 + (-x + x - x)*(-1 + x**3 + 1) - 2*x**4 + 2*x**2 - 2*x**2 + 0*x**4 + x**4 - 2*x**4 + (-9 - 7*x + 9)*(-x**3 + 5*x**3 - 3*x**3).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 8 - 3 + 11.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.25 - -116.25. Let v = -212 + d. Let a = v + 97.9999939. Round a to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/15 - 172*h\/15 - 114608\/3.\nAnswer: 2*(h - 580)*(h + 494)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/120 - (-1)\/(-5). Let n be (1 - 4\/3)*-12. Sort j, -0.2, n in decreasing order.\nAnswer: n, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 9:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1394 - (-2)\/(-4)*(-52)\/26. What is the highest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20552\/36387 - 22\/39. Let g be 10\/75*(-713785)\/7464. Let p = g + i. Find the common denominator of -89\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6147563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 0*d**2 - d**3 - 6*d**2 + 11*d + 4. Let g(i) = -i**3 + i**2 + i - 7. Let y be 8\/(-36) - 6\/(-27). Let u be g(y). Give t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8*b = 190. Suppose b*a - 26 = 12. Solve -3*d = 4*y, -4*d = -a*y - 2*y - 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 2. Let i(v) = -8*v - 5. Suppose -h - 3*m = -6*h + 60, 5*m + 34 = h. Suppose 2*f + h = 4*l - 11, -3*l - 7 = 4*f. Calculate f*i(q) + 11*w(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -413 + 1680. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*g - 490 - 109 = -197 + 262 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 192 = -o. Let x be (1\/4)\/(28\/o). Which is the closest to 2? (a) 5 (b) 2\/13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/60*-4 - 1218\/(-315). Solve 3*g + 2*g + 2*d = -19, q*d - 37 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 423*o**2*x**2 + 1092*o**2 + 2*x**3 wrt x.\nAnswer: 846*o**2*x + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 3*b + 10. Let l be u(4). Suppose l - 2 = 4*k, j = k - 393. Calculate the remainder when 359*(-2)\/(-15) + (-52)\/j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1456*i + 1451*i + 5*h = -30, -2*h = 5*i - 58 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 3}. What is prob of picking 1 o and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0. Let o be (2\/(-5))\/(42\/60). What is the nearest to 2\/5 in w, o, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h - 201. Let o be c(-26). Suppose 12*x = o*x + 505. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1978, -15817, -53378, -126523, -247114, -427013, -678082, -1012183?\nAnswer: -1441178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 27192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/(-168) + (-9)\/(189\/(-35)) and -53\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21720 + 0)\/((-4)\/(-10)). What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**3*n**2 - 72088*a**3 + 139*a**2*n**2 + 231*a*n**2 + n**2 + 4*n wrt n?\nAnswer: -8*a**3 + 278*a**2 + 462*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 - 91. What is the highest common factor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 14*u**2 - 15*u + 18. What is the least common multiple of 54 and a(12)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39223 to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 139. Let x = 125.1 + v. What is x rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*w - 50*w + 103*w)*(-3 + 2 + 2) + (-21*w - w - 11*w)*(-1 + 2 + 0) to j + u*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-4))\/((-3)\/(-31632)*-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 25, -41, -125, -233?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*y = -0*y + 122, 3*f + 5*y = -98. Let i = f - -51. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:17 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**(4\/15)*t)\/t*t\/(t**(-1\/15)\/t) assuming t is positive.\nAnswer: t**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.037 + -0.037. Which is the nearest to y? (a) -2\/7 (b) 5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a + 2*a)*(-4 + 0 + 1) - 5775*a - 778*a - 2501*a - 1102*a to b + p*a and give p.\nAnswer: -10162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 15. Suppose p*n = 8*n. Solve 4*i + 3*v = n, -3*i = -6*i + 3*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2839, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*a*f + 13914*a + 289*f + 19 wrt f.\nAnswer: -34*a + 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 x when three letters picked without replacement from {d: 1, s: 2, x: 3, m: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 16 + 4*s)*(4*s**2 + 2*s**2 + 2*s**2) to z + t*s**2 + k*s + c*s**3 and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6522916*u**5 + 170688928*u**4 - 191539608*u**3 + 28518496*u**2 - 1144900*u = 0. What is u?\nAnswer: 0, 107\/1277, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + (-17 - -13) - -20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12626338.4 rounded to the nearest ten thousand?\nAnswer: -12630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/308*(-15)\/((-75)\/(-55))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 35 + -2 - (31 + -24 - 8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + y + 29 = -8*i, 3*i = -2*y + 14. Sort 5, 1, i, -4 in decreasing order.\nAnswer: i, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:21 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 33*p - 28*p = -34, 3*p = -4*v - 51 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38896 and 128699792?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 104 = -18. Let b = d - -99. Let c(t) = -t**2 + 16*t - 38. Let h be c(b). Solve -4*q = -13 + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2219.951437 to 1 dp.\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22862107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 3. Let h = 82 + -73. Let p(r) = -12*r + 6. Let d(i) = h*x(i) - 4*p(i). Determine d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, o: 3, z: 3, d: 1, u: 4}. Give prob of picking 1 d and 3 t.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*a + 153*a = -5*x + 3913, -3*a = -4*x + 3131. What is the highest common factor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -484*r - 1953. Calculate the remainder when n(-8) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6 = -3*g - 0, 2 = g - 4*q. What is the smallest common multiple of -2 + -3 + (23 - g) and 5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297*x + 297*x - 11*x**4 + 4*x**2 wrt x?\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1631283 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 + -17.2. Let s = -11 + 15. Suppose -f + 0 = -3. Which is the nearest to y? (a) -0.2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17346970 is divided by 87.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334 by 3.\nAnswer: -334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.1. Let w = 58 - 53. Which is the closest to u? (a) w (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 - 9*g + 3. Let x(b) = -5*b**2 - 8*b + 2. Determine 3*a(u) - 4*x(u).\nAnswer: 2*u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 63 = -2*c + 7340, -5*d = -c + 3652. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145582241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8848*s = 2359*s - 55397 - 333943 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqt when three letters picked without replacement from {k: 1, m: 5, t: 4, q: 6}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8696, 8702, 8708, 8714, 8720?\nAnswer: 8726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 divided by 8?\nAnswer: -459\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.224 to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 95809*k + 3064864. Determine o(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40515187 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: What is the product of -1.2409 and 0.3?\nAnswer: -0.37227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j*j**0)\/j))\/j)**(2\/111)*(j**9*j)\/((j*j*j**(-9\/5))\/j*j*j))**40 assuming j is positive.\nAnswer: j**(38992\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 48*a**2 + 145*a - 178. What is the remainder when h(-51) is divided by 145?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p + 29. What are the prime factors of w(-17)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/896*(-30)\/(-1)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) - -4*(2*sqrt(330) - sqrt(330)))\/(sqrt(30)\/sqrt(3)*6))\/((sqrt(396) - (sqrt(396) + (sqrt(396) + -1*sqrt(396)*1 - sqrt(396))))*-1).\nAnswer: -5*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -587, -529, -505, -527?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023 + 1010304?\nAnswer: 1004231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185573 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssssstsb. Give prob of sequence bsys.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9281839?\nAnswer: 7, 1325977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 149187*d**4 - 2532834*d**3 + 15955167*d**2 - 44182620*d + 45396300 = 0.\nAnswer: 778\/223, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*9\/(756\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065639 is divided by 503.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 33*n - 49*n + 28*n + 5*n**2 + 1. Let h(m) = -2*m**2 - m. Let k(j) = -3*h(j) - o(j). Determine k(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 775 + 12*v**2 + v**2 - 700 - 4*v - 2*v wrt v?\nAnswer: 26*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -111. Let z be (-5)\/(-2)*4\/5. Solve c*u + z*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13817.888 to the nearest 100.\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.088 + -27.588. Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 5*z + 109 = 0, 0 = -3*z + 8 - 2 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-4) + 2\/(-8). Suppose -5 = 2*i + q*s + s, 3*s + 3 = -5*i. Suppose 5*b - 35 + 10 = i. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*z + 4*z = 8130, -4*z + 2015 = h. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -496 * -1\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - f**2 - f - 1. Let h = 42 - 30. Let a be (-35)\/42 + (-2)\/h. Let r be a\/(1*(-4 + 3)). Let o(s) = -s**2 - s - 1. Calculate r*y(l) - o(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -25*q + 9. Let d(k) = -5*k + 2. Let n(h) = 11*d(h) - 2*t(h). Find the common denominator of (-54)\/(-14) + 3 + -4 and n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12)*(-60)\/150)\/(-2)*8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198)*-1)\/sqrt(9))\/sqrt(2) + 4 - (((1*sqrt(132) - sqrt(132)) + sqrt(132))*2)\/sqrt(12)*6)**2.\nAnswer: -104*sqrt(11) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t\/t**3)\/t*t*t))\/(t*t**(-2\/9)*t)*(t**(2\/5))**(-16) assuming t is positive.\nAnswer: t**(-278\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*19\/(-589)*-217?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 24, 6, 5, -5, 3, 17 in descending order.\nAnswer: 24, 17, 6, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4)\/(-2) + 0. Suppose -11*w - 79*w = -720. Suppose -7*m - 3*c - 44 = 0, -c = -m - 2*c - w. Is m at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 17*v + 5. Let l be j(5). Suppose -14*d = -19*d + l. What is the remainder when (129\/(-9))\/(2\/(-6)) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 + 229. What is the second smallest value in u, 5\/2, 1.8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 27*n**3 + 3*n**2 - 1. Give v(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 317 - 66. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknwrknrnwgkkwkkrkkk. What is prob of sequence rn?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from xxxhxhhxhuhhnhhhhhn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 + -3)*((-44)\/(-20) + -1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 + 1. Let u(y) = -11*y**2 + 43*y - 554. Let h(l) = -6*m(l) + u(l). Differentiate h(w) wrt w.\nAnswer: 62*w + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.3306.\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 70 = 3*l + 6, -4*l = 2*b + 118. Let o be 6\/l + 87\/27. Let p(m) be the first derivative of -3*m**2\/2 + 2*m + 3. What is p(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -424*s + 291. Does 3 divide n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7329.\nAnswer: 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 85*v - 57 - 982. Solve -v*c + 9*c = -8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1587*m**2 + 184. Suppose 3879 = -13*r + 3918. Let t(k) = 26*k**2 + 3. Determine r*y(b) - 184*t(b).\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6051.5 + 3478.\nAnswer: 9529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-1)\/((-24)\/(-32)). Solve q + 6 = -4*m, -m = -q + z - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -70) + 0 + -17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*l - c, 3*l - 66*c = -61*c + 13 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*d\/d**15*d assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 times 5.32879?\nAnswer: -650.11238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2 - 2 + 2 + s - 2 + (3*s - 4*s + 3*s)*(3 + 0 - 5) - 7201 + 7201 - 264*s.\nAnswer: -268*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39155*l**2 + 39138*l**2 + 1 - 1.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1273*g**2 + 43*g + 13. Is h(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 145, 327, 697, 1321, 2265, 3595, 5377?\n\"Answer: 11*t**3 - 5*t**2 - 2*t + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 8\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*u - 4*b, 5*u - 4*b = -0*b - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3373822 by -29.\nAnswer: 3373822\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 10 = 0. Suppose -a*s + 2 = -8. Let k(t) be the first derivative of t**4\/4 + t**2\/2 - 2*t + 7. Give k(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 436?\nAnswer: 5\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110200001 + 1102?\nAnswer: 1110201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 1\/6, 35, -0.2 in ascending order.\nAnswer: -11, -0.2, 1\/6, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -188, -4, 1, 2\/15, -5.\nAnswer: -188, -5, -4, 2\/15, 1, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 357635313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -r + 4*o - 2*o, 0 = -2*r + o - 43. Let x = -18 - r. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -2\/13, 4\/5, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -1052, -2371, -4218, -6593?\nAnswer: -9496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*x - 90 = -2*x, 33 = -2*u - x. Suppose -159 + 483 = 9*c. Let t = c + u. Solve -5*g - t = 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*h = -82, 0*h + 4*h = -5*j + 473. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 84*q - 788. What is the hundreds digit of j(41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - 106. Let r(w) = -w**3 - 6*w**2 - 7*w + 7. Let t be r(-7). Suppose 106 = -b + t. Sort b, v, -1\/54.\nAnswer: v, b, -1\/54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 minutes before 9:30 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let t(k) = -20*k - 2. Let m(w) = 6*q(w) + t(w). Suppose -i + 23 = a - 4*i, -5*i - 57 = -4*a. Let s(b) = 5*b + 1. Give a*s(p) + 3*m(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - p - 3 = 0, 0 = 719*l - 361*l - 356*l + 6*p + 18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 5520872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 4 (b) 0.08 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-18)*27\/3. Suppose -s - 5*m = -7, 2*s + 3*s + 5*m = d. What is the second derivative of 50*x**4 + 30*x - 8041*x**s + 8041*x**2 wrt x?\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5)\/x)**(2\/47)*(x**(-8))**(-2) assuming x is positive.\nAnswer: x**(742\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249\/498*-2*(-2)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32031120112 (base 4) in base 10?\nAnswer: 3724822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2186 (b) -2\/3 (c) -0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 + 7*r. Let j(u) = 3*u**2 - 2*u. Let b(t) = -6*h(t) - 21*j(t). Let m(k) = -8*k. Calculate b(m(d)).\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 8*c - c + 12*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103077369 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17474 - -2?\nAnswer: -17472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*h + 114. Calculate the remainder when h is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1834, -3664, -5494?\nAnswer: -7324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13141 + 1.86859. What is the nearest to r in 2, 3, 187\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 54*h - 196. Let s be x(-4). Suppose 3*j = -o - 3, -4*j - 6 = s*o - 2*o. Solve -3\/2*b + j - 5\/2*b**2 - 1\/2*b**3 + 1\/2*b**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 5*z + 5. Let a be s(4). Let v(h) = 11*h**2 - 7. Let c(w) = -6*w**2 + 3. Let k(b) = -5*c(b) - 2*v(b). What is the units digit of k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/19 (b) 6 (c) -63 (d) -0.4 (e) 86 (f) 0.5 (g) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 3*s - 23. Let l(w) = -w**3 + 7*w**2 + 2*w - 3. Calculate the remainder when x(-11) is divided by l(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -60 (b) 8 (c) 23\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5613517 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let h be (0 - 1)\/(1\/(-3)). Let d be (8 - 1)*1*h\/(-9). Which is bigger: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/3)\/(2\/(-6)). Suppose -6*f + 5 = -k*f. Suppose -2*n + 0*v + 5*v = -10, -2*v + 83 = f*n. Solve -2*i = 5*s - n, 0 = -2*s - 2*i + 2 + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -92?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 140 = -2*n. Suppose -4*o = -8*o + n. Suppose -41 = -h - o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = v - 8, -16 - 4 = -5*r - 3*v. Let h(l) = l**2 - 4*l - 8. Let n be h(6). Solve 0*u - n*s = -u + 16, -r*u + 19 = -s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 102 + 4784*v**2 + 63 + 57.\nAnswer: 4784*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 16. Let l = 9.4 + p. Put 0.3, l, 6 in descending order.\nAnswer: 6, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 100, 194, 322, 496, 728?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-30)*6\/(-2). Let o be g*(98\/4)\/(-7). Let x be 0 + (-1 - (o + 4)). Solve -x*d - 7 = 3*a, 0 = 3*a - 4*a + 5*d - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*129553.4.\nAnswer: 259106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16127\/5 - -3225. Which is the closest to 4.9? (a) 3\/5 (b) m (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23168 + 623. What are the prime factors of g?\nAnswer: 37, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1050*b - 947096. Give i(-902).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 12:24 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-10 + -2 + 3 - ((52 - 4) + -34)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 36.79\nAnswer: -18.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 844665.8 millimeters in nanometers?\nAnswer: 844665800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164890 at most as big as 6760496\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*c**2 - c**2 + 2*c**2 + 5 - 3*c**2 + 0 to t*c + q + s*c**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*i**3 - i**2 - 2 - 179*i**3 + 2*i**2 to k*i**3 + y*i + l + t*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26660563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13)**(-21\/4) assuming w is positive.\nAnswer: w**(-273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3761 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Solve z*x = x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 16*q**2 - 3*q + 16. Let n(g) = 2*g**3 + 32*g**2 - 8*g + 32. Let j(k) = -2*n(k) + 5*v(k). Determine j(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(-q - 7*q - 7*q - q + 4 - 4 + (-2*q - 2 + 2)*(-1 + 4 - 4)).\nAnswer: 70*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, -3, -0.5, -49\/3, 1\/5, 5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:02 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {u: 4, i: 10, h: 4, l: 1}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*n**2 + 152*n**2 - 3*n**3 + 151*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + r**2 - r - 1. Let z be x(2). Suppose 5*h - z = 20. Let l = 1 + h. What is the remainder when 29 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1357606 or -6788026\/5?\nAnswer: -1357606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {i: 5, a: 3, k: 2, o: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = -0, 834*s - 119 = -2*b - 2*b - 0*b + 835*s for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Factor -9*a - 15*a**2 - f + 6*a**2 + 6*a**2.\nAnswer: -3*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 24*j - 52. Give g(23).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4076, 8113, 12148, 16181, 20212, 24241, 28268?\n\"Answer: -l**2 + 4040*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -216874271 divided by -1?\nAnswer: 216874271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 111*i. Let s(z) = -z - 1492 + 1492. Calculate b(s(v)).\nAnswer: -111*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 312678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 736 and 736?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*q + 163510, -5*n = -8 - 2. Let w = q + -48496. What is w rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.005, 0.5, -19\/6.\nAnswer: -19\/6, 0.005, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 7946.\nAnswer: 31784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - 2 - (1 - 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*u - 14, i + 2*u + 2*u + 38 = 0. Let n = i - -60. Calculate the greatest common factor of 95 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:06 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a. Let j be t(-1). Let x = -8 + j. Let v = -3 + x. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8)*h**(-1\/4)*(h*h**3*h*h)\/(h*h\/(h*h**(3\/7))*h))\/((h**(-1)*h*h)\/(h**(-2)\/h)*(h\/h**(-3))\/h*h*(h*h**(-3\/5))\/h) assuming h is positive.\nAnswer: h**(-867\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -1\/5*f**2 + 1\/60*f**4 + 1\/30*f**3 - f + 0. Factor q(v).\nAnswer: (v - 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 6 = 0. Suppose 0 = 3*o + b*o. Sort -5, o, 4 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10756.12 millennia in years?\nAnswer: 10756120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3713.3952 + -0.3952. Let l = 3751.155 - i. Let r = l - -0.745. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6391?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 - 98*w + 189)*(3 - 3 + 2*w**2).\nAnswer: -196*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:37 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxqoxqcqocsxxccp. Give prob of picking 2 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 1 t when three letters picked without replacement from brombrtmooormwooorm.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -142*k**7\/105 - 1133*k**3\/2 + 12*k**2 + 40*k. Differentiate x(i) with respect to i.\nAnswer: -1136*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 590 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 2*i**2 - 5*i - 2. Suppose 4 = -6*o + 2*o. Let h = o + -2. Is u(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344722031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g + 11. Let q be i(5). Suppose 0 = d - 32 - q. Suppose 13*k = 6*k + d. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1893 + 427 = 390*j - 4*v, 2*v + 36 - 5 = j + 7*v for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 537388 + -313109. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (sqrt(9) + -4*sqrt(9)*-2) - sqrt(9) - sqrt(36)\/(sqrt(12)\/sqrt(3)))\/((sqrt(1701)*4)\/sqrt(7)).\nAnswer: -5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -0.2. Let d = -0.14 + -0.06. Let q = 55\/189 - 4\/27. What is the closest to -0.1 in f, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t - 621 + 159 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21698 = -15*w + 27517. Is w a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2659*s + 2632*s - 378 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6*v = 306. Sort 1, 4, v in descending order.\nAnswer: v, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 8*w - 5. Let j be (-438)\/(-14) - 6*4\/84. Let q = 24 - j. Determine y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26249253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from dhhhhhhhhhhhhhhhhh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/13))\/(r*r**(2\/11)) assuming r is positive.\nAnswer: r**(18\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -p + 11*k, -8460*p = -8464*p - 4*k + 28 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 301, 12, -4 in ascending order.\nAnswer: -5, -4, 0, 12, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441863 is divided by 147051?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000248685 rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o**8*o)\/o)))\/(o\/o**(-4\/7)) assuming o is positive.\nAnswer: o**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -477058 - -477057.8000028. Let s = -0.2 - r. Round s to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 20 = b. Let l(f) = -f**3 + 5*f**2 - 2*f + 6. Let p(d) be the second derivative of d**2\/2 + 11*d. Let x(h) = b*l(h) + 3*p(h). Calculate x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*(-132)\/(-132).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -228 + 4?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -29. Let p = 1 - -5. Let a be 1 - 1 - (p + k). Solve 0 = 2*r + 5*d - 18, d + a*d = 5*r + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889411595.\nAnswer: 3, 5, 1049, 120077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + q + 44 + 7*q - 3*q + 18*q - q.\nAnswer: 6*q + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/10 - (0 - 328). Let w = p + -186. What is the greatest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*k - 1 = 0, -71*k = 2*t - 76*k + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*n - n. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*l - 35*l - 6 - l**2)*(-4*l**3 + 0*l**3 + 6*l**3).\nAnswer: -2*l**5 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + (-4*sqrt(143)*-2 - sqrt(143) - sqrt(143)))\/(sqrt(88)\/(-1*sqrt(8))).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9373.21, -3\/2.\nAnswer: -9373.21, -4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4170 + 37528\/9. Sort 1\/4, -4, 3, 77\/4, y.\nAnswer: -4, y, 1\/4, 3, 77\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (357\/14)\/17*(-4)\/(-63).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 296, 434, 556, 656, 728, 766?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (13 + -3 + -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9540, -38156, -85842, -152598, -238424, -343320, -467286?\nAnswer: -610322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-7)\/(-7)*(2 + -1). Solve 0 = -2*m - g - o*g + 2, -2*g - 23 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*h + 129*h + 2*h**2 + 65*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 36, 76, 142, 234, 352?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 6*l + l + 2*l to c + z*l and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14162?\nAnswer: 2, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(32)\/sqrt(4) + sqrt(8))\/sqrt(4))**2 - (sqrt(8) + 3 + -6*sqrt(32)).\nAnswer: -11 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 0.1818.\nAnswer: 0.19998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*p - 145*p + 2*p)*(p + 2*p - 2*p) - 3*p**2 - 2*p**2 + p**2.\nAnswer: -244*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4116816170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141282 and 251168?\nAnswer: 2260512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:44 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:06 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 2*j**2 + 3*j + 2. Let b be r(3). Let y(v) = -3*v**2 + v + 2. Let s be y(1). Suppose 2*a + s*a = 3*a. Solve -b*t + a*t = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4, -0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*c - 102 = -z, 0 = -4*c + 12. Suppose f - p = 2*p + 8, -2*f = -3*p - z. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*a**3*l + 158*a**3 + 25*a**2 + 2*a*l + 2*a + 4 wrt a.\nAnswer: 294*l + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 + 168*k**2 - 3336*k\/5 + 3328\/5.\nAnswer: -2*(k - 416)*(k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04558674 rounded to three decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37328*f**3 + 76472*f?\nAnswer: 223968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-115)\/414)\/1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 5, -0.2, 0.37?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0058 - 0.3058. What is the smallest value in l, 0, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 7*o**2 - 9*o + 18. Let l be r(8). Let q = l - 519. Solve -19 = a - 5*x, -3*x = 2*a + q*a - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-3\/2))\/y))\/(y\/y**(-1\/4)))**(-25\/3)*(y**(2\/27)*y**7)\/(y\/y**(-9)*y*y**(-2\/3)) assuming y is positive.\nAnswer: y**(-1477\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35831 (base 15) to base 2\nAnswer: 101001101001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799936 is divided by 715?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*r - 4*f, 87*f = -2*r + 85*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 17*n**2 + 42*n + 62. Calculate the remainder when i(18) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130071697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 2*m - 2*m + 0*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -76*c + 8426. Does 10 divide h(-109)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422394?\nAnswer: 2, 13, 93169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-7 - 91\/28)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.018 and 1.7.\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-165)\/(-22)*2\/(-3). Suppose 0*x = -2*x + 4. Suppose 2*r = 2*s - x, -4*s - 4*r = -7*s + 6. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*o**2 - 3483619 - 914*o**2 + 3483619.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**2 - 117*v - 35. Determine m(11).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqq when three letters picked without replacement from dqqo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/2*o**2 - 3*o + 0 + 1\/3*o**3. List the prime factors of c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2547773*0.16.\nAnswer: 407643.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7725 or 7729?\nAnswer: 7729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -19, -11 in decreasing order.\nAnswer: 2, -5, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -0.38. Let h = -59.162 - -59.562. Sort j, -5, h, -0.2 in decreasing order.\nAnswer: h, -0.2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a**2 - 5*a**2 + 9*a**2)*(-a - a + 3*a) to q + u*a + h*a**2 + v*a**3 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32430091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (12 + -27) - (7 - -2)) + 106.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2429274 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179780.\nAnswer: 2, 5, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45378.95 litres?\nAnswer: 45378950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 - -1.8. Let n = 4.22 + -4.02. What is the closest to n in 0.3, -1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1751*i**2 + 583*i**2 + 588*i**2 + 584*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 + 204*d**3 + 281572*d**2\/5 + 2190144*d + 115261696\/5.\nAnswer: (d + 22)**2*(d + 488)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -2\/357, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (312*n + 557*n + 266*n + (2*n - 3*n + 2*n)*(0 - 1 + 2))*(2*n - 1 - 4*n + n) to c + x*n + k*n**2 and give k.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*c**4*n + 35465*c**4 + 6572611*c*n wrt c?\nAnswer: 540*c**2*n + 425580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 794729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082640754 to the nearest integer?\nAnswer: 32904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(75) + 4 + -2 + sqrt(75))**2 - ((5 + sqrt(243)*2)*-1)**2.\nAnswer: -20*sqrt(3) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*k = -105, -w + 4*k = -98 + 99 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.055, 3\/4, 9 in descending order.\nAnswer: 9, 3\/4, -0.055, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 - 2 + 8*w**2 + 2. Let g(x) = -6*x. Determine d(g(u)).\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-1))\/(2 - 4). Suppose a = 3*m - 4*d - 192, -4*d + 256 = 4*m - 0*d. Let p = 2 + m. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 + 7*a**2\/2 + 3*a - 6. Determine g(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 1, q: 1, a: 7}. Give prob of picking 2 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81777 is divided by 750.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, c: 5}. What is prob of picking 3 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0 = -2*d + 2, 5*d - 5 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48555 divided by 237?\nAnswer: 16185\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 14) to base 6.\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**3 - 2*h**2 + 9*h - 5. Let r(u) = 8*u**3 + 2*u**2 - 10*u + 6. Let y(d) = -5*r(d) - 6*z(d). Factor y(b).\nAnswer: 2*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*y**3 + 6*y + 12 - 4*y - 2*y - 50*y**2 + 23*y**2 wrt y?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 51*y - 55*y + 16, 3 = 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from vauvua?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 483, 1923, 4329, 7707, 12063, 17403?\n\"Answer: k**3 + 477*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 3.\nAnswer: -19, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044361221 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 9*q**2 + 30*q + 8. Let f be c(10). What is the common denominator of 14*15\/(-2)*(-17)\/f and 417\/(-182) - 2\/7?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 10, -5, 11946 in decreasing order.\nAnswer: 11946, 10, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.78 - 1.78. Let h = 4.43 + -0.54. Let f = -0.11 - h. What is the fourth smallest value in f, l, 5\/3, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/35*(-5)\/(-12). Let g be (-3 + 1)\/(-12) - (-152)\/(-624). What is the biggest value in g, i, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {q: 2, e: 1, g: 2, l: 3, d: 3, t: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112110000 + 110?\nAnswer: -112102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 5*b + 5. Let s be n(4). Let t = 8.3 - 13.3. Put 3\/7, s, t in descending order.\nAnswer: s, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-5) - 594\/(-440))*(-15)\/(-6). Factor -3\/4 + 3\/2*r**2 - t*r + 9\/8*r**3.\nAnswer: 3*(r - 1)*(r + 2)*(3*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1582 divided by -113.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {u: 2, y: 5, s: 3, p: 3}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u**3 - 35*u**3 + 121*u**3 - 44*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2143 - 2481. Which is the biggest value? (a) 1 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooi. What is prob of picking 1 i and 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 + 2*w + 6. Let f be c(-4). Let u = f + 0. Let s be u\/(-9) + 258\/54. What is the third biggest value in 0.1, s, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwwttwjtwwtltjj. Give prob of picking 3 w.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and 11.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.143 * 1001\nAnswer: 143.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2007*d - 6 = -2010*d. Calculate the remainder when 61 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31309396 is divided by 224?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 148*c**2 + 250*c + 403*c**2 - 250*c. Let k(o) = -o**2. Calculate k(z(b)).\nAnswer: -303601*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63518 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**4 + k**4 + 2*k**4 + (3*k**2 - k + k)*(-1 + 1 + 2*k**2) - 3*k - 3*k + 4*k**4 + 8*k as f*k + n*k**3 + d*k**2 + x*k**4 + s and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l**2 + 0*l**2 - 2*l**2)*(-132 - 2*l**2 + 132 + 4*l) to the form f*l**3 + n*l**2 + a*l**4 + r*l + j and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/140*(-2 + 2). Let j = -41\/3 - -14. What is t in x - j*t**4 + 2\/3*t**3 - 1\/3*t**2 + 0*t = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12*m - 1. Let p(o) = 1026*o + 3. Determine -p(n) - 2*w(n).\nAnswer: -1002*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-52)\/32*-1)\/((-4)\/(-32)). Let f = 1 + 1. Let s = -29 - -25. Sort k, s, f.\nAnswer: s, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18166, -18154, -18128, -18082, -18010, -17906, -17764?\n\"Answer: v**3 + v**2 + 2*v - 18170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 9*h - 9. Let t be y(-7). Let k = t - -34. Calculate the greatest common factor of 88 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -402 at least -402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2547\/12*(-8)\/9. Let p = -191 - w. Let a = -23 + 22. Is a equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*z**5 - 15189*z**4 - z**3 + 23*z**2 - 269435*z wrt z?\nAnswer: -360*z**2 - 364536*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 12530 = 5*q - 12500, 0 = -15*r + 2*q - 65 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + 3 + sqrt(396)*4 + (-3 + -2*sqrt(1100) - 1*(sqrt(1100) + sqrt(1100)*-1 + sqrt(1100))))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86091605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/3102231 and 117\/6688.\nAnswer: 1886156448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -13, -41, -81, -133, -197?\n\"Answer: -6*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*r + 109996 - 107626 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2604, 5211, 7818, 10425?\n\"Answer: 2607*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(((sqrt(27) - sqrt(3)) + 0)*1 - -5*(sqrt(27) + 0))*-1)**2.\nAnswer: 21675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, x: 4}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 325*n**3 + 1. Suppose 1 = -a + 2. Let q be x(a). Let m = -117 + q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30560\/42)\/16*72\/60 - 30\/(-21)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161472067811 less than 196?\nAnswer: -161472067615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 16*a + 0 + 3199\/6*a**3 + 2*a**2. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 13490*v - 134400 = 0 for v.\nAnswer: 10, 2688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = 20. Let f(c) = -c**2 - 1. Let b be (-2)\/10 - 22\/(-10). Let j(z) = z - 5*z**2 - 3*z - z**b - 5. What is h*f(t) - j(t)?\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 0, 22, -2 in descending order.\nAnswer: 22, 5, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 + w**5\/30 - w**4\/4 + 4*w**3\/3 - 717*w**2. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - 19. Let y = 414 - x. Suppose 3*h - 526 = -2*h - 4*f, 0 = 3*h + 5*f - y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 871910473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t - 15. Suppose -u - u = 3*f - 52, -5*f + 90 = t*u. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15*j + 86 = -11*j, -5*c - j + 149 = 0. Let n(r) = 2*r**3 - 3*r**2 + 2*r + 2. Let d be n(2). Calculate the highest common divisor of c and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5118540843?\nAnswer: 3, 13, 251, 522887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -6795 and -6938 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/7 - 6*s**4 - 38*s**3\/7 + 6*s**2 + 40*s\/7 = 0?\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4682.15 + 0.05.\nAnswer: 4682.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 1511*d**4\/12 - 558*d**2 + 2*d + 350. Differentiate c(w) with respect to w.\nAnswer: 3022*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 15*j**2 + 22*j - 601. Determine v(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 73 = 2*p - 53, -462*p + 4*d = -467*p - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.2 (b) 1\/2 (c) -2\/5 (d) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -1309, -1231, -629, 497, 2147, 4321?\nAnswer: 7019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 8*m - 3. Let l be s(-8). Calculate the common denominator of 156\/(-9) - (l + 1) and 26\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 - (-13 + 14)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343844.\nAnswer: 2, 67, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -131.4263, 0.3, 1, 0, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*m**3\/7 + 943014*m**2\/7 - 1257520*m + 2934344 = 0. Calculate m.\nAnswer: -52399, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004529 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109998, -109994, -109990, -109986, -109982, -109978?\n\"Answer: 4*h - 110002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - y - 39 = 0, 2*s - 5*y - 1 - 10 = 0. Let r = -30187 + 30186. Sort 4, 2, r, s.\nAnswer: r, 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46255*c**3*q**2 + 2*c**3 - 14*c*q**2 - c*q + 17140*c - 3*q wrt c.\nAnswer: 277530*c*q**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1236 and 42327438?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.9 in -0.3, 5, 0.2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790330 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467858 = -15*q + 57*q - 644050. List the prime factors of q.\nAnswer: 2, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44332341 (base 5) to base 3\nAnswer: 201122022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/479 - -483\/1916. What is the closest to 2 in 0.3, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 43. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.43 and -42.\nAnswer: -270.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -559601\nAnswer: -30\/559601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*i + 4*i - 52, 5*o = -2*i + 56. Suppose 27 = -5*z + d, -2*d = z + 2*d + i. Let a(w) = w + 5. Let q be a(z). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*i**2*s**2 + 72*i**2*s - 52*i*s**2 - 4*s - 18 wrt s.\nAnswer: 130*i**2 - 104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4 - -7) + (-6 - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53934.54646 take away 1.1?\nAnswer: -53935.64646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7743068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/263 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Let c(q) = -10*q. Let d(t) = -130*t. Let p(v) = 40*c(v) - 3*d(v). Give m(p(g)).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.32850407 to 3 decimal places.\nAnswer: 1.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62842 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 12. Let d(g) = -g - 13. Let l(c) = 3*d(c) - 4*u(c). Let w be l(-3). Suppose 11*r - 12*r + 2 = 0. Solve -r*a - a - w = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + l - 2. Let b be j(0). Let m be (-3)\/(-9) + 28\/(-30). Does b = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2\/61, 1, -4\/9?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*y = -16, 4*y - 1 = 3*v - 0*y. Let a be (-7)\/(v + (-4 - -6)). List the prime factors of (3\/3)\/(a\/49).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f*f**(-8)))*f*f*f**10)\/((f**7*f)\/(f\/(((f\/f**1)\/f)\/f*f*f))))**(-1\/10) assuming f is positive.\nAnswer: f**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (3 + 2)) + 6. Let z be 85\/(-10)*-10*5. Suppose u - v*h = -u + 170, 5*u + 3*h - z = 0. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325004 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471020556*l**3*w + 2*l*w + 61*l - 19622*w + 11 wrt l?\nAnswer: 2826123336*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46297010 by -9259402.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697972 (base 11) to base 7.\nAnswer: 12264645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24996518.\nAnswer: 2, 12498259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)*w**(1\/2) assuming w is positive.\nAnswer: w**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20175 = -935*m - 2265 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*t = 19, 1845*h - 1846*h = 4*t + 43 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34 = -q + i, -5*q = -2*i - 184. Let m be (0 + 0)*(-12)\/q. Suppose 5*l - 275 = -m*l. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(525\/(-70)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q**5 + 6*q**3 - 6*q**2 - q - 6. Let v(n) = n**5 - n**3 + n**2 + n + 1. Let t(f) = 6*v(f) + x(f). Find the second derivative of t(g) wrt g.\nAnswer: -180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bxbbjmbbbbbjb?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let d(k) = -k + 1. Let v(b) = -10*b + 11. Let s(x) = -44*d(x) + 4*v(x). Determine s(n(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 2*n**2 + 21*n**2 + 6*n.\nAnswer: 23*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124225111.\nAnswer: 124225111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -20. Suppose -2*z = 3*z - s. Suppose -28 = -2*h - 4*u, -3*u + z = h - 5. Solve 6 + h = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let m(d) = d**3 + 2*d**2 - 4*d. Let x be m(-3). Solve k*a - x = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5)\/((-12)\/(-15)). Let l = 9.5 - 9. What is the nearest to d in -2\/7, l, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 10. Let h be 3*j*(-604473)\/9. Suppose 113513 = 5*u - 2*n - h, 0 = 2*u + 5*n - 125990. What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjfiflw. Give prob of picking 1 i, 1 f, 1 l, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**4*h)\/h**(-4))\/(h*h**(2\/5)*h**(2\/15)))**(3\/23) assuming h is positive.\nAnswer: h**(112\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*i + 29*i + 5711 - 43026 = 0 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 13*k + 1. Let d be i(-13). Let n be d\/((-1 - 3)\/8). Sort 8, n, 5 in increasing order.\nAnswer: n, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-2))\/(-16))\/((-1160)\/(-1392))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20272 and 25234160?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/7455 and 85\/190848.\nAnswer: 954240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4299943648.\nAnswer: 2, 7, 11, 13, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.28, 9.2, -368\/9 in decreasing order.\nAnswer: 9.2, -0.28, -368\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -30330?\nAnswer: -1\/6066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11205100 and 1165900?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/5))**(-9)*p**(-6)*p**19)**(-17) assuming p is positive.\nAnswer: p**(-2023\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14532 (base 14) in base 11?\nAnswer: -34973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135\/2 - 137\/4*c - 1\/4*c**2 = 0. Calculate c.\nAnswer: -135, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508921 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 1) + ((-61 - -37) + 33 - 6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) -0.4 (c) -2 (d) -57\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25580651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 1\/4*t**2 - 9\/2*t + 0 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1204 divide 1042664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i - 2*i)*(-2*i**3 - 6*i**3 + 13*i**3).\nAnswer: -35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*s - 159*s = -3860 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10.4?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 5*v + 2*l - 31, -2*v = l + 35. Let c be (-15)\/v*1*(-12)\/(-15). Sort c, 5, -45.\nAnswer: -45, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 + 16*w**2 - 84*w = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0632 + -0.0259. Let u = -0.2657 - h. Let o = u - -0.3. What is o rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173409*y**3 + 12*y**2 - 293*y - 1.\nAnswer: 1040454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 11*j**2 + 12*j + 7. Let d be o(12). Suppose -76 = 3*y - d*y. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 20*b - 15*b)*(2*b - 8*b - b)*(5 - 4 + 3).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + q - 63, -13*m + 2*q + 82 = -18*m. Is m\/(-8) + -109*(-12 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjjqjqqujqqqqurr. What is prob of sequence ju?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20327543?\nAnswer: 883, 23021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 588\/66 - 4 - (-2)\/22. Solve 3*x + a = s, 0*x - x = 3*a - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 9*a**2 - 8*a + 5. Let n be r(-8). Let z = 1 + n. Suppose 2*i = 5*i - z. Solve 0 = -3*c + i*t - t + 19, 24 = 4*c - t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 3, k: 5}. Give prob of picking 1 k and 3 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 127*b. Let d(a) = 15748 + 35*a - 13*a - 15748. Give z(d(n)).\nAnswer: 2794*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:58 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -891*j**2 - 2*j**3 + 3*j**3 + 445*j**2 + 446*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 11*w**2 + 12*w + 10. What is the remainder when n(11) is divided by ((-72)\/64)\/(3\/(-104))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -14. Suppose -5*o + 30 = -3*o. Suppose 0 = -10*j + 55 - o. Solve 2*p + 2 = j*b, p + 2*b = b + c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7045 = 3*k - 8846. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 491 - 659. Let u = k - -175. Sort 5, 3, u in ascending order.\nAnswer: 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, f: 5}. What is prob of sequence fuu?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 25. Let s = 9 - 13. Let p = 3 + s. Sort p, z, -5 in decreasing order.\nAnswer: p, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -23. What are the prime factors of (-18)\/(-4)*(-40)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 101412, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218550 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 26*t**3 - t. Let g be c(1). Solve 4*n = -n - g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 90. Let c be ((-12)\/(-10))\/((-9)\/n). Let q = c - 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2\/2 + v + 3013. Let q(h) = -74*h + 111. Give q(t) - 111*w(t).\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9748 and 2572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + k + 28 + 7*k + k. Let d be t(-2). Let q = -88 - -262\/3. What is the nearest to q in 4, -2\/3, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 534955782 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835631751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5022 is divided by 60.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11305036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 23. Let h = -14 + 36. Let f = h - j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.0211, 0.6, -2, -1.15, -3.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-1 - ((-88)\/(-198))\/(6\/99))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/205)\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10101\/(-30))\/91)\/((-9)\/(-90)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -214\/3 + 4759\/66. What is the common denominator of f and 97\/92?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 19*s**7\/42 + 2*s**4\/3 - 4*s. Find the third derivative of v(t) wrt t.\nAnswer: 1140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 - r + 21. Suppose -2*b = v - 5, -b + 4*v - 25 = -v. What is the tens digit of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*f + 73*f = 20. Suppose 3*h - 573 = f*d - 2*d, -1 = -d. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.44 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16588.5 and 0.0465631472?\nAnswer: 16588.5465631472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90256055 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from qwwwqqqkqqqqwwqqkqw?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d + 1\/120*d**6 + 5\/96*d**4 + 0 - 1\/24*d**3 + 3*d**2 - 1\/30*d**5. Factor t(m).\nAnswer: (m - 1)*(2*m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109884, -219767, -329650, -439533?\nAnswer: -549416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**16*x**(-2\/11)*(x*x*x\/x**(3\/5))\/x assuming x is positive.\nAnswer: x**(507\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - p + 4 + 13*p**2 + p to the form f*p + n + h*p**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761920554 divided by -6.\nAnswer: -126986759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 0*h**3 + h**4 - 2 - h**3 - 540*h**2 + 539*h**2 as c*h**3 + v*h**2 + i*h**4 + z*h + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*90\/99*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - -410. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 78*j + 1718*j - 3 in the form a + x*j and give x.\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u**3)*(3*u + u**2 - 3*u + (-3*u + u + u)*(-4*u - 3 + 3)) + (-u + u + 2*u**4)*(0*u - 3*u + 6*u).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872) + -1*sqrt(1872) - sqrt(1872) - sqrt(1872))**2.\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 96 = 30. Let l = 847 + -233. Suppose 5*v + f - l = 3*f, -375 = -3*v - f. What is the remainder when v is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccs when three letters picked without replacement from bzzbsbzcbsbscgw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 21 (b) 5 (c) -168\/11 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 33*l - 19*l - 15*l = 1, -3*i + 14 = 4*l + 45 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-406)\/35*(-15)\/6. Let r = -59 + o. What is the remainder when 29 is divided by r\/(-4) + (-6)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjwmcmpjqcjwqmpqp. Give prob of sequence jjwq.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pezoezpsd. Give prob of picking 1 p, 1 o, and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 12*g**2 + 20*g - 3. Let d be o(-9). Calculate the common denominator of 17\/6 and (-4*2\/(-180))\/((-108)\/d).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*q + 36, 0 = -2*q + 4*a + 1018 - 1042 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 16 = 4*s, -r + 4*s + 35 - 44 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110 + 0)*9\/(-2). Let m(i) = -161*i - 295. Let f be m(-4). Let d = o - f. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = 3*h + 2, -3*n = -2*h - 16. List the prime factors of n\/12*(-1 + 1) - -30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7070 + 7073. Solve 5*w + n + 15 = 0, -8*n + 25 = -s*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 91*c - 5*c - 77*c to f*c + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, -y + 4 - 1 = 3*f. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2568 is divided by 492?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 1:36 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/9 (c) -0.201 (d) 126\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 5*j + 4. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133578038 - 14025894859\/105. Let g = -1913 - p. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 + h - 1. Let c = -135 - -138. Determine l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose l*w - 28 = 20. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1870046.\nAnswer: 7480184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1128290112 and 576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**6\/6 + 27*g**5\/2 - 1025*g**4\/3 + 1875*g**3 + 15625*g**2\/2 + 754*g. Solve v(o) = 0.\nAnswer: -1, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.07253317 rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8512856 days?\nAnswer: 73551075840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.87 - 0.13. Let h = -0.1 - 0.1. Which is the second biggest value? (a) h (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*-4*(-2)\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 5. Let v be 4\/(-14) + 117254\/161. Let l = v + -722. Determine f(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 9*j**2 + 22*j - 66. Let o be x(4). Solve 3*g = 4*t - 22, 2*t - 2*g + o*g = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3086, 3770, 4914, 6518, 8582?\n\"Answer: 230*p**2 - 6*p + 2862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61c75 (base 15) in base 11?\nAnswer: -1a194a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 48, 53, 78, 129, 212, 333?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Suppose 2*d + 2*d + 52 = y. Let t = d - -13. Solve t = 3*l - 4*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 3*p**7\/70 + 3*p**4\/8 - p**2. What is the second derivative of w(i) wrt i?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 4*q)*(2 - 2 + 2*q) - 4*q**2 + 5*q**2 + q**2 - 2*q**2 + 0 + 0 + (4 - 1 - 4)*(-181*q**2 - 6665*q + 6665*q).\nAnswer: 187*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 43. Let a(m) = 62*m**i + 97*m**2 - 46*m**2 + 35*m**2. Let p(h) = -h. What is p(a(g))?\nAnswer: -148*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 108?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*l**4 - 6*l + 278543*l**2 - 1 + l**4 - 278529*l**2 to b*l**2 + c*l + w*l**3 + t*l**4 + a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148339 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111001111?\nAnswer: -111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-908)\/(-60) + -3 - 12 - (-236)\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(4 + (sqrt(468) + (0 + sqrt(468))*4 + sqrt(468))**2).\nAnswer: -269632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45599 is divided by 84?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) + 1 - 1. Suppose 1 + 2 = -x*q. Let h(o) = -1. Let w(m) be the first derivative of m**4\/2 - 2*m + 3. Give q*w(n) + 4*h(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3369?\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 99 + 81. Suppose 0 = 5*i + 4*u - 143, u + o + 82 = 4*i. Suppose -i - 121 = -4*h. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 13*x + 14. Let y be m(17). Let b = y + 49. What is the common denominator of (2\/b)\/(2986\/505 - 6) and 69\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 plus -1252378.7?\nAnswer: -1251516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 9*u + 6, 28 = 26260*l - 26262*l - 2*u for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1888*z**2 + 163*z + 883. List the prime factors of y(-5).\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1890 and 18900.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p + 6*p - 176 = -14*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.108 - 61.108. Let n = -61.00524 - p. Round n to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336581.\nAnswer: 7, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 - 9. Let i(v) be the second derivative of v**4\/12 + v**2 - 12*v. Let d(y) = 2*c(y) + 9*i(y). Let z(s) = 11*s. Give d(z(b)).\nAnswer: 121*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, -1660, 0.4, 3, -22.3 in descending order.\nAnswer: 20, 3, 2, 0.4, -22.3, -1660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let t(u) = -u**2 + n*u**2 + 4 + 3 - 3*u - 4*u. What is the least common multiple of 3 and t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 - 377*y**2 + 377*y**2.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*b - 1063 = -211*b + 5326 + 8353 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 + v + 2. What are the prime factors of o(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 - t + 2. Let h = -6 + 6. Suppose 4*j - 3*z + 22 = h, 0 = 3*j + 2*j - 2*z + 24. Calculate y(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3736277482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42662 (base 7) to base 2.\nAnswer: 10100110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 575\/4 and 143 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 32*q = 75 + 55 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100 or 50888\/513?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 92*y + 986. Let v be q(-10). What is the highest common divisor of v and 748?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84.646 - -84. Round y to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -26. What is the smallest common multiple of (3 - 2 - -13)*1 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 + 172*d**2 - 121*d - 45. Determine q(-58).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:03 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111025.9*-0.07\nAnswer: -7771.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 + 14\/(-504).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -4\/6957?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2529000, 2528998, 2528996, 2528994, 2528992?\nAnswer: 2528990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 19*o + 82. Determine g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2723.5 + -2732.5. Let g = 107\/5 - 22. Is i less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1207 and 102?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:57 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:12 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4407 + 4414. Suppose -2*w + 4*j + 5 = 5*j, 0 = -4*j - 20. Calculate the lowest common multiple of w and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -58*r - 40. Let n be c(-4). Suppose -2*j = 5*o - 1655, -3*o + j - n + 1174 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-10)\/(-6)*4\/(-20). Let j(i) = 0*i - 2 + 4*i + 0 + z. Let x be j(1). Calculate the highest common factor of x and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-26)\/13*((-21)\/21)\/(73\/(-1))).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15325 (base 10) in base 15?\nAnswer: 481a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 4. Suppose 2939*r = 2943*r - 72. Calculate the remainder when (71 - 0) + (b - -1) is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cni when three letters picked without replacement from ndisinssscsn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -4082?\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/4683444 and 131\/509070?\nAnswer: 23417220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/10 - 5*m**4\/12 - 13*m**3\/6 + 7*m**2\/2 - 201*m. Let d(c) = c**3 + 3*c**2 + 7*c - 4. Calculate -4*a(i) - 7*d(i).\nAnswer: i**3 - i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -32*r - 28. Let p be (-8 - r)*1\/(-3). Solve -3*s - 2*i = 2*s - 23, 0 = -2*i - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.53005117 to 2 decimal places.\nAnswer: 105.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 + 580*z**2\/3 - 386*z + 1736\/9.\nAnswer: -2*(z - 868)*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 148603*q - 2674199. Give v(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 23\/6*x**3 - 1\/8*x**4 + 0*x + 24*x**2 + 0. Let u(k) = -k + 8. What is 6*a(i) - 17*u(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 7*w + 2. Let b be h(-7). Suppose -o = -b*o + 74. What are the prime factors of o\/(-7)*-4 + 52\/(-182)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 6*a - 24 = 30, -2*m + 45 = 5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 20 + 5. Let u = 39 - -68. Suppose -32 = h*z - u. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.1. Let l = p + 0.5. What is the closest to l in -0.3, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 2 - 5)*(-d**2 + d - d) - 5 + 9*d**2 + 5)*(1991 - 251*d - 1991).\nAnswer: -1757*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 0 + 0 + (78 + 85 - 46)*(a**2 - a**2 - 4*a**4).\nAnswer: -470*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109872, 221496, 333120, 444744?\nAnswer: 556368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11551021 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 31.6 and 1.\nAnswer: 32.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (406\/(-116))\/(42\/(-288))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*y**3 - 426*y**3 - 451*y**3 - 63*y**3.\nAnswer: -818*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(22)\/sqrt(2) + sqrt(11))*4)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -735864, -735821, -735794, -735789, -735812?\n\"Answer: -j**3 - 2*j**2 + 56*j - 735917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - 3*h)*(3 - 7 + 2) + 4*h + h - 4*h + 4*h - 2*h - 7*h - 6*h + h + 3*h + (-7 - 5 + 0)*(-3 + 3 - 2*h).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 12. Let m(w) = -20*w + 71. Let j(c) = 39*g(c) - 6*m(c). Let n be j(-13). Solve 0 + 3*x**n - 2*x**4 + 0*x**2 + 1\/3*x**5 + 0*x = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 4:04 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*c - 4, -5*z + 2*c + 10 = 3*c. Suppose 0 = -11*b + 8*b + 3*y - 12, -z*y = -4*b - 8. Solve b = 7*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let z = 1 - i. Let y be ((-35)\/63)\/((-10)\/12). Which is the closest to z? (a) 0.3 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1492 (base 11) to base 8\nAnswer: -3574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/24*9\/(-6). Is 12 a factor of (-3)\/(-2)*(-1)\/i*98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*o - 8*o = 37, 4*b - 4*o = 32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3\/5, 0.71, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 - a - 9. Let m(s) = 2*s**2 + s + 5. What is -3*h(o) - 5*m(o)?\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -70962699.32.\nAnswer: 70962699.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 11. Let d be p(-1). Let a be (-115)\/(-35) + d - (-24)\/14. Solve -3*t = a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383460 divided by -76692\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 4\/9 (c) 23 (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, -509, -1479, -2839, -4589, -6729, -9259?\n\"Answer: -195*z**2 + 5*z + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = -0*l. Let p = l + -3. Solve -10 = -5*u + n, -p*u = -n - 10 + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/((-8)\/(-20)*10 + -2). Suppose 5598 = w*t + t. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let c(p) = -2*p**2. Let k be 2\/(-8) - (-42)\/8. Let b(r) = -468*r**2 + 232*r**2 + 238*r**2. Let y(s) = k*c(s) + 4*b(s). Calculate y(f(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 11.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - d58c3b0?\nAnswer: -d58c3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(-6))**45)**(-2\/5) assuming a is positive.\nAnswer: a**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 + -0.21. Let g = -0.72 - i. Let s = g - -0.10000054. What is s rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 0.9?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 24354758*h\/13 - 97419064\/13.\nAnswer: 2*(h - 12177383)*(h + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20248?\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Suppose 0 = -u + 3 - a. Let s(p) = 6*p - u*p - 2*p - p. Let b(m) = -6*m**2. What is b(s(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7926*d + 1 + 11*d**2 - 1 + 56*d**2 - 8098*d + 16024*d.\nAnswer: 67*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)*o**18*(o\/(o**(-3)*o))\/(o\/o**(-3\/14)) assuming o is positive.\nAnswer: o**(281\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*n = 42, 2*v = 6*n - 3*n - 31. Let c be -2 - 4\/6*573. Is -2 + 11\/(v\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1811 bigger than 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + 6 + 172224\/207. Let o = -802 + g. What is the greatest common factor of 1548 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15520912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -24*m + 8. Let z be a(-3). Let i = z - 64. Solve -i = -2*l - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8224434 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 294618+4\nAnswer: 294622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cww when three letters picked without replacement from {t: 3, p: 1, k: 3, w: 3, c: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298 = -163*m + 928 + 567 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 46955 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-90))\/((-8)\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 7. Let c be x\/(-15)*6\/(-4). Find the first derivative of 10*g**4 - 55*g**2 + 2*g**4 + 55*g**c + 9 wrt g.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7f243 (base 16) to base 8.\nAnswer: 1771103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 64*i + 775 = 0. Suppose -43*m = -i*m - 12. Let g(o) = 20*o + 25. Let z(d) = -d - 1. Suppose 0 = 3*b - 2*b - 25. Calculate b*z(p) + m*g(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 30158*p\/5 + 227376241\/5.\nAnswer: (p - 15079)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:22 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.3 (c) 0.02 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 15 = -16*f. Calculate the remainder when 9 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-3)\/sqrt(6))\/(sqrt(128)*-1).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196126 is divided by 169.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-468)\/63*18\/36.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 694?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.061 (c) -36.8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/((-1*sqrt(44))\/sqrt(11)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + sqrt(126) + sqrt(126)*3*6 + sqrt(126))\/sqrt(6))\/((sqrt(3) - (sqrt(75)*-4 + sqrt(3)))*5) + 3.\nAnswer: 21*sqrt(7)\/100 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w - 3. Let b(m) = -5*m - 3. Let x be 4 - (-7 - -22)\/(-5). What is x*b(p) - 6*l(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 595 - 591. What is the closest to 0 in 0.5, o, -162, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, 2, 20\/11, 3\/4 in descending order.\nAnswer: 2.9, 2, 20\/11, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51860 + 51934 + 3 + -2 + 1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -61, -55, -23, 35?\n\"Answer: 13*h**2 - 59*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 - n - 1. Let a(h) = 4*h**3 + 11*h**2 + 9*h + 1. Let f(w) = -a(w) + 5*m(w). What are the prime factors of f(17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1012276 - 4312*x**2 - 1012276)*(-4*x**3 - x**3 + 3*x**3).\nAnswer: 8624*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.466307 take away -628.5?\nAnswer: 403.033693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/120 - 3*l**5\/20 + 5*l**4\/6 + 13*l**3\/3 - 19*l**2. Let k be z(-11). What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 4 = -36. Sort d, -6, 1, -1.\nAnswer: -6, d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58\/190 + (192\/256 - (-65)\/(-76)). Let u = -0.08 + -4.72. Let v = -0.2 + u. Which is the third smallest value? (a) y (b) v (c) -1\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4977 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0209 - 0.3209. Sort 1, 10, s, 4.\nAnswer: s, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3079932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -17. Let u be (18\/(-8))\/(9\/(-24)). Let g = u - 4. What is the least common multiple of g and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:27 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6933 - -6929. Let h = 0.1 - 0.1. What is the nearest to 1 in h, -3, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n)**(-14\/9))**(-2\/5)\/((n**(3\/5)*n)\/n**(3\/2)*(n**(-1\/2))**(-4\/3)) assuming n is positive.\nAnswer: n**(43\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 71720?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1827, -1825, -1823?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724075*f - 724086*f + 1448160*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = 5*u, -2*q - 5*u = -5*q - 1. Suppose 55 = q*c - 11. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -81216229?\nAnswer: -5\/81216229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 186038*i - 186036*i + 10 = 0, 4*s + 8 = -3*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 2*m + 9. Let j(g) = -g**3 - 2*g**2 + 2*g - 1. Let k be j(-2). Let o(i) = -2*i**2 + i - 5. Give k*o(y) - 3*n(y).\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 8840369.\nAnswer: -8840368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1806251 is divided by 1806242.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*l - 62, 10 + 22 = 2*p - l. Calculate the lowest common multiple of 21 and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -10035?\nAnswer: -10034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(22)\/(sqrt(10)\/sqrt(5)*2) + (sqrt(11) + ((sqrt(11) + 1)*-5)**2 - sqrt(11)) + 2).\nAnswer: 505*sqrt(11)\/2 + 1510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(13) + -3)*4 - (-6*(6*(sqrt(104) + (sqrt(104) - -2*sqrt(104))))\/sqrt(8))**2.\nAnswer: -269560 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*d - 4, 5*p + 4*d - 6 = 12. Suppose 0 = -t - 0*t + 3. What is the units digit of 196\/p - (t + -2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29380 is divided by 226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 + 30900*w**2 + 185555*w + 154650 = 0.\nAnswer: -5, -1, 6186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 925345437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 14 = -2*k. Let d be 12 + 14\/4 + k\/(-4). Solve 6*q = 3*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2914\/711 + -1\/79. Find the common denominator of 1\/5 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 15}. What is prob of sequence ppp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 175\/1995*522\/145. Determine t so that -2\/19*t**4 + 8\/19*t**2 + 0 - k*t**3 + 24\/19*t = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*o - 980, 10 = 3*g - 8*g. Let i = -323 + o. Solve -3*u - i = 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 + (-2664)\/(-45))\/((-2)\/(-60)) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, -8, 0.16?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let t(h) = -h**2 + 7*h - 9. Let q be t(8). Let g = q - -21. Suppose 3*f + g = f. Let p(r) = -2*r**3 - 2*r - 2. What is f*y(u) - p(u)?\nAnswer: 2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + 4*x + 81, 3*t + 4*x - 23 = 0. Let r = 55 + -26. Let h = r - 16. Calculate the greatest common divisor of h and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 86. Let j be s(16). Let q(l) = l + 1. Let y(o) = o + 2. What is j*q(t) - 4*y(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 15, 97, -2, 7.\nAnswer: -5, -2, 5, 7, 15, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y. Suppose y*v - 4*v = 0. Solve 5 = -v*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 - 36*z**2 + 4900*z - 14268 = 0 for z.\nAnswer: -41, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.24 - -1.8. Let y = -0.04 - z. Let v = 0.6 + y. What is the nearest to v in 1, -0.5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*u - 46707 + 12475. List the prime factors of u.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 38*p + 211. Let a(l) = 8*l**2 - 68*l - 423. Let u(o) = -4*a(o) - 9*f(o). What is the derivative of u(m) wrt m?\nAnswer: 8*m - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/16 + (-6)\/(-4). Let n = -2 - y. Suppose -46 = -8*w + 6*w + h, 3*w - 4*h - 64 = 0. Calculate the smallest common multiple of w and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trttrrktt. Give prob of sequence krrr.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-456)*-30*1\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l + 2*l. Suppose 37 = 2*h - m, -h + l*m = h - 57. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h, 7*h - 100 = 4*t + 2*h. Let y = t + 169. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 32 + 252 = 0. Let m(u) = 5*u + 6. What is m(t)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 1 s when three letters picked without replacement from iiggslliglgigp.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.84 and -70548488.\nAnswer: -70548489.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 30, 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 202, 560, 1194, 2182, 3602?\nAnswer: 5532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 1, v: 4, d: 2, q: 3, j: 2}. What is prob of picking 1 j and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 15*z - 16. What is the tens digit of h(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypf when three letters picked without replacement from {k: 2, f: 1, r: 1, y: 8, g: 1, p: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82033 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3482\/2607 - -72\/79. What is the common denominator of t and -73\/363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 + a**4\/3 + 7*a**3\/6 - 3*a**2. Let d be b(-7). Let l be (-20)\/15 - (0 + d). Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4)\/(8\/6). Let o = -111 - -106. Let n be 12*3 - 0*o\/(-30). What is the highest common divisor of n and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 550 - 4121?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 2737)*(1 + 0). Suppose -354996 = -5*b + 4*r, q - 286738 = -4*b + r. What is b rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -553*f**5\/60 + 475*f**3\/6 - 104*f**2. What is the derivative of p(n) wrt n?\nAnswer: -1106*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -297970.832 and -0.2.\nAnswer: 59594.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102022 + 2?\nAnswer: 21102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 664*t - 1 - 1224*t**3 - 463*t - 461*t + 1588*t.\nAnswer: -1224*t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -30*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -q + 3*q - 130, -2*v = -q + 75. Suppose -173 = -3*z + q. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -327162 and -1759.\nAnswer: -328921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2. Let m be k(1). Let a = m - 13. Let s = a + 8. Calculate the remainder when 4 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -96. Let m = 0.8 + -0.5. What is the third smallest value in t, m, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20902 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35034859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**2 + 9*c + 2*c**3 - c**3 + 0 + 3 - 1. Determine g(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -3, 15, 51, 111, 201, 327, 495?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 6 = 9*d. What is the derivative of 2*o**d - 2 - 2 - 3 - 16*o**3 wrt o?\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 4}. