diff --git "a/data/dm_maths/full_data/1026_11255.jsonl" "b/data/dm_maths/full_data/1026_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1026_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {x: 4, k: 2, z: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z**2 + 266*z + 238. Calculate h(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485285603 to the nearest integer?\nAnswer: 22029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -4*j - 8, 20 = 4*j. What is the remainder when 118 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.413501um in nanometers?\nAnswer: 9413.501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmzmnnmmzmnm. Give prob of picking 1 z and 2 n.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*u + 5*u - 22, -5*i + 5*u = -20. Let n be (-8)\/3*(-9)\/i. Suppose -5*m - n*z + 165 = 0, -4*m + 3*z + 101 = -0*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.0193 (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12962961 by 11.\nAnswer: -1178451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -750119183*l**5 - 2*l**2 - 234730280 wrt l.\nAnswer: -45007150980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/18*(-94)\/517*-99?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + 83. Let u = q - 138. What is the biggest value in u, -1\/4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(425))**2 - sqrt(833)*2).\nAnswer: -56*sqrt(17) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -449 in descending order.\nAnswer: -5, -12, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7351\/42 less than 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 15. Give o(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g + 5. Let y be (4\/18)\/((-10)\/15)*33. Let b(z) = -2*z - 1. Determine y*b(u) - 2*m(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3167 divided by 3167?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19609, 78450, 176519, 313816, 490341, 706094?\nAnswer: 961075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + l = -2*b + 9, -5*b - 3*l - 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*h**5 - 2152*h**2 + 104962408*h?\nAnswer: 1840*h**3 - 4304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let q(g) = 54*g - 62. Let k be q(1). List the prime factors of ((-19)\/4)\/(l\/k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 182\/321?\nAnswer: 182\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*u = -45, -47*b - 5*u + 17751 = 17951 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 2, p: 3, h: 3, g: 1, x: 2}. What is prob of sequence hx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-4676.653\nAnswer: -7950.3101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**34*g**(12\/7))\/(g\/(g*g**3))**(-35))**(2\/11) assuming g is positive.\nAnswer: g**(-970\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (37\/4)\/(15 - (-714)\/(-48)). Solve -204 = -23*z + q*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 7158 = -12378. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 16*o**2 + 16*o - 24. What is f(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (12\/(-132) - 712\/(-330)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1368a65 + 1?\nAnswer: -1368a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417.00261 + -417. Round c to four decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97528 and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + -6 + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/134 and 115\/14.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 812*n + 580. Let j(o) = 810*o + 579. Let k(u) = -6*f(u) + 7*j(u). Differentiate k(m) with respect to m.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k - 25. Let g = 26 - k. Which is the biggest value? (a) -1 (b) -0.4 (c) g (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 + 110111000101?\nAnswer: 110110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -164e + 15917?\nAnswer: 142b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5 - 4, 0 = 4*o - 2*c - 150. Suppose 0 = -3*z + 15, -4*a + 3*z + 25 = -0*a. What is the remainder when o is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 11.1. Let o = p + 6. What is the second smallest value in o, 2\/15, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-24))\/(2\/240). Let n = 188 - j. Let c be ((-42)\/8)\/(63\/(-168)). What is the highest common divisor of n and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125.8 - 126. Let j = -125 - -120. What is the smallest value in -1\/3, b, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -335724?\nAnswer: -167862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67970*r**2 - 14381.\nAnswer: -135940*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -5*j, -4*v + j = -0*v + 15. Sort -3, v, -1 in descending order.\nAnswer: -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48319 = -5*t + 27816. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567085947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -526, 0.2, 4, -2?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 + 2. Let d be z(2). Calculate the remainder when d\/4*(-107 - 9) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from mwfmmwm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 96 = 44 + 25. Let k(y) = 40*y - 24. Let f(h) = 8*h - 5. Give i*k(l) + 14*f(l).\nAnswer: -8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -44 + (-2 - 0) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 270, 393, 536, 705, 906, 1145?\n\"Answer: j**3 + 4*j**2 + 104*j + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*q**3*t + 6*n*q - 2*q**3*t + 445*q**3 + 207*q**2*t - 10*q**2 wrt q.\nAnswer: 6*n*t - 12*t + 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 611987 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6806.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 540 - 552.35. Let j = -12 - t. Let m = j - -0.05. What is the second biggest value in -1, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -11446300?\nAnswer: -1\/2861575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20*3\/(-96)*-8. What is the smallest value in -31, c, 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26)*(-7)\/7*-2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/202016 and 115\/2688.\nAnswer: 16969344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -20300 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 1632824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-24)*0)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*j = -27, -j + 18 = 2*w + 2*j. Let p be (w\/12)\/(7\/(-6) - -2). Which is the closest to p? (a) 1\/4 (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 3, j: 2, l: 4}. What is prob of sequence ooml?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 12:03 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5572 divide 755836228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (184\/56 - -1)*(-210)\/(-2). What is the greatest common divisor of f and 1260?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3, 0*t - 3*h + 21 = 4*t. Let j be (0 - -12) + 8\/((-6)\/t). Put j, -1, 2 in ascending order.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*q + 863, -15*b = -q - 10*b + 301. Is q a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 348*y + 40471. Calculate l(92).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:19 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30456 is divided by 566?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 412 + -227. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {r: 1, g: 3, b: 6, h: 1, e: 2, p: 2}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 divided by 40?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-45))\/((-105)\/(-25) + -3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 10, p: 6}. Give prob of sequence pppk.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.07, 1, -0.23, -0.1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1992 (base 15) to base 2\nAnswer: 1010110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 27. Let s = -25 - h. What is the least common multiple of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/24*240\/1350?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-105)\/(-10))\/(45\/408). Let q = u - 94. Sort -1\/6, 4, 0, q.\nAnswer: -1\/6, 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2 + 2*j - 2*j - 2*j + 0*j. What is the units digit of v(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.98 minus -468336?\nAnswer: 468333.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5582?\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 253 = 5*p, -4*z + 334 = p + 1304. Let r = z - -245. Which is the closest to 0? (a) r (b) 0 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 - (-2262)\/21. Let s be p\/14 + 2\/7. Suppose 17*z - 58 = 27. Solve -z*m + s*m + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243342131 + -13?\nAnswer: 243342113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 721*n**2 + 5*n**3 + n - 3*n - 4*n**3 - 2 - 368*n**2 - 364*n**2 to the form v + y*n + r*n**2 + d*n**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 151*c - 35167 = 150*c, 5*c - 15 = 0. What are the prime factors of b?\nAnswer: 2, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.185 in -4, -0.5, 3.31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (3 - (3 + -2)). Let s(j) be the first derivative of j**4\/4 + 5*j**3\/3 + 2*j**2 + 2*j - 1. What is the units digit of s(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 7*i. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 - 61. Let h = 47 + o. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3 + 4. Suppose 4*w + j = -33. Let s = w + 10. Solve s = 2*t + 2*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 19*d + d**3 + 13370 - 6692 - 6690 to the form x*d + w*d**3 + i*d**2 + z and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35877, 0, -9 in decreasing order.\nAnswer: 35877, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x + 2. Let p be z(3). Suppose 2*w - 25 = -3*w + 4*s, -4*s = p. Let o be w\/2 + 21\/14. What is the greatest common divisor of o and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from knnbbonojjrkrkkkk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:08 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -82000 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104585405*m**2 + m + 104585404*m**2 - m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5296*k - 25987*k - 88*k in the form x*k + i and give x.\nAnswer: -20779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1632, 2, -37690?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - (-248)\/(-36)) + 1\/(-3) and 3 + 6\/(-4) + (-1040)\/300.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416)\/sqrt(200))\/((sqrt(120)\/sqrt(5))\/sqrt(6)))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 529668121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 941959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1980)\/(-80))\/(-33)*3\/9*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssifbsebeesn. What is prob of sequence sie?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*y - 399*y + 200*y - 39.\nAnswer: -2*y - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2442 = -2*m + 2449, -3*j + 14 = -5*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {r: 4, y: 1, d: 8, q: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 2}. Give prob of sequence jc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 3*t - 8. Let x = -3116 - -3122. Calculate g(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*p + 25 = 9, 0 = -5*p + 10. Let i be 6 - (-3 + w) - 5. Let c(j) = 9*j**2 + 9*j - 1. Let f(v) = -4*v**2 - 4*v + 1. What is i*c(b) - 5*f(b)?\nAnswer: 2*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15127399 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**3 - 17*j**3 + 12*j**3 + 24*j**3 - 18*j**3.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 521654 greater than 521657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = -2976. Let v = 1294 - q. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 93*u - 213 - 38, 5611*u - 15 = 5616*u for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.6 - -6.6. Let y = -153 + 303\/2. Which is the third biggest value? (a) y (b) 2 (c) t (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 8*v + 22. Let z be s(-10). Let q(t) = -t**z - 18*t + 2 - 13*t + 24*t. Calculate q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + d - 160 = 0, 3*p - 2*d + 0 = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5168)\/12)\/(-3*(-8)\/(-36)). Let f = 2509\/4 - i. What is the common denominator of 79\/48 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -1 (c) -0.1 (d) -1\/7 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.209848ml?\nAnswer: 0.000209848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/37))\/k*k**(-6)*k*k\/k**(-15\/2)*k*k\/(k\/(((k*k*(k*k**34*k)\/k)\/k)\/k)*k) assuming k is positive.\nAnswer: k**(2847\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2424 + 0.1576. Let y = -0.08 - -0.11. Let p = -4.97 - y. Which is the biggest value? (a) p (b) 0.01 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10509418 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23436 by 84.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*(-3)\/(-36))\/((-754)\/58)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*m*o + 4*h*m - 2*h*o + 24*h + 4*m*o + 2*m + 218*o + 2 wrt h.\nAnswer: m*o + 4*m - 2*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) + (sqrt(162) + 1 + sqrt(162))*1)**2 - sqrt(162).\nAnswer: 54*sqrt(2) + 1459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*y - 50, -4*r - 5*y + 40 = -y. Suppose 29*z - 310 = -33*z. Solve -n + 2*d - z = 0, -n + r - 18 = -3*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*t**2 + 15948*t - 4715534?\nAnswer: 118*t + 15948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k + 25, -3*k + 5*r = -0*k - 6. Suppose 79 - 65 = k*p. Solve 3*h - 4*h = -p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -178, -161, -118, -37, 94?\n\"Answer: 2*i**3 + i**2 - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 131. Let b = l - 7. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 21 - 10 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -518145 divided by 7\nAnswer: -518145\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diiidiiiidiidiiiii. What is prob of sequence didi?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75.4? (a) 3 (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l - 8. Let m(u) = u - 1. Let r(f) = -3*c(f) + 28*m(f). Let a(o) be the second derivative of o**3\/2 - 3*o**2\/2 + 2*o. What is 6*a(j) - 4*r(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/(-20) + 3)*-26*15\/(-117).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/167910 and 43\/100746?\nAnswer: 503730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o = 4*g - 76, 42*g + 4*o = 45*g - 31 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -48, -1219 in decreasing order.\nAnswer: -3, -48, -1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12 and 79\/5484.\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/24 - d**5\/10 - d**4\/16 + d**3\/6 - 40. Factor q(i).\nAnswer: i**2*(i - 2)*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 0.03 (c) 6 (d) 1\/4 (e) 5.8 (f) -5 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1.2, 0.49?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**9\/60480 - l**8\/2520 + l**7\/5040 - l**6\/360 + 2*l**5\/5 - 5*l**2. Let p(g) be the third derivative of n(g). Determine p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:47 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-415)\/(-270) + (4 + 0 - 13)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 24*((-1)\/(-2))\/(12\/3728)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:33 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 2 - 5 + 7)*(3 - 5 + 3) + 4 - 4 + 2*k + (-1 + 2 + 1)*(0*k - k - k) - 4*k + 2*k + 0*k - 1208 - 653*k + 1208 to s*k + m and give s.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 84*f + 31 = 79*f, -f = -5*k - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0 + 0*h - 1\/240*h**5 - 1\/48*h**4 - 3*h**2 - 1\/24*h**3. Factor c(f).\nAnswer: -(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -84 + -34 + (-32 - -36).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*y + 44, y - 2*y = -5*j + 81. Solve 0 = -6*d + 2*d - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5980 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 77*i - 433. Let z be l(6). Solve 0 = -z*o + 33*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -23) + 32 + -10. Calculate the highest common factor of g and 224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, 5, -5, -4, 1 in descending order.\nAnswer: 5, 1, -4, -5, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 6*k**7\/7 + 4*k**6\/5 - 11*k**5\/5 - 4*k**4\/3 + 8*k**3\/3 + k. Solve h(q) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 127682, 255344, 382976, 510578, 638150, 765692?\n\"Answer: -15*w**2 + 127707*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*z + 4*y, 0 = -6*z + 10*z - 18*y + 124 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 346210 + 85?\nAnswer: 346295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/4 + 5*h**3\/3 + 5*h**2 - 8*h - 2. Let s be n(6). What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 10. Let r be i(5). What is the remainder when (-18)\/(r\/15 + 1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5010 is divided by 1667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2 + 9 + -4. Let d be 0\/k + 2\/9. What is the biggest value in d, -0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = -6*d. Is d equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:56 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -41. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -11 - (203 + -209)) - 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18 and -79\/20835?\nAnswer: 41670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**3 - 2*j**2 + 2*j - 1. Let a be o(1). Find the third derivative of 2*h**2 + 2*h**a - 2*h**6 - 2*h**5 + 0*h**2 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11726 by 2514.\nAnswer: -5863\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(v**2 + 3*v**2 - 2*v**3 + v**3).\nAnswer: -v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2083998 is divided by 2939?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + 4*j + 3. Let m be -105 + 97 + (-10)\/(-2). Determine b(m).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, 0, 5, -409 in ascending order.\nAnswer: -409, -4, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 333 = -3*z, -5*z = -10*s + 6*s - 587. Solve 23*n - 46*n - z = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.231438 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:54 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxx when four letters picked without replacement from {c: 10, x: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 678*z**2 - 31257*z**2 - 5281*z**2 to the form g*z**2 + l*z + f and give g.\nAnswer: -35860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)*-4 - -31. Suppose 2*h = -3*w + 17, d = 5*w + 7*h - 2*h. Solve 3*l + w = -0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1504*l**2 + 20*l - 12. Let p(f) = 602*f**2 + 8*f - 5. Let j(a) = -12*p(a) + 5*r(a). What are the prime factors of j(-1)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in minutes?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886000 is divided by 250.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10*-10.969\nAnswer: -109.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15844442 divided by 17.\nAnswer: 932026","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*s - 28, -4*s - 14 = -3*l + 4*l. Suppose l*r - 9 = -r. What is j in -2*j**r - 435*j + 435*j - 8*j**2 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 2*s**6\/45 + s**5\/30 - s**4\/18 + 2*s + 23. Factor b(q).\nAnswer: 2*q**2*(q + 1)*(2*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(8))**2 + -3 + -2 + (sqrt(2) - (sqrt(6)\/sqrt(3))**2).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215966762 to the power of 1\/2, to the nearest integer?\nAnswer: 14696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let b = 9 + -7. Suppose x - 2*x = -b. What is the remainder when x is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:52 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, w: 6}. Give prob of picking 2 w and 1 a.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26139599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 - 9*m**2 + 4*m**2 + 14*m**2.\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25306655?\nAnswer: 5, 11, 127, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m - 1 - 10*m**2 + 9*m**2 - m + 2*m**2 + 3*m. Suppose -h = -5*n - 57, 0 = 4*n + 5*h - h + 36. What is the tens digit of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y + 5*x, 0 = -3*y - 0*x - 4*x - 2. Which is the third smallest value? (a) -5 (b) 5 (c) -3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 times -170?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -137, -206, -273, -338?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628600707?\nAnswer: 1628600707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaff when four letters picked without replacement from {n: 1, j: 2, a: 7, f: 8}.\nAnswer: 49\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -113, -99, -85?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*t)*(17*t - 4*t**2 + 19*t - 43*t)*(-24 - 6 - 4)*(-1 + 2 + 3).\nAnswer: 1088*t**3 + 1904*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 - -2.3. Suppose 0 = -3*w - w + 2*s + 8, 0 = -2*w - 2*s - 8. What is the fourth smallest value in 5, 4, w, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 + (-4)\/(-2). Let p(v) = 16*v + 4 + v**o - 16 + 15*v**2 + 1. Is p(-13) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -20*v**2 - 35540*v - 35541. Determine q(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:06 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26549050978138 - 4.\nAnswer: 26549050978134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 9. Let q(o) = o - 1. Let s = 304 - 305. Give s*v(w) - 5*q(w).\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/2 > -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/17 + 208*x**4\/17 + 858*x**3\/17 + 648*x**2\/17 = 0. What is x?\nAnswer: -3, -1, 0, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494014151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from eeeveeeeeveeeeveeeev?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 14*i + 20. Let q be s(14). Let u = -17 + q. Let t(h) = 5*h. Let b(n) = -4*n. Calculate u*b(c) + 2*t(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1596\/(-152)*((-768)\/(-9))\/(-4). Suppose 0 = -2*t - 4*c + 68, -2*c + 19 = t - 5*c. What is the highest common factor of u and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 155851843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507791?\nAnswer: 617, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*x**2 - 5239*r - 223999*x**2 with respect to r.\nAnswer: -2*x**2 - 5239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -2 - ((-3)\/(-3) - 1). Let i(x) = -4 - x**q - 2*x + 3*x**3 - x**2 - x**3 + 5*x. Calculate the least common multiple of 18 and i(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6605*d - 6596*d = 18. Solve 0 = 4*m - 6*v + d*v + 32, 0 = 4*m - 2*v + 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 - 5*v + 8. Let h = 33 - 15. Suppose d - 4*d = -h. List the prime factors of j(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2132, 2121, 2100, 2063, 2004, 1917, 1796, 1635?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 632*m + 99856 = 0. What is m?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1297, 4, 0.\nAnswer: 0, 4, 1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2 = 0, -16 - 10 = -2*j - 3*g - 36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2*-1))\/(8\/(-48))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1 + 9 + -1). Sort x, 1, 3, -5 in ascending order.\nAnswer: x, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.59. Let m = -1.99 + k. Let u = -1.6 - m. Which is the biggest value? (a) u (b) 2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*d + 1611 = 0, -1 + 5 = -d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 112, 156, 200, 244?\n\"Answer: 44*a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 6, 1, -37, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9)*r)\/(r*(r**(-15)*r)\/r*r*r)*(r\/r**(1\/2)*r)\/(r**(3\/5)*r) assuming r is positive.\nAnswer: r**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/4 + 7*m**3\/4 + 11*m**2\/4 + 5*m\/4 = 0 for m.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864703271.\nAnswer: 467, 683, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.1 (c) -4\/5 (d) -1\/4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626 = -3*u - y, 4*u + 3*y - 836 = 2*y. Let w = 401 - u. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -3)\/(-1) - -4. Suppose -10*v = -i*v. Let p(m) = m**2 + 2*m + 31. What is the units digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12466000 to the nearest one hundred thousand.\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -14951584.\nAnswer: -74757920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-9 + (0 - -5) + 2 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.017, -8, 2, -5, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3377 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*p - 217*p - 15776 = -129*p + 55*p for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/5 - 1518*r**2\/5 + 45396*r\/5 + 3258968\/5 = 0.\nAnswer: -1546, -34, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 66 = -4*w, 39*w - 37*w - 42 = 5*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*g**2 + g**3 - 243*g**2 + 3*g + 214*g**2 + 17 as r*g + b*g**3 + p + c*g**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/(6\/(12\/11))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*c**5 - 28*c**5 - 30*c**5 + (-c**5 + 0*c**4 + 0*c**4)*(-3 - 1 + 6).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*d - 844922 - 2965426 = 0, 3*i - 2857775 = 2*d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48556922 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/24*255\/5*((-2888)\/19)\/(-38).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101 - 125 - 23 + 40)*(7 - 3*v**3 - 14 - 20) to p*v**3 + i*v**2 + r*v + x and give p.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61.92 - 62.12. What is the third smallest value in -4\/7, b, 14\/19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 - 39641108*b\/7 - 392854360866916\/7.\nAnswer: -(b + 19820554)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*o**2 - 3*o + o + 0*o**2 + 3*o**2 to the form p + f*o + n*o**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 + 286*p + 11. Let u(x) = -3*x**2 + 191*x + 8. Calculate -7*u(s) + 5*z(s).\nAnswer: s**2 + 93*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/26 - 6636\/(-39) - -5. Let a = 173 - g. Is -30\/23 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50450821699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**3 - n - 1. Let r be h(-1). Let b(u) = 3*u**2 + 1. Let l(a) = -2 - 12*a**2 - 4*a**2 - 2. Let m(d) = r*b(d) + 2*l(d). Differentiate m(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335423031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t - 1. Let d be (-148 + 149)\/(1\/2). Let l(v) = 3*v + 1. Calculate d*a(y) - l(y).\nAnswer: -2*y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -1435410.183416?\nAnswer: 1435409.183416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/63 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6798 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*n = 21, 3*k + 0*n + 7 = -n. Let c = 31 - 18. Let y = c + k. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = u. Suppose -665*i + 669*i - 13 = -5*y, i = -3*y + 12. Solve u*h = y - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (-1)\/(-2) + (-1150)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d (base 16) to base 12.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 8*d + 9. Let r be b(9). Let o(c) be the first derivative of 6 - 1\/3*c**3 + r*c**2 + 0*c. Let x(k) = -5*k. Give x(o(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7)\/(x**(-2\/17)\/x))\/(x\/(x*x**(-3))*x)**45)**(3\/10) assuming x is positive.\nAnswer: x**(-6381\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.079 - 0.021. What is the closest to t in -6, -52, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 6)*(28*m**3 + 27*m**3 - 12*m**3) - 3*m**3 + 0*m**3 + 4*m**3.\nAnswer: 345*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2 - 12*s + 3. Let r(d) = d**2 - d. Let v(g) = j(g) - 6*r(g). What is v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 + d. Let x(c) = -6*c**3 + 5*c**2 - 6*c. Suppose 27*h + 23 = -4. Give h*x(w) - 5*a(w).\nAnswer: w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) - (0 + sqrt(1584) + 3 - sqrt(1584))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 11*y**2 + 9*y + 13. Suppose -c + w = 6*w - 10, -50 = -5*c - 5*w. Let d be f(c). What is the third biggest value in 0, d, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 5. Let q = -9 - a. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 7. Suppose -v - 5*l - 17 = 2*v, -l = -5*v - 19. Let z = -13 - -8. Let u(k) = k + 0 + 4*k - 5 - 1. Determine v*t(f) + z*u(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6700.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 4*h**2 - h + 6. Let k be s(4). Let d be (6\/9)\/(k\/(-3)). Calculate the common denominator of -81\/4 and (-534)\/48 + 0 + d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 21, 10, -1, 3 in decreasing order.\nAnswer: 29, 21, 10, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 37. Which is the nearest to m? (a) 0.3 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-771)\/(-9) + 3\/9. Let c = 8 + a. Let d = c + -61. Calculate the remainder when 96 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:36 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 3*g + 2, -2*o + 2 = -5*g. Let j be 150\/12 + 3\/g. Suppose 90 = j*s - 6*s. What is the highest common divisor of 198 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 2*x - 6. Let g be y(4). Let n = g + 57. Is n a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 b when three letters picked without replacement from bctmtcqcmcqt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*b + b + 16 = 0, -5*l - 8 = 2*b. Suppose l = -49*c + 50*c - 452. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 + 0)*2\/(-5). Let k be (24\/(-32))\/((-2)\/t). Suppose -k*a + 4440 = a. Round a to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 321350, 321345, 321340, 321335, 321330?\n\"Answer: -5*j + 321355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5\/2)*30\/(-27)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 - -310. What is the units digit of 2\/7 + k\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = i - 85. Let c = -27 + 26. Sort c, -6, i in increasing order.\nAnswer: -6, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-30 - -21). Suppose -3*t = -5*t - 4*k - 30, -75 = 5*t - 2*k. Let j = 10 + t. Which is greater: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1648.09687 and 0.\nAnswer: 1648.09687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((2\/(-5))\/(4\/((-40)\/6))). Solve q*x = 8*x + 3*w - 10, -x = 4*w - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (15 + 1) - (4 + -5 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 42.4. Let f = c - 43.9. Let b = f - -2. Is b bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 62. Let t(a) = -s + 8*a**3 + 1142*a**2 - 5*a - 1142*a**2. Let o(r) = 52*r**3 - 32*r - 32. Calculate -5*o(n) + 32*t(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 439574, 439561, 439548, 439535?\n\"Answer: -13*x + 439587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72170740.\nAnswer: 2, 5, 19, 257, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -60, -42, -4, 60, 156?\n\"Answer: d**3 + d**2 - 6*d - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 91630724 - 91630724.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 d when four letters picked without replacement from {d: 3, m: 6, g: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.4, 77?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111110101001011 (base 2) to base 5.\nAnswer: -22232130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -74. Solve -3*c + o = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, t: 6, s: 3}. Give prob of sequence ht.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:14 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-eight fifths of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95728459 - -67085459. Round f to the nearest one hundred thousand.\nAnswer: -28600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deddhhddtdth. Give prob of sequence ht.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*r + 378, 2*l = -l - 2*r + 374. What are the prime factors of l?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 10*y**3 - 49\/8*y**5 + 50*y + 48 - 35\/8*y**4 - 5*y**2. Let i(t) be the first derivative of u(t). Factor i(h).\nAnswer: -5*(h + 1)*(7*h - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:11 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-440)\/(-8250))\/(3 + (-13)\/5). Which is the fourth smallest value? (a) -1 (b) 5 (c) 2 (d) 0.4 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*x - 941 - 948 + 1887 - 2893*x)*(-x**2 + 5*x**2 - 5*x**2).\nAnswer: 2627*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and -103\/33194?\nAnswer: 199164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 966 or 973?\nAnswer: 966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130*(-27)\/(-42) - 4 - (32204\/679)\/(-83).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 10.3 (b) 4 (c) -9 (d) -5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803*u - 69970*u**2 + 69965*u**2 - 803*u + 10.\nAnswer: -5*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18991 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(252) + (sqrt(252) - (1 + sqrt(252))*-4)**2.\nAnswer: 246*sqrt(7) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.3. Let p be (-1)\/((24\/18)\/(12\/9)). What is the biggest value in 0.4, n, p, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 40461526 - 40461526 + 5419*w**2 in the form x + m*w + h*w**2 and give h.\nAnswer: 5419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wklk when four letters picked without replacement from {k: 4, w: 6, l: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21679654 by -274426.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -94, 0 in descending order.\nAnswer: 0, -0.2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r. Let a(p) = -20*p**2 + 8*p - 8. Let m be (4 + -1)*8\/(-3). Let k(z) = 13*z**2 - 5*z + 5. Let i(j) = m*k(j) - 5*a(j). Determine v(i(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((90 - 65) + -4 + 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1762 - -1772 - (-44 + -3 + 0\/(-3)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 6, v: 9, e: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -120609a48 - 1?\nAnswer: -120609a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 53*m + 2. Let z(o) = -55*o - 3. Give 4*i(c) + 3*z(c).\nAnswer: 47*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -15. Sort -3, h, 5 in decreasing order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*u - 8, -18 = -5*o - u - 4. Solve -3*x = o*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -14b2abf2?\nAnswer: -14b2abef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -118037 take away -0.01?\nAnswer: -118036.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 850031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5 + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**4 - 1. Let j(s) = -25*s**4 - 29*s + 6. Let b(f) = 6*d(f) + j(f). What is the second derivative of b(p) wrt p?\nAnswer: -372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 + -240.6. Let t(i) = i**3 + 5*i**2 + 12*i. Let z be t(-4). What is the closest to -0.1 in z, d, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84699 and 753.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(192)\/sqrt(12))*-5)\/(-3*sqrt(320)*2 + sqrt(320)*1*1).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271\/40 + -32\/5. Let c = 0.31 + -3.31. What is the second smallest value in j, c, 22?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -4. Let t be (-6)\/(-4)*52\/117 + (-7)\/(-3). Solve f + t*f + g = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by 3?\nAnswer: -440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 3. Let b = 11 - 8. What is the smallest common multiple of b and o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = 2*p + 242, -p - 640 + 642 = l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 + 8 - 5 - 6*z**2 - 1.\nAnswer: -6*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**4 - 1\/20*w**5 - 3*w + 0 + w**2 + 0*w**3. Differentiate s(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) -12\/29 (c) 0.05 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/10 + 9*d**2\/2 - 23*d\/5 = 0?\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -342514 (base 7) to base 14\nAnswer: -1830b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3673, 3671, 3669, 3667?\n\"Answer: -2*o + 3675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/148038 and 39\/9779.\nAnswer: 131605782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**2*z**3 + 197*v**2 - 403*v*z**3 wrt z.\nAnswer: -3*v**2*z**2 - 1209*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 74, -0.7, 2\/11?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q - 2. Let x(o) = 2180*o - 10. Calculate 4*i(j) - x(j).\nAnswer: -2200*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887118?\nAnswer: 2, 19, 53, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 36. Let m = j + -23. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -9\/8, 0.5, -3\/7, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*m = 11793, 4*m = -12*v + 7*v + 14743. Is 109 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47920080 and 32240?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167305500 rounded to the nearest one million?\nAnswer: 3167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45153.\nAnswer: 3, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9635 + -1a?\nAnswer: -f964f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1982\/11 - -180. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -153*m + 22. Suppose 2*z + 5*p - 4 = -24, 5*z + 3*p = -31. List the prime factors of i(z).\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a microgram in nanograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2840988 divided by 6.\nAnswer: 473498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/9 + 2*c**3\/9 - 16*c**2\/9 - 8*c\/3 = 0. Calculate c.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4362 divide 1378983599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111120120022001 + -2112?\nAnswer: -111120120101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5)*2*5. Let x be (10 + -1)\/(-4 - -5). Let j(i) = 2*i - 20. Let t be j(x). Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -9*f + 73. Suppose -4*g + 6 + f = 0. Let a = 27 - 16. Calculate the remainder when a is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ardrrrd. Give prob of picking 1 a and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1562573 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d - 12 + 122. Let k be 2\/4 - (-309)\/(-2). What is the remainder when d is divided by (k\/88)\/(1\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577244504 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(52) - (sqrt(13) - (0 + sqrt(13) + 5))).\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000351470744 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -883*t - 53. Let z be u(-10). Suppose 2*n + 4*s + s - z = 0, -4*n = 4*s - 17560. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4\/9)\/j*j)**15)**(-5\/3))**(-10\/13) assuming j is positive.\nAnswer: j**(-1000\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*n**5 + 6*n - 26 wrt n?\nAnswer: 2740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 15. Let j(u) = 2*u + l + 70*u**2 + 1 - 5 + 0. What are the prime factors of j(1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3 - 3*a + 2 - 1 + a**2. Calculate the least common multiple of c(5) and (-248)\/(-18) - 4\/(-18).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10543 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39254, -78517, -117780, -157043, -196306, -235569?\n\"Answer: -39263*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 15) + 8 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-114))\/(3705\/(-2964)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 5 - 5)*((-2 - 2 + 5)*(-2*z + 0*z + z) + 149*z + 140*z + 224*z).\nAnswer: -1024*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29 - 30*k**2 - 58*k - 5*k**3 - 11 - 59*k + 57*k.\nAnswer: -5*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3*a - 3*a + 15)*(3 + 4 - 2) in the form i*a + g and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1400115350 to the nearest 100000.\nAnswer: -1400100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 26 = 5*l, -6 = -15*x + 14*x + l. Let n = -2 + 1.1. What is the biggest value in x, -0.2, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27d (base 16) to base 3.\nAnswer: -212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10504 - 1?\nAnswer: -10505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103122 - 20?\nAnswer: 2103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107580 and 3840.\nAnswer: 6885120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8047 = -4*v, 4*m + 4028 = 2*v + 8*m. Suppose -491 = -7*w + v. What are the prime factors of w?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i + 9. Let m be (-104)\/(-15) + (-1)\/(-15). What is l(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39214\/(-245) - 18\/(-315). Is s >= -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from wmmllmo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 10, o: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 22*t**2 - 377*t - 21. Determine p(15).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79558170*q**4 - q**3 + 9655929*q - 10 wrt q.\nAnswer: 954698040*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c)*(18*c**2 - c + c**3 - 18*c**2).\nAnswer: -c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2825 is divided by 860.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 4 + 6 + 0*c + 6043*c**3.\nAnswer: 6043*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*x + l, 4*x - 2*l - 2 = 2*x. Suppose -x*k + 1 + 14 = 0. Suppose -2*i = -k*i + 45. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 2 + -3 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011121120210 (base 3) to base 16.\nAnswer: 19b699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1453.6, -0.5, 4\/11, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16737*o**3 - 3852858*o**2?\nAnswer: -100422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9c4b0 (base 13) to base 12\nAnswer: -1185a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195048 and 5418.\nAnswer: 195048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -12*a - 248. Let s = -88 - a. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 159. Suppose 3 = 4*u - n. Let j = u - 17. Solve v + 14 = 4*a, -1 - j = -v - 2*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/7 - 156\/(-126)) + 0. Let u(x) = -x**2 + 17*x - 15. Let z be u(16). Which is the nearest to 0.2? (a) -5 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-136)\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 324, 330, 336, 342, 348?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 + 267761?\nAnswer: 267653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 36504207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 4*g - 1. Let n(l) = 3*l**2 + 3*l + 1. Let p(u) = 3*n(u) + 2*x(u). Determine p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -352*p - 158. Let t be b(24). What is the units digit of (-228)\/(-399) + t\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*m - 5*m - 249, m = 3*f - 151. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*n - 2*n. Does n = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s + 273. Give n(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -123441c - 6?\nAnswer: -1234424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-128)\/182 - (84\/39 - 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20499849, -81999403, -184498659, -327997617?\n\"Answer: -20499851*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/((-6)\/32) - 1235\/39.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 41, -0.2 in decreasing order.\nAnswer: 41, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45330054 (base 6) to base 16\nAnswer: 150fb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w. Suppose 3*t + t - 608 = w. Calculate the highest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -225*o**5 + 12835*o**4 + 54105*o**3 + 12645*o**2 - 83020*o + 3660 = 0.\nAnswer: -3, -2, 2\/45, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 - 9*q - 68. Determine n(-6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 - -329. Which is bigger: h or -15\/13?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 - v**5\/6 + 7*v**4\/24 - 8*v**3\/3 - 27*v**2. What is the remainder when f(10) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 231.19?\nAnswer: 5086.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*k - o, -k + 943*o + 13 = 939*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from shssusushssssus?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by 7196?\nAnswer: 153\/7196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16121)\/(-235) - 3\/5 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, 1 m, and 1 h when four letters picked without replacement from qrhumrrmmxhmxmr?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.1 + -37.9. Let s = 47 + a. Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 1. Suppose 1 - 6 = -5*c. Let a be r(c). Solve -3 = -q + a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 5*t - 65 = 0, -2*t + 160 = 5*w. Suppose 1 - 2 = 3*m - 2*a, -5 = 5*a. Let i = w - m. Solve 0 = -5*j + 4*y + i, 18 = 2*j - 5*y - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99028522 is divided by 890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/22)\/3 - (-169)\/143\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -581.8 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q**2 - 8*q - 4. Let v(j) = -2 - 6*j - 3*j**2 + 0*j**2 + 2*j - 3*j**2. Let r(n) = -4*s(n) + 7*v(n). Factor r(u).\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (279\/1)\/((2 + -5)\/(-12 + 9)). What is the greatest common divisor of z and 2077?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 16*l + 23. Let i(k) = -5*k**2 - 65*k + 87. Let w(j) = -9*d(j) + 2*i(j). Give w(14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:07 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 17960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296 + 298. Suppose -z*v = -t + 2, 0 = t - 3*v - 0 - 3. Solve m + t*m - 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -8. Suppose -2*p - 21 + c = 2*w, -53 = 3*w - 5*p. Let o = w - -29. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/20*(-8)\/(120\/(-25))*-3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/5, 44.5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-26)\/13 + (-1)\/3). Let w = 17 - d. What is the tens digit of ((-256)\/w)\/((-4)\/66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60177858 and 1482.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 4.7. Let j = 1.66 - 6.66. Let u = 2224 - 2221. Which is the closest to q? (a) 0.1 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122)\/(-140) + (0 - (-12)\/(-15)))*-10?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6748 (base 16) in base 11?\nAnswer: 18957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 2961153?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 0*n + 33\/8*n**3 + 3\/2*n**5 - 39\/8*n**4 + 0 - 3\/4*n**2 = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 1:38 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 - (-216)\/60. What is the third derivative of -3*m**2 + 16 - 6 - 254*m**4 - 281*m**t + 583*m**4 wrt m?\nAnswer: 1152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88.1 - -88. What is the second biggest value in 5\/2, -0.4, -15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-3 + 2 - 2 + (-8 - 4 + 2)*(2 - 4 + 3))*(-3*o + 0*o + 0*o) in the form g*o + l and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n + 5. Let i(k) be the second derivative of k**3\/6 + k**2\/2 - 4*k - 508. Calculate -2*b(o) + 10*i(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 8059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 83*d**2 - 72*d**2 as h + l*d**2 + w*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -840*h - 838. What is r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6510\/2827 or 3?\nAnswer: 6510\/2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - k - 2 + 2*k**2 + 12*k**2 + 0*k + 6*k**2 to w + q*k**2 + l*k and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 5:16 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12555*j**3 + 138296 + 6272*j**3 + 6281*j**3.\nAnswer: -2*j**3 + 138296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-406)\/(-141))\/((-4)\/1674). Let s = x + 1205. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8)\/(((-195)\/50)\/39)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 39 = 435. Let w = k + 205. What is w rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*f + 14. Suppose 3*y - 713 - 1207 = -4*z, y + f*z - 635 = 0. Is (6 - 7) + -2 + (y - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18 - -1 - (-9 + -6 + 13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930103?\nAnswer: 113, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/952 and 39\/80.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49287 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 10 - 6 = 0. Let b(v) = -v + 14. Calculate the remainder when 28 is divided by b(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v - 5*t, t = -v + 6*t + 15. Suppose v = -3*b - 0 + 15. Suppose b*l = -0*l + 3*z, -z = -5. Solve 5*h - 5*f = -35, -f + 2*f = l*h + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2 = -6*n. Let y = -9 - 0. Let u = y + 13. Solve m + n = u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -44. Calculate the remainder when k is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/(1\/(-2) + 1) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/5, -5.2, 1\/4, 1\/2 in increasing order.\nAnswer: -5.2, 1\/4, 1\/2, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 less than or equal to 3209459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*j - 63*j + 43*j)*(-117*j**2 + 142*j**2 + 43*j**2) - 2*j**3 + 5*j**3 - 5*j**3 + 5*j**2 - j**3 - 5*j**2 + (3*j + 0*j - j)*(-j - 2*j**2 + j).\nAnswer: 1761*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/251848 and -13\/1762936.\nAnswer: 1762936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20342.\nAnswer: 2, 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 36 = 4*m, -b + 4*b - 42 = 2*m. Let j = -7 - -11. What is the greatest common divisor of b and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 10*g**2 + 8*g - 10. What is p(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) 3\/7 (d) -1 (e) 3\/4 (f) 2189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**3 + 30876670611*t**2 - 30876670611*t**2.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*k - 1932 = 0, -4*c + 2*k + 2584 = 6*k. Let j = -446 + c. Suppose 2*s - 252 = -4*d + 548, -d + s + j = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34039794 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-1)*n)*n*n**(-10))\/(n**(-18)\/(n**(4\/7)*n*n)) assuming n is positive.\nAnswer: n**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11389.3 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/7 - 8*j**4\/7 - 34*j**3\/7 + 120*j**2\/7 = 0.\nAnswer: -4, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 115\/(-100)*-2 - 1. Let h = i + -127\/90. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14513515 (base 10) to base 7\nAnswer: -234235312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1768128*u**3 - 148*u**2 - 15468 wrt u?\nAnswer: 10608768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/2 + 10918277*r - 21836553\/2 = 0. What is r?\nAnswer: 1, 21836553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 252, 228, 180, 96, -36, -228?\n\"Answer: -2*z**3 - 10*z + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6629 bigger than -6616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262630000 rounded to the nearest 1000000?\nAnswer: -1263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 2*l - 4)*(60*l**4 - 4*l**4 + 2*l**3 + 11*l**4) - 4*l**5 - 3*l**5 - 2*l**5.\nAnswer: 125*l**5 + 138*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/(q**(12\/11)\/q)*q)*q)\/q**(-3\/4) assuming q is positive.\nAnswer: q**(-51\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21282\/(-30) - ((-20)\/30 - (-4)\/15). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104205 (base 6) in base 2?\nAnswer: 1101100001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3295 (b) 10\/3 (c) -10.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/9))**2 assuming l is positive.\nAnswer: l**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 46.8. Let z = -3.5 - d. What is the biggest value in 4, -1\/2, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111090 and 7.\nAnswer: 111090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 45*i - 33 + 79 = 0. Which is smaller: 34\/283 or i?\nAnswer: 34\/283","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0\/6 + 0. Suppose 5*y - 155 = -q*v, -5*v + 136 + 77 = -3*y. Calculate the highest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 48 = -3520*p + 3516*p, p - 19 = -f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 - w + 3. Let u be s(4). Suppose 4*t = -u - 1. Let h be (0 + 2)*(-5)\/2. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 10*d + 51. Determine b(-21).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let z be x(-2). What is the biggest value in z, -4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -377*c - 20041. Calculate h(-53).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23298181*l**2 - 515606715*l wrt l.\nAnswer: -46596362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 2*t + 1. Let p be a(3). Let o be 5*1*p\/(-2). Suppose 0 = o*y - 25, 2*y - 16 = -h - 0*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:02 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 16*b - 13*b + 44, 18 = 3*h + b. Solve -23 + h = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001087303 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.83. Let i = -1981\/7892 + 2\/1973. Which is the second biggest value? (a) i (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a + 24. Let p be v(-3). Find the third derivative of 6*i**5 - 4*i**5 - 17*i**3 + 55*i**2 + 0*i**5 - 2*i**p wrt i.\nAnswer: 120*i**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, e: 3}. What is prob of picking 1 e and 2 l?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -39, -82, -143, -222?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 3, u: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 + 304*l - 11029. Determine s(-102).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-11))\/o**7*(o**(-1\/2))**(-1\/33) assuming o is positive.\nAnswer: o**(397\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 6*r**2 + 7*r - 9. Let p be i(5). Let k = 77 + p. Solve -k*c + 1 + 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492882042?\nAnswer: 2, 3, 23, 3571609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 10. Let j(i) = -i - 5. Let w = -171 - -176. What is w*j(v) + 3*m(v)?\nAnswer: v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3530.56 plus 905?\nAnswer: -2625.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4103 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -581 and -0.04883 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21295 - -21290. What is the closest to 4\/13 in -4, r, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 22. Let k(w) = -3*w**2 + 4*w**2 + 26*w - 6 - 6. Let g be k(-27). List the prime factors of j(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(21\/8)\/((t**(-4\/21)\/t)\/t)*t**22*t**7 assuming t is positive.\nAnswer: t**(5681\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j - 531 + 471 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-16)\/k)\/k)**(3\/4) assuming k is positive.\nAnswer: k**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 4. Let h be (-7)\/y + 2\/(-4). Which is smaller: 4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291.\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 25)*(4 - 6 + 5)*(5*j + j - 3*j + (-2 + 2 - j)*(1 - 2 + 3)).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15444789.\nAnswer: 3, 17, 31, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:27 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 28. Let m be q(12). Let t be 2*m\/46*(-1)\/2. Put 0.4, -2, -0.3, t in ascending order.\nAnswer: -2, -0.3, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/7 (b) 224 (c) -292 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4936857201.\nAnswer: 3, 37, 269, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 3 - 1 + 4. Let r(a) be the first derivative of -2\/3*a**3 - 3 + 0*a + 0*a**2. Calculate r(n(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/11 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26272116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3736\/57 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - h - 7 = 0, -2*j - 49*h + 44*h + 33 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1 - (0 + 51\/(-9)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-37)*o*o*(o**17*o*o)\/o)\/((o\/(o*o*o*o\/((o*o*o**(15\/8)*o)\/o)*o))\/o**(-2\/73)))**(-41) assuming o is positive.\nAnswer: o**(404711\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0*m**5 + 0*m**2 + 0*m**3 + 1\/10*m**6 + 4*m + 0 - 1\/2*m**4. Find the third derivative of f(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 + 8*c**3\/3 + 12*c**2 + 2*c. Let h = 23 + -17. Calculate the smallest common multiple of h and u(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 - 8*t**2 + 1 + 14*t**2 - 2*t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-15)*16*3\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/7))\/c)**11)**7*(c**(-2\/7)*c\/((c*c**(1\/9)*c)\/c*c))**(-4\/13) assuming c is positive.\nAnswer: c**(-17666\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230 and 310040?\nAnswer: 310040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(0 + 1) + 2. Suppose 4*j - t - 18 = x, -j - 3*j = 4*t - 8. Let u be (-5 + (j - 0))*-26. What is the greatest common divisor of 52 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:13 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -329, -786, -1229, -1658?\n\"Answer: 7*g**2 - 478*g + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/9 - 155908*l**2 + 18240898*l\/9 = 0. Calculate l.\nAnswer: 0, 13, 701573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 58, 2\/27, -7, -1\/2, -4\/3, 15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2771405 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - 2 + 2)*(115 - 49 + 11).\nAnswer: -77*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177493 to the power of 1\/2, to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-2)\/1 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 21*m**2 + 3*m + 2. Let k(q) = -20*q**2 - 3*q - 1. Let o(t) = -3*h(t) - 4*k(t). Calculate the remainder when o(-3) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:27 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let t(z) be the third derivative of z**4\/8 + 3*z**2 + 2. Determine t(p(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-544)\/(-7) + 2\/7. Suppose -5*p = 3*a - t, 0 = -5*p + 2*a + 14 + 84. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-27) + 13128\/(-27). Let i = -35 - b. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 3bb20dc?\nAnswer: -3bb2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.499 - 0.07?\nAnswer: -0.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 781 = 761. Suppose 5*s + 41 = 3*x, 0*s - 3*s = -5*x + 15. Let g = 13 + s. Solve h - 4 = -a, g*k - 3 = -h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6) + -2)*12\/15. Let q be 375 - j\/((-12)\/(-18)). Calculate the highest common factor of 54 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4499116 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(2 - 1 + 1)*(-17 + 17 + 10*i) - 68 - 254*i + 68.\nAnswer: -294*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + 0.3. Let z = 77\/2 - 235\/6. Which is the closest to z? (a) x (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 - i. Let h be n(2). Suppose -4*l = -14 - h. Suppose y + 5*o = -0*y + 9, -25 = -5*y - 5*o. Solve 3*w + 13 = u, y*u + l = u - w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -30*f**2. Let m(q) = 29*q**2. Give m(g(d)).\nAnswer: 26100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340605.1149995 - 340605. Let g = 0.115 - i. What is g rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:05 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 1:45 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h. Suppose -3*w + 808 = 5*w. Let n(q) = w - 13*q - 101. Determine u(n(a)).\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 29*n - 10. Which is the closest to n? (a) 4 (b) -2\/7 (c) -40 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -463083, -926173, -1389265, -1852359?\n\"Answer: -u**2 - 463087*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 12*y - 271 = 504. What is the remainder when y is divided by -14*2\/(-16)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 1\/6*n**5 + n**4 - 23\/3*n**3 - 25\/2*n + 11\/3 + 46\/3*n**2 = 0.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsbxsof. What is prob of picking 1 f, 1 b, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -39. Let b be -2*((-100)\/u)\/5. Let a = 3.94 + 0.06. What is the third smallest value in 3\/7, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/17061309 and 169\/5883210.\nAnswer: 170613090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n*n)**(-1\/78)*(n\/(n**(-2\/5)\/n))**42 assuming n is positive.\nAnswer: n**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17946039 to the power of 1\/2, to the nearest integer?\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*p - 410*p + 390 + 2030 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9345058 years in decades?\nAnswer: 0.09345058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2445\/182 + -6\/91. Which is the fourth smallest value? (a) 2\/15 (b) 1\/4 (c) f (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/9, 5.3, 2\/5 in descending order.\nAnswer: 5.3, 2\/5, 1\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10376200 + 1815849.\nAnswer: -8560351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41441 rounded to two decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7258 is divided by 3553?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -8. Let l(a) = -2*a + 1. Let f(t) be the third derivative of t**4\/12 - t**3\/6 - 6*t**2 + 263. Suppose -p + 24 = -5*p. Give b*l(o) + p*f(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17530*p + 388112 + 844744 + 266671 = 27007 for p.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9173 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 972 + -481. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 10*f + 8. Let s be x(7). Let p = s - 36. Solve -5*c + 7 + 8 = p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -13 + 8 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2 + 2 + sqrt(19) + 0 + -3*sqrt(19) + sqrt(19))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njoowto. What is prob of sequence jn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63548861?\nAnswer: 63548861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166161737*q**3*r - 385436582*q**3 wrt r.\nAnswer: 166161737*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1900 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*k + 318*k + 210 + 86 to the form u*k + j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/5)\/a)\/((a*a**(3\/2)*a)\/a*a))\/(a*a*a**(-1)*a)**39)**(-19) assuming a is positive.\nAnswer: a**(15751\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -32*t + 5. Is r(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 22*c - 36. What is the units digit of q(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((2996\/168)\/107)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15\/3*(-3)\/((-60)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:08 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 4:26 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000327384 to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbhjjjjhx. What is prob of sequence jxhb?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 31*o = -53*o + 117 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 81a17?\nAnswer: 81a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:36 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**3 + 3*x**2 + 6*x + 8. Calculate p(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 - 11*x**2 - 192*x**2.\nAnswer: -203*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 84112*v + 1683040.\nAnswer: -2*(v - 42076)*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 77, 128, 191, 266, 353?\n\"Answer: 6*k**2 + 21*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + 2*f**2 + 2*f + 1. Suppose 4*a - w - 2 = -1, 0 = 3*a - 2*w - 7. What is l(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(2 + sqrt(128)*1*-6)*2*-6*6)**2.\nAnswer: -8957952*sqrt(2) + 215177472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 473\/5 in increasing order.\nAnswer: -0.3, 0.5, 473\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 49, -1, 4 in decreasing order.\nAnswer: 49, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from eevrnhnr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 3*n**4\/4 - n**3\/3 - 3*n**2\/2 + 2*n. List the prime factors of f(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39997.\nAnswer: 23, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-6)\/(-18)*2)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9704, 19525, 29350, 39179?\n\"Answer: 2*h**2 + 9815*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-32)*(-1)\/(-2). Let z = 3 - 2.8. Sort 2\/7, z, u in descending order.\nAnswer: 2\/7, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-4)\/6*(-6296)\/(-787000)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 5*y)*(14 + 15 + 2)*(5 + 14 - 5).\nAnswer: 1302*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43588, 348401, 1175812, 2787139, 5443700?\nAnswer: 9406813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*1 - -4 - -11. Let f(n) = -n**2 + 14*n - 7. What is the units digit of f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 218, 222?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 3598 = -18*q. Calculate the remainder when q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 26 - 32 = 0. Factor 15 - 120*f**3 + 13*f - 5*f**4 + 7*f + 100*f**y - 10*f**2.\nAnswer: -5*(f - 1)*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -7\/10*c**6 - 9\/20*c**5 + 0*c**2 + 7\/4*c**4 + 5\/14*c**7 + 0 - c**3 + c. Solve d(y) = 0 for y.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/10 - (-62)\/(-3) and 11\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 562 (b) 3\/16 (c) 5\/8 (d) 1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m - 3*j + 24, 4*j + 31 = 5*m. Let v = -2 + m. Suppose v*p + 6 - 40 = -f, 5*f - 60 = -3*p. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m**2 + 2*m)*(-3 + 32 + 39).\nAnswer: -136*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkdkk. What is prob of picking 1 d and 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let k = d - 1. Suppose k = -a + 3*a - 178. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/40779 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 8*l - 40*l - 80 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25 - 1)\/(126\/4). Let g be (-88 - -88)*3\/(-12 - -6). Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -34 + -1 + 19 - (-1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from {s: 3, o: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Suppose -3*q + d + 5 = 0, 0 = q + q - u*d - 1. Sort -1, q, -4.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1\/5 (c) 1\/4 (d) -15\/466 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j**3 - 3*j**3 + 0 - 2*j**2 + 1 + 2 as h*j + r + o*j**3 + m*j**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2418 - -4284. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64778 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 + 5*f + 6. Let b be m(6). Let x(o) = o**3 - 18. Calculate x(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 9*k - 15.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 31. Suppose a = w - v - 10, 2*w - v = 24. Calculate the greatest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen ninths of a week in minutes?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 - 1.7. Let o = 0.1 + -0.2. Which is the third biggest value? (a) 1 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 + 853*o**4 - 5065*o**3 - 14477*o**2 + 66122*o - 47432 = 0. What is o?\nAnswer: -4, 1, 2, 7, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 37 = p - 0, 5*k - 3*p + 29 = 0. Let i = 13 + k. Solve -s = 2*s - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-55 - -47 - (0 + 12))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/40*-6*2\/6\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 354079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -360954 divided by -40106\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7889*j - 252453. Give s(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.729984 to 2 dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060, -1349, -1834, -2515, -3392, -4465, -5734?\nAnswer: -7199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -34*u**2 - 37*u + 6. Let s(l) = -9*l**2 + 1. Give d(a) - 7*s(a).\nAnswer: 29*a**2 - 37*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 28*g + 5. Let r(i) = 11*i + 2. Give 11*r(v) - 4*t(v).\nAnswer: 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 156, 164, 172, 180, 188?\n\"Answer: 8*f + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 185110 and 7785.\nAnswer: 1665990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66343892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*y + 24*y - 1032 = 2043 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*(-2486)\/(-2712). Which is bigger: d or -128?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**2 + 117*d**2 - 21*d**2)*(d**3 - d**2 + d**2)*(0 + 1 + 0).\nAnswer: 89*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -283.\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + b - 53 = 0, 0 = 5*y - 2*b - 2*b - 82. Let w be (-21)\/y - 54\/4. Let o = 54 + w. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/15427 and -5\/11.\nAnswer: 169697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 2761*g - 15. Let a(m) = 3*m**2. Determine k(a(l)).\nAnswer: -9*l**4 + 8283*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334 + 102. Let z = m + -167. What are the prime factors of z?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -44?\nAnswer: 3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 58 = -788*m + 793*m, 85 = 5*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-28 + 0 + 1)\/(1\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2*b - 1. Let g be k(-5). Let q = g - -31. Suppose 104 = 9*y - 5*y. What is the greatest common divisor of y and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -7172599\nAnswer: -1\/7172599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 60, -4, 1, 4 in descending order.\nAnswer: 60, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 6:17 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 3*f**3 - f**3)*(-243 + 5*f**2 + 243) + f**5 - 6*f**5 + 3*f**5.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18501\/8 - -2305. What is the common denominator of (3 + -5)*(-237)\/72 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -u - 0*u, 4*i + 6 = -2*u. Let s = u - -44. Does 14 divide s + (-1*6)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2333499, 2333498, 2333497, 2333496, 2333495, 2333494?\nAnswer: 2333493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -11397.51.\nAnswer: -4559.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**(3\/8))**(-35) assuming p is positive.\nAnswer: p**(-105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, 874, -2\/3 in ascending order.\nAnswer: -2\/3, -0.1, 0.2, 874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 4, -16857997.\nAnswer: -16857997, -0.3, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 277184387491812.\nAnswer: 277184387491809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:35 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 - 2*p. Suppose 4*i + 55 = 3*d + 222, 2*d = i - 103. Let u = 35 + d. Let v(w) = 4*w**3 + 10*w**2 + 7*w. Give u*j(x) - 4*v(x).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22649564 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 667\/1221 - -10\/111. Let t = d + -79\/55. Suppose 4*n = 4*k, 0 = -n + 4*k + 4 - 16. Which is the biggest value? (a) n (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 211*q**2*r**2 + 76*q**2 + 521*q*r**2 - q - 1 wrt r.\nAnswer: 422*q**2*r + 1042*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.0758 nanometers in meters?\nAnswer: 0.0000005890758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.1. Let p = 0.01 + -0.01. Sort n, p, -6 in increasing order.\nAnswer: -6, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-248)\/12*3\/4*-2. Differentiate 11*w + o + 8*w**2 + 3*w + 6*w**2 + 4 - 4*w with respect to w.\nAnswer: 28*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**3\/6 + u. Let l(r) = 4*r**2 - 12*r**2 + 0*r**2. Give l(k(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12042*j - 30368 + 60718 - 30352 to the form h + p*j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 - 20*y - 66. Let m be k(-5). What is the highest common divisor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1537957063 + -161.\nAnswer: -161.1537957063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -2 + (-5*sqrt(242)*1 - sqrt(242))*-1)**2.\nAnswer: -1056*sqrt(2) + 17456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-50)*-5 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 118 (base 10) to base 16\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - (1 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 327*w - 1. Let q be v(0). Is q >= 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 758, 781, 826, 893?\n\"Answer: 11*m**2 - 10*m + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2464.89 + 35.89. Let p = y + 2309.3. Let h = -120 - p. Which is the second biggest value? (a) 2\/7 (b) 1\/7 (c) h (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -7*l - 4. Let d be (-2)\/9 - 290\/l. Solve -4*w + d = -4*z, 3*w + 2*z = -w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -p - 5*l, 0 = -4*p + 5*l + 2. Let h = -1 + 1. Solve 0 = p*g + r - 17 + 7, h = -g + 5*r - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/119*156\/8424.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.317 - -10.917. Which is the second smallest value? (a) 0.273 (b) -0.03 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1921, 1923, 1925, 1927, 1929, 1931?\n\"Answer: 2*t + 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1\/c)\/c*c)**(-13\/5) assuming c is positive.\nAnswer: c**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3420*x + 3422*x + 2*q, -16*x + 2*q - 46 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(7) + -4 + -1 + 2 + -3*sqrt(7))**2 - (sqrt(504)*-5)\/(sqrt(200) - ((sqrt(200) - (sqrt(200) - 1*sqrt(200))) + sqrt(200)))).\nAnswer: 9*sqrt(7) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*p - 2*v - 62, -3*v + 8 = p. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 14*n**3 + 372 - 113 - 189.\nAnswer: -14*n**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 9*g - 21. Calculate d(-7).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*j + 4*w, j + 4*j + 194796*w = 194797*w - 57 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/9)\/(-2))\/(3*(-33)\/(-54)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3)*(-15)\/(-20). Solve -2*q - 2*k + 4*k - 14 = 0, -k = s*q - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124 or -128?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - 23) + 5 - 2) + -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -731996660 to the nearest one million.\nAnswer: -732000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -1437\nAnswer: 14\/1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 18*q**2 - 135*q + 52. What are the prime factors of w(-12)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 2, n: 4, r: 3, a: 1, t: 3}. What is prob of sequence yat?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from nlzig?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 49306135 in decreasing order.\nAnswer: 49306135, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*y + 50. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = 5*q - 4952. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/(-1116))\/((-358)\/(-9))*2\/(-1)\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/210 and 23\/1515?\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 330*w\/7 - 1352\/7.\nAnswer: 2*(w - 169)*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = z + 10*u - 6*u, 0 = 4*z - 5*u + 33 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-21))\/(2\/14). Let n(l) be the second derivative of 0*l**2 + 0 + p*l - 1\/3*l**4 - 1\/3*l**3 - 1\/10*l**5. Factor n(x).\nAnswer: -2*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198.7 - -194.7. Let i = -10 + 4. Put 0.2, n, i in descending order.\nAnswer: 0.2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 22424\nAnswer: -43\/11212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r - 74*r - 383 + 104 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 621.05 + -601. Let q = b + -20. Let r = q + 0.15. What is the third biggest value in r, 3, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -116 + 92 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 9*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -464*k - 40. Let p(x) = 928*x + 65. Calculate -3*p(n) - 5*z(n).\nAnswer: -464*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 165*(35\/15 + -2). Suppose -o = -2*o - g. Let q = -49 - o. Solve 2*a = -a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(10\/15)\/1. Let r = 2 - -2. What is the derivative of -q + r + 3*j**3 + j**3 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 48 + 72 = 0. Calculate the common denominator of 5\/7 and (t\/(-6))\/(1040\/360).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 - 2*q**3 + 29041*q**2 - 159630 wrt q.\nAnswer: 8*q**3 - 6*q**2 + 58082*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:33 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 49*a**3 - 32*a**3 - 19*a**3 + 7*a - a**4 to the form w*a**4 + c*a**2 + v*a + o*a**3 + n and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475827813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -95*w. Let o be q(-1). Suppose -3*h = 5*u - 85, -4*u - h + o = u. Suppose -4*z = -0*z - u. Sort -3, z, -2 in descending order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 3*k + 7. Let j(u) be the third derivative of -u**5\/60 + u**3\/6 - 44*u**2. Give 6*j(f) - m(f).\nAnswer: f**3 - 2*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2843b (base 13) to base 7.\nAnswer: -432616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -157 * 10\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4593 divided by -10?\nAnswer: 4593\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 64\/5 of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 1, g: 1, w: 1, q: 1, r: 1}. What is prob of sequence gm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/8)\/z*z**(5\/3))**38)**49 assuming z is positive.\nAnswer: z**(17689\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6888 is divided by 4058?\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48127\/9 + 5342. Let v = 8\/235 + 777\/94. Find the common denominator of d and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 19*q + 191. What is the lowest common multiple of 336 and c(-11)?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(1008) - (2 + sqrt(1008) + -3))*-3*6)**2*-5.\nAnswer: -14698260 - 116640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 200395866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 22*j**2 + 74*j - 35. Give r(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-11 + 532\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 15*o + 7*o**2 - 5*o**2 to x*o + r + h*o**2 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (3 - 9))*(-28)\/35. Suppose -m - w = 3*q + 10, -26 = 5*q - m. Put 1, -6, q, 5 in ascending order.\nAnswer: -6, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-72) - (-4)\/24. Let s(v) be the third derivative of 1\/90*v**5 + 0*v**3 - u*v**4 + 2*v**2 + 0 + 0*v. Factor s(o).\nAnswer: 2*o*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = -3*a, -5 = -4*a + a - d. Solve 0*n - 4*n = -a*l + 10, 4*n = -5*l - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/2 - 3051*m**4\/2 + 2340783*m**3\/2 - 20711457*m**2\/2 - 41641938*m = 0. What is m?\nAnswer: -3, 0, 12, 1521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7 - (-3)\/(-42).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 257876*k**3 + 2*k**2 - k - 64350 wrt k.\nAnswer: 1547256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + 45.6. Let i = -49 + b. Let a = -5 - i. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -144. Let h = j + -40. Suppose -n = -3*a + 5 - h, 2*a + 13 = n. Solve n*v + 4 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 1. Let n be t(-7). Suppose 5*u + 8 = 4*x - 1, 5*u = 3*x - n. Let a = -4912.7 - -4913. What is the closest to 1\/4 in 1\/6, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 11*j + 5. Suppose 4*v + 26 = r + r, 3*v + 3 = 0. Let d be z(r). Suppose 5*m - 5*n + 2*n = 159, -n - 163 = -d*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/21)\/((-2)\/198).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1526*c + 17. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + 0*y**2)*(3 - 5 + 0 + 0 - 1 - 1 + (2 + 0 - 1)*(5 - 2 - 2) + 0 + 4 - 3 + 3 + 1 + 2).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1031 - -264?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 17}. Give prob of picking 2 s.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 2 + sqrt(847) + sqrt(847) - 5*(sqrt(42)\/sqrt(6) + 4)).\nAnswer: -100 + 85*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 9*c**2 - 27*c - 11. Let z(t) = t**2 - 8*t - 7. Suppose -2*q + 11 + 9 = 0. Let n be z(q). Is h(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 18, 52, 102, 168, 250?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.4963 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3255331, 6510665, 9765999?\nAnswer: 13021333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:04 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 4 (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 16*q + 42. Give i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/4 <= -5080.449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-8) - (-5467)\/44 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29925 and 70.\nAnswer: 59850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + x = 108886, -3*h + h - x = -72592. Suppose 2*g - a + 24198 = -2*a, -3*g - 3*a = h. Round g to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 6*t + 3. Let a(d) = 4*d. Let p be a(1). Suppose -4*y + 17 = s, -2*s + 52 = y + y. What is the remainder when s is divided by z(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 27*f + 3. What is c(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709.6265 minutes to nanoseconds.\nAnswer: 42577590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 132 - 90 + 63)*(2*i + 6*i + 7*i).\nAnswer: -3570*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k**3 + 4*k + 41166884*k**2 - 41166884*k**2 - 4*k.\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -5, 1\/78, 9\/31, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05453 times 4356?\nAnswer: 237.53268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 2 - 14 + 1 - b + 0*b + 2*b**2 + 0*b + (b - 6*b + 3*b)*(2*b + 0*b - 4*b) + b**2 + 4*b**2 - 2*b**2 + 3*b + b**2 - 3*b.\nAnswer: 11*b**2 - b - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.9. Let y = -0.5 - l. Let k = 18 - 35\/2. What is the biggest value in -2, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)\/(8\/120). Let x be (2 - 1) + s\/(-24). Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*x = 23 + 12, 5*h + x + 30 = 0. Let y(r) = 3*r. Let z be y(h). Let s be (-183)\/z - 1\/5. Solve 2*f - s = -a, 23 = 3*f - 3*a + 7*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*q - 28, 0*c = -2*c - 2*q + 22. Let j = 17 - 14. Let w = c - j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2662 and 2669 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 21*k**2 + 3*k + 72. Let i be z(-21). Let c(w) = 5*w**3 - 9*w**2 + 9*w - 9. Let u(l) = 2*l**3 - 5*l**2 + 4*l - 4. Calculate i*u(v) - 4*c(v).\nAnswer: -2*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 - 3*s + 7. Calculate p(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from bpspspesuppcee.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -6*k + k. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/4693?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65310088 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -19. Let c = h - -14. Let o be (c - -2)\/(15\/12)*-5. Solve o*f = f - u - 7, -5*u - 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h**3 - 3*h + 46. Let u(s) = -31*s**3 + 5*s - 91. Let q(y) = -5*t(y) - 3*u(y). Differentiate q(z) wrt z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4691.9969014 + 4692. What is l rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c - 129*c + 30 = -83*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -22*o - 106. Let d be s(-5). Suppose 5*h + r = 49, 0 = -7*r + d*r - 3. Solve -8 + h = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03039 or 1\/52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o - 5*f + 1180, 2*o = 3*f + 462. Let d = -127 + o. Suppose 5*z + 349 = 4*u, 2*u - d - 64 = -z. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 8*y + 3*i, -10901*y = -10905*y + 5*i + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26385*q**4 - 3*q**2 - 22*q**2 - 26389*q**4 - 6*q to i*q**4 + m*q + p*q**2 + k*q**3 + o and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 48*v - 99. Calculate o(47).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l + 13 = o + 30*l + 5, 4*l - 18 = 30*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -37. Let m(z) = 4*z**2 + 7*z + 3. Let o be m(x). Let l = 160 - o. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2 + 6*f. Let q(n) be the first derivative of -10*n**3\/3 + 5*n**2\/2 + 40. Let r(o) = 5*p(o) - 6*q(o). Let w(b) = -3*b**2. What is w(r(u))?\nAnswer: -675*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -5, -2, 19, -45 in increasing order.\nAnswer: -100, -45, -5, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 26 = 4*w, w + 18 = 2*f + 3*w. Let j(n) = -5*n + 3*n + f*n. Let d(l) = -l. Determine d(j(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - (126 - 126)) + (-20 - -3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkb when three letters picked without replacement from {k: 2, v: 3, b: 1, u: 3, g: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.084 + -0.038. Let f = b + 0.164. Let g = 0 - f. Round g to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - 6) + (2 + 0)\/2. Let j(m) = m**3 - 7*m**2 - 23*m + 6. Is 37 a factor of j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((5 - -1775)\/4)\/(15\/6) is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23240171 (base 9) in base 2?\nAnswer: -101011000111111100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyydddyydyody. Give prob of picking 4 d.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 17. Let y(o) = 2*o**2 + 2*o - 2. Let i be y(-2). Let f be i\/(-6)*(-5 - 4). Solve -8 = -n*q - x, f*q - 2*x - 2 = -x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1067\/210 + -13\/15. Find the common denominator of n and 71\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 1. Let q be m(-6). Let b = 15 - q. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 21. Suppose -5*p - 21 = 2*w - w, -t*p = w + 9. Is (-116)\/12*(p + 1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - (11 + -5 + -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xww when three letters picked without replacement from {x: 1, t: 2, r: 3, k: 3, v: 3, w: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469895059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/8 - 2085\/8896 and (-50)\/96*(49 - 46).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/5 + 600*j**2 + 169320*j - 44089600 = 0.\nAnswer: -830, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 24 + 12. What is s in -123*s**3 + 12 + 62*s**3 + 77*s**3 - 14*s - 12*s**2 - t*s**5 = 0?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-10 - (3 + (-78 - (12 + -3))))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((452\/1)\/113)\/((-12)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 558728136 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(275) + 1)*-1 - (-3 + (sqrt(275) - 1*sqrt(275)))*1)**2.\nAnswer: -60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76)*1 + sqrt(76)) + -6*((sqrt(76) - (1*sqrt(76) - sqrt(76))) + sqrt(76)))\/((sqrt(48)\/sqrt(3))\/sqrt(4) + sqrt(4) + (sqrt(12)*-1)\/sqrt(3)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 4 - 59097*w + 59081*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 + 4*y - 4. Let o be f(-5). Suppose 3*v = -4*b + o, -2*b - v - 1 = -0*v. Calculate the remainder when 9 is divided by b\/3 - (-60)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 - (7 - (4 - -4 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50468887247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29088042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16705206663 less than -6?\nAnswer: 16705206657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 888890 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.615427 rounded to zero decimal places?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 - 320 = -5*w. Let i = w + -108. Find s, given that 1\/6*s**2 + i - 1\/3*s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56*(-16)\/(-192)*(-228)\/(-28)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - 3.93. Let v = -0.02 + -0.02. Let m = -0.06 + v. Put m, y, 2\/7 in decreasing order.\nAnswer: 2\/7, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3406724.3013 and -1121.\nAnswer: -3407845.3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 14.4. Let w = -117 - -120. Is w at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1541088 to the nearest one thousand.\nAnswer: -1541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -25 - (3 + -2 + -2). Let o be -1 + 116\/6 - v\/36. Solve h = 14 - o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39, -124, -269, -474, -739, -1064?\n\"Answer: -30*k**2 + 5*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8ba - -ba?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 434 in -0.2, 11, -1, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 + 2*o**3)*(-o + o - 5*o)*(-2 + 2 + 2) + 0*o**4 + o**4 + 0*o**4 + (0*o + 3*o - o)*(0*o**3 - 3*o**3 + o**3).\nAnswer: -23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 - 2*p + 2. Let q be y(6). Let a = q - 92. Find the common denominator of -77\/118 and (-58)\/9 - (a\/(-4) - -1).\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-184)\/(-6)*(-79)\/(-24). Let u = f - 101. Is u at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 2*i + 2*z, 3*i - 8*z = -9*z + 249. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -20*d - 2. Let f(q) = 3*q**d + 3*q**2 - 5*q**2. Let p(w) = -2*w + 6. Let s(l) = -4*l + 13. Let v(x) = -13*p(x) + 6*s(x). What is v(f(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10\/7)\/(q\/((q\/q**(3\/2))\/q))*(q*q**5*q)\/(q*((q*q\/q**10*q*q)\/q)\/q*q))**(4\/3) assuming q is positive.\nAnswer: q**(254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:25 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from rrnznzfrzfzzrnaffzz.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009259 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 24*u. Let p(i) be the first derivative of 11*i + 0*i**2 + 2\/3*i**3 - 28. Let w(o) be the first derivative of p(o). Determine w(a(q)).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70464752179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4.7. Let d = -2 - -2.5. Let c = d + 0.5. Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5 = 5*l, -2 = -c + 17*l - 15*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 352149 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211122222 (base 3) to base 7.\nAnswer: -66113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 33 = -g, -15*a + 19*a = g + 63. Let r = -10 - -14. Suppose -4*p = -2*p - 5*p. Solve r*l + l - a = p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.5, -103, -11, -0.24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 96.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Let n(y) = 20*y - 3. Determine r(n(i)).\nAnswer: 800*i**2 - 240*i + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0*n**2 + 0 + 2*n + 0*n**3 + 1\/12*n**4. Let k(y) be the first derivative of y**3 + 14852. What is t(k(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6282072170 rounded to the nearest one million?\nAnswer: -6282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-4)\/3)*(-6)\/14. Factor -b*m**3 - 4\/7 + 0*m**2 + 6\/7*m.\nAnswer: -2*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17895\/29 - 617. Which is greater: r or -0.07?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 10*b**2 + 10*b + 3. Suppose 4*o = -1 - 43. Let v be u(o). Let m(r) = 6*r + 6*r - 3 - v*r - 2. Calculate m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Suppose 4*m = -3*o - v, -4*m - m + 5*o + 30 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*k = 96 + 136, 0 = -2*k. Suppose 4*z + 351*r - 356*r = 177, -4*z + 127 = 5*r. What is the remainder when d is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1\/2*s**3 + 0 - 1\/20*s**5 - 3\/2*s**2 - 2*s - 1\/3*s**4. Is 4 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26098169 or 26098153?\nAnswer: 26098169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84039.98 less than 140491?\nAnswer: 56451.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1336, -1314, -1292, -1270, -1248, -1226?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**3 - 3*o**2 - o + 1. Let j be h(-1). Suppose 3*p - j*s = -p + 1497, 0 = 2*p + s - 731. Suppose 17*g + p = 21*g. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28009660 times -1.6?\nAnswer: -44815456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -108*x**3 - 9*x**2 + 7*x + 168. Let l(s) = -244*s**3 - 18*s**2 + 12*s + 336. Let p(o) = -4*l(o) + 9*u(o). What is the derivative of p(n) wrt n?\nAnswer: 12*n**2 - 18*n + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2719.311\nAnswer: -5438.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34411*c - 23550 = 34097*c for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-1056))\/(6\/4*6\/(-36)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -160, -195, -176, -85, 96, 385?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/7439 and -31\/385194.\nAnswer: 66638562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {y: 4, c: 1, j: 2, b: 1, h: 2, d: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 - 2*v**2 + 4*v - 2. Suppose 11 = 2*w - 17. Calculate the remainder when w is divided by s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 7 + 6 - 2*c - c - 2*c + c + (c + 2*c - 4*c)*(5 - 1 - 2).\nAnswer: -6*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -1.7. Let s = 5 + -10. Sort 1\/4, s, y.\nAnswer: s, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -32*d**2 - 10 + 24*d**2 + 4*d + 4*d**3 + 15*d**2 - 3*d**3. What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -0.11064163615827\nAnswer: -3.11064163615827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5055925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.4514 and -1?\nAnswer: 2.4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -248 - 242 - 249 + 745 + 4*f - 3*f. Let d(i) = -2*i - 5. What is 2*d(x) + 3*h(x)?\nAnswer: -x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004884 rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.1. Let r = m + 0.9. Which is the third smallest value? (a) r (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -103. What is the least common multiple of 11 and 48\/40*f*15\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000 - -11?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -1300\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d = 702 - 228 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 610, 1385, 2472, 3871, 5582, 7605?\nAnswer: 9940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 2*x**2 + 2*x + 1. Let o be k(-1). Suppose o*c + 10 = 0, c = -2*r + 3*c + 88. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k - 128 = -559 - 694 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*g + 3*q = -1585, -2*g + 1368 = 2*q + 1378 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126287 is divided by 2483?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3242 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 212*d**2 + 151. Let h(w) = -107*w**2 - 76. Let i(r) = 7*h(r) + 3*k(r). What is the first derivative of i(v) wrt v?\nAnswer: -226*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-63)\/6. Suppose 5 = -5*b - 3*s - 2, -5*b = -s + w. Let u(z) = z**3 - 7*z**2 + 5*z + 3. Let y be u(6). Sort 3, b, y in increasing order.\nAnswer: y, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -18*o**3 - 2 - 1 - 1 + 18*o**2 + 19*o + 33*o**3. Let y be g(-11). What is y rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3*b**3 + 20\/3*b + 2\/3*b**4 - 2\/3*b**2 + 0 = 0. Calculate b.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 20*l**4 - 13715*l**3 - 4278210*l**2 + 33997385*l + 8766520 = 0.\nAnswer: -239, -1\/4, 8, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/111? (a) 2\/11 (b) -25 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109052 plus -4?\nAnswer: -109056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 8*l + l)*(l**2 - l**2 - 2*l**2) to the form o + p*l**3 + s*l**2 + h*l and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 9*j - 57. Suppose -25 = -n - j. Let r = 0.1 + -0.1. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*o + 7. Suppose 4*m = -5*t + 5585, -m - 3351 = -o*t - 3*m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2014 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 21. Let q = 31 - v. Let j = q - 10. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -7, -103, -2, 5, -8 in descending order.\nAnswer: 5, -2, -7, -8, -103, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 3*z - 6. Give j(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18*t**3 - t**2 - t + 1. Let o be g(-2). Suppose 0 = 11*x + 13 - 68. Suppose -x*l + 61 = -4. Calculate the greatest common divisor of o and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 460 = 63*l. Solve l = -442*g + 440*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -44*y. Let h(m) be the first derivative of -572*m**2 - 26. Let c(i) = 3*h(i) - 77*j(i). What is the tens digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 - 7*f - 6. Let j(s) = 7*s**3 + 6*s + 5. Give 6*j(x) + 5*t(x).\nAnswer: 7*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17323233 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 427. Let q(i) = -25*i + 1713. Let b(z) = -9*c(z) - 2*q(z). Let x(t) = -3*t. What is x(b(a))?\nAnswer: -15*a - 1251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**3 + 0*p**3 + 3*p**3 + (p - 3*p + 3*p)*(p**2 + 0 + 0) - 4*p**3 + 7*p**3 + 2*p**3 + (0*p**2 + 3*p**2 - 2*p**2)*(-p + p - 2*p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 9904?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 1. Let r = 2554 + -2548. Suppose -4*z - z + 20 = 0. Let q(c) = -c + r*c - z*c. Calculate 3*q(l) + x(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*-13 - (-2)\/8*-12. Let h = o + 142. Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -207311, -207285, -207259?\n\"Answer: 26*x - 207337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i**2 + i**2 - 2*i**2)*(78*i - 270*i + 116*i) to x + h*i**3 + q*i + g*i**2 and give h.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.2846 rounded to 1 decimal place?\nAnswer: -328.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -219\/22 or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 544 + -517. Let f(o) = 39*o + 25 + 19*o - 15*o**2 + u*o - 100*o + 40*o. Let n(d) = 4*d**2 - 6*d - 6. Calculate 6*f(p) + 25*n(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*((n**5*n*n)\/n)\/n))\/n**(-8)*(n\/n**(-6))\/n**5 assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 2, -61, -204, -457, -850, -1413, -2176?\nAnswer: -3169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 963*d**3 - 15805 + 15805 + 3758*d wrt d?\nAnswer: 5778*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - (3 - 2 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - t)*(143 - 143 - 4*t)*(5*t**2 - 5*t**2 + 6*t**2) to z*t**3 + u*t + c + f*t**2 + m*t**4 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229 + -3450660.53212?\nAnswer: -3450660.76112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0.3, 0.1916, 5, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/406 - 520030\/13340\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + v + v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 33 = s, s + 2*g - 2 - 19 = 0. Let x = s - 82\/3. Let 7\/3*o**2 + x*o - 2\/3 = 0. Calculate o.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 368 = 34*m - 60*m. Solve -3*f - 3*v = m - 32, 0 = 5*f + v - 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + u + 5. Let z be q(-3). What is the third derivative of -47*p**5 - 4*p**z - 52*p**5 - 24*p**2 + 67*p**5 wrt p?\nAnswer: -1920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5630 + -22363\/4. Let l = -39 + y. Which is bigger: l or -0.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u - t - 15, 3*u - 4*t - 5 = 0. Let h(b) = -3*b. Let i(j) = 7*j. Let r(l) = u*h(l) - 2*i(l). Let a(k) = 27*k. Determine r(a(v)).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25973340.22972186 + 25973340. Let v = -0.2297 - k. What is v rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013443403 (base 5) to base 13.\nAnswer: 583c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23013117 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4854.50181 and -0.2.\nAnswer: 970.900362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*v - 19 + 7, z - 4 = -3*v. Which is the nearest to -0.1? (a) z (b) 2 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65\/2 in 6\/7, -0.2, 3, -2\/3, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.12 + 0.32. Let d = 3.3 + z. Put d, -3, -0.6 in descending order.\nAnswer: d, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p + 183. Determine o(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -2)*(-4 - -5). Suppose -q - 4*u - 9 = 0, 0*q - 1 = 3*q - u. Let i = q + m. Solve -2*f - 2*f + 5*p = -10, i*p = -f + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 2*h**2 + h + 1. Let i be (-2)\/7 + 220\/35. Suppose i*c = 13 - 25. What is j(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50\/8)\/((-4)\/(-64)). Suppose -4*f + 9*f - y = 0. Suppose 12 + f = r + 5*t, 0 = 3*r - t - 16. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0 (b) -170 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(0 + 0 + u) + (-2 + 4 + 0)*(2 - 2*u - 2) - 2*u - 2 + 2.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 562. Calculate i(-76).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*d + 3 = 0, d = 4 - 0. Suppose -4*p + 28 = 2*l - 4*l, -h*p - l = -16. Let b(j) = 11*j - 9. Is b(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*x - 4*k, 4*x - k = x + 20. Suppose x*v = 4*v + 82. Suppose -p = l - 31, 4*l - p + v = 226. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**3 - 27*n**3 + 20*n**3 + 45945*n**2 - 45945*n**2.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {l: 7, e: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 22. Suppose -v*o + 2*o = -82290000. Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86707.5 grams in kilograms?\nAnswer: 86.7075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 27, 3\/7, -2 in ascending order.\nAnswer: -2, 3\/7, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -2*f + 350*m - 355*m, 0 = -f - m - 85. Put -4, 1, f in ascending order.\nAnswer: f, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -13. Let p be 1071\/(-56) + g\/8. Let a = -13 - p. Calculate the highest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3123472.\nAnswer: 2, 11, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1300823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48283373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -11, -5, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-3)\/(-2)*(-120)\/(-45). Suppose u = -5*d + 19*d - 854. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u - 9. What is the units digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16199 + 0*k + 0*k + 15*k**2 + 9165 + 7034.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210012 + 101?\nAnswer: 12210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4261, 8387, 12389, 16267, 20021, 23651?\nAnswer: 27157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 38*c**2 + 13*c + 167. What is the tens digit of k(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.644 and 30.\nAnswer: 29.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 7338422 and 7338401 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, a: 2, k: 3, m: 1, z: 1, u: 1}. Give prob of picking 1 w and 1 z.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 11. List the prime factors of (v\/4)\/(3\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -24. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -110. Let h = k + -161. Let w = -54 - h. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 4*u + 2. Let d be m(-4). Let i(p) = -7 + 8 + d + p - 4. Let z(l) = l - 3. Let x(t) = 5*i(t) - 3*z(t). Differentiate x(v) with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1360*11\/66*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) - (-1 + 0). Suppose -2*w = -5*h + 2, 0 = -d*h + h - 3*w + 16. Solve f + 2*v = -2*f - 7, -2*f + h*v = -12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {t: 1, w: 2, z: 1, y: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(312\/(-3328))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 - 3720*h - 2306400.\nAnswer: -3*(h + 1240)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 14 = h, -3*h + 22 = -0*u - u. Solve -2*t - 4*w + h = 4, 5*w + 5 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67218759 to the nearest integer?\nAnswer: 8199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 15) to base 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aallqtaaaallaatl. What is prob of picking 1 l and 3 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261979\/39 - 6718. Let f = r - 1\/13. Sort 0.3, -4, f in decreasing order.\nAnswer: 0.3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(8 - 1 + 6 - 2*t) + (-16*t + t + 7*t)*(-4 + 4 - 2).\nAnswer: 22*t - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g**2 + 58*g**2 - 138*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 1. Let w(z) = 143*z + 10. Let x be w(o). What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*a = 790*a + 1212 + 23498 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - 5 - -12) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -41. Suppose -j - 24 = 5*u, -5*j + h = -5*u - 4. What are the prime factors of ((-2)\/4)\/(j\/(-26))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y = -668966 + 666698 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(128) + -5) + (sqrt(128) - 6*2*sqrt(128)))**2 - (-5*(1*sqrt(128) + -2)*1)**2.\nAnswer: 1600*sqrt(2) + 9525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*l = 22, 0 = 5*l - 8*l + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218004 is divided by 701?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)*2\/(-4). Suppose -7 = -4*o + g. Let f be (27\/6)\/(-3)*o. Let a(v) = -v**2 - 5*v - 4. What is a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5.2. Let r = 3 - 3.4. Let n = -3144 + 3144.4. What is the nearest to -1 in n, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -26?\nAnswer: 27\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1512 and 115\/13734?\nAnswer: 164808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8076 divided by -5?\nAnswer: -8076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90718*z + 1536 + 336 = 90666*z for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 619 + 182 - 200 + 759*j - 580*j + 8785*j with respect to j.\nAnswer: 8964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*n + 36*n + 31*n**2 - 12*n**2 + 22*n**2 + 25*n**2 + (5*n - n + 0*n)*(2*n - n + 2*n) in the form g*n**2 + d*n + p and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 7. Let a(b) = -b**3 - 20*b**2 - 21*b - 2. Let l be a(-11). Let c = l + 857. Give j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 421267, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*w + w - 3*r, 0 = -3*w - 3*r + 69. Calculate the remainder when 35 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/4 - o**3\/3 + 3*o**2\/2 - 3*o. Let q(a) be the first derivative of d(a). Let l(f) = -f. What is 5*l(z) - q(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + 4*n + 0*n)*(2*n + 0 + 0) + (-1 + 2*n + 1)*(-3*n + n + 0*n) + 3*n**2 - 2*n**2 - 3*n**2.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.992138 decades?\nAnswer: 0.7992138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -539*a**2*u**4 + 4850581*a**2*u**2 + 45*a*u**5 wrt u.\nAnswer: -12936*a**2*u + 2700*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973575292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvkv when four letters picked without replacement from {v: 3, k: 15}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c - 8. Let j be x(3). Sort j, 5, -6, 2.\nAnswer: -6, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-8)\/(-4)) + 3. Suppose -x = -z*b - 6, -4*x - 2*b - 3*b - 61 = 0. Let o = 1 - x. Solve -5*s + o*s - 20 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*a + 18 = -7*a, 0 = t - 4*a - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(21\/14)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 0*x = -2874. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3871*b - 3884*b + 2028. Calculate the remainder when b is divided by -3*-2*1\/18*159.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 780 and -5.\nAnswer: -3900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/6 + 7*d + 7. Let v = -35 - -37. Let h(a) = 31*a**2 - 4*a**v + 19*a**2 - a**2. Determine q(h(l)).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14271, -56685, -127375, -226341?\nAnswer: -353583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 - i + 1. Let g(m) = -120*m**2 + 4295*m + 933145. Let h(w) = -25*c(w) + g(w). Find o, given that h(o) = 0.\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22527168\/29 bigger than 776799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114912 and 44631.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 64 = 3*q - 5*s - 16, -2*q + 8*s - 4*s + 64 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 23 = -73. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - 1.4. Suppose -2*v + 3*u + u + 10 = 0, -3*u = 0. Let l be 2\/(-7)*(4 - v). Which is the biggest value? (a) l (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 103.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 27.4904, 3\/7, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*h - 12*b - 99, -h = 3*b + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.051 - 0.149. What is the closest to -3 in g, -2\/11, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(99)\/(sqrt(9)*-1))**2 - (sqrt(539) - sqrt(539)*-1)).\nAnswer: -55 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10 and ((-158)\/(-16))\/((-10)\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22. Suppose -11*m + 33 = -l*m. Factor -6*f**2 + 2*f**2 - m + 7*f**2.\nAnswer: 3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**3\/9 - 40*q**2\/9 - 61*q\/9 - 14\/9 = 0. What is q?\nAnswer: -1, -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6237 and 109\/12164985.\nAnswer: 133814835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 5*n**3 + 1327*n - 1327*n.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-76) - (175\/20 + -4)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2)\/((-12)\/96). What is the first derivative of 41*y**2 - 41*y**2 - 5 + l*y**4 wrt y?\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -0.5 (c) 2\/401 (d) -0.081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x - 6875*x**3 + 7158*x**3 - 8*x)*(3*x + 2*x**2 - 3*x).\nAnswer: 566*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:04 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3570376.996 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 6. Let w be (-81)\/(-15) + (-4)\/10. Suppose -5*l + 0 = -20. Solve -s + w*y = -l*s - 26, -4*s = -r*y - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 = -4*f - 0, 3*f - 15 = 0. Let z = 11 - 13. Let q be (z - 3 - 1)*1. Is q > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.85 - -0.15. Let w = -93 - -745\/8. What is the nearest to 0 in o, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {p: 1, s: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 53*u - 379. Give s(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 1. Let r be j(1). Let q(t) = 3*t**3 - 14*t**2 + 23*t. Let k be q(2). What is the tens digit of r - (-1 - 0)\/(k\/490)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 + 7*p**5\/60 - p**4\/24 - 4*p**3\/3 + p**2. Let k be v(7). Which is bigger: -14 or k?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 333 = 7*r. Suppose 3*m = 2*m - 3*n + 88, -3*m + 236 = 2*n. Let t = r + m. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2225, -4464, -6705, -8948?\n\"Answer: -u**2 - 2236*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q**4 - 3324798*q**3 - 102352244007*q**2 + 136474091772*q - 45491856492 = 0. What is q?\nAnswer: -61571, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3\/3 + i. Let a(c) = -11*c + 2. Let w(x) = 21*x - 5. Let y(k) = 5*a(k) + 2*w(k). What is v(y(m))?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 2, 3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**2 - n - 2057. Let r(q) = 14*q**2 + 3*q + 5142. Give -12*a(m) - 5*r(m).\nAnswer: 2*m**2 - 3*m - 1026","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:27 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 131*p + 131*p + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/2, 1.2, -18 in descending order.\nAnswer: 3, 5\/2, 1.2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 87 - 22*c - 92 - 4*c**2. Let m be b(-13). Let n = m - -85. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i - 2*i + 1)*(-i**2 + 0*i**2 + 3*i**2) + (-4*i**2 + 2*i**2 + 0*i**2)*(-118*i + 70*i - 184*i).\nAnswer: 466*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (1 + 2 + 0 + (12 - 12)). Sort 2\/11, 3\/2, c, -3, 4.5.\nAnswer: -3, 2\/11, 3\/2, c, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*y + 8 - 13, 5*y = 2*a - 20. Suppose a*z = 10, -2*x = x + 5*z - 934. Is x a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116756 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e - -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 43*m - 47*m - 9, 2*m - 13 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7889.057ml to litres.