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1662 and 119\/48.\nAnswer: 13296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 + (4 - 1 - 2)*(3 - 5 - 23))*(-3 + 3 + 3*d).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*t**2 + 119*t**3 - 177*t**2 + 96*t**2.\nAnswer: 119*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 5*z = -80, -r = 2*z + 13. What is the tens digit of -34*(2 + r\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310761 and 946?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 236\/189 + (-3 - 7\/(-3)). Let g = r - 8\/27. What is the nearest to -0.1 in -0.03, 0.1, g?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*r - 15582 - 4157, s - 26315 = -4*r. What are the prime factors of r?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 957*h**2. Let t(n) = -14*n**2. Determine o(t(v)).\nAnswer: 187572*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5412 and 1716.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32130020 (base 4) to base 9\nAnswer: -100115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 72\/13 (b) 1\/50 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Suppose -q = -a + 2, -2*a + 4*q = -3*a + 7. Suppose -2*m + 24 = -5*d, -3*m + a = d + 1. Let v(h) = -h + m*h + 5*h - 3*h. Calculate v(y(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppgppppgpgg. What is prob of sequence pp?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -9\/46 = 1\/1030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-344)\/20 - 2\/(-10))\/(-1). Suppose -2*i + 25 = -p. Calculate the remainder when 166 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Suppose -q = -i + 2*i. Let m = -0.5193 + 3.5193. What is the nearest to 3 in 1\/2, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z + 1952. Let i(u) = 18*u - 1295. Calculate 7*i(m) + 5*o(m).\nAnswer: -4*m + 695","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 30105?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(10890\/60))\/((-1)\/12)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1767 = 5*o - 2*t - 1815, 0 = -4*o + 2*t + 40 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10205253 + -12?\nAnswer: -10205305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 26\/9*a - 16\/3*a**2 - 4\/9.\nAnswer: -2*(a + 2)*(3*a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1188 = -0*g. Let h = 901 + g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126492 + -7?\nAnswer: -126499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (5 - 10) + 5280?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3)*-1)\/(70\/(-30)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 895*h + 10786. Determine b(-12).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -20332414.\nAnswer: -10166207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 5. Suppose 0 = 4*s + 12 + 12. Let t(l) = 2*l + 4. Let j = 32 + -37. Let m(p) = j*o(p) + s*t(p). Give m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61241167 divided by 41\nAnswer: -1493687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*v + 51*v = 12. Let i = -20 - v. Let h be (-4)\/(i\/44) + -3. Let c(n) = n**3 - 7*n**2 - 8*n + 1. Determine c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -1 + 0*k**2 + 2\/3*k**3 + 4*k. What is the first derivative of n(h) wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i**2 - i**2)*((1 - 1 - 2*i)*(2 - 2 + 2) + 0*i - i + 2*i + 0*i + 0*i - i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 904 and 209672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a + 12. Suppose 0 = -j - 3*j + 24. Suppose -j = a*y - 2. What is the smallest value in 2\/11, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93422\/3 - 31140. Let j = -1.8 + 2. Let i be 10\/(-9) - 1*-1. Which is the nearest to l? (a) i (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 2*v - 39. Suppose 2*l + 12 = -2*l, -5*l + 375 = v*w. Calculate the highest common divisor of 26 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 14*u + 8. What is p(8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 10, 0 = 3*r - 3*a + 3. Suppose -d = -r*d. Let b be 68\/340 + (-6)\/26. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11956 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 + 1795*d + 6023. Calculate w(-253).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n - 7 - 5. Let r be n*(-2 + -2) + 10. Suppose 2*a = 2*k + 10, k + 9 = 5*a - 0*k. Put r, a, -1 in decreasing order.\nAnswer: r, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*c + 1062 = 179*c - 293 + 176 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by ((-10)\/(-135)*-6)\/((-2)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 + 4*t**2 + 0*t**2 + 9*t**2 - 6*t**3 + 9*t**2.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19170041179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -96 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -30*p + 8. Suppose -62*o + 63*o - 41 = 0. Let c = o + -44. List the prime factors of i(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 10*z**2 + 12*z - 12. Let x be b(9). Let o = x - -6. What is the remainder when 71 is divided by 5\/(15\/9) + o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6)**30 assuming j is positive.\nAnswer: j**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-585)\/26)\/((-1)\/(-10)). Let i = -225 - k. Suppose -1\/4*g**3 + 1 - 3\/4*g**2 + i*g = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 64 = g, 5*g + 6*s - 320 = 2*s. Let u = 156 - g. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -6*a + 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1449 to one decimal place.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(3 - (3 + 6\/9)). Solve 2*d - 5 = b*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*m)*(-13*m**4 + 16*m**4 + 48*m**4 + (3 - 2*m**2 - 3)*(-m**2 + 2*m**2 + 0*m**2) + m**4 - m**2 + m**2 - 3*m**4 - 3*m**4 + 4*m**4).\nAnswer: -96*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 8:29 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:03 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d - 42*d = 272 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30684, 30684, 30682, 30678?\nAnswer: 30672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-2 + -1 + 1). Let c = z + -1. Suppose u = -2*a + 8, u + 4*a = 3*u. Solve 0 = 4*j + 2*k - 20, -2*k - 14 = -c*j - u*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 3*f + f + (-17 - 9 - 3)*(0*f + 2*f - f) - 60*f - 20*f + 2*f - 4*f + 5*f - 4*f.\nAnswer: -112*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 3)*(-2*l**3 - 2*l**3 + l**3) + 657*l - 657*l - 35*l**3 as y*l**3 + n*l**2 + h*l + u and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:55 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 100, 13.8, -8\/11.\nAnswer: -8\/11, 2, 13.8, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 53636 - 53560 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130653\/5 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1939, -3819, -5699?\nAnswer: -7579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - i**2 - 3 + (7*i - i - 2*i)*(i - 5*i + 3*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 34959694347034.\nAnswer: -34959694347030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(0 + -2 + 4). Suppose -5*m + 59 = -5*s + 9, -2*s + 6 = y. Suppose 0 = -3*o + m + 44. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or -60827\/409?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 25*n**2 - n + 3. Let q(j) = -j**3 - 14*j**2 + 71*j - 43. Let i be q(-18). Determine y(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2374751, -4749499, -7124247, -9498995, -11873743?\nAnswer: -14248491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**5\/60 + 5*w**3\/3 - 7*w**2\/2 + 106*w. Let q(t) be the second derivative of o(t). Let v(m) = -83*m**2. Give v(q(u)).\nAnswer: -332*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -718 and -0.3?\nAnswer: 215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2482443*t**4 + 1843759*t?\nAnswer: -29789316*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -42, -72, -102, -132, -162?\n\"Answer: -30*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1526\/436)\/((-315)\/(-6)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*y = 3, 4*v - 4*y = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1254?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4084 and 1492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22295 + 9685. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 12690, 2 in decreasing order.\nAnswer: 12690, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2077141 (base 8) to base 9\nAnswer: -1037510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 * -0.6\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -124503690 to the nearest one hundred thousand.\nAnswer: -124500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*g + 334, y + 190 = 3*g + 3*y. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 62 in descending order.\nAnswer: 62, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/18)\/(288\/384))\/(11\/88)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17754209569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4 - -2. Let j = p - 2.6. Let l = -493\/2615 + -6\/523. What is the nearest to 1 in l, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 28*o - 12. Determine f(23).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1624283833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -416860, -832493, -1248126, -1663759, -2079392?\n\"Answer: -415633*w - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q**2 + 78*q**2 + 73*q**2 - 218*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3169592388?\nAnswer: 2, 3, 19, 1153, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 4*b - 24, -3*b = -5*r - 6. Suppose 0 = -2*t - 3*t. Sort r, 5, t in descending order.\nAnswer: 5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 12) to base 9.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17231 + 4416*r + 7648*r + 17231 in the form s + k*r and give k.\nAnswer: 12064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.22 (b) -1686 (c) -37 (d) -0.2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35428809 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.0302 - -1132?\nAnswer: 1139.0302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10081 from 9.4569289.\nAnswer: -10071.5430711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 plus -389086?\nAnswer: -389086.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**8)\/r)\/r**5*(r\/(r**(-30\/13)*r))\/r**(7\/8) assuming r is positive.\nAnswer: r**(461\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -302*w + 30526. Calculate a(101).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152024 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 404 + -68. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 + 1.33. Let j = -90158 - -90157.95. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5 + (3 - 2 + 0)*(-4 - 3 + 6) + 1 + 0 + 1 - 3 + 2 + 3 - 3 - 6 - 2 + (3 - 3 - 2)*(0 + 2 - 4))*(-2*g**2 - 4*g**2 + 2*g**2).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106837?\nAnswer: 19, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(-4)\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 105*-0.8\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-7))\/(8\/(-7672)). Let o = 276 - f. Solve -o*c - c = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-8 + 56 + 24)*(3 + 2 - 3)*(-4*m**2 + 26*m**2 - 25 - 21*m**2 - m).\nAnswer: -288*m**2 + 288*m + 7200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -31, -47, -63, -79?\n\"Answer: -16*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26286104, 52572206, 78858308, 105144410, 131430512, 157716614?\n\"Answer: 26286102*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90978 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 - -1423?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(55)\/sqrt(5) + 3 + sqrt(11) + sqrt(275)*6)**2 + 0 + -1*sqrt(11)*2*-4*6.\nAnswer: 1200*sqrt(11) + 67638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -12*m + 17*m + 5*n, 5*n = m + 6. Let x = 10 - 9.6. Which is the nearest to 15? (a) x (b) 3 (c) 1\/4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 647 = 2*u, -2*l + 968 = 3*u + 2*l. Suppose -m - 5*d + u = 0, 918 = 3*m + 7*d - 2*d. Let y = m - 173. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-6))\/((-1)\/3). Let i(a) = 15*a - 2*a**2 - 1 + 3*a**2 + 3. Let z be i(-15). Solve 3*w = -z*w + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 789, 1278, 2409, 4440, 7629?\n\"Answer: 43*p**3 + 63*p**2 - p + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/24 - u**2. Let i(r) = -9*r. Let g(z) = -z. Let l(p) = -21*g(p) + 2*i(p). Determine l(q(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 2, k: 5, v: 8, b: 2}. What is prob of picking 1 z and 1 k?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from mrrmmvvr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:12 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(5 - 2). What is the units digit of 5*((-19)\/(-5) - l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 14, 33, 60, 95?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 61*m**2. Let j(w) be the first derivative of -2*w**3\/3 - 50. Determine u(j(t)).\nAnswer: 244*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 - v**4\/24 + 7*v**3\/6 + 345*v**2. What is x(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 6*h**4 + 2*h**4)*(-58*h + 104*h - 2 - 60*h).\nAnswer: 28*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*w**3*y + 1470*w**3 - 23*w**2 - 3*w + 64069*y**2 - 1 wrt y.\nAnswer: -16*w**3 + 128138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**(6\/37)\/(m**(-4\/3)\/(m**(-4)\/m*m)) assuming m is positive.\nAnswer: m**(-287\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 34 - 46 = 0. Calculate the common denominator of 7\/282 and ((-104)\/w)\/((-24)\/10).\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 3. Let g(n) = -5*n + 4. What is 5*g(y) + 4*q(y)?\nAnswer: -y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 57 = 2*j, -4*s + 7*j = 4*j - 93. Let x = s - -48. Suppose -x = 4*b - 281. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*d - 620 - 832 = 348 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 245*r**2\/2 + 5269*r\/4.\nAnswer: r*(r + 11)*(r + 479)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, y: 2, j: 2, w: 1, i: 1}. Give prob of sequence iwj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z - 2. Let q be 1 + 2*(z + 2). Suppose -f - q*f = 0. Solve 4*b + f*b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 - 33830*s + 286117225 = 0.\nAnswer: 16915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/4 - f**2. Let h(o) = 108*o + 104*o - 213*o. What is h(m(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2 + 4770*h + 1896075 = 0.\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/11 (b) -2\/13 (c) -5\/2 (d) -2\/5 (e) 6.2 (f) -0.03 (g) 0.018\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 0*n**2 - 3*n**2 + 0*n**2 - 3*n**3 - 2*n + 2 - n**2. Let q(m) = 3*m**3 + 5*m**2 + 3*m - 3. What is 2*q(p) + 3*t(p)?\nAnswer: -3*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12023223 (base 4) to base 10.\nAnswer: -25323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 102. Let z be (-1372)\/(-12) - x\/18. What is the highest common factor of z and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81881 and 666?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -8*j**3\/3 + 11*j - 18. Differentiate m(x) wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*u, -k - 2 = -2*u + 10. Suppose -12 = -u*c - 28. Let d = -174\/77 - -28\/11. What is the biggest value in 0.5, c, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 139*o + 143*o + 14, -2 = o for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.07 (b) 5.2 (c) -0.3 (d) -34 (e) 2 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 30*v**2 - 8*v - 599. Let c be j(29). Solve -4 = -3*a + y - c, 2*y = -2*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((128\/15)\/8)\/((-462)\/(-770))\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 354 = -4*b, -3*h + 2*b - 92 + 300 = 0. Factor -1136*i + 46*i - 766 + 119*i**2 + h*i + 10*i**4 + 46 - 155*i**3 + 641*i**2.\nAnswer: 5*(i - 6)**2*(i - 4)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 - -121. What is the greatest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -272701 + 272695. Let g(w) = 2*w**2 - 14 + 2*w - w**2 + w. Calculate g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 53*m + 28. Let a be z(26). Solve 5*p - a*p + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654103 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 22*z - 23. Calculate l(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39879, 39893, 39931, 40005, 40127, 40309, 40563, 40901?\nAnswer: 41335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 118. What is the remainder when 59 is divided by (-2 - -5)*y\/((-60)\/(-115))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from {u: 3, h: 2, l: 5, k: 10}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Suppose -j*b + 3*v = 0, b - 6 = -2*v + v. Find the third derivative of 2*t**2 + 2*t**2 + 3*t**2 - 8*t**3 - t**b wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54330075, 108660150, 162990227, 217320306, 271650387?\nAnswer: 325980470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 858 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1.33499\nAnswer: -0.266998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11174 + -6404. List the prime factors of m.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g)**(7\/2)*(g*g\/(g**0*g))**12 assuming g is positive.\nAnswer: g**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (602\/(-10234))\/((-2)\/6)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -49. Let f be -3 + (-141)\/x + 8\/12. Let i be ((-2)\/6)\/(2\/(-6)). Which is the closest to 2? (a) f (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from xcxccxexiie.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 1. Let x(c) = 5*c**3 + 2*c**2 - 6. Determine 6*j(y) - x(y).\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from ijjjjjiwjjwi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.145 - -135321062\nAnswer: 135321061.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4 = 16. Let g be (-4 - a\/2) + 30. Solve -4*x + 9 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wouw when four letters picked without replacement from wewyrewwueeo.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 857375.6 or 1\/9?\nAnswer: 857375.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 4*z + 7. Let l be b(6). What is the common denominator of -9\/7 and (1 - l)*8\/64?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28445123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 146*m**3 + 8*m + 144*m**3 + 0 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 164\/(-8)*-2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*q, 2*t + 32 = -3*t + 818*q - 821*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*(-2 + (-65)\/(-35)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412524 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z = 56913 + 234202. What are the prime factors of z?\nAnswer: 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -324 (b) -5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 9*r**2 - 10*r + 6. Calculate k(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 8683 and 8511 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvvnvallv. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 3*m**2 - 4*m + 5. Let h be -5 + 25\/(8 - 3). Let b be w(h). Let k(i) = -4*i - 8. Let v(g) = g + 1. What is b*v(o) + k(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (9 - -10)) + 14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9530 is divided by 2590.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -208, -533, -1398, -3073, -5828, -9933?\n\"Answer: -45*u**3 - 10*u - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13909 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 7*h - 5*h, 0 = 5*y - 5*h - 25. Let w(x) be the second derivative of 1\/6*x**3 + 5 - 1\/3*x**4 + 1\/2*x**2 + 7*x. Calculate w(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b - 10 = 249 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*(-25 - 12708\/(-504))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*j + 442, 141*j + 94 = 142*j + t. Calculate the remainder when j is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -17*d**3 + 17*d**2 + 3. Let g(j) = 18*j**3 - 18*j**2 - 4. Let z(m) = 4*f(m) + 3*g(m). Find the third derivative of z(o) wrt o.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2534 divide 470239448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 11. Calculate the remainder when 75 is divided by i(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15*t - 12*t - 129, 4*t - 4*h - 156 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 703130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*g - 12, -96*y = -97*y - 4*g + 20. Let j(l) be the second derivative of 0*l**3 + 0 - 13*l - 1\/12*l**y + 0*l**2. Let a(w) = 5*w. Give j(a(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**3 + 843*n**2 - 1137*n + 285.\nAnswer: 3*(n - 1)*(n + 95)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v - 10. Is q(2) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 20. Suppose -4*f**3 + 1 - 4 + 2 + p*f + 0*f = 0. What is f?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885440, 885439, 885426, 885395, 885340, 885255, 885134, 884971?\nAnswer: 884760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1044 + -16655?\nAnswer: -15611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-20) - (-2)\/4. Let l = t + -3. Is 2\/3 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1391 - 2039. Is 7 + -2 + (1 - p\/2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 8429 + 23176. Let t = 2397\/2606 - -131684155\/20848. Let z = t + d. Calculate the common denominator of z and 73\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 (base 13) in base 6?\nAnswer: 34231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18513 is divided by 662?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t**3 + 3*t**2 + 3*t. Determine o(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156 - -2923. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -539574, -539577, -539580, -539583, -539586?\n\"Answer: -3*m - 539571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/119566335 and -61\/7665.\nAnswer: 119566335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 2*x. Let l(d) be the first derivative of d**2\/2 - 825. Calculate -l(k) + y(k).\nAnswer: 5*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139\/535 + -15\/107. Suppose -3*g = -g - 44. Let z be 2 - 2\/(16\/g). What is the closest to 1\/3 in l, z, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03069901423 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/60 - j**5\/12 - 5*j**4\/24 + j**3\/2 - 6*j**2. Let v(o) = -o**2 - o + 1. Calculate -r(i) + 5*v(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.3 - 15. Let c = j + -97.3. Which is greater: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -330, -309, -270, -207, -114, 15, 186?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 2285419*g**2 + 6*g + 2285418*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 141.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.093897 * 0.1.\nAnswer: 0.0093897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212906*i - 425798*i + 212889*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1997 + -1119. Suppose 4*y = 642 + q. List the prime factors of y.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -702174000 to the nearest one million.\nAnswer: -702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, b: 5, r: 1, e: 5, p: 3}. What is prob of picking 1 p, 1 r, 1 b, and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/4023945 and 71\/1060.\nAnswer: 853076340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1264 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110382 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159466.\nAnswer: 2, 71, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010289977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + r)*(-r + 5*r - 2*r) - 365*r**2 + 86146*r - 86146*r in the form a + q*r**2 + u*r and give q.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 138\/5. What is the smallest value in 0, 1\/2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 9346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 133, 3.\nAnswer: 0, 3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1468*i + 1597 = 168*i + 6184 + 3213 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*f + 5 = -s, -2*s + 17 = 3*f. Let n = 27 - 22. Solve -s*k + b - n = 0, -2*b - 16 = 6*k - k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + f = 10, -4*a - 2*f + 8 = -6*f. Suppose 3*d - a = 12. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 - 12*j + 13. Let t(f) = -7*f**2 + 13*f - 10. Let a(b) = -4*d(b) - 5*t(b). Determine a(-11).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.8.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 + 3 = 0. Let v be 7 + -2 + -1 - k. Solve -2*x - w = -6, -2*w - 7 = -v*x - 3*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {w: 4, o: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -21 + 18 - (43 - 32).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*h - 103*h - 16 = -2*j, -5*h - 22 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/4 + 5*g**3 - 19*g**2 + 22*g + 171. Let w be s(-17). What is the highest common factor of w and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a**5 + 0*a + 0*a**3 + 0*a**4 - 2\/945*a**7 + 1\/540*a**6 + 1\/1512*a**8 + 0 - 2*a**2. Factor s(u).\nAnswer: 2*u**3*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 14064\/1160 - (-21)\/(-15)?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3388 - -140.6612. Which is the closest to 1? (a) 1\/5 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 4:04 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j + 1495 - 1215 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c. Suppose -2*s + 2*x + 54 = c, s - 15 = -2*x + 3. Let h = s - -20. Calculate the least common multiple of h and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let j(i) be the first derivative of 0*i**2 + 2*i - 1\/2*i**3 - 2. Let f(z) be the first derivative of j(z). Determine a(f(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9039 (base 10) to base 8.\nAnswer: -21517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/20 or -2?\nAnswer: -13\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2427548 + 2426684 = 32*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + (32 + -75 - -37 - -11)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 5*n + 2*n)*((4*n - 3*n + n)*(-n + 0 + 0) + (-2*n + 2*n - 3*n)*(-n - 2 + 2)).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {a: 3, x: 1, m: 4, g: 1, h: 5, t: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 132126426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let n(v) = 6*v**2 + 2952. What is y(n(o))?\nAnswer: -12*o**2 - 5904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, -5, -537, 130 in decreasing order.\nAnswer: 130, 3, 0, -2, -5, -537","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -10331333 (base 4) in base 3?\nAnswer: -1000220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -797\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -19. Suppose -3*h + 9 = -0*h. What are the prime factors of h\/(8\/(-11) + w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p**5 - 116*p**4 + 24*p**3 = 0. Calculate p.\nAnswer: 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 12. Let g be 8\/(-1)*(-9)\/9. Let z be l(g). Let p(c) = -c**2 - 5*c - 1. What is the units digit of p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.3. Let u = -176.4 + 192. Let h = 15.4 - u. Which is the nearest to -0.2? (a) h (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.334629 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(8\/2))\/((-20)\/(-6160)). Suppose 32*v + p = 43*v. Calculate the lowest common multiple of v and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u - 42. Let i = 30 + u. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 38 = -16*o. Suppose -10*u + 5*u + 99 = -k, 0 = -5*u - k + 91. What is the greatest common factor of o and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55aa7a (base 11) to base 4\nAnswer: -3122002023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 40 = -6*k. Let c = 65 - k. Let y = -40 + c. Solve 0*l + s = -l + 7, -s = -y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/4599 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13366*i**2. Let z(n) = -373*n + 96*n + 97*n + 88*n + 94*n. Determine z(o(g)).\nAnswer: -26732*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392 - 321. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2553 - 1291. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488604 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 36 = -4*c, -6*c + g + 45 = -c. Let i(m) = 36*m - 12*m - 3*m - 11*m + 1 - c*m. Let j(y) = -2*y - 8. What is 4*i(h) + j(h)?\nAnswer: 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 4. Let y(i) = i**2 + 6*i + 6. Let w be y(-6). Let u(s) = -5*s - 2. Let o = -400 + 411. Give o*u(b) + w*z(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 138058 = 197728. Suppose 4907 = -2*l - 5*k + z, 0 = -4*l + 3*k + 51173. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 6*y + 0*y - 2)*(-6 + 6 - y**3 - 2*y) in the form d*y**4 + b*y + c*y**2 + h*y**3 + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 1097*s**4\/12 + 441*s**3 + 1245*s. Find the second derivative of m(q) wrt q.\nAnswer: 2194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1011, 2022, 3035, 4050?\nAnswer: 5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*i - 31 = 2*i, 0 = 4*l - 5*i - 46. Suppose z = -l*z + 580. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116364 is divided by 1956.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1. Let m = 87 + -57. Let a = 31 - m. Sort -1\/5, p, a in increasing order.\nAnswer: -1\/5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 r when four letters picked without replacement from trtrt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 425101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 10, 6*f - 10*f + 5*g = -33. Solve 4*h + 5*d - 8 = f*h, -3*h = -2*d + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 147? (a) 12 (b) -27 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/15 - 708*p**4\/5 + 22976*p**3\/15 + 51076*p**2\/5 + 229022*p\/15 + 33632\/5 = 0?\nAnswer: -3, -1, 16, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -14*p**5\/65 + 3*p**4\/26 + 56*p**3\/13 + 76*p**2\/13 - 96*p\/13 + 452. Suppose f(h) = 0. What is h?\nAnswer: -2, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 614254282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4\/8 - -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 3. Let b be h(4). Let u(x) = 4 - 4 + x + b. Let s(g) = -19*g - 23. Let a(o) = 9*o + 11. Let z(w) = 13*a(w) + 6*s(w). Give 4*u(v) - z(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46367 and 4427?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99542, 397989, 895400, 1591775?\n\"Answer: 99482*f**2 + f + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 69 = -89 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (559\/(-172)*(-40)\/455)\/(1\/(182\/8))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6419600 to the nearest one hundred thousand.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046912006 rounded to six decimal places?\nAnswer: 0.000469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 46, 41, 8, -59, -166?\n\"Answer: -x**3 - 5*x**2 + 39*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 38 - 10. Let c(y) = -9*y + 1. Suppose 18*a + 5 = 17*a. Let b(n) = 4*n - 1. Give a*b(o) + s*c(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - 0) + 23 - 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-24 + 23 + 2 - (-5 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620310 is divided by 21302?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/270 - z**4\/27 + 4*z**3\/27 + 7*z**2. Find o such that g(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 43 = -35. Let d = -29 - s. Let n(w) = -w**3 + 10*w**2 - 2*w + 10. Give n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + 87. Let n = m - 139.99. Let s = 1.2 + -3.2. Which is the third smallest value? (a) n (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 621*k**5 + 49212*k**4 + 106116*k**3 - 99714*k**2 + 23775*k - 1386 = 0.\nAnswer: -77, -3, 2\/23, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*-1*-5 - sqrt(891) - ((sqrt(88) - sqrt(88)*-1)\/sqrt(2) - sqrt(44))\/sqrt(4)) + -3)**2 + -4.\nAnswer: -210*sqrt(11) + 13480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -1 - (-1 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46910 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1624\/5 + -324. Determine h, given that 2\/5*h**2 + 6\/5*h + g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((55\/6)\/5)\/((-176)\/(-2112))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/13244*19239 - ((-27)\/14 + 2)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v + 22*v + 5*v in the form i + b*v and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.17, -2\/29, -1\/13 in descending order.\nAnswer: 4, -2\/29, -1\/13, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 73 = -d, 2*d = 6*d + i - 250. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41978446, 41978455, 41978462, 41978467, 41978470?\nAnswer: 41978471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5651, -5617, -5533, -5381, -5143?\nAnswer: -4801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 14. Calculate v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -331?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 19*p**2 - 2. Calculate the remainder when t(-9) is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**5\/15 + r**3\/2 + 2*r**2 + 3. Let z(j) be the second derivative of q(j). What is the derivative of z(m) wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/3 - 825733*t\/3 - 275244 = 0.\nAnswer: -825732, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19889 + -1013?\nAnswer: 18876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.045 - -0.345. Let t = -78.3 + q. Let c = -82 - t. What is the closest to c in -0.5, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1127005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 - -4?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4467308, 4467305, 4467302, 4467299, 4467296?\n\"Answer: -3*v + 4467311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6410 = 2*f, 3*u - 3483 = 2*f + 6132. List the prime factors of u.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**5*r)*r)\/(r\/r**(2\/9))*((r**4*r)\/r)\/(r*r**0) assuming r is positive.\nAnswer: r**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-4)\/(-38) + 56160\/(-572508)). Solve -6*z + 267 = b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1082 + 367 = 0. Let y(z) = 76*z**3 - z**2 + z + 1. Let f be y(-1). Let t = f - k. What is the greatest common divisor of t and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 1652 = 23*w. Solve -w*r + 4 = -119*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m + 12. Let q(i) = -7242*i**2. Calculate v(q(z)).\nAnswer: 101388*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(70\/30*3))\/(6\/(-28)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1168116 divided by 1168116\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 + 142.9. Let t = 6 + w. What is the nearest to t in 0.3, -1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 6504?\nAnswer: 11\/3252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*s - 2*s + 27, 8 = -4*s. Let j(m) = -10*m**2 + m. Let v be j(1). Let i = -5 - v. What is the smallest common multiple of i and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1730240 divided by 16.\nAnswer: -108140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: d4 (base 14) to base 4\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427933 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771460 is divided by 557.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i**5 + 352*i**4 + 13804*i**3\/3 + 20254*i**2 + 1859*i - 4394\/3 = 0 for i.\nAnswer: -13, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**2 - 19*g**2 - 24*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1793 + -1771. Solve b = -q + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -34, -22, -8, 8, 26, 46?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-72)*9\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 26 = -10*o + 12*o, 0 = -4*g - 4*o + 28. Let c(s) = s**3 - 11*s**2 + 7*s + 14. Calculate c(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i - 195. What is the units digit of q(53)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22960 divided by -718?\nAnswer: -11480\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/5 + 2*j**2 - 5*j.\nAnswer: -j*(j - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 + -1375?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23184 and 3864?\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, 4, -305\/18, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 = 403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456364111 to the nearest integer?\nAnswer: 21363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6414 or -7944?\nAnswer: -6414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 1577\nAnswer: 34694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 568 + 76. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 - (-34)\/6. Suppose -8*x + g*x = 0. Suppose -2*c + 12 = -3*o, -o + 4*c + 1 - 15 = 0. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 3:51 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -n + 36. Let u(h) = h. Let t(v) = -v. What is n*t(z) - 3*u(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/16*176\/(-6). Let x = 28 + -6. What is the highest common divisor of t and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 0.082313.\nAnswer: -1.234695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 20*j**2 + 69*j - 349. Calculate m(22).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*y + 6, -3*y = -0*y. Suppose -w*z + 13 + 11 = 0. What is the third derivative of -31*n**4 - 4*n**2 + 3*n**6 + 31*n**z wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 8*h + 60 = 0, -66*x + 15 = -64*x + 5*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1009 - 7040\/7. Calculate the common denominator of 50\/49 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwswwwww. Give prob of picking 3 w.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2213112 + 21?\nAnswer: 2213133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28967 + 28966.982169. Round w to 4 dps.\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2553 and 17544423?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 559000, 2, 0.4?\nAnswer: 559000","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {l: 1, s: 3, y: 4, z: 6}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290001*n**5 - 7*n**3 + 7043964*n + 2.\nAnswer: -5800020*n**3 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 389*w + 4552. Let o(k) = -2*k**2 - 399*k + 4553. Let i(d) = -3*o(d) + 4*v(d). Differentiate i(p) wrt p.\nAnswer: -4*p - 359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1259*c**5 - 1334*c.\nAnswer: 25180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169849 rounded to the nearest 1000?\nAnswer: 2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 11, -10, 1, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + p**2)*(-p - p + 3*p) + 3*p**3 - 9*p**3 + 2*p**2 + 0*p**2 + (-4*p**3 + 4*p**3 - 2*p**3)*(2 - 5 + 2) - 1 + 1 + 2*p**3.\nAnswer: -p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from eeeeeeaeeaeee?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48277 times 3?\nAnswer: -144831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -72\/1045, -155, 0.3 in descending order.\nAnswer: 0.3, 1\/4, -72\/1045, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -19983, 4, -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 12. Suppose -2*y + s = 3*x, 4*y + 0*x - 48 = 4*x. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**8)**15\/(k**(-1\/14)\/k**36))**(-2) assuming k is positive.\nAnswer: k**(-2185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33179 is divided by 651?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2604?\nAnswer: -2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/78608 and -63\/1054.\nAnswer: 2436848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o. Let t(b) = -7*b**3 - 5*b. Suppose 3*m + h - 6 = 4*m, -4*h = -20. Suppose -8*a + 25 = -3*a. What is a*l(s) + m*t(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-119))\/((-15)\/7)*693\/616.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*i**2*k*x**2 - 12*i**2*x**2 - i*k*x**2 + 4*i + k*x**2 wrt i.\nAnswer: -26*k*x**2 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14*g**2 - 3*g + 2. What are the prime factors of r(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589850 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 17*o**2 - 10*o - 109. Calculate q(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2113 - -2140215?\nAnswer: 2142332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 26.\nAnswer: -21\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - 0.4?\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15430, 15428, 15426, 15424, 15422, 15420?\nAnswer: 15418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/(w\/(w*w\/(((w**(-3)*w*w)\/w)\/w)))*(w\/((w**0*w*w)\/w))\/w**(2\/5)*(w\/w**(-2\/19)*w**2*w*w)**(1\/3) assuming w is positive.\nAnswer: w**(4723\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/6)\/(15\/12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.62929l to millilitres.\nAnswer: 98629.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1124)\/160 + 7)*(-1425548)\/(-2). Let g = -17823 - d. Find the common denominator of 85\/8 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r + 82. Let m be c(-16). Let h = m + -278. Put -1, 2, -3, h in decreasing order.\nAnswer: 2, -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119.8 - -120. Is 0 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y + 31. Calculate w(-11).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x - 4*q - 14 + 46 = -46*x, 5*x - 38 = -107*q + 111*q for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 25. Let b = n + -7. Suppose 2*f - 22 = 2*g, -2*f - b*g - 7 = -1. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*d**3 - 58*d**3 - 418*d**3 + 245*d**3.\nAnswer: 66*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - n - 1. Let q(l) = -48*l**3 - 22*l - 6. Let d(v) = -q(v) + 6*t(v). What is the second derivative of d(s) wrt s?\nAnswer: 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(2))\/sqrt(8)*-5)**2 + sqrt(7)*-2*5 + 4.\nAnswer: -10*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = -2*w, -2*t = w + 3 + 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 20*m**2 + 19*m + 3. Let v be t(-19). Let c(z) = -z**2 + 3*z. Let o be c(v). Let d be 3 + 0 + -3 + o. Do 18 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2436 - -4.2436. Suppose 6*n - 2*n + 12 = 0. Which is the fourth biggest value? (a) 3 (b) n (c) -0.1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1071 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {c: 1, d: 1, y: 1, o: 1, w: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 40*g**2\/3 - 173*g\/3 + 44.\nAnswer: (g - 3)*(g - 1)*(g + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4845735?\nAnswer: 3, 5, 257, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 + (-30)\/7. Let v = w + 5. Let t = -1 + v. Solve t = -2*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3551.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -88, -87, -84, -79, -72?\n\"Answer: h**2 - 2*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*v - 55*v + 200*v to t + h*v and give h.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 139391.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + 2.77. Which is the second biggest value? (a) 1 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -115*u + 2420. Let t be w(21). Sort 210, 3\/4, t, -5 in descending order.\nAnswer: 210, t, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 2*s - 6. Let h be 2\/((-4)\/3 + 2). Suppose 0*q + q + 13 = 2*g, h*q - 1 = -2*g. Suppose -x - 10 = -g*y, 2*x - 4*y - 1 = -3. Give p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46079040 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 133.9. Which is the nearest to t? (a) -4\/9 (b) -5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 - 13*l**3\/3 - 11*l**2\/2 - l - 8. What is the hundreds digit of q(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-1)\/6)\/((-1)\/(-2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11*13\/((-1573)\/(-33)). Solve 5*s = -t - q*t - 35, 25 = -5*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36731\/6 - -6105. Find the common denominator of c and -69\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 3, -0.6, 157 in decreasing order.\nAnswer: 157, 61, 3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59458 and 4797466?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 4*k**2 + 195*k - 201*k - 6. Let l be v(-4). Solve l = z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (24 + -23 + -88)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 1. Let t be u(-2). Let g = -6330 - -15010. Suppose -5*k + g = -s, t*k - 17380 = 2*s + 2*k. What is s rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10241.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 26a800?\nAnswer: -26a803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u + 646 = -64*u - 730 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32169, 32171, 32173?\n\"Answer: 2*v + 32167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:17 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15153 - 15148. Solve -4*q - 14 = -x, -17 - 5 = c*q + x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 (base 3) in base 6?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -12. Put 0, h, 2, 2\/17 in increasing order.\nAnswer: h, 0, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 881, 2177, 4017, 6407?\nAnswer: 9353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82596 - 21546 = 37*m. List the prime factors of m.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38099 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -21*o. Let u(a) = 58*a. Let m(k) = -11*g(k) - 4*u(k). Let b(r) = 9*r + 4 + 2*r**2 - 4. Give b(m(s)).\nAnswer: 2*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/((i*i**(-8\/7))\/i)))\/((i*i**3)\/i))**(-27))**0)**17 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272144631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -10470146?\nAnswer: 10470145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*k + 13*k - 26*k + 4*k + 2*k - 2*k - 6*k + 3*k + 4*k - 3*k + 2*k - k + (-4*k + 3*k + 3*k)*(-1 - 2 + 2) - 5*k + 2*k + 4*k as u*k + l and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13012120 (base 5) in base 16?\nAnswer: -1ebd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 16 - 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -4\/9 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 546, 543, 540, 537?\n\"Answer: -3*k + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 2)*8\/12. Let c = d - 2. Suppose -17 = -o + 4*o + 5*m, 3*o = m + 7. Solve -3*s + o + 2 = c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*l**3*r - 3*k*l**3 - 27*k*l*r - 32*l**3*r + 4*l - 2*r wrt l.\nAnswer: 12*k*l*r - 18*k*l - 192*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 348*i**3 + 32*i**2 + 35*i + 1664. Let u(f) = -87*f**3 - 8*f**2 - 8*f - 414. Let m(a) = 9*u(a) + 2*w(a). What is the second derivative of m(q) wrt q?\nAnswer: -522*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 h, and 1 y when four letters picked without replacement from {i: 4, e: 1, h: 2, o: 10, y: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*m + 238*m - 98*m)*(-m - 3 + 3 + (3 - 3 + 2*m)*(-5 - 7 + 2)) to h*m**2 + c + b*m and give h.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c. Let a(w) = -w. Let f(p) = -10*a(p) + n(p). Let r(q) = -q**2. Calculate r(f(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 847540033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 z when three letters picked without replacement from zyyzyzyzzzyzzz?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let l(j) = -2199*j**2 - 2*j + 1. Let f be l(s). What is f rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.99649416 to three decimal places.\nAnswer: -1.996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3 - 65. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 31*z**2 + 17*z + 29. Calculate l(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 3\/2 (b) 7 (c) -44 (d) -12\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtz when four letters picked without replacement from {z: 1, m: 4, t: 5}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(19278\/24) + 6\/(-81).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/(-40))\/(-7)*4908\/(-2863).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/35*10\/6. Suppose 0*v - i*v = -14228. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2 + 2)*(17*o + 23 - 23) - 1 + 1 - o - 2*o**2 + (-13*o - 9 + 9)*(-2 - 2*o + 2) to the form x + b*o + j*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 81326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2818186*o**3 - 1408713*o**3 - 1408916*o**3.\nAnswer: 557*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10\/(-7))*((-126)\/(-27))\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 5*l + 1 + 7, -2*l = 8 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.165 + 0.065. What is the closest to n in 1, -0.08, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11007070.\nAnswer: 2, 5, 79, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 46*q + 5. Let c(j) = -55*j - 4. Let w(m) = -6*a(m) - 5*c(m). Determine w(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88791 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15551a + -58?\nAnswer: -155577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 + 102 - 60 + 18*c - 18*c + 15*c**3 to the form r*c**2 + n + s*c**3 + z*c and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.2, 4 in increasing order.\nAnswer: -0.2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -273*n - 18. Let u be i(6). Let y = u - -2534. List the prime factors of y.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 - 406*s**2 + 1109398*s wrt s.\nAnswer: 20*s**3 - 812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**3 + 179*w**2 - 386*w + 120 = 0. Calculate w.\nAnswer: 3\/8, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874488358?\nAnswer: 2, 19, 179, 275579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2566343 and 1591517.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**36*a)\/(a*a**(-6\/31)) assuming a is positive.\nAnswer: a**(1122\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 56*o**2 + 3*o - 3. Let r(u) = 281*u**2 + 16*u - 17. Calculate -11*f(n) + 2*r(n).\nAnswer: -54*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**3\/6 + b**2 + b. Let k be s(-3). Suppose -k*m - 8 = -43. What is the greatest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) -0.472 (c) -1\/6 (d) -2 (e) -0.5 (f) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and -8.1?\nAnswer: -437.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 27*d**2 - 1\/6*d**3 + 0*d + 0 + 1\/12*d**4. Let v be y(1). What is the biggest value in 4, v, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*a - 106 + 111 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8858060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*c**2)*(9*c + 14*c + c) - c**3 - 2*c**2 + 2*c**2.\nAnswer: 47*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 653554?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*m - 220*m - 56*m)*(-3*m**3 + 6*m**3 - 2*m**3).\nAnswer: -414*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325290636.\nAnswer: 2, 23, 61, 236153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 - 20662*w**4 - 41318*w**3 - 20658*w**2.\nAnswer: -2*w**2*(w + 1)**2*(w + 10329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1715 (b) -4 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -80 (b) 3\/8 (c) 3 (d) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134721\/248 - -4355\/8. Calculate the common denominator of 109\/6 and t.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z - 33. Let w = z - -13. Let l = -9 + 11. Solve -2*u = -n - l, w*n = 4*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -80*b**3 + 2*b**2 + b - 1. What is the remainder when s(-1) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-214)\/14 - (-24)\/84. Let n be (-2)\/(1*(2 + -1)). Suppose 13 = 2*a - 24*u + 27*u, 0 = 5*a + 2*u - 16. Put o, n, a in ascending order.\nAnswer: o, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -21, 1, 39, 99?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 801507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from {l: 3, q: 1, o: 1, w: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ekqenzneez.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17837830?\nAnswer: 2, 5, 1783783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1634.57 - -1635. Let t = 46836.81799953 + -46836.388. Let q = a - t. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.24 greater than 1159.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2354957 to the nearest 1000.\nAnswer: -2355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624772.9ns to milliseconds.\nAnswer: 0.6247729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -4 - -2 - 3 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 4, -308, 12.\nAnswer: -308, -3, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v + 272. Determine o(24).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1438274 + -7305274. Round h to the nearest one hundred thousand.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 - 2*h + 3. Let f(a) = 18*a**2 - 5*a + 7. Suppose 10 = -0*g - 2*g. Let q(o) = g*l(o) + 2*f(o). What is q(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 1. Does 19 divide z(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39939 divided by -39939\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10407 + 6081 = -8*v. Let o = v - -47395\/23. Is o not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271500 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhk when four letters picked without replacement from kkhkkkhhkhkhhhkkhhk.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**4\/4 - 10*t**3\/3 + 4*t**2 + 11*t - 5. Let f be m(9). Put 6, f, 4 in ascending order.\nAnswer: f, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s - 15*s - 20*s - 17*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6920 and -189.4?\nAnswer: -1310648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -22*p**2 - 28 + 34*p + 20*p**2 - 55*p. Let g be s(-9). Let k(z) = z - 1. Let j(q) = -7*q + 3. Give g*j(b) - 5*k(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562531 is divided by 62349?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.1 + 22. Let s = -3.581 + c. Let m = s - 0.3. What is m rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a + 142. Suppose 2*h - 3*h = -a. Find the third derivative of 71 + 7*v**3 - 2*v**2 - h + v**2 wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 63*n - 5*n**3 - 3*n**2 + n**2 - n**2 in the form s*n**2 + p*n + g*n**3 + x and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7 - 4*v + 14*v + 45*v**2 - 2*v. Let w(p) = 4*p + 14. Let n be w(-3). What are the prime factors of d(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(4 - 1))\/1. Let f = q - -9. Let s(l) = -l - 1. Let v be s(-4). Solve u - 18 = v*u + 4*j, 0 = -4*u + 5*j + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7102 + 2374 + 376*h + 2373 + 2368 to r + s*h and give s.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 32*n + 43. Let w be l(-10). Which is the third smallest value? (a) -0.2 (b) 2\/11 (c) -5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 12 + 123. What is the remainder when 51 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.3. Let y be ((-8)\/42)\/((-84)\/63). Which is the closest to h? (a) y (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*c + 5535 = -9205, -5*u = -c - 18405. List the prime factors of u.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3895896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -5*f**3\/3 + 3*f**2 - 6. Find the second derivative of v(l) wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:02 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, g: 4, f: 1, j: 1, a: 2}. What is prob of sequence gsfg?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110663189 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 7*u**2 - 11*u + 12. Determine l(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 8*i + 8. Let u(a) = a**2 - 3*a + 3. Let m be 1\/(4 - 66\/16). Let z be ((-3)\/4)\/(1\/(-4)). Determine m*u(p) + z*c(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-4))\/(2103\/2804).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9*h + 1. Give k(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.91 take away -2812360351?\nAnswer: 2812360180.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2\/115 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 23*t**3 - 174*t**2 - 432*t.\nAnswer: -t*(t + 6)*(t + 8)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(z + 2*z - z)*(-5 - 4 + 12)*(-4*z - 2*z + 4*z) + (3 - 3 - 4)*(-2*z**2 - z**2 + 2*z**2).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333330 - -1213?\nAnswer: -332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 936, 3646, 8164, 14490, 22624?\n\"Answer: 904*w**2 - 2*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000039204298 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12484 divided by -6242.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4479 - 7*v + 4479 as g + s*v and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 3, h: 1, c: 5}. Give prob of sequence rh.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -519 - -529. Solve -10 = -l*x + 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 19. Let b be (3 + -2)\/(q\/8). Solve 0*k - b = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, b: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 6. Let f be z(0). Let u(r) = -14*r - 7. Is 36 a factor of u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4163 + 4191. Sort 1, l, -8 in ascending order.\nAnswer: -8, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Let p be (-9)\/6*2*-1. Suppose p*i = l*i - 30. Calculate the greatest common divisor of i and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2616019504 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y**2. Let g(r) = -381*r**2. Give q(g(s)).\nAnswer: -1451610*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90545 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-6)*2232\/(-744).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) + (-10816)\/(-72). Suppose r - 4*y = 5, -4*r - 4*y - 50 = -t. Calculate the lowest common multiple of r and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -1568248.\nAnswer: 1568248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2961501738.\nAnswer: 2, 3, 13, 229, 165799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4380?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/15 + 46\/10. Suppose -2 + y = m. Suppose -2*q = q + 3, 4*f = -m*q - 15. Sort 4, 1, -2, f in descending order.\nAnswer: 4, 1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1445\/(-1734) + ((-5)\/(-6) - 0). Let g = -4 + 5. What is the smallest value in g, -9, -3, w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257865634 a multiple of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzlzhzzszzszhhzzgs. What is prob of picking 2 z?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 48*a**2. Let o(i) = -2*i**2. Determine m(o(s)).\nAnswer: 192*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 25. Suppose 141 = z - u - 159, 3*z = b*u + 900. What is z rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52268797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73950822.\nAnswer: 2, 3, 11, 373489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 15*q - 37809 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 19*q**2\/2 + 5*q - 70. Let m(a) = -2 + 7*a - 4*a + 6*a + 4. What is -2*l(k) + 5*m(k)?\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + f**2 - f**2)*((0 - 1 - 1)*(-2 + 2 + 4) - 6 - 9 + 1)*(2 - 6 + 2)*(-3 + 2 - 2) as s*f + b + u*f**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 18*b**2 + 21*b + 50. What is z(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2 + 27*o + 29. Is z(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:59 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 12680.\nAnswer: 1\/2536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 16*o. Calculate d(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40174737 divided by -3\nAnswer: -13391579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(720)*3 + 1 + ((sqrt(180)*-3)**2 - (sqrt(10)*2)\/sqrt(2)) + -5.\nAnswer: -182*sqrt(5) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/65 and -62\/2995.\nAnswer: 38935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39200761\/69390398 + 2\/450587. Find the common denominator of s and 9\/242.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = 4*j, -j - 15 = -2*c - 46. Let n = c + 12. Is 1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6039, 12077, 18115, 24153, 30191, 36229?\n\"Answer: 6038*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 352 * -0.05\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/115479150 and -41\/342.\nAnswer: 346437450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21620 = -97*f - 4*f + 14348 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*10\/20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5 + 15*p**4 - 794*p**3 - 138310*p**2 wrt p.\nAnswer: -120*p**2 + 360*p - 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33153, -33011, -32871, -32733, -32597?\nAnswer: -32463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 54 = 3*f. Let g be 53\/2 - f\/(-32). What is the remainder when -2*(3 - g\/2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2826, -1979, -1134, -291, 550, 1389?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*k**2 + 24139880*i**2 - 66810*i - 10*k**2 - 4 wrt i.\nAnswer: 2*k**2 + 48279760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - -224625?\nAnswer: 22465b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 + r**3 - 2*r**3)*(-3*r**2 - 3*r**2 + 5*r**2) + 111*r + 118*r - 308*r - 12*r**5 + 98*r.\nAnswer: -16*r**5 + 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1123, -1069, -987, -883, -763?\n\"Answer: -t**3 + 20*t**2 + t - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2796427g?\nAnswer: 279642700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6703?\nAnswer: 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16588 - 16587.999979937. Round a to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 4877592 = 19*y. Let w = 4770602 - y. Round w to the nearest one hundred thousand.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63216556 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*i - 135 = -2*a, 4*a - 176 = 5*i. Let u = -4 + 14. Calculate the remainder when a is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -t + 3. Let w = -12 - t. Suppose -q + 16 = 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 is the second biggest value in 0, -0.009, -1, -2, -64, 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/119 and 32\/1101379?\nAnswer: 7709653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 571302 and 36.\nAnswer: 1142604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/9 - 1658*a**3\/9 + 552*a**2 + 2*a + 134. Factor h(n).\nAnswer: 4*(n - 828)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:18 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let h be r(-4). Suppose -h*o + 25 = 4*f, 3*f + 0 = 4*o + 11. Let b(t) = t - 1. Let x(l) = -l - 4. Give o*x(j) - 4*b(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -30*v**3 + 30*v**2 - 4*v. Let f(s) = 61*s**3 - 58*s**2 + 9*s. Determine -4*f(y) - 9*t(y).\nAnswer: 26*y**3 - 38*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(9)\/sqrt(108) + sqrt(3) - sqrt(192)\/sqrt(4))**2.\nAnswer: 289\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/11, 0.1, -3\/5 in descending order.\nAnswer: 3, 0.1, -2\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 55548*b + 385697538.\nAnswer: 2*(b + 13887)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -874 + 1418. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 138*p**2 + 2*p + 4. Let c be o(-3). Suppose 0 = 3*d - 5*t - 925, 0*d + 5*t + c = 4*d. Calculate the highest common divisor of d and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*i**2 + 35*i**2 + 23*i - 18*i.\nAnswer: -227*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 2*u)*(-9 + 12 - 53).\nAnswer: 100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -1207 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 93, 129, 149, 147?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -0.09. Suppose -4 = -2*w + 2, u + 5*w = 19. Let f = -0.024 + 22.024. Which is the third smallest value? (a) x (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6947952 and 17232?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 75*k - 6. Let q(v) = 161*v. Give r(q(u)).\nAnswer: 12075*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 61, -89, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 13*a - a + 3 with respect to a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 2, -2\/4361?\nAnswer: -2\/4361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. Sort -5, 3, r in increasing order.\nAnswer: -5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 66 - 8 = 4*k, 5*k - t = 69. Let b(n) = -n**3 + 3*n**2 + 4. Let m be b(3). Solve 0 = m*y + 2 - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672694.4 millimeters to centimeters.\nAnswer: 67269.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 10*f. Let g(i) = 3*i**2 + 2*i + 20. Calculate the remainder when 55 is divided by g(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-16)\/3 - 0)\/(27750\/666) and -5\/3?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33696010 and 0.\nAnswer: 33696010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.61 - -4606703232.\nAnswer: 4606703236.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 + 27*v**2 + 148*v + 13. What is l(-11)?\nAnswer: -5003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 5*a + 1. Let z(l) be the first derivative of -l**3\/3 + 3*l**2 + 21*l + 5. Let w be z(9). Give d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 1. Suppose j + 4*c = 12, -15 = -3*c - 3. Let f(n) = -7*n + 2. Determine j*q(y) - 3*f(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4885 is divided by 391.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.001 - -11.901. Let g be 0 - 2 - 22\/(-12). What is the closest to s in g, 0.5, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from uouukfyuyuuy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjj when three letters picked without replacement from jjjbjbbjbjjb?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.804 (b) 3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 16 - 16)*(-3 + 2 - 1) + (-3*o + 0*o + 2*o)*(2 - 5 + 2) + 1 - 1 + o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 1305.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 89 = m + 268, -5*w - 43 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 241*k - 1201. Let q be a(111). What is the highest common divisor of q and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -26, 23, 92, 181, 290, 419?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31330330 (base 4) to base 14.\nAnswer: 16b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52555300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 3*j + 3. Let b = 68 + -65. Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = 0, -5*y - 2*r - 80 = r. Calculate the remainder when 38 is divided by -1*(y + -1 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78503 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51448 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**8\/6720 - j**7\/630 - j**6\/144 - 29*j**4\/24 + 3*j**2 + 2. Let m(q) be the second derivative of l(q). Factor m(r).\nAnswer: r*(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o + 9*o + 6*o + (3 - 1 - 1)*(-7*o + 4*o - o)*(-1 + 0 + 2)*(-11 + 1 + 1).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1951408nm to millimeters.\nAnswer: 0.0000001951408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, i: 6, w: 3, o: 1, r: 1}. What is prob of picking 1 o and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -99 - 11. Let b be 3750\/55 - (-4)\/m. Let k be ((-36)\/16 + 3)\/((-1)\/b). Is -1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 145214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)*-4*(-6)\/(-72)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 4:56 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 43. Solve z - 2*z = 0, 0 = -4*g - a*z + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156) + (sqrt(156) + (sqrt(156) - -3*sqrt(156) - sqrt(156) - sqrt(156)))*-6))\/((sqrt(60) + 6*sqrt(360)\/sqrt(6))\/sqrt(5)).\nAnswer: -102*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56094?\nAnswer: 2, 3, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557.3 litres in millilitres?\nAnswer: 1557300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 1. Let c(l) = 2*l**2 + 3. Let m be (29 - 15)\/((-28)\/(-8)). Give m*a(x) + c(x).\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqu when three letters picked without replacement from fqffufqqu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 4358*z + 8693. Give i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwziz. Give prob of picking 1 i and 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**3\/3 + 2*x - 72. Let l(v) be the third derivative of -v**5\/30 - 2*v**2 + 12*v. Give l(c(w)).\nAnswer: -2*w**4 + 8*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-665)\/(-105))\/(95\/15)*6\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(0 + 0 - x**3) + 9*x**3 + 7 - 22*x**3 - x**2 + 11*x**3.\nAnswer: -3*x**3 - x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (6 - 27)) + (1 + 0 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307968 is divided by 6285.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8617 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2. Let b(y) = 911087*y. What is o(b(x))?\nAnswer: 4150397607845*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -206\/21 and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 + 198*x**2 - 110*x - 4. Give k(-50).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 73.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = -140. Suppose 8*t - 5*t = a. Calculate the smallest common multiple of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6534, 12946, 19106, 24888, 30166, 34814, 38706?\nAnswer: 41716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*v + 3*a - 4, 19 = -5*v - 3*a. Let p be 0*((-5)\/v - 3). Solve p*z = 2*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92201635, -92201634, -92201633, -92201632?\nAnswer: -92201631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044242 rounded to five decimal places?\nAnswer: 0.00442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20.229495 months?\nAnswer: 1.68579125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -29*w**2 + 16*w - 107. Let s(t) = -4*t - 2. Let n(k) = -q(k) - 4*s(k). What is the first derivative of n(p) wrt p?\nAnswer: 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113.5 - -113.8. What is the second smallest value in g, -0.02, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 36, 82, 146, 228, 328?\n\"Answer: 9*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*o + 2*o - 626, -3*o + 312 = 2*s. What is the remainder when s is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/(-39))\/((-102)\/(-51)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 462*k - 466*k - k**4 - 1 + k**2 + 2*k**4 as m*k**2 + x*k**3 + u*k**4 + o*k + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 4149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 2*j)*(-2*j - j + 2*j) - 6*j**2 + 9*j**2 + 0 + 2.\nAnswer: 5*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*2)\/(0 + 1). Suppose 3*w - 10 = -4. Suppose -n - 27 = 2*n. Sort n, w, a.\nAnswer: n, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396)*-2 - (sqrt(396)*-2*4 + sqrt(396))) + 1 + 5*sqrt(396)*2)**2.\nAnswer: 252*sqrt(11) + 174637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46224705.\nAnswer: 3, 5, 839, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**3 - 18*g**2 + 20*g - 42. Let x(u) = u**3 + 2*u**2 + u + 4. Determine -9*x(s) - y(s).\nAnswer: 2*s**3 - 29*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002052698 to seven decimal places.\nAnswer: 0.0002053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(2 + sqrt(153)) + sqrt(153) + -2 + 1).\nAnswer: -126*sqrt(17) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*m - 11 = 5*k, -3*m = 4*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 27759 - 23745 = 39510. What are the prime factors of o?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**3 - 7*w**2 - 9*w. Let k(i) = 3*i**3 + 3*i**2 + 4*i. What is 3*a(t) + 7*k(t)?\nAnswer: 3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let f = q - -4. Suppose -5*r + 4*u + 15 = f, r - 5*u = -3 + 6. Solve -i + w = -w, w = -r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.1158 - 57.2. Let o = v - -0.083487. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*f + 5*l - 213, -5*f + 3*l = -443. Suppose 0*c + f = 4*c. Does 31 divide (-3 - (-36)\/8)*c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/5, -23, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/85*((-45)\/15)\/21?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = 4*h - 54, 4*h = 2*c + 28. Suppose 4*d + 14*n = h*n + 9798, 2*d - 4896 = -n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m + 10. Let h = 3516\/7 + -499. What is the common denominator of 146\/(-8) - (0 + m) and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**3 - g**2 + 1. Let o(i) be the second derivative of i**3\/6 + 7*i**2\/2 - 4*i. Let s be o(-6). Determine b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8545083 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -752 times 9\nAnswer: -6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, 142, 203, 276?\n\"Answer: 6*c**2 + 31*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 34367*q - 584. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose -v*u + 6 = -0*u. What is the third derivative of -2*q**2 - q**2 - 4*q**3 - u*q**2 + q**3 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 136\/(-60) - (-132)\/495. Which is the second smallest value? (a) -0.4 (b) i (c) 13 (d) 0.4 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2175372 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511374 and 594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 8. Solve y*u = 5*m - 8, -5*m + 1 = u + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2760 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032209 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 122 = -174. Suppose -n = -5*m + 4*k + 2, -2*k - 8 = 0. Find the common denominator of 7\/18 and (m\/(-270))\/(4\/455).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5980, -5800, -5612, -5416?\n\"Answer: 4*h**2 + 168*h - 6152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((-792)\/(-360))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2673*o + 2680*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (18285\/78016)\/(115\/20 + -7)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85 - -24) + 886109\/14523?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/247 - -10217\/2470. Find the common denominator of h and -37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2905491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:47 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 1\/((-4)\/60906504). Suppose 88826630 = 4*u + n. What is u rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 24*y + 100. What is k(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15554167 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4772521.\nAnswer: 13, 47, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2401 - -2406. Solve -2 = 4*l + r*q, q + 12 = 2*l - 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13640971 is divided by 1548.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 90. Let p be 54\/21 + -6*v\/(-2). Sort -0.2, p, -4\/5, 5 in descending order.\nAnswer: 5, -0.2, p, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.390248 - -0.39. What is c rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 - 2) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -13443?\nAnswer: -13440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 3. Determine g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284 times -91?\nAnswer: -389844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3088149250 rounded to the nearest one million?\nAnswer: -3088000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -515*f**6 - 12*f + 91*f**2 - 212*f**2 + 125*f**2 wrt f.\nAnswer: -61800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 3. Suppose -2*t = k - 4, -t = 3*k - 0*t + 13. Let h be f(k). Let d be (-1)\/h - (-4)\/10. Are 2\/7 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5 - (-10 - -1 - -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.36 + -0.46. Which is the closest to 2? (a) -5\/3 (b) 0.3 (c) s (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6194063 and 84529.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52702 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 30. Suppose -l + n = -p, -2*l + 3*n + 24 = -l. Solve -y + 5*s = y + 23, 2*s - l = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14811 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-1260)\/(-48))\/((-3)\/(-8)). Let n = r + -106. Which is smaller: n or -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39\/56 - 3539\/4760. Let u = 482\/595 - x. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*l**2 - 1240*l**2 - 1977*l**2 - 3636*l**2 + 418*l**2 + 537*l**2.\nAnswer: -6150*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.24 - -3.46. Let a = 33.7 - w. Let b = 30.04 - a. What is the closest to b in -4, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, h: 1, k: 1, t: 1, u: 1, q: 1}. What is prob of sequence qyyh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 4*o - 4. Determine i(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + 18*b - 8. Give l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**2)\/i)*i)\/(i*i**5\/i*i)*i**(-4)*i**1 assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17679 * 31\nAnswer: -548049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32597 (base 10) in base 15?\nAnswer: 99d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -45\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115106955 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, h: 3}. Give prob of sequence hccc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/4)*x**(-2\/13) assuming x is positive.\nAnswer: x**(-21\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 7167.\nAnswer: -7167.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, b: 2, q: 4, f: 5}. What is prob of picking 1 q and 2 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 5. Suppose p*m - 16 = m. Let a be m\/3*3\/2. Solve 7*r = a*r - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*s - 46*s - 4 - 70*s - 32*s to the form r*s + h and give r.