\nAnswer: 7.889057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(972))\/((sqrt(9) - sqrt(36))*-2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136328576 divided by -250604?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9722887.\nAnswer: 9722887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j**2 + 11*j + 13. Let i(o) = 5*o**2 - 5*o - 6. Let r(g) = -13*i(g) - 6*z(g). Let x = 0 + 0. Let m be r(x). Solve -5*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 2 (c) -2\/19 (d) 3 (e) -1.16 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4818739um?\nAnswer: 0.00004818739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1639750 and 1153?\nAnswer: 1890631750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 12*a**2 - 2*a + 17. Suppose -420 = -86*o + 16*o. Calculate y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 4, 45, 0 in ascending order.\nAnswer: -2, 0, 4, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483417733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8109173 + 8109174.6000564. Let u = 1.6 - x. What is u rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 4 + 582*i + 13 + 9 to t*i + u and give t.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*m + 137028 = 0, -72*i + 2*m + 91366 = -70*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 49786*f**3 - 619561865*f**2 - 2479044100*f.\nAnswer: -f*(f - 24895)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 250430953 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 2*h = 19, 19*c - 22*c = -2*h - 11. Is 13\/5 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(76)*1)*5)**2.\nAnswer: -500*sqrt(19) + 2525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/32, 0.3, -1, -1.3 in decreasing order.\nAnswer: 5, 0.3, -1\/32, -1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-574)\/(-252) - 15\/6. Which is the closest to -0.1? (a) 4\/7 (b) 4 (c) -2\/13 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*x - 10. Suppose -91 - 117 = -x*c + 4*s, -c - s = -89. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Suppose p*k = 2*k + 10. Suppose 0 = -k*g + 10 + 10. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.64*1396\nAnswer: -23229.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5580, -5572, -5566, -5562?\n\"Answer: -c**2 + 11*c - 5590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4638285 and 378.\nAnswer: 194807970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 3*d**2 - 6*d**2 + 0*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1 + 15))\/((-1615)\/1615)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6943)\/393 + (-2 - -15)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2aba09 (base 12) to base 10.\nAnswer: -725481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1194284 - 2131796836\/1785. Calculate the common denominator of d and 91\/6.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9121682, -9121683, -9121684, -9121685, -9121686?\nAnswer: -9121687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/(20\/(-48))*660\/(-99).\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15549546.\nAnswer: 2, 3, 37, 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - w - 3, 0 = 4*g - w. Let i = -3 - -6. Let t = i + g. Solve -3*o = t*b + b + 12, 5*o + 20 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 71*(0\/(-2) - -1). Let m be 27 + 2\/21 + 2688\/(-441). Let f = b - m. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71201962?\nAnswer: 2, 13, 643, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 284, 14765 in ascending order.\nAnswer: 19, 284, 14765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 + 2*m + 7. Let o(j) be the third derivative of -j**6\/120 + j**5\/12 + 5*j**4\/24 + j**3\/6 + 9*j**2. Let k be o(6). What is v(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 0.5 (c) 3561156 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1263326609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -3\/68, -2\/5, -5.\nAnswer: -6, -5, -2\/5, -3\/68, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -245\/6. Let p(s) be the second derivative of y*s**4 + 0*s**3 - s + 0*s**2 + 0. Let z(x) = 2*x**2. Give z(p(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let p(l) = 2*l**3 - 3*l**2 - l + 2. Let v be p(n). Suppose 4*z = 2*z + v. Solve q + z = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 - 305 - (2 - 4) - (-21 + 3 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from qqqqqqqqqqmmmqqqqq?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58120788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:19 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 501083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -116. Suppose 0*m + 3*m = v. Suppose 0 = 4*s - 0*s - m. Calculate the smallest common multiple of 4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 3. Let a(b) = -4*b**2 + 116316*b + 1. Give a(n(h)).\nAnswer: -4*h**2 + 116292*h + 348913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 2)*(-88*g - 93*g**2 + 88*g) - 3 + 2*g**2 + 3 + (0*g - 3*g + 2*g)*(0*g - 4*g + 3*g) to the form l + n*g**2 + k*g and give n.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76a62 (base 12) to base 14.\nAnswer: 4132a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33322 (base 8) in base 2?\nAnswer: -11011011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*f + 17, x = -x + 3*f + 12. Suppose x*n = -n + 824. Suppose -5*a + a + 5*v + 424 = 0, n = 2*a - v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2 + 0*b**2 - 2\/3*b + 2\/9*b**3. Factor h(u).\nAnswer: 2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 5*h + 5. Let g(d) = 1. Let r(y) = -6*g(y) + x(y). What is r(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1493123152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**2. Let g(o) = 23*o. What is g(w(f))?\nAnswer: 253*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -279 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-5) + 2 + -4. Let p = -47 - -139\/3. What is the nearest to p in 1\/6, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 6919863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.017 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 68. Suppose 5*w - 166 = -b + 325, b + 301 = q*w. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**28\/l)\/(l\/(l*l**(2\/17)\/l)))**(-1) assuming l is positive.\nAnswer: l**(-461\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.174058431 to 3 decimal places.\nAnswer: 3.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1260 + -1259.8002. Let o = d - 0.2. Let a = o - 0. What is a rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 534168654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2 (b) -0.2 (c) 13.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/22 + (-348188)\/(-47091)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Suppose j - k*j = 0. Suppose j = -4*v - 6 + 14. Solve v*x + 0*x + 4 = 3*c, 4*x - 4*c = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9 = 3*o + c, -4*c + 4 = -4*o. Determine n so that -3*n**3 + o*n**3 - 2*n**3 + 3*n**4 + 3*n + 4*n**2 - 7*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 7 = -9*i + 35. Solve s - 5 = -11*o + 14*o, i*o + 8 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(605) + -1 + sqrt(605) + 6*(2*sqrt(605) - sqrt(605)))**2 + -3*3*(sqrt(80) + 1)*-4.\nAnswer: -54*sqrt(5) + 49042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-4 - 1000\/(-240)). Let w = -2.4 - -2. What is the nearest to 0.2 in 1\/4, w, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-8 + 8 + 3*a)*(15 + 21*a - 15).\nAnswer: 189*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, w: 4, g: 1}. Give prob of sequence nng.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 36\/7*w**2 + 6\/7*w**3 + 54\/7*w = 0. Calculate w.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -12b?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**2 + 73*a + 246. What is s(-3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40800 and 10200.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219 + 87*i - 461 + 239 to the form s + f*i and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11 + 3 = 4*p, o = -4*p + 11. Suppose w - 5*w = -k, o*w = 3*k - 9. Solve -2*b = 7 + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/4*854224\/139916\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:33 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/((-3)\/(-6)))\/((-7)\/(-21)). Solve 0 = -2*r - 2 + b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*(sqrt(132) - 5*(sqrt(132) + sqrt(132)*-1)))\/((sqrt(432)*2 - sqrt(432))*-1))*-1.\nAnswer: 1 + 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*g + 3)*(6 - 3 - 1).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 55281*j - j**2 - 27638*j - 12*j**4 + 3*j**2 - 27639*j - j**3 in the form k + s*j**3 + o*j**4 + x*j**2 + n*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by -88.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1601412*-54.3\nAnswer: -86956671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-180)\/25))\/((-3)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6298 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n**(1\/2)*n)*n*n)*n*n)**23)**(-12) assuming n is positive.\nAnswer: n**(-966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/41)\/p*p**(-19)\/p)\/(((p*((p*p*(p**(1\/4)*p)\/p)\/p)\/p)\/p)\/p)**(31\/3) assuming p is positive.\nAnswer: p**(-2165\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339.2 + 188. Let k = 151 + s. Sort k, 64, -2\/13, -0.3 in descending order.\nAnswer: 64, -2\/13, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104232\/12928 - (-2)\/(-32))\/((-5)\/((-220)\/8)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 14*c - 2. Suppose 2*d + 24 = 6*d. Let b be p(d). Suppose 5*z = -b + 271. What is the greatest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475870 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 110*l**3 + 525*l**2 + 740*l + 320 = 0. What is l?\nAnswer: -16, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 711783889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 837296 and 2093240.\nAnswer: 4186480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58.33533ml?\nAnswer: 0.05833533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*z = 10, -73*f + 2*z - 307 - 68 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4048 and 8160?\nAnswer: 2064480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -45095916 at least -45095917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*((2*p + 0*p - p)*(-3*p + 3*p - 2*p) - 2*p**2 - 3*p**2 + 4*p**2 - 4*p**2 + 3 - 3) as i*p**2 + d + n*p and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(112) + (sqrt(112) - -1*sqrt(112) - sqrt(112)) + 0 + 2))**2*1*1.\nAnswer: 32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2*k**3\/33 + 104*k**2\/11 - 5408*k\/11 - 125. Factor p(b).\nAnswer: -2*(b - 52)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*i + i - 5*u, -5*u = 2*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143211587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/7)*j**2*j*j*j**(-7)*j**(-1)*j assuming j is positive.\nAnswer: j**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56418104 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005426 rounded to 5 dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5171*r**2 - 5170*r**2 + 3*r**4 + 0*r**4 - 2*r - 1 - 2*r**3 to i*r**4 + x*r + y + b*r**2 + w*r**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 12*t**4\/5 + 2222*t**3 - 136674*t**2\/5 + 256872*t\/5 - 26264 = 0.\nAnswer: -938, 1, 7\/6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*s + 2 = 4*b, 2*s - 12 = 2*b. Suppose 7 - 1 = 3*v. Suppose 2*m + 0*m + v*n = -38, 46 = -4*m + 2*n. Put b, m, -1 in descending order.\nAnswer: -1, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -1.9, -3\/52 in decreasing order.\nAnswer: -3\/52, -1.9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 18. Suppose f = -5*j - p + 30, 5*f - 58 = -j. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3865 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*g - 48 = 0, -3*q = 54*g - 58*g - 32. Let i be -4*(20\/q)\/(-1). Solve 0*x + i = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - ((0 - -2) + (-20 - -3) + 16)) + -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 23 = -d, 7*j - 85 = 2*j - 3*d. Let y(m) = -m**2 + 12*m + 38. Let l be y(j). Calculate the greatest common factor of l and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**2 - 6. Suppose 4*b - 26 = -w, 2*b - 3*b = 3*w - 12. Let h be (7 - b)*(-2 - -3). Let a(k) = k**2 - 1. What is h*f(u) - 8*a(u)?\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 3)*(0 + 0 + 3*h)*(-h**2 + 6*h**2 - 2*h**2).\nAnswer: -81*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -84*x. Let s(l) = -4*l - 2. Let n(t) = -24*t - 14. Let y(u) = -2*n(u) + 14*s(u). Determine p(y(r)).\nAnswer: 672*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 5*o + 355, 0 = -2*v + 78*o - 76*o - 130 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1 + 2*j + 1. Suppose 5*d = 2*v + 17, 0 = -5*d + 14 + 1. Let z be (-1)\/(-2) + v\/(-2). What is u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51124.\nAnswer: 2, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -0.1, -3, -31, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6725218174.\nAnswer: 2, 3362609087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-1)\/(6\/(-16))))\/((-90)\/(-200)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 229112922023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 3\/2 (c) -2\/17 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (4 - 260\/32). What is the third smallest value in 5, -5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/26085 and 26\/13298133?\nAnswer: 66490665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 - 3*r + 6. Suppose -5*k = -k + 4. Let h = k - -11. What is the smallest common multiple of h and d(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/168 and -23\/4231434?\nAnswer: 118480152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -20377?\nAnswer: 20376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14094 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**2 + 14*d**2 + 17*d**2 + 3 - 3 - 2*d**2 + (2 - 2*d - 2)*(-d + 2*d + 0*d) + 2*d**2 + 3*d**2 - 6*d**2 + 40*d**2 - 135*d**2 - 9*d + 9*d.\nAnswer: -59*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103218211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65\/31 or 0.0006?\nAnswer: 65\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:24 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -59, -0.1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/240 and -91\/12.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895999, 3584113, 8064297, 14336545, 22400851, 32257209?\nAnswer: 43905613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + 6 + 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 4. Let r be d(0). Let h be (-4)\/(-16) - 23\/r. Solve -4*f + 10 = -h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 - 2*m**2 - 3*m + 11. Let u be f(-3). Solve -8*b - 169 + u = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 2, d: 2, p: 1, j: 3, x: 3}. What is prob of sequence wjdp?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 32 = 6*c - c - c + 41*p, 57*c + 14*p - 19*p = 121 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-21))**(-35)*((w*w*w\/(w\/(w\/(w**(7\/4)*w*w))))\/w)**(-2\/35))**(-39) assuming w is positive.\nAnswer: w**(-286689\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.45521ml in litres?\nAnswer: 0.08545521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 16 = 0, -o - 2*g = -4*g - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6 - ((-15)\/6 + 62\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675775400 by 1340.\nAnswer: -504310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - j = -160. Let i(b) = -b**2 - 8*b. Let k be i(j). Suppose 8*t + 5*t - 11401 = k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 449820290 by 3.\nAnswer: 449820290\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39870651 - 4?\nAnswer: 39870648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 471807 and 8559927.\nAnswer: 59919489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 2 + 0 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 1994976.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 232 divided by -8\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5542 + -5541.9895. Which is greater: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -3*r - 50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 142. Calculate the remainder when j is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 49, 0.39, 35, -1\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:51 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and ((-6)\/(-8))\/((-1)\/48*-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 20976*w**3 + 62916*w**2 + 62912*w + 20970.\nAnswer: 2*(w + 1)**3*(w + 10485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 5*i**2 - 7*i - 6. Suppose -2*r + 4*r + 48 = 0. Let f = r + 18. Determine g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1663 + -0.0337. What is the smallest value in q, 1\/4, -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 415 = -41 + 391 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1373\/6 + 228. Let v = 0.68 - 0.08. Which is the smallest value? (a) u (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 - 111 = -3*t, 3*f = 12. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 10. Let c(d) = d - 3. Let p(s) = 10*c(s) + 3*u(s). Let t(j) be the second derivative of 119*j**3\/6 - 68*j. What is t(p(v))?\nAnswer: -238*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71086 - 39950. Is 278 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615456 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18152*o**3 + 189*o**2 - 648343363 with respect to o.\nAnswer: 54456*o**2 + 378*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 4*f**2 - 9*f + 4. Let j(z) be the second derivative of -z**5\/10 - z**4\/3 - 4*z**3\/3 + 3*z**2\/2 + z. Let s(k) = 4*j(k) - 3*v(k). Give s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 10.5. Let r = 1425 - 1425.5. Put a, -8, r, 0.06 in ascending order.\nAnswer: -8, r, 0.06, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 5*q + 3. Let a(w) = w**3 + 10*w**2 + 22*w - 6. Let k(j) = -a(j) - 2*u(j). Determine k(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10 - 1)\/(9\/(-90)). Suppose -m*w + 174371 = -71131. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y - 42*y + 1 + 5*y + 24*y - 272*y**2 to x + l*y**2 + d*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 35*u - 3159. Let v be d(90). Let h(r) = r**2 + 12*r + 21. Give h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22010210200021 - -2?\nAnswer: 22010210200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-48)\/(-64))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000280068 rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + 2. What is the least common multiple of 27 and q?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335, -42, 453, 1156, 2073, 3210?\nAnswer: 4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {b: 3, x: 1, e: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*9\/6. Suppose -4*i - 28 = -w*f, 3*f + 4*i = 4*f - 20. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5\/6, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24966574 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -23*h - 1. Let w be f(-2). What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 5*z - 2*z + (2*z - 2*z + z)*(-5 + 3 + 4) - 3 + 3 - 2*z + 39*z + 11*z - 16*z.\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 1\/12*q**4 + 0*q**2 - 2*q + 0 + 0*q**3. Let w(z) be the second derivative of -z**4\/6 + 2*z. Determine w(g(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 36956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2916.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 0*q**4 + 0*q + 0 + 1\/7*q**5 - 1\/7*q**3.\nAnswer: q**3*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2897 + 750. What are the prime factors of s?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/50*6\/(1*-18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/7 - 32*o**4 - 11856*o**3\/7 + 76826*o**2\/7 - 20585*o + 79350\/7 = 0. What is o?\nAnswer: -115, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 7 + 391\/(-68). Factor 1\/4*b**4 - 1\/4*b - i*b**2 + 1\/4*b**3 + 0.\nAnswer: b*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 6:36 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**6\/3 - 2*i**5 + 9*i**4\/2 - 14*i**3\/3 + 2*i**2 - 27. Let a(x) = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*f**2 + 5 + 964*f**3 - 6 - 5 + 5*f + 1 - 962*f**3 to v*f**3 + h + o*f + j*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*c + 19 + 9 = 0, 4*j = -2*c + 20. Solve y + 4*k - 20 = -0*k, 5*k - 28 = -j*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*t - 5*t + 141, -4*t = -2*i + 322. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9) + 22\/33)\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 555264982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 6:24 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61\/4 of a micrometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8216 and 9\/23744?\nAnswer: 24385088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80376720, -160753440, -241130160, -321506880?\n\"Answer: -80376720*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) -6 (c) -1\/2 (d) 0.02 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(34)\/sqrt(2)*-3.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**3 + 60*n**2 - 16*n - 79. Determine s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 3*g + 40. Let r be ((-4)\/10)\/((-3)\/75). What is the tens digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2, -75\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5281 is divided by 113?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*o - 3*h - 2, -o + 4*h + 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.714 - 37.638082. Let t = -0.076 + d. What is t rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v**3 + 244 - 96*v**3 + v**3 - 239.\nAnswer: -146*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -526\/3 + 791\/6. What is the common denominator of l and 49\/((-180)\/(-3)*(-1)\/(-3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 - 9*y**2 - 9*y + 3. Let z(h) = 7*h**3 + 18*h**2 + 17*h - 7. Let v(r) = 5*d(r) + 3*z(r). Calculate v(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:12 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -293236.5385 rounded to the nearest 10?\nAnswer: -293240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bc (base 14) to base 2.\nAnswer: 1000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/4 + 0 + (14 - (-555893)\/52)?\nAnswer: 5, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -1 - (-1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -3*o**4\/2 + o**2 - 2. Find the second derivative of s(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130241344, -260482685, -390724026, -520965367, -651206708?\nAnswer: -781448049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8327846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6069 is divided by 763.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -70. Calculate the remainder when j is divided by (-2 - -4) + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, 3, 7, 12\/13 in decreasing order.\nAnswer: 17, 7, 4, 3, 12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 3. Let h be s(-3). Suppose -h*k + 3 = -2*k. Suppose -8 + 5*y + 6*y**2 + 34*y**k - 98*y**4 + 42*y**3 + 64*y**3 - 45*y = 0. What is y?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26.46 (b) 3 (c) -2\/312669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 297\/10?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73\/2 - 36. Which is the biggest value? (a) x (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 2*n - 162, n = -3*v + 97. What is the greatest common divisor of 144 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11544726*a**5 - a**4 - 2396*a**2 + 10462*a.\nAnswer: -692683560*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46554.201146 - -0.07.\nAnswer: -46554.131146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 43. Let i be f(1). Solve 0 = 36*w - i*w + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - x - 4 = 0, 41*i + 2*x + 20 = 46*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 10. Sort -5, d, -1 in decreasing order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. What is the nearest to 0.2 in -0.3, 3, 2.7, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*s - 5, 5*y - s = -23 + 27. Which is the nearest to y? (a) -1414 (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + 2 - 5 + 2 + (2 + 3 - 4)*(-3 + 1 + 4) - 3 + 5 - 1)*(18*y - 7*y**2 - 18*y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let c = -15 + 22. Let m(b) = -c - b + 7. Let i(s) = -s. Let q(d) = -3*i(d) + 6*m(d). Calculate a(q(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1537740 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-15 + (-7 - (-15 + 9))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1\/9*x**4 - 17*x + 4*x**2 - 10\/9*x**3 + 0. Factor c(y).\nAnswer: -4*(y - 1)*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*s - 12 = -5*s, -4*s = -f + 4. Solve 17*o = -f*l + 21*o - 8, -l + 1 = -4*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13. Let z = -3.3 - -9. Let l = -6 + z. Is n < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = -47*r + 10*r + 931. Sort -1, r, -1\/8, 3 in decreasing order.\nAnswer: r, 3, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295 - 291. Suppose 7*k - 9*k + 6 = -t*u, 5*u = -4*k + 64. Solve k = -5*o + 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1. Let z(j) = -4*j**3 + 3*j**2 - 2*j - 4. Calculate -6*m(h) + z(h).\nAnswer: -4*h**3 + 3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 + 2*t + 2. Let f be d(-4). Let i(p) be the first derivative of p**3\/3 - 7*p - 6. What is the tens digit of i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1502 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/34)\/(16*10\/(-2720)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 14*r**2 - 16*r + 88\/3.\nAnswer: 2*(r - 22)*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 743761 - 743666.0641. Let m = -102.5 + 7.5. Let n = s + m. What is n rounded to 3 dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 10035.\nAnswer: -1\/10035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - 8 - 6 - 20 - 2*b - 3*b + 3*b + (-3*b + 3*b + b)*(-1 - 1 + 0).\nAnswer: -5*b - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-1))\/3 - -1. Let o = g - 4. What is the remainder when (-1 + o)\/((-3)\/16) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/(t**2*t))**(1\/58)*(t*t\/t**(2\/7))**(-4\/17)\/(t\/t**0*t\/t**(-1\/3)) assuming t is positive.\nAnswer: t**(-60593\/20706)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2\/2 - 7*k - 1. Let t be m(10). Solve -3*j + 4*j = -t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/91668 and -67\/36.\nAnswer: 275004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -52965\/1502?\nAnswer: -52965\/1502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 - 5*v + 7. Let s be (-25)\/(-20)*(-2)\/5*0. Let h(n) = -n**3 + n**2 - 5*n - 5. Let l be h(s). Determine k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 905*v - 39810. What is x(44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 108*y**2 - 39*y + 34. What is l(1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159215 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -692, -691, -690, -689, -688, -687?\n\"Answer: l - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*c + 6, c + 2 = 45*j - 43*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 866878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + q**2 - 9*q - 5. Let b(w) be the first derivative of -1\/4*w**4 + 3*w + 5\/2*w**2 + 0*w**3 - 8. Determine -5*b(p) - 3*u(p).\nAnswer: 2*p**3 - 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c*c**2)*c)))**22\/((c**2*c)\/c*c**(-4))*(c**0)**(-5\/12)*c\/(c\/(c*c**8))*c*c**(-1\/4) assuming c is positive.\nAnswer: c**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15157372 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27065, -27406, -27971, -28760?\n\"Answer: -112*m**2 - 5*m - 26948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + 2*s - 1. Let c(n) = -n**2 + n. What is -6*c(d) - y(d)?\nAnswer: -d**2 - 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 1. Let z be 1\/(-5) + (-21)\/(-5). Suppose 2*j = -4*c - 0*c + 6, 36 = z*c - 4*j. Suppose c*a + 0*a = 4. Calculate m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-92)\/(-20) + 1\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 239*t**2\/2 + 37*t + 94. Find the first derivative of s(o) wrt o.\nAnswer: 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 4, -0.5103, -3\/5, -3?\nAnswer: -0.5103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171689 + 171689 + 700*q**2 to the form w*q**2 + b + v*q and give w.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 481 = -3*s - 6*w, s = -2*w + 159. What are the prime factors of s?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/9, -2\/3, -3, 15?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 99660 - 99660.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4776 and 13208625?\nAnswer: 105669000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2752 - 19081. Let k = 25531 + r. Suppose -2*d = -k + 22602. What is d rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/112 and 45\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l + 0*l)*(-3*l**4 - l**4 + 6*l**4) + 3*l**5 + 0*l**2 + 0*l**2 + (-2 - 2*l - 7*l + l**2 + 8*l)*(-2*l**3 + 3*l**3 + 2*l**3).\nAnswer: 8*l**5 - 3*l**4 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + 92\/(-10). Let k = -8 - x. Sort 4, 3, 0, k in descending order.\nAnswer: 4, 3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -745*t**3 + 12*t**2 - 137983*t.\nAnswer: -4470*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b5d8b9 + 4?\nAnswer: -7b5d8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3442962926.9998462 + -3442963718. Let n = -791 - i. What is n rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08658477 plus -0.5481754?\nAnswer: -0.63476017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39990 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12.194496891 + 60\nAnswer: 72.194496891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2059*u**2 - 2*u - 22843 wrt u.\nAnswer: 4118*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 144*j + 2 - 3 - 429*j + 146*j + 138*j. Let s(b) = 2*b + 2. What is -3*c(v) - 2*s(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*d**3 - 1225*d**2 + 10*d - 2117978 wrt d?\nAnswer: -369*d**2 - 2450*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/5 (b) 11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -17 - (234384\/(-360))\/38. What is the smallest value in -0.06, g, 1479?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-49)\/(-42) + (-1510)\/1500)\/((-4)\/(-10)). Suppose 14\/5*n**2 - d*n**3 - 32\/5 - 16\/5*n = 0. What is n?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44849\/2 + 22426. What is the nearest to d in 5\/9, 0.5, 0.2, 9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197540486?\nAnswer: 2, 11, 13, 62791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10273 - 0?\nAnswer: -10273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 101, 268, 501, 800, 1165?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*s**2 - 17*s**3 - 56*s**2 - 188*s + 97*s + 93*s to the form w + k*s**2 + m*s + d*s**3 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*l = 4, -3*l + 24 = 4*h - 0. Solve -5*m = h - 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 = -y, -1 + 8 = s + y. Let t(o) = -2*o**3 - 3*o + 19. Calculate t(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + 6*5*sqrt(117)))*-1)\/(-3*(sqrt(576)*5 + sqrt(576) - sqrt(576)))*-3.\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -860\/209?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3555914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**5 + 33*z**5 - 3*z**2 + 3*z**2 - 10*z wrt z?\nAnswer: 580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2651, -2\/55, 0.9, 6?\nAnswer: 2651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3277438 and 18025909.\nAnswer: 36051818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104179088843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -571232 divided by 11\nAnswer: -571232\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744840?\nAnswer: 2, 3, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45723483 divided by -5.\nAnswer: -45723483\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198354676 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 4. Let d be x(7). Let v(f) = 7*f. Let q be v(d). Let j = 26 - q. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20000 (base 5) to base 4.\nAnswer: 103202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - -1 - 168\/(-24). Let k(d) = 1. Let p(l) = l. Let r(y) = -k(y) + p(y). Let f(s) = 4*s - 1. What is u*r(j) - f(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4736.29 minus -0.093?\nAnswer: 4736.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(125)*-2*-5 + 1*sqrt(125)*5 + 5*(sqrt(125) + 1) + -5)**2.\nAnswer: 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118\/17 + -320\/51. Find l, given that p*l + 4\/3*l**2 + 0 + 0*l**3 - 2\/3*l**5 - 4\/3*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/11)\/n*n*n)**(-2\/31)\/(n\/((n*n**0)\/n)*n**(-1\/2)*n*n) assuming n is positive.\nAnswer: n**(-1781\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.92 - 11296.22956.\nAnswer: -11298.14956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 1, f: 4, r: 4, w: 10}. What is prob of sequence frpf?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 659*h + 1. Let m be g(1). Let c be (274 - 32)\/(209\/570). Are m and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(-6*(-16)\/(-1152)). Solve 0*t + 2*t = -g - 1, 4*t + n = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 598?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856*f**2 - 2140600*f + 2140600*f + 850*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245077 greater than or equal to 2245069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 14*t + 24. Give k(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((380\/(-45))\/((-60)\/90))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14773768601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149715.\nAnswer: 3, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-7)\/7)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**2\/2 - 15. Let n(p) = -2*p + 5. Let k(f) = 9*f - 21. Let j(m) = 5*k(m) + 21*n(m). Give j(i(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from {h: 6, p: 2, x: 3, l: 2, f: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-45)*(-1 + -2). Which is the second smallest value? (a) 2\/9 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 2*q**3 + 0*q**3)*(5 - 9 - 6).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 7*o**2 + 8*o - 2. Let p be l(6). Calculate the greatest common factor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -12.6. Is u > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330 * -91.\nAnswer: -30030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.8089 less than or equal to 198\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:30 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 9:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 - (-3)\/(81\/75). Suppose r*p = 2*p + 1. Let k be ((-600)\/9)\/(p\/(-103500)). What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -11. Let k be (41 - s\/(-4)) + -3. Let m = -34 + k. Solve 3*d - 2*r - 10 = m, 0*r - 6 = -4*d - r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*v**6 - 7*v + 13*v**2 + 14*v**6 + 27*v**6 - 23*v**6 - 145*v**4 wrt v?\nAnswer: -120*v**3 - 3480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4834 = 280*v + 4189 - 2583 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26645 is divided by 8776.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18252*d - 6 = -18248*d + 5*y, 4*y = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 7}. What is prob of sequence dd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**25*(f\/f**(-12\/17))\/f)\/((f\/(f**6*f)*f*f)\/(((f*f\/((f*f**(-5\/4)*f)\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(2037\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2. Let b(j) be the first derivative of -j**4\/12 + 5*j**2\/2 + 6. Let h(a) be the second derivative of b(a). Calculate h(n(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5820692 to the nearest integer?\nAnswer: 2413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - 1520\/3360*42.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:18 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r + 0*r)*(-1 + 0 + 0) - 16 + 16 - 2*r + (6*r - 4*r + 4*r)*(78 + 43 - 45) + (-1 + 6 - 3)*(r - r + 2*r).\nAnswer: 459*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3\/3 + 40*n**2\/3 + 4400*n + 84000 = 0. What is n?\nAnswer: -30, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**2 + 4671*y + 98413. Determine h(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2301 - 1129 - 256*u - 1177)*(4 - 4 - 1).\nAnswer: 256*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 13*a**2 + 12. Let v be g(-13). Let t = -25 + 73. What is the greatest common factor of t and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (18 - (3 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459049882.\nAnswer: 2, 79, 127, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34961*u + 35113*u - 70068*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 543419167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-8)*p\/(p\/(p\/p**(3\/4)))*(p\/p**(-4\/13))\/(p\/(p\/p**(-3))*p) assuming p is positive.\nAnswer: p**(-179\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -22983256 less than -22983238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 52. Let j be x(9). Let s(a) be the first derivative of -j*a**2 - 16*a - 20\/3*a**3 - a**4 + 6. Suppose s(w) = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/(27832\/(-504))*1?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 4191399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/43254 and 35\/243.\nAnswer: 43254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38958229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((1 - 5) + -1 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3148 - -9155. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264681 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -430, 4025, 13376, 27629, 46790, 70865, 99860, 133781?\n\"Answer: o**3 + 2442*o**2 - 2878*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8.0949 + 1.72\nAnswer: 9.8149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*r**3 - 35*r**3 - 72*r**3 + (3*r + r - 3*r)*(4 - 4 + r**2) as n*r**2 + d*r + y*r**3 + o and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.7498 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:01 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-1\/2)\/t)\/t)**(1\/29))**(-50))**(23\/2))**(-30) assuming t is positive.\nAnswer: t**(-43125\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52939 = 4179*q + 22283 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 117 (c) -4 (d) -2 (e) -2\/9 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3352656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 5, -4890?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6264404 to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + (-7 - -12) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30001 - -100?\nAnswer: 30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113171162 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.38 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, 4, 1.1328, 0, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/(-4680)*((-261)\/(-2))\/(15\/20)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1, 4, -157 in decreasing order.\nAnswer: 31, 4, -1, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253491 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/((-38)\/572 + (-10)\/(-55)). Round w to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:59 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 878842, 878844, 878846, 878848, 878850?\n\"Answer: 2*x + 878840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-99) - 5\/15\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7953319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q - 1429. Let m(b) = -5*b - 3. What is k(f) + 2*m(f)?\nAnswer: 2*f - 1435","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 6*c + 7. Let a(j) = j**2 - 2*j + 2. What is -7*a(s) + 2*y(s)?\nAnswer: -3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 6*t + 6*y + 13*y - 66 = -t, 2*y - 6 = -y for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/30 and -11 - (17 - 36949\/1320).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(1\/4))\/u))**(-19\/3)*u**(-9)\/u**(-3\/5) assuming u is positive.\nAnswer: u**(-979\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -330 - 7*j**2 - 576 - 2*j**2 - 2 + 10*j**2 in the form l + a*j + r*j**2 and give l.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2636 - -2635. Put g, 16, -2\/13 in increasing order.\nAnswer: g, -2\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -9, 0.1, 1\/96?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 1. Let m = -11 - -18. What is a(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03205 + 0.33205. Sort -3, 1\/4, 0.5, v, -1188.\nAnswer: -1188, -3, 1\/4, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20902*o - 146086. What is b(-7)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 2\/1250575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7}. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(10\/(-60)). Let r be (-1 - (-20)\/8)\/(l\/(-6000000)). Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:56 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22665866 and -0.55?\nAnswer: -12466226.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194 and 162?\nAnswer: 15714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-202)\/(-36) + (-82929)\/15078\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(24192\/(-5782)) + 2*(-3)\/6 and -107\/96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 33*t**2 + 3*t + 16. Let r be u(16). What is the least common multiple of 110 and 1266\/21 + (r\/56 - 6)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7255 divide 79340680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d - 3. Let g(w) = w**3 - 13*w**2. Let l be g(13). Suppose -b - 2 + 4 = l. Put d, b, 4 in increasing order.\nAnswer: d, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*l + 9*l - 14, 5*l - 12 = -3*v. Let t(g) = g**2 - 10*g + 21. Let m be t(l). Which is greater: -2\/65 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1663, 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Suppose 4*d + 9 = 2*n - 3, o*d = -12. Suppose 6120000 = -2*a - n*a. What is a rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141316 divided by -343.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 2, z: 5, c: 1, b: 2, g: 2}. Give prob of picking 1 b, 1 h, and 2 z.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77)*3))*2)\/(sqrt(396)*-1 - sqrt(396)) - (5*(sqrt(7)*-2 + -5) - ((sqrt(63)\/(sqrt(9) + sqrt(9)*1))**2 + 2)).\nAnswer: 125*sqrt(7)\/12 + 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/5)*z)\/(z**0\/z))\/(z\/(((z*(z*z**(8\/7)\/z*z*z)\/z)\/z)\/z*z)*((z**(2\/29)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(5962\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l + 16. Suppose h - 2 = -3*m, -2*m + 5*h = 2*m + 10. Is 4 a factor of d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3716943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(8)\/sqrt(2)) + (-4*sqrt(468))**2.\nAnswer: sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z**2 - z + 2. Let l(g) = -2. Let n = -87 + 86. Let d(y) = n*l(y) - f(y). Let t(q) = -2*q**2. What is t(d(o))?\nAnswer: -450*o**4 - 60*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 991470 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 152. Let d be x(72). Solve -6*w - 2*w - d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -1740, -7154, -18496, -37938, -67652?\nAnswer: -109810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10260 and 337440?\nAnswer: 3036960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -38710 divided by -38710?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j - 3*j. Suppose 0*b - j*b = -24. Let f(t) = -3*t + 8. Calculate f(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3073 (base 8) to base 13\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*p = -5899 - 2118 - 4257 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 22*k = -45*k. Put -27, 37, 3, 4, k in decreasing order.\nAnswer: 37, 4, 3, k, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4759758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(527\/93)*-85\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.72338us to milliseconds.\nAnswer: 0.05372338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29952313139 - -0.5.\nAnswer: 29952313139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144 - 34 - 227*f**4 + 431*f**4 wrt f.\nAnswer: 816*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45245015 (base 6) to base 10\nAnswer: -1374851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130133153 + -4?\nAnswer: -130133157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8091 is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15265, -30520, -45775, -61030, -76285?\nAnswer: -91540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1546628 and 995?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 1:05 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*a + 24*a - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + -4 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -695.60393 to the nearest integer.\nAnswer: -696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uycycyyuycc. Give prob of picking 1 y, 1 c, and 1 u.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -56, -122, -190?\n\"Answer: -q**2 - 61*q + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 5*d + 5. What is v(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = 1. Suppose -5*x - d + 144 = 0, 8*x = 4*x + o*d + 100. Suppose 4*c - 4*r - x = 0, 6*r + 5 = 5*r. Solve 1 = c*m - 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvkvvv. What is prob of picking 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 135054 >= 135312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/6*(-39)\/26. Let i(d) = 13*d + 2*d**2 - 3 - 26*d + 7*d - n*d**3 + 7*d. Let b(p) = p**3 - p**2 - p. Give -2*b(z) - i(z).\nAnswer: 2*z**3 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161\/5 or 1?\nAnswer: 161\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r*r*r)**(-23)*r**(-4\/5)\/(r\/r**(-2\/41)))**38 assuming r is positive.\nAnswer: r**(-1089422\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4531 - 4522. Put v, 0, 16, -3 in increasing order.\nAnswer: -3, 0, v, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 2\/3 (b) 0.4 (c) 1\/6 (d) 3 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72\/5 of a kilogram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*d - 2*d**3 + 185*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 10121434?\nAnswer: -10121430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - a5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -328*z + 37*z - 102*z - 232*z - 710*z. Let o(n) = 12*n**2. Give w(o(r)).\nAnswer: -16020*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**39*x**(1\/4)*x**(1\/5)\/x**13 assuming x is positive.\nAnswer: x**(529\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 57 + 2 - (-7 - (-12 + -12 + 28)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182 + -340. Let p = k + 1883. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 11, 58, 147, 290, 499, 786, 1163?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)\/(((-130)\/(-4900))\/13). Suppose n - x = -276. What are the prime factors of n?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 64, 111, 188, 307, 480?\n\"Answer: 2*g**3 - 3*g**2 + 24*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71824 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18637 divided by -206.\nAnswer: -18637\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6963021*c**2*r + 6*c*r + 3942*r + 11541 wrt c.\nAnswer: -13926042*c*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 13 = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 23*l**2 - 15*l - 161. Determine k(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -41*p + 4266. Give y(62).\nAnswer: 1724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -93*y - 182. Let d be p(-2). Factor 9\/5*i**2 - 12\/5*i**3 - 12\/5 + 12\/5*i + 3\/5*i**d.\nAnswer: 3*(i - 2)**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141567198\/5 or 28313440?\nAnswer: 141567198\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17444, 17454, 17464, 17474, 17484, 17494?\n\"Answer: 10*n + 17434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 15051*p - 15045*p + 30107*p + 1.\nAnswer: 11*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*g**3 - 241*g**2 + 947*g**2 - 231*g**2 - 236*g**2 - 239*g**2.\nAnswer: -334*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -104?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Suppose 5*p - 9 = u*l, -p = 2*l - 9 - 0. Suppose l = 2*i + 1. Solve r + i = 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(2\/29)))\/l)**15 assuming l is positive.\nAnswer: l**(-465\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i\/i**(2\/19))*i)\/i)\/i)\/(i\/i**(-2\/15)*i))**27)**(-12\/5) assuming i is positive.\nAnswer: i**(93204\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 12 = -12*s + 2*k, 5*k = 2*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 11:30 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2877)\/1225 - 670\/469?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 152 (c) -8 (d) 0.2 (e) 5 (f) 0.151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1431 - 1425. Which is the third smallest value? (a) -48 (b) d (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369881829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56\/15, -1, 0.3, 29, 25?\nAnswer: -56\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 9.5. Let s = g - -4. Let f = -1 - -6. What is the third biggest value in -4\/5, s, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 39*t - 115. Let f be h(3). Suppose 0 = 2*o - 5 - 5. Solve m = -2*b + o, -f*m - b - 5 = -2*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:29 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.11505*-3\nAnswer: -0.34515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 19 = -7*b, 0 = 2*j - b + 338 - 329 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 - 225985*s**2 - 34464*s + 4?\nAnswer: 24*s**2 - 451970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 8*v + 8. Let z be l(10). Is z at most as big as 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 46, 82, 144, 238, 370, 546, 772?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193517\/8512 + 432\/19. What is the common denominator of 59\/320 and p?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-6)\/(-8) + -1). Suppose -3*g + 0*g - 118 = -2*c, -g + u = 0. What is the remainder when 128 is divided by c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -26*j + 17*j. Suppose -5*i = -s - j*i + 2420, 4*i = -4*s + 9712. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7893.59 millilitres in litres?\nAnswer: 7.89359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7734016064 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 = 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 25*b + 1. Let p be q(1). Let x = 24 - p. Let y be (-20)\/3*6\/(2\/x). Calculate the highest common divisor of y and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.2, 0.1, 0.3, 48 in descending order.\nAnswer: 48, 0.3, 0.1, -0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/7 + 18*v\/7 - 24\/7 = 0. What is v?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + sqrt(325) + 1*sqrt(325) + -1 + sqrt(325))*-2.\nAnswer: -30*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.00474 + -0.00474. Which is smaller: m or 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 8, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -b - 15, -2*h + 2*b = -7*h + 15. Suppose -p = -h*p + 12. Suppose -k + p*k + 1040 = 0. Round k to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 847. Let c(p) = -12*p - 6*p - 25*p + 44*p. What is c(a(w))?\nAnswer: w**2 - 847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {n: 14, l: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/((-78)\/(-13)))\/((-1)\/(-4)). Let k(g) = 9*g**3 + 2*g**2 - 4*g. Let f(y) = y**3 - y. Give t*f(j) + k(j).\nAnswer: 5*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -990*n + 13563. What is b(12)?\nAnswer: 1683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/4 - 4*t**3 + 3*t**2\/4 + 23*t\/2 - 8.\nAnswer: -(t - 1)**2*(t + 2)*(t + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8687 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 85*g**2 - 9*g + 44. Let b be v(4). What is the greatest common divisor of b and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4766 less than or equal to -4763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4216*s**2 - 2*s**3 - 3999*s**2 + 8208*s**2 - 76.\nAnswer: -2*s**3 - 7*s**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 10:00 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**3 - 7\/2*g**2 + 53 + 10*g. What is the first derivative of k(q) wrt q?\nAnswer: -6*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 293 = s - 4, -5 = -5*s. Calculate the remainder when 85 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*s**2 + 82*s + 787*s**2 - 286*s**2 - 2 + 5.\nAnswer: 121*s**2 + 82*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f - 2*f + 0*f + 4*f + f**2. Let k be o(7). Suppose 3*l - 3*z = -k + 9, 5*l - 4*z - 16 = 0. Calculate the least common multiple of 9 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 0*b + 5*b**2 - 5 - 32 + 8*b - 9*b.\nAnswer: 5*b**2 - b - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -122051, -244103, -366155?\n\"Answer: -122052*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 + -140.7. Let j = 1.09 + b. Is -1\/4 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1\/5))\/(v**1\/v))\/(v**0)**(-17) assuming v is positive.\nAnswer: v**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*i + 26, -5*x - i - 764 = -767 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2\/4 + 1453530*k + 704249820300 = 0.\nAnswer: -969020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87*((-4)\/18 + 4487\/63)?\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2051\/2 - -1026. Which is the nearest to -1? (a) 3\/2 (b) -6 (c) 1\/4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(8) + -6*(sqrt(2) + -1))**2.\nAnswer: -192*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 6*w - w. Let v(a) = a**2 - 2 - 4 - 2. What is v(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8875 - -8880. Solve 2*n + 22 = -4*i, 17*n = 14*n + m*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 27 - j + 21 to the form z + v*j and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 38 - 81 + 42 + 8*s - 5*s**2 + 7*s**2 + 5*s**2. Let x(y) = 6*y**2 + 7*y - 1. What is 5*o(n) - 6*x(n)?\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750 and 590500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2324 + 40652*m + 43081*m - 6348 - 82045*m with respect to m.\nAnswer: 1688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-33)*(4 - 7). Let g be 1\/7 - (-1312)\/(-21). Let v = 63 + g. Put 2\/5, v, i in descending order.\nAnswer: v, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 279*z**3\/5 + 8649*z**2\/5 - 89373*z\/5.\nAnswer: 3*z*(z - 31)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1011111001101100101?\nAnswer: -1011111001101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 160 = -8*k + 26*k, 4*d = 4*k + 11 + 37 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-2)*3\/3*825\/275.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 + i**3 - 2*i**3)*(-3 + 7*i - 6*i + 4) to the form b*i**2 + l + z*i + v*i**4 + j*i**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5992*z**5 - 412*z**4 - 3*z + 797918 wrt z?\nAnswer: 119840*z**3 - 4944*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000727072893 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*m**3*r + 19*m**3 + 2*m*r + 31*m + 8 wrt m.\nAnswer: 198*m*r + 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*w - 12, -3*w - 94 + 58 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6861 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-90)\/36*(-2)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161167 by 161167.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 875742 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0303 + -21.2697. Let c = -237097 - -237118.30139. Let a = c + s. What is a rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - 47 - (15 - -2) - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 767. Let x(g) = g + 381. Determine -2*l(d) + 5*x(d).\nAnswer: 3*d + 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 13*l + 75. Calculate m(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(117) + 3 - (sqrt(117) + sqrt(117) + 0 + 1 - (sqrt(117) + 0 + -2)))**2*5.\nAnswer: -480*sqrt(13) + 9440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7078204 or 7078246?\nAnswer: 7078204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.311885144 rounded to two dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**6\/180 + 7*n**5\/20 - 11*n**4\/6 + 35*n**3\/3 + 20*n. Let v(w) be the second derivative of g(w). Factor v(q).\nAnswer: 2*(q - 1)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 1.7. Put -5, y, -4\/9 in decreasing order.\nAnswer: y, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.6 or -834.537?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -22. Let h = 19216 - 96923\/5. Let x = h + 168. What is the second smallest value in b, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 7*k**2 + 12*k - 1. Calculate the remainder when 80 is divided by y(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 20) + (13 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(5\/2)*((t*t**(-5))\/t)\/t*(t**(-3)\/t)\/(t\/t**(1\/3)) assuming t is positive.\nAnswer: t**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a + 110 + 70. Is a greater than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 140\/30*(-36)\/24\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 + 3220 = -42*q + 1041 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v**2 - 28*v - 34. Let u(y) = 36*y**2 + 80*y + 102. Let n(g) = 4*u(g) + 11*z(g). Give n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9))\/(24\/15*(1183695\/92)\/141)?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2. Let u be (-1)\/((1 - 4)\/(-6)). Let d be z(u). Let k = 1 - 0. What is the nearest to 0 in 0.3, d, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*20\/110*(-1)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2*b**3\/3 + b**2 - 4*b + 9. Suppose h(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {x: 2, u: 10, k: 2, d: 1, i: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s - 1. Let k(y) = 5*y**2 - y + 7. Let b(i) = k(i) + 4*x(i). Let m be b(-3). Suppose m*c - c = 110. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23868 is divided by 107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/264*81\/(-63).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*r + 26 = 0, 4*t = -0*r - 4*r + 32. Suppose 5*j = -b + 67, 0 = j + 4*b - 7*b - t. Suppose 14*l - j*l = 53. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 710 = 752. Let g be (-133)\/(-49) - (-12)\/42. Calculate the greatest common factor of g and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -15. Let h = 5 - u. Let q = 9 - h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*u**4 + 243*u - 243*u)*(1 + 2 + 2).\nAnswer: -185*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*o - 157*o + o**3 + 444*o - 137*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379\/13 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -20*g**3\/3 + 21*g**2\/2 - 53*g. What is the derivative of n(v) wrt v?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/2, 5, -2\/17, -12?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5334504 (base 9) to base 8\nAnswer: 12714620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -288564988.1 rounded to the nearest one hundred thousand?\nAnswer: -288600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77304362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 20. Let l be 1400\/12 - (-15)\/45. Calculate the highest common factor of l and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(832) + 2 + sqrt(832) + -2 + sqrt(832)*2 + sqrt(832))*-4)**2.\nAnswer: -1280*sqrt(13) + 332816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:58 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 + 280*i**4 + 17*i**3 + 70*i**2 + i + 381 wrt i?\nAnswer: 120*i**3 + 6720*i + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 626\/7, -51, -9, 4 in descending order.\nAnswer: 626\/7, 4, -9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 8*c**3 - 6*c**2 + c**3 + c**3 + c + 7*c**3. What is x(-8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -208 - 65) + -106.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*6 + sqrt(130))\/(sqrt(90) + sqrt(90)*2 - sqrt(10)).\nAnswer: 13*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23342716.\nAnswer: 2, 19, 101, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 0.45. Which is the smallest value? (a) -1\/3 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1324*l - 10562 - 60404 = 12446. Let i = -25 + 81. Calculate the greatest common factor of l and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:51 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -99. Let h = l + 91.8. Put 0.2, 0.25, h in descending order.\nAnswer: 0.25, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4845 and 3135.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 4*y**2 + y**3 + (2*y - 4*y + 0*y)*(-4*y**2 + 3*y**2 + 3*y**2) + y**2 - 2*y**3 - y**2 - 17*y**3 + 5*y**3 - 14*y**3.\nAnswer: -31*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:38 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*-2 - 6*(-1610)\/7176.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*m - a, -769*m - 52 = -772*m + 4*a. Put -19, m, -13 in increasing order.\nAnswer: -19, -13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 t, and 1 r when four letters picked without replacement from qqtqtjqqqqtqrqtyjjj.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1437482?\nAnswer: 14374820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-1421499.\nAnswer: -184794.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 420\/80)*168\/(-33)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31412 (base 7) to base 8\nAnswer: 17107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 25*t - 105 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s + 17 - 17)*(0 + 2*s + 0) + 0*s + s - 115*s**2 - 19 + 116*s**2.\nAnswer: -15*s**2 + s - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16566207290 - -5?\nAnswer: 16566207295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 4*h + 4. Let f be j(-1). Sort -2, -8, f in descending order.\nAnswer: -2, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/2? (a) -144 (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 6. Let f = -280 - -279. Let d = -3.94 - 0.06. Which is the nearest to -2\/9? (a) f (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (460\/46)\/(50\/140).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -355, -476, -651, -898, -1235, -1680, -2251?\n\"Answer: -3*g**3 - 9*g**2 - 73*g - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 208530900*r**2 + 208530905*r.\nAnswer: -5*r*(r - 1)*(r + 41706181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 16672*j + 348348.\nAnswer: 4*(j - 4147)*(j - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3018?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176.93 + -176. Let l = -1 + j. Round l to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -765 - 7?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -76433 smaller than -76681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 43, 72, 133, 238, 399, 628, 937?\n\"Answer: 2*s**3 - 2*s**2 + s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119689\/33 + 3627. Let v be ((-1)\/(-2))\/((-4)\/(-720)). Let j be (-3)\/15 + (-2)\/v. What is the second smallest value in -1, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 24. Let g be 297\/(-1045) - 3\/(-5). Which is the biggest value? (a) g (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272246.9mg to tonnes.\nAnswer: 0.0002722469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9563?\nAnswer: 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9)**34 assuming l is positive.\nAnswer: l**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 33216*d**3 - 68989624*d**2 + 137879616*d - 68923204.\nAnswer: -4*(d - 4151)**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -14, -7, 0.4, 17, -10.8 in decreasing order.\nAnswer: 17, 12, 0.4, -7, -10.8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1556 (base 11) to base 3\nAnswer: 2201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2768.\nAnswer: 13840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498 + 498.01. Which is the second smallest value? (a) -2\/7 (b) -3 (c) i (d) 4 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14149658 and 169795896.\nAnswer: 169795896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.445 + -1589?\nAnswer: -1514.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1189394\/17 smaller than -69964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - -3.85. Let y = z + -2. Which is the third smallest value? (a) -2\/11 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let u(a) be the second derivative of 0 + 0*a**3 + 3*a - 1\/12*a**4 + 5\/2*a**2. Let p(n) be the first derivative of u(n). Give z(p(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2550, 2453, 2356, 2259, 2162?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 6\/(-6)*(1 + 0). Suppose z = -u - 4*u + 25. Factor -u*d**3 - d + d + 9*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1305 + 58099.12288\nAnswer: 56794.12288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*h**3*o - 2884*h**3 - 22*h**2*o + 107*h*o + 18726*h - 2*o + 2 wrt h?\nAnswer: -240*h*o - 17304*h - 44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -9) + (-3 - -6). Suppose 0 = -o*l + 5*l + 1904. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-9))\/((-64)\/48*(-12)\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 194451\/9 + (-9)\/(-27). Let s(u) = 21608 - b + u. Let i(l) = -24*l**2. Give s(i(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4983.76 - -6.53326773.\nAnswer: -4977.22673227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a - 74. Give p(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 0*c)*(-5*c**4 + 0*c**4 + 2*c**4) - 2*c**3 + 2*c**3 + c**5 + (4*c**2 - 5*c**2 - 2*c**2)*(0*c**3 - c**3 + 3*c**3).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 61. Sort 3, f, -1.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - (-50)\/6. Calculate the greatest common factor of 12 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twtp when four letters picked without replacement from wtotp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -435 + 445. Suppose -x*c + 113 = 73. Suppose 2*s = 3*s. Solve -7 = 4*t + j - 25, s = -5*t - c*j + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:21 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5192 = 245*i - 999 + 3200 - 5339 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12320 is divided by 4097.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - h - s = -3*s, 4*h - 3*s = -0*s + 4 - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318791048.\nAnswer: 2, 3, 17, 47, 97, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 637200 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 hundred thousands digit of 20581330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 46*f**2 + 3*f - 5. Suppose 13 = 4*x + 5. Is s(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:32 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 362, 4, -189, -5, 3, -3 in increasing order.\nAnswer: -189, -5, -3, 3, 4, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/5))**(-1\/21)*((l\/((l*(l**(-2\/3)*l)\/l)\/l))\/l)**(-3\/5))\/((l**1)**26*(l*(l\/((l*l**1)\/l*l*l))\/l)**(-33)) assuming l is positive.\nAnswer: l**(-1387\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -58*z**2 - 3*z. Let m = -3853 - -3854. Calculate y(m).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.134 - 0.576. What is k rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10808418, -21616843, -32425270, -43233699, -54042130?\n\"Answer: -k**2 - 10808422*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w - 9. Let s(i) = -2*i - 4*i + 8 + i**2 + 4*i. Let n = -19 - -22. Let v(t) = n*l(t) + 4*s(t). Calculate v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 26803.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(95\/(-45) + 2). What is the greatest common divisor of c and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334556940 a multiple of 7145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/669 + 7594\/2007. Factor g*w - 4\/3 - 14\/9*w**3 + 32\/9*w**2.\nAnswer: -2*(w - 3)*(w + 1)*(7*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 6, 0*n - n + 3 = -2*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*m + 175*m + 3 - 46*m - 217*m**3 - 2*m**2 - 89*m to y*m**3 + z + w*m + p*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Let o be (8\/(-1))\/(c - 2). Solve -l + 2*t + 3 = -2, o*l + 15 = t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1403 = z - 4*g, 537 = 4*z - g - 5105. Suppose -1869 = -10*k + z. Suppose -5*s = -s - k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 20. Give l(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/6*(-735)\/10. Let s = -279 + c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 69, 3, 2, -4046, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/((-459)\/(-126)) + 66\/(-10) + -6.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 215. Determine t(-16).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2458 + -2334. Let t be (-3)\/(-1) - 2 - 79. Let h = t + 120. Calculate the remainder when w is divided by h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 93*f + 92*f + 6*f**2 - 6*f**2.\nAnswer: 4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.3 + -9. Let j = -32 + 35. Let k = f - j. Put 0.2, 2\/5, k in decreasing order.\nAnswer: 2\/5, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 + 441. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19537164.\nAnswer: 2, 3, 397, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r + 23. What is the remainder when 115 is divided by p(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546954.\nAnswer: 2, 3, 91159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1988, -3977, -5966, -7955, -9944, -11933?\nAnswer: -13922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -51, -102, -193, -336, -543, -826?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or 0.8?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 bigger than -2141.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37289 by 423.\nAnswer: 37289\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 + 170*u - 600 = 0. Calculate u.\nAnswer: 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 173*t**2 + 5*t + 16. What are the prime factors of n(-3)?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 2*u + 5, 0 = l + 2*u - 3. Sort -7, 1, l in decreasing order.\nAnswer: l, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1812 and 83177142?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, -60897, -27 in descending order.\nAnswer: 151, -27, -60897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4957 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a331 + 1b9?\nAnswer: -a156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 3\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 4*m - 3*m)*(0*m + 3*m - 2*m)*(2668 - 1337 + 149*m - 1332) in the form a*m**2 + l + v*m + r*m**3 and give r.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from wwjkgkgkkjhg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/15))\/(s\/s**(-2\/15))*((s\/(s**(-1\/5)*s))\/s*s)\/(s\/s**(-2\/9))*(s**(-3)*s*s**(-2))\/(s\/s**(2\/5)*s\/s**(-2\/5)*s) assuming s is positive.\nAnswer: s**(-361\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (4\/10 + (-3870)\/50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**6\/15 - 187*m**5\/5 - 5*m**3\/6 + 32*m**2 - 15*m - 9. What is the second derivative of s(r) wrt r?\nAnswer: -24*r**2 - 4488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 1, e: 1, d: 1, k: 1, o: 1}. What is prob of sequence obb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 20*c**2 - 18*c - 9. Let u be h(13). Suppose a = -3*a + u. List the prime factors of a.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576.1761g to nanograms.\nAnswer: 576176100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2 - 10 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -56.2?\nAnswer: -730.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101516029 is divided by 91.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16458, -65424, -147002, -261192?\n\"Answer: -16306*h**2 - 48*h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, 0, 19, 0.01, 0.16, 5, 115?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 30, -2, -23, 301, 1 in increasing order.\nAnswer: -23, -4, -3, -2, 1, 30, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*x + 89*x - 301*x + 35*x + 55*x + 73*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*k)*(0 - 4 + 3) + 1 - 3*k - 1 + 0 + 2*k + 0 + (-5 + 0 + 3)*(-k + 2 - 2).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Let v = 82 - 80. Suppose 5*z + 28 = 2*r + 4, -z + v = 3*r. Solve -r*f = -f - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -9, 5\/3, 1\/8, 3\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 + l. Let p be h(1). Suppose -p = -5*k + 4. Solve 3*o = 5*u + 15, 0*u - 2*o = -k*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-38)*4\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 81.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(931) - (sqrt(931) - (-3 + (sqrt(931) - sqrt(931)*3)))))**2 + (1 + sqrt(931) + -2 + -4 + -2 + sqrt(931))**2.\nAnswer: -56*sqrt(19) + 7522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + y**4 + 3*y + (-y - 7*y + 4*y)*(-1 - y**3 + 1) + 0*y**4 + 4*y**4 - 6*y**4 + (-3 + y**3 + 3)*(y - 8 + 8).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 d when three letters picked without replacement from duwppnwddpdpdduw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/9*((-6)\/(-20))\/(99\/165).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -626, -602, -578, -554?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187293\/38159 + -3\/3469. What is the closest to 4 in -1\/5, 1, 1\/8, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/5 - 26*t**3\/5 + 12267*t**2.\nAnswer: -t**2*(t - 235)*(t + 261)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3198 divided by 137\nAnswer: 3198\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.54 - -5.54. Sort -0.4, -2\/9, o.\nAnswer: -0.4, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 less than 0.08?\nAnswer: -36.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 18*w**2 + w + 4. Determine h(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 4)*(-8)\/(-320)*-2. Let p = -2 - 2. Which is the third smallest value? (a) -1\/2 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i - 300. Let s(f) = 8*f - 240. Let d(t) = 5*s(t) - 4*y(t). Let c(a) = 0*a**2 + 6*a**2 - 3*a**2. What is c(d(g))?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21158*j**2 + 396*j + 5676571 wrt j.\nAnswer: 42316*j + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**2\/2 + 221131*x\/2 - 12285.\nAnswer: -(x - 24570)*(9*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159389866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1)*q)**(3\/5)*(q\/(q*q**2))**23)\/((q*q*q*q**(2\/17)*q)\/q**2)**(-44) assuming q is positive.\nAnswer: q**(4112\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434411870?\nAnswer: 2, 5, 109, 398543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - d + 2*d = -9, r - 5*d = -9. Suppose -z = -r*z. Let g = z - -2. Which is the nearest to -1? (a) -1 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-35))\/(((-39)\/10)\/13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 2. Let c be o(3). Suppose 0 = c*d + 2 - 42. Let y = 36 - 18. What is the lowest common multiple of d and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190184*k**4 + 185*k**2 + 797*k?\nAnswer: 4564416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, r: 9}. Give prob of picking 1 p and 1 r.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 637329409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) 1\/2 (c) 0.2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 73259.71 weeks?\nAnswer: 44307472608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -264539, -264519, -264459, -264353, -264195, -263979, -263699?\n\"Answer: x**3 + 14*x**2 - 29*x - 264525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 39*v**2 + 2*v - 5. Let h(b) = 59*b. Give h(a(i)).\nAnswer: 2301*i**2 + 118*i - 295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 307680414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooeeeooo. What is prob of sequence eooe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1664 + 210802295.\nAnswer: 210803959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eepe when four letters picked without replacement from {e: 7, p: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -3)*(-4)\/6. Suppose -x*w - t - 9 = 0, 5 + 10 = -3*t. Is ((-35)\/(-20))\/(w\/(-16)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let p(x) = 4*x. Let n be p(-4). Let a(d) = 56*d**2 - 16*d - 16. Let r(u) = -11*u**2 + 3*u + 3. Let b(q) = n*r(q) - 3*a(q). Give z(b(h)).\nAnswer: -128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2525 is divided by 205?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -i + 6*q - 4*q, 0 = -5*q + 15. Suppose 2*z = -b + 2*b + i, -z + 19 = -b. Calculate the least common multiple of z and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**3 + 22 - 22 + (-58*s**2 - 463 + 463)*(2*s - 7*s + 3*s).\nAnswer: 108*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 8. Let t be ((-5)\/m)\/((-2)\/(-9)). Factor 1 + 1\/2*k**2 - t*k.\nAnswer: (k - 2)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b - 15239*u + 15243*u - 40, 3*b + 3*u = 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 4*h**2 - 11*h + 4. Suppose -4*j = 4*c - 8*j - 12, -j - 12 = -4*c. Let l(z) = 2*z**3 - 3*z**2 - 10*z + 3. Calculate c*r(k) - 4*l(k).\nAnswer: -2*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 65.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2025*n**5*y - n**4*y + 70*n*y - 2*n + 4*y wrt n?\nAnswer: 40500*n**3*y - 12*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/3))**(-2\/89)\/(u**2)**(-12))**(-2\/3) assuming u is positive.\nAnswer: u**(-12800\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * -0.108\nAnswer: -0.02592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -93 - 192. Suppose 4*i - v = -c, 3*c + c + 3*i - 380 = 0. What are the prime factors of c?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 + 1 + 0*q**3 - 11*q**2 + 12*q**2 - q)*(-95 - 87 + 184) in the form f + h*q**2 + l*q**3 + j*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7425351 nanometers?\nAnswer: 0.0000000000007425351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 - -643. Let s be 2\/(-18)*(-5 + -1). Which is the smallest value? (a) 0.2 (b) s (c) -1\/2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from fkcwwbt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 31722\/27)\/(228\/82). Let m = -8055\/19 + x. Find the common denominator of 83\/4 and m.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)\/(d*d**(2\/9)*d*d*d))**(-4\/33) assuming d is positive.\nAnswer: d**(1904\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = 19*x. Suppose x = 14*i - 10*i. Find the common denominator of -15 and -14 + 15 + ((-44)\/(-6) - i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 5*t**3\/3 - 7*t**2\/2 - 17. What is the second derivative of q(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.0469167713727.\nAnswer: 2.0469167713727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 330597?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -219176.2 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-18 + 14 - (-1 - -1)) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77244 minus -1600.3847?\nAnswer: -75643.6153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*n - 32 = 0, 257*n = -2*v + 255*n - 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*o - 54*o = -2648*o - 55344 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -2077*s**3 + 11*s**2\/2 - 10*s - 11. Let v be g(10). Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 5*j - 13. Determine y(-4).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 30432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 - 0.9. Let r = y + -1.2. Which is the second smallest value? (a) 0 (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3)*9)\/((-1)\/(-2)) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*i = 10 - 30, 5*l = -5*i - 20. Solve -4*d - 16 = -4*x, l*x = 4*x + 5*d - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 7*k. Let s be g(-7). Suppose 5*r - 10 = -s*r. Find the third derivative of x**2 + 3*x**r + 3*x**3 - 2*x**2 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 + 0.2100212. Round u to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 2*c + 6. Let s(k) = k**3 - 3*k**2 - 3*k + 7. Give -5*l(u) + 4*s(u).\nAnswer: 4*u**3 + 3*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 2. Let x(o) = -o + 2*o - 3 + 3*o. Let c(l) = 6*w(l) + 5*x(l). Let s be c(3). Calculate the greatest common divisor of s and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5219979*i**3*p**3 + i**3*p**2 + 352600*i**2 wrt p.\nAnswer: 31319874*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 383 = 4*g + 70, g + w + 117 = 0. Let q = 141 + g. Calculate the remainder when 79 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568395169.\nAnswer: 3, 95125747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 10*k**2 + 2*k**3 - 3 + 8*k + 0*k**3. Let u be w(-9). Suppose u*t = t + 100. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6704 and 37152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 2*c**2 + 2. Let v be g(2). Let f = 4516.8 - 4517. Put f, -2\/17, v in decreasing order.\nAnswer: v, -2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4893*h - 22304 = 4621*h for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 - 10*c**4 - 418*c + 418*c + (3*c**2 - 3*c**2 + c**3)*(11*c - 23*c + 10*c) in the form z*c**4 + k + b*c**2 + j*c**3 + r*c and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -2*4\/8. Suppose -h*x = 0, 2*x - 5*x = -p - 119. Let b = 556 + p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*i**2 + 4 - 7*i**2 - 3 in the form x + b*i + d*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 585. Calculate the greatest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**3 + 5*n**2 + 46*n + 5. Let i(f) = 6*f**3 + 4*f**2 + 43*f + 4. Give -5*i(p) + 4*r(p).\nAnswer: 2*p**3 - 31*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 829 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1081*v + 1. Let j(w) = -2*w**2. What is j(c(g))?\nAnswer: -2337122*g**2 - 4324*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 52 = 14*a - 222, 209*a - 204*a = 5*q + 150 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16\/(-24) + 4\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**3*q**5 - 3*h**3*q - 6*h**2*q + 3*h*q - 7*q**5 wrt q.\nAnswer: -140*h**3*q**3 - 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 11*j - 12 = 0. Sort j, 2, -2 in ascending order.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7007065, 7007002, 7006939, 7006876, 7006813, 7006750?\nAnswer: 7006687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -24. What is the remainder when d is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*(560\/15)\/16*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.8. Let o = -225.9 + 226. Let w(s) = -10*s + 6. Let a be w(0). What is the closest to a in o, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33843 + 33853 + 33842 - b**2 - 101538.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 171290112 divided by 192\nAnswer: 892136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5580.31m in millimeters?\nAnswer: 5580310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let t(f) = 311*f - 327*f - 1 + 1. Give a(t(i)).\nAnswer: 256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -381195137933 and 0.2.\nAnswer: -381195137932.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 268042513 to the power of 1\/2, to the nearest integer?\nAnswer: 16372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 + 85*v**3 - 77*v**3.\nAnswer: 8*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctiieiqiti. What is prob of picking 1 c and 3 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1059, 4124, 9239, 16410, 25643, 36944, 50319?\nAnswer: 65774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2165\nAnswer: -3\/2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*l + l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 1, 0, 646, -10 in ascending order.\nAnswer: -148, -10, 0, 1, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 16. Suppose -g = 3*c - t, -4*g - c + 15 + 65 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 - 80. Calculate the highest common divisor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 12. Suppose -4*c = 3*p - 15, -5*c + 3*p - m = -16. Let v be 0\/(-1) - -3 - c. Sort -3, 3, v in descending order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -184, -615, -1458, -2851, -4932, -7839, -11710?\nAnswer: -16683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-71)\/(2627\/111)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*y + 155, 6 + 32 = 2*y - 4*d. Calculate the lowest common multiple of y and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {f: 2, g: 1, d: 1, b: 1, u: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 - 1\/300*w**6 - 15*w**2 + 0*w + 0*w**4 + 1\/50*w**5 - 4\/15*w**3. Suppose q(m) = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/12, -16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**8\/13440 - d**7\/1680 + d**6\/480 - d**5\/240 - d**4\/24 - 3*d**2. Let w(i) be the second derivative of c(i). Factor w(v).\nAnswer: (v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21367, -21368, -21369, -21370, -21371?\n\"Answer: -j - 21366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/20 - 22*(-1)\/5. Let q = 39 - t. Let a = -30 + q. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 3, n: 3, d: 4}. What is prob of picking 2 d and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 26. Suppose -7*g + 25 = -4*g + 5*y, -21 = -5*g + 2*y. What is i(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -107646.23.\nAnswer: -107650.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 5*a - 6. Let g(h) = -2*h - 27*h**2 - 5 + 25*h**2 - 2*h. Determine 5*g(q) - 4*k(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 2*k + 5. Suppose 0 = b - 5*b - 16. Let c be y(b). Let n = -2 - -2. Sort n, 5, c in descending order.\nAnswer: 5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beveeerenecevee. Give prob of sequence rcnb.\nAnswer: 1\/32760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 60*u**2 + 8*u - 63. Give j(30).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 2}. What is prob of sequence lklk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -4746?\nAnswer: -4751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*k + 82 = 0, 0 = -g + 5*k + 33 + 12. Let x = -84 - -59. Let t = 39 + x. What is the remainder when g is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = 1. Suppose -h*q = q - 15. Let c(f) = -f**2 + 9*f - 6. Is c(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24736760 divided by 4947352\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636195785.\nAnswer: 5, 107, 1189151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 16*m + 6. Let z(b) be the first derivative of 5\/2*b**2 + 2*b + 2. Let w(d) = -d**2 + d + 4. Let r be w(3). Determine r*y(k) + 7*z(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -729529*r**2 - 815882.\nAnswer: -1459058*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5143, -3, 3, -6 in descending order.\nAnswer: 3, -3, -6, -5143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 3*t - 7. Let u be l(-5). Suppose -3*v = -4 - 2. Suppose -u = -c - 2*d, 4*c - 2*d = v*c + 32. Solve 7*r - c = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -3*h**3 + h**2 + 1478*h - 1. Let j(d) = 2*d**2 + 57. What is f(j(s))?\nAnswer: -36*s**2 - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + 10 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 + 162. Suppose -n*l + l = -25188. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvjv when four letters picked without replacement from {v: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12211 + -33102?\nAnswer: -45313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001 - -11?\nAnswer: 10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.559 plus 11.6012?\nAnswer: 11.0422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/21 + ((-52866)\/(-21))\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 71960*z - 287865. What is a(4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869420 is divided by 3150.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 11222091 a multiple of 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**23\/((u\/u**(1\/3))\/u)**(-33\/5))**(6\/7) assuming u is positive.\nAnswer: u**(1314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*x + 58*x - 217*x + 25 wrt x?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-151*u + 205*u + 162*u)*(2 + 1 + 0) + 3*u + u - 2*u to the form p + c*u and give c.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-126)\/30)\/7 + 3\/5. Let g be i + (-4 + 2282)\/1. Suppose g = -10*d + 10908. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*-6)\/(sqrt(405) - sqrt(405)*-2).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 5\/3 (c) -2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-28))\/(927\/(-824))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*u = 34, 136 - 23 = 5*s + 4*u. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.009331, 4.\nAnswer: -3, 0.009331, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2207 + -0.305. What is t rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p - 3. Let q be k(-2). Suppose -6 = -3*l + q. Suppose -l*h + 22 + 8 = 0. Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t. Let i(l) = -l. Let m(v) = 4*v. Let k(g) = g. Let c(a) = -3*k(a) + m(a). Let s(o) = c(o) + 2*i(o). What is n(u) - 2*s(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**4\/8 + 60*r**2 + 1. Let y(p) = 505*p. What is y(q(c))?\nAnswer: -1515*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (21 - (-33 - -45)) - -44\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6967 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 8*y + 7. Let o be w(-7). What is the first derivative of -2*t**2 + 2*t - 1 - 2*t + o*t wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-278)\/(-48 + 46) + 27)\/(-1 - 1)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 44402?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g - 3. Calculate the remainder when 403\/9 - 516\/(-2322) is divided by w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(1330\/(-40)))\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -7*m**4\/8 + 115*m**3\/3 + 481*m**2\/4 + 122*m + 1000. Factor f(d).\nAnswer: -(d + 1)**2*(7*d - 244)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11938, 23863, 35764, 47629, 59446, 71203?\n\"Answer: -2*o**3 + 11939*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 583 + 54. Calculate the remainder when v is divided by (-980)\/238 + 4 + 7\/(238\/3132).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*3802.\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:28 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 173, 518, 1085, 1874, 2885, 4118?\n\"Answer: 111*j**2 + 12*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 15, b: 3}. What is prob of picking 1 b and 2 s?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.6 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 6*j + 4. Let n be z(6). Suppose -4*o + 25 = -3*t - 0*t, 0 = t + n*o - 13. Find the common denominator of -3 - 201\/(-66) - t and 53\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22384 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -4. Let p be ((-10)\/6)\/(y\/(-15)). Let n(g) = -2*g - 3. What is the units digit of n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*j - 59*j = 4. Solve 0 = -2*r - n - 2, 2*r + 4*n - 9 = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 17*v + 7. Let u be g(-9). Let m be (3 - 3) + -6 + 3. What is the nearest to u in -7\/3, m, 0.4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16074532 by 2.\nAnswer: -8037266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7642912 to the nearest integer?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383.83 rounded to the nearest ten?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -94.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 2.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021971 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6390384 is divided by 3195171?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.58 + -0.68. Let q = -0.98 + -0.02. What is the closest to y in -2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233360678.\nAnswer: 2, 116680339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.079587138?\nAnswer: -1.079587138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 672492262 to the power of 1\/2, to the nearest integer?\nAnswer: 25932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 + -182.5. Let g = s - -36. Which is the closest to g? (a) -0.3 (b) -4 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/13*(-1 - -2). Let k be (-56)\/(-1736) - 570\/(-1550). What is the second smallest value in k, 3, 2, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -4*r**2 + 19*r + 3. Suppose 8 = -10*d - 72. List the prime factors of f(d).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 1)*(-8)\/(-24). Let l be ((y - 3) + 5)*0. Suppose 2*r - 3*n = -0*r + 3, l = -2*r - 2*n + 8. Which is the closest to 1\/2? (a) -4 (b) r (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3569 + 24986\/7. Let j = -1.3 + 1. What is the biggest value in j, 0.05, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*1 - 646\/(-76). Suppose -96 = -10*r + k*r. Is 44 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30884345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20136 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: Calculate (27 + -30)\/((-15)\/40*(-12)\/(-42)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 4:03 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -4*r - r. Suppose 3*g - r = 2*m, m - 171 = -5*g - m. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1426 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2655, 2667, 2683, 2703?\n\"Answer: 2*x**2 + 6*x + 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0 + 7)\/((-3)\/84). Let y = g - -284. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -22*d**2 + 14*d + 13. What is v(-3)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -5, -0.3, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(1517\/(-738) - (-8)\/6)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -397 - -310 - (7 - (5 - 5) - -8)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 603 - 1168. Let b = 193 - g. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -680 divided by -5\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 457006749 to the power of 1\/3, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:21 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q - 1. Let s(p) = 16*p + 17. Let w(j) = s(j) + 3*v(j). What is w(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31265466 (base 7) to base 6\nAnswer: 132314053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*(-118678)\/3534909.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, h: 4, e: 1}. What is prob of picking 2 w and 1 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -5*r**7\/42 + 7*r**6\/6 - 13*r**5\/12 - 25*r**4\/12 - 603*r**2. Factor n(h).\nAnswer: -5*h*(h - 5)*(h - 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.40000067. What is f rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13846 - 13848. Which is the nearest to -1.3? (a) 2 (b) 1\/3 (c) 2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64469 + 64753.47. Round t to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 - 123*r - 118. Determine w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23698027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1075, -7074, -23333, -54982, -107151, -184970, -293569?\nAnswer: -438078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + k + 3*k = -4, 4*k - 8 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:13 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let h = 135 + -129. Let n(i) = 9*i - 1. What is h*b(x) - n(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/108)\/((-1)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 21 - (-86 - 6)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1391654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**3 + 5*i**3 - i - 6 - i**2 + 5*i**3 as w*i + m + l*i**2 + n*i**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*((-369)\/72)\/(-41))\/(1\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:32 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = o + o, -o - x = 2. Let r = 9 + -6. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511691?\nAnswer: 511691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 4. Suppose -90*y + 7438 + 11780 = 6078. What is the remainder when y is divided by c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1172, 4495, 9966, 17579, 27328?\n\"Answer: -t**3 + 1080*t**2 + 90*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7149 (base 14) in base 11?\nAnswer: 1369a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5 + 2 - 9*g - 27*g**2 - 15*g**2 - 2*g**2. Let w be z(7). Let q = 3313 + w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18108, 18109, 18110, 18111, 18112?\n\"Answer: k + 18107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/5, 2, 1179.9, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/15*(27 + (-2090)\/76).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o**2 - 4*o**2 + (-240*o + 488*o - 29 - 244*o)*(3*o - 4*o + 0*o).\nAnswer: -6*o**2 + 29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/8)\/((-1)\/(-2)*(-42)\/(-168)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 174. Suppose l + k = 4*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 134\/22 + -10*21\/2310. Let h be 56\/6*66\/4. Suppose x*s - 28 = h. Calculate the remainder when s is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344567465327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.6 - 11.022. Let g = l - -0.022. Which is the nearest to 0.06? (a) -3 (b) -1 (c) 2\/3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w)\/w)\/(w*w**(-4)) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/41 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dtkktddzsdt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 13152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*k**5 + 0*k**5 - 5*k**5 - 3*k**5 + 2*k**5 + 3*k**5 + (k - k + 2*k**5)*(-2 - 1 + 5) - 3*k**5 - k**5 + 2*k**5 + (k + 3 - 3)*(-k + k - k**4).\nAnswer: -34*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22665604\/155365 + -5106\/35. Let s = -279653\/8878 - d. Calculate the common denominator of (95\/(-32))\/(2\/4) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 8*y + 411. What is the second derivative of 118*p**2 - 66*p**2 - 18*p - 68*p**2 + y*p wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*i - 6, 3*l - 6*i = -i - 10. Let z be (l - 1)*(-16 + 1). Suppose -z = q - 2*q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 + 213. Let u be 3\/(-9) + 154\/n. Solve -3 = c, 2*f = -2*f + c + u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 353*o**3 + 12*o**2 - 15*o - 122. Let f be q(7). Round f to the nearest 1000.\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12*n\/(((n\/n**9)\/n)\/n*n))\/(n**(1\/4))**(7\/5))**(-22\/5) assuming n is positive.\nAnswer: n**(-4763\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 13075.\nAnswer: -3922.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 18*l + 32. What is d(10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**2 + 96*k**2 + 11 - 11.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165332 (base 7) to base 13.\nAnswer: -120b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/4 - 3825*m**3\/2 - 3663387*m**2 - 21911526*m.\nAnswer: -m*(m + 6)*(m + 3822)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3092 is divided by 2595.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 59. Is 422\/i*(7 + -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 17)\/(30\/328). Let n = -1553\/10 - i. Find the common denominator of 2 + 194\/12 + 0 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 5*x, -2*v + 2*x - 2 = 2. Is 0.1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95.9 + -96.4. Put a, 179, 0.3 in increasing order.\nAnswer: a, 0.3, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3577*g + 292. Let s(j) = 73*j - 6. What is 146*s(d) + 3*u(d)?\nAnswer: -73*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 300006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560 divided by 104.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 2. What is the remainder when d is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 9*v + 13. Let w be u(8). Let g(q) = -q**3 - q**2 - 2*q. Let z(n) = -n**3 - 2*n**2 - 4*n. Give w*g(d) - 3*z(d).\nAnswer: -2*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3195837 and 20\/219?\nAnswer: 233296101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/6)\/(u\/(u\/(u**(-2\/13)\/u*u)))*((u*u\/u**(-18)*u)\/u*u)\/u**(-2\/23) assuming u is positive.\nAnswer: u**(36611\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x*x**(-1\/3)*x)**(32\/7) assuming x is positive.\nAnswer: x**(928\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -d2d08 (base 14) to base 12\nAnswer: -2057b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 8) + 6*1. Suppose -u*x = -x - 9. Suppose -4*d - 2*j - 3*j = -106, 0 = d - x*j - 18. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 8 = -w, 5*j = 2*w + 2*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let u be t(3). Let h(w) = -w - 1. Let k(x) = 4*x + 5. Suppose -3 + 13 = -5*o. Let y(m) = o*k(m) - 11*h(m). Give y(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 50*d**3 - 5*d**2 + 7*d + 3. Let m be r(2). Let t = -391 + m. Solve -t + 31 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 4)*(4*c**2 + 2*c**2 - 4*c**2) + 3 - c**2 - 3.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 1884. Let w(t) = t. Give w(p(x)).\nAnswer: -6*x + 1884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - 3) + ((-6336)\/76)\/(-22).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/30)\/(3\/15). Let s be y\/(-4)*0 + 4. Suppose s*k - 18 = 7*k. Is 2 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -65*k + 53*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.3 take away -0.011724?\nAnswer: 171.311724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 divided by 1709452?\nAnswer: -825\/1709452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 195369356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -28. Let b be (3 - q)\/(3\/(-15)). Solve 6*m - m = b*w + 30, -w + 3 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u + 69*u + 44*u)*(0*u**3 - u**3 + 3*u**3).\nAnswer: 200*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1055, 5, -49, -2 in ascending order.\nAnswer: -1055, -49, -7, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*z + 3*z, -3*r = z - 65. Find the second derivative of -50*w**2 + 31 - 50 - w + r wrt w.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6451874 is divided by 2150389?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, y: 1, x: 1, z: 6}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302813 is divided by 22800.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -686 or -680?\nAnswer: -680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 5. Let k be p(-3). Let i be (15\/(-25))\/((-2)\/(-10)). Is k < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -362*q**3 - 11*q**2 + 8*q + 24. Let f be d(12). Round f to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 42*k - 825.\nAnswer: 3*(k - 25)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:02 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91018 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 54 = 6*y, -3*y = i - 482 + 507 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-1)*6*(-31)\/1612*4\/(-5).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 + 300?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 u when four letters picked without replacement from {u: 11, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48062 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/140 and -97\/200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 122173?\nAnswer: -122172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.66 + 0.21. Let t = z - 0.07. Let u = t + -0.80000014. Round u to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 1:53 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457 divided by 537.\nAnswer: -457\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 4, -78, 2, 5 in descending order.\nAnswer: 254, 5, 4, 2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r + 4. Let c be 3 + -4 + 7\/4. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209120 is divided by 41823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-22)\/(-4))\/11)\/(1*(-21)\/30)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m - 3160 = 0. Let p(s) = 113*s**3 - 3*s**2 - s + 2. Let r be p(-2). Let z = m - r. What is z rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - 1*(sqrt(51)\/sqrt(3) + sqrt(17))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29185 (base 14) to base 2\nAnswer: -11000110111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5810714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 4, o: 1, u: 3, j: 3, w: 1}. What is prob of picking 1 w and 2 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47560624 is divided by 2067853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11222612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8238730, -16477460, -24716190, -32954920?\nAnswer: -41193650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2847 - -5647. What is the greatest common divisor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*c**(1\/11)*c*c)\/c)*c*c**6)\/(c**4*c*c**1) assuming c is positive.\nAnswer: c**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/5 - 206*g - 67732\/5 = 0.\nAnswer: -59, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -24. Let p = s + 30. Calculate the remainder when p is divided by ((-6)\/5)\/(3\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -472 - -280. Let z = 191.99921 + m. What is z rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbnbvbvbibbbbbb. Give prob of picking 1 v and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -55, -80, -103, -124, -143, -160?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1491848 by -4.\nAnswer: 372962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 5516943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -12 (b) 1 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 8*w**2 - 7*w + 10. Let z be -4*2*(-2)\/4. Let d be (z\/(-6))\/(2\/(-21)). What is the units digit of t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + -221. Let w(b) = -b**3 + 2*b**2 - 2*b + 1. Give w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16239 = 3*w, -q + 7274 = -3*w - 838. Let m = q + -4432. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75689076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 18705 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i - 4805 = 2139. Solve 0 = -117*v + i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:57 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.02 + 0.02. Let i = 8 + r. Which is the third biggest value? (a) -1\/4 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520\/19 < 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 5*i**4\/12 + 5*i**3\/6 - 88*i**2. Suppose 683 - 699 = 16*q. Give t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3985.83 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 860130 and 17605.\nAnswer: 6020910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9653 is divided by 435.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - p**2 - 2*p - 5. Give r(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 10*t**2 + 14*t + 6. Determine x(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 5 = -10*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 20700*r**3 - r**4 + 2*r - 20702*r**3 + r**2 in the form o + h*r**2 + p*r**4 + y*r**3 + n*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35478 = -205*j + 1096*j + 3051*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -28*a**2 + a - 1. Determine y(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -162.7539 and -0.0782.\nAnswer: -162.8321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 90478 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -874, -1806, -2754, -3718, -4698, -5694?\nAnswer: -6706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*w**2 - 39*w**2 - 40*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**2 + 292*h - 56. What is y(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -6*n - 8. Find g, given that 310 - 12*g**2 - 310 + n*g = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1154 + 1158. Let k(j) be the third derivative of 0*j + 2\/15*j**5 - 1\/6*j**3 + 0 - 6*j**2 + 0*j**t. What is the derivative of k(v) wrt v?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/7 - 3086*f**3\/7 - 166710*f**2 + 18161606*f\/7 - 2427364 = 0.\nAnswer: -779, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 350256, 700532, 1050810, 1401090, 1751372, 2101656, 2451942?\n\"Answer: v**2 + 350273*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.1 - 26.1. Let u = -2 - 0. Which is the second biggest value? (a) t (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11.4, 0.4, 0.1, -39, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from bjvjjvvpvpvvvvjv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3396 + 4190. Is j a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*245.08\nAnswer: 245.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3 + 4*h**2 - 666671*h - 40214095.\nAnswer: -6*h**2 + 8*h - 666671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, -11037 in descending order.\nAnswer: -2, -13, -11037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 29923818779?\nAnswer: -29923818770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(847) - (sqrt(7) + 1 + -1).\nAnswer: -56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 424 + -421.19. Let r = t - 2.809762. What is r rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 + 217. Let o(r) = 2*r**2 - 16. Calculate the remainder when o(-7) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2820342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 1, j: 2, v: 1, t: 1}. What is prob of sequence tbl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-9)\/12*32\/(-6))\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2 + 2)*(7*n**5 - 3*n**5 - 3*n**5 + 5*n**5).\nAnswer: -60*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(85) - ((sqrt(85)*-1 + sqrt(85))*-3 + sqrt(85) - sqrt(85)))\/(-3*sqrt(405)*5 + sqrt(405) - sqrt(405)).\nAnswer: sqrt(17)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227811*b**5 + 2*b**3 + 3*b**2 - 176120*b.\nAnswer: 13668660*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12291 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3078, 1, -650 in decreasing order.\nAnswer: 3078, 15, 1, -650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.3 + 44.5. What is the second smallest value in x, -0.3, 4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2475048 rounded to the nearest one thousand?\nAnswer: -2475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.2 - 42.12. Let l = s + 15. Let b = l - -1.92. Is b at most -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 1. Let n(j) = 2*j**2 - j + 5. Let h(p) = -3*i(p) - n(p). Let c be h(2). Solve 0 = 3*w + c*v + 10, -6 = 4*v - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -23*c + 69. What is b(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3358 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (4\/2 - 0). Calculate the remainder when 184\/s + (-2)\/(-10) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 55*x**2 + 9*x + 1. Let w(c) = 8*c. Calculate w(q(m)).\nAnswer: 440*m**2 + 72*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 46, 64, 94, 142, 214, 316?\n\"Answer: w**3 - 3*w**2 + 14*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5483d - 2?\nAnswer: 5483b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (430\/15)\/(-2)*-15. Suppose -4*u - 2*j + 994 = 0, 2*j + r = u - 21. What are the prime factors of u?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-41) assuming h is positive.\nAnswer: h**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + -21 + -23 + 113?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 12, k: 4, e: 2}. What is prob of picking 1 k and 1 s?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 33 = -21*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 14*b**3 - 4 - 20 - 16*b**3 + 11*b**3.\nAnswer: -19*b**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-10))\/w)*w**(-18)*w**(-8\/7)\/w*w\/((w**(-7)\/w)\/w)*w*w)**(-9\/4) assuming w is positive.\nAnswer: w**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1874*t + 13111. What is p(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k - 8. Let s be n(-6). Let h be s + 3 - (2 + -1). Suppose -m + 1 + 5 = h. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9184.5 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 + u - 10. Let j(x) = x**3 + 10*x**2 + 9*x. Let y be j(-9). Let a be g(y). Let i be 6\/18 + a\/(-6). Solve -6 = -r - i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1662*a**2. Let r(n) = -2*n. Determine r(z(l)).\nAnswer: 3324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-27) + 28304\/72. Let y = t - 155. Is 34 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -11, -3, -1 in ascending order.\nAnswer: -11, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-6)\/g)\/g*g))**(-3\/2)\/((g*g**(-2\/9))\/(g\/(g*g\/g**(-2)*g))) assuming g is positive.\nAnswer: g**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = -0*k + k, -4*k + 84 = 5*p. Let c be (1 - 2) + (-141)\/(-6). Let d = c - k. Do -3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(14 - 11).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 45\/378346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4083.61 centimeters to meters.\nAnswer: 40.8361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkyggggsgggggg. What is prob of picking 2 g and 1 y?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 851*d + 2206 with respect to d.\nAnswer: 851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -37. List the prime factors of (w\/3)\/(1\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 2 - 2 + (d**2 - 5*d**2 + 2*d**2)*(-3*d**2 + d**2 + 3*d**2) + 6*d**4 - 16*d**4 + 0*d**4.\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q**2 - 2*q**2. Let h(b) = 4*b - 8*b + 3*b. Calculate h(y(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 18\/4. Suppose 0 = 3*d - 5*j + 28, -4*j + 23 = 3. Let s be (d + (0 - 1))\/(-7). Which is the second smallest value? (a) m (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/60 and 53\/8940.