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 763103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30291.72mg in kilograms?\nAnswer: 0.03029172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 118 - 132*n - 330 + 85 + 97 - 62.\nAnswer: -132*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-25)*205\/(-2). Let v = 129 + i. Let q = v + -22. Calculate the least common multiple of 7 and q.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1659 and 6672498.\nAnswer: 6672498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24125 (base 9) to base 5.\nAnswer: -1004032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2119 and 2118 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 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: What is 553 minutes before 11:02 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 11, b: 7}. Give prob of picking 2 a.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - -48. Let j = z + -115.5. Is j != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + -12 + 10\/4. Let d = 250 - 162. Let m = d + -89. What is the nearest to -2\/7 in -2\/9, i, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12645 = 5*i, 6*q - i = 4*q + 5061. What are the prime factors of q?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1767622 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let g be a(-2). Suppose k - g = -2*j, 5*j - 17 = -5*k - 2. Calculate the highest common divisor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*s - 68 = -2*q, 2*q - 5*s - 47 = 0. Suppose -q*f + 14*f + 758 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let k(p) = -6*p + 4645. Determine b(k(w)).\nAnswer: 72*w**2 - 111480*w + 43152050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 8 = -a, -3*l + 1 = 5*a - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 16. Suppose 0 = -5*d + 2*q - 16, -2*q = -5*d - w*q - 4. Which is the second biggest value? (a) d (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {y: 1, x: 3, g: 2, m: 6, a: 3, u: 5}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 - 2*r - 9. Let d be l(11). Let h(g) = -g**2 + 15*g - 12. Let y be h(13). Let n be d\/(-35) - (-4)\/y. Solve 3*c - n = 8*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154139.\nAnswer: 17, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 2. Let h be w(5). Put h, -3, 3 in increasing order.\nAnswer: -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 14*u**2 - 6*u**2 - 1)*(-5 + 5 - 4*u**2).\nAnswer: -20*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 45 = u + 5*w, -60 = -4*u - 2*w. Suppose 0 = 5*i + u, -3*j - 3*i + 36 = -5*i. Suppose -j*a + 4*a = -666. What are the prime factors of a?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -44*d**2 + 6035*d - 959. What is k(137)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -2006*l**5\/5 + 900*l + 1376. What is the first derivative of v(y) wrt y?\nAnswer: -8024*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let u(b) = 2*b**2 + 3*b - 3. Let q be u(v). Suppose 2*c + 3*s = -10, -c - 2*s + 13 = -5*s. Calculate the highest common factor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.12 - -0.12. Put -5, 0.1, t in increasing order.\nAnswer: -5, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(42\/78)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283035 is divided by 6431.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524968505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.7730993 rounded to 2 decimal places?\nAnswer: 33.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b - 13*b - 7*b + (3 - 15 - 8)*(b + b - 3*b) + 2*b - 4*b + 0*b to g*b + j and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -355 + 710 - 2*o**2 - 355. Let j(t) = -2 + 14*t - 19*t - 3 + 9*t. Determine j(f(v)).\nAnswer: -8*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155.9 + -155.90056968. What is h rounded to five dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3399*s**3 - 2*s - 680 wrt s.\nAnswer: -20394*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30221 + 0?\nAnswer: 30221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -0.4, 1, -2.38?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*m - 712 = v, v - 152 = 3*m. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**4)\/d)\/(d*d**(-7\/2)))\/(d**(5\/3)*d**(-9)) assuming d is positive.\nAnswer: d**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdrhddrhqdfffhd. Give prob of sequence qf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -601246?\nAnswer: 15\/601246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - 26*m + 16. Let t(r) = 3*r**2 - 15*r + 9. Let a(l) = 4*n(l) - 7*t(l). Let u(o) = -6 + 14 - 2*o + 7*o - 13*o**2 + o. What is 6*a(h) - u(h)?\nAnswer: 7*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 282641497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -732, -666, -600, -534?\n\"Answer: 66*f - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1348842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 4*s**2 - 2*s - 6*s**2.\nAnswer: -2*s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616351171?\nAnswer: 1616351171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -147 + 144 - (-7 + 46)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1087 = u - 72, k - 2*u = 259. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32718, -35017, -37306, -39579, -41830?\n\"Answer: h**3 - h**2 - 2303*h - 30415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74197\/5 or -14838?\nAnswer: -14838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566412 is divided by 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 240, 3, -2 in ascending order.\nAnswer: -2, -1, 3, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.64906*-212\nAnswer: -349.60072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0*v**3 - 1\/4*v**5 + 0 + 80*v**2 - 5\/2*v**4 - 116*v. Let w(d) = 0. Calculate d.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85227.53 days to microseconds.\nAnswer: 7363658592000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-40)*((-260)\/13)\/((-16)\/172).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:55 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let j(k) = -4*k - 5. Let s be j(-4). What is the highest common divisor of p and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*l + 2*w - 11, 2*l + 4*w + 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9141?\nAnswer: 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 5) to base 6.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**3 + 2*i**2 - 2*i**2)*(14 - 27 + 16).\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193*n - 1665 - 4318 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14926511071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 60 = 15*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*m**4 - 20\/3*m**3 - 25*m**2 - 55\/6 - 80\/3*m.\nAnswer: 5*(m - 11)*(m + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + -14 - (-27)\/(-33). What is the second smallest value in -4\/5, z, 19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5385 is divided by 1489.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, t: 7}. What is prob of picking 1 c and 3 t?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*l. What is the third derivative of l*m**2 + 11*m - 2*m**5 - 11*m wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167972560*v**2 - 209881751*v wrt v?\nAnswer: -335945120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -544 - -543.7. Which is the smallest value? (a) -0.046 (b) -4\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -627.76731 to the nearest integer.\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1526, 1522, 1518, 1514, 1510?\n\"Answer: -4*l + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69908751 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1466*v**3 + v + 1466*v**3 - 2949*v**3 - 33 to j + f*v**2 + b*v**3 + z*v and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -837942*n**2 - 8992*n + 26976. Let s(g) = 559*g**2 + 6*g - 18. Determine -3*m(u) - 4496*s(u).\nAnswer: 562*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3307889 is divided by 831.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = -96 - 121 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:38 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*k**3 - 2382*k**2 + 103428*k + 63882 = 0. What is k?\nAnswer: -39, -39\/64, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125253877 to the nearest integer?\nAnswer: 11192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26675129 - -26941885357\/1010. Let c = 170\/101 + f. Calculate the common denominator of c and -35\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32100*h**3*z**3 + 66*h**3 - 12*h**2*z**3 - h**2 - 4*h*z**3 - 772*h*z**2 + 8*z wrt h?\nAnswer: 192600*z**3 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -10.83, 0.108.\nAnswer: -10.83, -4, -0.1, 0.108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 110023, 111258, 112493, 113728, 114963, 116198?\n\"Answer: 1235*l + 108788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/81*(-162)\/(-18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -5 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(96) - sqrt(96))\/sqrt(12))\/(2*sqrt(196) + sqrt(4)*1*3)*-3.\nAnswer: -48*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 32 - 16 - 18. Let j(p) = -p**3 - p + 9. What is -9*i(d) - 2*j(d)?\nAnswer: 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7906989.6 minutes in days?\nAnswer: 5490.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 26. Let s be (g\/(-6))\/(11\/(-220)). Suppose 10 = 4*t - s. Which is the nearest to -1? (a) t (b) 0.2 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/28 + (-45)\/(-40).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*s + 16, 3*g - 2*g = -3*s + 14. Suppose -w = d + 3, 27 = -w + g*w - 5*d. Suppose b + w*b = 6. Solve y - p = -y + 5, 0 = -b*p + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let i(h) = -148*h + 11. Let d(z) = i(z) + 4*x(z). Suppose -3*o + 29 = 50. Is d(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*f - 34388 + 13758 - 11100 = 0 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 16*n + 42 + (0 - 2*n + 0)*(-2 - 3 + 6) - 5*n - n + 0*n + (-5 + 4 + 2)*(0*n + n + 2*n) to z + q*n and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -8 + (-6 + -1 - (-3 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 - 1.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -74?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Let o = r - -4. Suppose 0*g = -o*g - 12. Put -1, 4, g in descending order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u - 1. Let x(l) = -1. Give -c(m) - x(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020007166?\nAnswer: 2, 3, 163, 173, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -2*c + 248. Suppose 3500 = 6*n + 3488. Calculate the least common multiple of c and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 14*o**6\/3 + 68*o**5\/5 - 80*o**4\/7 + 16*o**3\/7 + 194. Suppose i(c) = 0. What is c?\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8013 to one dp.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 5*u**2 - 3*u**2. Let v(p) be the first derivative of -2*p**3\/3 + 14738. Calculate v(y(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/14)\/b**(-8)*((b**(-2)\/b)\/b)**(-1\/42))**(2\/11) assuming b is positive.\nAnswer: b**(337\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2550 and 88944.\nAnswer: 2223600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 19*u - 14*u - 2094, 0 = 5*u - 4*o - 2097. Suppose 3*s + s = 152. What is the remainder when u is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 26\/(-6) + -1 + 2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 19*k - 43. Suppose 0 = -c - 0*c + 5*r, 4*c = -4*r + 96. Calculate the remainder when c is divided by l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 77*f - 1155. Let j be m(13). Solve -j*a + 14*a = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 120 = 0. Suppose -4*l + 5*l = 5*t, 0 = l + 5*t + y. Find the common denominator of 39\/16 and ((-202)\/30)\/(24\/l).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*r**4 + 97*r**4 - 152*r**4 + 22 wrt r.\nAnswer: 108*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1872, 3028, 4180, 5328, 6472?\nAnswer: 7612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.92665134047 less than -3?\nAnswer: -252.92665134047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 1\/12*t**4 + 2 + 2*t + 0*t**2 + 0*t**3. Let j(g) be the first derivative of c(g). Let p(z) = 2*z. Determine j(p(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -11 - (14 + -1 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/119, -2\/3, -132?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:40 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8205210 to the nearest one hundred thousand.\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 25 = -2*d. Let k = -37 + 25. Let m = k + d. Solve -o + 3*i + m - 1 = 0, -i - 15 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 33*g - 1. Let q(c) = -5007*c**3 - 6*c**2 - 198*c - 8957. Let l(y) = -q(y) + 6*z(y). Differentiate l(b) wrt b.\nAnswer: 15021*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9157745.\nAnswer: 5, 1063, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -70. Solve 0 = -0*x + x - 4*a + 17, 5*x - g*a + 34 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 5*m**2 - m + 4. Let q be n(-5). Let o = 75 - q. Let k = 861 - 851. What is the least common multiple of o and k?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 64\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**3 - 7392*b - 7450*b + 14838*b.\nAnswer: 49*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/19 and 17\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 503?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*z + 18 = -2*j, -2*z + 7 = 3*j. Suppose -3*h + 2*k + 16 = -2*k, -2*h = 5*k + 20. Let w be -6 - (1 - h)\/j. Sort w, 5, -1.\nAnswer: w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, 42 in ascending order.\nAnswer: -40, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*p + 17. Sort -2, p, -5 in ascending order.\nAnswer: -5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.3 - -19. Let u = 2.3000404 + y. What is u rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 70*a**2 + 11*a - 106. Let r be z(15). Suppose 0 = -5*p - 17*n + 12*n + 15825, 5*p - r = -n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Let c(j) = 2*j + 3*j**2 - j - 3 - 6*j. Let t be c(-1). Solve d*r + t = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 0. Suppose x - 1 = s. Let f(o) = -7*o**3 - o**2 - 2*o - 1. Give f(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2622095887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.22891 * 0.7.\nAnswer: 10.660237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2257573 (base 9) to base 5\nAnswer: -303004414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*h - 1572481, -5*h - 3*v = -2253686 + 288088. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 151\/3 in 5, 0.15, 2, -0.11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 57*f**2 + 44*f + 823. Calculate s(58).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - 48*n + 11. Let u(h) = 9*h**2 - 96*h + 19. Determine 9*g(o) - 5*u(o).\nAnswer: -9*o**2 + 48*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5151461\/52926 - -1\/17642. Let n = 96 - v. Calculate the common denominator of n and 50\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 11*r**2 + 12*r - 17. Suppose -23*j = -24*j + 7. Let g(a) = 3*a - 11. Let m be g(j). Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.5 - -30.5. Let i = -6 + 11. Suppose 5*g = -i*r, 5*r - 12 - 18 = g. Which is the nearest to 2? (a) -0.2 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2138, -2164, -2188, -2210, -2230?\n\"Answer: g**2 - 29*g - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.95 + -4. Let f = -4.95 + h. Which is the second smallest value? (a) f (b) -2\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047678201 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - o + 2. Let j(y) = -15*y**2 - 33*y + 18. Let u = -602 - -584. Let p(n) = u*c(n) + j(n). Factor p(s).\nAnswer: 3*(s - 6)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*h - 4. Let d be (3 - 7 - h)\/(-2). Solve d = 7*m - 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11070 and 61452?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5230 and 83300?\nAnswer: 43565900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-1 - (-29)\/10). Let w = 2 - -1. Let b = 371596 + -371591. Sort b, k, w.\nAnswer: k, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3 + sqrt(208)*-1)*4 + 4)**2.\nAnswer: 256*sqrt(13) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t - 3*t + 1 + 17*t - 1.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(4 + (-45)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -604*g**7\/7 + g**4\/12 + 1448*g**3\/3 + g**2\/2 + 8526*g. Find the third derivative of q(c) wrt c.\nAnswer: -217440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17242 = -9*i + 26228. Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/12 - 10*t**3\/3 - 75*t**2\/2 + 51*t. Is 25 a factor of f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 223, 425, 627?\n\"Answer: 202*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1 + 1 + 4 - 3 + (1 - 4 + 1)*(-1 + 3 - 3) - 4 - 1 - 2)*(292*i**2 + 17*i**4 - 299*i**2 + 41*i**4).\nAnswer: -290*i**4 + 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 7. Let u(j) = -19*j + 122. What is -5*d(x) + u(x)?\nAnswer: -9*x + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 2564*g**2 - 4*g + 2564.\nAnswer: 4*(g - 641)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r - 59*r + 130*r.\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 52581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10788 = -0*j - 6*j. What is the tens digit of (-9)\/(-36) - j\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2460?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16819*q + 16837*q = 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*((-8)\/(-4))\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26458, -26546, -26560, -26464, -26222?\nAnswer: -25798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let w(o) = 86499*o**2 + 32. Give u(w(j)).\nAnswer: -172998*j**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*(-15 + 14) - 4. Let c be -1 - (0 - (-1 + 1)). Put c, u, -2 in ascending order.\nAnswer: u, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-8)*212\/3 - -2. Let x = j + -12. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213 + 1335. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9292a (base 11) to base 12\nAnswer: 66540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1518 and 27\/3406507.\nAnswer: 224829462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 374 (c) -31\/6 (d) 2 (e) -0.1 (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-22)\/33)\/(28\/6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = l + 4, -5*c - 4 = 3*l - 13. Let v(r) = -r**3 + 9*r**2 - 8*r + 2. Let g be v(l). Factor 0 + 1\/4*b - 1\/2*b**g + 1\/4*b**3.\nAnswer: b*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 2*b**3 - 4*b**3 + 10*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 791136504 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 + -198. Find the third derivative of -35*c**4 - 43*c**a + 0*c**4 - 11*c**4 wrt c.\nAnswer: -1104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 + o + 5. Suppose -36*m - 68*m + 32*m = -648. What is the remainder when u(3) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 562661*v**3 + 268992.\nAnswer: 1687983*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/3 (c) -0.181 (d) 3\/104 (e) -3.1 (f) 2\/9 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s. Suppose -2*x + x + 6 = s. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 1 = -17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 + 2*j**3 - 6*j**2 - 2*j + 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231966240?\nAnswer: 2, 3, 5, 11, 43933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:10 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 768180 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2\/7 (c) 0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92217205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/29 (b) 5829 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 13*z**2 - 10*z. Give m(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxkkzkkqqkxkxkqkkk. Give prob of sequence qk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*d. Let w = 14 + -10. Suppose -w*v - 5*x + 0*x = -69, 4*v - d*x - 61 = 0. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244686*-0.06\nAnswer: -14681.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((2\/4)\/(7\/(-14))). Let y be 6\/k + 740\/50. Which is greater: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 5*k + 2*k. Let l(z) = 12*z**2 + 14*z + 7. Let y(s) = -11*s**2 - 12*s - 6. Let f(h) = -6*l(h) - 7*y(h). Give f(b(p)).\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 - 1080*l**3 - 29504*l**2 + 1080*l + 29500 = 0.\nAnswer: -25, -1, 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-15))\/((-8)\/(-200)). Let b = 66 - y. Calculate the least common multiple of 10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 7) to base 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31120 and 8?\nAnswer: 31120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52777452 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3860197 meters?\nAnswer: 386019.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -34*b + 676. Let l be k(20). Let f be (-2 + 2)*1*-1. Is ((-10274)\/(-44))\/(f + (-2)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82363b (base 13) in base 2?\nAnswer: 1011100100111111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 195073806 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by -1637.\nAnswer: 102\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110220 - 1031120?\nAnswer: -320300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-54)*-1)\/((-22)\/979638). Let p = 2488 - l. Find the common denominator of p and 67\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2368 - 792. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 35936 = 224*y + 19696 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1096*c**3 + 67*c**2 - 95130*c wrt c?\nAnswer: 6576*c + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2. Suppose 24 = 4*l + 3*w, 0 = -2*l - 4*w - 9 + 31. Let c(x) = -l*x - 4*x + 6*x. Determine c(d(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-22) + (-18)\/(-99). Let x be (-12)\/(-42) + n\/(-14). Suppose x = 3*h - 5*h + 324. What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -495 + 475 + (0 - -15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858d0 (base 14) to base 9.\nAnswer: 541714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y**3 + 15*y**2 + 7*y - 13. Let p(g) = 9*g**3 - 6*g**2 - 4*g + 6. Let j(k) = -2*m(k) - 5*p(k). Determine j(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**3 + 0 + 1\/30*z**5 + 0*z**4 - z**2 + z. Let n(b) be the first derivative of h(b). Let s(r) = -2*r**2. What is s(n(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 2 + 2*4*(2 + sqrt(2448))))**2.\nAnswer: 2496*sqrt(17) + 156841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8448.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2701 + 2846. What is the remainder when h is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66914, 134142, 201370?\nAnswer: 268598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:44 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 2. Let o be i(-3). Let v be o\/(-3) + (-8)\/(-3). Factor 0*z**v - 2\/7*z + 0 + 2\/7*z**5 + 4\/7*z**2 - 4\/7*z**4.\nAnswer: 2*z*(z - 1)**3*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131)\/(-1661735)*-59*(-10)\/4*2?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6924 and 87\/1621370?\nAnswer: 9728220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.29. What is f rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17109832, -17109829, -17109828, -17109829, -17109832, -17109837, -17109844?\n\"Answer: -a**2 + 6*a - 17109837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 5*z, -5*z - 27 + 0 = 4*c. Do -22\/3 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -69 - ((-5 - -8) + -2)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 5*x**2 + 2*x**2 + (-2*x + 2 - 2)*(-3 + 3 + 2*x) - 3 - 4*x**2 + 1 + x**2 - 5*x**2 + 24*x - 24*x.\nAnswer: -15*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -6 + 98\/3*w**6 + 100\/3*w**3 + 0*w**2 + 0*w - 84\/5*w**5 - 45*w**4. Suppose v(o) = 0. What is o?\nAnswer: -1, 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddffffdddffmffdfffd. What is prob of picking 2 f?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2. Let v(x) be the first derivative of -4*x**3\/3 - 156. Give j(v(d)).\nAnswer: 80*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 7. Let n = d - -74. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230112011 (base 4) to base 5\nAnswer: -21303022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -26082*u**3 + 2*u**2 + 10*u + 9. Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1183448 plus -18?\nAnswer: -29.1183448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 180\/7 + (-4)\/(-14). Let n(f) = f**2 + 14. Let z be n(-5). Suppose 0*t - 3*t + z = 0. Calculate the highest common divisor of c and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 12*v**2 - 10*v + 13. Let j be s(-11). Suppose -10 + j = 2*x. Put -1, x, 3, 4 in decreasing order.\nAnswer: 4, 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 + 2 - 1 + 4 + 265*k as c*k + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 754*u**2 - 6113*u + 141. Determine b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17\/z**(10\/13))\/((z\/z**(-33))\/z**(-29)) assuming z is positive.\nAnswer: z**(-608\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17488 + -17516. Let m(t) = -t**3 - 20*t**2 + 225*t + 27. Calculate m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13960067483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -865.678032 rounded to the nearest ten?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 27*c + 129. Calculate j(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 0 + 32 - 612\/102.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*o - 3*g, -23*g + 27*g = 6*o + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 642567029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 26 = -2*j + j, 5*j - 3*k = 74. Let t(p) = p**3 + p**2 + 4. Let i be ((0\/3)\/2)\/(-3). Let x be t(i). What is the highest common divisor of x and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10027 - 5?\nAnswer: -10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = -5. Let m be 5 - (-335)\/(-65) - 288\/832. What is the second biggest value in 5, m, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666627 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.09 + 0.09. Sort w, -2\/3, 5.\nAnswer: w, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4625198934 minus -0.5?\nAnswer: -4625198933.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 28*d**2 - 3*d - 1. Let n(c) = -55*c**2 + 5*c + 2. Let w(v) = -3*n(v) - 5*r(v). Determine w(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 6*y + 1. Let j be a(3). Let v(q) = 2*q**2 + 16*q + 3. Let i be v(-14). What is the highest common factor of i and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**3 - 12*l**2 - 1625*l - 12. Let i(x) = 9*x**3 - 26*x**2 - 3254*x - 26. Calculate -13*b(a) + 6*i(a).\nAnswer: 2*a**3 + 1601*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - k. Let i(q) = 11*q**2 - 27*q + 25. Let t(x) = -3*b(x) - i(x). Determine a so that t(a) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((30\/(-8))\/5). Is (-563)\/(((-12)\/v)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:40 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -15, -11 in increasing order.\nAnswer: -15, -11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/10 + 57*c**5\/10 + 58*c**4 + 237*c**3 + 837*c**2\/2 + 7884*c. Solve h(j) = 0.\nAnswer: -31, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 647, 5, 9, -3.\nAnswer: -3, 5, 9, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:48 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -124, -207, -306, -427, -576, -759?\n\"Answer: -z**3 + z**2 - 69*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 231057\nAnswer: 34\/231057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9320 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -921938*u - 1843890. What is o(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**3 - f**2 - 5*f - 1. What is the remainder when h(-2) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111732 + -79591. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1647863 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + 42\/18. Find the second derivative of -l + 2*k + 2 + 62*k**2 - 58*k**2 wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 27 + 17. Let j = q - -22. Suppose -5*r = -j - 14, 32 = 4*b + 4*r. Solve 5*i + 4*l = 24 + 11, -i = -b*l + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbib when four letters picked without replacement from {i: 2, p: 3, b: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766*s + 21 + 54 - 81 + 19.\nAnswer: 766*s + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + sqrt(11) + (sqrt(11) + (-2*sqrt(77))\/sqrt(7) - sqrt(11)))*-2.\nAnswer: -12 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -601, -595, -587, -577?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -3*f**4\/8 - 2*f**2. Let w = 687 + -693. What is the tens digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -10, -2.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333655 to the power of 1\/2, to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 22. Let s be u(6). Let h be s\/(-6) + 130\/30. Suppose 5*p - 1 = -g, 3*g + h*p - 8 - 6 = 0. What is the highest common factor of g and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -2.464?\nAnswer: -8.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ee - 17d5c?\nAnswer: -17c5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2486 (base 9) to base 13\nAnswer: b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f**2\/4 - 4947*f\/4 - 707\/2 = 0.\nAnswer: -2\/7, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - 25\/8)\/((-2)\/(-164)) and -67\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220212110111 (base 3) to base 15.\nAnswer: a697ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -54. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v - 4 = -137*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -94*p + 100*p. Let w be (29 - 0) + p + 7. Let y = -11 - -15. Solve 4 = -y*z + 5*o, -3*o = 3*z + o - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/3)*g**(-1\/3))\/(g**(-1\/2))**(-6))\/((g**0)**(5\/4)*(g\/(g*g*g**3))\/g*g**(-2\/19)*g) assuming g is positive.\nAnswer: g**(40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(431\/36 - 12).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 1 - 2*q + 4*q)*(-6*q + 4*q - 2*q + 3).\nAnswer: -20*q**2 + 11*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2958 + 2957.93465. Let g = -0.07 - c. Round g to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386 + -135. List the prime factors of l.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5811 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*(-50)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1719 and 54.\nAnswer: 10314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17358 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*c + 3*s - 9 = 379*c, 6 = -3*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 809944 or 809952?\nAnswer: 809952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -4. Let j(m) = 4*m**2 - 9*m - 3. Let v(t) = 3*t**2 - 8*t - 4. Let s(r) = -2*j(r) + 3*v(r). Let a be s(g). Is -0.1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 0, -1, 2\/5, 5, 1\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 761 = -3*v - k, 2*v - k - 504 = 0. Calculate the remainder when v is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155.00537 + -272.92394. Let j = f + 117.9. Round j to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -3, -2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**20)\/c**(-7) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*o + 60*o = -2*t - 23038, 11504 = 2*o + 4*t. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67728 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - o + 0*o)*(-97 - 42 + 5 - 13)*(2 - 1 + 11) to the form x + c*o and give c.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 2337.\nAnswer: 23370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.6469*3\nAnswer: -1.9407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*g + 26360 - 61381 = 84949. Let v = 6 - 10. What is the hundreds digit of (((-40)\/(-15))\/v)\/((-4)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-63))\/(1*(-10)\/(-35)). Factor 2\/3 - 1\/3*k**3 + 1\/3*k - m*k**2.\nAnswer: -(k - 1)*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454054?\nAnswer: 2, 227027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 11. Suppose o - 5*q - 8 = 0, 0 = 3*o - 3*q + u*q - 6. Suppose -4 = -o*x + 8. Solve n = -x*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 5*r, 7*r = 4*p + 10*r - 68. Find the second derivative of -p*b - 9*b - 10*b - 52*b**2 + 64*b wrt b.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 295373 + -295371. Determine v, given that 0*v + v**4 - 1\/3*v**5 + 4\/3 - 7\/3*v**p + 1\/3*v**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6021863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101\/130 - -11\/26. Suppose 0 = s - 4 - 0. Factor 2\/5*o**s - 6\/5*o**3 + 0 - 2\/5*o + u*o**2.\nAnswer: 2*o*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhxhhdhufehhfdexhe. What is prob of sequence xd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 17. What is the nearest to -1 in 1, -4, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -4, 10 in descending order.\nAnswer: 11, 10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 - 6*s + 6. Let w be o(7). Suppose 2*j + 3*q + 66 + 10 = 0, -j + 3*q = 56. Let c = w + j. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6300890 divided by 1260178.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.458 * 0.7.\nAnswer: 3.8206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5847, -5848, -5849, -5850?\nAnswer: -5851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 10*l\/11 - 72\/11.\nAnswer: 2*(l - 9)*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305862147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 56*t**2\/3 + 98*t\/3 + 52.\nAnswer: 2*(t - 26)*(t - 3)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 77\/33 - 2\/12*2. Solve -l = 2*l + p*z - 13, 4*l - 22 = 2*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5379 and 2608?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1304 times -1.195\nAnswer: -1558.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 + 1\/2*v**3 + 1\/60*v**5 + 24*v**2 - 2*v + 1\/6*v**4. Determine j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/(-4)*80\/(-96)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744 is divided by 197.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1609\/570 + -1\/95. Find the common denominator of h and -73\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 19 = -x - 15*w, -35 = 7*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760501 (base 8) to base 10.\nAnswer: 254273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*n - 16 = -j, 0 = -3*j + n - 19. Let o(p) = 7*p - 10. Let z(r) = -r. Let l(h) = -o(h) - 6*z(h). Does 16 divide l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.8 * -3081\nAnswer: -82570.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91308 and 726116?\nAnswer: 15248436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 - -9)*(-2)\/5. Find the third derivative of -144*u**2 + 7*u**4 + u**3 - u**3 + 139*u**a wrt u.\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 45*a - 45 - 279 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(17\/2)*j**(-35))**30 assuming j is positive.\nAnswer: j**(-795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2370 or -2571?\nAnswer: -2571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/22436 and 127\/474?\nAnswer: 67308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98236077808940 less than -6?\nAnswer: -98236077808946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 8*m + 8. Let y be v(-9). Let l be ((-14)\/(-18) + 0)*((-534)\/(-42) + -13). What is the second smallest value in y, l, -2\/121?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 17402 = 11486 + 23899. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/2*(-8)\/28. Let j = u + 3. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-4)*h)\/h))**31\/(h\/(h**(-5\/4)*h)*h*h*h**(-16)*h))**20 assuming h is positive.\nAnswer: h**3335","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1419 + -1419.3. Let x = -2\/29 - -39\/145. Let t be (-536)\/104 + 4\/26. Which is the fourth smallest value? (a) r (b) x (c) t (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*n + 2 = 0, 6*c - c + 5 = 5*n. Let d(i) = i - 5. Let u be d(0). Let s = u - -8. Solve s*g + c*r - 3 = 4*r, 5*r - 25 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263 (base 7) in base 11?\nAnswer: -976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(204)\/((sqrt(48)\/sqrt(4) + sqrt(12))*3).\nAnswer: sqrt(17)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -1 + (-7 - 0). Let d(p) = -8*p - 30. Let r be d(y). Calculate the greatest common factor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let h = 12.1 - 12.6. What is the closest to -2\/3 in n, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i + 39*i - 672. Solve 15*c - i*c + 9 = -3*v, -c + v = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 + -181. Suppose 0*x**3 - w*x - 2707*x**2 + x + x**3 + 2703*x**2 = 0. Calculate x.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3 = 2*v + m, -4*m = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 838488 divided by -372\nAnswer: -2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -291, 3 in increasing order.\nAnswer: -291, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100484230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, -3, 0.08, -33, -3\/35, 0.5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6338427 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -46*3\/(-6) - 3. Suppose -i = -4*f - 0. Let q(o) = o**2 - 5*o + 5. Give q(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -3*m. Suppose -4*r = -5*q + m*q + 305, r + 411 = 4*q. Let u = q + -73. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 15*o**2 - 23 - o**2 - 10 wrt o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3257306*n**3*w + 2*n**3 - 4*n**2*w - 2295*w - 12 wrt n.\nAnswer: -19543836*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -192, -424, -746?\n\"Answer: -45*i**2 - 7*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sff. Give prob of sequence fs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -1 - 178\/8. Let o = v + 20. Calculate the common denominator of o and -38\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221021011 (base 3) to base 14.\nAnswer: -dc57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1391, 2778, 4165, 5552?\n\"Answer: 1387*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571, 569, 565, 559, 551, 541?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 36. What is the remainder when (9\/(-5))\/(2\/(-30)) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1875 divide 218764654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(242) - sqrt(242).\nAnswer: 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23349, 23344, 23337, 23328, 23317, 23304, 23289?\nAnswer: 23272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 35 = 4*h - 3*h, 12 = -p - 4*h. Suppose 10*d + 16 = p*d. Is -17*4\/8*d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*f + 117, -4*f - 4*k + 36 + 56 = 0. Suppose 0 = -m - 40 - 19. Let w be m\/(-231) - f\/98. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 570423687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ocxvmkox?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**4 + 2*d**3 + d**2 - 2. Let w(x) = -25*x**4 + 13*x**3 + 7*x**2 - 13. Let g(t) = -39*l(t) + 6*w(t). Find the third derivative of g(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -26.\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 35*g**4\/12 + 89*g**3\/6 + 23*g**2\/2 + 146*g. Is x(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-24 + 24 + 6*k**3) + 4*k**3 + k - k + 219*k**2 + 9*k**3 - 219*k**2.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-342)\/19 + ((-6644)\/(-253) - 8)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + 1 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 12:47 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*d*h*i**3*o - 48*d*h*i**2 + 99*d*h*i*o - d*h + 4*d*i**3 - 18*h*i + 8*h*o - h wrt o.\nAnswer: 82*d*h*i**3 + 99*d*h*i + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -61, 2, 1, -1 in descending order.\nAnswer: 2, 1, -1, -22, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2. Let x(q) = -13*q**2 + 4*q. Let s(w) = 105*w**2 - 33*w. Let y(f) = -4*s(f) - 33*x(f). What is y(m(n))?\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 12. Let l = o + 6. What is the units digit of 30\/l*12\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 3. Let g(w) = 14*w - 8. Let h(i) = -4*g(i) - 11*m(i). Let x be h(-1). Find the first derivative of x*v**3 + 3 + v**3 - 5 wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + a + 1 + (0 - 31 - 29)*(a + 2*a - a) + 18*a + 10*a - 5*a)*(-1 + 1 - 2*a) in the form w*a + p + g*a**2 and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**27\/((((d\/(d*d\/(d\/(d\/(d*(d*((((d*d**(-2\/7))\/d)\/d*d)\/d)\/d)\/d)))))\/d)\/d)\/(d\/d**(4\/3)*d)) assuming d is positive.\nAnswer: d**(-151\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3687 - -3?\nAnswer: -3684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*k - 18, 2*k + 8 = -0*k - 3*l. Factor -2*r**2 + 5 - r**2 - 4 + k.\nAnswer: -3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/170 and -83\/80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3281, 2159, 1037, -85, -1207?\n\"Answer: -1122*t + 4403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 15 + (-16)\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50501 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471794.\nAnswer: 2, 419, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 24*f - 2*f + 1 - 47 - 5*f.\nAnswer: -f - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 7, i: 3}. Give prob of picking 1 i and 3 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 11 = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s**3 + 4*s**3)*(-703 - 232 - 442 + 963).\nAnswer: -828*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25684 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 363 = -3*v, 25*o = 3*v + 29*o - 387. Let f = 6106 - v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*i = -i - 16, -5*t + 2*i + 8 = 0. Solve 3*b + b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1, -9*n = -8*n - 5*a - 11. Suppose 697 + 1031 = n*d. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86d1 (base 14) to base 6.\nAnswer: 255531","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 234.791 - 0.05\nAnswer: 234.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 47.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 77.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + 38*r**4 + 80*r**3.\nAnswer: -r**3*(r - 40)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(9\/(-3)))\/((-2)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1860\/11, 0.1.\nAnswer: -1860\/11, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 1, b: 2, o: 2, h: 1, v: 1}. Give prob of sequence ov.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70625\/(-2))\/(3\/(-48)). Suppose -11*p - u = -6*p. Round p to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341 - -339.6. Let l = 1.4659 - 2.86678. Let d = z - l. Round d to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19651*g**2 + 10752*g**2 + 9725*g**2 + (-3*g + 5*g - g)*(-2*g + 4*g + 0*g) as v + q*g + o*g**2 and give o.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -22*z. Let p(w) = -1. Let i(f) = -f - 4. Let s(v) = -i(v) + 4*p(v). Let n(j) = 3*j. Let m(l) = -2*n(l) + 7*s(l). Give m(k(r)).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175118444 and 28.\nAnswer: 1225829108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -14. Suppose -87 - d = -3*a. Calculate the highest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 - c. Let m(h) = -6*h**3 - 2*h**2 - 6*h + 27. Let u(x) = m(x) - 4*y(x). What is the tens digit of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18419 + 28147. Is p a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 146. What is the least common multiple of 7 and 12\/(-20) + c\/(-35)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*r - z, 0*r + 2*r + 26 = -3*z. Let m = 53 + -92. Let h = r - m. What is the least common multiple of h and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 924 - 249. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + -12 - (7 + -13 + -4) - 10?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by -1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 13) + (-26 - -29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302230 (base 7) to base 2.\nAnswer: 1100100000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65 + (-44 - (-27 + -90))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 30*q. Suppose 24 = -4*k - q*k + 4*h, 0 = 4*k + 5*h - 12. Let t(x) = x**2 - 4*x - 4. What is t(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c + 8. Suppose -6*a + w = -5*a + 1, 3*a - w + 11 = 0. Let u(r) = 18*r - 7. Give a*g(n) - 6*u(n).\nAnswer: -13*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*t + 6 + 80, -5*h + 190 = t. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62796 divided by -13.\nAnswer: -62796\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 0.1 (c) -0.02 (d) 5 (e) 3\/5 (f) -50349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8. Let g = 0.12 - 0.216. Let c = 0.596 + g. What is the second smallest value in -10, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -33. Differentiate 25*r**3 + 4*r**y - 12*r**3 - 8*r**3 - 11 wrt r.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + 13*a - 1. Let i be h(3). Let k be (i - -1)*1*(-6)\/4. Suppose 0 = k*r - 3*r - 462. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:31 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 371*s**3 - 46125*s**2 + 1951641*s - 3721734.\nAnswer: -(s - 123)**3*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w - 4. Let z(m) = m - 5. Let x be z(7). Suppose 2*g + 4*k = 26, -4*g + x*k = -4 - 8. Suppose -6*n = -n + g*s - 30, 2*n = 4*s. What is p(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6588, 25707, 57562, 102153, 159480, 229543?\nAnswer: 312342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 27*m**2 + 7*m + 2. Let a be q(-5). Suppose a = -w + 266. Let t = 669 + w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(9 + (-297)\/55)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 - 3971*n**3 + 3970*n**3 + n**2 + 53*n - 52*n. Let t(j) = 39*j**3 - 33*j**2 - 33*j + 33. Calculate 132*g(h) + 4*t(h).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -240?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 421 + -425.99. Let u = l + -0.01. Put u, -4, -0.1 in decreasing order.\nAnswer: -0.1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/13 - 480*a**2\/13 + 954*a\/13 - 476\/13 = 0 for a.\nAnswer: 1, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*z**5 + 7*z**4 + 1534*z**2 - 289*z + 1313.\nAnswer: 3160*z**3 + 84*z**2 + 3068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 25. Let n be r(-18). What is the highest common factor of n and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-176)\/(-28) - (-2)\/(-7). Suppose -2*m = -r*m + 64. Let i = 23 - m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5.8 (b) 0.12 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n**2 - n + 191. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*3)**2*1 - -2*sqrt(252).\nAnswer: 12*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013031 to six decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 121 + 356*i**2.\nAnswer: 356*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 3*q**2 + 0*q**2)*(2*q**3 + q - q) - 215*q**3 + 563*q**3 + 22*q**3 - 10*q**5.\nAnswer: -24*q**5 + 370*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6 = -6*g + 9*g, -5*z + 4*g = -8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 54. Let k = 15 + -10. Suppose 0 = 5*z + q - 40, -z - 4*q + 2 = -k*q. What is the greatest common factor of w and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2) + 2 + -73. Let d be 70 + (4 - (7 + -8)). Let z = p + d. Are -6\/7 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-18)\/(-15) + -1). Let c = j + -4. Let l = 333 - 319. Calculate the remainder when l is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7372 divided by -109?\nAnswer: 7372\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390027331?\nAnswer: 167, 193, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 - 50.8. Let c = 227 + w. What is c rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**(-34)*p)\/p)\/p*p))\/(p**(-3\/19)\/p) assuming p is positive.\nAnswer: p**(687\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144679.4 micrometers in centimeters?\nAnswer: 14.46794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 44 = -2*x. Suppose -2*d - 64 = -5*b, -b + 8 = -d - d. Calculate the least common multiple of b and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {k: 1, t: 9, h: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1376*k**2 + 95*k - 1019. Is d(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (-24 - (-6 - 35)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 33 + 32 + (-2 + 0 + 0)*(1 + 0 - 2) - 2 + 3 + 25 - 5 - 1 + 2 + 0 + 3 - 2 + (2 + 3 - 3)*(-4 + 4 + 2))*(4*x - x - x).\nAnswer: 84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17750844 less than 2?\nAnswer: -17750842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.388796 days?\nAnswer: 33591974.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -49, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*p - 8, -m + 5*p - 1 + 25 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrqrhihqcrqrqr. Give prob of picking 1 c, 2 r, and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 853792.4l in millilitres?\nAnswer: 853792400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -40. Let w = l - 41. Solve -y - w = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-12))\/((-2)\/6). Let k(r) be the third derivative of -2*r**2 + 0*r - 4\/3*r**3 + 0 + 1\/3*r**p - 1\/30*r**5. Factor k(t).\nAnswer: -2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693 - -0.01.\nAnswer: 693.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2)*i)\/(i*i**0*i))\/(i\/i**7*i**(-2)))\/(((i*i**(1\/2))\/i)**(-2\/39)*i**(-1\/3)\/i**2) assuming i is positive.\nAnswer: i**(287\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5257 or 173432\/33?\nAnswer: 173432\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 24 + 12*u**2 + 17*u**2 - 13*u - 24*u**2 + 5*u. What is the units digit of d(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14448)\/32)\/(-43)*(-5)\/(15\/(-168)) is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 44*l**2 + 2*l + 2. Let q be c(-2). Let x = -116 + q. Let i = 107 - x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2. Let p(o) = 4*o**2 + 22*o. Give p(r(s)).\nAnswer: 36*s**4 - 66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 4. Let g(q) = -5*q**2 - 3. Let d(l) = -4*g(l) - 3*v(l). Let i(u) = -4*u**2. What is i(d(x))?\nAnswer: -100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + -9 + 572\/65. Let o be (3 - (-213)\/(-75))*-30. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 9*c - 9. Let k be w(11). Let p(b) = 3*b**2 - 4*b - 15. Let i be p(k). Suppose m - 134 = -u - 4*m, 4*u = 4*m + i. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -107. Let m(h) = -54*h + 183. Let p be m(y). Which is smaller: p or -248?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1246934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.143 and 0.524894.\nAnswer: 0.667894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2684\/12 + -7)*(-1 + 4). Let w = 101 - 60. Suppose w*b - k = 36*b. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 20. Let a(h) = 2*h - 26. Let s(g) = 3*a(g) - 4*u(g). Determine s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)**27\/(x**(2\/3)*x)**(1\/41) assuming x is positive.\nAnswer: x**(-5\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.175899 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - i = 8*f + 352, 4*i = 5*f + 367. Let c = 74 + f. Solve -4 = -c*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 302, 1134, 2494, 4382, 6798, 9742?\n\"Answer: 264*n**2 + 40*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-588)\/(-1029) + 116\/(-154).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14855 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*2)\/sqrt(4) + -2 - (-3 + (sqrt(187)*-2)\/sqrt(11)))*-1)**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 108577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 6*b)*(2*b**2 + b**2 - 2*b**2) + 800*b + 5*b**3 - 1069*b - 3*b**3.\nAnswer: 3*b**3 - 269*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 80. Suppose -f = -z - 9*z. Let m(h) = -h**2 + 7*h - 4. What is the least common multiple of m(6) and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:48 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfja when four letters picked without replacement from jjaafaaac?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2001461 - 1151?\nAnswer: -2002642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2120b + 3397?\nAnswer: 245a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 + (-51)\/(-15). Suppose -22 = -0*x - 2*x - 4*a, 0 = -5*x - u*a + 27. Factor 2*y**2 + 4*y - 3 + 2 + x.\nAnswer: 2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/((-80)\/(-320)). Let g(c) = 5*c + 13. What is g(u)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209227013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 60.983 take away 259.6739?\nAnswer: -198.6909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4 - 2. Let u = 6 + -2. Calculate the remainder when k is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 61. Let t be f(19). Let d = -94 + t. Let q = -0.03 + 4.03. What is the third biggest value in -4, d, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258956 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2051 + -2038. Solve 5*y - 30 = 4*b, 16 = -5*b + 2*y - h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*y - 31. Let a = y - -27. What are the prime factors of 1 - -49 - a\/(-8)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 7*w**2 - 2*w + 2. Let m(j) = -8*j**3 - 20*j**2 - 7*j + 7. Let f(v) = -7*h(v) + 2*m(v). Find the third derivative of f(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5952*p - 787490 + 156578 for p.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a factor of 2540155500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 24373?\nAnswer: 4\/24373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b98 + 1?\nAnswer: 7b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 + 106*r**2 + 13*r - 1 wrt r?\nAnswer: 12*r**2 + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32984594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 2*z + 0*z)*(7 + 5 - 10) to the form j*z + w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687, 1373, 2059, 2745, 3431, 4117?\nAnswer: 4803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 511*j - 77. What is the thousands digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/106 and -37\/30374.\nAnswer: 1609822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab8148 - 1?\nAnswer: 1ab8147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38280274 and 0.4.\nAnswer: -38280273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1583, -1565, -1525, -1457, -1355, -1213?\nAnswer: -1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let y be (0 - (-8 - -3))\/(-1). Let q = y - -16. What is the least common multiple of q and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**5 + 0*k**5 - 3*k**5 + 6*k**5 + 100*k**2 - 100*k**2 + (-3*k**4 + 4*k**4 - 2*k**4)*(2*k + k - 5*k).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let g(d) = -4*d + 1248. Give g(h(i)).\nAnswer: -4*i + 1248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**3 - 2*d - 2. Let a(h) be the first derivative of -385*h**4\/4 + 49*h**2\/2 + 49*h + 19. Calculate 2*a(s) + 49*j(s).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from ccmcciclmimuilmccl.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.4, 16, -0.3, 2.0929?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 5, -14*n + 16*n = 2*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 132*d**2 - 2 + 2 - 133*d**2)*(0 - 6 - 13).\nAnswer: 5035*d**2 + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/27)\/(13\/78)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229*g*l**2*n + 496*g*l**2 - 213742*g*n + 3*l*n - 2*n + 1 wrt l?\nAnswer: -458*g*l*n + 992*g*l + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-453 + 453 + 135*w)*(-80*w**2 + 40*w**2 + 37*w**2)*(1 - 1 + 2*w) to the form f + q*w**2 + n*w + h*w**4 + k*w**3 and give h.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(1900))**2.\nAnswer: -30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*p - 5*p - 4*s, 3*p - 9 = -2*s. Calculate the highest common divisor of 17 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14223 (base 7) in base 15?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 48 = -5*x, 3*y = -7*x + 8*x + 3. Let s(i) = -i**2 - 5*i. Let o be s(-4). Solve 4*j + x - 6 = -2*g, -o*g - 3*j - 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387730 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -860 divided by -6?\nAnswer: 430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r - 1263. Let f be g(36). What is the greatest common factor of 30 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -1159447.\nAnswer: -1159446.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 + 151 = -5*f. Suppose 0 = -5*i + f + 17. Calculate the highest common divisor of i and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkkk when four letters picked without replacement from kzkzzzzkzzz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z + 4*u - 38624, -3*u = -4*z + 30924. Find the common denominator of -37\/3 and (1 + 2)*(-296)\/z.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + s - 11 = 7*h, 15 = -3*h + 3*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -2.01. Let j = 234.16 - 233.96. Which is the closest to 2\/5? (a) -5 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7458 and 647082?\nAnswer: 804322926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163\/70 - -13\/5. Calculate the common denominator of q and (-94)\/36*6\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/447 and 94\/15?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 7, t: 7, i: 2, l: 3}. What is prob of sequence ib?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c5 (base 15) to base 13.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:36 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 7104948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 1507.672\nAnswer: -195.99736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 - -0.2. Let d = -6.8 - -4. Let c = 2.3 + d. Sort c, f, -0.4.\nAnswer: f, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -14793\/2893?\nAnswer: -14793\/2893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {o: 5, k: 1, i: 6, u: 2, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1010021201122002?\nAnswer: 1010021201122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 696829 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12.345*0.7\nAnswer: 8.6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) + (sqrt(504) + 1*sqrt(504) + sqrt(504) + sqrt(504) - sqrt(504)))\/(1*sqrt(847) + sqrt(847) + sqrt(847)).\nAnswer: 8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 1, i: 1, y: 3, b: 1, z: 5}. Give prob of picking 1 i, 1 b, 1 y, and 1 z.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/12894 and 145\/698118.\nAnswer: 4886826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 849*r - 852.\nAnswer: 3*(r - 284)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -173*b*l**2 + b*l - 800651*b - 4782*l**2 wrt l?\nAnswer: -346*b*l + b - 9564*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3) + 19 + 1. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.61?\nAnswer: -0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260 - -260.1. Let y = 14\/3 + -31\/6. Which is the smallest value? (a) 5 (b) t (c) y (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.3. Which is the closest to g? (a) 0.1 (b) -3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37\/1836 + 792671\/23868. Let u = a - 6785\/221. What is the common denominator of 35\/9 and u?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 9*w**2 - 9*w - 24. Let j be a(-10). Let c = 233 - j. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 17. Suppose 4*x + 0*x + 8 = 0. Calculate the least common multiple of 34\/4 + (-3)\/x and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1161*p - 606*p - 53010 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 78777 - 78777 - 4*t**2. Let x(d) = -3*d**2 - d**2 - 4*d**2 + 4*d**2 - 2*d**2. Calculate x(s(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -24*r**2 + 2*r - 7. Let n(w) = 70*w**2 - 6*w + 20. Let d(a) = -17*k(a) - 6*n(a). Give d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 21*k**2 + 64*k - 26. Let r(d) = 22*d**2 + 65*d - 29. Calculate 8*r(c) - 9*w(c).\nAnswer: -13*c**2 - 56*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1167 and 78.254.\nAnswer: -1088.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (133\/76 + (-33)\/12)*-52. What is the greatest common divisor of 3796 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {b: 1, j: 1, p: 1, r: 1, g: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 10*x**2 + 4*x + 47. Let y be g(-10). Solve -y = -4*q + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29797\/8 + -3725. Sort 1\/12, k, 0.4, 39.\nAnswer: k, 1\/12, 0.4, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 25)*(-2)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188.5699 rounded to the nearest 10?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*d + 791, 3*x + 577 = 3*d + 2*x. Suppose q - d = -4*z + 229, 2*q + 2*z - 870 = 0. What are the prime factors of q?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45321?\nAnswer: 3, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*q**3 + 2*h**3*q**2 + 1015*h**2*q**2 + h*q**5 wrt q.\nAnswer: -18*h**3 + 60*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53077 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.912 * -0.1\nAnswer: 0.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9144909*d - 19284338 wrt d?\nAnswer: -9144909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -4 + -2*sqrt(171) + (-1 + sqrt(171))*3 + sqrt(76)*-1 + 3 + -5.\nAnswer: -9 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 4*o + 70, -92 = -4*t + 4*o. Suppose -t = -8*j + 34. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 9403*x.\nAnswer: -x*(x + 9403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juubjjbujjbjucbbb. Give prob of picking 1 b and 1 j.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2)*(7 + 35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*b + 100 = -129*b. Let f be ((-75)\/b)\/(6\/16) + -4. Let s(c) = 7*c + 15. Let o(u) = 8*u + 16. Calculate f*o(k) - 7*s(k).\nAnswer: -k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -8*l - 17*l. Let c(n) = 19*n**2 + 13*n + 152. Let m(q) = 10*q**2 + 7*q + 77. Let g(r) = l*c(r) + 11*m(r). Find the first derivative of g(z) wrt z.\nAnswer: -8*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0 + 0*r**5 + 0*r**4 + 1\/6*r**3 + 0*r**2 - 1\/10*r**6 + 2*r. Find the second derivative of t(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 p when three letters picked without replacement from {a: 1, p: 4, e: 3, r: 8, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 4 - 6*t + 0 + 4*t. Let d(o) = 7*o + 9. Determine 4*d(x) + 9*p(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.594169 micrometers?\nAnswer: 0.000001594169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 100. Let z = 11 + -4. Suppose 0 = 3*s - 4*s + z. Calculate the least common multiple of t and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 3*x + 4*x. Let i(b) be the second derivative of 1\/6*b**4 + 0*b**2 + 0 + 0*b**3 - b. What is h(i(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 4*l**2 + 1140. Let d(r) = -103*r**2. Calculate d(z(x)).\nAnswer: -6592*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from {w: 7, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*u - h - 7, -4*u = -5*h - 3. Let g = -5 + 4.7. Put -2, 0.4, g, u in decreasing order.\nAnswer: u, 0.4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152 + 4140?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 3*v + 0*v)*(0*v + 51*v**3 - 94*v**3 - 2*v) as m*v**2 + u*v + w + p*v**3 + i*v**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 16. Let h be (110\/x)\/(-5) + 0. Is -0.1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Let x be (-2)\/b + 26\/3. Let h(y) = -y**2 + 9*y - 4. Let v be h(x). Let w(i) = i**3 - 5*i**2 + 4*i + 2. Determine w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3013, -12064, -27061, -47998, -74869, -107668, -146389, -191026?\nAnswer: -241573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-8))\/(3 + 196\/(-64)). Suppose 3*z + 7928 = -31*u + 35*u, 5*z + i = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5895 is divided by 502?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 6*i - 5*x = 5, -4*x = i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 118 - 32\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 349d79?\nAnswer: 349d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -472\/9 - -34474\/657. Put i, 1\/88, 0, 4 in ascending order.\nAnswer: 0, 1\/88, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = 19*y + 2165. Find the common denominator of (1\/(-25))\/(4\/(-710)) and (-1606)\/y + -2*(-5)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178660 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 4*l = -0*l + 4. Differentiate -l + 2*n - n + f with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 64. Let h be 80\/(-48)*(-3)\/(-15). Put 5, h, b, 14 in ascending order.\nAnswer: h, b, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -293, -1, -2 in decreasing order.\nAnswer: 6, -1, -2, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and 10984325.461.\nAnswer: 10984307.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.249 + 7.751. Which is the smallest value? (a) p (b) 7 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212127322*z**4 - 335*z**2 + 47728*z - 2?\nAnswer: 5091055728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 2*m. Calculate the smallest common multiple of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16078536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12338744375536 and 0.3.\nAnswer: 12338744375536.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.056 + -1.056. Let t = -0.4 + -0.2. Which is the closest to 0? (a) t (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -82.99999755. What is b rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 12*u - 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*x + 79*x + 72080. Calculate the greatest common factor of x and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -116*5\/(-19 + -1). Let m = d - 25. Solve 2*w = m*u - 8, -4*w = 2*u - 0 + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 1243*a**2 - 78189*a + 225. Determine q(60).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*3\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*k**3 - 194*k**2 + 672*k**3 + 194*k**2.\nAnswer: 721*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -354 + 361 + 1 + 45\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/28 - (-9)\/12)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 4 = -3 - 85 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(sqrt(21)\/(sqrt(70)\/(5*sqrt(10)) - sqrt(7)) + (sqrt(3) + (sqrt(48) - (0 + sqrt(48))) - (sqrt(9)*-1 - sqrt(9))\/sqrt(3))))**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyy when three letters picked without replacement from {i: 2, s: 2, x: 8, y: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u - 3*u**3)*(2*u + 5*u + 6*u) + 2*u**4 + 2*u**4 - u**4.\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t - 25. Let d be b(-11). Let s(p) = d + p - 1038*p**3 - 6 - p**2 - 328962*p**3. Let g be s(-1). Round g to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(3)*-5 + (3*sqrt(90))\/sqrt(10))\/((-3*2*sqrt(36))\/sqrt(3)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-10) + 2\/5. Suppose -i - b*d + 128 = 0, -2*i + 220 = -d - 25. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*f**4\/5 + 2*f**3 - 462*f**2\/5 - 1012*f\/5 - 224\/5 = 0. What is f?\nAnswer: -7, -2, -1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26168 - 26102. Let j be (-2)\/(-4) + 22\/4. What is the greatest common divisor of j and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6 - 7 - 11 - x + 3. Suppose 5*h + 65 = 2*y, -2*y + 4*y = 0. Let o be z(h). Solve -m = -o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-16)\/336)\/(3*(-2)\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 - 23*w + 22. Let j be f(6). Let h be j\/(-266) + (-342)\/(-14). Solve -6*v = -v + h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -5\/2, 61, -0.118, 3, -3, -1\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/6)\/(2\/(-16)). Let g = 428\/3 - 142. What is the closest to 1\/3 in g, m, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, -379, -1353, -2851, -4873, -7419, -10489?\nAnswer: -14083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 1109, 1102, 1095, 1088?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 2, t: 1, e: 6}. What is prob of sequence et?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (74\/814)\/(2\/66) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 17 = 2*m, -3*n - 46 = -0*m + 3*m - 7*n for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let t = 3.17 + 5.77. Let y = -9 + t. Sort 2, n, y.\nAnswer: y, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-1)\/(-6)). Let q be 127*(-2 - g)\/(-1). Let p = -43 - q. Calculate the greatest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = -3*s - 16, -2*g = 5*s + 34. Let u be 7*(12\/(-77))\/s. Let i = -7 - -3. Put i, 2, u in descending order.\nAnswer: 2, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*o + 541, -o + 5 - 106 = -4*b. Put o, 4, -1 in descending order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/6)\/(73 - 22672\/312)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 389493 = -2*l, -14*m - 311598 = -18*m - 2*l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 10. Let b(p) = -p**2 - 16*p - 15. Let l = 9 - 24. Let a be b(l). Let t be 1*a\/(-5 + 1). Calculate x(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - 100111011101000010100001?\nAnswer: -100111011101000010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 116789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 4 + 2*i - 5*i**2 + 4*i**2. Let r(h) = -h**2 - 4*h + 4. Let d be r(-3). Let g be x(d). Are 2\/9 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 26*a - 85. Let l be q(-3). Solve -7*c + l + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 323653532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 2*a - 2. Let o(j) = -16*j**2 + 7*j - 9. Let b(i) = -2*o(i) + 9*z(i). Let m be 8\/44 - 24\/11. Let k(w) = -w**2 + w. What is m*k(v) + b(v)?\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v**2 - 115*v + 7. Does 20 divide r(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*w - 5508000 = -112*w. Round w to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzjqzjzzqzjjqjzjj. Give prob of picking 1 q and 2 z.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-96509)\/3244)\/((-35)\/(-40))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*(-3*(sqrt(98) - (sqrt(98) + 1 + sqrt(98) - sqrt(98))*5)*-4 + 5))**2 + 4).\nAnswer: -41187080 - 6652800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 15*s**2 + 2*s + 83. Let u(t) = -5*t**3 + 35*t**2 - 4*t - 167. Determine -9*r(l) - 4*u(l).\nAnswer: 2*l**3 - 5*l**2 - 2*l - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/(-8))\/(5\/(-120)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*n - 6, 2*a - 7 + 31 = -9*n for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 414273*c. Let l(w) = w - 12. Calculate l(b(s)).\nAnswer: 414273*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*b - 244 = -43*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.017201567.\nAnswer: -0.017201567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 3?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95513209?\nAnswer: 11, 19, 457001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Let u = 111 - 84. Let x = u - 25. Solve 6 = 3*j + x*f + f, -h = -5*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 2 + 0*d**2 + 1 + 6*d**2 - d**3 - 16*d**2 + 5*d**2 + d**4 to y*d**4 + t*d + o*d**3 + g + l*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -75730 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let i(a) = -1537*a. What is 4*i(y) + 1276*o(y)?\nAnswer: 232*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -61. Let i = b - -31. Solve u - 3 = i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 11805 in ascending order.\nAnswer: -4, 0, 11805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 14*g - 91. Let q be r(-18). Let o = q + -301. Solve o = 3*n + 2*i, 21 = 3*n + 5*i + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 24 + 13)*(-2 - 1 + 4)*(3 + 1 + 2*d - 3).\nAnswer: 8*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**6\/144 + q**4\/6 + q**2 + 3*q + 10. Let p(s) be the third derivative of z(s). Let m(k) = 7*k**2. Calculate m(p(n)).\nAnswer: 175*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1347 + 0.1347. Which is the closest to -1? (a) -4 (b) 2\/27 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -451\/357 - 222661\/3570. Let k = o + 64. Find the common denominator of k and 121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (207 + -190 - (-2 - -1))) + 139 + -8?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 7*r + r**3 - 4*r**3.\nAnswer: 2*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103222 (base 4) to base 3.\nAnswer: -1201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d + 2. Let c be h(-5). Let l = -82 + 88. Calculate the greatest common divisor of l and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9368)\/(-14052))\/(5*(-2)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 36. Let v(u) = -3*u - 15. Let h(m) = -2*f(m) - 5*v(m). Determine h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77.03 - -0.03. Is z at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 1 + 44 + l**2 in the form h*l + n*l**2 + g and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 14115.9 (c) -2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615578.\nAnswer: 2, 347, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + 918*w**2 + 837*w - 23743. Determine b(-305).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45 - (3*-3)\/(-3). Let o be j\/6 + 0\/(-1). Suppose -21 = -2*k + 21. What is the greatest common divisor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4 + 95698*o**3 - 1142607158*o**2 - 51611292810*o = 0.\nAnswer: -45, 0, 23947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122\/9? (a) -9 (b) -1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5476 (base 12) to base 14.\nAnswer: -356a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*k + 30 = 0, 2*k + k = 5*w + 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2725 and -52\/5527935.\nAnswer: 27639675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u - 1. Let z(y) = -37*y - 6. Give -11*v(w) + 2*z(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 - (-6 - (-3 + 0))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98121017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v. Let m(q) = -42895*q**2 - 364. Calculate m(x(c)).\nAnswer: -386055*c**2 - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 + 0.02. Let a = -1.2 + p. Let d = a + 1.00005. Round d to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14\/5 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-10) - -25*1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5 + 2064797*l**3 - 11967008*l wrt l?\nAnswer: -20*l**3 + 12388782*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17472 and 43680.\nAnswer: 87360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1044, 2\/7, -3\/8?\nAnswer: 1044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-14) - 0)\/(93\/651). Solve -4*i = -31 + 23, -3*r + 22 = n*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aukj when four letters picked without replacement from {j: 2, u: 1, d: 1, k: 1, a: 3, y: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254114415 + 0.4.\nAnswer: 254114415.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x, 3*s - 6*s + 45 = 5*x. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341782*-1.1\nAnswer: 375960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113199249*z**3 + 104927531 wrt z?\nAnswer: -339597747*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 5\/((-5)\/(-4)). Suppose j*f = -3 - 13. Let q = -15 + 11. Is q >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**3*u**3 - 24*d**3*u + d**2*u**2 - u**5 wrt u.\nAnswer: 60*d**3 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.88 and -285296739?\nAnswer: 285296746.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 1048*q**3 + 30*q**2 + 142 - 29*q**2.\nAnswer: 1048*q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 7*h + 101 - 722 - 328.\nAnswer: 7*h - 914","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37379153 and 18.\nAnswer: 672824754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108077*o + 107592*o - 24250 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2 - 5*m - 3. Let n be a(-4). Suppose -2*d + 6 = d. Is d at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let g = -7 - -15. Suppose -3*x = -g + 2. Suppose -q = -0*k - k + 1, -x*q = 3*k + 12. Determine f(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14781946*f**3 + 782*f**2 - 808 wrt f?\nAnswer: 88691676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.4599m to centimeters.\nAnswer: 23145.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 31*a**5\/12 + 167*a**4\/24 + 32*a**2. What is the second derivative of w(d) wrt d?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaautuaaofoaaawut. Give prob of sequence uta.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5799955151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16958.27 times 1.9?\nAnswer: -32220.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 83.48817?\nAnswer: 46.48817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 683107 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 110055 (base 9) to base 10\nAnswer: 65660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*i - 99*i. Which is smaller: i or 12\/175?