\nAnswer: 8940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 13*q - 871. Let o(t) = -t**2 - 4*t + 290. Give 4*n(f) + 13*o(f).\nAnswer: -f**2 + 286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 11*n + 18. Let t be m(-6). Suppose 9*g - g = t. Solve g*x = 5*p - 2*x + 5, 0 = 5*p + 5*x - 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 6. Let h be u(-3). Let l = 34 + h. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -2?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**5 + 15*p**4\/4 + 20*p**3\/3 - 30*p**2 - 2094. Factor y(w).\nAnswer: -5*w*(w - 3)*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggcs. What is prob of picking 1 c and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 655\/7 - 94. Let l be -1 - (-2)\/(-32)*-10. Let u(v) = -v. Let o be u(0). Which is the smallest value? (a) l (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/33 (b) 3 (c) 1.5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272420 by -1028.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 59*f + 5. Let z(a) = -119*a - 10. Let h(x) = 7*b(x) + 4*z(x). Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-33)*6*(-1)\/(15\/6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 735\/105*24\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4) + (2\/11 - 31\/(-11)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, d: 5, m: 3, k: 2, j: 6}. What is prob of sequence jkdj?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -151*c**6\/6 - 3*c**3 + 2*c**2 - c + 89. Find the second derivative of m(n) wrt n.\nAnswer: -9060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - x**2 - 4*x**2 + x**2 + 5*x**2 + (-7*x - 7*x + 2*x)*(7*x - 2*x - 3*x) as q + r*x**2 + p*x and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -532.\nAnswer: 1\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*k**3 + (1 - 3*k**2 - 1)*(-74*k + 472*k + 407*k).\nAnswer: -2413*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:37 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(10\/(120\/(-9))). Let h(d) = -7*d**3. Let k be h(-1). Solve k*p = v*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/4 - 9391*p**3\/2 - 128216517*p**2\/4 - 93970186919*p - 100128221075281 = 0?\nAnswer: -6122, -3269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -7877911550?\nAnswer: -7877911554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-374)\/(-8) + 4\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*o + 77*o + 135*o.\nAnswer: 298*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f8f + -17d?\nAnswer: -310c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3 + (6 - 4 + 0)*(-2 - 2 + 3) + 107 - 48 - 88)*((-3 + 3 + 5)*(s + 5*s + s) - 3*s + s + 4*s) as i*s + o and give i.\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (880\/(-33))\/(-8)*(-5)\/((-25)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 64.11872 microseconds?\nAnswer: 0.00006411872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 22 + 4)*(1 + 0 + 1)*(-r**2 - 5*r**2 + 3*r**2) to w*r**2 + q*r + k and give w.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 551*q**2. Let l(k) = 11*k**2 + 6*k + 138. Let x(i) = -2*i**2 - i - 23. Let f(h) = -l(h) - 6*x(h). What is f(r(o))?\nAnswer: 303601*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 29\/313550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7904222.56 rounded to the nearest 100000?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/60 - 7*a**3\/3 + 6*a**2 - 12*a. Let d(p) = -22*p**2. Calculate d(g(l)).\nAnswer: -22*l**4 + 616*l**2 - 4312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61.6? (a) -2 (b) 3\/5 (c) 0 (d) -206\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -38017502\nAnswer: 5\/38017502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*x**2 - 95*x**2 - 19*x**4 - 8 + 17*x**4 to the form h + a*x + n*x**2 + k*x**3 + m*x**4 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3909679 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 28 = -11*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145560 is divided by 363?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*w**2\/3 + 13*w + 5\/3.\nAnswer: (w + 1)*(34*w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*b + 29, -3*r + 6*b - b = -45. Suppose -15*c + r*c = g - 87, -60 = -4*c + 4*g. What is the greatest common factor of 85 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*y - 6294. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1123*p**3 - 82*p**2 + 7*p - 5. Let g(h) = -1122*h**3 - 70*h**2 + 6*h - 4. What is -7*g(a) + 6*t(a)?\nAnswer: 1116*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5061)\/28*30)\/24. Let s = i - -226. Is 6 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.69 - 9. Let x = 0.59 - s. Which is the second smallest value? (a) -3 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.7129547 and -2491908.\nAnswer: -2491909.7129547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5175617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 10*a + 52. Let t = 84 + a. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303686891*z**3 - 1158945*z - 25.\nAnswer: -1822121346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from cgsgckcmpggp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 14*l - k + 8, 16 = 2*l + 3*k. Suppose 5*x = -l*q + 894, -2*x + 6*x - 16 = 0. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 374\/18 + 6*(-4)\/(-108). Suppose -6*i = i - n. Sort i, 2, 0 in descending order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*c - 4 = -4*i, 0 = i + 2*c - 8. Is 19 + -2 - (i + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 576\/40 - -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llddddtdpdldxlpddldl. Give prob of picking 2 d.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001002 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 6*w**3 - w**3)*(-15 - 12 + 6)*(3*w - 4*w + 0*w).\nAnswer: 126*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1724832 divided by -4\nAnswer: -431208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 + 0*h - 5\/6*h**3 + 1\/24*h**4 - 1\/40*h**5 - 5*h**2. Let i(n) be the first derivative of m(n). What is i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 6, g: 9}. What is prob of sequence ggo?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -43. What is the common denominator of (-1 - -7)\/(6\/u) and -71\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40442*g - 40070*g + 80515*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50, 51, 52, 53, 54, 55?\n\"Answer: i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4073706 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a - 2 - 26*a - 1. Let m be s(-3). Calculate the common denominator of 6\/(-27) + m\/54 and -55\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:45 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 - 233. Let k(g) be the second derivative of -g + 1\/12*g**4 + h*g**3 + 0*g**2 + 0. Let u(t) = 4*t. Calculate u(k(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -66681 divided by 12\nAnswer: -22227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = -t. Suppose 5*h - 4*x = -1, -x + 3*x = -4*h + 20. Solve t = -q - q + 2*f, 4*q = h*f + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 12*d + 101. Calculate the remainder when 110 is divided by y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16384 + 25741 = 423*r - 14134. What is the remainder when r is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6\/7))\/q**18)\/((q*q**(1\/49)\/q)\/((q*q**(-1\/26))\/q)) assuming q is positive.\nAnswer: q**(-22825\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -793 times 0.09\nAnswer: -71.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 0*t - 3*t + 3*t**2 - 9*t.\nAnswer: 3*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y**(-16))**14 assuming y is positive.\nAnswer: y**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p + p + 37*p**2 + 114*p**2 + 155 + 0*p with respect to p.\nAnswer: 302*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -133?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -518 by -7.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymjqbwwj. What is prob of sequence myb?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*((-f - 4 + 4)*(-1 - 3 + 2) - 19*f - 36*f + 16*f).\nAnswer: -148*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -105436+249461775\nAnswer: 249356339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*b**3 - 45*b**3 - 15*b - 34*b + 48*b.\nAnswer: 196*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 9. Let g be z(7). Suppose 0 = 3*w + h - 2, -3*w + 26 = 2*w - 4*h. What is the third derivative of -6*u**w - 2*u**6 + 3*u**6 + 4*u**g wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12*g - 2*g - 117 = -9*g, 11*l = -11*l + 5*g - 733 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:26 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 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: What comes next: -136, -552, -1244, -2212, -3456, -4976, -6772?\nAnswer: -8844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4933636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1265, 1265, 1263, 1259?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.3, 44, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -51*o**2 + 9*o + 3. Let d(h) = 25*h**2 - 4*h - 1. Let p(r) = 5*d(r) + 2*z(r). What is p(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73439 greater than 73439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggbzzggbbhgbsgsbz. What is prob of picking 2 z and 2 b?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (-19416)\/39 - (3 + (-82)\/26). Which is greater: f or 2508\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 831 - 826.62. Let f = p + -8.38. Which is the nearest to 3? (a) -1\/5 (b) f (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1279629371, -1279629366, -1279629359, -1279629350, -1279629339?\n\"Answer: a**2 + 2*a - 1279629374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9*c + 14*c - 16, -4*c = -2*l - 24. Let z(m) = 2*m - 34 + 61 - 28. Calculate z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -16*b**5\/35 + 3*b**4\/7 + 20*b**3\/21 - 6*b**2\/7 - 4*b\/7 + 8. Solve y(n) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (378\/(-12))\/(24\/(-16)). Let p(t) be the first derivative of 1\/5*t**5 - o + 5\/3*t**3 - t**2 + 0*t - t**4. Let p(s) = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3708976 and 944?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*(0 - -1))\/1. Let g(y) = -y**2 - y + 1. Let c(i) = 47 - 6*i**2 - 5*i - 42 + 2*i**2 - i**2 + i**3. Give d*c(v) + 5*g(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16633843027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28\/703, -0.5, -2?\nAnswer: -28\/703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3 + 4 + 8 - n + 12. Let j be i(13). Is 135 - 0 - (-7)\/(-28)*j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdsgkdkqbskkq. Give prob of picking 1 q and 1 k.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 d when three letters picked without replacement from {v: 1, d: 2, n: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - -190 - 69) + -77.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*f = -10, -5*f - 33 + 28 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.61 - -0.568. Let d = k + -0.052. What is d rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/3090 and -77\/1030.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -33*n - 1. Give z(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 5. Let c be j(4). Find the third derivative of 7*q**3 - c*q**3 - 2*q**2 + 2*q**2 + 3*q**2 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.4 - -7.4. Let c(n) be the second derivative of n**4\/12 - n**3\/2 - 2*n**2 + n. Let s be c(3). What is the smallest value in o, -2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47)\/((-1645)\/(-336)) + 10. Let -2\/5*t**3 - 2\/5*t**2 + q*t**4 + 2\/5*t + 0 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.6 + 61. Let j = -3.7 - o. Let z = 0.8 - 3.8. Which is the nearest to 3\/4? (a) j (b) z (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 9*j - 6. Let q be v(10). Suppose -5*y - q = -3*y. Let g = 117277\/70 - 11734\/7. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 62*l - 511. Let w be j(10). Solve d = w*a - 4*a - 22, 3*a - 30 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqxqxqxxxqx. What is prob of picking 2 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/4 (c) 15 (d) -2\/299 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159103350 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -33832.728 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74560 and 7120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*g, -h + 3*g - 12 = 1. Let m be (2 - 2) + h\/14. Is m != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4713)\/(-2) - (1 + (-15)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18245 is divided by 9000.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 0*b**3 + 0*b**3)*(-5 + 4 + 0) + (-3 + 4 - 2)*(-3*b + 2*b**3 + 3*b) - 7*b + 7*b - 3*b**3 to the form d*b + h*b**3 + p*b**2 + i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121221200210121001 - 11?\nAnswer: 121221200210120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9596114, -19192039, -28787964?\nAnswer: -38383889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1110211023 (base 4) to base 5\nAnswer: 42041233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8713.935g?\nAnswer: 8.713935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300*j**3*s + 278334*j**3 - 131*j**2*s + 2*s with respect to s.\nAnswer: 300*j**3 - 131*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/40 (b) 5 (c) 37 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11326*w + 12826*w - 1246*w - 7295*w + 11074*w + 1594*w.\nAnswer: 28279*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = 0, 0*l - l + 59 = -g. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 3*n. Let j be ((-4)\/(-3))\/(7\/(-21)). Let c(z) = -z**2 - 2*z + 7. Let g be c(j). Let l(d) = -2*d - 3. Let s(y) = 1. Determine g*l(h) + n*s(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 10235*l + 721356. What is g(70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**7\/42 - 38*n**6\/5 - 901*n**5\/20 - 187*n**4\/2 - 224*n**3\/3 - 4*n - 1335. Suppose o(m) = 0. What is m?\nAnswer: -224, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -0.2, 58\/15, -9\/7?\nAnswer: 58\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76.16 + -76.13. Sort 16, -8, d in decreasing order.\nAnswer: 16, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/(-42) - 1)*(-16758)\/14364. Determine o, given that 0 + s*o**4 - 2\/3*o - 2\/9*o**3 - 10\/9*o**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*j + 4\/11 - 4\/11*j**2.\nAnswer: -2*(j - 2)*(2*j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44618062 to the nearest integer?\nAnswer: 6680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 8)*(4*s**5 + s**5 - 4*s**5).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x - 627. Give d(63).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3165*g + 1739. Is b(-52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/810341?\nAnswer: -6\/810341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(1937\/11473*21)?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 188 = f, 0*f + 752 = -4*x + 2*f. Let u = 1705\/9 + x. Find the common denominator of (-44)\/(-12)*-2 + 1 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 40 = 2*x - 14, -29 = -5*n + 3*x. Suppose -3*a + 9 = -6, 0 = n*z + 4*a - 168. Calculate the remainder when z is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = o - 8. Let d be (-18)\/5 + ((-56)\/o - 6). Let k(g) = g**3 + 6*g**2 + 6*g + 2. What is k(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/536 and -13\/402.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:55 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -31*x**2 - x + 2. Let y = -30 + 31. Let j be p(y). What is the common denominator of -95\/4 and ((4 - 2)\/(-2))\/(j\/(-590))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.7 times 373\nAnswer: 5856.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/7 + 2570\/5. Let a = o - 516. Sort a, -2, 3 in decreasing order.\nAnswer: 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**5\/20 + 71*m**3\/3 + 347*m**2\/2 - 9*m - 10. What is the derivative of y(u) wrt u?\nAnswer: -3*u**2 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10272*q + 10313. Determine g(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.089 - 40.911. Let k = 625228227.9999939 + -625228187. Let v = i + k. What is v rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*b - 355*b + 351*b + 354*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -444*g. Let s(f) = -11*f**2. What is c(s(j))?\nAnswer: 4884*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*-2*4. Let f = y + 2. Suppose o = -5*m + 182, 105 = 3*m - 3*o + 5*o. What is the remainder when m is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbl when three letters picked without replacement from lnaaacalbbb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 12.7?\nAnswer: 6.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c**2 - 5*c + 5. Suppose 4*w + 2*d = -12, -6*w = -2*w + 3*d + 8. Let j(a) = -42*a**2 - 12*a + 12. What is w*j(m) + 12*z(m)?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 604 = m, 3*m = 11*k - 14*k + 438. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/5331 and 42\/515?\nAnswer: 2745465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.026\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4676161385\/36 - -129862751. Let h = 30618 + o. What is the common denominator of 49\/24 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91449057 to the nearest integer?\nAnswer: 9563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -12. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 760158063 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3233 and 22313?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 47213232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/11656 and 113\/34968.\nAnswer: 34968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -918874\nAnswer: -34\/459437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 + 0.3. Let a = -0.67 - -0.7304. Let d = l - a. What is d rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179*k**4 - 115 - 56*k**4 - 47*k**4 - 45*k**4 - 51*k**4 wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1883683 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 2 + (2 - 4) - (20 - 13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1897748, -1897750, -1897754, -1897760, -1897768, -1897778, -1897790?\n\"Answer: -l**2 + l - 1897748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - ((-3102)\/(-47) - 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24141 + -13232302?\nAnswer: -13203111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 105*w**2 + 5*w - 19. Let j = 62 + -55. Let a be z(j). Let l = a + -2721. 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: Put 38, -0.5, -26, -6 in descending order.\nAnswer: 38, -0.5, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 4*r - 10. Calculate the lowest common multiple of 2 and t(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - 2\/(-8). Let u(f) be the first derivative of f**3\/3 + f**2\/2 - 1. Give u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 27*s - 272. Determine b(-6).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720933.\nAnswer: 3, 47, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -92*j - 2256. Give i(-24).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6044716949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/51)\/(6\/((-9)\/(-3)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/36*-4*((-9)\/6)\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1989, 9, 13 in descending order.\nAnswer: 1989, 13, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 830168*k**3 + 133707*k**2 wrt k.\nAnswer: 4981008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 48*h**2 - 7*h + 16. Let i(l) = -l**2 - 6*l. Let g be i(-5). Is n(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176.24*-0.1.\nAnswer: -17.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 t, and 1 b when four letters picked without replacement from {v: 1, s: 5, t: 3, c: 1, b: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crrj when four letters picked without replacement from crrccrccrjc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8994118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -26727 <= -187092\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9753045 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.3. Let t = 238 - 237. Let h be (5 + (t - 4))*(1 - 2). Put -0.48, h, a, -1\/3 in descending order.\nAnswer: a, -1\/3, -0.48, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 1 - 5 + 3*q.\nAnswer: 3*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 44 + 154*u**2 + 104 to the form v*u + q + x*u**2 and give x.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 11, c: 2}. Give prob of picking 1 i and 2 x.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.220422 rounded to one dp?\nAnswer: 185.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -6.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 11\/4)*(-6 + -101 + 7). Solve 0 = s + w - 273 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1236 - 1185. Let j = -75.142 - -24.133. Let m = j + h. What is m rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/44 + (-6)\/12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128.153 - 128.8. Let f = 0.347 + y. Which is the closest to -2\/7? (a) 1 (b) 0.4 (c) 6 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 9 - 38*x**2 + 6 - 26*x**2 + 3 as q*x**2 + l + p*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 12. Let l(v) = -v + 238 - 238. What is l(p(d))?\nAnswer: d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-33))\/(43152\/49104)\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-19 + (10 - -12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2 and 2\/12*(-5 + -38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/90 - (-116)\/30. Let x(b) = j*b**3 + b - 10*b**3 + 4*b**3. Let s(n) = n**3 + 4*n**2 + n + 5. Let q be s(-4). What is x(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18441, -73768, -165981, -295080, -461065, -663936?\n\"Answer: -18443*z**2 + 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3799*t. Let j(o) = -107*o. Give j(m(a)).\nAnswer: -406493*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 820, 1244, 1668, 2092?\nAnswer: 2516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -27*m - 870. Let q(u) = -23*u - 871. Let b(n) = 2*i(n) - 3*q(n). Give b(-58).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -43\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 + n**4\/6 - 5*n**3\/2 - 64*n**2 - 1. Let f(y) = y. Let q be f(-7). Let s be w(q). Solve 2*k = k + j, -3*j = -s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(21\/(-10))*38*(-61)\/3477?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o**2 + 252*o + 92. Calculate q(32).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(4\/232).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (102\/16)\/(4732\/104) and -39\/2.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*f = -589*f - 5176216 + 25013672. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 2*i + 2. Let x(q) = q**2 - 12*q + 8. Let w be x(12). Let t = 12 - w. Calculate b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -25, -32, -21, 20, 103, 240, 443?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7 - -1.9. Let q = s + 1.3. Do q and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((3 - 326) + 5). What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.998673*30\nAnswer: -29.96019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.07 - -1.97. Let q = -15 - s. Let f = -1.9 - q. Which is the third smallest value? (a) -1\/5 (b) -5 (c) f (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 7. Let l be x(6). What is the second derivative of -25*k**4 + 3*k**5 + 6*k + l*k**4 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2988 - 2988. What is the nearest to -2\/17 in -2\/11, -0.3, -2, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u**4\/11 + 82*u**3\/11 - 100*u**2\/11 - 16*u\/11 = 0.\nAnswer: -1\/7, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598644.\nAnswer: 2, 79, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 - 17)*(1 + -1). Let q(u) = u + j + 4 + 104*u**2 - 7*u**2 + 5. Is q(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 3. Let p be x(0). Let g(j) = -10*j + 1 + 6*j + p*j. Give g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100241931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.8 times -1.1?\nAnswer: 32.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 7*l**2 - 8*l + 7. Suppose u - 36 = 4*u. Let v = u - -18. Determine a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111101001 (base 2) to base 7.\nAnswer: -23563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5 (c) 0 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 - -152.5. Sort 5, 7, x in decreasing order.\nAnswer: 7, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, 2\/5, -0.24817485 in descending order.\nAnswer: 28, 2\/5, -0.24817485, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4690986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190715489 to the power of 1\/2, to the nearest integer?\nAnswer: 46805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuzuzwuzw. Give prob of picking 1 z and 2 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-330)\/(-80) + -4 + 1\/(-8). Suppose i = t - 488 + 484. What is the nearest to -4 in -0.4, 0.02, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16381*p**6 + 4330*p**2?\nAnswer: -1965720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*k*m*s - 1597*k*m - 96779585*k + 154*m*s + m + 2*s wrt m.\nAnswer: -14*k*s - 1597*k + 154*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-8) - 2\/(-8). Is 2 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8735 + 8703 + (1 - 28)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13240 + 66197\/5. Which is the nearest to r? (a) 2 (b) 1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 49 = 5*w. Let b be (-3)\/6 + w\/2. Is 360\/28 - 1\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224550?\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206253 and 5292?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*l*v**6 - 3*l*v**4 - 12*l*v + 6*v**2 wrt v?\nAnswer: -9120*l*v**3 - 72*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5293, -1145\/6, 2\/5, 2\/7 in increasing order.\nAnswer: -1145\/6, -2\/5293, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312088*d**3 + 312086*d**3 - 150*d**2 - 85*d**2.\nAnswer: -2*d**3 - 235*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-7)*h)\/h*h**14\/h)\/(h\/((h**(-4)\/h)\/h)*h)**(-2\/3))**(-3\/19) assuming h is positive.\nAnswer: h**(-37\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -4 (c) 3 (d) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 3*f**4\/4 + 4*f**3 - 12*f - 57. Let l(w) = w**2 - 1. Let b = 9 - 21. Determine b*l(q) + j(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa05 (base 11) in base 16?\nAnswer: 71ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:00 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Solve x + 15 = -4*x + u*t, -5*t = 2*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let i(r) = 39089715*r. What is i(m(a))?\nAnswer: 78179430*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 5*g + 0*g)*((3 - 3 + 2*g)*(2 + 0 - 4) - 2 - g + 2 + 12 + 6*g - 12).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5 + 0 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3768878644?\nAnswer: 2, 17863, 52747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2020338 and -1.3.\nAnswer: -2626439.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028256083 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a)**(-1\/8)*(a*a**0)**(1\/42))**23 assuming a is positive.\nAnswer: a**(529\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 6*l. Let v(b) = -3*b + 5. Let p(i) = -i + 2. Let d(s) = 5*p(s) - 2*v(s). Suppose -20*y + 13*y = 7. Give y*h(k) - 6*d(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16527 and 66284288.\nAnswer: 5509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 65, 134, 231, 356?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3387498.66 to the nearest 100.\nAnswer: -3387500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.5 (b) 0 (c) -2\/5 (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4*-2*(-6)\/(-90)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 341, 484, 645, 830, 1045, 1296, 1589?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493745225*n**2 - 493745225*n**2 + 40*n**3.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/(-20))\/(-3 + 1547\/515). Let t = x - -1243. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1 (b) -15\/7 (c) -13\/8 (d) -24 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:41 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 4*z**3 + 5*z**3 + (61*z + 28*z**3 - 61*z)*(1 + 2 - 1) + 2 + z**3 - 2 - 147*z**2 + 147*z**2 + 31*z**3.\nAnswer: 86*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 22*l - 18538. Put 3, -2\/23, l in descending order.\nAnswer: l, 3, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*i, -4*i + 15 = -b - 2*i. Let w(d) = -83*d - 254. Give w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41091 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 21354*k + 227996658.\nAnswer: (k - 21354)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(sqrt(1377) + 3)*-3)**2.\nAnswer: 2160*sqrt(17) + 49972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179274 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 125 = -7*a, 6413011*x - a + 107 = 6413015*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7461.7 + 25790.\nAnswer: 18328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-5))\/1*(-60)\/(-25200)*525. Suppose 4 - h*t**3 - t**2 + 16\/3*t + 1\/3*t**4 = 0. Calculate t.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1581\/31*(-9)\/(108\/4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, g: 1, s: 3, f: 2, p: 3}. Give prob of sequence sg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 5*s - 4*s)*(85 + 22 + 31)*(38 + 28 - 52) as r + h*s and give h.\nAnswer: 3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 10. Let r be v(8). Let k be r\/((-4)\/3 - -2). Suppose -2*a - 2*x = -a - 13, -k*x + 26 = 2*a. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 10 = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 129 (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) -0.8 (b) -4\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(-1)*-4. Let u be -1*p*(-4)\/4. Suppose 20 = i - 3*a, 6 + u = -2*a. Calculate the greatest common divisor of i and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(600)*6)\/(-3*(sqrt(42)\/sqrt(3))\/sqrt(7)) + 2.\nAnswer: -2 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 11*t**2 + 18*t + 33. Let v be p(-9). Let i be 6\/9 - (-44)\/v. Solve -h = 2*h + i*s + 10, 12 = -3*h - 3*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1081 + -1030. What is the remainder when 98 is divided by p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13210?\nAnswer: 2, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -429 + 885. Calculate the greatest common divisor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.016 + -0.984. Let k = 105 - 125. Let q = k - -22. What is the closest to p in 3\/2, -5, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/9)\/o*o**11*o*o assuming o is positive.\nAnswer: o**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 13*u**2 + 4*u - 18*u**2 - 7*u**2. Let r(g) = 7*g**2. Determine r(w(y)).\nAnswer: 1008*y**4 - 336*y**3 + 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/44815120 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*u - 25068, -8*z - 2*u + 75224 = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.2 - -5.2. Let s = -10 - -14. Let y = s + -59. Which is the closest to -1? (a) f (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4)*-6*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1188 + 1?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(270)*1 - 3*sqrt(270)*-1)\/((1*sqrt(750))\/sqrt(3)).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -502 + 9*f + 502 + (5*f + 1 - 1)*(2 + 1 - 8) + 6 - 3*f - 6 as g + j*f and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11144, 22308, 33494, 44702, 55932?\n\"Answer: 11*g**2 + 11131*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 4) to base 7.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 242 - -15214?\nAnswer: 15456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462363171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, h: 16}. Give prob of sequence hhhs.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 86 = 5*t, -4*t - 73 = 226*u - 223*u for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:58 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 + 455 + -20*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -46*v**7\/7 + 64*v**3\/3 + 18. What is the third derivative of x(l) wrt l?\nAnswer: -5520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4095ab + -99?\nAnswer: -409666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.021 and 363.147888.\nAnswer: 363.126888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1728))**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 48 = -s, 6*v + 190 = 4*s + v. Let k = 53 - s. What is the second derivative of 8*m**3 + 31*m**k - 44*m + 92*m - 77*m wrt m?\nAnswer: 234*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/23)*m**(-8))\/(m**(-2\/3)\/m**(-2)) assuming m is positive.\nAnswer: m**(-638\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:50 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*d + 111 = 0, -273*d - 114 = -3*t - 278*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1135326 and -109\/1892210.\nAnswer: 5676630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209\/13 - 215\/13. Which is the smallest value? (a) f (b) -1 (c) -4 (d) 0.2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/279 and 8\/27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from nllhch?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004765 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -83 - (-92 + 24)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(104)\/sqrt(32) + sqrt(13) - sqrt(1573)*4)**2 - -5*((-2 + sqrt(52) - sqrt(13)) + 4).\nAnswer: 5*sqrt(13) + 89597\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*d + 3*q + 2*q, -5*d + q = -52. Let p = 8 - 11. Put d, -1, p in descending order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 2 + 315*y + 9.\nAnswer: 315*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15264.6 - 16143. Round r to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2021*f - 5234 - 496*f - 1078*f + 319*f with respect to f.\nAnswer: -3276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 + 7*i - 6. Let w be x(-7). Let z = w - -12. Let p be 54\/156*8\/z. Is p < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7901, -8370, -9149, -10238, -11637, -13346?\nAnswer: -15365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.491542 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 8 - 58 - 62\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -58. Suppose -15*i = -7*i - b. Solve -y = -0*v + i*v, 5*y - 16 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.3, -1, -2\/15, 3982?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.21 and 5698?\nAnswer: 5697.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 309310000 to the nearest 1000000.\nAnswer: 309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.328482462332 and -0.4.\nAnswer: -0.071517537668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1142 + -95?\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -329655+0.1\nAnswer: -329654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 64*k - 66*k = 2301, -3*f + 1389 = -4*k. Calculate the least common multiple of 45 and f.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, -0.09, 2180, -0.086, -5, -2?\nAnswer: 2180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52645, -105066, -157095, -208534, -259185, -308850, -357331?\nAnswer: -404430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 61. Suppose -5*i - 74 - p = 0. Let v = 34 + i. Put 3, v, -1 in descending order.\nAnswer: v, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -42.1.\nAnswer: 210.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 - -84. What is the tens digit of -3 - (-7)\/(21\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v + 17. Let z be a(-17). Suppose -4*b + z = 13*b. Calculate the remainder when 358 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3864 and (1104\/168)\/((-9)\/(-63)).\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.764 to the nearest integer.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256 (base 7) in base 3?\nAnswer: 2001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**3*l**5 + 4060*g**3*l + 2*g**3 + g**2 + 3*g*l + 12254*l**5 - l wrt l.\nAnswer: -180*g**3*l**3 + 245080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -109. Does b = 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239899.08 + 239899. Let y be -1 + (-26)\/(-3) + 0. Let f = y + -25\/3. Which is the closest to -0.1? (a) f (b) m (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*p - 26 + 6, 3*m = -p + 16. Suppose 4*l - 2*f - 51 = f, -m*l = -f - 50. Solve -2*s = -4*y + 8, -5 = -l*y + 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) + (-216)\/315\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001011110 + 10?\nAnswer: 1110001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*g - 80*g - 4567 = -a, g + 13736 = 3*a. Calculate the lowest common multiple of a and 9.\nAnswer: 41193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187 + 26*s - 177*s - 68*s - 2*s**4 - 262 + 11*s wrt s?\nAnswer: -8*s**3 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119313 - -220082. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1131 - -2256. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 4*y + 5. Let n be j(-4). Suppose -n*t - 2 = -l - 27, -5*l - 5 = 5*t. Suppose -3*g + 320 = t*b, 5*g + 320 = -0*b + 4*b. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*q - 5 + 5 - q - q + q - q + q + q + 0*q + (-1 - 4 + 3)*(-2*q + 3*q - 2*q) - q + 5*q - 3*q + q - 3*q + 3*q - q - 3 + 3 - 4*q - q + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-986)\/87 + -31 + (-4)\/(-6)*-1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 + 65 - 157 + 40 - 53*b**2 to d*b + a + l*b**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(20)*-2 + sqrt(10)\/(sqrt(2) + sqrt(4)\/sqrt(2))))**2.\nAnswer: 245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 5*i + 15, 3*i = -3*s + 9. What is the lowest common multiple of 48 and (135\/18)\/(1\/s)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 less than -8.15?\nAnswer: -8.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 6:54 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120147865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Suppose -20 = -5*f - 20. Let q(c) be the third derivative of 7\/60*c**5 + 0*c + f*c**4 - 3*c**2 + 0 + 0*c**3. Give o(q(j)).\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2717 + 13*i + 902 + 905 + 912. Let p(c) be the first derivative of 3*c**2 + c - 1. Determine 4*a(m) - 9*p(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 23*g - 46 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Suppose -2*k - m + 2 = 1, 8 = -4*k - 4*m. Suppose 3 = j*b - k*b. Sort -1, b, 0.2.\nAnswer: b, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 8 + 2. Let m = 64 - 61. Suppose 16*k - 17*k = -m. Calculate the least common multiple of c and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4766683.\nAnswer: -3\/4766683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)*g\/(g*g\/g**(3\/17))*((g\/g**6)\/g*g)\/g**(2\/5) assuming g is positive.\nAnswer: g**(-1889\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 86*w**2 - 2*w - 96*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 60191543+-3\nAnswer: 60191540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 9174360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-240 + -3)\/3 + -4. Let g = s - -162. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.035672 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33935 and -0.09.\nAnswer: 3054.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -118, -110, -98, -82?\n\"Answer: 2*k**2 + 2*k - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -13.9\nAnswer: -2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 divided by 74?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtlmmmmmtmmmmltumm. What is prob of picking 1 t and 1 u?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 30043 + 30021 = -2*q, q + u - 9 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*v - 256. Let k be (12\/(-16))\/((-60)\/v). Find x such that 0 - 2\/5*x**3 + 2\/5*x + 2\/5*x**4 - k*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -21. Let u(k) = k**3 + 2*k**2 - 3*k + 4. Let s be u(h). Let v(w) = 2*w - 4. Let o be v(s). Solve o*a + 20 = 0, -a - 5 - 4 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abqammbabmmkaaka. What is prob of picking 1 a, 1 k, and 2 b?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6186 (base 14) to base 10.\nAnswer: -16778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 5. Let c(k) = -2*k**2 + k + 2. Let u be c(0). Let i = -7 + u. Let t(w) = -1. Let x(y) = i*t(y) + z(y). Differentiate x(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 817003 and 187561.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -110000?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3618)\/(-297) - 12)\/(2 + 36\/(-11))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) -0.2 (d) 2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 2*d**4\/3 + 25*d. Let b(h) = 2*h**2. Determine a(b(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cowgwocqgggqcggcocgw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103249 + -74.3.\nAnswer: 103174.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/41 - -88\/123. Let b(j) = -4*j - 58. Let i be b(-15). Factor 0*o**4 + 0*o**i - k*o + 4\/3*o**3 - 2\/3*o**5 + 0.\nAnswer: -2*o*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - u = -6*u + 30, -u + 5 = 0. Suppose -g*r + r + 2264 = 0. Suppose 1513 = 11*s - r. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/35)\/(2\/4). Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 6)*((8*n**2 - 1 + 1)*(4*n + n - 3*n) + 2*n**3 + 13*n**3 + 20*n**3).\nAnswer: 408*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 64 + 28 = 4 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23414 + 45?\nAnswer: -23347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4206 (base 7) to base 10\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -39. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + 9 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4039.89cm to kilometers.\nAnswer: 0.0403989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**2. Suppose -5*a + 5*s = -10, 2*a + s = -0*s - 2. Let o(l) = 1 + 2*l - 1 + a. Give o(i(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-30) - ((-10)\/4 - -1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.4. Let b = 645 + -648. What is the smallest value in b, 4, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 4*a + 204 = 0, 0 = -4*a - 8. Suppose 161 = 3*m - p. Let h = 561 + m. What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 4*t, 4*m - 3*t - 35 + 24 = 0. Suppose 5*w = w + 16. Suppose -m*l - w*l + 45 = 0. Solve 3*b + 5*u - 19 = 0, 0*b + 4*u - 30 = l*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n + 48. Determine v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7778)\/(-45)*(-10)\/(-40). Let i = l - 487\/9. What is the common denominator of i and 167\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) 3\/5 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -26*l - 2262. Calculate w(-86).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -771 - 84.842452136.\nAnswer: -855.842452136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 209 - 103 = 53*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 12:33 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550 divided by -50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -567513, -568399, -569285?\n\"Answer: -886*h - 566627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 3*6\/(-9). Let z be -3 + s - (-41 - 0). Let l = z + -16. What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 + 6 + -2. Suppose 0*l - 4*x - 13 = -3*l, x + v = l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394892*m**3 - 442082*m wrt m.\nAnswer: 2369352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/8)\/((-12)\/8))\/(6\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111\/364 - -1\/52. Which is the closest to h? (a) 0.5 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2.2, -3, -8, -0.099?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q**2)*(2*q - 5*q + 4*q) + (-q + 0*q - 2*q)*(4*q**2 + 3*q**2 - 5*q**2) - 3 + 3 - q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**34)**(-3\/8) assuming v is positive.\nAnswer: v**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5 + 0*u + 3*u + 3*u + 3. Let t be a(2). List the prime factors of t*((-33)\/(-6) - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22507410 and 2.\nAnswer: 22507410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1234 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1279, 11, 5, -1 in ascending order.\nAnswer: -1, 1\/1279, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11553837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -497 (base 11) to base 13.\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, -9 in increasing order.\nAnswer: -9, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5\/5 + 88*d**4\/5 - 68*d**3 - 16*d**2 + 1424*d\/5 - 1088\/5 = 0.\nAnswer: -2, 1, 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113296 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -1\/2*m**2 + 0*m + 1\/3*m**3 - 59. What is k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -76. Put l, -5, -1 in descending order.\nAnswer: -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**4\/24 - 3*s**2 + 8*s. Let q(j) = 260*j**2. Give q(k(u)).\nAnswer: 260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 13. Let n be r(0). What is the third derivative of 13*y - n*y - 6*y**4 - 2*y**2 wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**3 + 7*c**2 - 28*c + 7. Let b(q) = 5*q**3 - 6*q**2 + 29*q - 6. Calculate 7*b(k) + 6*m(k).\nAnswer: -k**3 + 35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 53*u = 840. Suppose -3*b + 198 = -3*z, -u = z + b - 3*b. Is -66 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from zzzlzzzllzlzzzzl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 9*d**2 - 7*d + 10. What is z(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnttnntttnntt. What is prob of picking 1 n and 2 t?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 12, 5*i - 5*l = 7*i + 14. Let v(w) = -4*w - 4. Let c(a) = 5*a + 4. Calculate i*v(m) + 2*c(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 2*g - g - g + (0 - 2*g + 0)*(-2*g**2 - 2*g**2 + 3*g**2) as c + r*g**2 + u*g**3 + i*g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ee5d (base 15) in base 12?\nAnswer: 7398a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62059 - -61978.346. Let f = h + 81. Let n = -0.43 + f. What is n rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + s + 16, -4*s = 0. Suppose 0 = v - 4*z - i, -4*v + 3 = 2*z - 7. Suppose 251 = v*l - 3*d, -4*l + 241 = -d - 0*d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 16*t + 88. What is o(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4 + 33738*p**3 + 135033*p**2 - 371268*p + 202500 = 0. Calculate p.\nAnswer: -6, 1, 11250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let q(p) = 353*p**2 - p. Determine q(j(h)).\nAnswer: 3177*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, p: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 467*u + 73578. Give a(-156).\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.073 - -0.043. Let a = 21.2 - 21. What is the nearest to -1 in a, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Let b be (5 - 402990\/(-54)) + n\/18. Suppose -14*x - 2*a - b = -16*x, 2*x - a = 7471. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2473966 milligrams in micrograms?\nAnswer: 247.3966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -7570.\nAnswer: -1\/1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 29*p + 68. Calculate r(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928 - 74 = 122*j. Let c(x) = -x**2 + 7*x - 25. Calculate c(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*h - 92 = 0, 3 = -2*h + 11. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*q + 2450 = -208574. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-3)*(-2)\/30*(-414)\/115\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:20 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112.203 - 0.203. Let k = 112.000049 - a. Round k to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 3, 216 in descending order.\nAnswer: 216, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118267015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(128) + -1 - (4 + sqrt(128) + -2 + sqrt(128))) + 1)**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:07 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + -4 + (-3 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(8064))\/sqrt(7))\/(sqrt(36)\/((sqrt(90) - (-1*sqrt(90) + sqrt(90)))\/sqrt(10))).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2199118 * 0.3.\nAnswer: 659735.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*o**2 - 136*o**2 + 25*o**2.\nAnswer: -280*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {a: 3, r: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 - p + 2. Let d be r(1). Let w = d + 24. What is the least common multiple of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.732*24453\nAnswer: -17899.596","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841776?\nAnswer: 2, 43, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let z be d\/((-1)\/(4\/6)). Let l = -6 + 5.6. Which is the smallest value? (a) l (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11552 + 4?\nAnswer: -11545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 230155700 rounded to the nearest 100000?\nAnswer: 230200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 687\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1198.000001956 + -1198. Round z to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12410 = -65*u - 105*u. Calculate the greatest common factor of u and 4088.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/45)\/(98\/(-1225)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 - 2*l - 3. Let p be y(-3). Let d = 2 + p. Solve -d*s - 2*w - 23 = w, -s = -4*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 14*y + 6 = 2*i, -4*y + 3*i = 7. Let q(l) = 2*l**2 + 9*l + 1. Calculate q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*n**3 - 10836*c*n + 1552*c - n**2 + 14 wrt n?\nAnswer: 3*c*n**2 - 10836*c - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 3, 5, 2, -67, -3 in descending order.\nAnswer: 5, 3, 2, -3, -67, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2695, -5060, -7427, -9796, -12167, -14540, -16915?\n\"Answer: -w**2 - 2362*w - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2 + 1. Suppose -27 = -79*s + 52*s. Calculate c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33950670 and 27?\nAnswer: 305556030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/31 (b) 0.5 (c) -17 (d) -18 (e) -55 (f) 0.2 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 5. Let x be i(-7). Suppose -g + 4*v = -30, 112 = 5*g - x*v + v. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*j + 235 - 71, 14*l - 589 = -j. Suppose 3*r = 8*r - 350. What is the greatest common factor of l and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2807*p**4 - 9*p + 39*p**2 - 611*p**4 - p + 94*p**2 wrt p.\nAnswer: 52704*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2828640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 + 8*j**2 - 29*j**2 + 11*j**2. Let i(n) = 2*n**2 - 20*n. What is i(h(z))?\nAnswer: 8*z**4 + 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 6*q - 6. Let a be t(8). Suppose 0*u - 5*u + a = 0, -4*u = -3*x + 34. Suppose w - 1 = 26. Calculate the remainder when w is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -36 - (0 - -33).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42410 (base 8) in base 10?\nAnswer: -17672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -1 + -1 + 1.\nAnswer: -1 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3201, -8\/3, -0.4, 0.5.\nAnswer: -8\/3, -0.4, -8\/3201, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at least 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169785853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56114817000 rounded to the nearest one million?\nAnswer: 56115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2756.8 - -3371. Let i = m - 560. Let l = 54 - i. Which is the closest to l? (a) 3 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d9 (base 16) to base 9\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8592 a factor of 856003776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 15. Suppose -5*x + 5*h = 0, -3*x = -0*x - 4*h - 2. Sort -6, u, x in decreasing order.\nAnswer: x, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-403)\/4) + (-25)\/(-100). Suppose -8*s + u = -114. Suppose 0 = 2*r - 157 + s. List the prime factors of r.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from vxhhh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 6. Let x be r(9). Suppose -x*n + 4 = 1. Solve 2*s + 2 = 3*i, 2*s = -1 - n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 6*n + 6. Calculate h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.67 + -0.33. Put 1\/2, o, 3 in descending order.\nAnswer: 3, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 the greatest common factor of 41503 and 38269?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17455 + 17454.9999985639. Round d to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/7048112 and -141\/490.\nAnswer: 1726787440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1618130, -1618143, -1618170, -1618217, -1618290, -1618395, -1618538?\nAnswer: -1618725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*k + 3965 = -6099 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-13)\/b))\/b)\/b**(-4\/13))**10 assuming b is positive.\nAnswer: b**(1860\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*a = 677 + 9799 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16820*l**2 - 369775*l**2 - 41820*l**2 - 18044*l**2.\nAnswer: -446459*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 6*g**2 + g - 3. Let d be t(6). Let a = 196 - 194. Solve d*l - 5 = -a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -15. Suppose 2*i + 28 = 4*i + 3*y, 0 = -4*y + n. What is the greatest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, b: 2, e: 3, y: 6}. Give prob of sequence sb.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77.6 + 75.6. Sort 0.3, d, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 660935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y - y - 2*y)*(34 + 2*y**3 + 0*y**3 - 6)*(119 - 506 + 223) to the form i + v*y**4 + b*y**3 + w*y**2 + n*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487 - 483. Let o(f) = 2*f**2 - 3*f - 1. Let n be o(3). Solve 0 = -p*i + n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574133.\nAnswer: 7, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -113. Solve 5*s = 5 - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 404*b**3 - 403*b**3 + 3*b + 8*b**2 - 1 + 0*b as o*b**2 + h*b**3 + q + k*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.24 + 24.3. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Solve 0 = -q + 6*k - 4*k + 3, -x*k - 10 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-216)\/45)\/((-6)\/(-20)). Let x be ((-10)\/8)\/((-4)\/g). Put 0, x, -17 in descending order.\nAnswer: 0, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -146, -140, -132, -122?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359963051\/3 or -119987683?\nAnswer: -359963051\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let u be (3 + w)\/(-2 + -2). Let v = 0.1 - 2.1. Which is the third smallest value? (a) v (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 4 - f**3 + 4*f**3 + (-5*f + 5*f - f**2)*(0*f + f - 3*f).\nAnswer: 3*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6168340931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 171*w**2 + 21*w - 1011. Is q(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2. Let y(v) be the second derivative of 0 + 1\/2*v**2 + 1\/6*v**3 - v. Let p = -1574 - -1573. What is p*r(a) - 2*y(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9804, 19506, 29004, 38196, 46980, 55254?\n\"Answer: -17*l**3 + 9821*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186828813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1 - -6) + -5 + 14 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 110100101001010?\nAnswer: -110100101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 84. Solve v = j*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b + 5119 - 399. Suppose 2*i - 406 - b = -3*f, -3*f - 4*i + 642 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102031067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 3*f**2 - f + 3. Let p be l(-3). Suppose -g - 615 = -619, -y + 32 = -3*g. What is the greatest common divisor of y and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*p**2 - 379*p**2 + 188*p**2 - 44*p + 44*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/9*21\/(-14). Suppose -105 + 37 = -n*y. Calculate the remainder when 52 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -181 + 172 - (1 + -2 - (-5 - -8 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.94 + 0.06. Suppose 3*y - 19 - 2 = 0. Let l be ((-6)\/15)\/(y\/5). Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Suppose -4*p + 25 = -b*t - 11, 3*p + 4*t - 5 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192193986 divided by -1033301?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 6 + 3)*(2*i**2 - 2*i**2 - 2*i**2) + (38*i**2 + 15*i**2 + 49*i**2)*(1 - 1 + 1) as c*i**2 + o + v*i and give c.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f + 12. Let q be 1\/(-4 - 57\/(-15)). Let r be u(q). Is r bigger than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3078162 divided by 6?\nAnswer: -513027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 114 = 38*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/60 + 2087*f**4\/24 + 50*f**3 - 1555*f**2. What is the derivative of x(h) wrt h?\nAnswer: -2*h + 2087","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -55, -84, -117?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*d - 40, 5*i = 3*d - 4*d + 134. Suppose 9*x = 14*x - 30. Factor -i*o**2 + 5*o**2 + 11*o**2 + 15*o**2 - 13*o - x.\nAnswer: (o - 3)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 26*d**3 + 26*d**2 + 46*d - 310. What are the prime factors of s(14)?\nAnswer: 2, 23, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(((-270)\/6750)\/(3\/(-10)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-35)\/(-3)) + -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.6 + -7.471. Let b = -2.021 - d. What is b rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 + -116 + (-7 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 147 + 1 - (-1 + 0). Suppose 0 = -5*n + 4*f - 32 + l, -4*f - 75 = -3*n. Does 24 divide 4\/14 - (-1002)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27142, 54284, 81426, 108568, 135710, 162852?\n\"Answer: 27142*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409915162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h. Let t(f) = -2*f**2 - 3*f + 3. Let v(a) = -3*a**2 - 5*a + 5. Suppose -22 = -5*b - 7. Let d(o) = b*v(o) - 5*t(o). What is i(d(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w + 0 + 3 - 2*w**2 - 3*w**4 - 6 - 13*w as c*w**3 + f*w**4 + i*w + o + k*w**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 - 70901*d - 70681*d + 141582*d.\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.37. Let t = 1.13 + -0.1. Let o = g + t. What is the nearest to o in -3, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 41*j**5\/20 + 2*j**3 + 6*j. What is the second derivative of a(s) wrt s?\nAnswer: 246*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z**(1\/4)\/z)\/z)\/z*z)**(-25))**(3\/2) assuming z is positive.\nAnswer: z**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626 is divided by 330.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -242427.56 and 0.073?\nAnswer: 242427.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:18 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= 303\/11755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529043843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2842*u + 4308*u = -4267*u - 28665 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -26*n - 68, 9*n - 9*l + 4 = 11*n - 0*l - 11*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4483*t**2 + 4491*t**2 + 4553*t**2 + 4483*t**2 - 18012*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d - 5. Let g be k(-5). Suppose x - c = g, -2*x + 0*c = c - 45. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 times -0.081?\nAnswer: -12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 3 = -4. Let l(y) be the first derivative of y**3 - y**2\/2 - 2*y + 1. Let w(n) = -4*n**2 + 1 - n**2 + 4*n**2. Calculate t*l(g) - 2*w(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*(5 + 9). Suppose 0*g - 2*r = -3*g + s, 3*g - 49 = -5*r. What is the remainder when 37 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 570, -214, 4, -232 in ascending order.\nAnswer: -232, -214, 4, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvvu when four letters picked without replacement from vvvvuvvuuvuu?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*d - 3 = 0, g - 3*d = -d - 1. Solve 2*q - q - 5 = -g*k, k - 3*q - 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*b**4 + 105*b**3\/2 + 44*b**2 + 8*b.\nAnswer: b*(3*b + 4)**2*(4*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 164*g - 162 = 0.\nAnswer: 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 4*g - 6. Suppose -5*x + 36 = 3*y, x - y - 3 = 1. What is the units digit of o(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 59\/6 - 2\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 150, 236, 332, 438, 554, 680?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 3468859617601?\nAnswer: -3468859617599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 245251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.99 - -0.01. Let x = 0.4 - 0. What is the third biggest value in x, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.124 - 97.876. Let j = o + 203. Let v = 104.99999906 - j. What is v rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*v - 200*v + 115*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 - 1. Let z be m(-2). Suppose 0 = 2*n - 5*k - 65, 6*n + k - 122 = n. Let s = n + z. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejxqgbbgbbbgqq. What is prob of sequence gbxb?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*p = -70, 4*p - 203 = -8*l + 3*l. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cd665 + -1?\nAnswer: -1cd666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1157845\nAnswer: -2\/1157845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.953 - -0.047. Let c = -22.9992 + g. What is c rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105\/(-462))\/5)\/((-24)\/176).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*f = -1625, 0 = 5*f - 5 + 10. Is w 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 36940971 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v**2 - 167323729560 + 167323729560.\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7729 - (-2 + 6 + 2).\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980104 a multiple of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c - 7. Let l(z) = -6*z - 2281. Give w(l(q)).\nAnswer: -90*q - 34222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 345081272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 6845 + 5892*j**2 + 5*j**4 - 172*j**3 + 1698*j**2 - 15418*j - 122*j**3 + 1358*j - 86*j**3 = 0.\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*t - 1 = 5, 0 = 5*l - 5*t - 10. Let v(g) = 2*g**2 + 8*g + 11. Let w be v(-5). Suppose l = 2*h - w + 3. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21\/5*z**3 - 9\/5*z**4 - 297\/5*z + 0 + 117\/5*z**2 = 0. What is z?\nAnswer: -11\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 88*b - 150. What is the tens digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*3*112\/(-12). Let k be a\/(-49) + 37\/7. Find the second derivative of 0*x - k*x**4 + 2*x**4 + 4*x wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 29 + 99 + 2 = -22 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + w - 7 = 0, -2*o + 0*w = 2*w + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199270512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 17*x**5\/10 - 5*x**4\/12 + 2*x**3\/3 - x**2 + 64*x. What is the tens digit of s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s**2 - 11*s + 10. Let k(f) = -4*f**2 + 4*f - 4. Let v(i) = 3*c(i) + 8*k(i). Determine v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and 68.\nAnswer: -7004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*o - 3*b + 16, -5*o + 3*b - 24 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - x. Calculate d(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -142*d. Suppose -4*a - 4*l - 4 = 0, 0*l - 2*l - 8 = -a. Let c(g) = -882*g + 882*g - 2*g**a. What is c(p(w))?\nAnswer: -40328*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rprjjrrpeppjjpjjjr. What is prob of sequence ppjr?\nAnswer: 35\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2607*i + 2584*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03541925 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -76, -114, -156?\n\"Answer: -2*r**2 - 28*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217 - -244054?\nAnswer: 243736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2\/33*z**3 + 233 - 13\/11*z**2 + 72\/11*z. Factor p(j).\nAnswer: 2*(j - 9)*(j - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 135 = 5*t, 2*t - 4*s + 3*s = 63. Let y be 325\/3 + 20\/t. Suppose -3*g + 4*g + 4*v - y = 0, 3*g + v - 272 = 0. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25722541 and -6460.7.\nAnswer: -25729001.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {h: 1, t: 2, y: 1, u: 1, n: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Let g(d) = 15*d - 1. Let x be g(u). What is the remainder when 8 is divided by (-2)\/4 + x\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 334.02 - 333. Let l = d + -1.09. Which is the nearest to 0? (a) -2\/7 (b) l (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((1 - 3) + 1 + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22*(37\/(4625\/100))\/((-16)\/(-30))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171164803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 74. Calculate q(36).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 0, 0 = 3*l - 11*u + 13*u - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 2)*(-2 + 0 - 3)*(-2*p + 0 - 3 + 5)*(-2 + p + 2)*(2 + 2 - 3) to the form d*p + j*p**2 + q and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1 (b) -2\/7 (c) 0 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:35 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*q - 50 = -14, 0 = -3*c - 3*q + 3. Let l = -145 + 535. Let x = -373 + l. Calculate the remainder when x is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.007 + -0.07. What is k rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2035, -2391, -3227, -4783, -7299, -11015?\nAnswer: -16171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -442151 (base 7) to base 11\nAnswer: -53339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.2, 0, -15, 65?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27662 (base 9) to base 13\nAnswer: -8708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223334513 + 11?\nAnswer: -223334502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 8*b + 1. Suppose -33 = 7*h - 18*h. Suppose q + h = -4. Calculate a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113f (base 16) to base 7.\nAnswer: -15605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5388 - -7610. List the prime factors of f.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 63*r + 129. Let d be f(16). Let c = d - 678. Is c a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.702 + -2.202. Which is the closest to 48? (a) r (b) 0.2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in 3, 0.3, -499\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, i: 1, r: 1, b: 1, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72078*g - 24015*g - 24024*g - 24021*g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(198) - (5*(sqrt(198) + sqrt(198)*-1) + sqrt(198) - sqrt(198))) + sqrt(198) + sqrt(198))\/sqrt(11))**2.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 115*n + 3199. Let z be w(-46). Solve -6*c + 114 = -z*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 9*l = -8*l, -6*f + 4*l = 0. Suppose f = -5*y + 9*y - 83572. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6444*a**4 + 6902*a**2 wrt a?\nAnswer: -154656*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15031*m + 15004*m - 29537*m.\nAnswer: 498*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 848 - 849. Which is smaller: -0.067 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 4. Let l be 3*(o + 16\/6). Suppose -l*g + 12 = -7*g. Solve -10 = g*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54826 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -8\/6237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 4*o, -5*i + 4*o + 0 = 4. Suppose -3*z - l + 2342 = i, -6*z - 4*l = -z - 3901. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-7)*(-47)\/8460*-25\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5359000677 - 0.5359. Round q to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 265*t + 3. Let w be z(1). Suppose w = -8*o + 4*o. Let b = o - 5. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44148, 85775, 127398, 169017, 210632, 252243?\n\"Answer: -2*k**2 + 41633*k + 2517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 23 = 9. Does 13 divide c\/(2*3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v. Let n(h) = 5673687*h. Determine n(o(q)).\nAnswer: 11347374*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-23 + 23 + 10*d)*(41*d**3 - 335 + 335).\nAnswer: 820*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11138*g**2 + 5*g - 145424 wrt g.\nAnswer: 22276*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3807662 = 64*a - 62*a. Let r = a + 3268831. Suppose -10*n + 15*n = -r. What is n rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -8. Let f = -1 - z. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 994890246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 4*d - 9. Let t be b(-6). Suppose 0 = -g - t*o + 54, 3*o - 54 = -g - o. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387755.\nAnswer: 5, 77551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 - 9693*d**4 + 9*d + 2 - 6*d + 9313*d**4 as x*d**4 + j + m*d**3 + s*d**2 + u*d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 - b + 5. Suppose 4*f = 2*f. Is g(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let c be f(0). Let v = c + 13. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 5. Let c(u) be the second derivative of -u**3\/6 - u**2\/2 - 3*u. Let f(o) = b(o) + 3*c(o). Suppose -m = -2*m - 5. What is f(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:24 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3077 + 426 + 15*u + 0*u - 10*u.\nAnswer: 5*u + 3503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-16))\/(((-6)\/268)\/1). Let v = -17 + m. Put -0.2, -3\/4, -0.4, v in descending order.\nAnswer: -0.2, v, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (8 - (1 + -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 13*s - 12. Let i be o(-5). Suppose 74*b + 92 = i*b. Calculate the highest common factor of b and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1444*u - 460*u + 37995 + 53517 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -377 + 488. Let y(f) = -103*f - q*f - 264*f - 12*f. Let u(s) = s. Determine y(u(l)).\nAnswer: -490*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -15 - -27 - (17 + -61)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-4\/3)*v)\/v))\/v)\/(v*v**(2\/9))*v\/(v\/v**(-3\/4))*v**(2\/15)*v assuming v is positive.\nAnswer: v**(89\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 89. Let h = -13 - q. Let s = -1.3 + 0.3. Which is the closest to h? (a) 3\/5 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10594 plus -0.3?\nAnswer: -10594.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828323 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001381 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, o: 1, f: 1, b: 1}. Give prob of sequence fo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 20*z - h - 40, -2*z + 7*z - 22*h = -112 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3 + 5. Suppose -3*j - 131 = -2*v - 6*j, -10 = -s*j. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 - 0.2. Let f = 0.3 - 0.33. Put 0.1, s, f in descending order.\nAnswer: s, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*k + 0*k = -16, -2*k + 4 = 0. Let a = c - -5. Which is bigger: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-8 - -4)\/4. Let t(b) be the third derivative of 0*b + 0 - 2\/105*b**5 - 1\/21*b**3 + 5\/84*b**4 + 5*b**u. Let t(q) = 0. What is q?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/294, 2, 3?\nAnswer: 1\/294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8112*n**4 - 3*n**3 + 11892*n**2 wrt n.\nAnswer: -194688*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96572*t**4 + 4*t + 2124723?\nAnswer: -386288*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 10:56 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4 + 28*p**3\/3 + 8*p**2 - 48*p - 201. Determine q, given that f(q) = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:56 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38567 (base 9) to base 4.\nAnswer: 12111331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 < 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4465?\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 134374 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 2\/5, -47, 0.1.\nAnswer: -47, -1.2, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) -0.1 (c) -3 (d) 538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 106*x + 62*x - x**2 + 44*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n*u**3 - 29519*n*u**2 + 3*n*u - 11*n - 10275*u**3 - 2 wrt u.\nAnswer: -36*n - 61650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 6. Is 16 a factor of v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + (-1 + sqrt(363) - sqrt(363))*5 + 2)*5 + 4)*2)**2.\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121215 - -200162. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6395 - 6163. What is the lowest common multiple of r and 406?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-9))\/(2\/(-3)) + 28. Suppose t - 29 = -c. Is (-1 + -2)\/(c\/((-41)\/(-1))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*66\/1925 - (-2)\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + (-775)\/(-133) + -124*72\/(-10416).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 15. Let j = 26 + -15. Let o = -6 + j. Solve -o*y - p = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a century in months?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/40)\/((-28)\/140))\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + (-292)\/36)\/(188\/36 - 5). Solve 5*u + 18 = -y*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*5)\/((-10)\/(-25)*15\/(-12))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41de + 22e?\nAnswer: -3eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 10:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 - 46515\/(-10)*44\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193599 by 9219.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y. Let s(z) = 1122500*z. What is j(s(l))?\nAnswer: -8980000*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 13*h - 65. Suppose -h*w + w = -3324. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34384 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-10))\/(y*y**(-41)*y) assuming y is positive.\nAnswer: y**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1.4 (c) -2\/9 (d) -0.4 (e) 5 (f) -0.3 (g) -16\/45\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138771203*g - 7 + 138771203*g + 4*g**2.\nAnswer: 4*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:39 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*t**3 + 236*t**2 - 466*t**3 - 109*t**2 - 127*t**2.\nAnswer: -567*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -449 + 93. What is the remainder when t is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.49741mm?\nAnswer: 0.449741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 5 + 0 - 3)*(2*m + 3*m - 4*m)*(0 + 1 + 2).\nAnswer: 9*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66048 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avaaaava. What is prob of picking 1 a and 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a4a - 302?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3256 at most 15703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 3*u + 3*u + (3 + 0 - 1)*(2*u - 4 + 4) + 9 + 3*u - 9 - 3*u - 8*u + 4*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 11:24 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 209513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, q: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2434 - 9543\/4. Let r = -49 + s. Let m = 0.01 + 3.99. What is the second smallest value in m, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l**3 + 6*l**2 - l + 3. Give j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296, -288, -268, -230, -168, -76?\n\"Answer: n**3 + n - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -231*a. Let z(d) = 23*d. Give -2*n(c) - 21*z(c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/((o*o*o**(-2\/3))\/o))\/o*o))\/(o**(1\/2)\/o)*(o*o*(o\/o**1)\/o)\/o**(-4) assuming o is positive.\nAnswer: o**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q + 20. Let r(g) = g**2 + 7*g - 5. Let f be r(q). Calculate the common denominator of -62\/3 and 3 - (f\/8 + -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 - 43*a + 5 - 2 to h + t*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 17. Let r be o(-7). Suppose 5*b = -x + r*b + 417, -3*b - 2020 = -5*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1611 - 2501?\nAnswer: -4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = g - 314. Suppose -4*p - 3075 = 3*t + g, -t - 1874 = 2*p. What is the common denominator of 6\/9 + p\/72 and -11\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 415 + 367 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-2)*2\/(-3). Suppose -d - 4 = m*d. Let u(p) = 3*p**3 - p**2 - p - 1. Calculate u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -83. Let y(g) be the first derivative of 0*g**3 + 0*g + 0*g**2 + 0*g**4 + 1\/5*g**q + 2. Suppose y(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -bb238?\nAnswer: bb239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 6*x**2 + 2*x - 5. Let f be k(-4). Let j be f*(-4 + 65\/15). Let g(d) = -d**3 - 12*d**2 - 22*d - 8. Is g(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 188 - 33 = 4*y, -2*r = 4*y - 114. Suppose -b = 4*b - n - 31, 4*n - 2 = 2*b. Calculate the remainder when r is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 25*o**3 + 7*o**3.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -105.07631\nAnswer: -105.06631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313077089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65777 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17\/15 + 127\/15. Let -z*f**2 - 8\/3 - 8*f - 2*f**3 = 0. What is f?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63187423, 126374851, 189562279, 252749707, 315937135?\n\"Answer: 63187428*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/247?\nAnswer: 11\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 - c - 4. Let k be r(-9). Let n be 12\/(-9)*(-2 + k). Is -4*(2\/n + 0) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d**3\/5 - 1936*d**2\/15 + 3386*d\/15 + 4 = 0. What is d?\nAnswer: -1\/57, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 0)*(17*y + 24*y + 4*y) + (-5 - 7 + 3)*(3*y + 3*y - 4*y))*(-4*y**2 - 2*y**3 + 4*y**2 + (-2*y + 2*y + 2*y)*(-y + y - 2*y**2)).\nAnswer: 648*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 46*b - 7. Let x be d(2). Let k = 92 - x. Solve 3*w = k*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9337978 decades to months.\nAnswer: 112.055736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (120\/(-100))\/(3\/(-50)). Is (-8)\/t + (-29133)\/(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78109412 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -4, -10, 0 in descending order.\nAnswer: 9, 0, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255859683?\nAnswer: 3, 85286561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298445 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10744\/3 + -3618. Let w = v + 37. What is the smallest value in w, 2\/13, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/10*(-5 - -18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Let p be 2 + ((-30)\/(-10))\/(6\/8). Calculate the highest common factor of p and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -25. Let j = 27 + f. Suppose 90 = 4*k + 2*h, -27 = -k + 2*h + j. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + (-2 + (-18)\/(-6) - 0). Solve -2*w - 4*w + z = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*d = 58, b - 2*b + 13 = 2*d. Let t(u) = 11*u**2 + u + 2. What is the remainder when t(2) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.917616 micrometers?\nAnswer: 0.000917616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 17*o**5\/60 - o**4\/24 - 10*o**2. What is j(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -4)*0\/(-3) + -18. Let d be 6*(42\/q + 3). Which is the nearest to -4? (a) 1 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 192 = -18*p. Let l = p + -10. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-5 - -1) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 5. Let f be l(6). Let h(a) = a + 8*a + 6 + 4 - 11*a. Let q be h(f). What is the greatest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3403\/3 - 1144. Find the common denominator of -39\/8 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.8 - -16.5. What is the third smallest value in 0.15, o, -1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - b - 2 = -0*t, -t + 3*b - 2434 = -2440 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:00 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1 (c) -58006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1604 and -6.\nAnswer: -6.1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, b: 2, d: 1, p: 4, h: 6, j: 4}. Give prob of sequence qqjd.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 458121.718 to the nearest ten.\nAnswer: 458120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*g**2 - 18*g**2 - 29*g**2 - 18*g**2 - 20*g to the form f*g + n*g**2 + u and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/28 + 4*a**3\/21 + a**2\/14 - 6*a\/7 - 71. Factor c(i).\nAnswer: (i - 1)*(i + 2)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 615, 6, -2 in descending order.\nAnswer: 615, 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 254*k - 17. Let z = 55 - 53. Is o(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2*n**2 - 3*n - 20. Let b(c) = -15*c + 11. Let w(z) = 6*b(z) + 22*u(z). Let t(i) = -53*i**2. Determine t(w(m)).\nAnswer: -212*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2\/5, -3, 0.75, 0, 0.09.\nAnswer: -3, 0, 0.09, 2\/5, 0.75, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 26316.531\nAnswer: 15789.9186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 3*c + (c - 2*c + 2*c)*(-3 - 2 + 3) + 4*c - c + c)*(-3 - 5 + 59).\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 44*b**2 + b + 1. Give o(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*p**2 - 101*p**2 - 94*p**2)*(0 - 3 + 22).\nAnswer: -2546*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7914.231.\nAnswer: -15828.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 177907191 a multiple of 1640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.233835 and 13.\nAnswer: 13.233835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 0*v = -25129 + 24877 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 5480*t - 32697500.\nAnswer: 4*(t - 3625)*(t + 2255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1662, 2, -3, -81, -1 in descending order.\nAnswer: 5, 2, -1, -3, -4, -81, -1662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.71 and -29808.1.\nAnswer: -29808.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y - 16 = 0. Let t(u) = u**2 - 4 + 5 - 23*u**3 + 2*u - y*u**3. Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*y. Let x(g) = -2*g**2 + 8*g**2 + 3*g + g**2. Let l(r) = -r**2 - r. Let d(t) = y*x(t) - 5*l(t). What is the second derivative of d(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 19326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 0.5. Let i = f - 0.6. Let s = i - 0.06. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1313, 14437.\nAnswer: -2, 1313, 14437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14169, -11443, -8717, -5991, -3265?\n\"Answer: 2726*k - 16895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6349970?\nAnswer: 2, 5, 11, 57727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 51289.4 centuries?\nAnswer: 5128.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*k**5 + 157*k wrt k?\nAnswer: 1980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13656 and 2123508.\nAnswer: 4247016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5079296 months in decades?\nAnswer: 0.01256608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + j + 1188330 = 0, 0*u + 2*j = -u + 396117. Suppose -2*c = u + 243889. Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-765)\/9180)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 277 + 3. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1403084.\nAnswer: 5\/1403084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3895 and 799393441?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 931236101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.38 - 0.14. Let j = p - -0.16. Suppose 1 = -3*x - 8. Sort 4, x, j in increasing order.\nAnswer: x, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.144149.\nAnswer: 0.144149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 25. Let o(q) = -24. Calculate 3*l(y) - 2*o(y).\nAnswer: 3*y - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21918282 and 814.\nAnswer: 241101102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3294754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165809 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3112 - 3071. What is the remainder when 650 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**5 + 9*u**4 + 21*u**3 - 33*u**2 - 18*u + 24 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-12) + (2 - (-149)\/(-2)). Suppose -71 + 263 = 16*f. Calculate the remainder when 320\/18 - 16\/q is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t + 0*t**3 - 28\/3*t**6 + 0*t**4 + 50 - 47*t**2 + 0*t**5. What is the second derivative of l(z) wrt z?\nAnswer: -1120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 63*d - 128*d - 115*d. Let f(m) = 13*m**2. Give f(r(l)).\nAnswer: 421200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 137*z - 4482. Let l be f(-83). Let c be (-2)\/(-7) - 276\/(-14). Suppose -3*d = 2*d - c. Solve l = d*u - 13 + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m + v - 154799997, 4*m - 154799985 = -5*v. What is m rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {s: 11, d: 2, j: 1, e: 1}.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*v + 852, -5*a - 2*v + 683 = -734. Suppose a = -2*d + 1171. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928658 is divided by 2941.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1215\/14 - 173\/2. Let j = 4 + -11.2. Let l = j - -9.2. Put 0, l, i in descending order.\nAnswer: l, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 996100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26364 and 0.1.\nAnswer: 2636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 3*o + 4 = -65, 4*o - 20 = -4*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {w: 2, l: 1, r: 1, m: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-834905)\/45130)\/((-2)\/2*1\/(-2)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 778 or -1?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/30 - b**4\/12 + b**3\/6 + 18*b**2. Suppose 14 = h + 4*y, 5*y = h - 3*h + 19. Suppose h*c + 3*c = 5. Give i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -102 - 101 + 13*w + 308 - 98. What is y(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**3 + 4*g**2 + 93*g - 52. Let q(z) = -23*z**3 + 15*z**2 + 372*z - 193. What is 15*m(v) - 4*q(v)?\nAnswer: 2*v**3 - 93*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/s**(-2\/3))\/s)**(-1\/61)\/(s**0*(s*s*s**20\/s)\/s))**(-42\/5) assuming s is positive.\nAnswer: s**(51352\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 151*l**3 + l**2 - l - 1. What is the units digit of m(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, -5\/2, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 23. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*a + 34 = 2*t, -5*a - 20 = -3*t. What is the third derivative of -10*x**4 + t*x**4 - 18*x**2 - 16*x**5 + 0*x**5 wrt x?\nAnswer: -960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933294229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -2*t**5\/15 - t**3 + 45*t**2\/2 + 4*t - 3. Let a(c) be the first derivative of y(c). Let h(l) = l. Determine a(h(k)).\nAnswer: -8*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -2 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 13*f + 2*f. What is the second smallest value in -0.3, -2\/9, 4, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6782159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**4 + 29*x**2 - 2*x**3 - 11*x**4 + 8*x - x - 50*x**2 + 23*x**2 to the form n*x**3 + s + u*x**4 + g*x**2 + a*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51884.\nAnswer: 2, 7, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 - 9*z + 3. Let a = -12 - -21. Calculate the remainder when k(-7) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14631 >= -14633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.7. Let g = 20209 + -20212. Which is the second smallest value? (a) k (b) g (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33306432 (base 7) in base 11?\nAnswer: -1694a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 - (5 + (2 - 6)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*i**2*m*u**3 - 37*a*i**2*m*u - 2*a*i**2 + 14207*a*i*m*u**3 + a*i*u**2 - 2*a*m*u + 2*a*u - 2*i**2*m - 29*i**2*u**2 wrt u?\nAnswer: -12*a*i**2*m + 85242*a*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 56*u - 148. Let m be h(3). Let q be (221\/(-78) - -3)\/(m\/(-18)). Let a = 15 - 40\/3. Put a, -2, q in ascending order.\nAnswer: -2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46505 or -3?\nAnswer: -46505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.8, -52\/11879, 1.1?\nAnswer: -52\/11879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/2)\/((n*n**(-1))\/n)*n**(2\/13)*n*n**(-3\/26))**(-3\/19) assuming n is positive.\nAnswer: n**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-36)*(h**(-2))**16)**(-10\/9) assuming h is positive.\nAnswer: h**(1040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = -15. Let t = -20 - -9. Let a(s) = -s**3 - 10*s**2 + 10*s - 10. Let x be a(t). Sort x, 4, c in descending order.\nAnswer: 4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788069762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 547, 617, 697, 793, 911, 1057?\n\"Answer: d**3 - d**2 + 66*d + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -4*x**3\/3 - 3*x**2 + 5*x + 19. Let s(g) = -g**2 - g + 5 - 2 - 2. What is 2*j(f) - 10*s(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -588432 or -588454?\nAnswer: -588454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 758.5644 litres in millilitres?\nAnswer: 758564.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x - 134 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -54. Suppose m = -m - 4, -2*h - 4*m = q. Let w be 2\/4 + (-6)\/(-4). Solve -w*n - 10 = h*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let r = -4 - -7. Find the second derivative of 5*y**3 + 0*y**p + 3*y**r + 2*y - 4*y**3 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + ((-4)\/14)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-2) + (-5 - 0). Which is smaller: -26 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1088) - (sqrt(1088) - -1*sqrt(1088)*5 - sqrt(1088))**2 - (sqrt(1088)*2 + -2)).\nAnswer: -27198 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.9 - 38.74. Which is the nearest to 2? (a) r (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*14*243\/(49329\/(-1972))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.5 (c) -480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472763535 to the power of 1\/2, to the nearest integer?\nAnswer: 49727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = x, 4*x + 9 + 3 = m. Suppose 3*i + m*u - 6 = -u, 0 = -3*i + 4*u + 21. Solve -5 + 1 = -q + 4*l, 3*l = -4*q - i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -24*h + 6. Let m be i(3). Let v = -43 - m. Let p = v + 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1100) - 1*(sqrt(1100) + 2) - sqrt(1100))**2 - (sqrt(1331)*-2*6*-4)**2.\nAnswer: -3065520 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c0db2 (base 14) to base 12.\nAnswer: -3273528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1379 in descending order.\nAnswer: 3, 1, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 0 + -2 + 2. Find the first derivative of -3 + l + 5*j**2 + 1 wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3245 + -3243. Let x = 3 - 3. Solve x = -g - u*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 7*b**2 - 7*b + 10. Let q be v(-8). Suppose -8 = -5*g + q. Solve 3*z - g*z - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4183 and 38359.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.09 - -0.09. Let k = 71.9049317161 + 0.0950695439. Let h = k + b. What is h rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 6)\/1*18\/(-24). Find the second derivative of -13*o - 3*o**5 + 4*o**5 - f*o**5 + 29*o**5 wrt o.\nAnswer: 540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o - 196 = 29*o + 21*o + 34*m, -2*o - 34 = 3*m for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 - (-54)\/36. Let f = -361 + 152. Let m = 208.9 + f. Put 2, -2, m, c in increasing order.\nAnswer: -2, m, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 12 (b) -2.6 (c) -45 (d) -2\/5 (e) 4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.1 + -15?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1126.4, -204, 4 in ascending order.\nAnswer: -1126.4, -204, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.054 less than 3242202?\nAnswer: 3242348.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8605 = 2*m, 0 = m - 318*y + 313*y - 4297. List the prime factors of m.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-15)\/(-6))*2. Let j(s) be the second derivative of -s**5\/20 - s**3\/3 + s**2 - 247*s. Let b(n) = n - 1. Determine t*j(c) + 2*b(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-60)*((-2)\/7)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 5:21 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 46 - 126 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(432) - (0 + sqrt(27) + -5))**2.\nAnswer: -750*sqrt(3) + 16900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (528\/(-22) - -26)*32. Solve 58*w = 74*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = -j, 0 = 6*l - 3*l - 2*j - 20. Let o = -3 + l. Suppose 3*f = o*f - 6. Which is the second smallest value? (a) -4\/3 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:43 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, -0.3, -2\/993, -2, -76, 0.1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2494 is divided by 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*f = -292*f + 24*f + 1052. Solve 2\/7*d**3 - 8\/7*d + 16\/7 - 4\/7*d**f = 0 for d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316109 - 1014221 = -6912*k for k.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 93 - 140 - (5 + -49)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7290\/12393)\/(3\/(-187)))\/((-2)\/3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 563*c - 17793. Calculate x(32).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 times -23.046?\nAnswer: -8.52702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*x + 25, 0*x + 2*x = -10. Suppose q = 2*z + 1 + 3. Let y be (2 - 42\/9)\/z. What is the biggest value in 0.3, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 15*b**2 + 16*b - 9. Let v be p(-13). Suppose 0 = -3*s - 4 - 5, t = -3*s - 88. Let f = t + v. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49124 and 0.02.\nAnswer: 982.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o - 13. Let i(x) = -2*x**2 - 2*x + 61. Let l(a) = 4*b(a) + i(a). Let w(q) = 17*q**2 - 6*q - 26. What is 8*l(y) + 3*w(y)?\nAnswer: 3*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 1, -1, 3.\nAnswer: -1, 1, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-96))\/((-6)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -9*z**3\/4 - 6509607*z**2\/8 + 7594563*z\/8 - 542469\/4 = 0.\nAnswer: -361646, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 4. Let f be m(10). Let i(q) = q**2 - 18. Let w be i(-4). Let j be (((-208)\/(-12))\/w)\/(1\/(-3)). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)*u**(-5)*u*(u\/(u**(-1)\/u))\/(((u\/(u\/((((u\/(u\/u**(-4))*u)\/u)\/u*u)\/u)))\/u)\/u))\/(u**(-2\/9)*u**(1\/5)*u)**41 assuming u is positive.\nAnswer: u**(-1849\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 11*t**2 + 28*t - 15. Let b be a(13). Let m(q) = q**2 - 12*q + 9. Give m(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350525 and 2800.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/15 + -4)\/(3\/(-18)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1331167*b = 1330538*b - 33337 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {s: 3, p: 1, b: 5, t: 3}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6708 and 5616.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 50?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21\/105 - (-1 + 184\/20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-108)\/(-75)*5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 28*y**2. Let v(g) be the first derivative of g**2 + 31. Give u(v(a)).\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/50556 and -145\/20856.\nAnswer: 7987848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -x + 5*m, -5*m + 4*m = -5*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172.1 and 145.\nAnswer: -24954.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 84, 5, 21, -486 in increasing order.\nAnswer: -486, 0, 5, 21, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 2\/55 (c) 2 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/12 - 5*l**3\/6 + 5*l**2 + 78*l. Determine t(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/40, -12, 17, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-6050)\/297) + (-2)\/(-22)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.1 - 41. Sort k, 1, 2\/3.\nAnswer: k, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -69, -189, -367, -609, -921, -1309?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/469276653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*x + 2 = 0, 4*g - 5*x - 2 = -0. Let n(r) = 5*r**2 - 3*r - 5. Suppose 0 = -5*t + 2*t + 24. Calculate the remainder when n(g) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 502*k - 1. Let s be h(-1). Suppose -8*i + 6984 = 1216. Let c = s + i. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, q: 2}. Give prob of sequence sqs.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -993*i = -948*i - 180. Suppose -2*o = -7*o + 15. Factor -8\/11*p**2 - 16\/11*p**o + 0*p - 2\/11*p**5 - 10\/11*p**i + 0.\nAnswer: -2*p**2*(p + 1)*(p + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 7*y + 1. List the prime factors of f(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22596945 and 29053215.\nAnswer: 203372505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 286064.\nAnswer: 286064.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150 - 2?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4210*t + 4147*t + 4851 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.036 + -0.194. Let k = y + -0.07. Let w = k + 0.34. Round w to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 42*l - 211. What is s(-6)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493632970 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) 1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 + 2*z**2)*(2 + 1 - 4 - 4*z**2).\nAnswer: -8*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9412.66 tonnes to grams.\nAnswer: 9412660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0511 + -3.0611. Let o = -0.01 - p. Let x = -1 - o. Sort x, 2\/5, 5.\nAnswer: x, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1360453\/161700 + 4568\/539. Calculate the common denominator of 133\/1500 and c.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6485*p = -6500*p + 120 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3456 (base 14) to base 2.\nAnswer: -10001110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 + -516 - (1 - (-3 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589802790 a multiple of 12626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 23944889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308676 is divided by 577?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/55 in 113, 1119, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/36 and 82\/21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 10*q - 30. Let a(x) = -x**3 + 9*x**2 + 10*x + 2. Let z be a(q). Suppose z*c - 6*c = -28. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37145608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*f**4\/3 + 68*f**3\/3 - 37*f**2 + 6*f.\nAnswer: -f*(f - 3)**2*(11*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 + 38278?\nAnswer: 38321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 k, and 1 x when four letters picked without replacement from {k: 5, o: 4, x: 1, v: 6}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 2. Calculate w(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5655\/116 - 51)*(-1 - (-5)\/6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-4)))**(-10)*o*o*o*o*o*o**(4\/9)\/o*o*o\/o**4*o assuming o is positive.\nAnswer: o**(-329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 8*p - 12. Determine v(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*u - 7049 + 6669. Let i(g) be the first derivative of 0*g**4 + g**u + 0*g + 0*g**2 - 19 + 0*g**3 - 5\/18*g**6. Determine j, given that i(j) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467626452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2 - 2 - v**2. Let x(b) be the second derivative of b**6\/9 - b**3\/3 + 46*b**2 + 118*b. Let m(n) be the second derivative of x(n). What is d(m(o))?\nAnswer: -1600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 123*q - 88*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + s + 2. Let b be y(-3). Suppose b = 2*k - 54. Suppose 2*w = -0*w + 28. Calculate the remainder when k is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1212*a. Let c(u) be the third derivative of -u**4\/8 - 3*u**2 - 1226. What is b(c(k))?\nAnswer: 3636*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m - 5*s = -310, -4*s - 100 = -2*m. Suppose m = 8*v + 10. Suppose 9 + v = u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 359484\/15660 + (-30 - -2) + 5.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47133330, 94266658, 141399986, 188533314?\nAnswer: 235666642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -1\/4 (b) -107 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1052*j**2 - 3*j + 1. Let s be y(2). Let i = 92617\/22 + s. Let o = 104755\/15858 + 14\/2643. Find the common denominator of i and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:07 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (41\/246)\/((-1)\/(2\/3)). Sort 26, t, -0.1 in descending order.\nAnswer: 26, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*2*3.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b + 2*b - 6*b)*(-35*b - 367 + 367).\nAnswer: -210*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j + 8. Let c be u(7). Let v be (4*c)\/(10\/5). Suppose 0 = -v*y - 2*y + 36. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -4*v**7\/105 + v**4 - 2*v**3\/3 + 35*v. Let r(o) be the second derivative of g(o). Differentiate r(k) with respect to k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755*l - 1515*l + 759*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 2, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -13, -31, -67, -127, -217?\n\"Answer: -z**3 + z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*m - 1453, -7*m = -12*m - 3*b - 2412. Let w be 2\/(-11)*m + (-6)\/(-33). What is the greatest common divisor of w and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from athaatta?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:03 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 5*s**2\/2 + 17*s\/2 - 21\/2.\nAnswer: -(s - 7)*(s - 1)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 + 9 = 0. Let t(l) = 3*l**2 - 2*l + 2. Let w be t(2). Suppose 3*c = 8*c - w. Is k not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 1050*n = 1046*n - 1 + 20, 5*n + 14 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*n**3 - 141*n - 14818 wrt n?\nAnswer: 177*n**2 - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 5. Let k be v(-6). Let f = 0.0053 + 20.2947. Let t = f + -15.3. What is the second biggest value in k, 1\/10, t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*s - 2031*n + 2035*n, -s + 6*n + 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, 0.3, -3 in descending order.\nAnswer: 2.7, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168624635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:58 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1512)\/(-35))\/((-22)\/(-1760))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = -3*c + c, -c - 4 = 0. Suppose 5*k - 381 = z*o, -3*o - 227 = -3*k - 2*o. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 81*l**2 + 35 - 30 - 29.\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-12 + 20 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (163 - 161)\/(2\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000112143 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*y**2 + 2*y - 346 wrt y.\nAnswer: 174*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*24\/18. Suppose 0 = -c*n + 89 + 101. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 157. Suppose -y*v + 6 = -0*v, 5*l + v = 7358. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69284 is divided by 21745?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 1. Let l be q(1). Let u(v) = -v + 4. Let h(b) = -b + 3. Give l*u(k) - 3*h(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/12*(-178)\/445)\/(((-840)\/16)\/(-5)). Factor -6\/7 - 1\/7*p**3 - p**2 + 13\/7*p + v*p**4.\nAnswer: (p - 2)*(p - 1)**2*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 4*h**4 + 0*h**2 - 1\/5*h**5 - 73*h + 0 - 40\/3*h**3. Suppose s(d) = 0. Calculate d.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000128793171 to 7 decimal places.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 581 - 164. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {h: 2, k: 1, n: 2, x: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + -8 + 6 + 2 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 - 231*i - 207. Let x(r) = -7*r**2 - 228*r - 209. Let o(n) = 4*g(n) - 5*x(n). Factor o(m).\nAnswer: -(m - 217)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 13) in base 6?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*i - 116*i = -5*f + 929, 4*f + 3*i - 742 = 0. Which is smaller: 179 or f?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36194135 divided by -36194135.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.93 - 0.07. Let q = n - -3. Let y = -0.2 + 0.1. Which is the nearest to y? (a) -5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 880 and 38720.\nAnswer: 38720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968558211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 12 = 4*i + r, 6 = i - 2*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.5565393.\nAnswer: 1.6696179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -200003*s - 54. Let z = -295 - -277. Let b be j(z). What is b rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:04 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zslelzsslz. Give prob of picking 1 z and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 94. Suppose 261 = 2*d + j. What are the prime factors of d?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/34 - 75\/442. What is the second biggest value in p, -5, 5, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d0e (base 16) to base 15.\nAnswer: -4970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/275 and 54\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -25*z**5 + 52740*z**4 - 30523325*z**3 + 2782185030*z**2 + 1117761120*z = 0?\nAnswer: -2\/5, 0, 112, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.467534 rounded to two dps?\nAnswer: -152.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 9:32 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/24 - v**3 - 6*v**2. Let g(h) be the first derivative of a(h). What is the units digit of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/34*867868\/(-10))\/((-3)\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344 = -308*r + 212*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 18*o - 5. Suppose 4*n = -5*u + 582, -3*u = -3*n - 40 - 320. Suppose 0 = 5*c + 7 + 13, -2*c - u = -5*x. Does 6 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 64337460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233201 - -12033332?\nAnswer: 11200131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20.8*3\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5568 and 34104?\nAnswer: 272832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6590.137 weeks in microseconds?\nAnswer: 3985714857600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*y + y + 2*y)*(12*y**2 - 9*y**2 + y**2) + 1 - 1 + y**3)*(-3*y + 2*y**2 - 11*y + 12*y).\nAnswer: -6*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -534638 by 41126.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -18. Which is the second biggest value? (a) -0.4 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 228635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 l when four letters picked without replacement from lllxllxllxlxlxxlll.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2117 - -3671. What is the greatest common factor of b and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + b**3 - 2*b**3)*(50 - 30 + 49)*((-3 + 1 + 4)*(-b**2 + 2*b**2 + 5*b**2) + 6*b**2 - 2*b**2 + 5*b**2).\nAnswer: -1449*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 7005409.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -357*o**2 - 12. Let m(x) = 357*x**2 + 10. What is -6*m(k) - 5*z(k)?\nAnswer: -357*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i - 16804 = -92*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose -2 = a - g*a. Let s be a\/3*(-1 + 4). Solve 5 = -x + s*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqpy. Give prob of picking 1 p and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + (0 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 84*r**3 - 338*r**2 + 253*r + 86. Give d(1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 343, 731, 1187, 1717, 2327?\n\"Answer: t**3 + 28*t**2 + 297*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11*36\/(-264)*2\/3. Let n = -0.79 + 0.7. Let x = n - -0.06. Sort x, -2\/5, t in descending order.\nAnswer: t, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a92e27 + -4?\nAnswer: -a92e2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1\/91 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000863690354 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 55. Solve -17 - 8 = -u*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.5 + 10. Let g = c + -0.2. What is the second smallest value in 0.5, 3, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384106, 384102, 384092, 384070, 384030, 383966?\nAnswer: 383872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 117 = -132. Let p be (-64)\/(-3) - n\/(2 - -1). Suppose 5*u - 42 = 2*u. Calculate the greatest common divisor of u and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/55 (b) 5\/4 (c) 1.891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = -0*s. Let a = 3 + -2. Let c(i) = -5*i + 2 + 1 + a. Let o(z) = -14*z + 11. What is s*c(g) + 3*o(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 99\/(-15) + 4\/(-10). Suppose 2*x + 2*x + 191 = -5*h, -3*h - 4*x = 121. Is (-145)\/r - 10\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-188)\/94 + 8\/(2\/1). Let u(f) = -8*f**2 + 2*f + 1. Let n be u(-1). List the prime factors of 180 + (n - -4 - (-2)\/c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0 + 1\/21*v**7 + 1\/2*v**4 + 0*v**6 + 0*v**2 + 0*v**5 + 0*v**3 + v. Find the third derivative of g(i) wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1009, -4921, -11485, -20701, -32569, -47089?\nAnswer: -64261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 16. Let r be n(-11). Let z = r + 22. Let l be z\/12 + (-9)\/12. Is l less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6933.792 centuries in decades?\nAnswer: 69337.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -374*x**3 + 2*x + 2. Let z be b(-1). Find the second derivative of -34*l + 23*l**4 + 190*l**3 - z*l**3 + 184*l**3 wrt l.\nAnswer: 276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -1, -40, -117, -244?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 14*t - 82. Let k(b) = -b + 5. Calculate k(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 2, l: 1, n: 6}. Give prob of picking 1 l and 3 e.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 457547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 3. Let v(p) = -p**3 - 21*p**2 + 15*p - 26. Let s be v(-22). What is the smallest common multiple of z(-7) and (s\/(-12) + 2)*15\/(-5)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119586 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 636 + 3156?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-1\/6)\/l))\/(l\/(l\/(l\/(l*l*l**(-10)\/l)))))\/(((l\/l**(-2))\/l)\/l)**(-3) assuming l is positive.\nAnswer: l**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 4, -323 in decreasing order.\nAnswer: 4, -18, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 28. Let r(j) = 2*j + 9. Let k(s) = 8*r(s) + 3*z(s). What are the prime factors of k(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 95. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.73441 decades in millennia?\nAnswer: 0.0773441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 58, 36, -4, -68, -162, -292?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6689232 and 3168.