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21 = -5*a, 2*a + 3*a - 3 = 4*m. Suppose -5*o - v = -16, -o - 5 = 3*v + m. Solve -2*l + o = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbtde. What is prob of sequence etbd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 198 (c) -0.1789 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4099*r - 24071. Calculate s(-6).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21836264 + -0.4?\nAnswer: 21836263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = 4*j, 2*j + 3*q + 7 = 4. Let x be (6\/(-2))\/(j\/4). Let w(u) = -u**3 - 11*u**2 - 12*u + 4. Let r be w(-10). Solve r = -x*k + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146050 to the nearest one thousand.\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 983 and 61.\nAnswer: 59963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3428333\/2179616 + 2\/204339. Find the common denominator of 71\/20 and n.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/17 - (-116)\/(-3451)*-91?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*24\/(-18)*(-3)\/2. What is the highest common divisor of 57 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 2 = 4*x - z, -3*x - 11 = -z. Let u = 8942 + -8937. What is the closest to u in x, 3, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2276.8 - 2277. What is the second biggest value in -1\/4, b, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1854 and 163\/3090.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**(-8\/3)\/(k**21)**(-15) assuming k is positive.\nAnswer: k**(1009\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose -3*m - 2 = -4*b, -3*m - 4 = -2*m - z*b. Let i(q) = -q + 8. What is the lowest common multiple of i(6) and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (1 + 4))*(-6 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49349635 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, g: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 + -4. Let t = -224\/39 - -1633\/780. Let g = t - -13\/4. What is the closest to s in -2, g, -5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -796439 or -796429?\nAnswer: -796439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13430283?\nAnswer: 3, 19, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-26) + (-1173)\/(-78) - 10\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*m**3 + 60*m**3 - 33*m**3 + 11*m**5 + 2*m**5 - 3*m**5 + 2*m**5 + (5*m**3 - m**3 - 2*m**3)*(2*m**2 - 2*m**2 - 3*m**2).\nAnswer: 6*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g**4 - 11*g**3 + 457*g**2 wrt g.\nAnswer: -264*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.102 - 0.102. Let z = 1.3 + -0.3. Which is the closest to z? (a) 3\/5 (b) p (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382105833?\nAnswer: 3, 127368611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -20*c + 39. Suppose -2*i - i - 4*f = -16, -3*i = 3*f - 18. Let l be 2\/i - (-300)\/(-48). Is y(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16387187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-24) - 20\/(-30)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238956098.\nAnswer: 2, 3, 6529, 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwttwtwttwww. Give prob of picking 2 w and 1 t.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -2640351943524?\nAnswer: 2640351943524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66583 is divided by 262.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 48866*j - 123740036\/9.\nAnswer: 2*(j - 220178)*(j + 281)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-434)\/70)*(-4175)\/668\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.769183577 rounded to two dps?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*t = 6, 3 = -4*y + 2*t + 9. Is y != -1\/2506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 37. Let v be -3 - 13\/(-4) - s\/2. Let m = v + 5\/12. Is 0 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + -132. Which is greater: q or -3.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3175 - -1.5175. Which is the nearest to t? (a) 1 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 49916\nAnswer: 249580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1175095\nAnswer: 352528.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1530*s + 6456*s + 3103*s + 3626*s)*(-2 + 0 + 3)*(-2 - 2 + 5).\nAnswer: 11655*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2)*p)**(2\/5)*(((p*p**(-1))\/p)\/p)**(-49) assuming p is positive.\nAnswer: p**(493\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11 and 30543?\nAnswer: 30543.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -307*n**3 - 20*n**2 + n - 3738. Let q(h) = 3*h**3 - 5*h**2 - 2*h. Let f(s) = -4*q(s) + z(s). What is the derivative of f(v) wrt v?\nAnswer: -957*v**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/2 - 1194*g**3 + 723465*g**2 - 12691350*g + 63190125\/2 = 0. What is g?\nAnswer: 3, 15, 1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146166835.\nAnswer: 5, 11, 20839397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2646476 by -661619.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -55, 0, -139?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h - 4*h + 4 + 3*h - h**2. Let u be -3 + (-3 - -14 - 4). What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**3 - 2*n**2 + 16*n + 32. Let r(d) = -8*d**3 + 2*d**2 - 20*d - 34. Determine -5*m(k) - 4*r(k).\nAnswer: 2*k**3 + 2*k**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o - 864 = 15*o. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1 - -6) + 2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(441) - (sqrt(441) + (sqrt(441) + (sqrt(441)*-2 - sqrt(441)) - sqrt(441))))*6)\/sqrt(9))\/(((sqrt(196) + sqrt(49))*3)\/sqrt(7)) + -4 + 3)**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 2. Let u be ((-6)\/(-4))\/(o\/4). Suppose 0 = -2*y - u*y + 45. Calculate the lowest common multiple of 2 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1993278971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 minus -682949311956?\nAnswer: 682949311955.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21022*q**2 - 24*q - 46.\nAnswer: -42044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.017\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 185272 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(9\/15 - 1). Suppose -m*n - 3 + 15 = 0. Suppose -5*c + r + 28 = -63, 0 = -n*c - 5*r + 49. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/223538084 and -85\/146992.\nAnswer: 894152336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1.7, -1\/6, 0, 2\/11?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 55.6, -1.49, -20?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71734195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 30. Suppose -480*m = -476*m - 32. Give s(m).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3) + (10\/(-15))\/2. Let c(x) = 7*x**2 + 2*x - s - 10*x + 7*x - 2*x**2. Suppose 3 = q + 4. Give c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, a: 13}. Give prob of sequence ii.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/6)*l)\/l*l)**36)**(-50) assuming l is positive.\nAnswer: l**(-3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (825\/(-30))\/(-6*6\/4*82\/492)?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*k - 2 = 7*c, -c - k + 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -193, -198, -203, -208, -213?\n\"Answer: -5*r - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992 and 1240.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 17 = -p - 31, 0 = -5*v - 4*p + 70. Solve 12*k - 26*k - v = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:22 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1334234 and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234428 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Is 22 + 0 - (f - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45872*i**2 + 91782*i**2 - 45917*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 33, 6, 3, 3\/2, 2.\nAnswer: -0.29, 3\/2, 2, 3, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -3\/2*t**2 + 1\/6*t**3 - 4*t + 0. What is c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elv when three letters picked without replacement from {l: 1, h: 1, k: 1, e: 1, v: 1, q: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**7\/980 - p**6\/630 + p**5\/140 + p**4\/42 - p**3 + 6*p**2. Let c(u) be the first derivative of h(u). What is t in c(t) = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*a - 6 = 0, 5*a + 3 = -3*l - 12. Suppose 2*j + 4 - 6 = l. Let p(r) = -7*r**3 + 2*r**2 - 2*r + 1. Calculate p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-732)\/(-9)*((-18)\/12 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/6 + 2*h**2 + 5*h + 4. Determine i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 6*c = -245. Let a be 196\/c - (-14)\/(-20)*4. Sort -3, -1\/9, a in descending order.\nAnswer: -1\/9, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 6324\/(-340))*(-44)\/21 + -3\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 3. Let b be l(-9). Let x be 1\/((-2)\/(b\/(-3))). Suppose 4*v + x*r + 2 = 0, -4*v + 6 = -r - 7. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -803, -1512, -2721, -4430, -6639, -9348?\n\"Answer: -250*f**2 + 41*f - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**8\/448 + r**7\/70 + r**6\/32 + r**5\/40 + 48*r**2 - 79*r. Let c(j) be the first derivative of a(j). Factor c(w).\nAnswer: 3*w**2*(w + 1)**2*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13267 + -13266.9. Which is the nearest to l? (a) -16 (b) -8 (c) 4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 1775 + 350. Factor -16*b**2 - g + 2*b + 26*b**2 + 23*b.\nAnswer: 5*(b + 5)*(2*b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 - r + 1. Let d be k(-2). Suppose 0 = h, -h = 4*z - d - 1. Let l be 5 + ((11 - 3)\/2)\/z. Solve -4*s = 16, -5*w - l*s + 3*s - 36 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 30 + 5 = 0. Let z be (-4)\/n*(-3)\/6. Let m = -6 - -9. Which is the second smallest value? (a) m (b) z (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let s(o) = -3*o - 6. Let f(g) = s(g) - 6*w(g). Let p be 21\/(-63)*(21 + 0 + 0). Is f(p) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66, -131, -222, -351, -530, -771, -1086, -1487?\n\"Answer: -2*c**3 - c**2 - 48*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**3 + 7*k**2 - 8*k. Let h(g) = -g + 2*g**2 - g**3 + 0*g**2 - g**2. Let y = -6 - 8. Let f = y - -20. Calculate f*h(s) - o(s).\nAnswer: 2*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:27 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 15*u**4 - 30*u + 25*u + (5*u - 4*u - 3*u)*(-u + u - u**3).\nAnswer: -13*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04111 + 0.54111. Let v = 5\/11 + -58\/55. What is the nearest to 0 in v, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61416600 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 48, 85, 122, 159?\n\"Answer: 37*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.293 and 1?\nAnswer: -0.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c*c*c**(4\/9))\/(c**(-7)*c\/(c\/(c\/c**1))))**(-36) assuming c is positive.\nAnswer: c**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124.5 - 124. Which is the second biggest value? (a) 0.3 (b) i (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, m: 1, v: 1, z: 2, k: 2}. Give prob of sequence zv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4616, 5\/2, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 60*b**2 - 3*b + 2. What are the prime factors of r(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*c - 3545, -12*c = 2*q - 17*c + 1765. Let d = q + 1594. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5186604 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 5*x**2 + 2. Let n be h(-5). Suppose n*o = -6, 0*o = -u - 4*o + 6. Let c = 25 - u. Solve -p + i + 11 = -2*i, -p + 2*i + c = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 4, -35, -3, 0.5, -17 in decreasing order.\nAnswer: 4, 0.5, -0.05, -3, -17, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70384.167ns in days?\nAnswer: 0.0000000008146315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 - 3555*g\/2.\nAnswer: 3*g*(g - 1185)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12504579 is divided by 1453?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 526155292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -7, -4 in descending order.\nAnswer: 16, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v + 2*v + 2*v**2 - 431 + 433. Give l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1461*d = 1449*d + 552. Calculate the remainder when 551 is divided by d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:14 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3220\/(-200) - (1 - 17). What is the third biggest value in -1\/2, -2\/17, y, 0.3, -1\/27?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4558.1911 minus 5?\nAnswer: -4563.1911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let p(x) = x**2 + 2*x - 9. Calculate the lowest common multiple of f and p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 - 5*g**3\/4 - g**2\/2 + 2*g.\nAnswer: -g*(g - 1)*(g + 2)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*t + 78*t + 21. Which is the closest to -18? (a) -5 (b) t (c) 0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -289 bigger than -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvjyvyv. Give prob of picking 1 y and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(0 - 1 + 0)*(2*d - 2*d + d**2).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2528 = -2642. Solve -75 = i*g - 99*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(64))\/(1*sqrt(108)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - w - 32, 0 = 3*p + 2*p + 4*w + 58. Let b = -1 - p. Let i = b - -3. 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: Suppose -2*x + 2 = 6, 0 = k + 2*x - 324. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 73276030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3146 and 43\/7865.\nAnswer: 15730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2689, 5300, 7911, 10522?\n\"Answer: 2611*s + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9500 and -1552.\nAnswer: -14744000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1688741 + -6?\nAnswer: 1688736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 3\/2, 26, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/14)\/(8*(-9)\/378).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 147. Let b = p + 46. Let t = b - -45. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137.099998677 - 137.1. Round j to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 9886656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -2 (c) 0.3 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2138751740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/17))\/c)**(-2\/25)*((c**(-5)\/c)\/c)**(-9\/4) assuming c is positive.\nAnswer: c**(26791\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81402587 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 0*l**2 - 2*l**2 + l**3 to the form a*l + t + d*l**2 + k*l**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k**3 + 5*k - 6. Let v(g) = -13*g**3 - 6*g + 8. Determine -6*h(w) - 5*v(w).\nAnswer: -7*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*p**3 + 66*p**3 + p**2 - 82*p**2 wrt p?\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - 0) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-6)\/(-84)*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/((-24)\/176)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22037 * 0.0502.\nAnswer: -1106.2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15706 is divided by 1109.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -689253, -689262, -689283, -689322, -689385?\n\"Answer: -p**3 - 2*p - 689250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4770 by -21.\nAnswer: -1590\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 28*j**2 - 219*j - 305. Is p(-20) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 17) + (-1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-424)\/236)\/((-288)\/8496).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.05 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*a - 281 - 6*a + 282)*(0*a - 2*a + a) to the form p*a**2 + l + i*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 9. What is v(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 1 - (0 - 4086\/(-4340)). Let t = 2\/155 + w. Find the common denominator of -39\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(r + r - 3*r) + 26 - 3*r - 26)*(4*r**2 + 0*r**2 - 3*r**2).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**32\/(h*h\/(h**(-4)\/h)))**(2\/19) assuming h is positive.\nAnswer: h**(50\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u**5 - 270*u**4 + 165*u**3 + 70*u**2 = 0. What is u?\nAnswer: -2\/7, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158267 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1671665, 1, 4 in decreasing order.\nAnswer: 1671665, 4, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7184 is divided by 5004?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6496 divided by 29?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880 - 749 + 279 = 90*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 2\/3, 1\/7, 0.52683, -15\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-4\/9)*s**(1\/5)*s**(-1) assuming s is positive.\nAnswer: s**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*x**3 - 228*x**3 - 94*x**3.\nAnswer: -403*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307976299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is bd (base 15) in base 3?\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -1. Let g = 0.4 + k. Let o = 6 - 2. Which is the smallest value? (a) -1\/3 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 0.277005117216?\nAnswer: -0.077005117216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3334053, 6668186, 10002345, 13336542, 16670789, 20005098?\nAnswer: 23339481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*((-1 - 4 + 3)*(-1 - 2*l + 1) - 3 - l + 3 + l + l - l - 3 - l + 3 - 2 - 2*l + 2 + (-2 + 0 + 1)*(-4*l + 25 - 25)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 at most 1455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(1\/15)))\/(p\/(p*p**(-33)))*((p\/p**(-50))\/p*p)\/p**(-2\/151) assuming p is positive.\nAnswer: p**(42914\/2265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 77022332.\nAnswer: 7702233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**7\/70 + 3*g**5\/25 + g**4\/10 - 3*g**3\/10 - 3*g**2\/5 + 56*g. Solve u(r) = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 3. Let t(r) = -r - 1. Suppose 4*h - 5*l + 3*l = 0, l - 2 = 0. Let n(z) = h*o(z) - 4*t(z). Differentiate n(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 3*m - 39, m - 23 = -2*d. Suppose 2*y + y = p - 8, -2*y - d = -4*p. Suppose -p*h = -145 - 219. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k - 1. Suppose 0 = 4*s + 6 - 18. Let b be j(s). Let y be (3 - 0)\/(6\/b). Solve 4*c + y = -7, -5*a = -4*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -1775\/87?\nAnswer: -1775\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*w + 116056 + 278*w - 554*w.\nAnswer: -w + 116056","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25646 - 24?\nAnswer: -26003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-4)\/(-2))\/(20\/(-25)))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6994 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/148*4\/(-18) + (-94)\/(-198).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 231*z + 1. Let v(p) = -3598*p + 1. Give v(j(w)).\nAnswer: 7196*w**2 + 831138*w - 3597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*b - 4*a, 3*b - 2*a + 5*a = -0*b + 7*a - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*x, -3*x = -5*v + 178 + 196. What is the remainder when v is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10)*-5 + (-25178)\/12. Let i = g - -2077. What is the common denominator of 37\/8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5848380 less than -534?\nAnswer: 5847846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -78.7+-0.2118\nAnswer: -78.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141097951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:16 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 1. Let h(c) = -7*c**3 + 2*c**2 + 1. What is -h(j) - 6*z(j)?\nAnswer: j**3 - 2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 43799 - 144671. List the prime factors of y.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 873 - 125 = 0. Suppose -56 = -0*s - 4*s. Calculate the remainder when b is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168304, 336538, 504770, 673000, 841228, 1009454?\nAnswer: 1177678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 50.77. Let h = 0.23115 - o. What is h rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 3*n - 3*n + (-2*n + 1 - 1)*(-n**2 + 0*n**2 - n**2) - n**3 - 3 + 3 + 6*n**3 - n**3 - 4*n**3 + (-9*n + 9*n - 11*n**2)*(-4*n + n + 4*n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*p - 164*p = -2*a + 8, a + 2*p = 4. Solve -j - 2*f = -a, 3*f - 5 + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Suppose -5*y + 3615 - 635 = w, 2955 = 5*y - 4*w. Suppose c*r = 5*r - y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -1.4. Let a = -32 + 33. Let h = a - p. Which is smaller: 4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63330 divided by 30\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 5*y = 22*m, 4*m + 7 = 3*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93629\/4 + 3370789\/144. Calculate the common denominator of -42\/85 and a.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 59 + -12 - (1 + -5). Let u(w) = -w**2 + 2*w - 2. Let x(o) = -8*o**2 + 17*o - 17. Give a*u(l) - 6*x(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 2209, -14, -5, -0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073650826 plus 0.3?\nAnswer: 0.226349174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 5*t**2 - 6*t - 1. Let j(d) = -d**3 - 4*d**2 - 6*d - 2. Let c(i) = -3*h(i) + 2*j(i). Let v = -9 + 4. List the prime factors of c(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136 - 11*v**3 + 698 + 70*v**2 - 32*v**3 + 4*v + 64 wrt v?\nAnswer: -258*v + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/11, -2\/7, 1\/6, 2\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 202*z**2 - 2159*z - 8266. Determine v(-212).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16659076 is divided by 4643?\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + l - 15 = -s, 4*l - s = -19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -140*r**3 + 4*r**2 - 10*r + 189. Is q(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 31*x - 32*x = -223, v - 5*x = -89. What is v rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -1 - 5*g**2 + 1 + 1 + 4*g**2. Let d(n) = n. Calculate w(d(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24280\/2 + (-3 - (3 + -8)). Suppose -22*n + q = -9*n. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33725, 33735, 33717, 33665, 33573, 33435, 33245?\n\"Answer: -c**3 - 8*c**2 + 41*c + 33693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8227993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 - -10020010211?\nAnswer: 10020022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + d)*(57*d + 49*d - 18*d)*(7*d - 2*d - 3*d).\nAnswer: 176*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -259*b**5 - 5*b**4 + 365*b + 5. Let y(g) = -129*g**5 - 2*g**4 + 182*g + 2. Let v(k) = -2*x(k) + 5*y(k). Find the second derivative of v(w) wrt w.\nAnswer: -2540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85362208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111245, -445136, -1001619, -1780694, -2782361, -4006620?\nAnswer: -5453471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 2:14 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 29340022.\nAnswer: 205380154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -1. What is the units digit of 54\/o - 6\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x + 3*x - 2*x)*(-x + 3*x + x + (2 - 4 + 0)*(-2*x + 4*x + 0*x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39784 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 17371667?\nAnswer: -17371670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 q when three letters picked without replacement from {i: 1, q: 6, s: 3, t: 1, g: 3}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45500?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-15) - 4389\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/360 - i**5\/20 + 23*i**4\/12 - 16*i**2. Let b(r) be the second derivative of g(r). Calculate b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 48*q**3\/17 - 1015*q**2\/17 + 444*q\/17 - 1379. What is j in k(j) = 0?\nAnswer: 2\/9, 111\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76.1 + 77. Let s = -1.6 + 1. Let l = r + s. Which is the biggest value? (a) 2\/3 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -418124, -418012, -417900, -417788, -417676?\n\"Answer: 112*p - 418236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/21)\/(3\/(-7))*-2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.086858 meters to kilometers.\nAnswer: 0.004086858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5889\/15 + 2)*245\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 1. Let f be y(3). Find the first derivative of -5 - 6*b + 0*b + f - 1 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 - 2*v. Let m(g) = -g**3 - 3*g**2 + g. Let r be m(-2). Let k = r + 8. List the prime factors of b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0\/2 - ((-4014)\/(-180) - 13)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Is 105\/2 + w\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-475)\/38*(-5)\/25?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 19001*x**3\/6 + 3*x**2\/2 - 5*x. Let u be f(-3). Round u to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2636755 + 6046819.\nAnswer: 3410064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:37 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m. Let y(h) be the second derivative of 1\/6*h**4 + 0*h**3 + 0*h**2 + 0 - 10*h. Determine y(z(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - 14\/(-6). Let g(h) = 48*h**2 + 2 - v - 64*h**2. Let a(x) be the third derivative of -x**5\/60 + 2*x**2 + 64. Give g(a(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5242 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 23 = -3*q - 8, 0 = -4*q + a + 37. Let x = 262 - -148. What is the third derivative of -q*m**2 + x*m - 410*m + 14*m**6 + 13*m**6 wrt m?\nAnswer: 3240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1694) + sqrt(1694) - sqrt(1694))\/(-1*sqrt(2)*-1)*1.\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 + 11 + -8 - 1) - (22 - 72).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-388)\/372 - -1)*3915\/(-1044))\/5.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410573004 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, i: 1, p: 2, z: 2, a: 1}. Give prob of sequence iza.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 9*m**2 + 3*m - 9. Calculate the remainder when u(-4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -809, -1219, -1633?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/137649 and 121\/16194?\nAnswer: 275298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 35901.\nAnswer: 1\/11967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72908024365 and -0.3?\nAnswer: 72908024365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -7. Suppose 3*f - 7 = s. What is the third derivative of 9*t - 10*t + 4*t**f - 4*t**2 + t wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -619*r - 42820 + 9394 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -l - 2*f + 15 = -2, 5*l + n*f = 79. Suppose 2*u = u + 5. Calculate the greatest common factor of u and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x**5 - 4\/3*x**6 + 0*x**2 + 0*x + 0*x**4 - 49 + 8\/3*x**3. What is the third derivative of v(y) wrt y?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 + 186*j - 37*j - 39*j - 31*j - 79*j.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6) - (18\/20)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -225, -234, -243?\n\"Answer: -9*n - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151929260?\nAnswer: 2, 5, 7, 23, 29, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnngngnngn. Give prob of sequence gnng.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268430\/9 or 29826?\nAnswer: 29826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.6293172 less than -1?\nAnswer: -25.6293172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/8)\/(71\/6 - 12). Suppose 0 = -s - s + 10, 115 = 4*h + 3*s. Let z be h - 2 - 4\/2. Calculate the highest common divisor of z and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290175.\nAnswer: 5, 51607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 25893.07132 to the nearest ten.\nAnswer: 25890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3442611 + 3?\nAnswer: -3442606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 165\/(-75) - (-2)\/10. Let s(g) = -g**3 - g + 1. Determine s(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -900 divided by 300.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29767416 and 2126244?\nAnswer: 29767416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356\/3 + -118. Let j(z) be the first derivative of z**3 + 0*z**5 - 8 + 0*z**2 + 0*z + 0*z**4 - b*z**6. What is the third derivative of j(w) wrt w?\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 - 125*m**4 + 885*m**3 - 1415*m**2 - 560*m + 1860 = 0. What is m?\nAnswer: -31, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586 - 580 + 4*a - 584 + 2328 - 578.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48\/5 - 369\/40. What is the nearest to -0.2 in s, 1\/4, 17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 83\/3 (c) 1\/2 (d) 318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 271*x. Let p(r) = 11*r. Calculate p(w(f)).\nAnswer: 11*f**2 - 2981*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -28. Suppose f*s - 20*s - 6 = 0. Suppose 425 = 5*c + 3*q, -s*c - 3*q + 132 + 29 = 0. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bam when three letters picked without replacement from {x: 2, a: 2, m: 1, f: 1, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4185 + 2*v**4 + 0*v**4 + 4185 + 4*v**3 + 95*v**2 to the form x*v**4 + y*v + u*v**2 + z*v**3 + d and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4228432081 + -4228432102.31001423. Let a = 21.31 + w. Round a to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121110 is divided by 993?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 3*c**2 + 2*c + 2. Let w be f(4). Let o be (2\/(-4))\/(1\/w). Suppose -p = -b + 5 + 1, -o*p + 31 = 4*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 - 200\/(-12). Find w such that -4*w**5 + 8*w**3 + o*w**2 - 8*w**4 - 8 - 16*w + 22*w - 10*w = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 10:15 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/5, 0.0391, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 3*q**2 + 3*q**2 + 35*q**2.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p. Let b(r) = -7*r. Suppose -14 = -17*l + 20. Determine l*k(x) + 5*b(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 162*s. Let l(n) = 3*n. Let y(q) = 23*q. Let f(w) = -6*l(w) + y(w). Determine d(f(r)).\nAnswer: 25*r**2 + 810*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 4*y + 860, 5*y = -3*v - 1257. What is the remainder when (-5 - -6)\/((-2)\/v) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501, 1578, 3231, 5460, 8265?\nAnswer: 11646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = m - 31 + 159, v = 4*m + 37 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -784707 divided by -23779?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + -5 - 1195\/(-1)?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*l + 301*l + 302*l + 296*l + 135*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:02 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -473167 - -3.\nAnswer: -473164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(((d*d**(-36))\/d)\/d)\/d*d\/d**(-16)*(d**(21\/8)*d*d)\/(d**(-1\/4)\/d) assuming d is positive.\nAnswer: d**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i - 9. Let b be t(-6). Let y = b + -50. Calculate the least common multiple of 91 and y.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 36. Calculate the lowest common multiple of (75\/f - 4)*-4 and ((-8)\/(-10))\/((-3)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -21103*d. Let a(z) = -2*z. Give a(s(y)).\nAnswer: 42206*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (46 - (2 + 122)) + (-2 + -9 - -4).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4*c**2 + 3*c**2 - c**2)*(-25*c + 10*c - 4*c)*(1 - 2 + 0).\nAnswer: -38*c**3 - 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.88.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1\/10*q**5 + 0 + 1\/15*q**6 + 3*q - 1\/2*q**4 - 2*q**2 - 5\/3*q**3. Factor d(l).\nAnswer: 2*(l - 2)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181902 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6659.347ns to milliseconds.\nAnswer: 0.006659347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 38 (c) 1\/8 (d) 596 (e) 1\/4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w, 5*z - 3*w + w = 2. Let s be (0 + 0)\/(z + 2). Let i be (18 - s)\/((-1)\/(-1)). Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x + 4. Let u be l(-3). Let p be -1 - (-2)\/((-6)\/21). Let y = p + u. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543 divided by -15.\nAnswer: 181\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 8, l: 4, i: 1}. Give prob of picking 1 j, 1 l, and 1 i.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 653*j + 28. Let k(t) = -654*t - 22. Determine -5*k(r) - 4*x(r).\nAnswer: 658*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 14\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 92. Let u(g) = 3*g - 273. Calculate -3*u(c) + 8*w(c).\nAnswer: 7*c + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (755 - 798) + (2 - -42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:23 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 = -2*i + 264. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2. Let w(c) = c**2 + 8*c + 8. Let i be w(-8). Suppose -p - 6 = -i. Does 5 divide g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*n**2 + 627*n**2 + 552*n**2 + 134*n**2.\nAnswer: 1016*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216799952 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2226*i + 790265. What is l(-355)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325904033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 16 - 15063*o - 9 - 18 + (0 + 1 - 2)*(-2*o - 3*o + 4*o))*(-7*o + 3*o + 3*o).\nAnswer: 15062*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6840 and 2616?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 2*y - 3, 17 = 2*j - 4*y + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260.829 - 0.171. Let o = k - -257. What is the second biggest value in -1\/3, o, -0.15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55783 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 13 + 10)*(-153 - 11*m + 153) as d*m + b and give d.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/2 + 34*v**2 - 3*v - 38. Let o be n(23). Is 1\/9 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647*z + 298*z = -23537 - 20980 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2242?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 184, 277, 370?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 1, w: 1, i: 1, z: 1}. What is prob of picking 1 z, 1 y, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 7\/24*f**4 + f**2 + 1\/3*f**3 + 1\/120*f**6 - 1\/12*f**5 + 0 + 0*f. Is d(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*j**3 - 11*j**2 + 3*j**2 + 5*j**3 - 31*j**3 - 12*j**4 + 6*j**2 as i*j**2 + p*j + a*j**4 + v + f*j**3 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4606.5236362 - -0.1953638. Let j = v - 4609. Round j to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2*t + 4*t - 6881*t**2.\nAnswer: -6881*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:26 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5883571883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 1 + 186 = 0. Let s = 2.1 - 0.1. What is the closest to -0.2 in q, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -29. Suppose -g - 1\/2 - 1\/2*g**l = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1292071.4 and -0.5.\nAnswer: 1292070.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1307 + 1698. What is the remainder when i is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1330 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836408833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let t = 0.33 + 3.07. Let l = -3 + t. What is the closest to 2 in -2\/7, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 34*d - 15 = -3*z, 2*z = 5*d + 10. Put z, 2, 0, 42 in descending order.\nAnswer: 42, z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/36 and 115\/257857872.\nAnswer: 773573616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1 (b) -2\/15 (c) -0.7710877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 368*c + 57*c - 33.\nAnswer: 425*c - 352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1476571, 2953153, 4429735, 5906317, 7382899?\nAnswer: 8859481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, f: 1, q: 1}. What is prob of picking 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52867, 52868, 52869, 52870, 52871, 52872?\n\"Answer: u + 52866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -t + 17, -i + 4*i = -5*t + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 + 9*x - 7. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1295*w - 4 + 1303*w + 4 - 2409*w.\nAnswer: 189*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) + (-657)\/292. Sort 51, 3, v.\nAnswer: v, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 481*b**2 + 3817*b + 171. Give j(8).\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -35854?\nAnswer: -35855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let u = q + -2.7. Let f = -110\/483 + -4\/69. What is the closest to f in 3, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1629*s - 1276 with respect to s.\nAnswer: 1629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8186, -8198, -8224, -8270, -8342, -8446, -8588?\nAnswer: -8774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30\/17 + -103\/68. Which is the third smallest value? (a) -1 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8 + -12 - -3) - 9964\/(-4935)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -596349 divided by -32\nAnswer: 596349\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171)*2 + -2)**2*2 + sqrt(95)\/sqrt(80)*-5 + (sqrt(76) + -1 - sqrt(19))**2 + ((sqrt(133) + 2*sqrt(133))\/sqrt(7))**2.\nAnswer: -3937 + 563*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.099639ng?\nAnswer: 0.000000000001099639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)*o)**(31\/5)*((o\/(((o**(-4\/9)\/o)\/o)\/o)*o*o*o)\/o)\/(o*o**(2\/5)) assuming o is positive.\nAnswer: o**(629\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:19 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Let p be (-1)\/(h - -2)*36. Suppose m + p = 4*m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2752? (a) -17 (b) -4\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723.554 minutes in hours?\nAnswer: 28.7259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492 + 2*r - 8*r - r**2 + 947.\nAnswer: -r**2 - 6*r + 1439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 7. Let y(p) = 11*p**2 - 5*p. Let g(w) = -12*w**2 + 10*w - 5*w**2 - 3*w - 5*w**2 + 6*w**2. Let o(u) = -5*g(u) - 7*y(u). Calculate f(o(i)).\nAnswer: 12*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 - 9*r. Let m be c(-7). Suppose -2*j - 4*h - 8 = 0, 0 = 6*j - 5*j - 4*h - m. Let i(d) = 2*d - j*d + d. Let x(b) = -b. Determine x(i(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i + 7*i + 15*i + 30*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37448 rounded to 3 decimal places?\nAnswer: 0.374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1.4. Suppose -5*c - 450 - 110 = 0. Let w be c\/(-36) + -1 + -2. What is the smallest value in a, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**8\/84 + 2*f**4\/3 + 12*f**2 + 18. Let n(i) be the second derivative of s(i). What is the second derivative of n(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285 - -288. Solve -y*r - r - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.3, -135, 2\/3?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149178254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 151492421 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: Total of -0.11 and -0.095.\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from xswasbw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n = -29*n + 8*n + 423 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12021370 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 300*n**2 + 2208*n - 4288.\nAnswer: 4*(n - 67)*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let u = 1909 + -1915. Let p be -2 + u\/(1 - y). Solve p = -3*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -57. Let a be ((-152)\/(-6))\/((h\/(-6))\/17). What is the greatest common factor of 190 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstssssjh. Give prob of picking 1 t and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -30*v. Let u(w) = w**2 - 1. Let o(z) = 12*z**2 - 15. Let r(t) = o(t) - 15*u(t). Give r(s(g)).\nAnswer: -2700*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 1. Let d = -2 - -1. Let l be o(d). Solve 3*n + l + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*d + 222*d - 390 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 66 = -3*l - 2*o, -5*l - 3*o = -114. Let n = 23 - l. Suppose -2*p + 0*p - 5 = -5*h, -3*h - 1 = -2*p. Solve p*b - n*b = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z. Let w(j) = -j**2 + 4*j. Suppose 6*g - 21 + 39 = 0. Give g*w(o) + 4*k(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152478, -152476, -152474?\nAnswer: -152472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 10*p = 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364934 + 194742 = 82*v + 78172. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -3. Let r = 22701\/2 - 11656. Let y = 306 + r. Which is the closest to y? (a) p (b) 0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144696429 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyrzyynvyyy. What is prob of sequence rzy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*g = 36, 4*g + 8 = 4*m - 144. Suppose -6*h = 4 - m. Solve 2*s + 4 = -h*n + 5*n, 0 = 4*n + 3*s + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 = 5*i + 5*d, -3 = d - 0*d. Let o = i + 1297\/7. Let x = 0.25 + 0.05. What is the second smallest value in o, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/27 + -1 + 230\/(-18). Suppose u - 38 = -u. Let p = u + h. Solve 5*c - p = -1, -5*n - 2*c = -17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1315 and 10065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 17 + 9. Suppose -d = -3*c + 226, p*c - 4*c - 308 = 3*d. Let z = c + -64. Solve 5*t = -3*a - 12, 2*t + 3*t = -5*a - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26970, 26980, 27014, 27084, 27202, 27380, 27630, 27964?\n\"Answer: 2*p**3 - 4*p + 26972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**7\/504 - i**5\/60 - i**4\/6 + 2*i. Let d(w) be the third derivative of u(w). What is the derivative of d(a) wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7)*(-10535)\/2580. Let v(n) be the second derivative of 0 + 1\/12*n**4 - f*n**3 + n**2 - 6*n. Determine v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, -2, -0.05, -2\/3, -0.1, -1\/5, -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 - -131. Let f(h) be the first derivative of 3\/20*h**t - 3\/25*h**5 + 1\/5*h**3 + 0*h - 3\/10*h**2 - 3. Factor f(c).\nAnswer: -3*c*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10232959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -27*i. Let b(z) = 113879*z. Determine b(y(s)).\nAnswer: -3074733*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/132 and -10\/7.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 67*d**2 - 22*d - 903. Let p be v(66). What is the highest common divisor of 783 and p?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 2*u - 9*u + 7*u. Let z(o) = 0*o - 17*o - 5 + 5. Let s(b) = 34*b. Let i(p) = -3*s(p) - 7*z(p). Give i(g(f)).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l. What is w(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + u - 135, -4*u - 11 = 9. Let d = -43 + z. Calculate the smallest common multiple of 0 - (2\/(-1) + d) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -35. Let c(r) = -r**3 + 2*r - 4*r**2 + 1 + 2*r**3 + 0*r**3. Give c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/1080 + v**5\/720 + v**4\/144 + 5*v**3\/6 - 37*v. Let p(f) be the second derivative of y(f). What is s in p(s) = 0?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 674 + -671. Let t = 29 + -42. Sort l, t, 2\/5.\nAnswer: t, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552025 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19579708747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = -8*h. Let m be (24\/(-9) - h)*3. Let c(d) = -4*d + 6*d + 4 - 3*d - m. Give c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23702 by -14.\nAnswer: -1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10438c (base 13) to base 6\nAnswer: 12054304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 47*j. Let q = 182 - 180. Let a(o) = 57 + 56 - 113 + q*o. What is n(a(m))?\nAnswer: 94*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Let f = -110.015 + 97.015. Which is the nearest to r? (a) f (b) 1\/6 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + (4 - 1) - 1\/1. Which is the smallest value? (a) 1 (b) -1 (c) x (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 2*m + 2*m**3 + 0*m**3 + 37*m**2 + 20 - 36*m**2 - 4*m**3 + 0*m**4 to the form u*m**2 + s*m + j*m**4 + q*m**3 + c and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -14.16. Let u = 0.14 - i. Sort -0.4, u, 2.\nAnswer: -0.4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 8*o - 64. Does 38 divide m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2632251230?\nAnswer: 2, 5, 7, 31, 1213019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1141778297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 4*n = -10*a + 5, 2*n + 9 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:00 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9923 - 19362 = -100*k + 710*k + 6705 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06688 to three decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -2) + (-26)\/(-22). Suppose -b - r = 0, -b + 2*r + 0*r - 3 = 0. Which is bigger: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 17*y + 20. Let d = -29 + 44. Let b be z(d). Sort 0, -4, 5, b in descending order.\nAnswer: 5, 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35500 and 15500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 2, j: 1}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97776842.\nAnswer: 2, 48888421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 93 = 2*q. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -12, -15 = -r - 3*y + 1. Let q(n) = 392*n - 3114. Let x be q(8). Calculate the highest common factor of x and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853\/12 + -3 - 1\/(-4).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 673 - 205. Let r = i + -471. What is the nearest to 1\/12 in r, 5\/4, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12*k + 2505. Let j = -121 - k. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 12*s + 14. Let v be b(5). Suppose 0 = 4*q - 13*q + v. Suppose -q*i + 5028 = 1530. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7425002*b**2 - 5*b + 2. Let v be f(2). Round v to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.96 - -1.808. Let k = u - 10.808. Round k to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/3)*c*c**(-16))\/(c**11*c**(16\/7)*c) assuming c is positive.\nAnswer: c**(-580\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.02 - 0.02. Let c = -13 + o. Let k be (0 - 4 - (-60)\/(-12)) + 1. What is the smallest value in k, -1\/3, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g**2 - g + 2. Let j(b) = 19*b**2 - 2*b + 4. Let z(w) = j(w) - 2*p(w). Let d(q) = 494*q. Determine z(d(s)).\nAnswer: -244036*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005063 rounded to 4 decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31789 - 68284 = -23*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 26, 62, 112, 176?\n\"Answer: 7*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.023 - -4.005. What is z rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9550093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2387 + 15*q + 2387 - q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1411510 (base 6) to base 2.\nAnswer: 10011011001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 105*x - 116. Let g(n) = 106*n - 131. Give -6*c(k) + 5*g(k).\nAnswer: -100*k + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 + 3*f**2 - 4. Let p(t) = t**3 + t**2 - 1. Suppose -4*c + 0*c = -4. Suppose -4 + 2 = -h. Suppose -h*r - 12 = 2*r. Determine c*x(z) + r*p(z).\nAnswer: 2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, 141, 565, 1187, 2013, 3049, 4301, 5775?\nAnswer: 7477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g. Let s be u(-2). Suppose 4*y + 0*y - 60 = 0. Let n be (-5)\/(5\/(-3)) + y. Calculate the greatest common factor of n and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76120 and 1118964?\nAnswer: 11189640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003613 rounded to 7 dps?\nAnswer: 0.0000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:15 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i - 392*i = 2340. Put i, -22, -48, 3 in decreasing order.\nAnswer: 3, i, -22, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4690262.02060293 + 4690262. Let u = k - -0.0206. What is u rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 6. Let w(q) = -q**2 - 15*q - 1. Let d be w(h). Let z be -1 - d - 9\/(-3). Solve -z*n + 7*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8418 is divided by 8080.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 151*f - 7. Let n(q) = 25*q - 1. Let w(d) = h(d) - 6*n(d). Calculate w(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1288795 divided by 5\nAnswer: -257759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*o + 83*o**2 + 4*o**3 + o**4 - o**4 - 7*o - 68*o**2 + 3*o**6 wrt o?\nAnswer: 360*o**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -9 - -15) + -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 59*p + 40. What are the prime factors of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34309 + 34313. Let s = 5\/8 + -21\/40. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (-1 + (-1 - 0)). Let a(n) = -19*n**2 + 7. Suppose -17*f - 18*f - 134 - 111 = 0. Let b(x) = 6*x**2 - x**2 + 8*x**2 - 5. Determine f*b(r) + l*a(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98793.4m in millimeters?\nAnswer: 98793400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*k = 0, 1 = -g + 5*k - 11. Let s = -4.706 - -4.606. Which is the nearest to s? (a) 4 (b) -5 (c) -2\/11 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 341 (b) -11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.4, 27.1, 0.2?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i = -2*i - 90 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3541, -4535, -7227, -12463, -21089, -33951, -51895, -75767?\nAnswer: -106413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-55))\/(2\/50).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 5*g**2 + 5*g - 2. Let b be 49\/(-21) - (-1)\/3. Let f be x(b). Find the first derivative of d + 23 - 6*d + f*d wrt d.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, i: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 + 0.72. Let d = 1 + 0. Let o = d - t. Which is the smallest value? (a) 3 (b) o (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**6\/1620 - 2*j**5\/135 - 5*j**4\/36 - 5*j**3\/2 + 5*j**2 - 1. Let v(b) be the first derivative of s(b). Factor v(l).\nAnswer: -2*(l + 3)*(l + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 33 = 3*p, 2443*p - 2445*p - 25 = 3*m. Let j(y) = 9 - 7*y**2 - 2*y - 8*y**2 + 4*y. Let r(g) = 7*g**2 - g - 4. Give m*r(h) - 4*j(h).\nAnswer: -3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51999*c**3*t - 6*c**2*t - 3*c**2 - 41*t - 2 wrt c.\nAnswer: 311994*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49153 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/3*y**2 + 0 - 2*y**3 - 2*y + 1\/3*y**4.\nAnswer: y*(y - 3)*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873.677 decades in millennia?\nAnswer: 18.73677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855149231 to the power of 1\/2, to the nearest integer?\nAnswer: 43071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-1280)\/336)*((-250)\/30)\/(-25).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 110306?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*g - 18. Let z = 18 - g. Suppose v = -3*v + z. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6014\/11 + 12129\/22. Let k = -1294\/9 - -254912\/1773. Let g = k + -973\/3546. What is the common denominator of g and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2 - (1064\/(-16) + -18). Solve -5*m + o = 2, -5*m + 3*o - l = -81 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + y - 330 = 0. Let g = 96 + y. What is the second derivative of -73 - g - 10*n**3 - 34*n + 136 wrt n?\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*a - 243 = 0, -233 = -c + 6*a - 2*a. Suppose 9*f = 1259 + c. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 14. Calculate j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 133. Let x = 386 - g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*-1*4\/(-32)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.869 + -11.861618. What is v rounded to four dps?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 633 and 21311.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 3*o**2 + 5*o + 3. Let s be g(4). Suppose 37 = 3*y - 47. Calculate the highest common factor of s and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 7*r + 9. Let m be o(-6). Let n be 1\/m + (-627)\/(-9). Suppose 0 = -3*s + 45 - 3. What is the greatest common factor of n and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/4 - -4)*-508 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 + 202. Let f = -40 + w. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 - -231. Suppose -3*y = -2*y + q - 58, -2*q + 281 = w*y. Calculate the greatest common divisor of y and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*z - 521. Suppose 0 = 6*a - z - 95. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/6, 0.051, 0.316, 3\/2, -0.1?\nAnswer: 0.316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 2 v when four letters picked without replacement from zvtvl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 - 13*a + 10. Let n be l(11). Suppose -4*j = -4*q - 48, 4*q = 2*j + 9 - 59. Is n < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 24. Let v(j) = -9*j - 52. Let u(h) = 13*f(h) - 6*v(h). Let p(k) = 6*k. Give p(u(b)).\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r**4\/2 - 2405*r**3\/2 - 33693*r**2 - 26374*r - 5236 = 0. Calculate r.\nAnswer: -22, -2\/5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 0 + 210\/49. Let o = 3499\/28 + -125. Let r = n + o. Which is the third biggest value? (a) r (b) 13 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 5 = 2*y, 0 = -23*n + 22*n - 4*y + 29 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16840136018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 240?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 20*q + 6. Let v be p(-21). Let c be (-105)\/175 + 51\/v. Let g(r) = 5*r**2 + r - 3. Let x(i) = -i**2 + i + 1. What is c*x(f) - g(f)?\nAnswer: -f**2 - 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31964 is divided by 2471.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 22*l**2 - 74*l - 25. Let v be s(-5). What is the greatest common factor of 640 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2 - 2 - 1107 + 1107 + 32*w + (-5*w + w + 3*w)*(0 + 4 - 3).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445514025.789 less than 25?\nAnswer: -2445514000.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3774*j - 174327 = -1557*j - 2227*j + 90203 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2458283, -4916593, -7374903, -9833213?\n\"Answer: -2458310*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1c7?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 1\/8*j**4 + 0*j**3 + 0 + 0*j - 25*j**2. Give v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*l - 16, -53*l + 49*l = -3*n - 37 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88505477.\nAnswer: 19, 29, 160627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 15. Suppose 0*y + y = a. Suppose -13 + y = -3*j. Solve 4*n - 24 = -j*d + 4, 0 = d - n - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3952, 3959, 3966, 3973, 3980, 3987?\n\"Answer: 7*r + 3945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/(-231)*(-6)\/92*-1.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*42\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 437321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -637*i**4 + 17*i**3 - 218863*i**2 + 2*i + 1?\nAnswer: -15288*i + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/12 - d**2 - 4*d - 2. Find n such that o(n) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8335 and 430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2311304 + -14 + (-8 - -26). What is x rounded to the nearest 10000?\nAnswer: -2310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153055 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 256, 383, 510, 637, 764?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 - j**3 + 5*j**2. Let p(l) = 1. Let o(s) = 6*p(s) + x(s). Let q(c) = 2*c - 15. Give q(o(g)).\nAnswer: -2*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 23?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18411954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 57*s + 333. Let w be t(18). Solve -64 = w*x - 47*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -59. What is the third derivative of 27*n**2 - 12*n**i + 0*n**6 - 8*n**6 - 4*n**6 wrt n?\nAnswer: -2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b8 (base 14) to base 12.\nAnswer: -7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s**3 - 37*s**2 - 13*s - 24. Let t(i) = 3*i**3 + 12*i**2 + 4*i + 8. Let m(n) = -2*q(n) - 7*t(n). Is 6 a factor of m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21517*q - 28*q**2 + 7172*q + 7169*q + 7176*q.\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6303079.\nAnswer: -3\/6303079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12171617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*v - 5, -4*v = -k + 6*k - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242 + 32. What is the remainder when n is divided by 89?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 32 = -24. Suppose -4*n - 8 = g, 171 = -v - 2*n. Is -163 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 3, a: 2, f: 1, c: 1}. What is prob of sequence wgaf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*j**3 - j + 85*j**3 - 43*j**2 + 30*j**2 + 2 - 43*j**3 + 5*j**4 in the form z*j + q*j**4 + d*j**3 + a*j**2 + s and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -33. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 20 - 18*n**2 + 29)*(-20 + 20 - 123*n**2).\nAnswer: 2214*n**4 + 246*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93333\/2 or 46668?\nAnswer: 93333\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q**2. Let v(j) be the second derivative of j**3\/6 + 6*j. Give v(d(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3947, 16398, 37183, 66308, 103779, 149602?\n\"Answer: t**3 + 4161*t**2 - 39*t - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 143.9999913. What is j rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40652*v**3 - 40670*v**3 + 207*v + 303*v - 510*v - 3*v**2.\nAnswer: -18*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 10:32 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 6*m**4\/7 + 31116*m**3 + 1976099262*m**2\/7 - 1694639592*m + 17796656664\/7 = 0?\nAnswer: -18154, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293.38 - -290. Let y = 3.68 + r. What is the smallest value in y, -3, -1.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*r - 54, 4*a + 87 = 6747061*r - 6747062*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/4 - 7*d**3\/4 - 5*d**2\/2 = 0. What is d?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 11*v = 528. Let g = -702 - -702. Solve 3*y + 3*i + v = g, 5 = -i - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1)*8*(-4)\/(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h. Calculate k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 62, 73, 102, 155, 238?\n\"Answer: k**3 - 8*k + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10582? (a) -2\/47 (b) -2\/7 (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 0.3 (c) -6 (d) -15 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 308 = -164. Solve 4*t - 16 = 2*r, -f*t + 5*r + 43 = 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 613 = -589. Let j(f) = f - 1. Let i(s) = s**2 + 15*s + 10. Let b(c) = i(c) - j(c). What is b(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r - 185815 + 185815.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 + 1 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50708.7 minutes in hours?\nAnswer: 845.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (-4 + (2 - -3)). Let i = f + 9. Solve -d - 4*g = -4, -d - i = -g + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 7. Let g be (0 + 5)*(-1)\/1. Let j be o(g). Let b = -8 - j. Calculate the lowest common multiple of b and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + (-10 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 451*x - 7. Let s(k) = 451*k - 6. What is -5*o(r) + 6*s(r)?\nAnswer: 451*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d - 2 = 0. Let p be -3 + 6\/2 + -2. Let k be (p - -1)*1 - d. Solve -4*i - 15 = q, 5*i - 4*q + 33 + 12 = k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - 14\/(-3). Suppose -7*o - 3*z + 1 = -2*o, o - 14 = 4*z. Sort l, 4, o.\nAnswer: o, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 746 = z, 21*z = 22*z + 2. What is the remainder when 2606 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.028 and -1.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 2)\/(1 - 3). Let t = -1 + q. Is t at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 28*z - 7. Let c be f(4). Let g = -94 + c. Calculate the remainder when 36 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5944 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 + -3.6. Let i = w + -2.6. What is the nearest to 1\/4 in 2\/13, i, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -8ea677?\nAnswer: 8ea67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 16. Let y = 1.9 + -3. Let k = -0.8 - y. What is the nearest to -1 in k, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 396, 453, 510, 567?\n\"Answer: 57*l + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.01 + -0.01. Let x = 2.467 + -3.167. Let s = 0.029 + -0.229. What is the third biggest value in s, x, i, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 552693310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34, 131, 298, 473, 662, 871?\n\"Answer: t**3 - 5*t**2 + 173*t - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 29*d + 10. Let b be k(0). Solve -16*j + 11*j - b = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z - 14. What is v(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/18 - 4*u**3\/9 - u**2 - 7*u. Factor o(s).\nAnswer: -2*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*l - j, -l - 4*j + 27 - 8 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4.41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -71*b - 1. Let c(s) = -2*s + 3. Let g(m) = 11*m - 15. Let i(k) = -5*c(k) - g(k). Determine i(z(d)).\nAnswer: 71*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/6 - r**3\/3 - 2*r**2 - r. Let h be a(-3). Suppose -72 = -5*c + c + 4*f, 0 = -4*f - h. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3873*(-3 + 90\/27). Round j to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 20*w - 5*w**2 - 20*w.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 9}. Give prob of sequence aa.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, c: 3}. Give prob of sequence cc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -3, 5 in decreasing order.\nAnswer: 5, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**7\/14 + 25*n**4\/3 + 233*n**3\/3 + 1372*n. Find the second derivative of r(k) wrt k.\nAnswer: -60*k**3 + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1879.93 times -2?\nAnswer: 3759.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 3*c**2 - c + 6. Let y be o(-3). Let g(p) = p**3 - 9*p**2 + p - 1. What is the least common multiple of g(y) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8999*a - 52289. What is v(-6)?\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 190\/3. Let l be (-162)\/243 - (20\/(-6))\/5. Sort l, 2\/35, p, 0.5.\nAnswer: l, 2\/35, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 6, -0.067, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - 5*i**2 - 2*i - 3. Is t(11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 + -20 + -1 + 4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlttltt. What is prob of sequence tl?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 - 11*x + 2 + 19 + (2 - 6 + 2)*(x - 3*x + x).\nAnswer: -9*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.816, -1\/8, -3, -4, -3\/10 in ascending order.\nAnswer: -4, -3, -0.816, -3\/10, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, r: 2}. Give prob of sequence srss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 325.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, 7411, -2, 3, -3, -1 in ascending order.\nAnswer: -14, -5, -3, -2, -1, 3, 7411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 19*t**2 - 17. Let o be v(-19). Suppose -3*k = k + 20. Let a = k - o. Calculate the remainder when 59 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = 0, -9965 = 4*h - 7*h - 2*a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-5)\/o)\/o*o*o**(6\/7))\/(o\/o**(-2\/5)*o**7))\/(o**4\/(o**5*o)*(o\/o**(-1))**(-34)) assuming o is positive.\nAnswer: o**(2011\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4. Let b(o) = -1. Let z(v) = 9*b(v) + 2*j(v). Let c(r) = r**2 - 2. Let t be 10\/(-7) + 15\/35. Let y = 43 + -39. What is t*c(q) + y*z(q)?\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, g: 3, k: 2, o: 2, a: 3}. Give prob of sequence gg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 608.9 and 338186.\nAnswer: 338794.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84242393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 213*f**2 - 22 - 157*f**2 + 223*f**2 + 150.\nAnswer: 279*f**2 + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 41820\/11359?\nAnswer: 41820\/11359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41390 (b) 0.06 (c) 6 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 4*b**2 - 2*b + 6. Let g be l(-5). Is 69\/(-2)*30\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -519713\/3 - -5574280\/33. Let o = -2186 - -6510. Let t = f + o. What is the common denominator of 21 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:00 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527 - 807 = 25*t + 21*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101011010000000100010 - -10?\nAnswer: 10100101011010000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5285739 - 1\nAnswer: -5285740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + -10 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -49. Suppose 24*b - 423 = k*b. Let n = -133 + b. What is the second biggest value in -3, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14*x)\/x*((((x*x**16)\/x*x*x)\/x)\/x)\/x*x assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g, -4*s + 2*g + 174 = -3*g. Let n = s + -33. Calculate the greatest common divisor of n and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/90*(-42)\/(-2401))\/((-12)\/42)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhthhdt. What is prob of sequence th?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = 15*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 3 - 2 - 2. Let c(h) = h**2 - h - 1. Let q(s) = -2*s**2 + 3*s + 3. Let d(t) = 6*c(t) + 2*q(t). Determine d(o(n)).\nAnswer: 50*n**2 + 20*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44682.54 decades?\nAnswer: 5361904.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, -1\/3, 0, 3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 8. Suppose -4*z - 5*w - 4068 = -7*z, z = -i*w + 1373. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = -3*s. Let h be s - (3 + 2\/(-2)) - -16. Factor -4*r - h*r + 14*r - r**2 + 4 + r**3.\nAnswer: (r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.35 + -76.35. Which is the closest to 2\/29? (a) n (b) -1\/3 (c) -0.2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 87 + 83 - 111 as t*q + l*q**2 + m and give m.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027890?\nAnswer: 2, 5, 29, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1727 and 23\/2512?\nAnswer: 27632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t = 76, -2*f = -3*t + 3 + 57. Let d be (19\/(-76))\/(2*1\/f). Factor -10\/7*p**d - 18\/7*p**2 - 2\/7*p**4 - 2*p - 4\/7.\nAnswer: -2*(p + 1)**3*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232010 (base 4) to base 5\nAnswer: -43243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8708*n - 8736. Calculate b(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 129 - 149 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 17*l**2 + 15*l + 34. Let i be o(16). What is the greatest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43921.594 and 1694.1884.\nAnswer: -42227.4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14430862.53 seconds to weeks.\nAnswer: 23.860553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 26. Let h(x) = 1. Let y(s) = -3*h(s) + w(s). Is y(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*d**3*m + 2*d**3 + 9*d**2*m - 75036*d**2 - 8*d*m + 15*m with respect to m.\nAnswer: 10*d**3 + 9*d**2 - 8*d + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**5 - 4025*q**2 + 2*q + 420878?\nAnswer: -100*q**3 - 8050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 21*r**5\/4 + 215*r**4\/4 + 23*r**3\/4 - 275*r**2\/4 - 11*r + 15 = 0.\nAnswer: -10, -1, -2\/3, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3dd2 (base 16) to base 5.\nAnswer: -1001301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*o + z = -23359, 2*o + 3*z - 23339 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.91 and 0.3.\nAnswer: 6.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, 45, 0, 13 in ascending order.\nAnswer: 0, 1, 13, 26, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 32. Let a(k) = k**2 + 7*k + 10. Let y be a(-4). Let h be 112\/32 - y\/(-4). What is the highest common factor of h and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97231651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (28 + -26 - (2 - 16))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466379.4nm in meters?\nAnswer: 0.0004663794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 977*i + 978. Calculate j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.19 - 12.41. Let p = g + 13.5. Which is the smallest value? (a) -0.4 (b) -14 (c) 0.4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 833*t**3*w**2 + t**3 + 893*t**2*w + t*w + 29*w**4 - 6*w**2 - 206*w - 2 wrt w?\nAnswer: 1666*t**3 + 348*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**8\/70560 - q**6\/2520 - q**5\/15 + 4*q**2. Let f(r) be the third derivative of n(r). Solve f(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (4\/(-2) + 7)*(0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*-1)\/((-90)\/(-25)*-5).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-268800)\/(-270))\/35 + -28. Factor -14\/9*h**3 - 2*h**2 + 0 - n*h.\nAnswer: -2*h*(h + 1)*(7*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 7*a**2 + 9*a + 11. Let q be z(-8). Let y be 28\/q - 3 - (-2)\/(-6). Which is bigger: y or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*15\/4560*38*56.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -1.337249\nAnswer: -12.035241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 - 45*m**4 + 150*m**3 - 230*m**2 + 165*m - 45 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:37 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399442233.\nAnswer: 3, 9533, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517508 is divided by 7076?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347 by 567596.\nAnswer: -347\/567596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-5*2\/((-20)\/(-15)). Is (2 - (-35)\/a)\/((-1)\/5937) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 divided by 61440\nAnswer: -241\/61440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6336))\/sqrt(4).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - t**2 + 2*t - 2. Let m be x(2). Let f be -1 - m\/(-3) - -1. Let w = f - -4. Put w, 1, 4 in descending order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -23924164\nAnswer: -143544984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40453 and 0.06.\nAnswer: 2427.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/15 - 1792*z\/5 + 10744\/15 = 0?\nAnswer: 2, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.1, -10, -8506 in descending order.\nAnswer: 4\/3, 0.1, -10, -8506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -96, -171, -268, -387, -528, -691?\n\"Answer: -11*q**2 - 20*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31318, 31338, 31378, 31444, 31542?\n\"Answer: c**3 + 4*c**2 + c + 31312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14261305?\nAnswer: 5, 19, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {d: 4, z: 2, t: 3, a: 1, h: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - t = 14557, -5*t + 3319 + 1544 = f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ba + 17?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 8)*(-4*z**4 + 0*z**4 + 0*z**4) as b*z**3 + q + u*z + l*z**4 + d*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -1. Suppose 0 = a + h - 16. Suppose 2*p = p + a. What is the greatest common divisor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*f + f**3 - 2*f**2 - 79 - 3 - 176*f to l + j*f**3 + g*f**2 + w*f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10689960 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 27. Let z = 363\/212 + 2\/53. Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 26*y**2 - y - 1. Let q be c(-1). Solve -14 = -2*o + k, -2*k + 6*k + q = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1*1 + sqrt(121) + sqrt(121) + (-3*sqrt(121)*2 - sqrt(121)))\/((sqrt(99) - (sqrt(99) + sqrt(99)*2)*2)\/sqrt(9)).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of -2 + (-3 - -3) - -107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.8 + 32. Let o = u - -1.8. Which is the nearest to 2? (a) 0 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/10*(-20)\/(-8). Let s = 0.7 + 1.3. Which is the nearest to -1\/2? (a) s (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 3143096*c**2 - 6286208*c.\nAnswer: 4*c*(c - 785776)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 360255 + 471?\nAnswer: 360746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqy when three letters picked without replacement from qqyyyqqqqqqqqqqqqq?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -17105*n**2 - 27822*n**2 + 12555*n**2 - 41 + 41 as k*n**2 + y*n + r and give k.\nAnswer: -32372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, v: 1, u: 2, p: 1}. Give prob of sequence wv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 1\/9*p**6 + 7\/3*p**4 - 4\/5*p**5 - 32\/9*p**3 - 4\/3*p + 22 + 3*p**2. Determine z so that u(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**3 - s**2 + 2*s - 2. Let g be q(1). Suppose g*v + 3*r = -2*r, 3*r = -v + 8. Let o be v*(9\/(-12) - (-1)\/(-4)). Solve 0 = 3*y - 2*y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(3*sqrt(6)))\/(sqrt(4) - (sqrt(96)\/sqrt(2) + sqrt(48))\/sqrt(12)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*w = -3*x - 2, -3*x - w + 6 = 0. Let g = x + 4. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 40. Suppose v = 3*d - 2*t - 4, 2*d = 2*t + 10. Suppose -2*x + 0*x + 56 = d*b, b = 3*x + 8. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48134930 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/112)\/(30\/80*2\/(-51))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44355 is divided by 3846.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 7 = 3*g, -3*l - 32 = -2*g. Let a be (-18)\/30 + 1 + 4\/l. Solve a*s + 2*s = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p*s**4*t - 2*p*s*t - 170*s**4*t + 2*s - 3*t + 2 wrt s.\nAnswer: -12*p*s**2*t - 2040*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/((-11)\/55). Suppose g - j = 12. Let x = 14 - g. Solve 5*z = 4*m - 15, -m - 2*z = -x*z - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 4*n**3 - 2*n**3)*(-12*n**2 + 45*n**2 + 12 - 21 + n) + (n**2 - n**2 - 2*n**3)*(-3 - 2*n**2 + 2*n + 3).\nAnswer: 37*n**5 - 3*n**4 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.67827 to zero dps.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:51 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -724 + 1921. Suppose 0 = 5*t + 2*t - r. Let w = t - -5. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*s**3 + 8*s**4 + 152*s**3 + (4*s - 4*s + 2*s)*(-3*s**3 + 4*s**3 - 3*s**3) in the form b + h*s**4 + o*s**2 + y*s**3 + c*s and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/26? (a) 56 (b) -507 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1427 - 1431. Sort 3, f, 13, -7.\nAnswer: -7, f, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*j + 142*j + 60. Let s = 572\/19 + j. Which is the nearest to 1? (a) -5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, -63, 2\/3 in ascending order.\nAnswer: -63, -0.4, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430016*n**4 + 7095296*n**3\/11 - 2660772*n**2\/11 + 295654*n\/11 - 2\/11 = 0. Calculate n.\nAnswer: 1\/147818, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at least as big as -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = f - 29, 0 = -8*b + 10*b + 10. Suppose 33*w = -f*w. Solve 2*t - 2 + 0 = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15816 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 804714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4)*(11\/2 + (-663)\/102). Let w(d) be the third derivative of 1\/40*d**6 + 3\/4*d**4 + 4*d**2 + 0 + 0*d**3 + 0*d - g*d**5. Factor w(t).\nAnswer: 3*t*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20 = -0*g. Let p = 234 - 146. Let y = 84 - p. Is y bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**5\/60 + j**4\/36 + 5*j**3\/18 + j**2\/2 - 2*j + 3. Let x(w) be the first derivative of l(w). Factor x(y).\nAnswer: -(y - 3)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1423?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (0 + 17 - 18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.87919 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s + 375 = 40*s. Let m be s\/90 - 92\/(-24). Factor -m*f**4 - 3\/2*f**5 + 3*f**2 + 0 + 0*f**3 + 3\/2*f.\nAnswer: -3*f*(f - 1)*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 10 = -39*r + 24*r + 62*r - 5*x, -x = 2*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3282)\/450 - (-7 + (-190)\/(-30))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24384 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 1.2. Let k = 6 - 7. Are k and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.031 - -0.421. Let z = t + -0.09. What is the third smallest value in -1, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2 - 6 + 3 + g. Let a = 56 + -61. Give t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 20*b + 168 + 862 = -74 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -2\/5, -646, -0.8, 59.78?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135*k + k + 3*k + (-1 + 2 - 3)*(-k - 2*k + 2*k) - 2*k + 2*k + k + 7*k - 3*k - 2*k.\nAnswer: 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19499, 38882, 58265, 77648?\n\"Answer: 19383*p + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*v - 105, v + 68 + 16 = 4*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*q + 2 = 4, 4*q - 5 = z. Let p(n) = 2*n**2 - n + 1. Let r be p(-2). Let s = r - 8. Solve 2*m = -5*x + z, -x - 8 = m - s*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -12. Find the second derivative of 2*r - 4*r**5 + x*r**5 + 8*r wrt r.\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*n - 1249*n + 6896 - 103302 for n.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 53*d**2 + 104*d - 378. Determine b(-55).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 3. Let p = 6.3 + o. Let c = -4 + p. What is the biggest value in -2\/17, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 777032285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2059, 4119, 6179, 8239, 10299?\nAnswer: 12359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 206*h + 3090 = 0, 3918*h = -n + 3923*h + 75 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*((sqrt(9072) + sqrt(9072)*2)*6)\/((-2*(sqrt(27) - sqrt(1323)))\/sqrt(3)))**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose u*w = 2*w + 28. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*w + 13 = 41, -u - w = 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-4.71947.\nAnswer: 9.43894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/(((-6474)\/(-120848))\/((90\/8)\/(-3)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*d = 120. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -0.102083.\nAnswer: -0.102083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-24))\/((21\/10)\/(-7)). Let b(z) = -3*z**2 + 21*z + 2. Let j(t) = -t**2 + 7*t + 1. Let k(u) = 3*b(u) - 8*j(u). What is k(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -13*q**2 - 9*q - 111. Let i(k) = -7*k**2 - 5*k - 57. Calculate 7*i(m) - 4*j(m).\nAnswer: 3*m**2 + m + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*-2 + 1 - sqrt(448)) + sqrt(448) + 2*(sqrt(448) + 0))**2 - (((sqrt(448) - 1*sqrt(448))*6 + sqrt(448))**2 + 0).\nAnswer: 1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/((-126)\/(-14)))\/((-28)\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q + q)*(-4*q - 13*q + q).\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 not equal to -905\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z\/(z**(3\/13)*z*z))\/z)*z*z*z**(-18) assuming z is positive.\nAnswer: z**(-166\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/105 + 5*x**4\/24 + x**3 + x**2. Let b(j) be the first derivative of n(j). Differentiate b(p) with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 4 + 2 - 16. Let x be (-9)\/(-4)*2\/3*u. Let s be (x + 20)\/(1\/2 + 0). What is the highest common factor of 44 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/60 + d**4\/6 - d**3\/3 + 3*d**2. Calculate the smallest common multiple of k(-6) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:23 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzb when three letters picked without replacement from mmbzmmbmbzzzmmbb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8119.517km?\nAnswer: 8119517000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 105. What is the third smallest value in t, -1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 120 + 586 = -4*w, 2*w + 698 = 3*p. Let u be (-6)\/(-36) + p\/(-12). Let v = u + 17. Does v = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3411 and 495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1517.9 - 1518. What is the closest to -0.2 in v, -1\/2, -4.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 11*y - 16. Suppose -2*s + 0*s = -y. Suppose -11 = -6*z + z + s*t, -4*t = -4. Solve 0 = -z*h + 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/(90\/63*3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 - 148 = 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/13, -54, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-303)\/(-120) - (-1056)\/(-440). Sort h, -67, -5\/2 in ascending order.\nAnswer: -67, -5\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(-6*1*sqrt(612) + -1 + sqrt(612) + -5 - (sqrt(612) + -1 + 1 + sqrt(612) - (sqrt(612) - (sqrt(612)*1 + 2 + sqrt(612)))))*-3)**2.\nAnswer: 995328*sqrt(17) + 50844672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722896 plus -154429519?\nAnswer: -149706623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2323074 is divided by 188.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1376 (base 9) to base 12\nAnswer: -729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1163 or 18650?\nAnswer: 1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542349031?\nAnswer: 7, 77478433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*q**3 + 143*q**3 - 273*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6561632 and 47571832.\nAnswer: 190287328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 424 or -12?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755*w - 2*s - 30 = -1760*w, -5*s = 2*w - 7*s - 6 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 2. Let s = j - -8. Let b be (-3 - 0 - s) + -49998. Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**21)\/(f*f**0*f)*f**23\/f**(8\/3) assuming f is positive.\nAnswer: f**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*w + 5 + 0 = 0, -100*w = -98*w - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/120039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + (-14 - 16 - (0 - 25))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 4919572*d.\nAnswer: d*(d - 4919572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4860*v + 19435. Give l(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3697408 is divided by 2017?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 + -0.6. Let r = -29.6 - -27. Let y = r + -0.4. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7*o + 480 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*i + c - 58569, 2*c = -3*i + 58636. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+4305\nAnswer: 4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 3*r - 3 = 0, 3*x + 3*r + 12 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2340718 + 25.6444138. Let b = r - 0.413042. Let u = -24 + b. What is u rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69367*-7\nAnswer: -485569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 - 2*w - 2. Let n(b) = b**2 + 17*b - 24. Let k be n(-18). What are the prime factors of u(k)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7539212, 7539225, 7539238, 7539251, 7539264, 7539277?\nAnswer: 7539290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.63872946 + 0.83873022. Let f = o + 2.8. Round f to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -10 + (15 - 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**3 + 372002*i**2 - 11*i - 1184616539?\nAnswer: 15*i**2 + 744004*i - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1042 + -2?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)\/(((-140)\/(-45))\/(-28))*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 98, 226, 408?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128752 divided by -709584?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2. Let z(v) = -6*v**2. Let b = 25 + -20. Let o(p) = p**2 + p - 2. Let u be o(2). Give b*q(s) + u*z(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 32, 52, 80, 116?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 11*p - 18. Let u be n(-6). Solve 11*r - 14*r = -u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:33 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1076)\/807*6\/(-104)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1168*r - 1168*r + r**2. Let z(h) = -116*h. Calculate i(z(b)).\nAnswer: 13456*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/8*-2). Let f = 2269 + -995. Suppose t*p - 1384 = -a, -4*p + 130 + f = -4*a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 28. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + 3987*s + 3985. What is g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755279 to the power of 1\/2, to the nearest integer?\nAnswer: 2785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + 198 + 198 - 347 - 19*s**2 + 194 + 22*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = -2*b. Suppose m = b*j - 86, -j - m - 18 = -2*j. Calculate the remainder when j is divided by 17 + -13*(-17 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -9\/7*s**3 - 2\/7 - 13\/7*s - 24\/7*s**2 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/20 - p**4\/4 + p**3\/2 + 2*p**2 - 3503*p. Suppose -14 = 2*k - 2*o, -k = -5*o - 0*o + 19. Determine y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 2, x: 1, j: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, 31, 84, 135, 184, 231, 276?\n\"Answer: -x**2 + 58*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730 + 0*l**2 - l**2 - 730 + 2*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**3 - 7*h**2 + 4*h - 2. Let r(k) = -7*k**3 + 7*k**2 - 3*k + 3. Let g(z) = -3*l(z) - 2*r(z). Calculate g(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.361 - -0.139. Let j be (-6 + 7)\/(-2 + 69\/6). Which is the biggest value? (a) h (b) j (c) -4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 1 + 1 + (j - 2*j + 2*j)*(-2 - 5 + 5))*(4 - 3 - 2) as x + b*j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216635 and 19339065?\nAnswer: 5855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*g**3*o**2 + 21*g**3*o + 1619*o**2 - o + 2 wrt g?\nAnswer: -30*g**2*o**2 + 63*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:56 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12906 less than or equal to 12904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17578944 and 432.\nAnswer: 17578944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + t = -60. Let u(o) = o**3 + 6*o**2 - 7*o + 2. Let a be u(-7). Solve -t = -r + a*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h = 3*z - h - 107, -4*h = 4*z + 44 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 23 = 11*g - 7*g + 105, 5*g - 85 = -5*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1279657, -2558931, -3838203, -5117473, -6396741?\n\"Answer: c**2 - 1279277*c - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*j + 217 = 0. Suppose 0 = 7*o - j - 4. Suppose -g = 2*g. Solve c = -g*c - o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 53.39908.\nAnswer: 587.38988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -192*c + 695. What is the tens digit of n(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*d**2 - 17*d**2 + 3*d**3)*(-2 + 4 - 3)*(2*d - d - 2*d).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151520017?\nAnswer: 11, 127, 108461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1627572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 - 4*q - 3. Let s be v(-3). Let d = -6 + s. Solve 2*y = d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10349 by -4.\nAnswer: 10349\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - -1) + (-316 - (-417 + 120)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/149730*-42*(-3)\/1*(-20)\/(-12)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.61 + 0.61. Let q = g - 26. Let v = q - -51.22. What is v rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/19 - (213 + -210).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46.8659 or 0.472?\nAnswer: 46.8659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - -3) + (-2 - 0). Suppose -d - d = r, 0 = l*r. Suppose d = 13*o - 19*o + 12. Solve 0 = o*z - 8 - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 3. Let l(h) = -5 + 6 + 2*h - 4 - 3. Let s(g) = 6*l(g) + 11*z(g). Determine s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a + 1. Let r(y) = -17*y - 2. Suppose 0 = -3*l - 0*l + 18. Let n = 26 - 13. Let h(c) = l*r(c) + n*o(c). Differentiate h(k) with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - -1)*244\/6. Suppose -o + 3*o = r. Suppose 0 = -3*p - 8 + o. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 2. Let s(b) be the second derivative of b**3\/3 - b**2 + 10*b + 10. Give -2*j(y) + 3*s(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 2, v: 2, n: 3, t: 1, j: 1}. Give prob of sequence vj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 209 (b) 0.02 (c) 3 (d) -231 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48506888 divided by 24253444.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 + 226*d**4 + 11089*d**3 - 189840*d**2 + 705600*d.\nAnswer: d*(d - 7)**2*(d + 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q - 649. Let h be p(-38). Sort -5, 19, h in ascending order.\nAnswer: -5, h, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 112, 75, 22, -47, -132?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 17*l**2\/2 - l + 226. Give r(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12039 = 3*k + 1485. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (3 - -19 - 18). Put u, 243, -2 in ascending order.\nAnswer: -2, u, 243","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/5 - 10*u**3 - 138*u**2\/5 - 134*u\/5 - 44\/5 = 0. What is u?\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/((-320)\/2080)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-84)\/10)*3928\/(-24550)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*a + 73*a**3 - 13*a**3 - 163*a**2 + 338*a - 67*a**2 - 125 - 5*a**4.\nAnswer: -5*(a - 5)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 7:44 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 14*j + 85. Let v be m(-8). Let r(d) = d**2 + 4*d - 2. Let z be r(4). Let o be (v\/z)\/((-72)\/(-15)). Is -1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - z. Let h be u(1). Suppose 1980 = 60*w + 1800. Sort h, 5, w, 1 in decreasing order.\nAnswer: 5, w, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/3)\/d)*d**(2\/27))**(36\/7) assuming d is positive.\nAnswer: d**(296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*190063.\nAnswer: 380126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:09 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 919.53958869 + 20.84419241. Let y = -930.38378 + r. Let k = -10 + y. Round k to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, x: 5}. Give prob of sequence oxxx.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 127. Let p = r - 68. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555356401 to the power of 1\/3, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 1119230.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 131*w - 1285. What is l(9)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270972200 and 16100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*r**3 - 33*r**3 - 9*r**3)*(4 + 1 - 6) + r**3 + 1 - 1 to w*r**2 + m*r + f*r**3 + g and give f.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.06. Let o = g + -2. What is the biggest value in 2\/9, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*40\/75 - 8\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14455 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100469671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:29 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q + 60. Let r be l(12). What is the biggest value in -9\/2, r, -0.2, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 5*t**2 + 2*t - 6. Let m be h(5). Suppose 63 + 13 = m*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*d**6 + 9*d**6 + 95*d**2 - 11*d**6 - 24*d**3 wrt d?\nAnswer: -240*d**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1133.91 > 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3579473\/40332 + -2\/10083. Let g = -1199\/12 + a. Let n = 147\/5 - 89\/10. Find the common denominator of g and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129755, 129759, 129761, 129761, 129759, 129755?\nAnswer: 129749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 > -15100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by -2*46\/(-8)*(13 + -7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7241, 7243, 7245, 7247, 7249?\n\"Answer: 2*n + 7239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/(-1) - (-4)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59cc95 (base 15) to base 3.\nAnswer: -22002020210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(84\/(-7)) + 139. Put -4, j, 4 in decreasing order.\nAnswer: j, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/10)\/(69\/115))\/((-152)\/8816)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83 (b) 0.3 (c) -3 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117110099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (72806\/354)\/(-1 + 1 + 1). Let b = m - 205. Factor b*x**2 - 2\/3*x**3 + 0*x + 0.\nAnswer: -2*x**2*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -46.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**2*v - 101*n**2 - 12*n*v + 2*n - 583799*v wrt n?\nAnswer: 4*n*v - 202*n - 12*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12890, -12892, -12896, -12902?\n\"Answer: -d**2 + d - 12890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abul when four letters picked without replacement from aaauaababaaaaaluabua.\nAnswer: 13\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1699, -3425, -5151, -6877, -8603, -10329?\nAnswer: -12055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.65772 + -74.01418. Let b = -91.6 - z. Let x = -0.085 + b. What is x rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 18*j**5\/5 - 2*j - 18. What is the first derivative of i(u) wrt u?\nAnswer: 72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, h: 3}. What is prob of picking 1 h, 1 z, and 1 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*b = -919, 2742 = -8*p + 14*p - 4*b. Suppose 3*g = 2*o - o + p, 0 = -3*g - 2*o + 440. What is the remainder when g is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1620 and -53\/86670.\nAnswer: 173340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 146 = 5*q + 21, 177 = -4*s - 3*q. Calculate the common denominator of -19\/8 and 65\/(-39) + (-170)\/s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3463941, -6927879, -10391817, -13855755, -17319693?\nAnswer: -20783631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 + (-296)\/14 + 927\/2163?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 times 40?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2629299*h**3 - 3165612?\nAnswer: 7887897*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-7))\/(813\/(-3794)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 4374 = -6218. Which is bigger: 332 or o?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = -4*r + 1, -2*i - 2*r = -8. Let c be (76\/(-6))\/(1\/(-3)). Let k be c\/(-9) + 2\/9. Sort k, -5, i.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, 40, 178, 386, 670, 1036?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3109, -3085, -3061?\nAnswer: -3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 207\/29 (b) -5 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1*3\/(-1). Let o(w) = w**2 - 6*w - 13. What are the prime factors of o(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9107.61 millilitres in litres?\nAnswer: 9.10761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*s**2 + 5*d**2*s - 7542796*d**2 - 3688821*s + 2 wrt s.\nAnswer: 2*d**2*s + 5*d**2 - 3688821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmkm when four letters picked without replacement from {u: 2, m: 9, k: 8}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -182625 from -0.1.\nAnswer: 182624.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*3\/(-36) - 5\/6. Let r be (0\/1)\/(1\/a). Determine f so that 0 + r*f**2 - 1\/3*f + 1\/3*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/g)\/g*g*g**0*g**(3\/5)*g\/(g**5\/g) assuming g is positive.\nAnswer: g**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*-4 + -3 + 13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*w - p - 1, 5*w + 5*p + 25 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3 - 5934*v - 2*v**2 + 376 + 6302*v + 88*v**2 = 0.\nAnswer: -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(13)*-6 + -5.\nAnswer: -5 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + 8. Let l = t - 9. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 15, -2*y = 2*y - 5*b - 33 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7119 = 50*w + 519. Calculate the highest common factor of w and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2*y - 2*y + y)*(-2*y + 0 + 0)*(-608 + 304 + 291).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 11. Let g be (2 - -7)\/(0 - -1). Suppose 0 = 14*q - g*q + 55. What is the tens digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m = -127*m + 30 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -9\/1633, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17957 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 30 = 4*z. Suppose -5*b - z = -96. Solve 2*p - b = -2*g + 6*g, 2*g + 6 = 4*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*w - 37, 2*w = -w - 5*r - 35. Let z = 5 + -4. Let k(j) = -1 - z - 3*j - 2 + 0*j. What is k(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**2 + 3*v - 1. Let t be g(-1). Let h(n) = 4*n. Let l(f) = f**2 - 12*f. Let k(b) = t*h(b) - 4*l(b). Let p(c) = 22*c. Determine k(p(o)).\nAnswer: -1936*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 3. Let z(a) = -3 - 1 + 5. Let m(v) = -j(v) - 3*z(v). Let g(h) = -8*h. Calculate g(m(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(242) + sqrt(242) + sqrt(242) + sqrt(242)*1 - sqrt(242)))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-11\/3))**(3\/5)*j**(-4\/5)\/j**3)**49 assuming j is positive.\nAnswer: j**(-1323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 35. Calculate the greatest common factor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -14. Suppose c + 2*c = l. Let y be (42 - 40) + 22\/(-12). What is the closest to -3 in c, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3 - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**2 + 4*p + 1. Let r(w) = -2*w**2 + 9*w - 2. Let m be r(6). Let b be (-4)\/(-10) + 68\/m. Give u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 193\/2. Which is the closest to -7? (a) l (b) -4\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -36*d - 853. Calculate b(-26).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47, 95, 143, 191?\n\"Answer: 48*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 11*u + 23. Give k(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18 and 37\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 5354.\nAnswer: -91018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -86. Suppose l = -6*m + 9*m - 54. What is the greatest common divisor of m and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyyymuue. What is prob of sequence eym?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:08 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3120780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -326*a + 1635. Let w be i(5). Let d = -7 - -4. Let m = d + 3. Sort -5, m, w in ascending order.\nAnswer: -5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 - 5*r + 1. Let s be k(-5). Let h = 3 - s. Let a = h - -38. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*((-6)\/((-42)\/7))\/3*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, -28, -162, -350, -592, -888, -1238?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6390 and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90914 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*t - 18 - 10, 12 = 4*z - t. Suppose 4*b + 452*x = 449*x + 2, -3*b + 4*x + 39 = 0. Solve -17 = b*o - 5*d + d, 14 = -2*o + z*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25b (base 12) in base 16?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -473.65, -0.5, 23\/48 in ascending order.\nAnswer: -473.65, -0.5, 0.3, 23\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -12, 276*s - a + 15 = 280*s. Let r be (-3)\/(-9) + 2\/12. Put r, 1\/9, s, 2\/17 in decreasing order.\nAnswer: s, r, 2\/17, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5519538ug to tonnes.\nAnswer: 0.0000000000005519538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-154) + (-116)\/154. Let t be (-3)\/(-10)*2\/12. Sort t, -5, x.\nAnswer: -5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 + r + 5. Let m(z) = -16*z**2 - 2*z - 12. Let o(w) = -3*m(w) - 7*u(w). Let b(s) = 44*s**2 + 22*s - 22. What is -b(q) - 22*o(q)?\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7500020 = -3*h - 4*g, -4*h + 12500020 = h + 4*g. Let r be (3 + -2)\/(2\/h). Round r to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -3, -774, 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (14 - (0 - -2)). Let t = 2 + 4. Let q be (-4)\/(-10) + t\/b. Sort 3, q, -5 in ascending order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*r - 86. Suppose -l + 63 = -r. Suppose -3*v + 28 = -l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273\/8 - -459\/8. Let s be (-42)\/(-8)*(-86)\/5. Let g = x + s. Which is the second biggest value? (a) -3 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13525320 (base 6) to base 2.\nAnswer: 1110000111011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let l(n) be the first derivative of -2*n**3\/3 + 3. Give l(v(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*v + 28 - 2, 295 - 105 = 9*v + u + 182 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18091830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -409, -475, -577, -709, -865, -1039?\n\"Answer: n**3 - 24*n**2 - n - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/34 and -125\/2166.\nAnswer: 36822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhnnjqnnqqgn. Give prob of picking 1 g, 2 q, and 1 j.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 take away 19118282?\nAnswer: -19119686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -26. Let r = 27 - a. Suppose -4294*w = -4308*w + 224. Calculate the greatest common factor of r and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6205 in -41, -20\/7, -0.1, 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187 + 3346 - 83 + 6608 = -291*x for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5152)\/(-483)*(-9)\/(-8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*w - 1464 = 0, -r + 2*w = 43 - 343. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 638, 1238, 1840, 2444, 3050, 3658, 4268?\n\"Answer: y**2 + 597*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 5. Let f(m) = 17*m**2. Calculate v(f(n)).\nAnswer: -119*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8072621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*u**6 - 2*u**5 - 2*u**2 + 136 wrt u?\nAnswer: 54120*u**3 - 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 7*u + 1. Let m(d) = 4*d - 33. Let w(q) = c(q) + m(q). Give w(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -31*p**4 + 16*p**3\/3 + 98. What is the third derivative of c(f) wrt f?\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-32 - 44) + 58.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 - 45096548*y\/13 + 254212330189538\/13.\nAnswer: 2*(y - 11274137)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54780331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 426 - 430. What is the third smallest value in -2\/3, 4\/5, -3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 142, 414, 686, 958, 1230?\n\"Answer: 272*a - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200253370 to the power of 1\/2, to the nearest integer?\nAnswer: 34645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1406 by 1.\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 20*o - 12. Let v be (-216)\/(-20) + 162\/(-90). Give t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496257819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12 + (-340)\/240?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*k + 6 = 0, -5*q + 30 = -k - k. Suppose 4*y = -5*v + v + 392, q*v - 404 = 2*y. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d**2 + 4*d + 4. Let f(u) = 18*u**2 + 6*u + 6. Let y(i) = -i**2 - 30*i - 219. Let n be y(-14). Calculate n*f(m) - 8*p(m).\nAnswer: -6*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 131?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = j - 3*q - 147, -4*q + 448 = 3*j. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 8970.\nAnswer: 645840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 2. Let m(z) = z**3 + 142*z**2 + 12. Let y(u) = -m(u) - 6*o(u). Factor y(q).\nAnswer: -q**2*(q + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(176) - -1*(sqrt(176) + -3 + sqrt(176) + sqrt(176)) - (3 + sqrt(176)*1)) + 1)**2 + 0.\nAnswer: -192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -1.7. Suppose 119*j - 100*j = 76. Put p, 0.1, 2, j in increasing order.\nAnswer: 0.1, p, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 4520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) 3 (d) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 6. Let l(r) = r - 5. Let i(s) = -2*s + 10. Let o(b) = -6*i(b) - 13*l(b). Give -3*j(y) + 4*o(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(420)\/(sqrt(7) - sqrt(7)*-2))\/((sqrt(84)*-1)\/sqrt(7)) + (((sqrt(120) + sqrt(30))*-6)\/(5*sqrt(24)))**2.\nAnswer: -sqrt(5)\/3 + 86\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-30)\/320*-4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91524, 183768, 276012, 368256?\n\"Answer: 92244*d - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*-4 + 214. Let m = -89 + t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117870 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*k - 33, -8*l + 2*k - 6 + 32 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) + sqrt(13) + -1 + sqrt(13) + -4)**2.\nAnswer: -30*sqrt(13) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78030763*a**2 - 6109*a - 7888 wrt a.\nAnswer: 156061526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1019727 divided by -3.\nAnswer: -339909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 4. Let r be o(-8). Let t = r - -23. Suppose -t = -17*s + 18*s. Which is smaller: s or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.19. Let v = -0.11 + p. Let u = 0.2 + -0.3. Is v greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6*r - 18. Solve 2*o = -10, 5*a - o = -r*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1261454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5078 - 6068 = -198*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**3 + 4. Let i(u) = u**3 - 1. Let t(n) = 5*n**2 - 1. Let c be t(-1). Determine c*i(z) + m(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*v = 1082 + 2350. Solve -13*n + v = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11568 and 1483248?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177213122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/(-363))\/((-72)\/66). Is t at most 0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8133808 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 12*f + 1822. Is -6 - 21\/(-3) - f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*y - 0 + 3, -5*a - 5*y + 55 = 0. Suppose 3*p - k = 0, 3*p + 6 = 5*k - 6. What is the remainder when a is divided by 7 - -1 - (0 + p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 7*s**2 + 2*s - 10. Suppose 2*t + w = -w - 2, 3*t = 2*w - 8. Let o be t*(3 + (-3)\/(-3)). What is the remainder when y(o) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421769866 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48777 * -823\nAnswer: 40143471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 31. Suppose -s = -n - 5*f, 3*f - 5*f + 10 = 2*n. Solve -2*a + n*a - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let m(t) = 10*t + 44. Let v be m(-6). Let p be ((v\/(-18))\/(-4))\/(12\/(-27)). What is the closest to 0.2 in u, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1713?\nAnswer: 1713.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1003231 (base 4) to base 9\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, a: 2, q: 3, h: 2}. What is prob of picking 1 h, 1 q, and 2 a?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6, -52, 0.1, 1\/2 in descending order.\nAnswer: 6, 1\/2, 0.3, 0.1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 6. Let t(u) = -5*u - 5. Let y(z) = -6*g(z) + 7*t(z). What is the tens digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 = -5*v + 6, 0 = 2*l + v + 4. Let t be l*1\/6*-6. Solve 0 = t*g + 2*n - 6, -4*g + 2*g = n - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140635800 and 645.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 11:43 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 183, 691, 1683, 3321, 5767, 9183?\nAnswer: 13731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1152738 (base 9) to base 13\nAnswer: -18b843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386 - 388. Let q(j) = -j**3 + j**2 + j - 63. Let f be q(0). Let c be (3 - 2)\/k*(-108)\/f. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467 divided by 1\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6330*a - 455759. Give u(72).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 10*f + 1. Let y(h) = -2*h**2 - 19*h - 2. Let q(b) = -11*w(b) - 6*y(b). What is the remainder when 37 is divided by q(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -25, 136*i - 146*i + 30 = -4*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = -4. Let q = t - -6. Find the second derivative of 45*s**4 + 32*s**5 + 16*s - 45*s**q wrt s.\nAnswer: 640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (1 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {t: 3, p: 3, e: 3, f: 2, q: 1, m: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9*(-10 - -1). Suppose -4 = z - j*z. Suppose z*q = -0*q + 4. Solve 0 = m - q*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 16, -5*r - 3*y - 118 = -0*r. Let m be 8\/(-36) - r\/36. Factor -1\/2*z**2 + m*z**4 - 1\/4*z**5 + 0*z**3 + 1\/4*z + 0.\nAnswer: -z*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1106*g - 660. Determine r(-1).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 = 24. Calculate the remainder when 4 - 1*(-6 + -20) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 + 58 = -5*r, -2*h - 5*r = -55. Let f = -41\/2 + h. Let v = 4.16 - 0.16. Put 1\/4, f, v in increasing order.\nAnswer: f, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y**2 - 1375*y + 1377*y + 44*y**2 + 46*y**2.\nAnswer: 130*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - 13*m - 2445 + 2*m**2 + 2443 as v*m + z + t*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**3 + 1 - 4 + 3.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*i**2 + 0*i + 94 + 203*i**2 - 4*i - 440 - 403*i**2 in the form s*i**2 + n*i + b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4318, -17115, -38192, -67345, -104370, -149063, -201220, -260637?\nAnswer: -327110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10304, 20675, 31088, 41567, 52136?\nAnswer: 62819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1407762 and 1407765 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-847)\/2541*63\/1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 35*t = -2*t + 270 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**4 - 1\/30*y**5 + 0 - 2*y**2 + 0*y**3 + 0*y. Let d(s) be the first derivative of -2*s**3 - 104. Calculate d(z(v)).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -51. Suppose 4*b - 70 + 22 = n. What is the lowest common multiple of 6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 1:13 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1466600 and 30440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 65*z - 40. Let v be r(4). Let j be 60\/(-9) + (-2)\/(-3). Let m be (2*15)\/(j\/v). Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 197, 125, 5.\nAnswer: -88, 5, 125, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bblbbblbbbbb. What is prob of picking 4 b?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011101110010 + 0?\nAnswer: 1101011101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 109032.\nAnswer: 2725800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 688 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5081973.\nAnswer: 3, 13, 130307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 100 + 128 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 263, -1, 1, -2 in increasing order.\nAnswer: -2, -1, 1, 36, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1348998 - -1347002. What is a rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c + 14 = 3*d, 5*c - 3*d + 16 = 0. Let n be (31 - c)*(1 - 0). Let g = -30 + n. Calculate the remainder when 9 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 0 (c) 12 (d) -4 (e) -12421\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167075*a + 167076*a + 68*a**2 - 52*a**2 - 25*a**2.\nAnswer: -9*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*j + 22, 5*j + 2*x = 3*j + 16. Solve -5*d = 10 + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85329584 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*c - 41*c - 37*c - 20 + 116*c to the form d + b*c and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 18*r**2 - 35*r - 142. What is x(-16)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6\/11, -1, -48 in increasing order.\nAnswer: -48, -4, -1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or 1247602?\nAnswer: 1247602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxbbxzbbbxxbxxl. What is prob of picking 1 l and 3 b?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1403220?\nAnswer: 1403224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(117) - -3*sqrt(117)*-6 - sqrt(117)) + sqrt(117))\/sqrt(9) + (sqrt(1300) + sqrt(1300) + 3)**2 + 5).\nAnswer: 515*sqrt(13) + 26070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:53 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(475) + 1 - sqrt(475)*-2*-2 - (-4 + (sqrt(475)*-2 - sqrt(475))*3))**2.\nAnswer: 480*sqrt(19) + 17164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2800.7076 months?\nAnswer: 0.2333923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*c + 9*c - 36*c + 77*c)*(-11 + 11 - 16*c**2).\nAnswer: -3312*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 4. Let q be z(6). Let k = -1115\/7 + 159. Let f(n) = -n**2 + 7*n - 5. Let x be f(6). Sort x, q, k.\nAnswer: k, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 7\/60*s**5 + 0*s + 0*s**3 - 8*s**2 - 1\/2*s**4 + 0. What is the second derivative of i(p) wrt p?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 3, q: 3, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 - -1.7. Let x = 5 - 3. Let u = a + x. What is the closest to u in 2\/3, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 283 and 2265\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/30)\/((-1)\/(-175)). Let w be -1 + -4 + (1 - 38). Let z = x - w. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1783, 7161, 16135, 28705, 44871?\n\"Answer: 1798*s**2 - 16*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p = 2*v - 418, 4*v = 8. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22202.\nAnswer: 2, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 + 166. Suppose -s*w + 336 = 72. What is the least common multiple of 8 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 320 - 276. Let f = n - 42. What is the second smallest value in f, -3, -16, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d + 4. Let n(v) = v - 6. Let a be 3 + (-2 - (1 - 6)). Let j be n(a). Calculate s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 7. Let c be j(0). Solve -9 - c = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 284 + 372 = 0. Let m = z - -85. Let r(n) = -2*n**2 - 2*n - 4. Calculate r(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40231, 40233, 40235?\nAnswer: 40237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o**2 + 1863 + 4*o**2 - o**2 + 8*o**2 + 11141 in the form x*o**2 + t + f*o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -46. Let j be l\/(-9) + (-40)\/(-12). Find the third derivative of 3*n**2 - j*n**2 - n**2 - n**2 - 16*n**4 wrt n.\nAnswer: -384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 4, e: 8}. Give prob of picking 2 e.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 20*s**2 + 1136*s - 4567. Calculate the remainder when b(4) is divided by 91.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from {z: 1, u: 1, s: 13}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-8))\/((-3)\/12). Let p be -2 - g - (-4)\/(-2). Let t = 123\/20 - 32\/5. Which is the nearest to 0.1? (a) p (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(8\/840*30)\/((-36)\/14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.1 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291 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: Solve -222*n + 491 + 429 = -127*n + 65 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477329 is divided by 2727.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 7907464*o - 3907999181956 = 0.\nAnswer: -988433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v = 42*v + 110. Let i = v - 20. Let n(k) = k**2 - 4*k - 3. Let r be n(5). Solve -21 = -4*z + g, -i = -z - g + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-36)\/192)\/(21\/(-364))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8874 and 20?\nAnswer: 88740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and (11\/(-33))\/(2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.16, 3152.33?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*sqrt(2430)*-1)\/(-6*(sqrt(100)*-2*-5 + sqrt(100) - sqrt(100))\/sqrt(10))*4)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 109. Suppose z + f*p - 6 = 2*p, 4*p + 48 = 4*z. Suppose 5*l - 5*k = 40 - z, -2*k = 0. Solve -3*o + l = 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 + 4*o + 6. What is k(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 + 1.3. Let z = v - -0.23. Let f = z + -0.23. Put f, 0, -1 in ascending order.\nAnswer: -1, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m - 3. Let u be 5 + (-1 + -1)*1. Let x be a(u). Suppose 4*h - 232 = -x. Round h to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3*z + 70 = 0. Let g(k) = -k + 2*k + 32*k**2 + 2 - 9*k**2 + z*k**2. List the prime factors of g(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v + 8. Let g(c) = 19*c + 14. Let h(a) = 4*g(a) - 7*s(a). Let m(t) = 82*t - 1. Calculate h(m(q)).\nAnswer: -82*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18262381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let p(u) = u**2 - 4*u + 5. Let s(f) = -p(f) + 3*x(f). Let n be s(6). Let k = n - -84. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 5\/7, -1, -25, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*w = 2*w - 194, 0 = -2*w + 6. Let p = v - -91. Suppose p = -2*c + 26 + 2. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from csscscc?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 3480 = 3701 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 153 = -30*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 16. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f\/(f\/(f**(-20)\/f)*f))*f)\/f)\/f)\/f**29*f**32\/(f*f\/(f*((f*f\/(f\/((f**(-42)*f)\/f)))\/f)\/f)) assuming f is positive.\nAnswer: f**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/16812 and 115\/1333752?\nAnswer: 4001256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 78 + 70)*(-4*s**2 + 4*s**2 + 7*s**2)*(2 + 3 - 6).\nAnswer: -322*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/60 - r**4\/8 - r**3\/6 - 6*r**2. Suppose 0 = -l - 2*a + 7, a = 5*l - 2*a + 30. Give x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/2 - 13*y**2\/2 + 2*y. What is the first derivative of n(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfewhwex. What is prob of sequence hx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 4, i: 2, f: 1, j: 1, h: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:38 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/12 + 2*i**3\/3 + 5*i**2\/2 + i. Let d be r(4). Suppose 3*b = -x - 2*x, 5*x - 4 = -b. Solve 2*w + x = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3215 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 3*v**3 + 8334*v**4 - 46*v**2 - 1 - 4*v**3 - 8350*v**4 in the form g*v**4 + k*v + i*v**2 + y + j*v**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 46\/371 + 27751\/18550. Find the common denominator of w and (-6)\/(-3) - 303*(-2)\/(-84).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -15?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 1445*g**5 + 3570*g**4 + 1440*g**3 + 160*g**2 = 0. What is g?\nAnswer: -2, -4\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*p*v**2*z**2 - 17*p*v*z**2 - 2*p*v - 2*p*z**2 - 1230*v**2 - 2*v wrt z.\nAnswer: 88*p*v**2*z - 34*p*v*z - 4*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 3. Let m be a(-5). Let l(v) = -3*v + 25. Let n be l(7). Solve 0 = -n*w, -i + 4 = w + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1776, -6852, -15236, -26934, -41952, -60296, -81972?\n\"Answer: -l**3 - 1648*l**2 - 125*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*l + 13*l + 11*l)*(11*l - 4*l + 18*l) to the form d + t*l + c*l**2 and give c.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**2 + 4*q + 3*q**2 - 5*q)*(1 - 2 + 3).\nAnswer: 24*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 14\/(-4). Suppose 4*c - 5 = -4*c + 11. Solve 5*m - 3 = h*u - 4*u, -c*u = -3*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, 5, -3.346, 3\/8, 1\/16 in decreasing order.\nAnswer: 5, 3\/8, 1\/16, -3.346, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*j = -32, -31 = -4*c - 5*j + 182. Calculate the remainder when c is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205 divided by 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, 262, -1\/4 in ascending order.\nAnswer: -4, -1, -1\/4, 2, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = -57 - 132 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 1. Let u = -0.95 - 0.05. Let r = 3 + u. What is the third smallest value in r, 0, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from tttjttztztzcrcgtttt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**4 - v + v + 0*v + 2*v**4 + 0*v + (5*v**2 + 4*v**2 - v**2)*(v**2 - v**2 - 5*v**2) as f + x*v + o*v**3 + y*v**4 + d*v**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*u + 4*h - 6 = 0, -6 = u - h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5039 * 1015\nAnswer: -5114585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6164*c**3 + 1554*c**3 - 15656*c**2 + 15656*c**2 - 17 + 16 in the form l*c**3 + i*c + t*c**2 + q and give l.\nAnswer: 7718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 8*v - 7*v - 124, -344 = -3*w + 4*v. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 13*j**2 - 13*j + 20. Let u be (4\/10)\/((-4)\/140). Let t be l(u). Is (t*2\/4)\/(1\/13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + -79?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*r - 11 = 0, -7*s + 9*s - 4*r = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + -1.2. Let h = 5 + 0. Let v be ((-9)\/18)\/(1\/(-6)). What is the third smallest value in w, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3 - 143266*g**5 - 3*g**3 + 2044*g**2 + 142129*g**5 + 302*g**2 wrt g.\nAnswer: -68220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 537554994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p**2 + 76*p**2 - 151*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 11) to base 3\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -548387.\nAnswer: 101\/548387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z - 2. Let i be u(-7). Let g = 0.1 + 2.9. Which is the smallest value? (a) 6\/11 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and -0.036.\nAnswer: 3.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaglawawalla. What is prob of sequence llll?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*w - 5697 - 4626 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:24 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1289475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -80*d + 105*d. Is d smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25642366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 - 640. Let l = m + 1886\/5. Let v be ((-2)\/4)\/(15\/(-110)). What is the biggest value in l, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 482322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let r(d) = 11*d - 14. Let b(n) = 2*a(n) + 2*r(n). What is the derivative of b(s) wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239104903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:25 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, -2, -3121?\nAnswer: -3121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6397 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46a7027 (base 11) to base 5\nAnswer: -4100131211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 212 = -3*v, -5*v = 3936*b - 3934*b - 330. Let q be (-6)\/9 - 10950\/(-9). What is the highest common divisor of q and v?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let a be 1\/o - (-18)\/4. Solve 0 = -a*z - 16, -5*m = -3*z - 13 - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43256 and 6?\nAnswer: 129768","meta":{"dup_signals":{},"source":"numbers__lcm_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: Rearrange -1724*i + 1703*i + 2 + 1 + 1717*i to the form m + r*i and give r.\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 203156807, 406313616, 609470425, 812627234?\n\"Answer: 203156809*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*f = 9*g - 30, f = 4*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -11. Let c = 4 + -4.3. What is the nearest to -0.1 in c, 0.4, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1333, 2943, 5629, 9391, 14229?\nAnswer: 20143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 77125 = 3*y + 76916, 4*y + 4*u = 76 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -591*z**2. Let w(g) = 15847*g. Determine w(r(p)).\nAnswer: -9365577*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = -5*y + 20, 4*y = 3*c + 20. Let h(r) = 23 + 5*r - 4*r**2 + 5*r**2 - 5*r. Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 2*k + 2. Let c be x(3). Suppose c = 3*o + o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 - -3)) + 0 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4, 655, -0.2, 4\/27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - -18 - (-2 + 36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*g - m, -2*g - 5*m + 46 - 20 = 0. Suppose 5*a + g = 43. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -18*b + 3. Let l(o) = -49*o + 8. Let w(i) = -8*j(i) + 3*l(i). Let r(q) = -11*q + 2 - 5 + 3. What is r(w(s))?\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**2\/2 - 3*t - 1. What are the prime factors of c(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Suppose v = -3*l + w - 6, 2*l + 5*w - 15 = -2. Suppose 3*q = -2*c - 4, -3*c + 6*c = -q + 1. What is the closest to 1\/2 in l, -4\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1751 in -5\/4, 105\/2, 0.3?\nAnswer: 105\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1249, -5, 0.3, 2, -4, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47579*d + 33 = 47590*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {j: 3, a: 3, z: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 873*u. Let h(s) = -696*s**2 - 1. Calculate x(h(z)).\nAnswer: -607608*z**2 - 873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 1\/252*y**7 + 0*y**5 - 1\/36*y**3 + 0*y**2 + 1\/90*y**6 - 55*y + 0 - 1\/36*y**4. Suppose l(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/5 + 8\/(-20))*(5 - -86). Calculate the greatest common divisor of 2366 and a.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1609, 834, 125, -512, -1071, -1546, -1931?\n\"Answer: o**3 + 27*o**2 - 863*o + 2444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 - l**2 + l**3 + 23545866*l - 23545866*l. Suppose 3*u - 37 - 23 = 0. Let r(q) = 4*q**3 - 5*q**2 - 5. Give u*v(t) - 4*r(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7769 - 7466. What is the greatest common factor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (sqrt(1300) - (sqrt(1300)*6 + -3 + sqrt(1300))**2) + -4 - ((sqrt(39) + 1*sqrt(39)*5)\/(sqrt(3) + sqrt(54)\/sqrt(2)))**2.\nAnswer: -254969\/4 + 440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (41565\/700)\/(-17) - -8 - (-5)\/(-4). Is f greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3184454)\/(-70) + (-2)\/10. Suppose -16 = 4*v, -5*t - v = -3*v + c. What is t rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/6 + 22*h. Let p(c) = c**3 - 8*c - c - c. Let w(a) = -p(a) + 2*x(a). What is the second derivative of w(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*j = 17209, -11*j + 10 = -6*j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*c = 5*b - 554*c + 240, 3*b - 3*c = 90 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:16 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -472280 and -472264 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/56 - 215\/168. Which is the second biggest value? (a) -9\/2 (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.043 not equal to -0.896295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 4*g - g**3 + 9*g - g - 7 in the form v + m*g + i*g**2 + z*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -60, -91, -122?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38309 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 145940240*x + 145940236 = 0. What is x?\nAnswer: 1, 36485059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2\/5*m**5 - 4\/5*m + 0 + 6\/5*m**2 - 6\/5*m**4 + 2\/5*m**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daowlov. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -g + 34, 3*l - 98883293 = 2*g - 98883251 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1014*b + 715 with respect to b.\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*d - 22*d + 81*d + 38*d - 7*d**2 as b*d**2 + v*d + c and give v.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(539) + (-3*sqrt(539))**2*2 + 5 + sqrt(539)*-1 + -1.\nAnswer: 9700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -19\/3*l**2 - 361\/3*l - 16 - 1\/9*l**3. Factor p(t).\nAnswer: -(t + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2 + (-32)\/(-15)). Let y be 70\/i + -5 - 26\/(-114). Let u = y + 44\/57. Put -4, u, 0.06 in decreasing order.\nAnswer: u, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*k + 171 = 965 + 133 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 85*c**2 + 25*c - 25. Let d(m) = -21*m**2 - 6*m + 6. Let s(x) = -25*d(x) - 6*l(x). Let i(j) be the first derivative of -j**2\/2 + 8. Give i(s(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -7)*2\/3. Let u(l) = l**3 - 2*l**2 + 2*l - 3. Calculate u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/(-72) - 2)\/((-10)\/4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -39 + (3460 - 3441).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7591, 15069, 22545, 30019, 37491?\nAnswer: 44961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 2*k + 1. Let b be (2 - 0) + -1 + 3. Let i(g) = -5*g**2 - 9*g + 5. Let s(w) = b*i(w) - 18*u(w). Let s(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 c when three letters picked without replacement from iiuuujfbccicfififbif.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/2 - 66*x - 2178 = 0.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78038 - -78038.000151914. Round u to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200058266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 48*p**2 + 124*p - 202. Let g be t(39). Is g greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-20))\/(7\/(-35))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(8\/5304) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -6, 1\/1683, -0.024 in increasing order.\nAnswer: -6, -0.024, 1\/1683, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (50 - 20)) + 39\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -22.8. Let t be 4\/6 + (-4)\/(-3). What is the third smallest value in -0.3, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Let j = -30 - -33. What is the nearest to j in 2, v, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 15*s + 6*s)*(4*s - 4*s + 8*s)*((1 + 3 + 0)*(0*s + 3*s - 2*s) + 7 - 2*s - 7) in the form n*s + g*s**2 + f + b*s**3 and give b.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 + 10*d - 25. Calculate z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + (sqrt(400) - (-4*4*sqrt(400) + sqrt(400) - sqrt(400))))\/sqrt(8))\/(sqrt(40)\/(sqrt(144)\/sqrt(4))).\nAnswer: 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*36\/(-8). Suppose 0 = 5*u - 25, -2*v - 2*v + 43 = r*u. Find the third derivative of 3*b**2 - 7*b - b**4 + v*b wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2528 + 5242. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030 + 11?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1515*k = -1493*k - 669262. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 + s - 1. Let r be i(2). Let p = -14.35222 - 0.64778. What is the closest to -0.2 in -0.1, r, p, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x - 5. Let q be k(-4). Let l = -2 - q. Let w be (0\/1)\/(l + -1). Solve w = -a + z + 2, -z - 7 = -2*a - 2*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 5*f - 1. Let b be y(-5). Sort -2, 1, b, 14.\nAnswer: -2, b, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 - 0.2. Let w = s - 3.06. Let h = 1.3 - -2.7. Which is the closest to -0.1? (a) w (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = -4. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by (-25 - -23) + (-30)\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + c**4 - c**4 + (-c**2 + 12*c**2 + c**2)*(-2*c**2 + 2*c**2 + 2*c**3) - 36 + 36 + 63*c**5 - c**5 - 1 + 1.\nAnswer: 87*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/(-4))\/(-9))\/(7\/(-2)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277644, 277646, 277648, 277650, 277652, 277654?\nAnswer: 277656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8450895, -16901789, -25352683, -33803577, -42254471, -50705365?\n\"Answer: -8450894*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470624\/(-132))\/(-56) + (-387)\/(-27)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5508 and 5544261?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.3 (b) -0.5 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 8, 268.\nAnswer: 8, 43, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-7 - -14) + -10 - (-47 + 17))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*i = 0, -5*i + 24 = -o + 2*o. Let u(v) = 6*v**2 - o*v**2 + v - v. Let m(n) = -2*n**2. Determine m(u(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - 93 + 93 + (-3 + 3 - 2)*(0*z + 5*z - 4*z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 2*q**2 + 0*q - 4*q**2 + 4*q**2 + q**2 + (-5*q + 4*q + 3*q)*(2*q - 4*q + q) + 3*q**2 - 7*q**2 - 21*q**2.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*x - 14, -2*x + 4*p + 8 = 2*p. Sort 1, -0.1, x, -5 in ascending order.\nAnswer: -5, -0.1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 - (-312)\/14. Find the common denominator of -7\/9 and 333\/44 + 4\/p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:05 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.25, -3, -5, 3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 - 2*h**2 - 4*h + 5. Let r(k) = -3*k**3 + 3*k**2 + 5*k - 4. Let m(w) = 5*j(w) + 4*r(w). What is the tens digit of m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -102203, -5, -30 in increasing order.\nAnswer: -102203, -30, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i**2. Let x(w) = 75*w - 12*w - 18*w - 20*w - 33 - 22*w. Give x(j(k)).\nAnswer: -57*k**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 29. Let k = -11 - -8. Let c = i - k. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 1291*i - 221891. Determine k(204).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(1539))*6 - -6*(-1 + 1 + sqrt(19) + 0))**2*5.\nAnswer: 34200*sqrt(19) + 1239120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -63c4 (base 13) to base 5\nAnswer: -420344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:21 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -76. Let o be (g\/(-20) - 2)\/1. Is o <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -14*r + 471. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 1. Let s(k) = -k + 8. Let o(u) = -u**2 - 126*u - 1266. Let r be o(-11). Give r*s(n) - 6*j(n).\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*c - 129 - 9 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 15 = -2*f. Suppose 2*h = 4*g + 12, -2*h + 22 = -2*g + 3*h. Let t be (-4)\/(-4 - 2*g). Solve -t*n - d - 5 = -0, f*n + 4*d = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6084a + 5b?\nAnswer: -607ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1986, 6325, 18078, 40947, 78634?\nAnswer: 134841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 15 - 5 = 0. Let h(t) = -5*t**b + t**3 - 5*t**2 + 4*t + 5*t**2 + 3. Let r be h(4). Solve 0*o - 15 = 3*o - 2*p, 3*p = -r*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/10)*n*n*n\/(n*n*n**(-18\/7)*n)*n*(n\/(n**(9\/7)*n))\/n**(4\/11) assuming n is positive.\nAnswer: n**(1711\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4\/6 - 10550*z**3\/3 + 216965*z**2\/2 - 3353950*z\/3 + 11519750\/3 = 0.\nAnswer: 10, 11, 4189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/10*(-105)\/14. Suppose y = -0*z + 2*z. List the prime factors of (-4 - -7)\/(z\/46).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*h**3 - 19*h**3 + 25*h**3 + (0*h**3 - 3*h**3 + h**3)*(0 + 0 + 1).\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23194.\nAnswer: 2, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, 6, 0, -167, 3.\nAnswer: -167, 0, 3, 6, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/4 - 104*m**4\/3 + 44*m**3 - m**2 - 2512*m. Find the second derivative of q(f) wrt f.\nAnswer: 30*f - 832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25942553 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1048788\/14985 - (111 - 41)?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.34, -4, 95\/5108?\nAnswer: 95\/5108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 n, and 1 l when three letters picked without replacement from {t: 1, e: 1, n: 5, l: 4, k: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-4) - -186 - 0\/(-2). Let h = 182 - v. Solve -5*m - 7 = h*b, -m - b = 2*m + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 247?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**2 + g - 8. Let m(s) = -7*s**2 + s - 5. Let x(c) = -8*m(c) + 5*y(c). Let n(w) = -2*w**2 + 6*w. Give 4*n(d) + 9*x(d).\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/45)\/(10\/(-120))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -4)\/((-2)\/(-502)). Let q = -109 - w. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8*w = 7*w + 707, o + 2*w - 136 = 0. Let x = -141 + o. Let v be (-3)\/(-3*257)*-2. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 >= 2244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*z**3 + 236*z**3 - 486*z**3 - 138*z**3.\nAnswer: -673*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*n = 136, 3*u + 172 = 6*u - 4*n. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7545 + x - 3*x**2 + x**2 - 7545.\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 4666764?\nAnswer: 4666747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 700282019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/13 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z - 6. Let g be 52\/(-14) - 2\/7. Suppose 0 = -5386*s + 5355*s + 403. What is the remainder when f(g) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3791324 weeks in nanoseconds?\nAnswer: 229299275520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlzh when four letters picked without replacement from {s: 2, l: 1, h: 1, y: 1, z: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29016.24966 + -29016. Let g = k + -0.25. What is g rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.829 - 0.033. What is q rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(500) + 0 + -1)**2.\nAnswer: 40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2147444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 + 319 - 319)*(-2 - 2 + 3)*(-b + b - 2*b).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37 and -2129975.2?\nAnswer: 2129938.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*d**2*u**3 + 52*c**3*d**2*u - 2*c*d**2*u**3 - c*d**2*u**2 + 2*d**2 - 12*d*u**3 wrt u?\nAnswer: 6*c**3*d**2 - 12*c*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4416303353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*u**2*w + 612*b**2*u - 41*b*u**2*w - b + 2*u**2 with respect to w.\nAnswer: 2*b**2*u**2 - 41*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 651971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13422*f**2 + 13510*f**2 + 2 - 2.\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 + -171. Is -3 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 4. Let v be (-2)\/9 + ((-1906762)\/117)\/22. Let u = v + 739. Determine b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -813 - 106. Let m = -918.99999561 - w. Round m to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/4 + 1406643*b**3\/4 - 4219893*b**2\/2 + 4219881*b - 2813250 = 0 for b.\nAnswer: 2, 468875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.9205t to nanograms.\nAnswer: 56920500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25402146*h - 29646430 wrt h?\nAnswer: -25402146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37 and -53708.\nAnswer: -53671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3383 in 5, -2\/5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4923996, 4924083, 4924170, 4924257, 4924344, 4924431?\n\"Answer: 87*x + 4923909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 2*b + 4 = 0, -4*b = -3*j + 8. Suppose j*x - 49 = -x - 3*y, 0 = 4*x + 5*y - 231. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*k**2 - 1726*k**2 + 1449*k**2 - 1804*k**2.\nAnswer: -3288*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 5*p - x - 46, 6*p = -13*x + 126 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42166360 rounded to the nearest ten thousand?\nAnswer: -42170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/46 and 41\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**3 - 36*s + 16*s**3 + 18*s + 18*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*d - 800776 = -800288 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65\/1075522 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 183629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4214383 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5109947 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-2 + sqrt(396))**2 + -3.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403*b**3 - b - 1396*b**3 - 3*b + 4*b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 210 = 10. Suppose 0 = s + 4*n - 107 - 19, -607 = -5*s + 3*n. Let v = s + r. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96.578 and -1.73?\nAnswer: 167.07994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = 0, x - 37 = 3*f - 188. Solve f = -9*k - 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -3.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -1, 3, 9?\n\"Answer: m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/4 and ((-14)\/21)\/(10\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3373.17 to the nearest 10.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 171, 0, 5, 33.\nAnswer: -5, -1, 0, 5, 33, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.184\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -103*d**3 + d**2 - d + 6. Let p be u(2). Let k = p + 4913. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6236 is divided by 3107.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2720, -2254, -1442, -278, 1244, 3130, 5386?\n\"Answer: s**3 + 167*s**2 - 42*s - 2846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuuou. What is prob of sequence oo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/49, 1, -7\/6, -1\/5.\nAnswer: -7\/6, -33\/49, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18910, -37505, -56100, -74695?\nAnswer: -93290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, 2, -3 in increasing order.\nAnswer: -3, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5986530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f*f)**(-22)\/(f\/((f\/f**(-2\/9)*f)\/f))**(-26\/7) assuming f is positive.\nAnswer: f**(-3748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/16 + (-9)\/(-4). Suppose 0 = -2*s + 35 - 31. Differentiate 6*m**s - 9 - 19*m**2 + 14*m**p - 7 with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.007 greater than -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29216 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -414*v - 1240. What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 2*t**2 + 3*t + 2. Let c = -5 + 7. Suppose 0*a = c*a + 4. Let o be h(a). Solve o*j - 2*z = z + 19, 0 = 3*j + z + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3780689 is divided by 1279.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5 + 5 + 0 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/3)*i)\/i)**(-33)\/((i*i**(-1\/4)*i)\/i)**(-38))**(1\/10) assuming i is positive.\nAnswer: i**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = 11. Let k(u) be the second derivative of 1\/6*u**3 + 2*u**2 + 0 + 4*u. Calculate k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -19. Suppose -t = -6*v + 6. Suppose m + 3000000 = -v*m. What is m rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*((-3 + sqrt(4400))*-3*-1 + -1) + -3)**2.\nAnswer: -682560*sqrt(11) + 22865769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87238 + 13?\nAnswer: -87225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2228)\/(-41775))\/(((-6)\/20)\/(3\/(-4))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*-1*342\/(-2280).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 13. Let z be ((-3)\/4)\/((-3)\/f). Suppose n = z*n. Solve n = 3*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r = 3*r - 335 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 896697.919 to the nearest ten thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**3 - y + 1. Let v be m(1). Suppose -2 = -4*x - v. Let u = 2 - x. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - 2*l = -21*y - 15, -7*y + 37 = -3*l. Solve -75 + 47 = y*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.9, 3410, 1, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 9, f: 2, s: 4}. What is prob of picking 1 s and 1 w?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1.49.\nAnswer: -0.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 63368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 3 + (-12)\/(-42)*14. Let x(i) = i - 4. Let z be x(5). Let b be 24\/20 + (0 - z). Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 1039497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9296 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 29829?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.801 and -0.215?\nAnswer: 0.602215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29306414.22 + -29306381.01999726. Let p = -33.2 + r. What is p rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 11 - 132*z**3 - 1024*z - 5275*z**4 - 11 + 5279*z**4 + 1152*z**2 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 10*s**3 - 24*s**3 + 0*s + 8*s**3 - 4*s.\nAnswer: s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101101010011 (base 2) in base 6?\nAnswer: -331111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -3. Let t be (2 - 1)*3 - -1. Let n be (-9)\/(-6)*t\/(-51). What is the closest to 0 in -0.2, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -1\/7 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.016 - 0.016. What is the second smallest value in 0.5, 6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 divided by 3?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:23 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3142 + 3165. Solve -3*d = -2*o + g, -4*d - 29 = d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*n + 91, 2*y - 5*n = -8 + 32. Let l = 254 + -255. Let p = y + l. Solve -g = 4*u - 2*g - 12, -4*g + p = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2020 + -1437. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let x(t) = 1371*t**2 + 3*t. Calculate x(v(g)).\nAnswer: 5484*g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -41*p + 1. What is t(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 13*d + 180. Let i = 9 + d. Suppose 11*k - 128 + 13 - 81 + i*k - 4*k**2 = 0. Calculate k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((7 + 1)*1)\/(-1)*-1. Suppose -27 = -s + 2*d + d, -2*d - c = 0. Calculate the remainder when 29 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5463 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23133 = -14*x + 1213. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -3. Let a be 1\/(2\/(-10))*q. Let c = 45 + a. Solve 4*n + c = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.167 + -2.167. Let m = 1.5 - 1. Sort m, -2\/7, l.\nAnswer: l, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 less than -2\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/4, -0.045, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002097046 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*m**3*v + g*m*v + 4*g*m + 125*m**4*v + m**2*v wrt m.\nAnswer: 6*g*v + 3000*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*y - 3082*y**2 - 12 + 211*y**2 + 161*y + 51*y - 3267*y**3 = 0. Calculate y.\nAnswer: -1, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(-5 + -1 + (sqrt(243) + 1)**2) - (sqrt(243) + -1 + 5 - (0 + sqrt(243) + 1)**2)*6).\nAnswer: 144*sqrt(3) + 2630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38688898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -468*s + 1328*s - 499*s - 423*s + 3100 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 219*b - 10 = -213*b, -5*a - 20 = 5*b for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:12 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 7*g = 3*y + 28, 0 = -g + 5 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = 0, 4*h - 2*h - 2208 = 4*y. Let i = -340 - y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1409*a**3 + 1372*a**3 - 2758*a**3.\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - (-5 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679\/21 - (-2)\/6*2 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1051 (base 6) to base 16.\nAnswer: -f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3*(3 + sqrt(300) + -2 + sqrt(300) + 2 + -2 + sqrt(300) + 1 + -3))*-1)**2.\nAnswer: -1440*sqrt(3) + 24364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 668553134291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 18a?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 188683 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 9*c**2 - 7*c + 16. Let s be l(7). Calculate the highest common divisor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 32730?\nAnswer: 32731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r. What is the tens digit of (-26)\/2*-1 - r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18189 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100 - 202202112?\nAnswer: -210002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, 1612, 7111, 17794, 35389, 61624?\nAnswer: 98227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {z: 1, w: 4, h: 4, o: 3, g: 1, x: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(272) + 2 - (sqrt(612) - sqrt(612)*1)**2)*2.\nAnswer: -48*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414045 is divided by 17954.\nAnswer: 13633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.79 and -5.155?\nAnswer: 6.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359726 and 310298?\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhiwwh. Give prob of picking 1 i and 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.99 + 0.01. Let s = -8 + g. Which is the second biggest value? (a) 0 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*b**3*c**2*n + 58*b**3*c*n - b**3*c + 47*b**2*c**2*n + b*c*n + 2*b*n - 2*c wrt c.\nAnswer: -36*b**3*n + 94*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24567 or 26744?\nAnswer: 26744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121312304 - -1021?\nAnswer: -121311233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 3*g)*(5 + 1 - 3) + (-3 + 2 + 2)*(g - 3*g + g) + 16*g + 37 - 37.\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1219 - 1219.002162. What is m rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 9:11 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 76*p - 62605. Give m(-291).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10234 - 3914 = -10*b + 14*b. What is the greatest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3991726 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6244 or 2478?\nAnswer: 6244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from oyysaoyoaooo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - z + 2*z + (2 + 0 + 0)*(z - 2*z + 2*z) + 0*z + z + 0*z - 24 + 9*z - 8*z + 16.\nAnswer: 3*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14799693 is divided by 17939?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.872 - 3.275.\nAnswer: 63.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1177 divide 914857383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 52*u = -48*u - 53, u - 38 = -4*f. Suppose f*i + 168 = 195. What is the highest common factor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 2*o + 2*o)*(-3 - 25 + 4).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 4.2. Let k = -0.4 + u. Let b = -7\/4 + 5\/4. Put -4\/5, b, k in increasing order.\nAnswer: k, -4\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16390087 is divided by 1091.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 - -373. Let g = i + -108.1. Which is the closest to g? (a) 0 (b) -3\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*k + 25 = 0, 5*v - 4*k + 13 = -2. Let j be (((-106)\/(-110) - v)*-10)\/2. What is the nearest to 0.1 in 0, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -784197 and -784189 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s**(-3)*s)\/s)\/s*s*s*s*s*s**(-1\/5))\/((s\/((s*s\/s**6)\/s))\/(s*s**2)) assuming s is positive.\nAnswer: s**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2020 + 1172. Let p = q - -853. What is the nearest to 0.1 in 2\/7, -29, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.53 rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2647, -0.3, 1, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2100 + -5?