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 6 + 0)\/(15\/25). Let n be -6 + (-5 + q)\/4. Let a(d) = d**3 + 7*d**2 + 9*d + 6. Give a(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100305057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*s + 20 = 0, 8*s = 3*s. Suppose -4*v + v = 0, -v - 8 = f*y. Suppose 0 = -610*p - 118*p - 2184. Is y smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*r**2 + 168*r**4 - 26590*r + 26590*r wrt r.\nAnswer: 4032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.092 - 71.908. Let k = 1287827 + -1287898.9931. Let o = d - k. Round o to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 2 + 1 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**4 + l**3 - l. Let r be (-8)\/3*42\/28. Let f(c) = 2*c**4 + 4*c**3. Let t(y) = r*i(y) + f(y). What is the second derivative of t(v) wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let g(k) = 2*k. Let j(f) = -3*a(f) - 3*g(f). Let x be j(-1). Find the common denominator of 71\/18 and (x\/60)\/(1\/214).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p + 9. Let o(z) = -15*z**2 - 35. Determine l(o(b)).\nAnswer: -75*b**2 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*i - 6 = 0, 1738*m - i = 1740*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -14. Suppose 4*t - m = 39. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i + 15 - 3*i - i + 13*i. Let c be u(-13). Let g(n) = 4*n**2 - 2*n + 2. Let r(m) = 16*m**2 - 9*m + 9. Give c*r(a) - 9*g(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddq when three letters picked without replacement from cqdcddcdqc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 3, i: 9, y: 1, o: 3, n: 1}. What is prob of picking 1 n and 1 o?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 724425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 40 (c) 0.08 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, 1\/11, 4\/13, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from uuuoxuuuuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 884\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-868)\/310)\/(-1 + (-60812)\/(-60820))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.522 - -7.722. Let a = -0.9 - -0.8. Sort a, 5, 47, f.\nAnswer: a, f, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 5*x**2 + x + 8. Let l be h(4). Let v(q) = -q - 2. Give v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507394 and 227616.\nAnswer: 4742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37aef (base 16) in base 5?\nAnswer: -24244304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*o + 20745 = 118*o + 845*o + 283*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szsksssskezzkksezk. What is prob of sequence ezz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -29693?\nAnswer: -29693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 414*o**2 + 21*o + 49. What are the prime factors of p(-3)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8875 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.6, 3, 0, 12?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -76*r - 2303. Calculate b(-30).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 678, -16, -3, 4 in increasing order.\nAnswer: -16, -3, 4, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = 17*o - 881 - 200. Calculate the remainder when 384 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 174*d**2 + 120*d + 5. Let w(m) = 87*m**2 + 60*m + 2. Let g(o) = -2*a(o) + 5*w(o). What is the second derivative of g(n) wrt n?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 4*w - 2245. Determine c(-44).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 129*x + 12345. Calculate j(-96).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d - 28*d = -5*p - 10, 0 = -4*p - 3*d - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 2. Let k = -1834 + 1842. What is the smallest common multiple of y and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103ee (base 16) in base 14?\nAnswer: -1a370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 + -130799?\nAnswer: -130742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 8164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -12. Let s be 2\/(-4) + (-3)\/f. Let b(o) be the third derivative of o**6\/120 + o**5\/60 - o**4\/24 + o**3 + 1016*o**2. Give b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 524*n - 1. Let d be o(-1). Let c be (-64)\/16 + (0 + d)\/(-3). What is the greatest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, -0.5, -0.27, -26?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 8*m - 4. Let o = 79 - 76. Let t(z) = 9*z**2 - 23*z + 1. Let v be t(o). What is the hundreds digit of g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -14034, 5, -1\/4, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 60. Let s(c) = -4*c + 15*c + w*c**2 - 11*c. Let v(f) = -32*f. Give s(v(x)).\nAnswer: 2048*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -374a3 (base 15) to base 13.\nAnswer: -62490","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1\/7 (c) -0.2 (d) -901 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*p - 51*p + 698. What is the remainder when p is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w + 2. Let a(b) = 11*b**2 - 3*b - 6. Suppose -4*d - 15 = -27. Let l(i) = d*v(i) + a(i). Determine l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.807417l?\nAnswer: 2807.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offforromfrffroooo. What is prob of sequence mmr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose -5*u + 9 + 5 = -3*p, 2*p - 16 = -3*u. Solve 4 = -4*o + 4*v - 2*v, 3*o = u*v - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 9) in base 11?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478330 divided by 6?\nAnswer: 413055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51.96 - -33. Let v = -19 - y. Sort 3, v, 2\/7 in decreasing order.\nAnswer: 3, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 316304?\nAnswer: 316300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 9, x: 2, l: 1}. Give prob of sequence xg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(990\/(-200))*(-2448)\/255\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 4*y - 3099 = -10*d, 0 = 4*d - 2*y - 12396. List the prime factors of d.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2156 + 3?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 + 12 - 5) + -15 + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12367 and 59302?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3627)\/(-74) + (-911)\/67414.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -11*l**4\/12 + 178*l. Let w(y) = -14*y. What is w(b(a))?\nAnswer: 154*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35072 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: What is 0.36664583 rounded to 3 decimal places?\nAnswer: 0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4471*x - 2. Let j(w) = 3031*w. Give j(z(d)).\nAnswer: 13551601*d - 6062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/774 and 20\/9.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 422 - -324323?\nAnswer: 325145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 39*w + 3*w**4 - w**3 + 32*w - 12*w**4 - 67*w - 48*w**4 as k*w**4 + d*w**2 + z*w + p + u*w**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 9\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15907\/6888 - -29\/287. Calculate the common denominator of -59\/22 and r.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1927728 and 37\/1000374?\nAnswer: 264098736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.11081 months to years.\nAnswer: 22.0925675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 u when three letters picked without replacement from {e: 3, t: 1, k: 6, u: 4}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, c: 3}. Give prob of sequence bc.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 0.2285?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1304410?\nAnswer: 1304401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -26, 0.2, -11, 2, 1\/183 in increasing order.\nAnswer: -26, -11, -0.1, 1\/183, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*g - 595, -5*g - 4*n + 166 = -404. Let z = g + -96. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-2*1\/(-2). Let b = -7 + 16. Suppose -r = -4*o - b. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b - 793197. Let i = -355601 + b. What is i rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l**(-11))**(1\/29) assuming l is positive.\nAnswer: l**(-15\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 221\/189630 and 193\/2851800?\nAnswer: 367882200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 + -2)*(-13 + -226)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**3)\/(x**(-8)\/x))\/((x*x*x*x**(-2)*x)\/x)**48)\/((x\/(x*(x\/(x*x*x\/x**(-1)))\/x)*x**2\/x)\/(x**3*x*x**(2\/11))) assuming x is positive.\nAnswer: x**(-460\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(1053)*1*-2 + sqrt(1053)*-1*-3 + -3))**2 + -2.\nAnswer: -12150*sqrt(13) + 238948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/3, -4\/23, -0.1, 2\/13?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 + 2*z + 2. Let j be d(-1). Let b be (-15)\/j*180\/(-125). Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2748 - 2749.5. Which is the biggest value? (a) d (b) -13\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -23*k**4\/2 + 2*k**3\/3 + 28*k**2 + 67. Find the third derivative of o(d) wrt d.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + (0 - (-2 + 3)). Let d(t) = t + 8. Calculate the remainder when d(a) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590513736.\nAnswer: 2, 3, 24604739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-114))\/(39\/13*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 + 147*u**4 - 5093*u**3 + 40165*u**2 - 87018*u + 51800 = 0 for u.\nAnswer: 1, 2, 7, 37, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.944 from 0.\nAnswer: -24.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6959410 or -13918821\/2?\nAnswer: -13918821\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 130cd49 + 5?\nAnswer: 130cd4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = -5*i - 329 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + -157. Let d = r - -98. Suppose 0 = -13*m - d + 10. Solve 2*y - 2*w + 4 = -m*y, 5*w = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2110246771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 45*v - 189 = 45*v. Sort v, 1, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1468, 2945, 4422, 5899?\nAnswer: 7376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 9*l - 11. Suppose 0*x + 54 = 6*x. Let v(t) = 2*t**2 - 4*t - 5. Calculate x*v(q) - 4*r(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from emeejjeeeeme?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118433658.\nAnswer: 2, 3, 7, 499, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = 5*a, 0*f = 5*f. Put a, 3, 4 in descending order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 35 = -w. Solve 3*v - w = 3*j + v, -7 = 2*j + v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 19, -125, -451, -1019, -1889, -3121?\nAnswer: -4775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1444 and 13?\nAnswer: 18772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*h**2*n**2 - 67*h**2*n + 3*h**2 + h*n**2 - 173 wrt n.\nAnswer: -14*h**2*n - 67*h**2 + 2*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 - 107*i**2 - 1006*i wrt i?\nAnswer: 18*i - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3 (b) 5 (c) -0.2 (d) 19 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -10 + -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1755978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1 (b) 4 (c) -39\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 97 + d1?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31799 + -23619. Does 67 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 34. Let c(w) = w**3 - 7*w**2 - 40*w - 20. Let m be c(11). Is m < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*3*(5 + -5 + sqrt(76) + sqrt(76)*-3 + sqrt(76)))**2.\nAnswer: 102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-12) - (15\/18 - 1). What is the closest to 0.6 in -0.3, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*n = 5*d - 9, -23 = -5*d + n. Suppose 2*s = 5*s - 45. What is the highest common divisor of d and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 10 + 1 + 23*l to the form b*l + n and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 9*f - 3532938 = -24*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**3 - 14*h**2 - 244*h. Let r(d) = 2*d**3 - d**2. Let x(o) = l(o) + 2*r(o). Find the second derivative of x(b) wrt b.\nAnswer: -54*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287 - -290. Suppose 55*y - 54*y = 3. Solve 5*w + 9 = -l*s - 1, -y*w = 4*s + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 880 and ((248\/186)\/((-1)\/2))\/(4\/(-726)).\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*3\/(-2). Calculate the remainder when q*1\/4*82 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4860510 = -3*f - 879781, 0 = 4*j + 4*f - 3980728. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14143946 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.27622318878 and 0.3.\nAnswer: 0.57622318878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26487 (base 11) to base 12.\nAnswer: -19a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 79. Let i be -5 - 324\/m - (-2)\/11. Suppose 0 = 5*v + 4*k - 2447, i*v + 3*k = 4*v + 496. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyv when three letters picked without replacement from yhrvhvrhy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 930321*w + 3721287\/4.\nAnswer: -3*(w - 1)*(w + 1240429)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61688159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let j(y) be the second derivative of -1\/6*y**3 + 2*y + 0 + 1\/12*y**4 + y**2. Calculate j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:43 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4540*p*q - 23*p - 288*q - 1156 wrt p?\nAnswer: -4540*q - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1258, -1264, -1294, -1360, -1474, -1648, -1894, -2224?\n\"Answer: -2*m**3 + 8*m - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758300627.\nAnswer: 7, 53, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5*h - 13. Let j be n(-6). Let m be j\/14 + 22\/4. Suppose -2*f + 7*f = 4*s - 175, 0 = s - m*f - 55. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Let f(m) = -220*m + 337*m - 170*m. Calculate f(q(v)).\nAnswer: -159*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9817522 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1759472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(880)\/sqrt(11) + (sqrt(5) + 1)*4)**2 + (sqrt(320) + 0)**2*2 + -3.\nAnswer: 64*sqrt(5) + 970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 2331015 = -907015. What is q rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -31*y - 1. Give z(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - f - 3 - 9, u + f = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49022 times -4706?\nAnswer: 230697532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.1*0.56.\nAnswer: 16.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/8 (b) -1\/3 (c) 6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkekhebeehbkkkae. Give prob of picking 1 e and 1 k.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 6 = 4*y, 5*y - 8 = -17187*r + 17191*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from zwwzzzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 274, 510, 804, 1150, 1542, 1974, 2440?\nAnswer: 2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-3 - 10))*1. What is the units digit of p\/(-5)*(-11)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6299*c + 2. Let h be j(2). Let d be (-75076)\/h + (-2)\/(-4). Let g = 17\/175 - d. Find the common denominator of -9\/14 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 790 - 794.91. Let h = p - -5. Let x = -0.03 + h. Put -3, x, -1\/2 in ascending order.\nAnswer: -3, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/11 + 4678*h\/11 - 4676\/11 = 0.\nAnswer: 1, 2338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/36)\/((-4)\/(-6)). Let k = 0.27 + -0.5. Let q = 0.07 - k. Which is the nearest to g? (a) q (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, -3\/47, 0.2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*l = 153 - 57 + 124. Put -4, l, 653, -1 in decreasing order.\nAnswer: 653, -1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (-2*sqrt(48) + sqrt(12)))\/(sqrt(144)*-4 - sqrt(144)) + -2 + (-2*sqrt(300)*-6*-6)**2.\nAnswer: -2*sqrt(3)\/15 + 1555198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Suppose 4*i = -3*h + 1, 14 - p = 4*h + i. Suppose h*z + z + 21 = c, 3*c + 2*z = 21. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1188*p**4 - 2626*p wrt p?\nAnswer: 14256*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*m + 40, 2*j - 2*m = -3*j + 58. Suppose -k + j = 8. Suppose 3*l + y = k*y + 84, 3*y - 84 = -3*l. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19096262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*1*sqrt(132))\/sqrt(12) - (sqrt(99)*-4*4)\/sqrt(9))**2*-1.\nAnswer: -21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19524 divided by -1?\nAnswer: -19524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8311)\/2)\/((-215)\/(-8)). Let l = n - -904\/43. Let a = l + 134. Which is greater: a or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and -69\/188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3209b13 + 4?\nAnswer: -3209b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 1 + 4. Let b(p) = -7*p**3 - p**2 + p + 1. Let a be b(t). Suppose -a*k + 299 = -1615. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*66\/9*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 4*y**2 + 3*y + 1. Determine k(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11 + h**3 + 4 - 9 + 7*h**2 + 5*h + 2*h. Let t be s(-6). Let y = 0 + 2. Solve t = -y*x + 2*p, 6 = -2*p - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(99) + (sqrt(99))**2*-5.\nAnswer: -495 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**2 - 49*q + 554. Let m be y(11). Calculate the greatest common factor of 100 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16027777.\nAnswer: 43, 372739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -26*l**2. Let m(q) = q + 27. Let r be m(-12). Let d(t) = -r*t + 35*t - 21*t. Give d(n(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.001, -3\/5, -3 in decreasing order.\nAnswer: 0.001, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/12 + 3*x**2\/8 + 8. Factor i(d).\nAnswer: d*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y - 5 + 5)*(2 - 5 + 4) - 3*y + y + y)*(-3 + 2 + 0)*(0*y - 5*y + y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/9*-3 - -3. Let s = v + -16. Let z = -4 + 8. Solve 4*j + z*o - 4 = s, 3 = -2*j + 5*o - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d**3 - 9*d. Let r(s) = 7*s - 3*s + 0*s**3 + 4*s**3. Suppose 0*h + 4*h = -24. Let c(u) = 14*u**3 + u + 2. Let b be c(-1). What is b*r(f) + h*p(f)?\nAnswer: 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -30. Let z = 53\/78 + -76\/13. Find the common denominator of 527\/154 + 4\/m and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 380 + 1234. Let k = z - -192. What is the greatest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86557.22ml?\nAnswer: 86.55722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -977 divided by 5?\nAnswer: -977\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961816?\nAnswer: 2, 109, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -241, -195, -167, -163?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1661, -490, -4081, -9112, -15583, -23494?\nAnswer: -32845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 + -274. Let m = 144 - w. Solve 0 = 2*s + m*s - 2*h + 15, -s = -2*h + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-8))\/(14 - 7025\/500). What is the fourth biggest value in 0.1, -3\/4, 69, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3)\/((-25)\/(-255292500)*-6). What is v rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11543 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 204. Let m(c) = -c + 52. Let v(i) = -9*m(i) - 2*x(i). Let t(a) = 6*a. What is v(t(q))?\nAnswer: 6*q - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2625 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.074 + -1.012. Let o = -0.138 - m. Let k = o - -12. Which is the closest to 0.2? (a) -3 (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(-8 + -4). Let p = u - -415. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(sqrt(78) - 6*-2*sqrt(78)))\/(3*sqrt(1536)).\nAnswer: -13*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmtmtmmmmrmrmmt. Give prob of picking 2 m.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1267.4331 = 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-1))\/(5\/10). What is the first derivative of -338*l**3 + 5*l**u - 11 + 338*l**3 wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -8504278551?\nAnswer: 8504278551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4645*n + 668850. Determine x(144).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -10 (b) -37\/2 (c) 1.9 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 6*o**2 + 4*o + 5. Let z = -3 + 8. Let l be b(z). Solve -q + l*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 10 = 4*f, 31 + 19 = 2*f - 5*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12463.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -90. Solve 2 + 3 = g - 2*t, o = g + 2*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeo when three letters picked without replacement from {e: 2, a: 4, o: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1302 to the nearest ten.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 584997 = -5*t, -5*k = -3*t - 0*k + 351015. What is t rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:01 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30511 - 74986.585?\nAnswer: -44475.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 3, t: 1, c: 2}. Give prob of picking 1 t and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90.5 and 4.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkottktkkkkkktktk. Give prob of sequence kotk.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201002 + 11?\nAnswer: 201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3995 + 0.06493?\nAnswer: -3994.93507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-216))\/(8\/24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/((-22)\/(-231)). Suppose -590 = p*v - 8*v. Suppose 0 = -y - 3, 2*y - v = -5*a + 7*y. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 26*j**2. Let f(h) = 443*h. Give s(f(q)).\nAnswer: 5102474*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*f - 136, -4*l + 1636 = 4*f + 1728 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51*45\/18360 + ((-78)\/(-112))\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 - (-6 + 5) - 3. List the prime factors of (-17298)\/(-135) - (-1)\/(15\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -21*w**3 - 2*w - 1. Let b(l) = -l + 3. Let o be b(4). List the prime factors of y(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -9\/2, 0.4, -5, -1.32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-15)*(-242)\/2904*65*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1293641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:18 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5\/5 - 1588*n**4\/5 + 9642*n**3\/5 + 33532*n**2\/5 - 54496*n\/5 - 15360 = 0.\nAnswer: -800, -3, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = h - 2*h. Find the common denominator of 55\/4 and (10\/h)\/(-5)*-83.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 1207*n - 1203*n. What is the highest common factor of n and 180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 259*g - 52*g**3 - 3*g**2 + 6 - 257*g - 49*g**3. Let h be p(-3). What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*i - 202 = 0, -5*i + 310 = -8*h + 118 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106690, -209027, -311366, -413707?\nAnswer: -516050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(-17 - 567\/(-35)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -37 - (5 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87*15\/((-675)\/(-70))*(-6)\/(-14).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 3, x: 3, t: 1, a: 2, y: 2}. Give prob of picking 3 u and 1 a.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:09 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -2, -4\/159, 3.\nAnswer: -8, -2, -4\/159, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5529700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-21)*18\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3 (c) 3 (d) -7\/6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z**4 + 3*z - 2 + 412*z**3 - z - 28*z**4 + 13*z**4 + 90*z**3 to the form i*z**3 + o*z + m*z**4 + v*z**2 + n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3 - 2*a**2 - 3*a. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 3*n**3 - 98776 + 98776 + 20*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*z = 104, -8 = 6*z - 2*z. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Suppose -w*s = -2*s - 80. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213800 is divided by 68925.\nAnswer: 7025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04399167 to 3 decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(((s*s**(2\/9)\/s)\/s*s)\/s)))**(-20\/3)\/(s**4*s\/(s*s\/s**5*s))*((s*s\/(s\/(s**4*s*s))*s)\/(s\/(((s*s**10\/s)\/s)\/s)))**(4\/3) assuming s is positive.\nAnswer: s**(311\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 + 9*c**3 + c**2 - 18 - 17*c**3 as u + d*c**2 + k*c + t*c**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:37 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 27 = 2*i, -5*i + 6*o - 2*o = -18. Solve 0 = -3*q - 3 - i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -17083, -5, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 0 - (-8 + 2). Suppose -4*b = 0, 4*w + 5*b = 2*b + 28. Factor 4*a**2 - 3*a**3 + 4*a - 2*a + w*a**o - 2*a**3.\nAnswer: 2*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 830537745 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 16, g: 2}. What is prob of sequence ssg?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04263391 to 4 decimal places.\nAnswer: -0.0426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {n: 3, z: 1, t: 3, k: 2, d: 1, a: 8}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-140)\/144) + (-2)\/14. Let j(o) = o - 6. Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r**3 + 0*r**2 + 828*r**3 + 0*r**2.\nAnswer: 764*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + k + 7 = 0, -3*n + 0*n = 5*k - 1. Let w be (4\/(-6))\/(-1 - 20\/(-24)). Solve p - 3 = 0, t - w*t + 3 = n*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -20*v**3 + v**2 - v. Let l be y(1). Let d be (-6)\/(-18) + 0 + (-4107)\/(-207). Let t = d + l. What is the common denominator of -53\/9 and t?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -d - 0 - 2, 30 = 5*d + 5*x. What is the remainder when 8 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**2 - 51*d + 290. Is 8 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48900, -48902, -48904, -48906?\nAnswer: -48908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389 - -209. Let n be (2 + -1)\/((-9)\/g). Solve 0 = 3*j + 2*j - n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2839 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -19*z + 208. Let c = z - 78. What is c rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 6546*a**4 - 3596916*a**3 - 28429338*a**2 - 38861337*a + 70894140 = 0. Calculate a.\nAnswer: -1087, -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114\/627 - 48838\/(-11). Suppose f = 12*v - 0*v. Calculate the smallest common multiple of v and 6.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3380, -3381, -3382, -3383?\nAnswer: -3384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81701\/11268 - 2\/2817. Let v = 211\/28 - r. Which is the closest to v? (a) -4 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y**2 - 177*y - 182. Let d(c) = -335*c**2 + 3895*c + 4005. Let k(j) = -45*b(j) - 2*d(j). Determine h, given that k(h) = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/(-108)*1*-4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - m + 27 = n + 39, 0 = m + 11*n - 72 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10782?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/4 (b) 8 (c) -0.2 (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10242*s + s**2 + 13 + 10240*s + 2 as i + v*s**2 + o*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 + 168*t**4 + 1840*t**3 + 5880*t**2 - 1844*t - 6048 = 0. Calculate t.\nAnswer: -27, -8, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5025761517?\nAnswer: 3, 7, 53, 199, 22691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g**2 - 29*g + 6. Let q be s(3). What is the highest common divisor of q and 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 809*y + 11. Let o be v(-4). Let t = 15 - o. Is 29 a factor of 6\/(-33) - t\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69715 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (14 + -9 + 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (45\/8)\/(180\/80)*(-1)\/((-1)\/(-24))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(20\/(-40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/5)*f\/(f*f**(2\/17)\/f*f) assuming f is positive.\nAnswer: f**(92\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (18 - -2 - 12) + (-15 - -12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4007 and -0.5.\nAnswer: -1.20035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yii when three letters picked without replacement from yiynnyyyeyyiyyeieyn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2072 + -2056. Solve 0 = -23*u + 15*u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 9*z**5 + 7*z**5 + (2*z**2 - 3 + 3)*(-3 - 2*z**3 + 3).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11481 - -6581. Let o = -917 - h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220185848.\nAnswer: 2, 131, 210101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 - 8*t + 9. Let n(r) = 20*r**2 + 23*r - 26. Give 17*l(x) + 6*n(x).\nAnswer: x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1497264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 143096 divided by -15?\nAnswer: -143096\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:00 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387 greater than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28170066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*k + 3*k - 33078 = 0. List the prime factors of k.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.093 - 0.497. Let g = h - -0.63. Let m be 0 + ((-17)\/(-51))\/((-4)\/3). Which is the second biggest value? (a) g (b) -0.01 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(33\/5))\/y)\/y*y*y**(-21)*y)\/(y*y**(-2\/5)*y\/(y*y**(7\/5)*y)*y*y))**46 assuming y is positive.\nAnswer: y**(-3128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-327)\/9 - (-2)\/6. Let g = -26 - q. What is the remainder when g is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**4 - 3*t**2 - 5*t. Let s = -15 + 8. Let h(i) = -2*i**4 - 4*i**2 - 7*i. Let j(w) = s*x(w) + 5*h(w). What is the third derivative of j(b) wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 1988238*o**2 + 12*o**3 + 1988238*o**2 + 1.\nAnswer: 17*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 884390079*g + 11 + 884390087*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297952.\nAnswer: 2, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(34)\/sqrt(2)*3.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2036*t - 2038*t + 110 = 0, 0 = -5*x + 5*t + 145 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0106 or -567.96?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015075 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 17. Let t = 10.9 + r. Put t, 4, -1 in descending order.\nAnswer: 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/12 - (-2)\/(-12). Let g = -0.0401 + -18.9999. Let p = g + 19. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 8 = -15*p, -12 = -c + 5*p. Factor 0 + 0*g + 1\/7*g**c.\nAnswer: g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 16. Let x be u(8). Suppose x = 4*d, 2*y - 3*d - 34 = 16. What is the remainder when y is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69, 34, -9, -60, -119, -186?\n\"Answer: -4*a**2 - 23*a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 446\/18 - (-2)\/9. Let h = i - 25. Suppose -5*f + 2*l + 551 = -4*f, -5*f - 2*l + 2695 = h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 392, 800, 1208, 1616, 2024?\n\"Answer: 408*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 8204?\nAnswer: 57428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/2)*a**21)\/((a\/a**(-3\/4))\/a*a**(-10)))**36 assuming a is positive.\nAnswer: a**1179","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 5:25 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5117471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(6480) - (2 + sqrt(6480))) + 2*sqrt(6480)*4)**2.\nAnswer: -4032*sqrt(5) + 414765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303753167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:14 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59828267?\nAnswer: 23, 191, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8087496 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1756, -1832, -2032, -2416, -3044, -3976, -5272?\nAnswer: -6992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65515 by -5.\nAnswer: 13103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let z(h) = -2*h**g + 2*h - 2*h. Let p(k) be the third derivative of k**5\/20 - 126*k**2 - k - 1. What is z(p(s))?\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 53 - (3 - 21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203443 + 0?\nAnswer: -203443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = -0*b + 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:30 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.58061 and 0.4.\nAnswer: -1.432244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 521, 569, 619, 671, 725?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-209)\/(-4) - -24*19\/(-1824) is divided by 8\/(3\/(4 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*k**2 - 1 + (4 + 22*k - 47*k + 22*k)*(-2*k + 0 + 0) as l*k + o*k**2 + x and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 225, 364, 473, 552, 601, 620?\n\"Answer: -15*n**2 + 184*n + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (sqrt(51)\/sqrt(3))**2) + sqrt(833) + -1.\nAnswer: -18 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5114.5059746 + 4884.50597301. Let g = a + 230. What is g rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3\/2*r + 0*r**2 - 1\/2*r**3 - 5. Find s such that u(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l - 219*l**2 + 3*l + 169*l**2 + 2 + 49*l**2. Determine u(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(720\/64))\/((-44)\/(-10))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5733 = -54*d + 37*d + 6048. Suppose z = 4*z - 189. What is the greatest common factor of z and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 1 + 1)*(w**2 + 0*w**2 - 2*w**2) - 2*w**3 + 10*w + 1 + 3 - 8*w as v + u*w**3 + y*w**2 + q*w and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38032147?\nAnswer: 173, 219839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - k = 6, 4*z - 5*k = 34 - 6. Suppose 2*y = -5*x - 28, z*y + 3*x + 6 + 14 = 0. Which is the nearest to 0.06? (a) -2 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2.3 (c) 1\/6 (d) 2\/103 (e) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1049533458 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 10 = 6*x - 9*x, 3*x + 4*a = 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58435 divided by -145?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 + 198. Let a(p) be the second derivative of -p + r - 1\/6*p**3 - p**2. Give a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/4, -2, -0.06, -2.2, 2\/3 in decreasing order.\nAnswer: 11\/4, 2\/3, -0.06, -2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 0\/2 - (11 - -676). Let k = r + 1590. What are the prime factors of k?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/36 and (-267)\/36 + (8 - 7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4873 + 8538. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/((-9)\/3)*36\/(-108)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 13*l**2 - 41*l + 10. Let v be o(8). What is the closest to -0.1 in -4, -0.2, v, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q + 404. Let s be x(-20). Suppose s*v - 76 = -4*n, -8*v = -3*v - n - 113. Let z = 55 + -12. What is the remainder when z is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37632 and 2334360.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4702, 7570, 8636, 7894, 5338, 962?\n\"Answer: -t**3 - 895*t**2 + 5560*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/3 (b) -1\/8 (c) -1\/9 (d) 8\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -7*n**2 + 18*n + 5. Differentiate c(j) with respect to j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((-6498)\/270 - 1).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -462*n - 2306. Let p be x(-5). Put p, 2, 0, 106, -2 in decreasing order.\nAnswer: 106, p, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11478 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 33*f**2 - 3*f**3 - f + 34*f**2 + f + f as l*f**2 + c*f**3 + a + z*f and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**3 + 0 - 1 - 8*u**3 + u in the form s + i*u**3 + g*u + m*u**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44562 + -44552. Suppose 290 = -2*a + 7*a. What is the remainder when a is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1077792.757993 - 1077792. Let k = 6.85794 - q. Let v = 6.1 - k. What is v rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/32*8\/342.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10329, -20653, -30977, -41301, -51625?\n\"Answer: -10324*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y + 113*y = -98 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-45))**(1\/43) assuming d is positive.\nAnswer: d**(-45\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkaktauzzzzuh. What is prob of sequence zaah?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 4*w - 1. Let l(c) = c**2 - c. Let r(t) = h(t) - 4*l(t). Let d(p) be the first derivative of r(p). What is d(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 8*x**3 + 7 - 520*x**4 + 1 + 521*x**4 + 22*x + 21*x**2 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6180 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 9*l - 8. Let x be o(10). Suppose 3*y - x = 259. Let w = -38 + y. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.7742 + -9646.19.\nAnswer: -9632.4158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -117, -352, -791, -1500, -2545?\n\"Answer: -11*s**3 - 3*s**2 - 11*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9. Suppose -p + 5*l = -2*p + 20, 3*l - 12 = 5*p. Sort p, o, 6 in ascending order.\nAnswer: p, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f + 159. Let q be n(-11). What is the highest common factor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose 76*l = 70*l + 6. Let o(p) = -4*p**3 - l + 3*p**3 - 7*p**2 - t*p + p. Give o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146, -602, -1388, -2522, -4022?\n\"Answer: -3*f**3 - 147*f**2 + 6*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 9287951063000.\nAnswer: -9287951062999.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/69 and (-2 + 1)*44\/(-18).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2397279.\nAnswer: 3, 799093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279*r**2 + 5*r**3 - 565*r**2 + 285*r**2 + 5)*(-3*r**2 + 4*r - 4*r).\nAnswer: -15*r**5 + 3*r**4 - 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/5))\/g)\/g**(1\/4))\/(g*g**(-1)*g*g*g\/(g*g**1*g))*(g\/g**(-3)*g\/((g\/g**(-4))\/g))\/(g\/(g\/(g*(g**(-1)\/g)\/g)*g*g))**(2\/109) assuming g is positive.\nAnswer: g**(1359\/2180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 38*a + 49 = 0. Let d be a*((-5)\/1 + 4). Solve 3*j + 13 = -n, n + 2*n = -j - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -5\/3, -2 in increasing order.\nAnswer: -2, -5\/3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74455, 149322, 224189, 299056?\nAnswer: 373923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8024 (base 12) to base 8.\nAnswer: 33034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*r - 325. Suppose -11 = 5*n + 14, 0 = -2*u + 5*n + 203. Let w = r - u. Calculate the remainder when w is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826, 1225, 1618, 2005, 2386?\nAnswer: 2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/3, 0.4, -1 in ascending order.\nAnswer: -3, -1, -2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 2*j + 1. Let t(n) = -n**3 - n**2 + n - 1. Determine q(s) + 2*t(s).\nAnswer: -2*s**3 - 7*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(-2816)\/(-880).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92330918 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54927, 55622, 56319, 57018, 57719, 58422, 59127?\n\"Answer: k**2 + 692*k + 54234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-17)*x\/(x**22*x*x)*((x**(12\/13)\/x)\/x)\/x**4 assuming x is positive.\nAnswer: x**(-586\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.19 to zero dps.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 0.061\nAnswer: 0.00854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7642.129mg?\nAnswer: 7642129000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/6)\/(-3)*1*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 19 = -3*a. Suppose 136*d - 6 = 137*d. Calculate the common denominator of -41\/178 and ((-31)\/d)\/(a\/(-15)).\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(((t\/t**7)\/t*t)\/t*t)\/t)\/t)\/(t**(1\/13)*t*t))\/((t\/(t\/(t**0*t)))\/t)**(-37) assuming t is positive.\nAnswer: t**(-118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4, 8 + 9 = -5*b + 2*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1314, 0.3, 0.4, 1, 0.04839?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - o**3 - o**4 - 3*o**2 + 2*o**3 + o**2 as c + d*o**2 + q*o**3 + j*o**4 + i*o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -575.28 - -670.2832. Let v = 95 - y. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (23867\/29)\/(-2*2\/(-4)). Suppose -j + z - 154 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30971 is divided by 15484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*b = b - 3, 12 = 3*k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:35 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28854 = 4085*b - 72048 - 140113 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2348522 + -3900060\nAnswer: -3900059.7651478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4, -6647, -2, 0 in ascending order.\nAnswer: -6647, -4, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p + 26. Let a(v) = -v - 5. Let h(m) = 11*a(m) + 2*w(m). Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 4*g**2 + 6*g + 3. Let o = -7 - -2. Give c(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2\/3, -160651?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (24\/(-4))\/6*-31 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**6\/4 - 6*r**5\/5 + 3*r**4\/8 + 2*r**3 - 51. Solve l(t) = 0 for t.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -5*u, -3*u + 6*u - 9 = -w. Is w < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1 + 2 + 2 - 6. Let y(l) = 3*l + 3. Let g = -21982 + 21979. Calculate g*o(h) - y(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (1227*-340)\/(-10) - (-2 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186958903649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 17*z - 2. Suppose 78 = -c + 103. What is the tens digit of d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 234542415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60159.\nAnswer: 3, 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:38 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4721773, -4721775, -4721777, -4721779?\n\"Answer: -2*f - 4721771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (6 - 9) + 792\/1 and 2893?\nAnswer: 8679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - u**2 + 2*u**2)*(-u + u - 2*u) - 10588*u - 46*u**3 + 10588*u.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 3*d**2 + 3*d**2 - 7 to f + v*d**2 + b*d and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 2*x)*(87*x**3 - 3*x**3 - 7*x**3).\nAnswer: 154*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14946 and 5473098.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 44 = 46. Which is the closest to u? (a) 0 (b) -1\/6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x**3 + 4*x**2 - 20*x - 42. Calculate i(-3).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 51, 114, 227, 426, 747, 1226, 1899?\n\"Answer: 6*l**3 - 29*l**2 + 94*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95702770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 80 - 80.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 298301871 and 1.\nAnswer: 298301872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2899*h = -2910*h + 66 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -89, -105, -123, -143, -165?\n\"Answer: -v**2 - 11*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 4*i - 2264. Let m(x) = -20*x. Give a(m(y)).\nAnswer: 800*y**2 - 80*y - 2264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, z: 2, a: 1, f: 2, d: 3, g: 1}. Give prob of sequence daaf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*x + 16*x + 3*x**2 - 10*x)*(-5*x**2 + 20*x**2 + 15*x**2) in the form m*x**3 + j*x**4 + z*x + c*x**2 + f and give j.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/8 - 5*f**3\/6 - 14*f**2. Let j be p(3). What is the smallest value in 3, -0.12, j?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -23417*x + 70259. What is k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/294*6)\/((-2202)\/2569).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**5\/40 + 7*c**4\/24 - c**3\/6 + 2*c. Let i(k) be the second derivative of m(k). Let x be i(6). Solve -x = -6*b + b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -764 - -1439. Calculate the greatest common factor of j and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8641 - -1088813\/126. Calculate the common denominator of -167\/588 and s.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1. Let s(x) = 3*x**3 - x**2 + 6. What is 4*l(g) + s(g)?\nAnswer: 3*g**3 - g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 18259?\nAnswer: 18259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 8 = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -94 - (-5 + 15)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2312144443 + -2?\nAnswer: -2312200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*f**6 + 13888*f**5 - 5*f**3 - 32948318*f**2 - 2*f?\nAnswer: -3240*f**3 + 833280*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437.00000257 + -437. What is w rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 152 = 2*b, 2*r - 92 = -3*b + 2*b. Suppose -16 = -b*i + 80*i. Calculate the smallest common multiple of 2 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 - 77\/4)\/((-2)\/1360) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d - 34 = 26*d - 96*d + 41*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150 + 64 = 196*b - 550. Solve 65 = -b*z - 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2 + 4*z + 1. Let f(t) = 3*t + 6. Let k(h) = 5*f(h) - 7*p(h). Suppose 4 = 4*a + 24. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14\/5, 580, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083804?\nAnswer: 2, 770951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (8\/(-3))\/(1\/(-3)) and -1*2\/8*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + a**3 + 2*a**2 - 2*a**2.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(170)*4 + sqrt(170)))\/(sqrt(10) + sqrt(10) + sqrt(640)*-1))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (64\/8)\/(56\/4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.271 - 101.271. Let y = p + 100. Which is the nearest to -2? (a) y (b) -0.02 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -4, 12\/5, 766.\nAnswer: -4, 12\/5, 84, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4 - (-10)\/(-20). Suppose -2*h = -3 - 5. Let w = p + h. Put -2, w, -1 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*k = 4, -2*j + 5*k = -2*j - 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40600*x + 81763*x - 41168*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20313 (base 13) in base 16?\nAnswer: e12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 58 = 4*v, 8 = -4*n. Let o = 37 - 32. Calculate the remainder when v is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -4, 137, 1, -5, -2 in decreasing order.\nAnswer: 137, 17, 2, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -8. Let y = d - -6. Suppose w - 14 = -y*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1410.\nAnswer: 2\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.34, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.112 - 3624.76.\nAnswer: -3624.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*w - 7678*w**3 - 3*w**2 + 3835*w**3 - 3 + 3836*w**3 + 15*w**2 wrt w?\nAnswer: -42*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 9. Let d = v - -5.8. Is d <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -25*h**5 - 8*h**3 - 15*h**2. Let r(i) = 8*i**5 + 3*i**3 + 5*i**2. Let n(s) = 3*b(s) + 8*r(s). Find the third derivative of n(c) wrt c.\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/60 + g**5\/10 + 8*g**2. Find the third derivative of d(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2344 + 4204. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6016016 to the nearest integer?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/327 (b) -20709\/2 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47165*r**2 - 94329*r**2 + 47161*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n. Let k(a) = 13364890*a. Give k(u(w)).\nAnswer: -40094670*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59695, 59675, 59643, 59599, 59543, 59475?\n\"Answer: -6*k**2 - 2*k + 59703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - (-3 - -5)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 108*a**2 - 2*a - 2. Let c(v) = -3*v + 8. Let w be c(3). What is the tens digit of t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) 0.5 (c) -4413\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -510 + 706. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + y**2 - y**2 + 2655*y**3 - 3795*y**3 + 3700*y**3 + (0*y + 0*y - 2*y)*(4*y**2 - 3*y**2 - 3*y**2).\nAnswer: 2565*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 66+-163.98\nAnswer: -97.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*r**4 + r**3*v**3 - 7*r**3*v + 8*r**3 - 32*r**2*v**2 + r**2*v + 17*r*v**3 - 2*v**2 - 24 wrt r?\nAnswer: -1272*r + 6*v**3 - 42*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 3*r**2 + 33*r - 154. What is g(5)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636772538 to the nearest integer?\nAnswer: 25234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 5*s - 2. Let g be b(-4). Is -4 + g + 2\/1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -3*z + 2*t - 19, 3*z - 11 = t. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttqtyycqt. Give prob of sequence qy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from eiieeie?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mook when four letters picked without replacement from {o: 2, k: 2, j: 1, m: 3, q: 9}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25636793 and 3334.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let l(j) = 28*j**2 + 13*j - 8*j - 36*j**2 - 9*j. Calculate l(v(d)).\nAnswer: -8*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7751 - 7715. Let l(d) = 36*d + 12. Let y be l(6). Calculate the greatest common factor of u and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**2 + 124*j**2 - 40*j**2 - 40*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(-2 - 5\/(-3)). Suppose -c*k + 86 = 320. Is 0\/(-3) - k\/3 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 - 32\/24. Let x be 3 - (0 - 3 - o). Let g(t) = -6*t + 2. Let j(b) = 5*b - 2. Determine x*j(v) + 4*g(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18*(14\/77 - (-146328)\/(-33)). List the prime factors of q\/(-270)*5\/(-2).\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451075?\nAnswer: 5, 58043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 1 n when three letters picked without replacement from mmnsyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 5*w + 120 - 9*w - 55*w - 152.\nAnswer: -59*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 491 = -5*g, -268 = -2*q - 2*g + 4*g. Let c = 142 - q. Let j = 11 - 9. Solve -3*l + j = l - 5*d, 0 = -5*l + d + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30035106 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*i = 8*i + 21, 3*c + 3*i + 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**2*o**5 - 2*h**2*o**2 + 3*h**2*o + 34*h*o**5 wrt o.\nAnswer: 240*h**2*o**2 + 2040*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 1994414*w**2\/5.\nAnswer: 2*w**2*(w + 997207)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/4 - 2535*u**3\/4 - 304827*u**2\/2 - 12789533*u - 362074878 = 0. Calculate u.\nAnswer: -2277, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43015951 divided by 47.\nAnswer: -915233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -19 + (5 - 10) - -2. Which is bigger: -24 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 - 1. Let l(t) = 15*t**3 + 6*t**2 - 6*t + 6. Let n(r) = -r**3 + r. Let i(j) = l(j) + 6*n(j). Calculate 6*f(k) + i(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29194, 29195, 29196, 29197, 29198?\n\"Answer: m + 29193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28968997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70 - 139 + 24 - m + (2 - 3 + 0)*(-3 + 3 - 4*m).\nAnswer: 3*m - 185","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 33. Let t = 113 + u. Suppose p - t = -p. 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: Let b be (-2 + 3)\/(9 - 10). Let g be b\/4 - 8\/(-32). Solve 3*p - 14 + 5 = g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 453, 1006, 1673, 2454?\n\"Answer: 57*b**2 + 382*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/2 (b) -0.0106 (c) -2\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -14, -15, -12, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0.1, 0.37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-12) - (28\/16 + -2). Suppose 0 = 2*h + t*h - 290. Let z = 60 - h. Solve 3*y + 1 = -z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 52*c - 207. Let m be o(5). Let w be ((-4)\/(-5))\/(m\/210). Solve w*v = v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 2*g. Let c(w) be the first derivative of w**3\/3 + 250*w + 195. Let i(t) be the first derivative of c(t). Calculate z(i(v)).\nAnswer: -12*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:24 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/3 + 191172*f**2 + 6854901572*f + 513759232900\/3.\nAnswer: 4*(f + 25)*(f + 71677)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -3\/7 (b) 0.6 (c) -7\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2675882, -2675894, -2675906, -2675918, -2675930, -2675942?\nAnswer: -2675954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11486960819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Suppose -2*g - 5*x - v = 0, x - 1 = -3*g - x. Is (-1)\/(-2)*(25 + g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14710386 - -0.1138.\nAnswer: 14710386.1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, -2\/5, 88, -0.343, -3, -5?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15873319 plus -5?\nAnswer: 15873314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 7 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 17*g - 7*g - 12*g)*(0*g**3 - 2*g**3 - 2*g**3)*(4*g - 5*g - g).\nAnswer: -16*g**5 - 424*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-5)\/((-5)\/9). Suppose i*b = 20 + 151. Calculate the remainder when (-20)\/3*15\/(-2) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 25481*d**2 - d - 25481.\nAnswer: (d - 1)*(d + 1)*(d + 25481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000060328129 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -4\/9, 0.008, -7\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + 4 + f**2 - 2*f - 2*f**2 + 0*f**4 - 2*f**4 to i + x*f**4 + n*f**3 + u*f + r*f**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 20 = -10*h. Sort -4, 13, h, 9.\nAnswer: -4, h, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2587.3, -30, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/14)\/(4\/140*5). Suppose -12 = -2*z + 5*t + 23, 2*z + 3*t = -5. Suppose -3 = -r*c + z. Solve -6*u = -c*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -578*l**2 - 4713*l - 699. Calculate f(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490471644.\nAnswer: 2, 3, 13, 149, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1213 + 30240?\nAnswer: 32003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.4 and -4.\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 7:02 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exf when three letters picked without replacement from {f: 3, e: 1, j: 1, x: 1, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -151158039539 and -0.22.\nAnswer: -151158039539.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 5. Determine p(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 27, 47, 67?\n\"Answer: 20*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -78. Let p = 127 - 132. Which is the third biggest value? (a) p (b) m (c) -1 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1377 divided by -133.\nAnswer: -1377\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 467*u**2 + 45*u - 63. Give w(0).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 27 = -23. What is the nearest to -0.06 in b, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 8*o + 8. Let u be y(-6). What is the greatest common divisor of u and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31001 (base 5) to base 11.