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/((-5)\/3*36\/30). Let w = -144 - -142. Which is the second smallest value? (a) g (b) -0.1 (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 8:21 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(4 - (110\/15 - 3)). Suppose -4*d - 24 + 252 = y. Calculate the remainder when 165 is divided by d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15867023 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j + 3*j**2 + 4 - 2 + j**2 - j**3. Let b be c(6). Suppose -674 = -b*z - 0*k + k, 662 = 2*z + 2*k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1751 - -1?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 3, z: 4}. Give prob of sequence aa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1603 and 15\/272296801?\nAnswer: 272296801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 5*t + 41, 23*t + 5*b = 19*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 841*f - 420*f + 53592*f**2 - 422*f - 1.\nAnswer: 53592*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 104*f**2 + 3*f - 1. Is b(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3959 + 4013. Which is smaller: 425\/8 or p?\nAnswer: 425\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*i**2 + 2*b**3 + b**2*i**2 - 14*b*i**2 - 2*b wrt b?\nAnswer: 12*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10061*b + 10089*b - 39854*b + 9929*b + 10073*b.\nAnswer: 298*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -272 + 287.3. Let o = 1182.3 - j. Let c = 1166.99999353 - o. What is c rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-10)*((-7)\/21 + 1). Suppose -3*f = -f + 2. What is the third smallest value in 0.5, f, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2459 divide 255526985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -1. Calculate the remainder when o is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6511333\nAnswer: 4\/6511333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174045, 348081, 522077, 696033?\nAnswer: 869949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-71 + (5 - 1))*1. Let g be (((-1140)\/j)\/(-19))\/((-2)\/(-8)). Solve -25\/6*q - g*q**2 - 5\/3 - 5\/6*q**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 15507 = 3*g - 0*g - 15535, -2*b + 12 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 12) to base 7\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 1\/2 (c) -24 (d) 0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 30*h + 3. Let k(g) = 30*g + 4. Let u(r) = -4*k(r) + 5*l(r). Suppose 5*z - 6 = 4. What is the units digit of u(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -16) + (16 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/136 and 41\/1054?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -40*2\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 6. What is j(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 115 - 85. Let r(d) = -k + 1 - 14*d**2 + 30*d**2 - 15*d**2 - 10*d + 5*d. What is r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 15342*r**2 + 0*r + 49 - r + 15341*r**2. Calculate m(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28236029 is divided by 28236018.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 6 - -14) + 0 - 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37122 (base 12) to base 6.\nAnswer: 1332442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246733 (base 8) to base 12.\nAnswer: 41563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5471.56 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 + 2 = 0. Let w be (b\/6)\/(1\/(-39)). Solve -k + w = -3*y, 3*k + 1 + 0 = y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 6009269?\nAnswer: 6009264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2. Let w(x) be the first derivative of 4*x**3\/3 - x**2 + 567. Determine j(w(z)).\nAnswer: -112*z**4 + 112*z**3 - 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 2. Let m(f) = f**3 - 14*f**2 + 13*f + 9. Let d be m(r). Solve -d = 3*s - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3398 by 34.\nAnswer: -1699\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 = -2*l - 9, -4*l - 1 = -3*k. Suppose k*y + 2*y = 140. List the prime factors of -3 + 0\/(-3) + y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 15.3.\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.5644, -3, 42.38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/485 and -129\/330970?\nAnswer: 32104090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186668793 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1007 + 1009. Calculate the remainder when 17 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18598 - -19601. Calculate the highest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 10 = -76*d + 24*d + 54*d, 2*d - 10 = 5*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c7228 (base 14) to base 8.\nAnswer: -20143624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 i when four letters picked without replacement from gigggggi?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*l**3 + 455*l**3 - 918*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 111 = -75. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaap when four letters picked without replacement from {p: 3, a: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 186\/(-72) - 1\/(-4). Let v = 25\/12 + w. Sort 2, -3, v in descending order.\nAnswer: 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 20*a**3 - 13*a - 14. What is k(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3120310.\nAnswer: 9360930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3969085.\nAnswer: 5, 29, 31, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -181216 divided by -2?\nAnswer: 90608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/f**6)\/(f\/(f**(-1\/4)*f)))\/(f**0*f)**6 assuming f is positive.\nAnswer: f**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -11092 and 945591.985.\nAnswer: 934499.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1047 and -68\/2235.\nAnswer: 780015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-12 - -22 - 1) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71261 by -396.\nAnswer: 71261\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15569436 != 15569437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*905870.\nAnswer: 1811740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -16 (c) 108322 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20718961*n**3*s**3 - 328129*n**3*s - n**2*s**2 + n**2*s + 1 wrt s?\nAnswer: -124313766*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 0*y**3 + y**3 + (-2*y - 3*y**2 + 2*y)*(3*y - 9*y - 2*y) as h + o*y + p*y**2 + t*y**3 and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 392, 1083, 2224, 3809, 5832, 8287?\n\"Answer: -x**3 + 231*x**2 + 5*x + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, -1\/3, -15, -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/254816 and 69\/2420752?\nAnswer: 4841504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*m**3\/3 + 37*m**2\/3 + 77*m.\nAnswer: -m*(m - 3)*(38*m + 77)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9302 - -9734. What is the remainder when c is divided by 132?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179.25 - 171. Let r = a + -8.1. Round r to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -385*u**5 + 1885*u**4 - 2475*u**3 + 775*u**2 + 260*u - 60 = 0.\nAnswer: -2\/7, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43649.99955 rounded to the nearest one hundred?\nAnswer: 43600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1952.4 and -32004194.\nAnswer: -32006146.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 - -13. Let k = d - 139.063. Round k to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 2, r: 1, d: 1}. Give prob of sequence eh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -456. Suppose 3*z = -z + q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2 + 2*w - 5. Let o be x(-3). What is the third biggest value in o, 3, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10644, -11127, -11610?\nAnswer: -12093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -128.59 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3786\/203 + 52\/29. Let d = 17 + k. Let g(z) = z**3 + 2*z**2 - 2*z - 1. Let l be g(-3). Which is the second smallest value? (a) d (b) l (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.7. Let l = 34 + -39. Put l, -2\/9, f in increasing order.\nAnswer: l, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/126*-68 - (-44)\/(-33). Let 0 + u*v - 2\/7*v**2 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 24 = -0*k. Suppose 0 = -0*m + m. Solve -k = 4*h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.3. Let d be 0 + (-42)\/(-7) + -1. Suppose d*y - 61 = -4*l + 4*y, 44 = 3*l - y. Put -1\/4, l, j in descending order.\nAnswer: l, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*h - 2646 - 1354. What is the derivative of h*z + 276*z - 526*z + 51 wrt z?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/873 and 6\/14282765.\nAnswer: 128544885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3967 - -36. List the prime factors of h.\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19432, 38866, 58300, 77734, 97168?\nAnswer: 116602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by -43?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - 3*u)*(80*u - 57*u - 2 + 23*u).\nAnswer: -184*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b - 27*b - 52*b - 14*b as r*b + y and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*-6030\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.8317421 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -22. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -563 - -563. Let v(p) = p**2 - 3*p + 7. Calculate v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 5. List the prime factors of ((-22)\/(-4))\/((-1)\/c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3))**(3\/2)*r**(-7)\/r*r**(-2\/97) assuming r is positive.\nAnswer: r**(-875\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8*(-39)\/((-2457)\/336).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 2*w + w. Let y(b) = -3*b**2 + 5*b**2 + 3*b**2 + b**2. Determine n(y(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*w + 476*w + 420*w - 87*w)*(-24 + w**2 + 24)*(6*w - 3*w - 2*w).\nAnswer: 668*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 7 + j + 11 - 9. Suppose 2*y + 4 = -f, y + 10 = -3*f - 7. What is the units digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77671 and 35919?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 645\/258*(-94)\/(-5). Is 73 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -10. Suppose 2*f = 16 + u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-523)\/5)\/((-105)\/1225) + (-4)\/(-6) a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 17}. What is prob of picking 2 o?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b**3 - 6*b - 9. Let p be i(-2). Let a = 1273678 - 48403253\/38. Let c = p + a. Calculate the common denominator of c and -103\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/8 - m**3\/2 + m**2\/2 + 9. Factor t(p).\nAnswer: p*(p - 2)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676482 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -20*y - 19. Let q = 50 + -54. Suppose -2*f - 2 = -28. Calculate the remainder when w(q) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303.2 + 303. What is the smallest value in -2, -0.1, c, -4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 4. Let b(n) be the first derivative of n**2 + 3*n - 196. What is 4*b(a) - 3*v(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - ((21 - 5) + -23)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 3*u**2 - u + 4. Let f = -2 + 14. Suppose 0*r + f = 4*r. Determine a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x**2 - 3*x - 2. Let y be (-4 - 0)\/(4 + -2) - -1. Calculate u(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69 - 76*o**4 + o - 2249*o**3 + 2249*o**3 + o wrt o.\nAnswer: -304*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c - 30*c + 4*c**2 - 2 + 16*c. Let f be ((-2)\/(-4))\/((-1)\/(-4)). Give k(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28686 - -28762. What is the remainder when 2204 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037 times 0.5?\nAnswer: 1518.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b - 1. Let w(t) = 3*t**3 + 6*t**2 - t - 2. Let a(k) = 4*v(k) + w(k). Let r be a(6). Solve 3*m - r = 3*n, -m + 5*m + 5*n = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/29*1465\/(-4250). Let w = -1\/425 - t. Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29312.433 rounded to the nearest 10?\nAnswer: 29310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 82 + 68 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 5, -24 = -2*k + 5*l. Which is bigger: k or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 60 = 2*n, -5*r + 65 + 35 = 4*n. What is the greatest common divisor of 70 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -22. Calculate the least common multiple of 4\/(-4)*(-2 + b) and 11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:03 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6459894462 minus -0.3?\nAnswer: -6459894461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*f + 19, f = q + 105 - 108 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14038 and 16.\nAnswer: 112304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52700861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/((q*q**(-7))\/q*q)*((q\/(q\/(q\/q**(1\/5))))\/q)\/q**6 assuming q is positive.\nAnswer: q**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7379 is divided by 7167?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -30. Let n(o) = -111*o + 8. Is n(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/10 and 13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392 + -387. Suppose 3*k - 4*n - 352 + 27 = 0, -h*k = -4*n - 531. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*j + 59*j + 5*j**2 + 80*j to f + i*j + t*j**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 729600876 to the power of 1\/3, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/8*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62952.78s in nanoseconds?\nAnswer: 62952780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292324*o**3 + 57*o**2 + 128744217*o wrt o.\nAnswer: 1753944*o + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -69.\nAnswer: -86\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 104 - 104)*(0 + 0 - 1 + (3 - 5 + 1)*(-5 + 3 + 4) - 1 + 0 - 1).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19208 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + 18 + -22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 16*o**2 - o + 4. Let b be a(-8). Suppose -40 = -7*h - b. Let u = -1 - -11. Calculate the remainder when u is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2 + -2 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-54)\/(-12))*1*-2. Suppose -s*h = -0*h - 1615. What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 76*j + 15. What is t(2)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(10\/(-8) - -1). Let s = -8 + q. Suppose l - 41 = -5*f, l + f = -s*f + 21. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50527 != -50538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 698948.1l in millilitres?\nAnswer: 698948100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*v + 6*v - 290, -3*v + 3*m + 258 = 0. Let d(a) = -68*a - 310. Let g be d(-5). Calculate the greatest common factor of v and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4660, 37, -3 in increasing order.\nAnswer: -3, 37, 4660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 91*t - 2887. Let l be m(38). Which is greater: l or 557?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 + 6*y**2 + 2. Let o(h) be the third derivative of -h**6\/24 + 7*h**5\/60 + h**3\/3 + 2*h**2 + 5*h. Let j = 12 + -6. Give j*o(t) - 7*x(t).\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.190481 rounded to one decimal place?\nAnswer: 128.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**7\/630 - x**5\/30 + x**4\/12 + 4*x**2. Let m(u) be the second derivative of h(u). Differentiate m(z) wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 71*s + 3. Let i(v) = 3*v - 1. What is -2*i(f) - p(f)?\nAnswer: f**2 - 77*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.65230476 rounded to 4 dps?\nAnswer: -2.6523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 225. Let j = -129 + s. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*a = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1109023, -1109024, -1109025, -1109026, -1109027?\n\"Answer: -h - 1109022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.3184399 from -301.\nAnswer: -311.3184399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 32. Give g(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785219?\nAnswer: 785219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d + 2*f, -4*f = d + 1 - 0. Suppose -d = 5*q - 5. Let w = -150 + 149. Is w <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6452985779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6442 is divided by 802.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*d - 83*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.009.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.9 and -0.0093?\nAnswer: 0.10137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56268, -112568, -168868, -225168?\n\"Answer: -56300*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6216 and 33840?\nAnswer: 8764560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25499 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -21*k - 11 - 5 + 5. Let y(s) = 4*s + 2. What is 2*v(m) + 11*y(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 590*j**4 - 5899*j**3 - 14085908*j**2 wrt j.\nAnswer: 14160*j - 35394","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**3 + w**2 - w - 1. Let c(o) = 10*o**3 + 2*o**2 - o - 2. Determine -3*c(k) + 4*d(k).\nAnswer: 6*k**3 - 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387 + -133. Suppose -5*z + r = 3*d, 0 = -5*d - z - 2*z + 434. What is the greatest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21299412 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2119394, 2119363, 2119330, 2119295, 2119258?\nAnswer: 2119219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101618728?\nAnswer: 2, 7, 31, 634573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -628371066*v**5 - 576219588*v**2 wrt v?\nAnswer: -37702263960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.4 and -146605?\nAnswer: 146603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1646, -40, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517248.7 millilitres in litres?\nAnswer: 517.2487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44800943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474792423?\nAnswer: 3, 7, 41, 551443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94430333 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21)\/((-306)\/1377)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*m, 31*x - 3*m + 3 = 35*x. Calculate the lowest common multiple of 424 and x.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let p be (24\/(-18))\/((-1)\/3). Let t(k) = k. Let j be t(2). Let x(m) = p*m - j*m - m. Give x(c(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*h + 1 - 1)*(-2 + 2 + 1).\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38553502 is divided by 38553502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -85544 to the nearest 1000.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101437.\nAnswer: 7, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 16. Let i be m(7). Suppose -25*c = -20*c. Suppose -3*a + 4*j + 1 = -c*a, -j + 2 = 0. Sort i, 5, a in ascending order.\nAnswer: i, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102274 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11201 + 1224103?\nAnswer: 1240304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45765, -1, -2, 1.\nAnswer: -45765, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*t + 49*t - 4*t)*(-15 + 142 + 34).\nAnswer: 14973*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 less than -67.412727568?\nAnswer: -67.485727568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (22 - 10)) + (3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.087 + 2.087. Which is the nearest to 15? (a) 1\/7 (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/528157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2647228768 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:46 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3*(1 - -1)\/6. Let d(l) = 9*l + 2. Calculate d(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 3. Let b(d) = d**2 + d + 1. Give b(y) + k(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.41224 micrograms to kilograms.\nAnswer: 0.00000004441224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 + k - 4. Let t = 87 - 87. Let l be (-4 + 6 + t + -3)*-5. Calculate the remainder when v(l) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o**3 + o. Calculate i(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 - 5*i - 2 - 11*i**4 - 2*i**3 - 5*i**4 - 5*i**4 + 4*i to the form s + w*i**4 + l*i**3 + u*i**2 + h*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4157867 to the nearest integer?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000216194161 rounded to six dps?\nAnswer: -0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {r: 1, t: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 35*o - 48. What is the tens digit of x(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/(-8437)*2519 + 35?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/15)\/(76\/(-5)) + (-47)\/141.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 25. Suppose y = -2*d + 3*v + 166, 55 = 2*d - 2*v - 111. Let l = 14 + d. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 13918 in decreasing order.\nAnswer: 13918, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 88074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 9*y + 98. Let v(o) = 13 - 6 + 2*o - y. Let q(g) = 9*g**2 - 13*g. Calculate q(v(p)).\nAnswer: 36*p**2 - 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -193, -192, -189, -184, -177, -168, -157?\n\"Answer: i**2 - 2*i - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (41 - 41)\/((-1)\/(2 + -3)). Which is the nearest to -1\/2? (a) 2\/9 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -225528511 and -225528511 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1116)\/(-620))\/(1 + (-26)\/20). Sort -7, z, 1 in increasing order.\nAnswer: -7, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -95758947 = -95758946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - g**3 - g**2 + 1 - g**3 - 3*g**3 + 5*g**3 + (-g**2 - 2*g**2 - g**2)*(-g + 5 - 5).\nAnswer: 4*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/9 + 143*c**3\/3 + 42680*c**2\/9 - 238132*c\/3 + 306656.\nAnswer: (c - 8)*(c - 7)*(c + 222)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 = 13. Suppose 24 = u + 2*u. Solve 0*b = -j*b + u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32494387?\nAnswer: 181, 179527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373.484 or -0.67?\nAnswer: -373.484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126535*h**2 + 62592*h**2 - 41200*h**2 - 196562*h**2.\nAnswer: -301705*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 125*g**2 + 166*g - 14617. What is y(-59)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-15)\/8)*135\/18. Solve -4*f + z = -9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.261 - -2.09.\nAnswer: 0.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737916.803ns in weeks?\nAnswer: 0.0000000028735396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/16)\/5)\/(11\/(-12))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22017, 44036, 66055, 88074, 110093, 132112?\n\"Answer: 22019*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 891, 1335, 1777, 2217, 2655, 3091?\nAnswer: 3525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 229060 and 88400?\nAnswer: 77880400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115765 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46963860?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*t - 180*t + 946*t + 419*t - 2*t**2.\nAnswer: -2*t**2 + 1971*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25a2b9 (base 12) in base 9?\nAnswer: -1143156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2*3\/6. Let b(s) = -1 + 1 + 12*s + 33 + f*s. Calculate the remainder when b(7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 - (5 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 2*c**2 - c - 2. Let p be o(3). Differentiate -8*w**4 + 1940 - 9*w**p - 1939 with respect to w.\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Suppose -3*u + 4 = -2*u. Let f(t) = -17*t. Let g(l) = u*b(l) - f(l). Let s(m) = 72*m**2 - 170*m**2 + 96*m**2. What is g(s(o))?\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(69*m - 50*m - 22*m - 4)*(-2 + 3 - 2) to the form c + v*m and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5647801 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302 and 30250736?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 11586*w**2 - 1980303*w + 1968714.\nAnswer: 3*(w - 163)*(w - 1)*(w + 4026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 - 785*v + 5*v**2 - 741*v + 2 - 729*v + 2261*v - 3*v**3. Let z be 1*1*(-3 - 0). Determine i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(56\/(-7)))\/(11\/(-8))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - n**3 - 2*n**3 + 2*n**3 + 1. Let m(o) = -o**3 + 3*o**2 + 2*o + 11. Let p(i) = i**2 + 14*i + 17. Let x be p(-13). Let b be m(x). What is g(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-95)\/(-45) + -3)*-3. Let w = -51 - -161\/3. Let -s - 2\/3*f**2 - w*f = 0. Calculate f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -6, -13, -5, -104 in decreasing order.\nAnswer: 4, -2, -5, -6, -13, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 26*g + 129. What are the prime factors of l(35)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90408 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*m - 8, -5*m = 5*k - 4 + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2623 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717441 is divided by 252?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/105 and 16\/49?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 4*x + 2. Let r be n(2). Suppose r*s - 6 = -3*h + 2, 5 = 5*s. Factor 2 + l**h - 4*l**2 + l**2.\nAnswer: -2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 6*a**2 + 6*a - 11. Determine n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 209.\nAnswer: -17\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/4 (b) -12 (c) -1 (d) -2\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 38*i + 188. Let w be x(33). Solve 5*d + 2*y = -w, 5*y = d + y - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 7133, 42\/13, -0.3?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10878818 to the power of 1\/2, to the nearest integer?\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30678 is divided by 194?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7323.8 + -7324. What is the second biggest value in k, -3, -5, -0.5, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose 4*l = -l. Solve t + 5*a + 5 - 2 = l, -k*t + 5*a = -9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*r**2 - 85 with respect to r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*b - 94*b - 183*b - 103*b.\nAnswer: -466*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8061?\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36321?\nAnswer: 3, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -16. Let s = 669 + -666. Suppose v - 3*n + 1 = 0, 2*v - s + w = -2*n. Put 2\/5, -3, v, -5 in descending order.\nAnswer: 2\/5, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 1 - 1)*(c + c + 0*c) - 2 - c + 2 to the form t + v*c and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 7 (c) 0.22 (d) -1\/5 (e) 4\/3 (f) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-14)*(-3)\/((-23)\/(322\/(-12)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4467 + -0.6467. Let f = 64.2 + -59. Let d = f - 5. Is d at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2936)\/(-23121))\/((-6)\/(-28)*28\/(-21)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182\/51 + -4\/17. Let m = -11\/3 + w. Let j = -115 + 116. Which is the third biggest value? (a) j (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71994775*d - 10*d**2 - 71994775*d.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 171*s**2 - 176*s + 418. Determine a(56).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1051 + -890. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4*q - 2. Let h be ((-40)\/(-16))\/((-1)\/(-2)). Calculate o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/90720 + w**7\/2835 + 2*w**6\/405 - w**5\/20 - 13*w**2. Let c(d) be the third derivative of b(d). Solve c(q) = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1295592829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 1170.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -620, -635, -664, -713, -788, -895, -1040?\n\"Answer: -o**3 - o**2 - 5*o - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2431 at least as big as 4.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1764.74 decades?\nAnswer: 17.6474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*a*p**2*x**2 - 3*a*p*x**2 - a*x**3 + 387*p**3*x**3 + 5*p**3*x - 2*x**3 wrt x.\nAnswer: -6*a + 2322*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/2 + 1590*b**2 - 19053*b\/2 + 14283 = 0. What is b?\nAnswer: 3, 3174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.119 and 2247656.\nAnswer: -267471.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.046 + -1.594. Let d = 0.34 + b. Let v = 1.4 + d. What is the nearest to v in -5, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42597, 42596, 42595, 42594, 42593, 42592?\nAnswer: 42591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 842, 1062, 1358, 1730?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 - 77. What is the least common multiple of 32 and s?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41295.\nAnswer: 3, 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39165960 and 1275.\nAnswer: 195829800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5*t - 4*q**4*t + 5*q**3*t - 3*q*t + 2*q + 19*t wrt q.\nAnswer: 40*q**3*t - 48*q**2*t + 30*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - d + 3 + (2*d + 4 - 4)*(3 - 4 + 2) - 4*d + 5*d - 2*d + 3*d - 3*d - 2*d - 2*d + 0*d + d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9. Let v(w) = -4. Let m(h) = -5*l(h) - 9*v(h). Let c(f) = -f - 10. What is -2*c(k) + 3*m(k)?\nAnswer: 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 310219, 620098, 929989, 1239898, 1549831, 1859794?\n\"Answer: f**3 + 309872*f + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*x + 485, 2*s = -5*x - 3*s + 485. Suppose 0 = 4*b + b - 4*i - x, 5 = b + 4*i. Does 3 divide ((-4)\/(-5)*(b - 2))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/7 and 59\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 156889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 859902 = -2*b. Let c = -229951 + b. What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -0.2 (c) -1\/6 (d) -1036.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9012400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3 = 2*l - 5, 5*l - 5 = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + 19\/(-46). Let u = -3557.7 + 3555. Which is the third biggest value? (a) u (b) -5\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.170226914 to 4 decimal places.\nAnswer: -1.1702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o + 89*o = 1920. Let u be 1\/((-1)\/(-10)) - -2. Calculate the highest common divisor of u and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15396 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1792)\/69888 + (-3)\/(-624)*14?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*l - 127516, -4*q = 72*l - 77*l - 255022. List the prime factors of q.\nAnswer: 3, 79, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 - 370986*g - 370984 = 0.\nAnswer: -185492, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2 times 7.918?\nAnswer: -167.8616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -169*g**3 - 3*g**2 - 98*g - 96. Does 28 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949634677 to the power of 1\/2, to the nearest integer?\nAnswer: 62846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g - 1461. Let k be f(77). Solve -k*q + 93 = 81 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 24687?\nAnswer: 24690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 22*l = 2*i + 14, -2*l + 1 = i. What is the nearest to i in -2\/3, 4, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.05 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from {o: 3, j: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let n be 2 + 3 - 552\/120. Which is the nearest to 0.1? (a) -1\/2 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16303 + -16296. Let y(v) = -30*v + 211. What is y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -8*z - 5005. Let n = -333 + z. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 + 793433*a**3\/2 - 39316721403*a**2\/2 - 1451940933456*a - 1077897704832 = 0 for a.\nAnswer: -73, -3\/4, 99216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.72 + -0.22. Let a = 0.06 - t. Let z = -2 - -1. Is z >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294333191.\nAnswer: 23, 99753617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 16 = 2*c - 4*w, 3*w = -5*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 333310130 (base 4) in base 8?\nAnswer: 776434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310989 to the power of 1\/2, to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -48. Let s be ((-10505)\/(-11))\/(t\/11). Suppose 3*w = 8*w - s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c**2 + 18*c - 23. Let a(d) = -2*d**2 + 1. Let n(w) = 6*a(w) + v(w). Let z be n(-19). What are the prime factors of z\/(-2)*(1 + -2)*300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/(6\/(-8)). Suppose 4*g + 35 = 4*b - 7*b, 3*b + w = -g. Let u(j) = -2*j - 6. List the prime factors of u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133212102 (base 4) to base 15\nAnswer: 28536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-147)\/(-6) + (-1)\/(-2). What is the third derivative of 47*q**3 - 15*q**3 - d*q**3 + q**2 wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -178 (b) -0.1 (c) -6255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 19 in decreasing order.\nAnswer: 19, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -9, 0 = 4*n - n - 4*p - 132. Calculate the remainder when n is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w = -28*w - 10. Suppose 0 = -5*c + 5 + 5. Solve -c*q + 3*q = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.4 (c) 5 (d) 3 (e) 4\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2235, 44 in decreasing order.\nAnswer: 44, -1, -2235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/6 + 7*g**2\/2 + 2*g. Let z(b) = 3*b + 1. Let q be z(-3). Let u = q + 14. Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-3)\/(-3)*3). What is the hundreds digit of (w - (-1 + 4))\/((-36)\/1962)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -2b25?\nAnswer: 2b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 6*g - 3. Let i(a) = -3*a**2 + 3*a - 4. Let q(f) = -7*f**2 + 10*f - 10. Let x(c) = 11*i(c) - 4*q(c). What is -6*m(o) + 5*x(o)?\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/73, 2, -1, -2\/1769 in increasing order.\nAnswer: -1, -2\/1769, 2\/73, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2037997256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24159.\nAnswer: 3, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -57, -26, -1, 2, -3, 4 in descending order.\nAnswer: 4, 2, -1, -3, -26, -28, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355581 is divided by 2988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 30\/9)*36\/(54\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-6 - 2) - -13) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -150 - 0?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3925\/175 - (-3)\/(-7). What is the second derivative of -i + c - 8*c - 78*c**2 - 67*c + 23 - 13*c wrt c?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*f**2 + 307*f**3 - 398*f**2 + 259*f**3 - 525*f**3.\nAnswer: 41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b\/(b**(-16)*b))\/b)\/b)\/b)**(-25\/6)\/(b**13*b**(5\/3)) assuming b is positive.\nAnswer: b**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 5. What is the least common multiple of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r + 1740 - 2000 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-4)*(42\/(-98))\/((-42)\/(-196)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n - 45 = 0. Suppose 4*d + n = d. Let c(u) = u**3 + 4*u**2 - 3. What is the remainder when c(d) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 74 + 21. What is the common denominator of (-938)\/180 + (-38)\/b and 23\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*12*-5*(-7)\/(-105)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-918)\/12)\/(-17))\/((-9)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2\/9 + 35576*t\/9 - 79103236\/9 = 0.\nAnswer: 4447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8004936 divided by 5?\nAnswer: 8004936\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/((-126)\/27) + -6. Let j(s) = -9*s - 5 - 1 + s. Is 3 a factor of j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -31. Let t = -23 - r. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -651 + 321. Let g = a + 491. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 5*l + 4. Let u be y(-2). Suppose 0*n = 4*n - 32. Suppose n*g - u = -6. Solve 4*p + 2*w - 6 = g, -2*p = 5*w + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - 39. Let f = m - -70. Solve f = -q - 3*q, -3 = -2*n - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176171 + 176166. Let s(z) = 17*z**3 + 5*z**2 + 9. Let j(x) be the third derivative of -x**6\/15 - x**5\/30 - 2*x**3\/3 + x**2. Give n*j(d) - 2*s(d).\nAnswer: 6*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let d(i) = 4*i**2 + 158. Let p(c) = 2*b(c) + d(c). Find the first derivative of p(s) wrt s.\nAnswer: 8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-6*(sqrt(168)\/sqrt(4) - sqrt(42)))\/sqrt(6) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698 a factor of 208278994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53405 - 53405 + 5255*o - 338*o to x*o + l and give x.\nAnswer: 4917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/60 and -29\/1290.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1087000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - ((sqrt(1216) + 0)*3 + sqrt(1216)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.71 + -7.71. What is the closest to p in 1, -0.28, 4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(-18)*s)\/s*s))\/(s\/(s\/(s*s\/(s*s*((s*s**(-6\/5))\/s*s)\/s)*s))))**(-2\/15) assuming s is positive.\nAnswer: s**(-148\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/3 + 2 - 3. Let c be ((-10)\/r)\/((-3)\/(-9)). Let w(o) = o**2 - o - 7. List the prime factors of w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 3*1*sqrt(363) + 0)*5)**2*-6 - ((sqrt(363) + ((2*sqrt(363) - sqrt(363) - sqrt(363)) + sqrt(363))*-1 - -1*2*sqrt(363)) + 4)**2.\nAnswer: -872668 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - 154. Let v(b) = -4 + y*b**2 + 20*b + 17*b - 34*b**2 - 38*b. Let d = -2 + -4. Let w(c) = -2*c**2 - c - 5. What is d*w(i) + 7*v(i)?\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 20. Suppose 3*z + 4 = -5, -t - k = 5*z. Let u = t + 8. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 1. Suppose 0 = 2*g - 56 + 48. Calculate the smallest common multiple of z and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ae23 (base 16) in base 13?\nAnswer: a97c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let h(i) = 27461*i. Give h(t(c)).\nAnswer: 27461*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4114949 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 9*f. Suppose 2*k - 5*p + 31 = 5*k, 4*k - 5*p - 18 = 0. What is the remainder when 41 is divided by d(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-0.726\nAnswer: -0.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 58 = 24. Let z be (-3)\/6 + 289\/i. Solve -9*j = -z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**5\/20 + 2*i**4\/3 - 5*i**3\/3 - 2*i**2 - 5*i. Let p be s(-9). Suppose -u - 18 = -p*o, 4*o - 3 - 5 = 4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 4 - 139 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 + -186.1. What is the nearest to -1 in 0, a, 3\/4, 0.04?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*u - 4*u - 5332, -u = -3*v + 4007. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -16748, 1.\nAnswer: -16748, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/65585255, -1, 3.\nAnswer: -1, -2\/65585255, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -14741?\nAnswer: -14756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 + 2*m + 0 + 0*m**3 - 1\/6*m**4. Let f(s) = -s. What is j(f(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1756*3.\nAnswer: -5268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 24059753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 67*b**2 - 58*b - 16. Suppose 0*n - n - 26 = 4*s, 0 = -3*n - 5*s - 92. What is the remainder when f(n) is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 3*a**2. Let h be m(-3). Suppose -2*o - 6*c = -3*c - 17, 3*o = 5*c - 3. Suppose -2*v = -h*v + o. Is -1\/5 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87.1 + -73.12. Let o = i + -14. Round o to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*14462\nAnswer: -41939.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -818.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-5))\/(1\/(-1)). Suppose -4*t + t = -135. Suppose -h + 4*w = 10, -2*h + 0*h - 5*w + t = q. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-500)\/100)\/((-5)\/447) is divided by 161.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -151 - -1210515?\nAnswer: 1210354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5 + b + 2 + b**2 + b. Let k(f) = -f**3 - 6*f**2 + 38*f + 5. Let m be k(4). Calculate a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1112860 - -10015742\/9. Let b = 13\/8 - 9\/8. What is the nearest to -1 in z, b, -0.5, -15\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1367\/226829?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let j(v) = -201824*v**2. Calculate q(j(s)).\nAnswer: 201824*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114492 = 142*m - 26*m. What is the remainder when m is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*d*j*s + 33*d*j - 4*d*s + 3*j*s + 25*j + 2*s wrt s?\nAnswer: 26*d*j - 4*d + 3*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-408 + 419 - (-1 + (11 - 0)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -2.5. Let o be 6\/40 - 2\/(-8). Let a be 656\/(-1800) - 4\/(-9). What is the nearest to o in q, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -28. Suppose -2*j + 4*c - 6 = -j, 3*j + 18 = -s*c. Is 119*3\/j*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 337*q. Let a(w) be the second derivative of w**3\/3 + 3*w - 63. Determine a(h(u)).\nAnswer: 674*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 80.078175 minutes?\nAnswer: 0.05560984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/3*(-4)\/(-24))\/((-29)\/(-87)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0803 and -16299?\nAnswer: -1308.8097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11216721, 22433443, 33650165, 44866887, 56083609, 67300331?\nAnswer: 78517053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83185927, -166371860, -249557793, -332743726, -415929659, -499115592?\n\"Answer: -83185933*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -3*k**5\/5 + 217*k**2 + 2. Let q(l) = l. Calculate q(t(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20289156*n**3 - 8992961*n.\nAnswer: -121734936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -6\/60497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 4:46 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 10 in decreasing order.\nAnswer: 10, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y**5\/4 - 15255*y**4\/4 + 690033*y**3\/4 - 10270737*y**2\/4 + 8953230*y - 9018009 = 0 for y.\nAnswer: 11\/5, 26, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 + c. Let w(x) = 6*x**3 - x**2 + x - 2. Let l(h) = 5*u(h) - w(h). Suppose 3*f + 47 = -4*k, 13 = -3*k + 4 - 15. What is l(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/1042 + 40113\/4168. Calculate the common denominator of f and 0 + 238\/32 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279264153 less than 285833?\nAnswer: -278978320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*j + 16 = -0, -8 = -2*c - 5*j. Solve -c*b = b - 15, -5*a - 4*b = 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*t - 7, -3*g - 2*t + 22 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 144832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 30*m - 345 = 0. What are the prime factors of m?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29474 + 10636 = 30*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - c + 33, -2*z + 36 = 2*z - 4*c. Let s be 4\/z + (-720)\/(-28). Suppose 29 = 5*f - s. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924473?\nAnswer: 11, 229, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31300 (base 5) to base 10.\nAnswer: -2075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 35*f**3 - 211*f**2 + 33*f - 80. Determine q(5).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8486 is divided by 92?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-3))\/(-133)*598\/(-23)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -55. Calculate the remainder when 113 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*l - 752*l - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43*6\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 133\/15. Let l = 15 - 14.86. Let g = -3.14 + l. Which is the closest to -1\/4? (a) -5 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 475*u**2 + 473*u**2 + u**3 - 9*u**4 + u**4 + 6*u + 1 to the form g + x*u + f*u**4 + c*u**3 + v*u**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**6\/18 - 3*h**5\/40 + 16*h**3\/3 + 17. Let j(v) be the third derivative of t(v). Find the second derivative of j(y) wrt y.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032496 rounded to 4 decimal places?\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/272222 or -1?\nAnswer: -3\/272222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 27*a**3 + 24*a**2 + 5*a + 68. Let d(h) = -23*h**3 - 24*h**2 - 4*h - 66. Let y(n) = 6*b(n) + 7*d(n). Determine y(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + h + 1. Suppose 0*v - 5 = 5*v. Let u(d) = 5*d**2 - 13*d + 6. Let k(q) = v*u(q) - 6*j(q). What is k(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + u)*(-1 + 1 + 2*u**2) + 2*u**3 + 0*u + 0*u + (-16 + 16 + 8*u)*(-6*u**2 + 0*u**2 + 4*u**2).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(1331) + -1 - (sqrt(1331) - (1 + sqrt(1331))*-3)) - (-6*sqrt(1331)*1 - (sqrt(1331) - (5 + 1 + sqrt(1331)))))**2.\nAnswer: 9504*sqrt(11) + 766980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*r + 6412 = 227*r. Which is the smallest value? (a) 0 (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {j: 2, d: 3, z: 2, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -21 + 3*b**3 + 66 + 13*b**2 - 12*b**2 - 2*b**3. Calculate l(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/874 and 51\/190.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5964161 divided by -852023?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7)**11\/(a**(11\/6)\/a*(a*a**9)\/a))**41 assuming a is positive.\nAnswer: a**(16523\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29766, -29732, -29698?\nAnswer: -29664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 180\/5*(-20000)\/12. Let i be 7\/(63\/h)*-11*18. Round i to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = 5*z. Suppose -2*q = -3*f - 220, -5*f = 4*q - z*q + 96. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*w - 4*m + 36, 4*w - 35 = -5*m. Suppose -10*t = -13*t + 15. Solve y = z - 0*y - 6, -w*z + 10 = t*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2. Let t(r) = 3294*r. Give t(o(u)).\nAnswer: 23058*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (86\/129)\/(3\/(-6)*2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 4\/3 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48632266 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9458, -36409, -81328, -144215, -225070, -323893?\n\"Answer: -8984*z**2 + z - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2 - 3*u**2 + 0*u**2 + u**3 - u - 2 + 2*u. Let y be 1 + -1 + 18 + -15. What is f(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2762434, -2, -22 in increasing order.\nAnswer: -22, -2, 2762434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115684, 115683, 115682, 115681, 115680, 115679?\nAnswer: 115678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -21 (b) 54 (c) -22\/125 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4367, 0, -2, -3 in descending order.\nAnswer: 0, -1, -2, -3, -5, -4367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -203 and -203 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 162867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 - 12*d**3 - 646*d**2 - 1248*d - 616 = 0 for d.\nAnswer: -14, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1369 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/58611 and -6\/679.\nAnswer: 5685267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-36)*10\/4*(-6)\/(-75)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 7:42 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 3472051?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 2*f**6\/45 - 11*f**5\/60 + 5*f**4\/36 + f**3\/9 - 34*f. Suppose h(a) = 0. Calculate a.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13119, 26520, 39839, 53034, 66063, 78884, 91455?\n\"Answer: -7*q**3 + q**2 + 13447*q - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6447 in -0.5, -4\/41, 1, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48298.\nAnswer: 2, 19, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-12)\/(-27))\/((-72)\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224817\/11 + -20438. Suppose -2*f - 6 = 2. Which is the fourth biggest value? (a) -4\/5 (b) -0.4 (c) o (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 9, 0.05, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + j - 14 = 2*p, -2*p + 4*j = 0. Suppose 0*i**3 - 4\/9*i**2 + 2\/9*i**5 + 4\/9*i**p + 0 - 2\/9*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2606 = 18*m + 156*m + 7130 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 4:55 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*k**2 + 9*k**5 - 4*k**3 + 4*k**3 - 13*k**2 wrt k.\nAnswer: 540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5. Let y(d) = -d - 1. Let c(n) = 3*n**3 - n - 6. Suppose 21 + 21 = 7*z. Let g(o) = t*c(o) + z*y(o). What is the second derivative of g(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 1171, 2612, 4605, 7138, 10199, 13776, 17857?\nAnswer: 22430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 3. Let w(g) be the second derivative of -g**4\/12 + g**3\/6 + 13*g**2\/2 - 2*g. Let j be w(0). Solve 5*r - j = v*u, r + 0*r + 4*u = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(18)\/(sqrt(6) + sqrt(54))) + 0.\nAnswer: -16 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -20*n**5\/3 + 1972725*n**4 - 145945277485*n**3 + 3830597122000*n**2\/3 + 328338037500*n = 0.\nAnswer: -1\/4, 0, 9, 147950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -525 - 133. Let w = -450 - m. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 2\/16691, -4, 1\/11, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -5, 4458, 9 in ascending order.\nAnswer: -5, 2.4, 9, 4458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(704) - (1 + 1*sqrt(704))**2 - ((sqrt(704) - -1*1*sqrt(704))**2 + (sqrt(704) + sqrt(704) + 2*sqrt(704) + sqrt(704) + -1)**2))*3.\nAnswer: -63381 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(3\/2 + (-352)\/224).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -492, -459, -398, -303, -168, 13, 246?\n\"Answer: r**3 + 8*r**2 + 2*r - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/34380 and 15\/1528.\nAnswer: 68760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1750 = -7*c - 430*c + 17041 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:07 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7765, -15540, -23315, -31090?\nAnswer: -38865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + -7 - 2 - (12\/3 + 2). Let -6\/7*n + d + 6\/7*n**3 + 3*n**4 - 3*n**2 = 0. What is n?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -74*l**3 - 4*l**2 - 3*l + 2. What is the units digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 505747 - -6?\nAnswer: 505755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103683 > -1103677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 + 47 = 2*d, -4*d - 2*h = -54. Let p(v) = -3*v**3 - 32*v**2 + 10*v + 5. Let u be p(-11). Suppose -30 = d*a - u*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117.4 less than -500985?\nAnswer: -505102.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/(-30)*6\/(-5)*1. Suppose -s*m - 160 = 5*w, -2*w - w - 3*m - 99 = 0. Let j be w\/(-16) + 1\/4. Solve 2*l = 4*l + 3*k + j, 0 = -5*l - 3*k - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355208151.\nAnswer: 11, 123200741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(1\/13)*u)*u**(-8)*u**(-4)\/(u*u**(-4)))**(-2) assuming u is positive.\nAnswer: u**(258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p + 3. Let u(z) = z - 1. Let g(o) = -19*o**2 - 1. Let t(h) = p*g(h) - 2*u(h). Calculate t(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*j**2 + 352*j**2 + 40*j**3 - 699*j**2.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-3)\/12*(-16)\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 479.8 + 61.2. Let j = 543 - b. Are j and -251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o - 14. Let x be (-46)\/24 + (30\/72)\/(-5). Let z be l(x). Suppose 4*k - 2*i - 12 = 0, -2*k - i = k - 19. Are k and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1661 is divided by 294.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13218305, 26436612, 39654919, 52873226, 66091533?\nAnswer: 79309840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/80 + (-3)\/(-5). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29957.0088 - 29976. Let l = u + 19. Round l to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**2\/2 + 6*c - 7. Determine p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -79. Let o = -29.99975 + a. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085425 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 893.2927 micrometers?\nAnswer: 0.0008932927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001176882936 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 898417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152001271 to the power of 1\/2, to the nearest integer?\nAnswer: 33941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126983158?\nAnswer: 2, 743, 85453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-88)\/55)\/4\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 - 9*n + 18. Let l be f(-9). Find w such that -43 - 57*w - l*w**2 + 16 + 18 = 0.\nAnswer: -3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/5)\/((-4760)\/(-11900))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*s**5 - 57*s**2 - 1?\nAnswer: -2520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4551 - 23?\nAnswer: -4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -506, -2, -4, 0, 41 in increasing order.\nAnswer: -506, -4, -2, 0, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5711.984757 to the nearest 10.\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*s + 3167 - 3182, -3*m = -2*s + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-2 - -2) + 2). Suppose -y + 5 = f. Let m be (66\/8)\/(2\/8). Solve -2*c + 6 = r, -y*r - 8 = -5*c + m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1289, 5172, 11625, 20642, 32217, 46344, 63017?\nAnswer: 82230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1582\/513 + 79\/27. Which is the closest to 1? (a) -0.4 (b) i (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2)**(-2\/51)*v**8*v**(1\/12)*v assuming v is positive.\nAnswer: v**(1829\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 294573232 to the power of 1\/2, to the nearest integer?\nAnswer: 17163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + 4*x - 131353 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)\/z*z)**(2\/7)*z*(z\/(((z\/z**(-3))\/z)\/z)*z)\/z*z\/z**(-2\/7))**(-4\/13) assuming z is positive.\nAnswer: z**(-164\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -808?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 (base 12) in base 6?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*g - 25, 12*g + 4*b + 35 = 15*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 12. Find the common denominator of (-2)\/m*127\/(-2) and 107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118258287 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0 - 6*x**2 + 0*x - 1\/24*x**4 + 3\/10*x**5 + 1\/3*x**3. List the prime factors of n(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13089?\nAnswer: 3, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**2 + 1 - 3*a - 5*a**2 - 5*a**2 - 3*a. Suppose 7 = -2*l - j, -4*l - 14 = -j + 3. Give z(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 157, 365, 657?\n\"Answer: 42*d**2 - 2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 divided by -2?\nAnswer: -263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 7494880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77184754903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(450)\/(2*sqrt(36)) + 3 + 1*sqrt(128) + -3.\nAnswer: -2 + 37*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4 - 3*f**3 - 3*f**2 + 11*f - 6 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from wllwhjlhluwjwxu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*m**4 + 148805*m**3 - 2972680*m**2 + 5616580*m - 532080 = 0. What is m?\nAnswer: 1\/10, 2, 18, 2956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -45. Suppose -4*x = -v - 9. Solve b + 3*b = -x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -153927*q**2. Let x(h) = -84*h**2. Give v(x(m)).\nAnswer: -1086108912*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, 2\/2991, 3380 in descending order.\nAnswer: 3380, 2\/2991, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3*y**5 - 225736*p**3*y**3 + 1408*p**3*y**2 - 22*p**3 - 3*p**2*y**2 - 16*p**2 + 1 wrt y?\nAnswer: -180*p**3*y**2 - 1354416*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p - 5*b, -3*p + 4*b + 2 - 4 = 0. Let o be -1 + (p + 2 - 4). What are the prime factors of (-1)\/(o*(-5)\/525)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o + 1. Let v(f) = -63*f - 7. Let t(r) = -7*u(r) - v(r). Let c(g) = 35*g. Give t(c(m)).\nAnswer: 245*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 793 - 2.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 125290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*q**2 - 268*q**2 + 171*q**2.\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let w(t) = 128*t - 6. Let m(k) = -257*k + 15. Let h(d) = -3*m(d) - 7*w(d). Give h(n(o)).\nAnswer: 125*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = -2*x - 91, -227 = 5*x + 3*d. Let v = x + 0. Let f = 115 + v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -116517153 divided by 38839051\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.2230642 to 1 decimal place.\nAnswer: -48.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 1454948979.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1.83909.\nAnswer: -2.23909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurluuucdrclrujrduru. What is prob of picking 1 c and 1 r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 131 = 5*l + 48, -l = 2*a - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 - 4*p**2 - 2*p + 2. Let g be (4\/(-6))\/(8\/(-36)). Is j(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. Let w = d + -1.0000005. What is w rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.11478 to one decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/715 and -33\/650.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/8 + k**2. Let p be y(-3). Find the common denominator of 81\/2 and (3\/p)\/(7\/(-51)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34188 and 3411023.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 4\/7 (c) 0.5 (d) 35\/107 (e) 0 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:29 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -10, -0.3, -2.5867?\nAnswer: -2.5867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5, 3, 0, -672, -3 in increasing order.\nAnswer: -672, -5, -3, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 1. Let j = -33 - -32. Let a be z(j). What is the greatest common factor of 4 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*h = 45, -17*h + 10 = 4*n - 15*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 24 = 4*k, -2*k = 5*j - 7*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5051*d - 1272 + 2032 = 3825 + 7037 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*t + 25. Let f = -12 + t. What is the smallest common multiple of f and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose -r*k + 12 = k. Let q be k\/10 - (-16)\/10. Which is the smallest value? (a) 1\/3 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -762\nAnswer: -7\/762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3798, -5465, -7132, -8799, -10466, -12133?\n\"Answer: -1667*q - 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-155801)\/(-42) + 12\/42. Let p = -3726 + r. Calculate the common denominator of ((-3)\/16)\/(3\/2) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.0963 - -0.0963. What is the nearest to -0.2 in 2, b, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0266 minus 0.01?\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 0.046025.\nAnswer: 1.046025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.08733mm in meters?\nAnswer: 0.06408733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 less than 3522440374604?\nAnswer: 3522440374603.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*t + 10*t**3 + 23*t + (-2 + 3 + 0)*(3*t + 2 - 2)*(t**2 + 0*t + 0*t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(3080\/(-16)))\/((-3)\/(-105))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16743745*x**4 - 27077479*x**2.\nAnswer: 401849880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 1, o: 1, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(114) + sqrt(114)*-1)*6 - sqrt(114)) + sqrt(114) - -1*sqrt(114)*-2))\/((2*sqrt(72)*-3 - sqrt(72))\/sqrt(3)).\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 49. Suppose -2*f + 52 = -2*i - 6, -2*f + 64 = 4*i. Let s = q + f. Solve -v + 12 = 4*u + s*v, -5*v + 20 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2)*3\/6. Suppose u = -2*a - a + 258. Suppose -4*v + o + a = -89, -85 = -2*v + 3*o. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 133 + 93 = 2*p, -3*g - 5*p - 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*n = -180, -4*n + 3*n = 5*y - 461. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-598\nAnswer: -239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:16 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 3680202?\nAnswer: 533629290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(12)\/sqrt(4)*-4 + sqrt(3)) + (sqrt(288) - (sqrt(288) - ((1*sqrt(288) - sqrt(288)) + -2))**2).\nAnswer: -292 - 109*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.898 and 26528290.755.\nAnswer: 26528288.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 8*a + 4*a + 21, -26 = -5*w + a. Let i(f) = -f**3 + 6*f**2 - 4*f - 2. Let j be i(w). Let v(o) = o - 4. Let z be v(j). Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 16. Let x = -13 - -7. Let o be a(x). Factor 12*d - 3*d**o - 5*d + 6 - 2*d - 2*d.\nAnswer: -3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -1\/84*j**7 - 1\/20*j**5 + 1\/4*j**3 + 1\/12*j**4 + 1\/4*j**2 + 0 - 1\/20*j**6 + j. Factor p(m).\nAnswer: -(m - 1)*(m + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251418 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2778 and 297?\nAnswer: 275022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18*p + 9. Suppose 6 = 3*u + 15. What is the remainder when n(-3) is divided by u*(16\/(-3) - (-4)\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4164745 or -4164739?\nAnswer: -4164739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1\/9 (b) -547891 (c) 2\/11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -48*y - 2. Let s be t(-1). Let x = -42 + s. Suppose 5*j + x*k = -20, -3*k + 10 = -4*j - 5*k. Solve 0 = w, -4 = -j*c - c - 3*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18961806.6536177 - 2.3463823. Let h = -18961805.00000075 - g. Let q = h - 4. Round q to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -40. Let a = -3 + r. Suppose -t = -a*t + 700. What is the remainder when t is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*s - 16, -2*s + 7 = 3*b - 1. Suppose b = -4*z + 2*z + 4*n + 32, 2*z - 17 = -n. Let h = 123 + -85. Calculate the remainder when h is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = 875112*u - 875140*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1149\/85 - -67\/5. What is the third smallest value in -2\/7, v, 1\/3, -15\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 11. Let a be p(-9). Suppose 5*g = j - 143, -a*g + 108 = j - 0*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51096, -101960, -152800, -203610, -254384, -305116, -355800?\n\"Answer: z**3 + 6*z**2 - 50889*z - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b17b (base 15) in base 9?\nAnswer: -482548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(2\/7))*w*w)**(16\/5)\/(w\/((((w*w*w*w**(-1\/3))\/w)\/w*w)\/w*w)*(w\/(w\/(w*w**4\/w)*w))\/w) assuming w is positive.\nAnswer: w**(628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 845, 1300, 1755?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4424 + 63?\nAnswer: -43a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031*-3.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39812\/11 - -3620. Calculate the common denominator of c and (-13)\/5*(-14)\/(-28).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205133796 by -814023.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -26*v. Let c(j) = 78*j. Give 4*c(b) + 13*i(b).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -46, -140, -324, -628, -1082?\n\"Answer: -5*n**3 + n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30, 3 in ascending order.\nAnswer: 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = 0, 5*f = x - 14 - 13. Let g(y) = -5055*y**3 + 9*y**2. Let a be g(f). What is a rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300444 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**(-1\/20)*x**(-2\/9)\/x**(3\/13))**(-4\/13) assuming x is positive.\nAnswer: x**(2237\/15210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17972, -35908, -53842, -71774, -89704, -107632?\n\"Answer: k**2 - 17939*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16583*b - 326*b**3 - 16583*b + (-b**2 + b - b)*(2*b + 2*b - 3*b) in the form s + i*b**3 + k*b**2 + o*b and give i.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(5*l**2 - 2*l**2 - 5*l**2)*(-2*l + 4*l - l + (-2 + 3 - 8)*(2*l - 2*l + 2*l)).\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 28. Let k be q(10). Let g be -16 - 3\/(-3 - 0). Let x be ((-12)\/g)\/((-1)\/15). Are x and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*t + 20838, 0 = p - 4*p + 3*t - 12501. Let d = p - -6006. What is the greatest common divisor of 68 and d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + 1 + (0 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 402 = 2*l. What is the remainder when ((-3)\/(-3))\/(3\/l) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287914051+-1.36788\nAnswer: 287914049.63212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3895\/9 + 4\/18. Let z = f - 50. Let -185*h**2 + 36*h - 194*h**2 + z*h**2 = 0. What is h?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, t: 5, q: 4}. What is prob of sequence qeet?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let h be ((-10)\/(-8))\/((-6)\/(-96)). Suppose -7*j - h - 15 = 0. What is q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.07 + -567.07. Let y = 553.98056 + d. What is y rounded to 4 decimal places?\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/91)\/((-90)\/(-315)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 3:05 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + (0 - (12 - 18))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 641348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n = 0. Put n, 5, -2, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113694383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 123*l - 870 = -108*l for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/8, 20.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.075 - -1.715. Let h = 0.41 + o. Let z = h - 0.05. Is z <= -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1808 and 2256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/4)\/s)\/s*s)**30\/((s**(-2)\/s*s)\/(s**6\/s)))**(-1\/22) assuming s is positive.\nAnswer: s**(61\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzw when three letters picked without replacement from {z: 4, y: 1, h: 2, t: 1, w: 1, m: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y**(-3\/2)*(y\/(y\/(y**(-4\/7)\/y)))\/(y*y**(-1\/11)))**2 assuming y is positive.\nAnswer: y**(157\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*p + 19, -13*x - p + 105 = -10*x. Calculate the lowest common multiple of 2 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, s: 9}. What is prob of sequence sh?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*d**4)*(4 + 13 - 7) - 4 - 4*d**4 + 4 + 2*d**4 - 4*d**4 + d**4.\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 149023.8 micrograms?\nAnswer: 0.0001490238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*j - 1050, -4*j - 30 = i - 218. Is i a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 669 = -r, 2*r - 20*l + 25*l = 1311. Suppose 2*p + 5*y + 172 = r, 3*y - 9 = 0. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6106902.16 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzppnhnpnnnnnn. Give prob of sequence nz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(425)*-3 + 4 - (1 + sqrt(425) + sqrt(425) + (sqrt(425) + -1 + sqrt(425) - sqrt(425))))**2 + -5).\nAnswer: -1200*sqrt(17) + 76555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*s - 1 = 0, -4*s - 13 = 3*a - 6*a. Suppose 2*c - 10 = -4*r, -r + 11 + 8 = -5*c. Let q be (1\/(-2))\/((-225)\/900). Solve -q*b = -a*b + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -111*r - 673. Calculate v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t + 6. Let k be u(0). Suppose -107 + 23 = -k*i. What is the least common multiple of i and 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15548.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2041005 (base 6) to base 3\nAnswer: 12000102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 939, 0, -10, 2 in increasing order.\nAnswer: -10, 0, 2, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -39ac?\nAnswer: 39ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/36*18\/(-3))\/(1155\/(-495)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/13 + 40*o**4\/13 + 14*o**3 + 184*o**2\/13 - 184*o\/13 - 224\/13 = 0?\nAnswer: -14, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66088*u + 68928*u - 193120 = 0 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63939?\nAnswer: 3, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 675086754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 11*o - 4. Let a(s) = 5*s**2 + 22*s + 7. Let c = 1679 - 1672. Give c*p(q) + 4*a(q).\nAnswer: -q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -21*j**2 - 16*j + 10. Let l(g) be the first derivative of -4*g**3\/3 - 3*g**2\/2 + 2*g - 195. Calculate -11*l(u) + 2*x(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 20. Suppose 567*c - 7560 = -404*c - 109*c. Solve n*z - c*z = 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -28. Let p = a - 13. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = -3*l - 104 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241993*a**6 + 40*a**2 + 36*a + 563.\nAnswer: 29039160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 != 221\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/8, -3, -30.1, 6\/7, -0.5, 1\/112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*b**2 - 100*b - 87*b + 272*b + 92*b**2 - 92*b to the form l*b**2 + g + o*b and give l.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/15)\/(w*w\/(w**(-23)\/w)) assuming w is positive.\nAnswer: w**(-392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658235.\nAnswer: 3, 5, 227, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -584900002.\nAnswer: -584900006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*m - 77. Suppose 0 = -14*v + 13*v + m. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 5*x - 15 = 0, -3*r = -x - 3787 + 3808 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 1. Let d = 20 - 16. Calculate the remainder when d is divided by m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r - 0*d - 4*d, -3*r - 5*d + 34 = 0. Let f = 28.6 - 29. Sort f, 4, r.\nAnswer: f, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -3, 1, 7, 15, 25?\n\"Answer: s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (2 + -2 + 32\/8). Suppose -5*g = -g - 52. Suppose -2*w + 8 = t, -g = -2*t + h*t - 5*w. Calculate the greatest common factor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7182900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/36 + 14\/18. Let l(k) be the first derivative of 4\/3*k + 4\/5*k**5 - 4 + 3*k**2 + 7\/3*k**4 + z*k**6 + 32\/9*k**3. Factor l(a).\nAnswer: 2*(a + 1)**4*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 231024*y**3 + 3335524504*y**2 - 6671742096*y + 3335986564.\nAnswer: 4*(y - 1)**2*(y + 28879)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/(-9120))\/(3\/612)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5 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 divisor of 811 and 98040979?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (2 + (-14)\/(-2))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-45))\/(16\/(-40)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (620\/(-24))\/31*(-5)\/((-75)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.7 (b) 3 (c) -1\/6 (d) 3\/7 (e) 478\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12452211 and 4131?\nAnswer: 37356633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -4, 1, 2, -8477.\nAnswer: -8477, -130, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58096 (base 11) to base 6.\nAnswer: -1444410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvvffbv. Give prob of sequence vffy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53075233 is divided by 814.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 6*d - 6. Let x be w(-8). Let m be (-2 - 5\/(-2))*(-1 + 21). What is the greatest common factor of m and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265491 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279695218?\nAnswer: 2, 11, 107, 131, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30)\/(1*(-8)\/60)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from lrjdfrojrffjjj?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from clece.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*h + 405*h - 4*o + 82 = 0, -822 = 393*h - 2*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 0.33, 1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4408 divided by 19\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/9)\/8 - (-80)\/15. Suppose 0 = o*a - 5*c + 605, 4*c + 13 = 17. Do -120 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1516\/(-6)*2\/(-4)*-3. Let s = 535 + y. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 217637 and 10?\nAnswer: 2176370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -23, 3, -2 in decreasing order.\nAnswer: 5, 3, 0.5, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3*n**4 + 8674*m**3*n**3 - 89412*m**3 wrt n.\nAnswer: -8*m**3*n**3 + 26022*m**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062 divided by -3.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - l + 1. Let w(f) = -7*f**2 + 20*f + 8. Let d(n) = -h(n) - w(n). List the prime factors of d(9).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 141, 408, 885, 1632?\n\"Answer: 10*f**3 + 15*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.023 + -5.923. Let x = 0.9 + o. Let v be 2 - 9\/(-3) - 3. Which is the second smallest value? (a) -6 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7362*s**4 - s**3 + 5961*s**2 wrt s.\nAnswer: 176688*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/5 + 56*f**2\/5 + 4689*f\/5 - 14544\/5 = 0.\nAnswer: -48, 3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 54 = 62. Let p be 3\/(z*(-2)\/8). Let v be (27\/(-4))\/(3\/(-12)). Calculate the greatest common factor of v and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 9, -2\/5, 3, -3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17194 + 9860 = p. Suppose -4*s + p = 2*g - s, 4*g - 2*s - 54076 = 0. Let d = 243259\/18 - g. Find the common denominator of d and -11\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.8 times -10\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t + 5*t - 21*t + (1 - 1 - 3)*(3*t - 3*t - 2*t).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*f - 50 = 0, -44 = 2*y - 2*f + 8. Let s be 459\/12 - (-7)\/y. Which is smaller: 39 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l**2 - 13*l + 49. Let g(c) = 46*c**2 - 42*c + 147. What is -4*g(d) + 13*n(d)?\nAnswer: 11*d**2 - d + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-5358)\/894 - 3)\/(-3 - -4). Which is the smallest value? (a) 0.2 (b) 1\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(5 - 2)*(-2 - -2 - 180\/168)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t + 189. Let f be d(-31). Let o(b) = b**3 - 6*b**2 + 4*b + 7. Let u be o(5). Put -5, f, u in descending order.\nAnswer: f, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffoffffffkofk. What is prob of sequence fof?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 45*z**2 - 8*z - 23. Let w(r) = 39*r - 17. Let l be w(1). What are the prime factors of q(l)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y + 74*y + 384*y + 113*y to the form i*y + t and give i.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 2668. Let v = o + -8081\/3. Let j = -2843\/111 - v. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -274*y - 5. Let d be (2 + 0)\/(-1*2). What is the tens digit of v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/20)\/((-275)\/2750)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-4) - (1 + 3\/1). Let q be n + (2 - -2)*1. Let z = -1.3 + 6.3. Which is the fourth smallest value? (a) 0 (b) 3 (c) q (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and 22713939773.\nAnswer: 22713939772.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13788 divided by 2298\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111957 and 28407.\nAnswer: 1903269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/200 and 43\/66340?\nAnswer: 663400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 53\/33524268 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, 4, 1, 250 in increasing order.\nAnswer: 0, 2\/5, 1, 4, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:13 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -23)*(15\/20 + -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k. Let g(i) be the second derivative of i**4\/3 - 6*i. Determine g(v(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 less than 596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6552 and 20696.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/50 and -101\/1260.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 44 + 22. Suppose -4*p + 302 = -d + 33, 0 = -2*p + 4*d + 124. Let q = -4 + p. Calculate the remainder when q is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76568.\nAnswer: 2, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 20)*184\/12. Let f = 188 + l. Let d = f - -176. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2332493, 4665011, 6997553, 9330119?\n\"Answer: 12*h**2 + 2332482*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 - 261. Suppose -18*h = -75 - l. Suppose 2*s = 6*s - 2*p + 6, 4*s - 4*p + 12 = 0. Sort -1, 3, s, h.\nAnswer: -1, s, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 17, 28, 39, 50?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 91. Determine l, given that z*l**5 + 76*l**4 - 31*l**3 - l**3 - 16*l**2 - 50*l**5 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 32670*h**2 + 224183913*h + 439451127304.\nAnswer: (h + 4267)**2*(h + 24136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8431 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1069 + -1125. Are y and -65 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 57687*g. Let m(r) = -41*r**2. What is m(c(y))?\nAnswer: -136439388729*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1301 + 1522. Calculate the remainder when i is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210112?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v + 0 - 10*v - 9. Calculate the remainder when 62 is divided by j(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2544, 2548, 2546, 2538?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 81.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 + 2*z**3 + 4 + 63*z - 3 - 62*z to c*z**3 + n*z**2 + y*z**4 + a + d*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 682675*f**3\/2 + 283320*f**2 + 62814*f + 1640.\nAnswer: (5*f + 2)**2*(27307*f + 820)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 524\/3 - 174. What is the third smallest value in 3, -14\/9, 2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let g(n) = 2*n**3 + n + 2*n**2 - n**v - 3*n**2. What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*h**2 - 4*h**2 + 6*h**2)*(-470 + 941 - 357*h - 471).\nAnswer: -9282*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -8, -2, -3 in increasing order.\nAnswer: -8, -5, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 4\/3 (c) -190 (d) 4 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1969292130 or -1?\nAnswer: 1\/1969292130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0086143 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26308.74672 + -26329. Let m = 12.74627 - h. Let c = m - 33. Round c to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3982*l - 1947*l + 2558560 + 361877 = 19032*l for l.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10770 + 389029. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 7 - (-5)\/(10\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 3. Suppose d = 2*d - c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, l: 1, f: 1, d: 1}. What is prob of sequence el?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + i - 41 = 0, 39*x - 38*x - 4*i = 6 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + 0.4.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 7\/((-28)\/(-4016)). Suppose 0 = -5*l + k - 0*k + i, -5*l + 3*k = -1006. Let p be l\/30 + (-4)\/6. Solve p*q - 4*q = -5*f, -5*f + 30 = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + -10.19. Let m = -77\/17 + 402\/85. Put -0.3, m, i in descending order.\nAnswer: m, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1936 - -304. What is the hundreds digit of h\/(-9)*(-3 + 105\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from uuzlzlhzuiuzlwuuil?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2268899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 4 + 1)*(-951*s**3 - 926*s**3 - 468*s**3).\nAnswer: -2345*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + ((-18)\/(-2))\/(7\/462). Let q = i + 199. Suppose -h = 7*h - q. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 3)*(t - t + 2*t) + (-15 + 5 + 12 - 3*t)*(2 + 4 - 5) to c*t + v and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/10195710 and 43\/1410.\nAnswer: 10195710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11822783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 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: What comes next: 13541, 27031, 40507, 53969, 67417?\nAnswer: 80851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - u + 37 = -0*n, 5*n - 5*u = 55. Let p(r) = -7 + n + 5 + 2*r. Calculate the smallest common multiple of 18 and p(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.014 and -2230.\nAnswer: 31.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -608, 0.06, -0.74 in descending order.\nAnswer: 0.06, -0.74, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -r - 0*g + 22, 0 = -3*r + 4*g + 62. Suppose 13 + 2 = 5*u. Suppose -141 = -u*m + 54. Calculate the greatest common divisor of r and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (2 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a928 + -21568?\nAnswer: -11740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*g + 9*b*i + b - 7*g*i + 2*g + 3*i - 44 with respect to i.\nAnswer: 9*b - 7*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2185*i - 172619. Calculate a(-79).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 - -5)) + 9 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/15 + 2*n**3\/3 + 32*n**2\/5 - 88*n\/3 + 448\/15 = 0.\nAnswer: -7, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 71*y - 74*y - 201, y - 167 = -3*c. Suppose 0 = 4*v - 777 - 79. Calculate the remainder when v is divided by c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101010 (base 2) to base 5\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 467 = 6*o - o, -235 = -m - 4*o. Let k = -129 + 150. What is the greatest common divisor of k and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*m - 6471855 = 36*m - 262294. What is the ten thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.0761 litres in millilitres?\nAnswer: 984076.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210020822 at most 210020823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -5, 107, 363, 811, 1499, 2475, 3787?\nAnswer: 5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320)*-1)**2 - (sqrt(20) + sqrt(20)*1)) + 4)*-5.\nAnswer: -1620 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Let c(r) = -r + s*r - r + 2*r. Let u(o) = o. What is u(c(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -170*j + 4732. What are the prime factors of m(-8)?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*p - 13 = 0, -3*l - 15 = -14*p + 11*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.453414nm in kilometers?\nAnswer: 0.000000000003453414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -39391994.8\nAnswer: -39391989.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 9*i + 13. Let z be n(-6). Let y = z + -219\/7. What is the nearest to -2\/13 in 0.2, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -10, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/2)\/(-18*6\/1044))\/(142\/1704)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + x + x + (0*x + 3*x - 4*x)*(-2 + 4 + 0))*(-3 + 15 + 2) - 2*x + 2 - 2 - 5*x + x + 0*x to o + u*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -235 - -1177\/5. Which is the second smallest value? (a) g (b) 0.5 (c) 2\/21 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307 a factor of 41446731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1 - 1*-2). Let d(z) = z**3 + z**2 + z + 20. Let u be d(x). Suppose -5*l + u = o - 5, l = 5*o + 31. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-498)\/4)*60\/(-50). Let j be 6\/(-4) + w\/14. Suppose 2*q + 3*c = j, -2*q + 4*c - 12 = -0*c. Solve 2*r = -q*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*l = 24, l - 4*l - 4 = -4*q. Suppose q*u + 63 = 7*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1072?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - t - 2*t + 4, -n - 5*t = -18. Is 5 a factor of (-3)\/(n*((-7)\/4 + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*-25739011\nAnswer: -77217033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890244?\nAnswer: 2, 3, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(95) - -2*sqrt(95)) + sqrt(95)) + sqrt(95))\/(sqrt(125) + sqrt(125)*1 + sqrt(125)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 42 = 3*q, 7*l - 4*l = 4*q - 3 - 53 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 2 k when four letters picked without replacement from {a: 1, z: 3, h: 1, c: 3, k: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 124410.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - 36. Suppose 0 = p*r - 5*r + 8684. Let q be r\/(-364) + (-1)\/4. Are 6 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/4 - 348*b**3 - 161361*b**2\/4 + 348*b + 40341 = 0. Calculate b.\nAnswer: -238, -226, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17246 + 17416. What is the greatest common divisor of 40 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -6, 0.5.\nAnswer: -6, -2, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t + 3*t)*(-2*t - 201 + 7*t - 3*t - 298).\nAnswer: 4*t**2 - 998*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 8*g - g)*(2*g**3 - g**3 + 2*g**3 + (-g + 2*g + g)*(-3*g**2 - g**2 + g**2)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*t + 6, -2*t + 5*r - 98 = -5*t - 64 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 2\/105, -3, 3?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063398229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - -335. Let z = 351 - t. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714 - 252 = -126*u + 80*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 64*j**3 + 31*j**2 - 56*j + 84. Does 53 divide y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -496847\/5 and -99368 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 366 - 627. Let v = -258 - o. Solve -3*i + 0*i = v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (0 + (-3 - -49)) - (-2 - 17).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/((-2)\/(-12)). Let m = 0 - 0. Suppose -2*y - w*p = -3*y - 9, 4*y - 4*p - 24 = m. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046482 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-1) - (2 - 3). Let j be (4\/q)\/(1\/(-4)). What is the remainder when j*-5*(-7)\/5 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 7*r**2 + 5*r + 1. Let z be -1 - (-14 - (-25 + 7)). Let l(q) = q**3 + 6*q**2 + 4*q + 1. What is z*l(n) + 4*w(n)?\nAnswer: 3*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - k)*(69 - 19 - 28) to b*k + q and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - 8) + 59 + -50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5410845895\/(-3420) - 4) + -2. Let x = 1582125 + m. Let g = x + -3\/76. Find the common denominator of g and 81\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.69 + 0.19. Let r be (-4)\/(-6) - 1\/((-9)\/39). What is the smallest value in -6, r, d, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11004577*h**5 + 2529753*h.\nAnswer: -220091540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 5 + -12 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 5. Determine u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 70 = 2*l - 0*l, 0 = -3*o + 2*l + 50. Let k be 13\/52 + 71\/o. Is k equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310331 + 113101?\nAnswer: 2030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 604238\/43 or 14052?\nAnswer: 604238\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1) - (-595)\/(-220). Let x = 47\/10 - 577\/110. Let u = x + v. Which is greater: u or -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -51*o + 1. Let s be (-24)\/(-1)*(1 + -2 + 0). Let a be d(s). Suppose 0*j - 1231 = -3*j + 5*k, -3*j + a = -2*k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 4*i + 0*i + 16. Let b be h(-11). Solve 0 = -b*t + 12 - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgsqjhghssjshs. Give prob of sequence jssj.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(110) + sqrt(110))\/(sqrt(160) + sqrt(160)*2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 - -1)) + (-3 - (0 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 372 + -370. Let r(m) be the first derivative of 3\/2*m**x + m + 1\/4*m**4 + m**3 - 3. Solve r(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 12:41 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 + 4 = 0, -3 = g - 5*z. Let y = g + 30. Suppose -36 = y*w - 9*w. What is the least common multiple of 46 and w?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23324076.\nAnswer: 2, 3, 647891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18 = -4*g, 4*g - 5*g = -2*b + 1. Let v(h) = 2*h**2 + 4*h**2 - b*h**2. Let z(w) = 2*w. Give v(z(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 20 = -2*p, 16 = -4*i + 4*p. Suppose -3*z - 2*q + 26 = 0, -5*q + 9 + 11 = i. What is the greatest common factor of 30 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 28 = 5*f. Suppose 0 = -p - 0*s + 2*s + 5, f = p - 5*s. Factor -17*z**3 + 30*z**3 - 2*z**2 + p + 3*z - 3 - 17*z**3 + z**5.\nAnswer: (z - 2)*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8321135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -108, -252, -454, -714, -1032, -1408?\n\"Answer: -29*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3731 - 7934847542.\nAnswer: -7934847542.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37585 - -1843. Suppose r + 78572 = -2*w. What is w rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 224352894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 163\/130 + ((-42601)\/(-290) - 147)\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3957.7706\nAnswer: 1187.33118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i + 117. Let u be p(10). Let z(m) = 3*m + 3 + 0 + 0. Determine z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3*-1 + 0. Let h = 8 + q. Suppose -4*v - h = -6*v. Solve 3*g + 6 = 5*a - 3*a, 0 = -v*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 3*b + 4*b)*(73*b - 38*b - 37*b - 12) to the form s + p*b**2 + z*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599061952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.7 + 15. Let k = z + -0.3. Is k smaller than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 5453511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(3801*m + 3428*m - 7618*m + 2*m - 5*m + m + 5*m - 2*m - 4*m + 0*m + 4*m - 3*m + (5 + m - 5)*(-2 + 3 - 3)) - 3*m - 4*m + m.\nAnswer: 387*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -944, -2095, -3708, -5789, -8344, -11379, -14900?\nAnswer: -18913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 1, n: 5}. What is prob of sequence fnn?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 270*m**2 - 2 - 263*m**2 in the form q*m**2 + f*m + g and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/114 + 11*o**3\/57 - 252*o + 1. Factor w(i).\nAnswer: 2*i*(i + 11)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(-13)\/v))))**(1\/16))**(-2\/187) assuming v is positive.\nAnswer: v**(-15\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1655*v + 6622. Give z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 534319237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-353)\/5 - -3 - 36\/6. What is the nearest to a in 5, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/242 + (-24)\/(-11) - 3. Sort -5, h, -16, 0 in increasing order.\nAnswer: -16, -5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -175.\nAnswer: -33\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*d + 12 = 0, -5*j - 2*d + 6 = -3*j. Suppose -j*v + 358 + 122 = 0. List the prime factors of v - (-3 + (-21)\/(-6))*0.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -72. Let y = -24 + d. Suppose -4*a + y*a + 39 = t, 4*t - a - 99 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5, -2*r + 20 = 5*i - 7*r. Let l be (0 + i - 3) + 2. Find the second derivative of 3*g**l + 3 - 3 - 3*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 times -672386?\nAnswer: -264920084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 2:20 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 2. Let j = -6.1 + h. Sort -1, 2\/3, j in decreasing order.\nAnswer: 2\/3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0 + 1\/3*s**3 + 1\/60*s**5 - 5*s**2 + 0*s - 5\/24*s**4. Suppose 10 = 4*w - 2. Calculate g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2081*r - 1 + 1038*r + 1050*r + 1.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a8a4a (base 13) to base 9.\nAnswer: -11316668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*m + 11, 3*l - 7*m = -2*m. Let k(n) = -7 - 1 - l - n + 3. Let s be k(-9). Put s, -4, -5 in decreasing order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/((-87)\/870).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f**2)*(-2*f**2 - 3 + 3) - 3*f**2 + 3*f**2 + 3*f**4 - 756*f**3 - 12*f**4 + 2*f**4 + 811*f**3 + 5*f**3 - 5*f**3 + 2*f**4.\nAnswer: -9*f**4 + 55*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 4. Let u be 21\/(-6)*(-5 + 3). Suppose h + 10 = u. Give a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - c + (-2 + 1 - 1)*(-3*c + c + 4*c) + 3 - 2*c - 3 + (0 - 4 + 2)*(-3*c + 2*c + 2*c) + 2*c - 7*c + 3*c + 13*c - c + 12*c)*(-4*c**2 + 2 - 2).\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 0\/((-3)\/(0 + -3)). Suppose -p*k = -8*k - 8. Suppose c = 7*c + 18. Sort c, -12, k, -1.\nAnswer: -12, k, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19145 and 700?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = -50. Let w = -5 - v. Suppose 1 = 5*l + w. Which is smaller: 1\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35768\/7890 + (-20)\/6. Suppose 3\/5*n**2 + w*n + 0 = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-54*38\/(-1368).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = k. Suppose -k*x + 6 = -4. Suppose 0*w + 0 + 2\/5*w**3 + 0*w**x = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5 + 400*h**4 - 6738*h**3 + 37224*h**2 - 77544*h + 46656 = 0.\nAnswer: -216, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -425394309 divided by 3?\nAnswer: -141798103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 11*b**2 + 24*b**2 - 12*b**2 - 9*b**2 - 10*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6631239.\nAnswer: 3, 2210413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 24 - 12)*(0*r - r + 2*r).\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**11\/27720 + c**7\/840 - c**4\/8 - c**2. Let a(f) be the second derivative of j(f). Find the third derivative of a(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -588, -548, -508, -468?\n\"Answer: 40*y - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.4 and 0.2863.\nAnswer: -3.1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4, 4\/7, -0.3, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344372691.\nAnswer: 3, 13, 8830069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056994150 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)*d*d*d**(2\/7)*(d\/(d\/d**(-2\/7)*d)*d*d*d)\/(d**(-3\/4)\/d) assuming d is positive.\nAnswer: d**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38968.12701 rounded to the nearest 10?\nAnswer: -38970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6531 (base 7) to base 10\nAnswer: -2325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -784144.73 rounded to the nearest one hundred?\nAnswer: -784100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 2*j - 2. Let n be (0 - 4)*(-6)\/24. Let w(c) = c**2 - c - 1. Let k(x) = n*q(x) - 5*w(x). Calculate k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 7*r**2 - 6*r. Let k be w(-6). Suppose 5*t - 5 = -2*s, 3*t + k - 3 = -s. Suppose n - 1 - t = 0. Solve n*p = -a - 3*a + 24, p - 2*a = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 28793 = -o, 5*o + 5403 - 34220 = -3*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 - -375.7. Let s = u - 370.5. What is the biggest value in 2\/3, s, 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011322 (base 5) in base 10?\nAnswer: -407087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/11 - 6*o**3 - 540*o**2\/11.\nAnswer: -2*o**2*(o + 15)*(o + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-3)*h))**(-38)\/(h*h**(-3\/7))**(-8\/9) assuming h is positive.\nAnswer: h**(-7150\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*b*j**3*o**3 - 4*b*j**3*o**2*z - 33*b*j**2*o**2 - 365*b*j*o**3*z + 2*j**2*o**2*z wrt o.\nAnswer: 102*b*j**3 - 2190*b*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5243 and 6209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5203*n**2 - n + 4217.\nAnswer: -10406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -9149?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -2. List the prime factors of t\/(-6) - 6\/(90\/(-965)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 m, and 1 c when four letters picked without replacement from mmzaccay.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = 2*b + 18, 5*b + 45 = 10*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 484.4 - 530. Let z = g - -44. Let q = 2.56 + z. What is q rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -2*d + 118, -61 = 17*z - 20*z - 2*d for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tusthmb. What is prob of picking 1 u and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 34 = -2*d - d, -5*n + 15 = -d. Let m(h) = h**3 - 6*h**2 + h - 6. Let p be m(6). Let c = p - d. Solve c + 5 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, z: 4}. What is prob of sequence zdzz?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/121)\/((-46)\/(-276)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 465924.3kg in micrograms?\nAnswer: 465924300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 12:22 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**4 + 17*b**2 - 17*b**2 - 1 wrt b?\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -162, 2 in ascending order.\nAnswer: -162, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/8)\/(-9*(-2)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 372368 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32070 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0721 and 0.6.\nAnswer: 0.6721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5 - 44*v**4 - 72*v**3.\nAnswer: -4*v**3*(v + 2)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3 (c) 1.6 (d) 0.5 (e) 5 (f) -245.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2233, 2\/59, 2, 5, -111?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 716\/18 + (2\/9 - 0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685489769 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6565913717?\nAnswer: 11, 41, 355087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2894 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/294 and 185\/5712?\nAnswer: 39984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3244 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) 0.11 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**9\/9072 + u**8\/2520 - u**7\/2520 - u**6\/540 - u**3\/6 + u**2. Let y(t) be the first derivative of n(t). Solve y(q) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(12)\/sqrt(2)*4)\/sqrt(2).\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7341263 and 6061?\nAnswer: 1534323967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141918 is divided by 381.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4\/2 - 42*m**3 + 649*m**2 - 2070*m + 2925\/2 = 0.\nAnswer: 1, 3, 15, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-10\/11)*y**37)**(3\/2) assuming y is positive.\nAnswer: y**(612\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29895287, -59790576, -89685865, -119581154?\nAnswer: -149476443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10865*r**2 - 119535*r + 202. Determine m(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023472 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvrror. Give prob of picking 1 r and 1 v.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (565 - 555) + (1 + 0 - (-5 - -103)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -251*m**4 + 251*m**4 + 8*m**5 + (7*m - 23 + 23)*(0*m**4 - 2*m**4 + 0*m**4) + (-m**2 + m**2 - m**2)*(0 - 2*m**3 + 0).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23798 + 3684.1735656.\nAnswer: 3684.4115456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*g = 1, -g = -5*j + 3*j - 1. Suppose 4*y = 2*y + 10. What is the third smallest value in j, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 462.74.\nAnswer: 46.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4182 to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggogg. Give prob of picking 1 g and 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 - 231.6. What is the fourth smallest value in 0.1, -2\/5, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from ykykykyyyykyyykyyk.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 1998382*j**2 - j + 1998364*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -u - 9 - 7, 5*f + 5*u = -20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 2*t - 5. Let d be x(4). Let q(z) = 3*z - 3. Let r be q(d). Let h = -667 - -667. Solve h = 5*w - 2*u + 27, u = -2*w + r*u - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/2337680 or -1?\nAnswer: -17\/2337680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 29532591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Suppose -49 = -g*s - 14. Let v(f) = f**2 + 13*f - 196. Let n be v(9). Solve -c + s = 2*c - z, 2*c = n*z + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6691508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6514 - 6507.133. Let r = c + -6.8. Let t = r + -12.967. Round t to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**3 - 3*x**2 + 2. Let d(o) = -o**2. Calculate -3*d(j) + q(j).\nAnswer: 7*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10 + 4)*(-2*i - 21 + 42 - 19).\nAnswer: -50*i + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149955*o**5 - 106*o**2 + 2*o + 91 wrt o.\nAnswer: 8997300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 12, -211073, 2\/3, 2\/5.\nAnswer: -211073, 0.3, 2\/5, 2\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/(w\/(w*w**(-1\/47)*w)))**(-44) assuming w is positive.\nAnswer: w**(8316\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + 2. Let x be g(-5). Calculate the lowest common multiple of x\/1*(-1 - -7) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 41358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (16 - 4)) + 57.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 706*g - 63. Let m(w) = -471*w + 45. Let z(b) = 7*m(b) + 5*u(b). Let o(a) = -9*a. Give z(o(l)).\nAnswer: -2097*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 753 - 2105?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let b(o) = -2*o**2 - 94*o + 165. Determine b(c(v)).\nAnswer: -2*v**4 - 94*v**2 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(48)\/(sqrt(24)\/sqrt(4)) + (sqrt(24)\/(3*sqrt(3)))**2.\nAnswer: 2*sqrt(2) + 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2. Let k(j) = -4*j**2 + 2*j + 2. Let l(s) = -5*s**2 + 3*s + 3. Let h(p) = -3*k(p) + 2*l(p). Determine w(h(r)).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*y - 1161*y + 27 = -2*j, 36 = -4*y - 4*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -3. Suppose 5*s = 2*d - u - 109, -d = -4*s - 60. Suppose -11*t + d = -8*t. Calculate the remainder when 37 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {a: 8, g: 2, v: 1, t: 1, w: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 188.7 - 76.2. What is g rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*l**2 + 59*l**2 + 634*l**2.\nAnswer: 876*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*(-5)\/15*3. Let g = 3 + m. What are the prime factors of g\/2 - (-61 + 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*c + 531 + 5249. Solve 0 = -8*f + 42*f + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*n + 177*n + 11144*n**2 + 3800*n**2 - 104*n + (-n**2 + 3*n**2 - n**2)*(0 - 3 + 2) to q*n + s + t*n**2 and give t.\nAnswer: 14943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/20*p**5 - 1\/6*p**3 - 1\/3*p**4 - 2*p + 1\/2*p**2 + 0. Suppose r - 20 = 5*c, 4*r + 16 = -4*c - r. Determine j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51081152 - 3?\nAnswer: 51081149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (-15 + (0 - 2) + 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266586249?\nAnswer: 3, 59, 1506137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*h = -5, 11 = 2*g - 25*h + 20*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -125\/68749?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/7 + 2348*o**2 - 22517319*o\/7 + 15004242\/7 = 0.\nAnswer: 2\/3, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2 - 10 + 8*u + u + 16*u.\nAnswer: -5*(u - 2)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 46224*a. Let s(j) = 5*j + 56. Give s(x(q)).\nAnswer: 231120*q + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*v - 30. Suppose 9 = -v*l - 6. Which is the nearest to -1? (a) l (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 7*x**2 + 10*x - 3. Suppose 2*z + 2*z - 4*j + 16 = 0, -z - j = 14. What is the tens digit of p(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:39 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 2*v**5\/15 - 2*v**3 - 4*v. Let d(l) be the second derivative of y(l). Let c(m) = -2*m**2. Calculate c(d(a)).\nAnswer: -512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 91754?\nAnswer: 91740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (5 - (-2 - -1 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1610*y + 213. Is d(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/4 (b) -22 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3783 - -0.59882. Round l to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -119*q**2 + 49*q + 49. Let c(s) = -5 - 5 + 18 - 5*s**2 - 6 - s + 3*s. Determine 98*c(v) - 4*o(v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 3, 74, 61\/2, 2\/3?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 1 (b) 4 (c) -231\/5 (d) -4\/5 (e) 5 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85831\/13 + 6601. Sort 2\/7, s, 3\/4, 3 in descending order.\nAnswer: 3, 3\/4, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, 1, -2, -3 in decreasing order.\nAnswer: 1, -2, -3, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166022610 (base 7) to base 14.\nAnswer: 1732db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.23 + -0.45. Let k = b + -0.02. What is k rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 32989.\nAnswer: 329890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {z: 2, n: 10, v: 5, r: 2, a: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g + 14 = 65*g. Solve -h + 4*c = -6 + 21, 0 = -g*h - 4*c + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-6) + 2\/3. Suppose i*h - 12 = h. Let u(q) = -2*q**3 + 3*q**3 + 3*q**2 - h*q**2. Determine u(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*g**5 - 94*g**4 - 1859*g**2 + 27*g - 1934319?\nAnswer: 640*g**3 - 1128*g**2 - 3718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 2*v - v**3 + 2*v + 2 + (0*v**3 + 2*v**3 - 4*v**3)*(0 + 2 + 0) in the form z*v**2 + h*v + n + d*v**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 9*f - 7. Let b be d(-11). Suppose 62*j = 65*j - b. Solve -5*c + j*h - 20 = 0, c - 12 = -2*c - 5*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6609*f - 804903 = -6620*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-342)\/(-95)*20\/12*28\/(-6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24.03162 weeks?\nAnswer: 168.22134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 1, 0.5 in decreasing order.\nAnswer: 4\/3, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -8, 8, 15\/4, -142, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 33. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 9.36 (c) 1012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 18*n**3 + 1. Let x be u(1). Let i = x - 13. Let b(s) = -s + 8. Give b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 + 4*d**2 - 5*d + 1. Suppose -38 = c - 40. Let f(p) = 1722 + 5*p**c - 1721 + 4*p**3 + 3*p**3 - 6*p. Let m = -5 + 10. Give m*g(a) - 4*f(a).\nAnswer: 2*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 2 (c) -1 (d) 42.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101 + 1?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 6. Let d be h(-5). Let c = d - -8. What is the remainder when 35 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-13)\/80) - (-112)\/728.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -13 - 7. Let w be (-119 - -4)*(21\/15 - i). Let d = -55 + w. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3396 + 4692 = 18*h. Solve 35*v - h - 33 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163151466*b**5 + 175205529*b?\nAnswer: -3263029320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 4143064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -122, -1\/20, -2?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 2298483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(5\/(-10)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 1\/150*c**5 + 0*c - 2\/15*c**3 + 1\/525*c**7 + 0 + 1\/20*c**4 + 4*c**2 - 1\/100*c**6. Suppose b(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*a + l - 9 = 1025*a, -4*a - 24 = -4*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((70\/(-15))\/(16\/(-36)))\/(9\/12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + -28. Let m = t + 94. What is the highest common factor of m and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*v = -79*v + 10. Sort -2\/13, v, -0.3, -4 in decreasing order.\nAnswer: -2\/13, -0.3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 595 - 12*o**3 - 188 - 182.\nAnswer: -12*o**3 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 131 in increasing order.\nAnswer: -2, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15446 = -5*c + 7*c. Suppose 2*m - f = c, -2528 = -m - 3*f + 1323. What are the prime factors of 1\/(-5) - m\/(-50)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144031 - 123?\nAnswer: -144204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97230.66 kilometers in micrometers?\nAnswer: 97230660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22014, -21574, -21144, -20730, -20338, -19974?\nAnswer: -19644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-13 - -5)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z + 40*z - 7 - 5 + 34*z - 110*z.\nAnswer: -2*z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*u - 11*u = 34, -9*u + 3 - 16 + 2 = 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16 - 5\/((-5)\/(-3)). Suppose g = 6*a - 17. What is the third derivative of -18*j**2 - 9*j**3 + 9*j**3 + 11*j**a wrt j?\nAnswer: 660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(((-2140)\/660)\/(-107)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10448504?\nAnswer: 2, 11, 37, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 19*c + 91. What is the least common multiple of 24 and y(-7)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 89*h**2 + 98*h**2 - 14*h - 2*h**3 - 5 - 189*h**2 to the form l*h**2 + x*h**3 + r*h + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 + 3. Suppose 4*r = -l + 22, -r + 0*l - 2*l = -9. Find the third derivative of 2*c**r + 2*c**2 + 0*c**w - c**2 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94135\/1428 + -1355\/21. Let k = j + -11\/17. Let x = -1\/2 + k. Put 3\/5, x, -4 in decreasing order.\nAnswer: 3\/5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2*1)*(-19 + 21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44587.0259 + -44591. Let v = i - 0.0259. Let k = -0.1 - -0.1. What is the nearest to k in 0, v, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 804\/(-231) - 2\/22. Let b(t) = -6*t**3 - 2*t**2 + 1. Let o be b(-1). Suppose -4 = -2*k + 3*c - 2*c, o*c + 20 = 0. Are l and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19469141 + 19469141 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**7\/63 - 2*g**6\/15 - g**5\/6 + 8*g**4\/9 + 4*g**3\/3 - 16*g**2\/3 + 21*g. Solve y(x) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = -5*t, -4*q = -t - 7*q + 16. Is 87 - t - (1 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 r when four letters picked without replacement from krrrrrrrkrrrrkrrrr?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17448 - -3.17448. Which is the smallest value? (a) -0.7 (b) -5 (c) -0.2 (d) w (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/15)\/((-6)\/15). Solve -d + 6*d = -2*x + l, -4*d + 21 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*k + 2488*k - 827*k - 832*k - 9*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*a**2*l**2 + 2*a**2*l + 31*a*l**2 - 23*a - 57*l**2 - 6628*l wrt l?\nAnswer: 162*a**2 + 62*a - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (9 + -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3841749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -3 - (8 + (11 + 9 - 9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -317, 5, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/656, 2\/7, 24.23?\nAnswer: -1\/656","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.1, 0.02, 23.849, -1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:26 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 2*g**2 + 2*g + 4. Let d(c) = -2*c**3 + 2*c**2 + c + 3. Suppose 5*i + 5*v = 15, 4*v + 9 = 5*i - 6. What is i*b(o) - 4*d(o)?\nAnswer: 2*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11526 divided by 11526.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - 1e20a0?\nAnswer: -1e20b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 - 7*a - 1. Let s be t(-2). Calculate the highest common factor of s and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (23 + 8 + -19 - 4).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k + 224 = 91*k - 49*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-18))\/((-4)\/(-120)). Let y = 7 - z. Let i be (-16)\/20 - y\/10. What is the nearest to 1\/7 in 1\/5, i, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8556.539s in nanoseconds?\nAnswer: 8556539000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246913704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2235, -4483, -6729, -8973?\n\"Answer: i**2 - 2251*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 2. Let y be 21\/(-126) - (-20)\/12. What is the nearest to m in -2\/3, 1\/9, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ca - a34c?\nAnswer: -a616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-15 + 9 - -94) - (-3 + 15)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 86*w**2 - 1326*w + 400. What is z(66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 14. Let x(r) = r - 5. Let y(z) = 3*d(z) + 8*x(z). Let g be y(-4). What is the second derivative of -5*q**4 - g*q**2 + 4*q + q + 6*q**2 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*d**2*j**2 + d**2 + 2*d*j**2 + 274*d*j wrt d.\nAnswer: -58*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 5124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30338.71 days to microseconds.\nAnswer: 2621264544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 5 - 2 - v + 8*v. Let u(a) = -11*a - 7. Suppose 5*h = 122 + 103. Suppose -10*b = 5*b - h. Calculate b*u(f) + 7*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.78187 - 24.\nAnswer: -23.21813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/9*(-8)\/18)\/(18\/(-27)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358903964 and 9872.\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22206973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**5 + n**5 + 2*n**5)*((70 - 15 + 22)*(-5 + 3 + 4) - 4 + 2 + 1).\nAnswer: 153*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/60 and 181\/1140.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 22042?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1284*g + 1289*g = -5, -5*f = 3*g + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 40. Let k(m) = 2. Let x(v) = -40*k(v) + 2*n(v). Let u be x(1). Let p = u + 8. Solve p = 5*f - 0 - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a78 + 1?\nAnswer: -a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86489397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:35 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - p + 16, -2 = -2*a + 4*a - 2*p. Let n = 2 - a. Is n > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:19 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/4 (b) 0 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 20. Suppose 2*n + z = -j*z - 18, -3*z = -3*n + 9. Let w be 1*-1 - (-9)\/12. What is the closest to -0.2 in -3\/4, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4807257.763 to the nearest one hundred.\nAnswer: 4807300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3604\/28155 - -10\/1877. Which is the nearest to 0? (a) s (b) 2\/5 (c) 30 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - (5 + -16 + 7)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v + 6. Let o(n) = -11*n - 3. Let g(k) = -3*i(k) - 5*o(k). Let f be g(-2). Calculate the greatest common factor of f and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/851 - 1708\/2553. Let x be ((-1)\/16)\/(29\/58). Which is the second smallest value? (a) x (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286619 is divided by 239?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2\/9)*r*r))\/r**(2\/13))**47*((r*r**(2\/13))\/r**(-6))**29 assuming r is positive.\nAnswer: r**(19150\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 2*sqrt(125)) - (sqrt(10)\/((sqrt(200)\/sqrt(10) + sqrt(20))\/sqrt(10)) + 5).\nAnswer: -121*sqrt(5)\/2 - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33693797 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 21. Let b(j) = -2*j**2 - 14*j + 3. Let v be b(g). Suppose -8 = -v*r + c, -4*r - r - 2*c = -28. Solve -3 - 14 = -d - 5*q, -r*q + 4 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -557 - 656612?\nAnswer: -657371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 3*u - 19, 4*y - 2*u = 26. Suppose -3*z - 8 = -4*d, d - y*d + 5*z = 0. Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6))\/q**(-26)*q**(-19)*q*(q*q*q*((q\/(q\/(q*q\/q**(-17)))*q)\/q)\/q)\/q assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**4 + s**2 - s - 1. Let d(j) = -8*j**5 - 6*j**4 - 14*j**2 + 6*j + 6. Let a(l) = -d(l) - 6*x(l). What is the third derivative of a(u) wrt u?\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*q + 19, 0*q + 4*q + 2*p = 4. Let j be (1 + 3)*(-1)\/q. Suppose 3*h = 9, i + j*h = -2 + 77. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = 180. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxrrmxxxmym. What is prob of picking 1 m, 1 y, and 2 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 15 = -2*n, n = 27 - 23 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62527220 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - -4) - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109 + 1109 - 575*r.\nAnswer: -575*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o - 5. Let g be j(5). Let t be g*((-1)\/1 + 2). Suppose -5*p + t*p = -5. Solve -2 = u + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5240.59446 from 0.04.\nAnswer: -5240.55446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -b8?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 281 (c) -1808 (d) 0.02 (e) 1\/5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(30)\/(-2*sqrt(54)) - (sqrt(5) + sqrt(80) + -1 + ((sqrt(320)*-2)**2 - sqrt(5))).\nAnswer: -1279 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -385.4*0.3\nAnswer: -115.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12998*a**3*z**3 + 39*a**3 + 2*z**4 - 25 with respect to z.\nAnswer: -38994*a**3*z**2 + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1987996 or 1987995?\nAnswer: 1987996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2 + 0)*-1. Let j be m\/((-7)\/(28\/8)). Suppose -2*q + 0 = 3*h - 18, -h - 3*q - 1 = j. Which is the biggest value? (a) -2\/11 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = i + 19. Let u(c) = -2*c**2 + 25*c - 68. Let v be u(8). Let w be ((-6)\/v)\/((-3)\/i). Calculate the highest common factor of w and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 1881403 - 6701290. Let z = r + 4086099. What is z rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168410650 divided by -1.\nAnswer: 168410650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13318, 0 in decreasing order.\nAnswer: 0, -1, -13318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let l be 4\/14 + 792\/168. Let u be -7*4\/(-70)*l. Solve -4*y = u*h - c*h - 6, 0 = -2*y + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222740 + 24*t**2 - 445389 + 222649.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -11*z**4\/24 + 119*z**2 - 2. Let r(g) = g**2 + 1. Calculate r(k(a)).\nAnswer: 121*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372)\/1209 - (484\/(-6))\/((-624)\/(-72)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + 8.9. Let o = n - 14. Put 0.8, o, 0 in decreasing order.\nAnswer: 0.8, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 - 4*s + 1. Let w be g(-3). Solve -2*d + 2 = -w*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -12, -2*n - 6*t + t = 15. Suppose 4*m = 26 - 18. Let g = m + n. Solve g*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108964424 divided by -799.\nAnswer: 136376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6256119.\nAnswer: 3, 17, 241, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 374, 875, 1608, 2591, 3842?\nAnswer: 5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnncnnnnnnnnnnnn. What is prob of picking 3 n?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14843 (base 9) to base 11.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8*-12 - (1 - -1). Suppose 4*y + 5*w - 208 = 1533, -2*y = -b*w - 838. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/5*(-260)\/(-39). Suppose 5*t - 2*f = 3, 14*t + 10 = o*t - 3*f. Is 10\/41 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 2\/3 (b) 0.1 (c) -2 (d) 4 (e) 332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/20)\/(17\/(7055\/(-166))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14716 + 5?\nAnswer: -14711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96088900 rounded to the nearest one million?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 2. Let q be (1 - 9\/6)*-8. What is the remainder when 17 is divided by b(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1299704524.00000027 - -1299704516. Let r = p + 8. Round r to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -623\/2 + 1873\/6. Is -25.2 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0.95912?\nAnswer: -1.04088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t. Let r(s) = -20350*s. Calculate r(p(n)).\nAnswer: -183150*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 13*a + 10. Let z be h(-7). Solve 0 = -b + z*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -133 in 0, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 938858435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 309350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -391*h**2 + 5*h - 5. Let l(o) = -3714*o**2 + 48*o - 48. Determine 48*j(s) - 5*l(s).\nAnswer: -198*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + (-11 - 13276\/(-1056)) and -73\/99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020011001 (base 3) to base 10.\nAnswer: 83215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 4*u. Suppose u*r + 0*l = 4*l - 768, -3*l = -6. Let j = -71 - r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00082694947 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 2*n + n)*(4*n**4 + 0*n**4 - 3*n**4) + 3358 - 128*n**5 - 3358)*(23 + 0 + 25 - 14).\nAnswer: -4318*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/68 - (-23954)\/(-3451)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve l = -0*l + 4, 23*g + 1390*l + 53 = 1386*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474230 is divided by 11898?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7142707 and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 19. Let o be s(-11). What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*s**4 + 61076225*s**3 + 195445580*s**2 - 185673020*s + 39089040 = 0. Calculate s.\nAnswer: -4, 2\/5, 488613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 7*i**2 - 4*i + 4. What is the lowest common multiple of a(-4) and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f**3 + 5675*f**2 + 41935*f + 75660 = 0. What is f?\nAnswer: -4, -13\/4, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 + -8. Let k = -864 + 581. Let z = k - -278. Which is the second biggest value? (a) z (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 + 169*g + 0*g**3 - 4*g**6 + 0*g**5 + 0 + 25\/12*g**4. What is the third derivative of s(d) wrt d?\nAnswer: -2880*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 326.8. Let l = m - 25.4. What is the nearest to l in 0.3, 3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 41*k**2 - 43*k + 84. List the prime factors of w(-42).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 4. Let w(y) = -y + 1. Let a(d) = d**3 - 5*d**2 + 2*d - 6. Let o be a(5). Suppose 2 = -o*f + 6. Give f*x(c) - 4*w(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5 - 8*y**2 - 3*y**2 - 3*y**2 + 13*y**2 + 0 + 7 + 6*y. Let v be (-1)\/((-5)\/(-6) - 1). Suppose -3*r + v*z - 2*z - 5 = 0, -r - z = -10. Calculate h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300.884l in millilitres?\nAnswer: 5300884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -548.\nAnswer: -3\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18486970 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 10*l = -14. Let g be 64\/l*(-649)\/(-22). Let b = g + 3293\/28. Find the common denominator of b and 9\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748264 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2809 + 179687\/64. Let o = -5809 + 58189\/10. What is the common denominator of o and c?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28405 + -18282. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.053 in 5, 2\/3, 0.4, -5, 55?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -27. Let i(f) be the second derivative of 1\/2*f**2 - 2*f + 0 - 1\/12*f**4 - 1\/3*f**q. Calculate i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*l. Let m(r) = r**2 - 9*r + 14. Let f be m(10). Solve 0 = -3*a + l*y + 12 + 2, -2*a - f = 5*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {e: 7, h: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 1. Is (-4)\/(-16) - (-1555)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (1 - (-1 - -1)) - (1059 - 1057).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -7\/2*j**2 - 1\/3*j**3 - 3 + 5*j. Let w be o(-7). Solve 4*s + w*n - 8 = 0, 3*s - 2*s = 2*n + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y + 1152 = 0. Let l be 12\/(-18) - y\/9. Let w be ((-48)\/(-56))\/(((-45)\/l)\/(-5)). Which is the closest to -1? (a) w (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421160.5 days in seconds?\nAnswer: 36388267200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 10 + (-24)\/(-2). Suppose 2*f = 5*r - h, 0*r = -f - r + 4. Solve 3*g + f = 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026+-33490\nAnswer: -33490.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -44, -83, -128, -173, -212, -239?\n\"Answer: h**3 - 12*h**2 + 2*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090478799 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/(-16) + 20)*(28 + -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2475 and 460449.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 31 + 32 - 2*x - 100 - 49*x**4 to q + l*x**4 + j*x + y*x**2 + s*x**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + (-47)\/(-2). Let r be (-3)\/15 - y\/(-65). Let t be 15\/10*2\/(-3). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 26 = -3*b - 2*s, -3*b + 28 = -4*s. Does 39 divide (-9 + b)\/(2\/(-268))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-2)\/sqrt(10) + sqrt(6)\/(sqrt(22)\/(sqrt(11)*-2)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8631*k*w**2 + 4*k*w - 2*w + 262 wrt w?\nAnswer: 17262*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 22\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 74 = -0*a. Suppose -f + a = -0*f. Suppose -3*w - 3*n = -0*n - 30, -f = -5*w + 3*n. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 47*v**3 + v - 1. Let q(c) = -c**3 - 5*c**2 + 6*c + 2. Let s be q(-6). Suppose -4*r = s - 6. What is the remainder when i(r) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114276, 228572, 342896, 457260, 571676, 686156, 800712?\nAnswer: 915356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 277424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7688727*a**6 - 28*a**2 + 438*a + 76.\nAnswer: -922647240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 107, -834, -3055, -6556, -11337, -17398?\n\"Answer: -640*c**2 + 979*c - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -0*o. Let c(x) = -x**2 + 9*x - 3. Let a be c(6). Suppose 0 = -5*y + 3*z - 2*z, -5*y + 4*z = -a. Sort o, y, 0.\nAnswer: o, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20\/(-30) + (-1024)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -261*o**2 + 22*o + 25. What is q(-1)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2 - 2*m**2 + 0 - 2*m**2. Let n(o) = o**2 + 2*o + 2. Suppose -2*q - 4*z + 8*z = 12, 5*q - 5*z + 15 = 0. Let b be n(q). What is s(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 17. Let u(l) = -11*l + 1. Let g be u(-1). What is the remainder when h(g) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (10 + -10)) + -9 + (-3 - 1) + 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 331893741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5130586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552715.5685 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/103, 0.4, -1940, -0.1?\nAnswer: -1940","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*y = 3*y + 163, -4*y = 3*r - 228. Let n = 141 - r. Calculate the lowest common multiple of n and 5.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-19))\/((-1)\/(-7)). Let m be 4\/(-9)*1 - 1784\/(-4014). Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:19 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 19. Let n = g + 7. Let p(l) = -l**3 + 3. Let a be p(0). Solve -a*i - n = 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:37 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*w - 46*w - 3*w**2 as q*w**2 + f + o*w and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -133*a - 131. Let m be i(-4). Solve -436 + m = -5*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 10 + 40)*(u**2 - 4*u**2 + u**2) + (u + 4 - 4)*(-3*u + 3*u + 2*u) - 60*u + 61*u - 66*u**2 + 246*u**2 to n*u + p + l*u**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(1\/114856). Suppose 4*t = -0*t + s. Let v = -229621\/16 + t. Calculate the common denominator of v and -31\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -8, -334377 in decreasing order.\nAnswer: 1, -3, -8, -334377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/144 and -119\/3294?\nAnswer: 26352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155.57 - -158.57. Which is the nearest to 1? (a) r (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -724, -1097, -1502, -1951, -2456, -3029, -3682?\nAnswer: -4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47552801 = -251*i + 79013196. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134.76 - -205.24. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.69 + -1.339\nAnswer: 36.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -123*n + 18. Suppose -4*z - 2*r + 6*r + 52 = 0, -3*z = 4*r - 4. Let v be c(z). Calculate the lowest common multiple of 22 and v\/(-70) - (-1)\/5.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g + 108 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12536, 27206, 41908, 56636, 71384, 86146?\nAnswer: 100916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026127 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r + 22*r - 170. Sort 8, -5, r, -1 in increasing order.\nAnswer: -5, -1, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 22 - 4. Suppose -c - 7 = -29. Calculate the smallest common multiple of a and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, s: 4, t: 3}. What is prob of picking 4 b?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 3. Let o(n) = 2*n - 3. Let v be ((-3)\/1)\/(15\/10). Let k(m) = v*o(m) - 3*a(m). Let i be k(-5). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 23, 28, 35, 44, 55?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 573*d + 27330. What is v(-92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/20)\/((21 + -7)\/(-112)). Solve -5*m + 7 = -m - 3*d, 0 = 2*m + a*d + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujjjjuj. What is prob of sequence jju?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 2)*-5 + 5*-3*sqrt(2299))**2 + 2.\nAnswer: 4400*sqrt(19) + 919702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*c - 72, 2*b - 4*c + 115 = 7*b. Suppose 2*i = -53 - b. Let j be (i\/(-45))\/(4\/10). Let z(a) = a**3 - 3*a**2 + 2. What is z(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let s be 2\/(-7) - (-32)\/14. Calculate w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 - 5. Let f(k) = 2*k**3 - k - 1. What is -f(s) + p(s)?\nAnswer: -s**3 + s**2 + s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(26*k**5 + 413*k**2 - 413*k**2 + 11*k**5).\nAnswer: -111*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6576\/(-16))\/(-2 - (1 + -2)). What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:58 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93 + (-3 - (-3 - -1)). Let d = -2 + i. Calculate the highest common divisor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let l = -3.5 + n. Let s = -1424 + 1422. What is the third smallest value in 2\/9, s, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d + 7. Let o = d + -18. Suppose -3*q + 3*w + 12 = 0, -4*q - w + 3*w + 8 = 0. Put 1, o, q in descending order.\nAnswer: 1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 2*x + 10*x**2 + 3*x + 4*x - 2*x**3 + 3 + 5*x**3. Let r be w(-3). Solve r = 3*p - 4 - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.3953 + -0.1647. Let d = g - -0.16. Let t = -26 - d. Sort -5, 0.1, t, -0.4.\nAnswer: -5, -0.4, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**2 + 3*g**3 + 3*g**2 - 2 - 5*g**3 in the form n*g**2 + k*g**3 + u*g + r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 2:18 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 403*v - 403*v - v**2 + 5965*v**3.\nAnswer: 5965*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 475196.4749 - 58.4749. Let d = i - 475137.97000145. Let p = -0.03 + d. Round p to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17174 divided by 16595?\nAnswer: 17174\/16595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 - 2*f**2)*(-f - 7 + f**2 + 22*f**2 - 5*f**2).\nAnswer: -18*f**4 + f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - n - 5*n. Let q(z) = -63291*z**2 + 63294*z**2 + 1 - 3. Let g(f) = -2*f**2 + 1. Let p(u) = 2*g(u) + q(u). Give p(w(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -346, -427, -582, -835, -1210?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -373569 and -143.\nAnswer: 53420367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = -5*w, 4*x + 4*w = -0*x. Let q = 2 - x. Let s be ((-6)\/(-7))\/((-318)\/1113). Put -0.2, q, s in descending order.\nAnswer: q, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -4*q, -5*r + 8*r - 4*q = 1. Let v = 4 - r. What is v rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9555223 by -61.\nAnswer: 156643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344 and 6?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83 * -0.1386.\nAnswer: -11.5038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 1 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*a**2*k - 9834701*a**2 - 991*a*k**2 wrt k?\nAnswer: 138*a**2 - 1982*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9599 less than 15?\nAnswer: -9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*a**2 + (a + 2*a - a)*(4 - 4 + 2*a) - 39*a**2 + 38*a**2 + 75*a**2.\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/3 - 4077*s**2 + 12464408*s + 37405456\/3 = 0.\nAnswer: -1, 6116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**31)\/(l**(1\/6)\/l))**(-7) assuming l is positive.\nAnswer: l**(1225\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 - 6*i**2 + 3*i - 6. Let j be f(4). Let h(x) = 4*x**2 + 6*x - 2. Let o be h(-5). Calculate the highest common factor of j and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -21. Calculate the remainder when 64 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(980) - -1*sqrt(980))\/(6*sqrt(40)\/sqrt(4)) + 2))**2.\nAnswer: 84*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - 150746\/(-4636)) + (-4)\/(-48)*-6\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 - 1507 = 72*r - 48 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrhhhhrhhhh. Give prob of picking 2 r.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 3*d + 3. Let b(p) = -p**2 + 3*p - 3. Let f(k) = -3*b(k) - 2*h(k). Let c be f(-3). Suppose -20 = -4*y, q + c*y - y - 495 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 33. Let k = -7 - i. Sort 2\/9, 5, k.\nAnswer: k, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622 is divided by 149.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**5\/20 - 3*b**4\/4 - 11*b**3\/6 + 7*b**2 + b. Let k(u) = 95*u + 4475. Let x be k(-47). Determine w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 31. Let f be -5 + (u - 4) + -3. What is the second derivative of -7*z**4 - 33*z - z**f + 18*z - 14*z**4 wrt z?\nAnswer: -264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36917 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**3 - 24 + 2*t**4 + 24 + (-6*t**3 + 2*t**3 + 3*t**3)*(-1 + t + 1) in the form r*t**4 + v*t**3 + x*t + s*t**2 + z and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -n + 2, -2*n = -7*n + 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/4)\/(2\/144)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284807 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2081 + 4307?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51746543 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 10. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 4*q + 3. What are the prime factors of o(-6)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from {i: 2, e: 3, s: 1, r: 2, d: 2, b: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 16*z - 18*z)*(8 - 1 + 4).\nAnswer: -396*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -f + 2*f + 9, 3*i = 2*f + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 119. Suppose 8*z - 36 = x. Let c be z - (-172)\/6*3. Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0, -2\/13, 14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v + 3*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: a9d (base 14) to base 10\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmcfffrfmmmm. Give prob of picking 1 c and 1 f.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3088, -12333, -27742, -49315, -77052, -110953?\nAnswer: -151018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 367458 and 74754148?\nAnswer: 9422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let i(x) be the first derivative of -x**5\/30 - x**3 - 6. Let q(j) be the third derivative of i(j). Give q(n(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 2*t - g + 15 = 0, 38 = -222860*t + 222855*t + 3*g for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + m - 1. Let c(a) = 11*a**3 + 6*a**2 - 2*a + 3. Let x(r) = -c(r) - 6*y(r). Let j(p) = -p**3 - p + 1. Give 3*j(z) - x(z).\nAnswer: 2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3047\nAnswer: 1218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5*m)*(-2 + 64*m**2 - 42*m**2 + 0).\nAnswer: -110*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 30*c + 2. Let a be n(-7). Let m = 37 + a. What is the smallest common multiple of m and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, 3\/8, 136?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -10*m + 108. Suppose -m*c = -12*c + 8859. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -29 + (-3 - (46 - 76))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11333 - 5481. List the prime factors of h.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 32\/(-24)*(-75)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 36641\nAnswer: -1502281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/26819090 or 0?\nAnswer: 3\/26819090","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(252) - (4 + 1 + sqrt(252)) - 6*(sqrt(252) + sqrt(252)*-1) - 4*(sqrt(252) - (sqrt(252) - (sqrt(252) - -2*sqrt(252))))*1)**2.\nAnswer: 3600*sqrt(7) + 181565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -4. Suppose 0 = -4*h + h + 42. Let d = q + h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 times -0.5?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45339672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 63*z**2 - 178*z + 36. Determine k(26).\nAnswer: 2844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88447 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -46.5343 - 5457\nAnswer: -5503.5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-o - o + 0*o)*(-5*o**2 + 55 - 55) to c*o**2 + a*o**3 + v + w*o and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246836347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 31*u + 46. Let q(k) = -7*k - 11. Let w(x) = -9*q(x) - 2*z(x). Let f(h) = -h**2 + h - 4. Let v be f(0). Determine w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9002*l**3 - 15024*l**3 - 14911*l**3.\nAnswer: -20933*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74\/4663, 1, -1, 0.1.\nAnswer: -1, -74\/4663, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -283, -595, -1033, -1597?\nAnswer: -2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 10*v - 32851*w = -32845*w - 18, 3*v - 34 = -4*w for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 16. Let i be g(-10). Find the first derivative of 8*w**i + 15 - 3*w**4 + 2*w**4 + 2*w**4 wrt w.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.2318 kilometers in meters?\nAnswer: 855231.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1511*m**4 - 456 with respect to m.\nAnswer: 6044*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, -4, 18, -2, 7.\nAnswer: -4, -2, 2, 7, 18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-10)*(-83)\/913)\/(-2 - 3\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5\/7 - 3580*n**4\/7 - 7132*n**3\/7 + 10748*n**2\/7 + 28592*n\/7 + 14288\/7 = 0. Calculate n.\nAnswer: -893, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*a**3 + a + 11232*a**3 - a.\nAnswer: 11524*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-29*r**3 + 425 - 425)*(3*r**2 + 5 - 5).\nAnswer: 87*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 5*q + 11, -5*z - 2*q = -3*q + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r - 59. Suppose -i + r = 4*i. Calculate the least common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -18*n**4 + 0*n**2 + 1\/2*n**5 - 37\/2*n**3 + 0 + 0*n = 0.\nAnswer: -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 - -5) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 16*h = -15. Let u be (1674 + (h - -4))*1. Suppose -u = -0*z - 5*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2 take away 6398?\nAnswer: -6405.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazzyzzyy. What is prob of sequence yya?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 1107 = 9*t. Let p = t - 213. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtlqbqbqc. Give prob of picking 2 b, 1 l, and 1 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 5. Let i be y*(3 - (-56)\/(-6)). Let h = i + 22. Solve h = b - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44422332 + -2?\nAnswer: 44422330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 4*y + 7 - 5\/2*y**2. Let k(p) = -p**2. Give u(k(d)).\nAnswer: 5*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 4*t - 14, 0 = 2*w + 5*t - 16. Suppose -p + 157 = -2*v, 2*p + 118 = -2*v - 48. Which is the nearest to -1? (a) -3 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 + 38 - 419)*(3*s**2 + 0*s**2 - s**2 + (-4*s - s + 4*s)*(3 - 3 + 2*s) + s**2 - 4*s**2 + 2*s**2).\nAnswer: 152*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*2 + sqrt(152))\/sqrt(8) - sqrt(19)) + 0 + -3)*1.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 20 + -11 + -6 + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1159 divided by -2\nAnswer: -1159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14*(10392\/48)\/((-7)\/(-12))?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3*r**4 - 2*r**4 - 8*r**2 + r - 2*r**4 - 9 - 19*r**3 in the form z + j*r**2 + t*r**3 + v*r + s*r**4 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 29. Let d be c\/6*3*(-4)\/1. Suppose -j + 6*l + 22 = 3*l, 36 = d*j + l. Calculate the smallest common multiple of j and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 486720 = 20*m - 2*m. Does 52 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6. Let x be r(0). Suppose x = 2*g - 10. Suppose 2*f + 2*b - 4 = 0, -2*b = -f + g - 0. Solve -q + 20 = f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 848000 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 69429, 69297, 69083, 68793, 68433, 68009?\n\"Answer: t**3 - 47*t**2 + 2*t + 69473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198434 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20824, 41603, 62382, 83161?\n\"Answer: 20779*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5027 + 5095. What is the remainder when 142 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**4\/2 + 3*p**2 + 5. Find the second derivative of g(z) wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748639 is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2461 - 1162 = 151*t + 48*t + 7123 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/7, -234\/11, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/13)*(g\/g**(1\/38))\/g)**(-1\/29))**(-22) assuming g is positive.\nAnswer: g**(2365\/7163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 12*g**2 - 31*g + 67. Calculate the remainder when o(16) is divided by 152.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.5 - 59. Let x = 0.2 - 0.4. What is the nearest to x in g, -1\/11, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.3 (b) 660 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-99)*(0 + -3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2057438 (base 12) to base 7.\nAnswer: -102515222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 15*w - 66. Let k(p) = 5*p - 26. Give 11*k(t) - 4*l(t).\nAnswer: -5*t - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744\/832*(-280)\/(-90)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -z + 9, r + 3*r + 12 = 0. Suppose z*h + 3495 - 177069 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -45. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398033829 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181892 and 345349.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001229831363 rounded to 7 decimal places?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-f + 0*f + 0*f) + (-2*f + 4*f - 5*f)*(53 - 114 - 98).\nAnswer: 479*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14282 times -4?\nAnswer: -57128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.024 + -27.976. Let q = d + 32. What is the third biggest value in 3\/7, q, -0.3, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3780137 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 212 - 42 = 0. Let r = w + -34. Let v = 6.3 - 6. Which is the nearest to -0.2? (a) v (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(140)\/sqrt(4))\/sqrt(5) + sqrt(49)\/(sqrt(7) - -2*sqrt(7)) - ((-1 + sqrt(7) - sqrt(7))*1 - (sqrt(252) + 0))))**2 + -1.\nAnswer: 528*sqrt(7) + 13587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.14 and -4019803986261.\nAnswer: -4019803986261.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1764 and -47\/341.\nAnswer: 601524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(16*11\/(-352))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 - a + a)*(-3*a + 2*a + 4*a) + 0*a**3 - a**3 + 2*a**3 + (-3*a**2 + 4*a**2 - 4*a**2)*(3*a + 4*a - 5*a) to w*a + h*a**3 + b*a**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169757, -169756, -169755, -169754, -169753?\n\"Answer: d - 169758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-270)\/21*(-14)\/2. Let p be 96\/5*f\/4. Let r = p - 303. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*(k**(3\/5)\/k)\/k*k)\/k)*k)**(-1\/6) assuming k is positive.\nAnswer: k**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Differentiate -v**2 + 0*v + 9*v**2 - 5*v**t + 17*v + 85 wrt v.\nAnswer: 6*v + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 10:47 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4967, 4952, 4927, 4892, 4847, 4792?\n\"Answer: -5*u**2 + 4972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8941*u**3 + 1593*u**3 - 6438*u**3 - 2524*u**3.\nAnswer: -16310*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h + 54*h = 117*h + 3125 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6083*o - 5740*o + 4802 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1793853.6 rounded to the nearest 10000?\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 634, 4, -3\/4 in ascending order.\nAnswer: -3\/4, 4, 73, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 12\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-2*-3*sqrt(143))\/sqrt(11)*6 + -5)*-1)**2 + -4.\nAnswer: -360*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/15 + 28*s\/15 - 16\/5 = 0. Calculate s.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 3. Let l be j(0). List the prime factors of (-1 + 36)*l\/(-3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, w: 1, p: 1, m: 1}. Give prob of sequence pw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = 9. Let f(n) = -n. Let h be f(-6). What is the closest to s in -2, h, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 993 + -21 + (-14 - -29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3743051.9 days to weeks.\nAnswer: 534721.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1441 and 131.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -29. Suppose b - 2*b = -z. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17862855 by 67407.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 32*w**4\/7 + 48*w**3\/7 - 290*w**2 - 3072*w\/7 - 1152\/7 = 0.\nAnswer: -8, -3\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1033 + -18.\nAnswer: -18.1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 5. Suppose -2*a - 8 = 0, -2*a - 10 = 2*o + 18. Let r(k) = -5*k - 11. Let b(y) = -y - 2. Let t(f) = -6*b(f) + r(f). What is o*t(c) - 2*d(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 8*h - 27. Let f = -29 + 35. Let v(g) = 7*g**2 + 47*g - 163. Let l(k) = f*v(k) - 39*z(k). Solve l(c) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -h + 14. What is the lowest common multiple of h and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2658*n**3 - 2658*n**3 + 45*n**4 + (-2*n + 1 - 1)*(-n**2 + 0*n**2 + 0*n**2)*(-7*n - 5*n - 5*n).\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.672589103 to two decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/18)*9\/27.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386759.54 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 2*o + 0*o)*(-584*o**3 + 1953*o**3 - 160*o**3) to the form l*o**4 + h + k*o**2 + z*o + v*o**3 and give l.\nAnswer: 6045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 39. Let w = -11 - c. Let x = w - 10.016. Round x to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16176 divided by 2177\nAnswer: -16176\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-8) + (0 - (-2)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s*s\/((s*s**(-1\/6)*s)\/s*s)*s**4\/((s*s**(1\/3)*s)\/s))\/((s\/(s**(-8)*s))\/(s\/s**(3\/5))*s**5\/(s*s**3)) assuming s is positive.\nAnswer: s**(-263\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1334 + -41612?\nAnswer: -40267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000855255 rounded to five dps?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 4) to base 3\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**3*f))\/(f*f*f**(-4)))\/(f**(-6)\/(f*f**(1\/13)*f*f)) assuming f is positive.\nAnswer: f**(183\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1 + sqrt(2) + -1 - sqrt(2)) + sqrt(18) + -1))**2 - ((sqrt(110)\/sqrt(5))\/sqrt(11) + sqrt(6)\/sqrt(3) + -3 + sqrt(2)).\nAnswer: -291*sqrt(2) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h - 1. Let i be p(5). Let c = i - 16. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 6*c + 4. Let h(d) = -2*d**2 - 5*d + 5. Let x(y) = -4*h(y) + 5*m(y). Let z be x(-6). Let w = 14 + z. Sort 3, -1, w in ascending order.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 237740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 32423?\nAnswer: 3\/32423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 688 and 1806.\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - q = 3*s + 597, 0 = -3*s - 3*q - 351. Let l = 117 + s. Is (-9 - -1)\/(l\/21) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48438)\/156)\/(-207)*(4\/(-124))\/(1\/2).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.14 (c) -46 (d) 0.09 (e) 22\/3 (f) -1\/2 (g) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 7\/68137 in ascending order.\nAnswer: 0, 7\/68137, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, 0 = -14*o + 12*o + 3*t + 2. What is the third smallest value in o, -5, 0.9, 1\/3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2083070782)\/(-3876))\/(20\/(-222844)). Let o = 5988129832 + h. Let x = 1\/969 - o. Calculate the common denominator of 32\/23 and x.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 - -264. Calculate the smallest common multiple of q and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(2\/7))**22*(s\/(s\/(s\/(s**(-1\/4)\/s))))**(-42) assuming s is positive.\nAnswer: s**(-619\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 6*f**2 - 3*f**2 + f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 1223200102111?\nAnswer: 1223200102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.525 - -6.557. Let i = 6 - k. Round i to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b + 98. Suppose -3*m - d + 65 = 42, -3*m + 5*d + 11 = 0. Calculate the remainder when 214 is divided by c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - 39*p - 4. Let o be w(-5). What is the highest common factor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21414.156 months in centuries?\nAnswer: 17.84513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -70.987. Let t = 1.013 + m. Is 0.04 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1223 - -263?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 21. Let t be u(-4). Suppose t*k - 631 = 54. Let i = k - 85. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 4326. Suppose -13*s + m = -1301. Suppose -199 = -3*c + x, -6*c = -3*c + 5*x - s. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*z, -5*a = -0*z + 4*z - 89. Let u(n) = 4*n - 4. Let l be u(4). Let h = l - 5. What is the highest common factor of h and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(242)*1*-6 - (-4*sqrt(242)*1 - sqrt(242) - (sqrt(242)*2*6 - sqrt(242))))**2 + 1.\nAnswer: 96798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699678 divided by 2?\nAnswer: 349839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68) + 0)**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, 2, 12, 1.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-34)*6\/(-12). Let o = -18 - -49\/3. What is the biggest value in o, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(3\/4)*q*q)*q**1)\/((q\/(q\/(q\/(q**3*q))))\/(q**(-1\/4)*q))*(q*q**(-1)*q)**(2\/33)*q**6*q**0 assuming q is positive.\nAnswer: q**(266\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-6) - 44*2. Let k = 124 + q. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/8 + 9*i**4\/8 - i**3\/4 - 9*i**2\/4 + i\/8 + 9\/8 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + 3?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i - 129. Let m be d(16). Calculate the greatest common factor of 12 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1 + 2 + 1. Let z(a) = 2*a - 1. Let c be z(3). Suppose 2*v - 81252 + 277247 = j, g*v + c*j = -490025. What is v rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 43*b**2 - 54*b + 8. Let r be g(-32). Round r to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1062*t**2 + 524*t. Let q(w) = 1063*w**2 - 525*w. Let d(h) = -4*i(h) - 3*q(h). Find the second derivative of d(y) wrt y.\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 1142, 4, 6, 0 in descending order.\nAnswer: 1142, 7, 6, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/11))\/a)**(-41))**(2\/11) assuming a is positive.\nAnswer: a**(164\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 9*n + 5. Let y(p) = -p**2 + 8*p - 4. Let l(g) = -5*f(g) - 6*y(g). Let b = 4 + 1. Is l(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 + -312. What is the remainder when m is divided by ((-27)\/15)\/(18\/(-60)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11212 (base 4) to base 15\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.165*-460\nAnswer: 75.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c64 - c?\nAnswer: -c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104819?\nAnswer: 11, 13, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) -1 (c) 3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(9\/((-45)\/(-110)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 677440 and 10284386.\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1 (c) 3 (d) -3 (e) 16\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/6 - 57*v**3 - 337*v**2\/2 + 1021*v\/3 + 452 = 0.\nAnswer: -339, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 - 1)*(-2 + 0 - 4)*(1 - 1 - 3)*(-3*m**3 + m**3 + m**3) + m**3 - 3*m**3 + m**3 to the form s*m**3 + c*m**2 + h*m + n and give s.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-3)*1 - 2. Suppose 2*y = t + 3 - 1, -5*t = j*y - 14. Let k be 2\/(-6) + 13\/3. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-4\/5)\/c)*c)*c)**24\/(c**(-5\/2))**(5\/11) assuming c is positive.\nAnswer: c**(-1987\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 23774 = -6*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 8, f: 2, h: 4}. Give prob of sequence hqh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s - s**2 + 1 + 16*s + 15*s - 38*s to y*s + c + b*s**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 > -309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - -2) + -22 + 24 + 125 + -120?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 21 = 24. Suppose 0 = -y*q - 4*a + 95, 0*a = -5*a + 25. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (56\/(-20))\/((-7)\/(1995\/144)) and -109\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -20. Suppose p*i - 71 = -47. Calculate the common denominator of (75\/2)\/(i\/(-2)) and -49\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*162\/5040*-8\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13 - 43*z + 7 - 5 - 14 + 16*z. Let u be k(-1). Solve -u = -2*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -3623, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = 4*x, 2*x - j = -3*x - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -0.014, 97?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 41*j**2 + 13*j - 541. Let b be n(41). Let u(g) = g**3 + 8*g**2 - g + 13. Give u(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6466536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981 by -929.\nAnswer: 981\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (18 - (17 + 0)) + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z - 1. Let u be h(-4). Let y(a) = -a**3 - 2*a**2 + 2. Let b be y(-2). Let k = b - u. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647, -640, -621, -584, -523, -432?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -360.464 + 359. Let j = z + 1.63. Let b = j - 0.237. What is b rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055777?\nAnswer: 3, 103, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -78495904.\nAnswer: 1\/39247952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -3*o**4\/4 - o**3\/3 + o**2\/2 + 2*o + 45. Determine d(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1178650.61 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231134 - -19183537\/83. Let y = 138191\/20584 + n. Let c = 9\/31 - y. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*f + 161*f - 36 = 0. Let h be (10\/f)\/(7\/84*-3). Let u(o) = o**2 + 7*o - 4. Let c be u(-6). Is c greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 a when four letters picked without replacement from {a: 2, k: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1065810067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3)\/((-12)\/22). Let z = w + 79. Suppose -4*q + z = -0*q. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -687*m**2 - 7807*m + 7807*m as t*m + y*m**2 + s and give y.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/77 and -52\/161.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 776, 3151, 7134, 12731, 19948, 28791, 39266, 51379?\n\"Answer: m**3 + 798*m**2 - 26*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345 and 14265.\nAnswer: 328095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -18, -35, -52?\n\"Answer: -17*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + v - 476. Let u be d(21). Solve u = -l + 872 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -835663212133\/171864060 + -2\/42966015. Let p = b + 4865. Let x = -691597\/59700 - -6\/4975. Calculate the common denominator of x and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259933, 258633, 257333, 256033?\nAnswer: 254733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 - 461 = -3*u + a, -2*u = -2*a - 902. What are the prime factors of u?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27311477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1674, -1676, -1678?\n\"Answer: -2*h - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13)*1 - (-1 + -3 + sqrt(13))) + (1*sqrt(13)*-4 - -4*sqrt(13)*-1)**2*1.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 32*g. Let u(z) = 4*z. Let c(i) = -12*i. Let j(k) = -14*k. Let w(m) = 4*c(m) - 3*j(m). Let a(r) = 5*u(r) + 4*w(r). What is v(a(h))?\nAnswer: -128*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 196.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.04345km to meters.\nAnswer: 58043.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 3*r**8\/112 - r**4\/8 - r**2\/2 + 10*r. Let q(h) be the first derivative of o(h). Find the second derivative of q(u) wrt u.\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 102*m - 306. Let b be j(3). Solve n = -3*g - b*n, -g + n - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/2 - 1245175*d**2 + 4980697*d\/2 - 1245174 = 0. What is d?\nAnswer: 1, 2490348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 3*j - 4. Let c(b) = b**2 + b - 1. Determine 3*c(g) + y(g).\nAnswer: 2*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050276 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 f(u) = 4*u**2. Suppose 5*v + 4*o - 51 = 0, 3*o + 5 = -2*o. Let l(k) = -5*k - 9*k**2 + v*k**2 + 5*k. Determine f(l(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*2)\/sqrt(10) + ((sqrt(475) + sqrt(475) + 1)**2 - sqrt(475)) + (sqrt(19)*-2*-3 - sqrt(19)) + -2 + -3)*3.\nAnswer: 66*sqrt(19) + 5688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.95 - 14. Let l = 20.3 - 24.35. Let j = g - l. Put -1, 0.1, j in ascending order.\nAnswer: -1, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 4 = 0. Suppose 0 = g*a - d - 16, 5*a - 12 = -2*d + 46. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.704 - -15.82. Let m = -9.55 + 15.366. Let g = m - y. Round g to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -26. What is the common denominator of 5\/6 and (-1)\/i + (-798)\/360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14*756\/(-72). Let j(m) = -1 + 4 - 2 - 4 - 2*m**2. Let r(s) = -2*s**2 - 4. Calculate o*r(z) - 4*j(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 504\/(-308)*(5 - (-621)\/(-45)).\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124437?\nAnswer: 3, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5 + 55370*h**4 + 153291840*h**3 - 55370*h**2 - 153291845*h = 0.\nAnswer: -5537, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 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: Let j = 3.034 + -0.034. Suppose 10 = 3*i + 1. Suppose 2 = -u - i. What is the third smallest value in 1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 94*l.\nAnswer: 2*l*(l + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104849.\nAnswer: 104849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2520 - -2520.00001831. What is g rounded to 7 decimal places?\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 3*j - 4. Is q(4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*j + 3310 = 3307, -2 = h - 3*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-978)\/16*((-4708)\/(-132) - 35). Suppose 0 = -5*t - 25, f + 50 = -0*f - 2*t. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**5\/7 + 642*j**4\/7 + 6988*j**3\/7 - 102768*j**2\/7 + 41940*j - 28350 = 0.\nAnswer: -63, -105\/4, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -12. Let u be 6 + -9 + (-74)\/(-24). Let k = 1.92 + 0.08. What is the closest to 0.1 in u, z, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15552 divided by 216\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, 9, -32, -5.\nAnswer: -32, -8, -5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 7*w - 41. What is a(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, v: 2, p: 1, j: 5, r: 3}. Give prob of sequence jt.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -650, -1448, -2566, -4004, -5762?\nAnswer: -7840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -600*c - 10265 + 40265 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + z - 1359 = -1347, 28 = 3*o - 4*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291235 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 11*g**3 + 42*g**2 - 64*g + 32 = 0. What is g?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*-4 - (5*sqrt(112) + sqrt(112) - sqrt(112)) - (sqrt(616)\/(2*sqrt(11)))\/(-5*-1*sqrt(8)))**2.\nAnswer: 552727\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -23007 in decreasing order.\nAnswer: -2, -7, -23007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 228 = 3*d, d = z - 0*d - 228. Suppose -3*t + z = -5*v, -2*t + 226 - 74 = -v. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 12 + 1 + (19 - 10) + (24 - -2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/60 + 4*q**5\/15 - 13*q**4\/12 + 2*q**3 + 29*q**2 + q. Factor m(t).\nAnswer: -2*(t - 6)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1557\/4 or 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(h**5 + 7*h**5 + 5*h**5) + h**5 + h**5 - h**5.\nAnswer: -25*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (11\/(-3) + 2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 105 = n - 108, 0 = 5*n + 2*b - 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2686*(7\/(-22) - 20\/110) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t - 178. Give m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220664 and 77817330.\nAnswer: 311269320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:43 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-29) - (0 - (-854)\/609))\/(1088\/15504)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12332204 - -3?\nAnswer: 12332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6006.2 - 6006. Which is the fourth smallest value? (a) -0.5 (b) 3 (c) g (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4346 + 2451.4. Round h to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l = -3*j - 21*l + 1, l = -2*j + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, -96 in descending order.\nAnswer: 4, 0.5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1690*f**3 - 1684*f**3 + 3394*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**7\/70 + k**5\/30 - k**2 + 2. Let a(j) be the second derivative of r(j). Find the third derivative of a(b) wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 953671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*a - 198300 - 21480 = -2292*a - 1121*a for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 + 61 - -52) + 27.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17909 + -17909. Factor 1\/4*o**2 - 1\/2*o + y.\nAnswer: o*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 786*r**6 + 3*r**3 - 2*r**2 - 1570*r.\nAnswer: 94320*r**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 16. Let t be 0 + 3\/((-3)\/y). Solve 2 + t*x**2 - 4*x**2 - 8*x + 5*x**2 = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45472.07 days to weeks.\nAnswer: 6496.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {e: 2, h: 2, k: 3, j: 8}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -173468396 rounded to the nearest 10000?\nAnswer: -173470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4198895 is divided by 62?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*u + 312*u - 62*u.\nAnswer: 588*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/((-9)\/3))\/1. Let q(u) = u + 10. Let s be q(-8). Suppose -4*o + s = -2. Which is the nearest to o? (a) z (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 - 48*o**2 + 266*o + 1176 = 0?\nAnswer: -28, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*z. Suppose 0 - 56 = -4*u + 2*c, -5*u - 2*c + 70 = z. What is the lowest common multiple of 22 and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1301, -2606, -3915, -5228, -6545, -7866, -9191?\n\"Answer: -2*j**2 - 1299*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52799 (base 14) to base 3.\nAnswer: -101010002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609507438507 take away -0.15?\nAnswer: 609507438507.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*3310.\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 8*w + 6 + 33*w. Is u(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 + 12*v - 11. Suppose 0 = 4*l - 5*z - 1, 5*z - 3*z - 22 = -4*l. Suppose 5*j + l*n = 30, 3*n = -3*j - n + 10. Is c(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2003645 and 10412?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11181 - -4623. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131804130 divided by 5.\nAnswer: -26360826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 5*l + 7*l**2)*(-l**2 + l**2 + 10*l**2)*(1 - 1 - 2*l).\nAnswer: -140*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 80 = -3*z + 15, z - 10 = -5*q. What is the least common multiple of z and 1*(1 - 6)*-1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.8727 rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - (-4 + 3)) + 4. Let l be -1*-2*t\/(-21). Determine p, given that -l*p**2 - 4\/7 + 6\/7*p = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326 - -948. Let c = f + -288. List the prime factors of c.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 83*f + 1218. Determine t(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/1*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/55371794?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, b: 1}. What is prob of picking 1 c and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -196 + 82 + 97 + 3*c - 2*c in the form u*c + d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114132 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 433965 divided by 3\nAnswer: 144655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192244665 less than -0.3?\nAnswer: 1192244664.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 235, 261, 289?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q - 25. Calculate g(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-4\/13)*c)\/c)\/(c*c\/c**(1\/11)))\/((c**4\/c)\/c)**(-7\/5))**(-8) assuming c is positive.\nAnswer: c**(-9056\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3151838*q*u**3 - 371*u**3 + 2*u**2 + 1171*u wrt q.\nAnswer: -3151838*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 208?\nAnswer: 207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*l**2*y + 3*c*l*y - 5*c*y + 270*l**2*y - 3*l**2 wrt c.\nAnswer: 5*l**2*y + 3*l*y - 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 5*y**3 + 2*y**2)*(-2 + 2 - 2)*(-1 + 3 - 4).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 26*w - 773 - 18*w.\nAnswer: -w - 773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 425\/74 + -35831\/518. Which is bigger: n or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 2 + 0 + 0. Let y = -6.1 + 6.286. Let b = y - -0.014. Sort d, 0.5, b in descending order.\nAnswer: 0.5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*a + 10, -5*b = -5*a + 16 + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let m(v) be the second derivative of v**7\/504 + v**6\/720 + 5*v**4\/2 + 86*v. Let b(u) be the third derivative of m(u). What is r(b(i))?\nAnswer: -5*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880\/15037 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5 - 33*f**3 - 6 - 127*f**2 + 125*f**2 to the form d*f**3 + q*f**2 + n*f + a and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67014 milligrams in kilograms?\nAnswer: 0.00000267014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1883 - -1800) + (128 - -1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 45 = -5*s, 3*d - 5*s = 35. Let w be (3\/d)\/((-8)\/(-40)). Let u(y) = -2*y + 0 + w*y - 1 + 5. What is u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258819033 divided by -3?\nAnswer: 86273011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 - 87 - 52 - 526)*(2*r**3 - 2*r**3 + 4*r**3).\nAnswer: -3480*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*q + 2*p + 1519, -4*q + 4*p + 2028 = 0. Suppose -5*i - 2*a + 3*a = -1297, -2*i - 5*a + q = 0. List the prime factors of i.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 6 + 3*f**2 - 10 + (0 - 2*f**2 + 0)*(0 - 6 + 0).\nAnswer: 15*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898619304?\nAnswer: 2, 3, 11, 41, 61, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 0.1. Let s = -132 + 127. Let w(o) = -27*o - 215. Let t be w(-8). Which is the closest to t? (a) z (b) -5\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0 - 5\/6*a**3 + a + 5\/2*a**2. What is the units digit of w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a9 - 9?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19402901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*s = 25780, z + 11*s - 12935 = 16*s. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + ((-30)\/(-180))\/((-2)\/(-12)). Is y at most as big as -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108054\/25839)\/((-6)\/165*-1)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 9*h + 10. Let c be n(8). Let i be (-20)\/(-8)*(c - 0). Let d(k) = -2 + 2 + 2*k + i. Determine d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(192)*6) - 4*(-2*sqrt(5) + 4).\nAnswer: -16 + 193*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/(-32))\/(-7))\/((-54)\/72)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a*l**3*x - 2*a*l**3 + a*x + 213*l**2*x wrt l.\nAnswer: 90*a*x - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 3 (c) -9\/7 (d) 41 (e) -5 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 - -0.9. Let v = u - 8. Put 0.1, -2\/9, v in decreasing order.\nAnswer: v, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90455 + 102105 = 967*p - 2627*p for p.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + 124. Let h = -162.000053 + v. What is h rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 4*r + 2. Let i(g) be the first derivative of -28 - 6*g - 8\/3*g**3 + 11\/2*g**2. Determine -6*i(d) - 17*w(d).\nAnswer: -3*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 + -144. Solve 2*p - 7 = -s, f*p - 2 = 5*s + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*t**2 - 29*t + 2 + 36*t**2 - 6*t to x + u*t**2 + n*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -38\nAnswer: -45\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/17 + 338*r**4\/17 - 97878*r**3\/17 - 396482*r**2\/17 - 101180*r\/17 + 595200\/17 = 0. Calculate r.\nAnswer: -320, -3, -2, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 + 2*t**2 - 1 - 6 + 4*t**3 + t - 5*t**3. Let p be r(10). Let f = -923\/8 - -463\/4. What is the closest to p in 0.2, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 + 215. Solve -c = -2*g, 2*r - 7*g = -4*g + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, -5, -14, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 0.01049?\nAnswer: 0.05049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 28, 47, 66, 85?\n\"Answer: 19*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z - 29*z + 4*z**3 - 1 + z**2 + 26*z - 68*z - 3*z**3 to the form p*z**3 + o*z**2 + g + w*z and give w.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -41 - (-6 - (-5 + 4)) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 + 4*t - 10*t + t**2 + 0*t**2. What are the prime factors of j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**3*v**3 + 38*s**3*v**2 + 54*s**2*v**3 - 447*s**2*v**2 - 628*s*v**3 wrt v.\nAnswer: 6*s**3 + 324*s**2 - 3768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 2*q**2 + 2*q**2 - 2*q**2 - 2*q**5 + 2*q**2 + (-4*q**2 + 4*q**2 - q**3)*(-q**2 + 3*q**2 - q**2) + 5047*q - 90*q**5 - 5047*q.\nAnswer: -94*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -134323433 (base 5) in base 13?\nAnswer: -1b5cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 18 = -5*j - 19, 0 = -5*j - 5. Let y = -67 - -74. Solve -11*x + y = -n*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172 - -168. Let c be 36\/8*(-4)\/6. Let f be ((-2)\/c)\/(34\/(-51)). Which is bigger: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 8*a**2 + 4. Let h be r(8). Let x = 0 + -11. Let j = 6 + x. Sort -2, h, j in descending order.\nAnswer: h, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 2\/9 (c) 47985.3 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14636, 29431, 44226, 59021, 73816, 88611?\nAnswer: 103406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:04 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 48. Let o = -9 - i. Calculate the remainder when 20 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 788392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.48 - 102?\nAnswer: -139.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45733, -45745, -45757, -45769?\nAnswer: -45781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5474 - -8958. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11319?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 201012?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from pwrwprnrpwrprwwpprw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 26*b - 12. Let a be i(-10). Suppose -32*u + a*u + 1364 = 0. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 146, 442, 1012, 1946, 3334, 5266?\nAnswer: 7832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 21*j**2 - 12*j - 1. Let n(z) = 3*z**3 - 11*z**2 - 6*z. Let k(m) = 7*n(m) - 4*w(m). Is 8 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325*i**2 + 37*i - 3 wrt i?\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.682263076 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32846*y**4 - y**3 - 1001*y**2 - 2221637*y - 17 wrt y.\nAnswer: -394152*y**2 - 6*y - 2002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23291 and -0.1.\nAnswer: -2329.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147.61 rounded to the nearest 10?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 20*w**2 + 2. Let q = 2255 + -2258. Let t(j) = -19*j**2 - 1. What is q*c(h) - 4*t(h)?\nAnswer: 16*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -54643\nAnswer: 54652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 383019200 to the nearest one hundred thousand.\nAnswer: 383000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-97253)\/126 - (-28)\/126. Let p = f + -772. Which is the biggest value? (a) -1 (b) -3\/4 (c) -5\/3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*u - 3, 0*u = -5*u. Suppose 0 = 5*k - 13*k - 48. Let y(q) = q**3 + q**2 + 1. Let m(c) = 3*c**3 + 6*c**2 + 6. Give k*y(r) + v*m(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = 127*l - 44*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.986 - 0.526. Let z = q + -0.46. Put 7, -0.1, z in ascending order.\nAnswer: -0.1, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-43 - -15 - -6) + -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 5. Suppose 0*h - l = -h. Suppose -h*z + 27 = -18. Calculate the remainder when 25 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 62 = -0*r + m, 4*r - m = 49. Let o = -4 + -4. Let f = r + o. Solve -h = -f*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141\/5 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9)**(-48) assuming m is positive.\nAnswer: m**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.88819 decades in months?\nAnswer: 2506.5828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125301291 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.266093 grams to kilograms.\nAnswer: 0.002266093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 - -754. Suppose 3*n - h + 94 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h + 6. Suppose 5*i - 81 = -5*g + 9, -4*g + 3*i + 58 = 0. What is the remainder when r(5) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Solve -14 = -2*q + 3*f, 4*q - 30 = -q + u*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 2176*o\/7 + 23694\/7.\nAnswer: 2*(o + 11)*(o + 1077)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 9 - 9)*(2*w + w + 8*w)*(3 + 0 + 1).\nAnswer: -220*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {h: 1, o: 5, g: 4, d: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 5. Let n(x) = -6*x + 12. Let i(h) = 3*n(h) + 7*t(h). What is i(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 306*x**2 - 4*x**3 + 0 - 96*x - 6 - 58 - 342*x**2.\nAnswer: -4*(x + 1)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1 + (-10)\/(-2). Suppose -k - 16 = -n*k - q, -5*k + 68 = -q. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1178 = -4*q, 4*q - 8 + 4 = 0. Let y = -587 + x. Solve -3*m + 4*m + 7 = -2*b, y*b + 3*m = -11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:29 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -5, -907, -114?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 16*r**2\/9 + 46*r\/9 + 20\/3.\nAnswer: -2*(r - 3)*(r + 1)*(r + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*u = -1 - 7, -v = u + 1. Let l be -5*(3 + v + -3). Calculate the remainder when (-2)\/(-5) + (-363)\/l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16384 and 1902592.\nAnswer: 15220736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40719901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.17 or -272620?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25275890.\nAnswer: 2, 5, 19, 151, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.811426 milligrams?\nAnswer: 7811426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32105?\nAnswer: 5, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83921\/16 - 5250. Calculate the common denominator of -1\/6 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/6 + q**3\/6 - 5*q. Let j be l(-1). What is the highest common factor of j and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17664 or -16698?\nAnswer: -16698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46836.19nm to meters.\nAnswer: 0.00004683619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-1))\/(12\/(-18)). Solve -s*o + 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166790406?\nAnswer: 2, 3, 27798401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzqjqs. Give prob of picking 2 q and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h*p*x**2 - 6518*h*p*x - h*x**2 + 3849*p*x**2 - 4*p*x wrt x?\nAnswer: -16*h*p - 2*h + 7698*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96877 times 727?\nAnswer: 1431.29579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -531483*t**2*x + 15*t*x - 1075925*x - 6 wrt t.\nAnswer: -1062966*t*x + 15*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4 - 0. Let q(u) = 16*u + 21. Let b(p) = 4*p + 5. Let l(g) = n*q(g) - 9*b(g). Suppose 3 = -2*x + x. Give l(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 1 + 1)*(-3 + u + 3) - 3 + 3 + 6*u**2 + 0 + u**2 + 0 in the form l + i*u**2 + m*u and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9020 = -5*h - 5*z + 4890, -4*h + 11129 = 3*z. What is the greatest common divisor of 121 and h?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 - 3*x**3\/2 + 4*x**2 + 8*x. Let o be w(8). What is the nearest to -2\/3 in -2, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 7*d + 3. Let f = 15 + -8. Let u be p(f). Find the second derivative of -u*j + 3*j**4 + 10 - 10 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 55, -1804*a = -5*o - 1805*a + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 1. Suppose y + m = 6*y. Suppose -4*h = -4*q, 2*h - 229*q = -234*q + 28. Solve h*x - 14 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 2\/242097065?\nAnswer: 2\/242097065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 95.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -585*v**3. Let i(g) = -2*g**3. Calculate 1404*i(d) - 4*y(d).\nAnswer: -468*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/12 + 5*a**4\/4 - 25*a**3\/6 + 4*a**2. Factor c(s).\nAnswer: -5*(s - 5)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 10*r = 6. Suppose k = -2*q + 14, -r*q + 15 = -q. Let x = -20 + 42. What is the remainder when x is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 25*j - 122. Calculate x(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990.6 times -1091?\nAnswer: 2171744.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 + (-1 - -5 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1 + 6 + -4. Suppose 0 = -v*u - 3*u, 3 = s - u. Solve 5*z - 6 = 2*o - 3*o, 2*z - s = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 11, 1\/5, -1\/19, -4\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 50. Suppose 4 = 2*j - d. Suppose -2*a + 16810 = -3*m, j*a + 6971 = -3*m - 9804. Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + 26*i**2 + 2*i + 71. Does 5 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 4}. What is prob of sequence ww?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2 + 3\/3). Let g be (-1)\/(2\/(-76)*z). Let c = g + 31. What is the smallest common multiple of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 38*y - 335. Calculate f(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 225*m - 235*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v + 6. Let n be g(5). Suppose -17 = -4*d + 3*s, d + 10 = -5*s - 3. Suppose n = h + d*h. What is the remainder when 45 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139393.5372 rounded to the nearest ten?\nAnswer: 1139390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2873 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yehq when four letters picked without replacement from {h: 3, d: 1, e: 1, q: 2, y: 1, j: 8}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.002 and -172.\nAnswer: -171.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*q + 3554 - 7208 + 3666.\nAnswer: 199*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24893*w = 22457*w + 9744. Factor 6 + 2\/3*z**2 + w*z.\nAnswer: 2*(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/10*(-2)\/(2\/5). Find the third derivative of 7*y**6 + 24*y**2 - 43*y**6 - v*y**2 wrt y.\nAnswer: -4320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(3\/2))**(-41))**(-1\/3))**(1\/3))**(-36) assuming r is positive.\nAnswer: r**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2936655 is divided by 20976?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmgmtf. Give prob of sequence fg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*x + 17)*(-8*x + 8*x - 3*x**2) + (2 + 2*x**3 - 2)*(-2 + 3 + 1).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 100010011101010 (base 2) to base 11\nAnswer: 12289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 11*p + 1. What is the remainder when (-1455)\/(-10) - 1\/((-14)\/(-21)) is divided by i(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*b**2 - 154*b**2 + 461*b**2 - 157*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 8. Let v be (s + 34)\/(1\/(-8)). Let o be v\/((-6254)\/(-6250) - 1). What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1305251008, 1305251010, 1305251012?\n\"Answer: 2*a + 1305251006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 - -2. Let x(q) = q**3 + 9*q**2 + 7*q - 8. Let o be x(-8). Suppose -2*v + o*v + 4 = 0. What is the closest to -1 in s, 5, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - m + 7 = 4*m, 5*m + 13 = -2*t. Let l(k) = 4*k + 7. Let o(p) = 1. Let j(x) = t*o(x) + l(x). Is 22 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-2 + 4\/6). Suppose 2*w - 75 = a*b + 231, 5*w = -4*b - 285. Let k be b*(-230 + 0)*4\/3. What is k rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 + -1.59. Round q to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + -0.37.\nAnswer: -79.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532824 divided by -6.\nAnswer: -88804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-63)\/27)\/(7\/(-12747)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/(-42))\/(-1 - 3522\/(-3520)). Suppose 5*q - 2*o = c, -3*q - o = 2*q - 880. Calculate the highest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 51 + 15*a + 9\/2*a**2 - 1\/3*a**3. What is s(12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17598484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 42039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -119 and -122.\nAnswer: 14518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*m - 10*m**2 + 11*m**2 + 8*m**2 + 186*m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5*w**3\/6 + w**2\/2 + w. Give h(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/5, -3.3, 1.6, -3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026990 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1a88 (base 14) to base 8\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*u + 84*u + 4. Which is the third smallest value? (a) u (b) 2 (c) 8.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c - 1 + 9*c + 2*c - c**3 to d + t*c + n*c**3 + p*c**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = x + m + 2*m, -5*m + 15 = 3*x. Let a(y) be the first derivative of -y**3\/3 + y**2\/2 + 10*y - 1. Give a(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41968282 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: Solve -133055*z - 3240 = 132976*z - 266151*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1125.8 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**2\/2 + q + 2. Let n be f(-1). Suppose -3*l + n*l = -6. Let m(x) = x**2 - 3*x. Calculate m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = 11. Let g be -1*l\/6*2. Suppose 2*q - t - 30 = 0, -g*t = -7*q + 3*q + 62. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*n**2 + 95*n**2 + 0 + 0.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14461 (base 7) to base 3.\nAnswer: 12111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -723 - -922. What is the remainder when y is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -3) + (3 - -7). Solve p = -2*z + 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*i + 24, -5*j - 16 = -181895*i + 181893*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 3*s + 3*s)*(2*s**2 + 0 + 0) - 6*s**2 + 6*s**2 - 23*s**3 - 2*s**3 + 1 - 1 to x*s + h + w*s**3 + j*s**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189.996837 - 0.161311.\nAnswer: -190.158148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(sqrt(350)*1 - sqrt(350)) + sqrt(350))\/(sqrt(28)\/(-2*sqrt(4)) + sqrt(7)))**2*-1 + 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -88, 0.2, -180?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2016 + -2011. Which is the smallest value? (a) 0.4 (b) 41 (c) 5\/4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -481580 - 248?\nAnswer: -481838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 0.01 (b) -2\/7 (c) 0.3 (d) -2.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5370.9 + -5371. Which is the biggest value? (a) t (b) 249 (c) -2\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/2 + 2407*c**4 + 91231*c**3\/2 + 302247*c**2 + 776898*c + 517860 = 0. Calculate c.\nAnswer: -4795, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -16 + (24 - 5) + 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 0*v**5 + 0*v**4 + 177\/7*v**7 - 59*v + 0*v**2 - 2\/3*v**3 + 0*v**6 + 128. What is the third derivative of s(u) wrt u?\nAnswer: 21240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 349*f\/2 - 87\/2.\nAnswer: -(f - 87)*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 + -2.9. Which is the closest to -1? (a) -2\/21 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87 + 2b5?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 885 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4031 and -0.5?\nAnswer: 2015.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -420? (a) -2 (b) 2 (c) -0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3 - 39\/12). Let u(v) = v + 2*v + 0*v - k*v. Let m(j) = -4*j + j + 5*j. Determine u(m(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*t + 224 = 0. Let q = 36 - t. Find the third derivative of 6*p**4 + p**4 - 10*p**q + 6*p**2 + 0*p**4 wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = r + 20, 5*r + 16 = 3*r - 2*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 84 - 207 = 3*t, -3*u + 26 + 91 = -3*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186 is divided by 53?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -3*x, 5*x - 32 = 4*y. Let d be 7*(1 - (-2 + y)). What is the greatest common divisor of 336 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 5}. What is prob of sequence yy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*w - 2. Suppose -6 = 1638*a - 1640*a. Find the first derivative of 19 + 296*h**a + w*h - 3*h - 305*h**3 wrt h.\nAnswer: -27*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1132 - -1144.06. Round m to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100\/62403 + -4\/183. Do p and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -8.247.\nAnswer: -2.4741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:29 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1996*l - 18183. What is o(9)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -20*o**3 - 79*o**2 - 5*o - 5. Let b(y) = 20*y**3 + 83*y**2 + 6*y + 6. Give -5*b(m) - 6*r(m).\nAnswer: 20*m**3 + 59*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1914650*s**3 + 336467 wrt s.\nAnswer: 5743950*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-9) + (-16)\/(-72). Suppose 0 = 2*g - 4*a + 5 - 1, 4*a - 8 = 0. Solve o*t - 2 = g, 5*b = t - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -763, -3099, -6989, -12433?\n\"Answer: -777*t**2 - 5*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j + 2. Let a be c(2). Let x(b) = 2 - a - b**2. Let u(q) be the third derivative of q**5\/20 + 4*q**2. Calculate x(u(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20\/7 (b) 0.4 (c) -5 (d) -66\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**2*i**2*y - 2*h**2*i*y**3 - 7*h**2*i*y + 1713*h*i**2*y**2 + i**2 + i*y - i wrt y?\nAnswer: -12*h**2*i*y + 3426*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2488 and 101\/378.\nAnswer: 470232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-20 - -18)) + (2 - (3 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 0*d**3 + 6*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*s = 2 - 6, -5*q + 5*s = 0. Let h = -85\/63 + 1\/63. Let c = 2 - 0. What is the biggest value in 4\/5, c, q, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 13, 2, 15 in descending order.\nAnswer: 41, 15, 13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-20 - 36) - 90\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/4847?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(-1\/39)*m**(-3)*m*m**3*m*((m**0)**(-3\/2))**15 assuming m is positive.\nAnswer: m**(544\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/7, -5\/2, 0.7, -2, -17\/5, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 2. Calculate c(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2472*i - 3*u - 21 = 2484*i, 4*u + 6 = 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848 take away -4837?\nAnswer: 6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12222, 20, 4, 0, -17 in decreasing order.\nAnswer: 20, 4, 0, -17, -12222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 55 = -9*y, -39*o - 15 = -35*o + y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -52*(-4 - -2)*1. Let y = s - 104. Suppose -10 = -5*g - y*g. Solve -g*l + 5*l - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/255 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 179. Suppose -3*u = 3*w - 411, x*u = -2*u - 3*w + 544. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 15. Suppose -4*d - 2*t = -72, -y*d + 7*d - 5*t = 120. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-172)\/5*(-15)\/2. Suppose -2*w - w - 2*v = -142, 0 = -5*w + 2*v + q. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1826\/221 + 112\/13. Which is the third smallest value? (a) l (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/30 - v**5\/5 + 187*v**2\/2 - v + 55. Let a(q) be the first derivative of c(q). Let a(d) = 0. What is d?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18587.141975 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q = 0. Solve -x + q*x - 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62797657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000546815 to 7 decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2520, -3, 90 in increasing order.\nAnswer: -3, 90, 2520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.6 + -30.6137. Let v = -0.012 - f. Round v to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112341 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g = 85*g + 27. Let n be (-26)\/(-10) + 4\/10. Let y be 20\/6 - 1\/n. Solve -c + g = y*l, -c - 2*l + 4 + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:16 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-384)\/(-40))\/(266\/(-665)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3254, -6218, -9182, -12146, -15110, -18074?\n\"Answer: -2964*p - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 69*q - 260.\nAnswer: -(q - 65)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 3*q - 2.\nAnswer: -(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*u + 84*u - 4501 + 90*u.\nAnswer: -15*u - 4501","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77912 divided by -8.\nAnswer: -9739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6.695. Let i = -0.33 + k. Sort 0, 3\/4, i in ascending order.\nAnswer: i, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {x: 4, c: 1, s: 1, n: 1, g: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46680567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 24. Let f be l(-14). Solve 5*t = f - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 105 + 14*f**2 + 11*f + 36 + 21*f**2 + 36 in the form p*f + l + m*f**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31\/2 (b) 1\/3 (c) 2\/7 (d) 1\/10 (e) 0 (f) -1625 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**4 - c**4 + 3*c**4)*((2 - 2 + 1)*(0 + 3 + 1)*(-1 + 0 - 1) + 2 + 3 - 3) to the form p*c**3 + t*c**4 + n + z*c + y*c**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432851, -865937, -1299025, -1732115?\nAnswer: -2165207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 110*n - 2*n**2 + n**2 - n**2 + 95*n as b*n**2 + y*n + f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110775449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101072 - -101049. Let n = -2 + 1. What is the closest to n in m, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -12\/1915483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, 3, 15 in increasing order.\nAnswer: -5, -3, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-50)\/(-15))*-12. Let j(a) = -5*a**2 + 0*a**2 + w*a**2. Let o(d) = 16*d. Determine o(j(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -548.\nAnswer: 11\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 95.8. Let i = 6.8 - v. What is the nearest to 3 in -0.5, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/6*226\/(-16385)*-319.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 68 and 57835.\nAnswer: 57903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -741 + 740.7. What is the third biggest value in a, 0.1, -1.6, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128366465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1290183065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 681623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 6. Let d be o(5). Let i = -6 - d. Suppose 3*s - 5*h = i*s - 90, 18 = s + 2*h. Calculate the remainder when 53 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.211, -15, -1 in increasing order.\nAnswer: -15, -1, -0.211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/h**7)\/h*h**(1\/5)*(h**(2\/5))**(-1\/11) assuming h is positive.\nAnswer: h**(-321\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-16)\/(f**3\/f**(-4)) assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2960\/(-36))\/10 + 8 + (-490)\/(-18)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -30. Which is the nearest to h? (a) -2 (b) -1\/3 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tptt when four letters picked without replacement from {p: 3, t: 6, n: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408658707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (22*22\/121)\/((42\/(-30))\/7)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 13*n - 58. Let j be f(-4). Find the second derivative of -3*h + 65*h**3 + j + 133*h**3 + 30*h**3 - 6 wrt h.\nAnswer: 1368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 - 2*n**3 + 25*n - n**2 - 112 as t + o*n**2 + p*n**3 + v*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3 = 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqz when three letters picked without replacement from qkquzkhhkkppqqkkk.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 - c. Let b(n) = -19*n**3 - 18*n**2 + 3*n - 31. Calculate b(m) + 3*g(m).\nAnswer: -22*m**3 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25787? (a) 2 (b) -2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (76\/(-6))\/((-9)\/(-54)). Let z = -301\/4 - s. What is the smallest value in z, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (125\/(-2))\/((-31)\/186). Let v(b) = 753 - 378 - j - b. What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 3. Let z(g) = -2. Let b(i) = -i + 4. Let j be b(7). Let k(y) = j*z(y) - 2*v(y). Let o(x) = x - x**2 - x. What is o(k(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(500)*-1 + 2.\nAnswer: -10*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29425*y**4 - 34144.\nAnswer: 117700*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(12\/(-3)) - 19\/(-1). What is the greatest common divisor of 342 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 37*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12159, 12199, 12289, 12453, 12715, 13099?\nAnswer: 13629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 20076?\nAnswer: 1104180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-264\nAnswer: -237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4\/26 + (-16)\/312*-9123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + 0 - -4) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 176021394 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 702742448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926 - 48965 = 2767*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*b + 1 = -3, 2*g - 4*b = 4. Calculate the common denominator of 123\/(-6) + 0 + g and 91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, -1, -95 in ascending order.\nAnswer: -95, -1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (170\/12)\/5 + (-25)\/(-150). Suppose -3*l - v*c = 2*l - 1462, -4*l = 2*c - 1168. Is 55 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201202200012 - -111?\nAnswer: -201202122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x - 58. Give c(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-9)*25\/(-100)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 102 = 2*m. Solve m*x - 32*x + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.6 + 18.5. Let a be ((-3)\/(-2))\/(-1)*44\/231. Sort -0.4, -4, s, a in increasing order.\nAnswer: -4, s, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = -4*o, 5*o - 12 - 3 = 0. Let x = -3 - t. Suppose z - 2*g + 4 = 2*g, -z - x*g + 24 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 3.4. Which is the nearest to 0? (a) 4 (b) d (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 2 + (-1*sqrt(72) - sqrt(72)) + -4)*1.\nAnswer: -72*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 10 - 71) + 2\/((-24)\/(-36))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880.06 times -3?\nAnswer: 2640.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -w. Suppose 0 = -o - 4*o + 205. Let a = -29 + o. Solve 7*k = w*k - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -25959 - 32847. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a**2 + 13*a - 126 - 7*a - 3*a**2 + 4*a**2 + 49. What is h(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62023*u + 2 - 2.\nAnswer: -62023*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.213171 weeks?\nAnswer: 3757725.8208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 2. Let t = -2\/27 + -71\/135. Let f = -1.027 - -0.527. Which is the third smallest value? (a) f (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-156) - 14\/24*-10. Let g(q) = -q**2 + 6*q + 3. What is g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. Let a(u) = 34*u - 2. Does 17 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:01 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -22*d + 50 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-21) + 1 - (-4 - -7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-4)\/(-4) + 38). Let y(g) = 4*g**2 + 2*g - 3. Let p be y(-5). Let l = v + p. Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176890 is divided by 245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcgcgccgggccc. What is prob of picking 4 c?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-4 + 0 - (-249 - -287))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3606849, -14427292, -32461339, -57708996, -90170269, -129845164, -176733687?\nAnswer: -230835844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 23 - 0. Suppose -2*n + 1 = 9. Let f(b) = b**2 + 2*b + 4. What is the remainder when c is divided by f(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3\/3 - 1. Let p(c) be the third derivative of c**5\/20 + 9*c**2. Calculate p(g(u)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/703 or 0?\nAnswer: -28\/703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1315561 - -1318564.0064. Let y = c + -2995. Let l = -8 + y. Round l to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 64*a**2 + 42*a + 36. Differentiate f(k) with respect to k.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29860 divided by -1939?\nAnswer: -29860\/1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.228 in -0.5, 3, 1, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3629706 + 0.363. Round b to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716 divided by -179?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkddddzfdzkkfzk. What is prob of picking 1 z and 2 f?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, k: 2}. Give prob of picking 1 v and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 331, 507, 685, 865, 1047?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11267, -11266, -11265?\nAnswer: -11264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 4*s**2 - 12*s + 4. Let o be m(-6). Determine c so that 2\/3*c**2 + 0 - c**3 + 0*c + 1\/3*c**o = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24 = 9*f. Let z be 9\/(-2)*4\/f. Suppose -z*u = u - 0*u. Solve u = 5*o + 7 + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -119*z**6\/6 - 172*z**3\/3 + 179. What is the third derivative of u(g) wrt g?\nAnswer: -7140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = -401. Let q be 27\/b + (-248)\/(-10). Suppose 4*i - 97 = -q. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 6*z**2 + z - 3 + 3 - z**2 + (2 - 6 + 3)*(0 - 2*z**2 + 0) + 446*z**2 - 920*z**2 + 308*z**2.\nAnswer: -159*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 + 7*g + 19. Calculate a(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088105?\nAnswer: 5, 269, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6110.\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t + 0 - 10 - t**2 - 2. Let x be (-51)\/(-68)*2\/(-3)*-16. List the prime factors of c(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*w - 1125, -5*b - 130*w + 133*w + 1119 = 0. Calculate the greatest common divisor of 204 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 2. Let j be o(3). Let k(t) = 10*t - 3. Let y(n) = n - 1. Let p(c) = j*k(c) + 2*y(c). Give p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*1)\/sqrt(11) + -1.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*p + 4*p + 17, 5 = 2*n + 3*p. Suppose -3*m = u + n, 6 = -2*m - 2. Solve -4*j = u*g - 1, 2*g + 2*g = 4*j - 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, z: 2}. Give prob of sequence zzc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17415 - 17414.9. Which is the third biggest value? (a) -2\/13 (b) -5\/4 (c) 0.3 (d) -12\/19 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67594559*i - 82491606?\nAnswer: -67594559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2397 = 940*z - 24021 - 14096 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-112)\/36 + (-18)\/(-27)*9. Is -2\/29 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**8\/26880 + v**7\/10080 - v**6\/2880 - v**5\/480 + v**4\/6 + v. Let q(n) be the third derivative of i(n). Factor q(u).\nAnswer: (u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4 - 2727*y**3 + 1841140*y**2 + 24783300*y - 262766000 = 0.\nAnswer: -20, 7, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - n - 26 = -4*w, 2*w - 2 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/2*30\/9. Calculate the highest common divisor of l and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5\/4 - 3*m**4\/4 + 27*m**3\/4 + 27*m**2\/4 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Let n(w) = -w + 6. Let u be n(k). Let i be (u\/(-3))\/(10\/(-15)). Solve 0*x + x = -i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*q - 4*q. Let r be 1\/4*4*q. Solve 2 + 2 = k + r*b, -12 = -3*k + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2068, 0.4, -2, -31, 1.4, -0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -72*p**2 - 3*p - 32. Let c(r) = 24*r**2 + r + 10. What is 19*c(q) + 6*k(q)?\nAnswer: 24*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*h - 28 = -3*p, 4*h + 16 = -4*p. List the prime factors of p + 24 + -2 - 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*u - 433*u - 1023*u - 37422 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1266, 8\/3, -1\/39, -0.3, 3\/7?\nAnswer: -1266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 203.9596 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + 8. Calculate the greatest common factor of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*w + 2, 0*w - w = -3*f - 19. Let u(l) = 6*l**2 + l. Let b be u(-1). Suppose -n - 50 = -b*k - 0*n, -4*k + w*n = -24. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043*138039\nAnswer: 5935.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 51*k + 181. What is f(49)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785 = 4*m + 3*l, -4*m + 2*m + 379 = -3*l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 10464.\nAnswer: 31392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/208*446 - (0\/(-6) - (-25)\/20)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 4*m + 2. Let c be o(2). Suppose i - c = -0*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v)*(v**2 - 3*v**2 + 3 - 17*v + 12*v).\nAnswer: -2*v**3 - 5*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -679*i + 5848 + 1835 + 3860 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000889595 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1157, -9401, -31839, -75569, -147689, -255297, -405491, -605369?\nAnswer: -862029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - 5?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 11*c**2 - 14*c + 13. Let t = 240 - 228. What is n(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 2 - -5 - (-5 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 55. Factor 8*u**3 - 4*u + 46 - f - 4*u**2 + 18*u**2.\nAnswer: 2*u*(u + 2)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 353893 - 140114. Let d = -118779 + o. What is d rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*r + 24 = 0, w + 4 = -3*r - 2. Suppose -w*v - t + 2*t + 3 = 0, v = -5*t + 17. Is 20 a factor of (-555)\/30*v*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 10 - (0 + 2). Let w be 8\/(-4*(1 + (-3)\/j)). Let i(k) = 2*k**2 + 4*k - 4. Determine i(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -15*d**2 + 10903236*d - 4361292 = 0.\nAnswer: 2\/5, 726882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -t - n, -6*n - 35 = -t - 8*n. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**2*i**3 + 458*a**2*i + 206849*a*i**3 + 8*a*i**2 - 3*i - 2075 wrt i.\nAnswer: 42*a**2*i + 1241094*a*i + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4576607, 4576619, 4576631, 4576643?\n\"Answer: 12*t + 4576595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833159.\nAnswer: 421, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10827 and 978.\nAnswer: 3529602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 3257 - 3257.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -48 - 2*x**2 - 40 + 88. Let l be -15*8\/(-100)*(-310)\/(-3). Let w(k) = -l*k + 4*k**2 + 124*k - k**2. Calculate i(w(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8860 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**3 + g + 1. Suppose 2*x + 2 = -0*x. Let p be b(x). Is 68 + -1 - p\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + -5.12. What is the nearest to 1 in v, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358330973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -609004 at least -608963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a057 (base 12) to base 5.\nAnswer: -1023342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10124 - -9983. Which is smaller: -1.3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645418565?\nAnswer: 3, 5, 7, 199, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.398 and -12625.\nAnswer: -12617.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 914850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 25*x**3 + 10*x**3 + 22*x**3.\nAnswer: 67*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2 + 13*j - 9. Let y(w) = w**3 + 5*w**2 - 5*w - 7. Let f be y(-6). Let u(d) = 6*d + 2 - 6 - 5*d**2 + 0 + d**2. Give f*u(t) + 6*v(t).\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10133311 (base 4) in base 12?\nAnswer: a7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-4)\/(-6)). Let h = -135 + 132. Let b = 0 - -0.1. What is the closest to s in b, -2, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 i when four letters picked without replacement from {u: 6, i: 6}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let u be f(-1). What is the third smallest value in -3, u, 3\/8, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05516 + 1.05516. Let f = 26 + -13. Let i = -9 + f. What is the closest to -5 in v, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4990107 and -0.6.\nAnswer: -4990107.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9713605 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1. Suppose 0 = 4*u + d - 4*d - 54, -4*u + d + 50 = 0. Let r(f) = -5*f + 12. Let z be r(u). Let t = 46 + z. Give j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60925?\nAnswer: 5, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxo. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.25 - -3.45. Which is the closest to u? (a) -0.2 (b) -2\/9 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 903 and 587208?\nAnswer: 4110456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d + 126 = 111*d. Let b be ((-80)\/(-24))\/(2\/3). Calculate the remainder when 1*(d + (-10)\/b) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3928567042.\nAnswer: 2, 1964283521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hih when three letters picked without replacement from zhiwwhhhx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + cbdcc?\nAnswer: cbdcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -4 (c) -67 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 22364*n + 22421*n - 44850*n.\nAnswer: -65*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from chchccttccccchhctc.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48618380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*146\/(-20)*(454 + -459). Suppose -r - 4*r - 323 = -4*q, -4*r = 3*q - 219. Solve -q + h = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 4*k**2 + 3*k - 1. Let d(g) = 3*g**3 + 5*g**2 - 4*g + 1. Let w = 18 + -13. Calculate w*r(n) + 4*d(n).\nAnswer: 2*n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 157573472.2219 - -1?\nAnswer: 157573473.2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3015*a**2*k**3 + 3*a*k**3 - 989*k**3 wrt a.\nAnswer: 6030*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 + 21 = 0. What is the third derivative of -26549*o**u + 26549*o**3 + 8*o**2 - 7*o**6 - 3*o**5 wrt o?\nAnswer: -840*o**3 - 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 + 28 = 0. Calculate the remainder when 21 is divided by 24 + q*(-15)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z - 8. Let p = -497 - -497. What is r(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 23*k**2 - 48*k + 780. Calculate a(12).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 - 2*c**2 - 16*c**3)*(c - c**2 - c).\nAnswer: 16*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 12 - 28 + 16.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 390*m**4 + 19*m + 164373?\nAnswer: 1560*m**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 - 11 = -13*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**6\/40 - 3*l**5\/20 + l**4\/2 - 43*l**2\/2 + 1. Let b(d) be the second derivative of r(d). Factor b(c).\nAnswer: -3*c*(c - 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 + 364*h**3 + 7716*h**2 - 25756*h + 17672 = 0. What is h?\nAnswer: -47, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970460.\nAnswer: 2, 3, 5, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20370\/42 - (6 - 1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68\/91 - -6\/13. Let o = -2890 + 2891. Which is the biggest value? (a) -0.05 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*p - 10 = 0, 4*v = 6*v + 5*p - 25. Let w be (v + 1)\/((-9)\/(-27)). Which is the closest to -1? (a) 0.4 (b) w (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/6 - 2*t**3\/3 + 8*t**2 - 9*t + 2. Solve x(w) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (5 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {n: 5, v: 1, q: 1, s: 2, d: 1, e: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 15*p**3\/2 + 1075*p**2\/4 + 2355*p - 400 = 0.\nAnswer: -20, -16, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216109 is divided by 1385.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 42*x**2 - 73*x - 14. What is w(44)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let g be i(-3). Let a(n) = -n**2 - 2*n + 5. Let j be a(-2). Let l = 47 - 52. Sort l, g, j, -2 in increasing order.\nAnswer: l, g, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53021 by -67.\nAnswer: -53021\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:01 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/3)\/((-48)\/(-144)))\/((-8)\/14).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 371 (base 13) to base 15\nAnswer: 29e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjgjg. What is prob of picking 2 j and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 16 = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/(-8)*(-456)\/(-266)*63\/(-27).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*m - 12 = -114*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 12*l - 1. Let w be 1*72\/27 + l\/3. What is the third derivative of 24*q**3 - 3*q**3 + 6*q**w + 28*q**2 wrt q?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -746947*r + 746970*r + 146, -4*y = 5*r - 6*y + 25 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -879 by -12202.\nAnswer: 879\/12202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152957.\nAnswer: 7, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1 + 372\/(-61008)*648\/(-2).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.8 + -67.8000004188. Round o to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-6)))\/(b\/(b\/b**5)*b)*(b**(-1))**(-16))\/(b\/b**9*b*b\/b**(5\/4)*(b*b**7)\/(b\/(b\/(b*b**(5\/7))))) assuming b is positive.\nAnswer: b**(167\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17606 + 48205. What are the prime factors of n?\nAnswer: 37, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 9. Let s = -23 + v. Find the common denominator of s and 49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x**2 + 12*x + 15. Suppose -92*b - 210 = 96 + 798. Let m(q) = -q + 4 + 6*q - 6*q**2 + 2. Determine b*m(y) + 5*p(y).\nAnswer: -3*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 409 - 365 + 2*q - 5*q - 1237 + 2*q to x*q + y and give y.\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -106, -101?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4 = 2*y, 2*x = -x - 2*y - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399410, -398899, -398392, -397889?\nAnswer: -397390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 13*n - 9*n + 23*n + n**3 to the form y*n + p*n**2 + d + m*n**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3756*n - 26229. Give a(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -745650, -1491292, -2236934, -2982576, -3728218?\nAnswer: -4473860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 28 - 125 + 11*q**2 + 2*q**2 + 20.\nAnswer: 5*q**2 - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let w(b) be the first derivative of b**3 - 890. Give x(w(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/99)\/(14\/(-51 - -93))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 258595*j - 6985710.\nAnswer: 5*(j - 51746)*(j + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cppa when four letters picked without replacement from {e: 2, c: 3, p: 7, y: 1, t: 1, a: 4}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3575 - 3575.1. What is the third biggest value in -6, 9\/7, g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 20522.\nAnswer: 123132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-11)\/(-3) + 3472\/372.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 3. Suppose 0 = -2*s - 2*s + 3*a + 12, -2*a - 8 = -2*s. Suppose -3 = -q - s. Suppose -5*d + q*d = 8. Calculate u(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17250 and 62187750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 - 104*x + 568. Let u be k(19). Solve 74*n - 38 = u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*x - d**3 - 2*d*x**2 - 28*x**2 + 19 wrt x.\nAnswer: -d**3 - 4*d*x - 56*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620895 and 2385?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/11 - 6*s**3\/11 - 2*s**2 + 6*s\/11 + 20\/11 = 0. What is s?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362065 is divided by 340443.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -142 + 52. Let g be 50\/j + 4\/18. Let q be g*(-2 - (-7)\/3). Solve o = -q + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/66 and -121\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1635 (c) 0 (d) -2 (e) -224 (f) -2\/9 (g) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6776 - l - 2250 + 7*l - 2241 - 2246. Determine y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/20)\/(60\/1216))\/((-348)\/870).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*d**2 + 1297*d**2 - 2419*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/63, 6, 1\/7 in decreasing order.\nAnswer: 6, 1\/7, 2\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 0 (c) 2.127 (d) 3 (e) 5 (f) 36 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27363281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -31054, 0.5, -3 in increasing order.\nAnswer: -31054, -3, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 23620 and 23618 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 117\nAnswer: 5\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 0 + 0)*(6 + 1 + 10)*(3*l**3 - 5*l**3 + 3*l**3) + 118 + 28*l**4 - 118 to the form u*l**4 + c*l**3 + h*l + d*l**2 + r and give u.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201189501.\nAnswer: 3, 29, 41, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*d - d + 20, -3*d + 34 = 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = -2*j, 4*w - 9 = -w + 3*j. Suppose 0*h + 3 = w*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccnnnccc. Give prob of picking 4 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/382900 and -97\/2259110.\nAnswer: 22591100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/26 + (-8)\/52. Let d be ((-12)\/18)\/(i\/6). Let x = 2 - 0. Sort d, x, -2 in decreasing order.\nAnswer: x, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 6985.58.\nAnswer: -27942.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*h**3*l**3 + 4*h**3*l**2 - h**2*l**5 - h**2*l**2 + 8*h**2*l wrt l?\nAnswer: 1002*h**3 - 60*h**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26544 (base 11) to base 6\nAnswer: 451321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 185 (b) -1\/473 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4488703l in millilitres?\nAnswer: 448.8703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 22. Let l be h(3). Let x be (3 - 4)*(0 + 0). Solve x = -5*b - 0*b - l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (247\/(-2))\/(73302\/(-15432)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 + 745. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 46.4698.\nAnswer: -51.4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19807 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 2\/1927 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 + 2*g + 4. Let j be -1*6\/2*1. Let v be z(j). Let t be 1159999\/(-2) - (-1)\/v. What is t rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*b - 2*c, 5*b - 16 = -3*c. Let m = 11 + -20. Let g = b + m. Let f(k) = -2*k - 1. What is f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(70\/8) + (-69)\/84. Which is the third biggest value? (a) n (b) -0.057 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41835.\nAnswer: 3, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 - 25 = 0. Suppose -6*r + x = 32. Which is the closest to -1? (a) -0.1 (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n*n*n\/(n**8\/n*n)*(n**(-2))**(-21))\/((n**7*(n*n**(-1\/6)\/n)\/n)\/(n*n\/n**(1\/4))**(-8\/15)) assuming n is positive.\nAnswer: n**(787\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -9*j + 12*j + 2, 4*s - 12 = -2*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -19 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -212\/5. Let x = -102\/11 + 477\/55. What is the second biggest value in 2, 0.1, x, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-4)\/112)\/((-3)\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8241 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/4, 556, -2\/9, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/7 + 52*f**3\/7 + 54*f**2\/7.\nAnswer: -2*f**2*(f - 27)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szsdzsdzldbzs. What is prob of sequence bsz?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0 + 1 + 5)*(2 - 2 - a).\nAnswer: -a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12554061 and 1119.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.099 - 0.188. Let t = -0.013 + x. Which is the second biggest value? (a) -6 (b) t (c) -1\/2 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.38 and 267.\nAnswer: 368.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -43, 2 in descending order.\nAnswer: 2, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 19*l**2. Let a(h) = -49*h**2 + 2*h. Give a(r(b)).\nAnswer: -17689*b**4 + 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -3, -30972, -5, 1\/2, 2 in increasing order.\nAnswer: -30972, -5, -3, -3\/8, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Let d(z) = 11*z - 11. Let p(q) = -4*q + 4. What is f*d(c) + 8*p(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5 + 36\/5*q + 3\/5*q**3 - 18\/5*q**2.\nAnswer: 3*(q - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794839400 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - -60724?\nAnswer: 60708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*h + 475. Suppose -4*i - 36 = l, 2*i - i = 3*l + 43. Let b be (l\/(-20))\/(4\/h). What is the greatest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/2)\/((-6)\/(-12)). Let v(t) = -t**3 - 4*t**2 + 4*t + 1. Let i be v(d). Suppose 0 = -4*l + i*l - 134. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -813 in 0.7, 0.5, -1896?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -33124*p**5\/5 - 329784*p**4\/5 - 416068*p**3\/5 + 813744*p**2\/5 - 35152*p\/5 + 384\/5 = 0.\nAnswer: -8, -3, 2\/91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfp when three letters picked without replacement from {f: 1, d: 2, m: 4, p: 2, z: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 3*l**9\/56 - 23*l**5\/60 + 21*l**2. Find the third derivative of q(p) wrt p.\nAnswer: 3240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/25)\/q**5)\/(q*q**10*q**(-20)) assuming q is positive.\nAnswer: q**(99\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y + 81. Give p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:19 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + o)*(2 - 2 + 2*o) - 7 + 7 + 2*o**2 - 4*o + 3*o + 16*o**2 + 12*o**2.\nAnswer: 32*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 27884*c + 82533984.\nAnswer: 2*(c - 9678)*(c - 4264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 508585733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*b + 20 = -513*b - 2*y, 4*y - 40 = -4*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11085 - -11?\nAnswer: -11074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + (2 - 19). Let x be (-245)\/(-9) - (-4)\/m. Suppose 5*j - q = -x + 261, 4*j + 2*q = 176. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvvi when four letters picked without replacement from ivuhvii?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101246 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1\/134, 4148, -2\/9 in ascending order.\nAnswer: -18, -2\/9, 1\/134, 4148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38991.8579 + 38990. Round y to 2 dps.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -388 + 813. Suppose -4*i - 3*p = -r, 2*i = -3*p + 52 + 159. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*t + 50*t + 41*t to g + d*t and give d.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3624 + -1644?\nAnswer: -5470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38c748b (base 13) to base 4.\nAnswer: 1003330010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {u: 1, p: 1, w: 3, t: 1, v: 6, z: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 38 = 138 + 40 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19649122.\nAnswer: 2, 337, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - a + 23 = 0, a = 4*a - 9. What is the highest common divisor of 110 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3*304\/(-456). Sort 86, 4, k.\nAnswer: k, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-12) + -1)*0. Suppose c = -6*t + 2*t + 12. What is the smallest common multiple of t and 71?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*-31.\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -20. Suppose 2*r = -2*r + g*i + 2520, -3*r + 1890 = -2*i. Suppose -r = -8*s + 2*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 8\/5*y - 2\/5*y**4 - 2\/5 + 8\/5*y**3 - 12\/5*y**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20960 is divided by 1001?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(175)*-6 - (sqrt(7) + (sqrt(70)*6)\/sqrt(10))) + -2)**2.\nAnswer: 518*sqrt(7) + 9632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119*b**5 + 62*b**5 - 80*b**5 + (-2*b + 1 - 1)*(2*b**2 + 2*b**4 - 2*b**2) - 2*b**5 + 0*b**5 + 0*b**5.\nAnswer: -143*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 13*c - 44. Calculate n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27 and 36281246?\nAnswer: -9795936.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 82094 = -3414. List the prime factors of k.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13161\/(-214))\/41*4\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 0.966.\nAnswer: 5.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3422535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:33 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4000)\/(-4320) + 2\/27. Let z(u) be the first derivative of 5*u**4\/6 + u**3\/3 - u**2\/2 - 2*u - 2. Let p(q) be the first derivative of z(q). Give p(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 9. Let o be f(-11). Solve y - 2*y = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1200)\/2000)\/((-9)\/6*1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4656, -4594, -4532?\n\"Answer: 62*b - 4718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11629216 and 589?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.5, 2\/3, -1, 0.5 in ascending order.\nAnswer: -4.5, -1, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9166 (base 15) to base 12.\nAnswer: -15920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*l - 0*l - 48, -117*l = -2*a - 110*l + 132 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}