\nAnswer: -155a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105024 or -105023?\nAnswer: -105024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80882850?\nAnswer: 2, 3, 5, 539219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.94 - -0.06. Let l(d) = -4*d**2 + d + 1. Let o be l(-1). Sort -5, k, o in descending order.\nAnswer: k, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/3 - 52*a**2\/3 + 32*a = 0.\nAnswer: -8, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 - 8*s + 8*s)*(-6 + 2 + 5*s + 2).\nAnswer: -25*s**4 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*t\/(t\/(t\/(t\/((t\/t**(12\/7))\/t)*t))))\/((t\/t**(-5\/2))\/t*(t**(-3\/10)\/t)\/t) assuming t is positive.\nAnswer: t**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -350466 to the nearest one thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10, 6 = 4*h - 0*h - y. Suppose -72 = 3*d - 4*d + h*n, 4*d + 3*n = 343. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-10) - (-315072)\/320. Let r = 331 + p. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 3 - 6)*(-3*t + 2*t + 2*t + (1 - 1 - 1)*(-2*t - 3*t + 2*t)) in the form j + b*t and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5223681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from {p: 7, f: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-158)\/(-10) - (80\/(-8))\/50. Let d be ((-9)\/9)\/(1\/(-10)). Suppose 5*j = -d, -5*j - 3 = 4*q + 19. Put v, 3, q in increasing order.\nAnswer: q, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 27187?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and -41\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*0.142\nAnswer: 0.2698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = h - 54, p - 144 = -2*h. Find the third derivative of 70*u**3 + 15*u**2 + u**4 - h*u**3 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 + -98. Suppose -5*t = -4*o - 35, -o - o - 16 = -2*t. What is the remainder when y\/8 - 2\/8 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35.7, 1\/6, 0.2, 6 in increasing order.\nAnswer: -35.7, 1\/6, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -284.881 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 8*a**2 + 3*a - 13. Let m be i(8). Let k = -8 + m. Suppose 0 = -5*r + 5, k*p - r - 81003 = -4*r. Round p to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-8)\/6 - -1). Let i = -60 + 65. Let g = i + y. Solve -2*w = -0*w + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 560541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-13 + (-473)\/(-33)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1\/s*s**(1\/2)*s)\/((s**(-5)\/s)\/s**(-2\/7))*((s*s**(-1)*s*s)**23)**(-7\/5) assuming s is positive.\nAnswer: s**(-3933\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/r**(9\/7))*r*(r*r**16*r)\/r*r)\/(r\/(r\/(r\/(r**(-1\/4)*r)))*r**(-1\/8)\/r) assuming r is positive.\nAnswer: r**(1185\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75669 is divided by 15127?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 6 = 0. Suppose 0 = -3*a - 0*a + 27. What is the smallest common multiple of a and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3.76?\nAnswer: -7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6757958*f**2 - 6276804 wrt f.\nAnswer: 13515916*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-20)*-2*75\/30.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - y + 18 = 0. Let o be (-160)\/(y - 46\/15). Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u - 7. Let c(b) = -2*b + 3. Let d be c(-3). Let p(q) = -4 - d - 22*q - 9. Suppose i = 5*i - 2*y - 66, 4*i = -5*y + 59. Calculate i*g(t) - 5*p(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 1 - 13*b - b**3 + 8*b - 6*b**2. Let s be j(-6). Suppose s*g = 2*i + 115, 0*i + i = 3*g - 69. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxgggxgggxxx. Give prob of picking 2 x.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (116\/126 - (-14)\/63)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 4*y + 4*y)*(3 - 1 - 3 + 2 - 2 - 1 + (1 - 3 + 1)*(-3 - 1 + 5) - 1 - 1 - 2)*(-3*y - 4*y + 3*y) in the form w*y**3 + g + r*y**2 + x*y and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*y - 109 - 891 - 218 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 678.01109 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 48. Suppose 0 = -n*r + 9*r + 53400. What is r rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) - 26\/10. Let q(c) be the second derivative of c**4\/24 - 2*c**3\/3 - 41*c**2\/2 + 69*c. Let x(l) be the first derivative of q(l). Give x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 10100659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - 14*c**2 - 4*c - 7. Let z(g) = -11*g**3 + 57*g**2 + 15*g + 28. Let o(q) = -15*t(q) - 4*z(q). What is o(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2314*p**2 + 6912*p + 20. Let s(c) = -769*c**2 + 2304*c + 7. Let z(o) = 7*f(o) - 20*s(o). Find the second derivative of z(l) wrt l.\nAnswer: -1636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1556 - 359*c**2 - 1556)*(c - c - c) + (-2 + 2 - 2*c)*(1 - 1 + c**2) to w + y*c**2 + l*c**3 + v*c and give l.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, 4, -274, -191, -1\/6?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275441 is divided by 1203.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 4626?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1155)\/14*(2160\/110 - 20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4568172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2699 + -2.7301. Which is the closest to -4? (a) -1\/3 (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*t**5 + t - 77*t**3 - 30*t**5 + 58*t**3 + (-3 + 2 + 3)*(-t**5 + 2*t**5 + t**5).\nAnswer: 21*t**5 - 19*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 51150*k + 81685000.\nAnswer: -(k - 1550)*(k + 52700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*(-12)\/9. Let q be (w - 2)\/((-8)\/4). Which is greater: q or -2\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 + 728. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - y = -22, -2*t - y + 28 = 3*t. Suppose -t*c = -8*c + 178. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1599, -970 in descending order.\nAnswer: 1599, -5, -970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -1*(2 + sqrt(325) + -2)*-3 + -1)**2.\nAnswer: 120*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by (-2226)\/(-9) + ((-11)\/(-3) - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0797 + -0.0203. Which is the second biggest value? (a) -20\/3 (b) 2\/13 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -2\/89, -0.2, 39422 in increasing order.\nAnswer: -0.2, -2\/89, 5\/3, 39422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103011 - 221?\nAnswer: 102240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1501766681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 - 11*n - 8. Suppose -5*k + u - 35 = 4*u, 0 = -3*u. What is the lowest common multiple of r(k) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 3. Let x(v) = 1. Let i(d) = d + 6. Let n(f) = -i(f) + 5*x(f). Let k be 4\/(1\/2*-2). Determine k*n(r) - w(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 271834399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 2*p**3 + 108 - 158 - p**3 as h*p**2 + z*p + f*p**3 + v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -67?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4238, 8479, 12720, 16961, 21202, 25443?\n\"Answer: 4241*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 312\/6163 greater than 2.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11191 - -11188. What is the closest to -1\/3 in i, 3, 4\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 691*x + 2. Let a(b) = 692*b + 2. Let g(o) = 4*a(o) - 3*i(o). Let r be g(5). Let c = r + 1523. Round c to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 5. Let m be a(5). What is the nearest to 1 in -5, m, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 3 (c) 20\/11 (d) 1\/11 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/5 in -2, 2\/15, -90?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3506*x + 27600 = 4081*x for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2 + 265*c + 1353. Determine i(-27).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -709\/4 - -4109\/24. Find the common denominator of g and -43\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c. Let v(x) = 2*x**2. Determine v(g(m)).\nAnswer: 450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5*p**3\/3 + 3*p**2\/2 + 3*p + 63. Let o(t) = -4*t**2 + 2*t + 3. Calculate 3*b(z) - 4*o(z).\nAnswer: z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73\/2 - -35. Which is the closest to 0? (a) w (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*i + 36, 2*a + 13 = i - 0. Suppose -5*x + 5*u - 20 = 0, -46*x + 51*x - 2*u = -5. Put a, -7, x, 2 in decreasing order.\nAnswer: 2, x, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -8043.6583?\nAnswer: -8043.3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2296*y + 855*y**3 + 3*y**2 + 168*y**3 + 2296*y to the form k*y**2 + s*y**3 + t + m*y and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -20*o + 6. Let g = -17111 - -17114. What is q(g)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 2 (c) -1.511 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 3 + 8 + 2. Let b(c) = c**3 - 5*c**2 + 4*c + 5. Let x be b(4). Let t be (0*(-1)\/1)\/(-4 + x). Determine g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 159*u**2 - 42109*u. Let r(o) = -29*o**2 + 8422*o. What is -22*r(t) - 4*v(t)?\nAnswer: 2*t**2 - 16848*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {d: 2, m: 7, o: 1, y: 1, s: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 1\/3*d**4 + 1\/30*d**5 + d**3 - 2*d**2 + 0*d + 1. Factor u(s).\nAnswer: 2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (10 + -7 + (-4 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3, -3*w + 1247 = -42*b + 47*b. What is the smallest common multiple of b and 3?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3011577 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 7 - 32. What are the prime factors of 408\/30 + (-3)\/f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20400*r + 20400*r + 91*r**3 - 3*r**3 + 2*r**3 + 3*r**3 + (-r**2 + 0*r**2 + 0*r**2)*(r + 2*r - 4*r).\nAnswer: 94*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1604 and 213116?\nAnswer: 85459516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 a when three letters picked without replacement from eeddddadrrddcddzdd?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 - 77*p + 121*p - 43*p. Let s(x) = -12*x**3 + 7*x**2 + 3*x - 118. Let j(n) = -4*b(n) + s(n). What is the second derivative of j(t) wrt t?\nAnswer: -96*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, s: 4, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/7 - 30*g\/7 - 16 = 0 for g.\nAnswer: -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*k - 1007*k + 5800 = -612*k for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 891, 1193, 1693, 2391, 3287, 4381, 5673?\nAnswer: 7163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 513888 a multiple of 1616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**3 + 5*c - 5. Let f(a) = 7*a**3 + 8*a**2 - 8. Let x(n) = -8*n**3 - 6*n**2 - n + 7. Let o(h) = 3*f(h) + 4*x(h). Determine -4*m(t) - 5*o(t).\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368*d + 116*d - 238 - 518 = 0. Let t = -1 + 1. Which is the nearest to 0.2? (a) d (b) -5\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-275))\/((-3)\/(-1))*9\/(-45)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 6*(-1)\/(-2). Suppose -54 = -27*h + 81. Suppose -4*b - 2*y - 30 = 0, -5*b - y = 30 + 6. Sort h, -2, b, o in decreasing order.\nAnswer: h, -2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a = -3. Find the common denominator of 134\/12*a + 2 and -9\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7*q - 3 = 5*q, -q = -3*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*y = -70*y - 756. Suppose -y*t + 270 = -105*t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/14))**(-16\/3) assuming x is positive.\nAnswer: x**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-77))\/((-4)\/(-224))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (9 - 2) + 2 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*o + 10 + 53*o + 140*o + 59 - 3.\nAnswer: 281*o + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 4313761?\nAnswer: 4313758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -129321137615 take away -3?\nAnswer: -129321137612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Let t(z) = z + 33. What is the units digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000010100000 (base 2) to base 15.\nAnswer: -4d7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v*v)**24\/(v**(-7\/6)*v\/v**13) assuming v is positive.\nAnswer: v**(943\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, o: 12}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50407795, -50407863, -50407933, -50408005, -50408079?\nAnswer: -50408155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 9. Let t be ((-14)\/4)\/((-4)\/(-8)). Let b be z(t). Let f be (b\/(-6))\/((-1)\/12). Solve f*h = -9 + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2463*r = 4*t + 2466*r + 8, 3 = -5*t - 2*r. Put -17, 12, t in ascending order.\nAnswer: -17, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 4*s + 16, 2*y - 16 = -4*s. Suppose y = -4*z - 0*z + 40. Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12567 and 61773?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 107?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12101351 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 41.2. Let n = -28.1 + h. Let m be (15\/(-100))\/((-4)\/(-10)). What is the second biggest value in n, -1\/2, 0.1, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 76288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 7 - 11. Suppose -b*z = -z - 108. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 4. Let d(b) = 17*b**2 + 6*b - 10. Is d(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-15)*n*n\/(n\/n**(-10\/3)))**(-48))**(-6\/7))**(-4) assuming n is positive.\nAnswer: n**(19968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*m + 533*m + 537*m - 1605*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/17 - 626*c**2\/17 - 46464*c\/17 = 0.\nAnswer: -192, -121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 14*v - 4. Let i(x) = -6*x**2 - 71*x + 19. Let b(w) = 2*i(w) + 11*u(w). Let m be b(10). Let j = m + -14. Which is greater: 1\/12 or j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1288\nAnswer: -1\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795 - 5*q - 10*q + 795 + 17*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 717050, 717033, 716998, 716939, 716850, 716725, 716558?\nAnswer: 716343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + -161. Let m(b) = -8*b + 50. Let l be m(6). Is 8 a factor of s\/12*(-2)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3349007545 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -143*h**2 - 2*h + 1. Let r(o) = 142*o**2 + 3*o - 2. What is -3*q(s) - 2*r(s)?\nAnswer: 145*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(125)*-1 + 1.\nAnswer: -5*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13))**(6\/7)\/(o**(6\/19)*o*o**(1\/3)) assuming o is positive.\nAnswer: o**(-5104\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272821966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 5:19 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2337781 - 939270 = 588*t - 3332537. Calculate the highest common divisor of 216 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -28*v + 10. Suppose 0 = -5*u + 9*u + 132. Let p = -35 - u. Is 7 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 11, -2\/7, 1\/5, -63, 0.37?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d. Let r be ((-2)\/3)\/(2\/(-6)). Let a(v) be the third derivative of v**6\/40 + v**4\/12 + 2*v**2 + 125*v. Give r*p(u) - a(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2576, -10290, -23144, -41138?\n\"Answer: -2570*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwiw when four letters picked without replacement from wiwiiwwowiiiwwwiww.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 - a + 15. Let c(x) = -10*x**2 + 2*x - 21. Give 4*c(m) + 5*u(m).\nAnswer: 10*m**2 + 3*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-220)*((-6)\/3)\/(-6)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62622)\/(-82005)*33\/36.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 13) to base 14\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1071 + -1070.96029. What is t rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3*4*((-13706)\/(-12))\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541156 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/102 and -77\/102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r - 1. Suppose 0 = u + 5. Is a(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 96*x - 33*x - 61*x. Let k(g) = -60*g - 3. What is k(i(b))?\nAnswer: -120*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127824 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*x**4 - 3015144*x**3 + 68990622*x**2 + 12618504*x + 574701 = 0.\nAnswer: -8329, -1\/11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 5 (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24657.\nAnswer: 3, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 63. Let g be (8*x\/(-2))\/(3\/6). Let u(h) = -h**2 - 8*h + 8. Let a be u(g). Solve -20 = 4*m - a*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2345958 to four decimal places.\nAnswer: 0.2346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-26 + (38 - -10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5644959?\nAnswer: 3, 23, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-5 - 2) + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.9893 + 13. What is t rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f**3*o**4 - 22*f**3 - f**2*o**4 - 4*o**2 + o wrt o?\nAnswer: -144*f**3*o - 24*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.17 take away -138?\nAnswer: 144.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**4 + 2*l - 1 - 1 + 2*l**5 + 2 - 5. Let d(n) = -3*n**5 - 8*n**4 - 3*n + 8. Let t(y) = 5*d(y) + 8*h(y). Find the second derivative of t(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 75*q**4 + 2*q**2. Let r be i(-2). Round r to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19066194 + 12?\nAnswer: 19066206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 323381927 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.6 + -39. Which is the fourth smallest value? (a) x (b) -3 (c) -0.03 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/15 - p**4\/3 + 4*p**3\/9 - 8*p. Factor o(y).\nAnswer: 4*y*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 50846 = -3*p, 153 - 169 = 4*r. What are the prime factors of p?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 482*q**2 - 366*q wrt q?\nAnswer: 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**15)\/(g\/((g*(g\/((g*g**(-8)*g)\/g))\/g)\/g))*(g**(-3))**(-22\/5) assuming g is positive.\nAnswer: g**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 104882*s**5\/7 - 44884*s**4 - 8155720*s**3\/7 + 8301936*s**2\/7 - 2079360*s\/7 = 0.\nAnswer: -8, 0, 114\/229, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 764501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 5 (c) -0.3 (d) 76 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4077 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51164.733995923 + 0.5\nAnswer: -51164.233995923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1. Let t(m) = 8*m**2 + 3*m - 3. What is -2*j(a) - t(a)?\nAnswer: -8*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b**3 - 8*b**2 + 1\/1020*b**6 + 0*b - 1\/510*b**5 + 0 - 1\/204*b**4 + 1\/1785*b**7. Factor r(w).\nAnswer: 2*w*(w - 1)*(w + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 + 242. Let c be z(0). Suppose 221 = 4*y - 5*i, 6*y - 2*y + 2*i - c = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10*w - 29 = -9*w, 0 = -5*u + 119*w + 189 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:34 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19123214 is divided by 791.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487 is divided by 739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178637 (base 13) to base 15.\nAnswer: -b9b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and 121\/46640928.\nAnswer: 46640928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - n**2 - n**2 - 1)*(0*n - n - n)*((2*n + n - n)*(1 - 2 + 2) + 4*n + 13 - 13) to the form z + v*n**3 + p*n + t*n**2 + g*n**4 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107 = -124*k + 1 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/156135 and 137\/15747330.\nAnswer: 110231310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11206205 + 7?\nAnswer: 11206214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -22*a**2 + 100. Let y(g) = -9*g**2 + 40. Give -5*r(w) + 12*y(w).\nAnswer: 2*w**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124748 centimeters in meters?\nAnswer: 0.00124748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.353 take away 19?\nAnswer: -18.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 2*c - 2. Let l(a) = -7*a**2 + 3*a + 3. Give -3*k(d) - 2*l(d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 3. Suppose 6*g - 2*g + 12 = 0. Let n(m) = m - 4. Suppose 0 = 4*d + 8 - 0. What is d*n(r) + g*v(r)?\nAnswer: 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let v(k) = k - 2. Let u(a) = -a + 3. Let l(d) = 2*u(d) + 3*v(d). What is s(l(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-45)*(19\/(285\/9))\/(-4)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439508 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -183, 2, 1, -1 in increasing order.\nAnswer: -183, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 115903.\nAnswer: 35\/115903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 41884 - 28016 = 0. Suppose 3334 = 5*d - i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62025760 to the nearest ten thousand.\nAnswer: -62030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 59. What is d(-28)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*f**4 + 142*f**2 + 3*f?\nAnswer: 4584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c + 135. Let t be g(22). Find the third derivative of 6 - 8 - 61*o**t - 9*o**3 + 19*o**2 wrt o.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(3 + 1 + 3)*(o + 2*o - 5*o).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 342 - 691 + 25*c - 2*c**2 + 265 + 61*c.\nAnswer: -2*(c - 42)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4 - -1) + (-99)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdt when three letters picked without replacement from tqqkdqkwqkqdqzw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135734232 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16\/28*7 + 328\/(-84)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/6 - a**3\/3 + a**2\/2 - a - 5. Let q(m) be the first derivative of f(m). Calculate q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30220 or 574170\/19?\nAnswer: 574170\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/3 + 502*b + 58. What is the hundreds digit of n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -1 - (-1 + -253). Let a = -82 + h. Let t be 14 + (8 - 62)*-1. What is the greatest common divisor of t and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1366)\/(-1378) - 1\/1. Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 129*o**2 + o. Let u be 3\/9*(-3)\/(-1). Calculate the remainder when a(u) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/27 and 73\/14622?\nAnswer: 131598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23588 + 1068. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o, -o = 4*h - 84 - 90. Calculate the greatest common divisor of 1188 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*w + c + 6, -c + 13 = -4*w. Find the common denominator of (-18)\/(-300)*(w + 2) and (0 - -1) + 69\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31605 and 57495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/64)\/(7\/28).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5) + (3 - (2 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-576))\/(47\/(-56) - (-8)\/(-28)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -189*n + 200651 + 69374 + 33887. Calculate the lowest common multiple of 14 and n.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 100 = 2*c - 4*w, -2*c - 4*w + 60 = 0. Let n be (8 - (-5 + 2))\/(-1). Let l(o) = o + 18. What is the remainder when c is divided by l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/((-36)\/(-10) - 4). Calculate the highest common factor of 16 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2695 + -2683. Let p be ((-8)\/(-6))\/((-1)\/(-3)). Suppose p*d + 2 = -d + 4*g, 0 = -2*g + 6. Solve -d*v + x = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 96 = 2*v, 0 = 2*t - 5*t - 4*v - 102. Let j = 34 + t. Suppose 4*k = -4*c + 552, 2*k + c = j*c + 251. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/5 - 13*j**2\/2 - 8. What is the second derivative of l(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 3.01. Let s = -6 - g. Let f = -8 - s. Which is the third biggest value? (a) f (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p - p**2 + 104*p + 40*p - 22*p**2.\nAnswer: -23*p**2 + 109*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101002 + 12?\nAnswer: 101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + t - 2)*(-3046 + 3046 - 66*t).\nAnswer: -66*t**2 + 132*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30435421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 615 and 24026.\nAnswer: 360390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 2:08 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + sqrt(567) + 0 + 4 + sqrt(567) + sqrt(567) + 1 + 3 + 6*(sqrt(567) - (0 + sqrt(567))))**2 + -1).\nAnswer: 1620*sqrt(7) + 30762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 989*j = -986*j - 8, 6 = -4*b + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 31) + -15 + 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/525*-7*-9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131527 is divided by 856?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*f + 30, 3*f = -2*k - 2*k + 80. Let v = k + -14. What is the remainder when 22*1\/2*3 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 1160 - 664. Suppose -15*w = f + 326. Let x = 45 + w. Solve -4*b - 3*h - 16 - x = 0, 3*b = -h - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1195?\nAnswer: -5975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4866 is divided by 118.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*b - 108048, 3*b - 2*b - 4*y = 27032. Let x = b + -486407\/18. Find the common denominator of -109\/6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1286.98742 - -1287. Let g = 1.588 + -1.6. Let s = g + a. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((-104)\/10)*(-444)\/(-333).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -3*z + 510, -4*z + 2*f = -684. Suppose -5*r - z + 42 = 0. Let o = r + 36. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 2*b - 7*b**3 + 6*b**2 - b**3 + 5*b**3. Let x = 215 + -219. Let p(n) = 4*n**3 - 7*n**2 + 2*n. Calculate x*p(k) - 5*z(k).\nAnswer: 4*k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159681.27 hours in weeks?\nAnswer: 950.48375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(5\/6))\/n)\/((n\/n**(-5\/3))\/n))\/((n\/(n*n\/(n**(-1\/6)*n*n)))\/(n\/(n**(-9)\/n))) assuming n is positive.\nAnswer: n**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 151\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24705 and 326655.\nAnswer: 2939895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 + b**2 + (-6*b - 9 + 9)*(-b - 3 + 3) - 3*b**2 + 2*b**2 + 2*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1385 in 1, -3\/7, -0.3, -0.07?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429445 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2)\/(4\/(-12)). Let k = 514 + -218. Let m = 294 - k. Is m > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r - 4*w = -28*r - 16, 5*w - 27 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rozr when four letters picked without replacement from rooooooozoooorooo?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032074793 to the power of 1\/2, to the nearest integer?\nAnswer: 45079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5)\/h)**(-1\/14))**(-3) assuming h is positive.\nAnswer: h**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-94591)\/(-42) + 2\/(-12).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 36*a + 50. Let k be g(35). What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-232)\/(-145) - -19\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 356\/5 (b) -3 (c) -0.2 (d) -5 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w - 65. Let j be b(-12). Let c = j - -15. Solve c = -5*u + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -19. Calculate the remainder when 59 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 2\/3, -1 in decreasing order.\nAnswer: 2\/3, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = -14748*p + 14736*p + 5*z, 2*p + 51 = -8*z + 3*z for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 4. Let p be s(-6). Suppose -126 = -4*d - i, 5*i - 51 - p = -3*d. Suppose d*r - 28*r = 48. Solve -r = -0*t - 4*t - 4*v, -5*v + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/35, 3\/4, 2, -8\/41 in ascending order.\nAnswer: -8\/35, -8\/41, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 4*q - 38. Let g be z(-10). Let y = -75 + g. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41\/28 + 5\/7. What is the third biggest value in 5, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25404 and 464.\nAnswer: 101616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.99 + 8. Let f = y - -1.99. Let w = -0.187 + -1.813. What is the fourth biggest value in 0, w, f, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -86, -5 in decreasing order.\nAnswer: -4, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-526)\/209 - 135690\/(-49753).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689 = -268*d + 919 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b*d*i**2 + 2*b*d*i*l - b*i*l - 26*b*i + 11*d*i**2*l + 2*d*i**2 - d*l + 2*l wrt i?\nAnswer: -8*b*d + 22*d*l + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-16)*8*240\/216)\/(10\/(-318)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 2927*h + 2925*h + h**3 - 3 - h**4 as v*h**2 + f*h**4 + c*h + j + d*h**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 - 126.7. Let m = u - 6.3. Is -1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14522 (base 10) to base 15\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 36751237.\nAnswer: -5\/36751237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*c**6 - c**2 + 158.\nAnswer: -16680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 15. Give d(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*z - 174 + 2805, -2*c = -2*z - 1734. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + (-316)\/28. Let t(b) = b**3 + 12*b**2 + 10*b + 13. Let w be t(x). What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1756 + 2*c**2 - 4*c**2 - 8*c**3 + 1753 as l*c**2 + m*c**3 + f + r*c and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1\/2, -3\/2 in ascending order.\nAnswer: -3\/2, -1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 6. Let v be d(6). Let x = 80 - v. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/123772 and -23\/145.\nAnswer: 618860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g - 3*z + 7, -4*g - 36 = -z. Let c be 2*2\/g*0. Suppose c = w + 2*p - 9, -2*w + 0*w + 2*p = -48. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191449363.\nAnswer: 7, 337, 81157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10336)\/5320 + -3*8\/(-12)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125*n**2 + 5611*n**2 - 1127*n**2 - 1128*n**2 - 1130*n**2 - 1107*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 773893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 + 9*f**4 - 12*f**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*d**2 + 31684*d\/3 - 31390\/3.\nAnswer: -2*(d - 1)*(147*d - 15695)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 52 = r. Does 2 divide (-6)\/(-4)*r\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*c - 60, 4*c + 3*g = 44 + 38. Suppose r - 10 = c. Suppose 11*f - 6*f - 20 = 0. Calculate the greatest common divisor of r and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b50 - -61?\nAnswer: -10aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p**2 + 7*p + 21. What is the units digit of l(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 77232387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyd when three letters picked without replacement from ufkdyugkudyuuuyduydu.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*n**2 + 89164*n - 826136.\nAnswer: 4*(n + 5582)*(4*n - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 16*z**2 + 8*z + 31. Calculate r(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 89 - 394 = 137 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 11*b**2 - 25*b + 12. Let m = 13 - 5. Let v be f(m). Let o = 7 - v. Solve o*y + y - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93916500 and 1392.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*w**5*z**3 - 20*w**3*z - 375*w**2*z**2 + z**3 wrt w.\nAnswer: -3480*w**2*z**3 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7001431.\nAnswer: 7001431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 - -107. Let n = 13 - f. What is the third derivative of 3*j**3 + 3*j**2 + 0*j**2 - 40*j**3 + 16*j**n wrt j?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3\/3 - 80*s**2\/3 - 11404*s\/3 + 280280\/3 = 0. Calculate s.\nAnswer: -55, 26, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1053) + 5 + sqrt(1053) + 2)**2.\nAnswer: 252*sqrt(13) + 4261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -650, -976, -1304, -1634, -1966?\nAnswer: -2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:48 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2371 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/300 and 49\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58632, 58877, 59540, 60831, 62960, 66137?\nAnswer: 70572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5\/7 - 1149*j**4\/7 - 19710*j**3\/7.\nAnswer: -3*j**3*(j + 18)*(j + 365)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/4, -0.3, 1.27?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - d?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3610 - 1593. List the prime factors of p.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/(1056\/(-8)))\/((-8)\/160))\/(3\/(-45))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*20\/(-2). Let t be (-2)\/5 + (-34)\/(-85). Let i = 3 + t. Solve -i*q = -l - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:15 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 15\/98 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d - 4. Let q be t(-3). Let m(s) = -4*s**2 - 4 + 6*s - 3*s - 7*s + s**3. Let n be m(q). Are n and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-1)*u)**(3\/7)*(u*u\/(u\/(u*u\/(u*u*u*u*u**2*u)))*u)\/(u*u*u\/(u\/(u\/u**(-2\/17)))) assuming u is positive.\nAnswer: u**(-575\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**2 + 1\/12*g**4 + g + 0*g**3 + 0. Let m(u) = -u. Calculate m(n(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 10602987220.\nAnswer: -10602987219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -20. Solve -5*l + p = 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/5, 1\/3, 2, 396?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*b - 22, 0 = z - 5*b - 1 + 8. What is the third derivative of 4*i + 2*i**z - 4*i - 2*i**2 - i**3 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16386\/13 at most as big as -1261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b - 3 - 3 + b + b**2 + 3. Let r = 18 + -22. Give f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 + (-1023)\/110?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300382.\nAnswer: 2, 1650191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637647367 to the power of 1\/2, to the nearest integer?\nAnswer: 60313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 - 242. Let l be (-8)\/14*140\/(-120). Sort y, l, 3\/4.\nAnswer: l, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -2 - (136 - 153)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.03, 6 in descending order.\nAnswer: 6, 3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -307, -350, -393, -436, -479?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 18*r - 232*r - 10*r.\nAnswer: -224*r - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248.7 + -246. Let x = -2.91 - 0.79. Let k = x + r. Sort -6, k, 0.3.\nAnswer: -6, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*j + o + 5, 0 = 2*j - 5*o - 19. Let n be ((-13)\/(-1) - -2) + j. Suppose x + 11 = 2*f, 3*x + 5 + n = 2*f. Let m(v) = -v + 3. Give m(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1886 + -1095. Let b = v + -412. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2 - m + 1. Let k be z(1). Let t(y) = 3*y**2 + 2. Suppose 2*u - 4 = u. Let s be t(u). Calculate the highest common factor of k and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from oxxxxon?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2222?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 + 3*o**2 - o. Let r(z) = 7*z**3 + 2*z**2. Calculate -3*r(j) + 2*y(j).\nAnswer: -7*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1)*(-15)\/195. What is the second smallest value in n, -4, 8, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(143)\/(2*sqrt(99)))**2 + 1)*2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.0621\nAnswer: -0.01242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214997340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 15*c + 6. What are the prime factors of d(16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*w - 151 + 17, 5*k - 146 = -2*w. Let a(r) = 31 - 5*r - k - 3*r**2 + 3*r. Let m(g) = 7*g**2 + 4*g - 7. Give 5*a(p) + 2*m(p).\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1301? (a) -2\/9 (b) -3 (c) -0.4 (d) -4 (e) 2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19896833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14365337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-442)\/(-221))\/(8\/(-58))*2\/1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 101, 96, 89, 80, 69, 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1133*y**4\/12 - 1782*y**3 + 1419*y**2 + 2*y. Differentiate r(x) with respect to x.\nAnswer: -2266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3 - 231*a**2\/2 - 1213. Factor j(f).\nAnswer: -3*f*(f + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/(-5))\/(((-189)\/18)\/(-7))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-109040)\/64)\/(1\/(-4)). Suppose m = -p + 6*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/31 (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by (20 + (-611)\/39)\/(1\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**2 - 3*y**4 + 4*y**4 - 27*y**2 + (4*y - 4*y - y**2)*(-y**2 + 3*y**2 + y**2 + (-y + 2 - 2)*(3*y + 10 - 10) + 0 + 2*y**2 + 0).\nAnswer: -y**4 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 775*o**5 - 49*o**2 + 9*o - 6. Let p(n) = 1548*n**5 - 97*n**2 + 15*n - 10. Let b(y) = 5*f(y) - 3*p(y). What is the third derivative of b(z) wrt z?\nAnswer: -46140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r + 15. Let x = 5 + r. Put x, 0.2, -0.4 in decreasing order.\nAnswer: 0.2, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/2 - 4\/(-2). Let k be ((-10)\/(-4))\/(f\/(-30)). Solve 3*b = -2*b - k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 69\/4. Suppose o = 5*x + 20, 3*x + 29 = 4*o - 0*x. Suppose -t = -o - z. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31122300 (base 4) to base 3\nAnswer: -2210101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12687 - 12695. Let h be ((-2)\/7)\/(-2 - -3). Which is the second biggest value? (a) q (b) h (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**3\/4 + 27*m**2\/8 - 6*m - 143. Let s(g) = 0. Calculate g.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*b**2 + 1525*b**2 - 5693 + 5693 - 2*b**3 - 713*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 5. Let z(r) = 4*r - 6. Let q be z(4). Suppose 0 = t - q. Suppose 3*p - 5*p + t = 0. Determine j(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i - s, 4*i + s + s = 26. Suppose -i*m - 51 = -179. Calculate the remainder when m is divided by 1\/(2*(-2)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 328 - 356 = 0. Calculate the highest common divisor of 38 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/7 - 372*b**2\/7 - 11520*b\/7 - 118800\/7.\nAnswer: -4*(b + 30)**2*(b + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gse when three letters picked without replacement from egicssp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25543100 rounded to the nearest 100000?\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003605 to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7560 divided by -2?\nAnswer: -3780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4998318 is divided by 1720.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*x + 7, 72*w - 71*w = -3*x - 1. Let z(n) = -n + 8. Let y be z(6). Which is the third biggest value? (a) y (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47874?\nAnswer: 2, 3, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 16. Suppose -4*w = 3*h - 36, 3*w - 1 = -2*h + 23. Let i be g(h). Let l(n) = -i*n + 49 - 49. Let x(d) = -d. What is l(x(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -104\/63, 3, 0, -3\/5, 0.02, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/5 + 12267*z**3\/5 + 898563*z**2\/5 + 886293*z\/5 = 0. Calculate z.\nAnswer: -71, -1, 0, 4161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 13 - 6*b + 0*b + 10 - 6*b. Let d(q) = -q**2 + 6*q - 11. Let z(o) = -13*d(o) - 6*x(o). Give z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, 41, -18100 in increasing order.\nAnswer: -18100, -1, 3, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 189091787483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xelxxlllelejlhlx. Give prob of sequence llee.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91098772487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35522 and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 4 - 1 - r**2 + 2*r**2. Let i(b) = b + 1. Let t be i(5). Suppose 10 = -5*p + 5*c, -p - 5 = -t*p + 2*c. Give x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 32*w**3 - 448*w**2 + 1246*w + 340 = 0?\nAnswer: -1\/4, 17\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4329 - 0.5671. Sort a, -170\/7, -5\/4, 0.1, -2\/5.\nAnswer: -170\/7, a, -5\/4, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2970 and 5910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*4*sqrt(156) + sqrt(156)*-1*-5)\/(4*(sqrt(1200) - (sqrt(1200) + (5*(sqrt(1200) + (sqrt(1200) - 1*sqrt(1200))) - sqrt(1200))))).\nAnswer: 39*sqrt(13)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 1. Let h(f) = 594*f + 118. Let v(k) = -h(k) + 6*m(k). What is the derivative of v(a) wrt a?\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1440\/192)\/(6\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 40 - 76 = -4*r, 0 = -2*y - 4*r + 22 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43237 is divided by 14376.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - -27 - ((1 - 2) + 5). Suppose -x*z + 6*z = -210. Let r be z*(-2)\/(-6) + 4\/(-1). What is the nearest to 2\/7 in r, 0.22, 2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-272)\/(-64))\/((-5)\/(-20)) is divided by (3 - 2)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00172991088 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.8 - 6. Let m = -0.86 - -1.86. What is the nearest to -0.1 in m, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -4 (c) -1\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -16. Let q(f) = -4 + f**3 + 55*f**2 - 122*f**2 + 64*f**2 - 3*f. Let g be q(w). Solve -d + g*d = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a - 7*a + 162*a**2 - 6*a - 163*a**2 - 27. Let y be r(-24). Solve -d - y = 5*c, -2*c - 15 = 3*d + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 36*w**2 + 5*w**3 + 35*w**2 - 101*w**2 + 22*w**2.\nAnswer: w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*z - 3 = -t, -5*z = t + 12. Suppose -5*o + 17 = -3*j, 0 = 2*o - t*j - 15 + 1. Solve 4*b + 9 = -5*q, 3*q + 4*b + o = 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 2*x**2 + 10*x**2)*(194*x**2 - 100*x**2 - 6*x**3 - 99*x**2).\nAnswer: -84*x**5 - 70*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 6. Suppose -230*d + 168*d - 209*d = -813. Suppose -22 = h*n - 4*t - 132, d*n - 159 = 3*t. What is the remainder when 202 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 287856*o + 10357634592.\nAnswer: 2*(o - 71964)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 2. Let b be (-90)\/680 - j\/(-4). Is 1 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Let t(j) = 3*j**2 - 19*j - 563. Let q be t(-11). Sort o, 4, q in decreasing order.\nAnswer: q, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -612 in -2\/13, 2\/5, -10366?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.8+14890424369\nAnswer: 14890424373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (4 - -13) + (-3 - 42)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3100, 0, -41, 8 in descending order.\nAnswer: 8, 0, -27, -41, -3100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5226123*h**5 - 2*h**3 + 8857706*h.\nAnswer: 104522460*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + k + 6 = 0, -5*k = 684*m - 682*m + 30. Solve m = 10*l + 86 - 26 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 + 0 = 2*d, 0 = -d - 2*f - 5. Is 31 + -4 + (3 - d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -130. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14.53608 millilitres?\nAnswer: 0.01453608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 280.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 10 - 6 + 22 - 4 - 48.\nAnswer: -2*l - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -574423 + 3?\nAnswer: -574420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 5:34 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288 - 2*b - 509 + 301)*(0 + 2 + 1).\nAnswer: -6*b + 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-179)\/((-1176388)\/(-558))*(8\/(-72))\/((-2)\/(-8))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/5264773?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 114*i - 65*i + 840 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 11516022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1409486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (64\/6)\/8)*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4037 + 5*s**3 + 4039 - 32*s**3 - 3*s**2 + s as a*s**2 + o*s + p*s**3 + u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1981, 1984, 1997, 2026, 2077, 2156, 2269?\n\"Answer: s**3 - s**2 - s + 1982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*i + 20 = 0, i + 12 = 6*d - 3*d. Solve -d*b - 7 - 13 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43306 + 16756 = -79*l - 430*l for l.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 574104?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or -3?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 8457\nAnswer: 1\/2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-42))\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t\/(t\/((t\/((t*t**(-2\/5))\/t))\/t)*t))\/t))**(-20)*t**(1\/4)*t**(-2\/11) assuming t is positive.\nAnswer: t**(-1405\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 521411 + -84904. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217168561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4021112 (base 6) to base 14\nAnswer: 4d0a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -418. Calculate the greatest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*33\/22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/5*(4 - -1). Suppose 5*c - h = -4*q + 3*q, 3*c = 2*q - 3. Let r(l) = -l**3 - 3*l**2 - 5. What is the least common multiple of r(-4) and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**2\/2 - 4*w - 6. Let n be t(-8). Suppose -n*k = 3*v - 133, -k - 2*k - 3*v + 102 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -9. Suppose -j*x + 165 = -6*x. What is the highest common factor of 21 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, a: 1, x: 10}. Give prob of picking 3 x.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13691475 and 3911850?\nAnswer: 27382950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in -4, 0.1, -12\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(j + j + j)*(1 - 4 + 1)*(j - 4*j + 2*j) + (-1 - j + 1)*(j - 5*j + 3*j) - j - 2*j**2 + j to the form z*j**2 + a*j + v and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55288514?\nAnswer: 2, 293, 94349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*y = 236*y - 5760. Let r = y - -586. Solve 4*t - 4*n + 12 = 0, 2*t + 3*n + r = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Suppose 16 = 2*z - 2*x, -3*x + x = 5*z - 40. Let p(k) = -19*k + 9*k + z*k - 60. Give t(p(y)).\nAnswer: 2*y + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.067 + 0.367. Which is the third biggest value? (a) n (b) 1 (c) -1\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246083 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 219725057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -22, -26, -42, -76, -134, -222?\n\"Answer: -a**3 + 3*a**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-588)\/1295 + ((-111)\/(-15) - 7)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**3 - 2*n**3 + n**3)*(8 + 9 - 6) to the form p*n + l + b*n**3 + v*n**2 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -729, -1465, -2207, -2955, -3709?\n\"Answer: -3*v**2 - 727*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:32 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + h - 6*h = 35, 5*h = -4*s + 10. Suppose -10*y + s*y + 100 = 0. Calculate the lowest common multiple of 80 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 10*j - b - 10 + 10, 40 = -5*j + 9*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489 is divided by 823?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) -2\/3 (d) -9\/28 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -254174 (base 16) to base 8\nAnswer: -11240564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -5.2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 547, 818, 1089, 1360, 1631?\nAnswer: 1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 4*f**4 + (-3*f**2 + 7*f**2 + 8 - 7)*(-3*f**2 - 5*f**2 + 3*f**2) + 13*f - 13*f - 18*f**4.\nAnswer: -34*f**4 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*(96\/(-616))\/4\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-6 + 5)\/(-1). Suppose -h*r = -2*j + 30 - 128, -j = 2*r - 43. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 594348060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*a - 28, 2*r - 4*r + 2*a = -22. Suppose -r*n + 12 = -2*n. Let g(f) = 4*f**2 - 4*f + 1. Is 11 a factor of g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -1\/3, -3, -5.\nAnswer: -5, -4, -3, -1\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 652, 10, 0.02, -0.07, -0.2, 3, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 + 2*u**4\/3 + u**3 + 7*u**2\/2 - u. Let h(w) = -w**3 + 29*w**2 - 103*w + 5. Let s be h(4). Give v(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:58 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (11 - 6) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**6\/120 - f**5\/30 - f**4\/24 + f**2\/2 - 5. Let b(z) be the second derivative of r(z). Factor b(o).\nAnswer: -o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3739 + -3740. Let r = 107 - 62. What is the biggest value in r, 0.3, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160344 and 54.\nAnswer: 481032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/63)\/((-56)\/3528)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/130 and 67\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 3840.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 289*k - 287*k + 28, k = 5*g - 24. Let z(w) be the second derivative of 10*w**2 + 4*w**3 + 0 + 13*w + 1\/3*w**g. Factor z(p).\nAnswer: 4*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37269 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140.5 - -141. What is the biggest value in -0.02, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*l - 9, m + 1 + 22 = 4*l. Suppose -12*b + l = -9*b. Find the second derivative of -1 - 2 + 3*r + 3 - 2*r**b wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-23\/5)\/n*n**(-11\/6) assuming n is positive.\nAnswer: n**(-193\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:44 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-3 - 3) + 4). Let y(p) be the first derivative of 1\/3*p**3 - 2 + 2\/3*p - 7\/6*p**h. What is s in y(s) = 0?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -429? (a) -0.1 (b) -3 (c) 3\/7 (d) -0.4 (e) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 24. Let l be d(14). Solve 4*u - 8 = -l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d**3 + 24 - 15*d**3 + 6*d**2 - 13*d**2 + 6*d**2 in the form m*d**3 + s*d**2 + c + o*d and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8843, 1, 2, 0, -5 in decreasing order.\nAnswer: 2, 1, 0, -5, -8843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 0 + 0 + 3*q - 12*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(242) - (sqrt(242) + 1)**2) + sqrt(242)) - (-5 + 2*sqrt(242)).\nAnswer: -724 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5159948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5199 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.3 + -0.7. Let a = -7 + j. Let s = 5.2 - 6.2. Which is greater: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-70) + (-2)\/(-7). Put 0.1, 1, -2, d in decreasing order.\nAnswer: 1, d, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58418 (base 14) in base 15?\nAnswer: -439c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49\/70*(-3)\/(-21)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/26)\/((2\/56*4)\/1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -58. Let v = 55 + b. Is (13 - 2)\/(2\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let j(k) = -40484*k. Give n(j(a)).\nAnswer: 3277908512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245804718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -103 - 28706.1\nAnswer: -28809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + l**3\/3 + 7*l**2. Let v(c) = c - 1. Let d be v(7). Calculate t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 8*i**2 + 0*i**3 + 0*i + 7\/40*i**6 + 1\/12*i**4 + 16\/15*i**5 - 2. Find the third derivative of k(n) wrt n.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**5))\/f**(4\/9)*(f**0*f)**(-8\/3)*(f*f**0)\/(f*f\/(f**(2\/5)*f)*f)*(((f*f**(-4\/5))\/f)\/f)\/(f\/f**5) assuming f is positive.\nAnswer: f**(-248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 894357476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 + -1.72. Put p, 12, -2\/15, 0.2 in increasing order.\nAnswer: p, -2\/15, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-13 - (-12 - 4) - 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 960695644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -82. Let v be (-6)\/(6*(-2 + 21\/i)). Solve -v = -c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f**4*f*f)*(f\/f**0)**(-2\/71))**39 assuming f is positive.\nAnswer: f**(-13923\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:02 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 55675*q**2\/2 + 775677472*q + 41805448704.\nAnswer: (q + 54)*(q + 55648)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/20 - 4*y**2. Let u(t) = 3*t**2. Give u(h(l)).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*3 - -3*sqrt(21)\/sqrt(3).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14220\/(-34128) - 4866\/72.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**4\/6 - 3*v**3\/2 - 9*v**2. Let r(o) be the third derivative of o**4\/12 + 5*o**3\/6 + o**2. Determine 6*c(i) + 11*r(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 67, 2\/11, -5, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3*a**5\/20 - a**3\/2 + 2*a - 3. Let m(o) be the first derivative of p(o). What is the second derivative of m(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 - (330 + -327)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -16575\nAnswer: -49725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n**3 - 3 + n + 0*n**4 + 0*n**2 + 1\/10*n**5 + 1\/21*n**7 + 2\/15*n**6. Let v(f) be the first derivative of y(f). Factor v(z).\nAnswer: 2*z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 16. Suppose 2*w = -4*j + 14, -2*w = -4*j + j. Calculate the smallest common multiple of 1\/(v\/(-6))*-2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 201 = 4*o, 3*o - 3*d - d = 151. Let g = 67 - o. Solve -g - 7 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147330424*h**2*j + 2755069*j + 4 wrt h.\nAnswer: -294660848*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2162 and 276?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (2 + -3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*o - 47, -2*o - 3*p = 2*o - 71. What is the remainder when 52 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9090, 11618, 14146, 16674?\nAnswer: 19202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - g**2 + g**3 - 5*g**4 - 5 + 7 as z*g**2 + u*g**3 + k*g**4 + o*g + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11138 - -11162. Solve -y*k + 22*k = 2*a + 2, a - 3*k - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*z + 42, z + 34 = i + 2*i. Suppose 5*b - i = 53. Let v = 20 - b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -100*m**2 + 236*m - 368. Let t(p) = 18*p**2 - 43*p + 67. Let q(r) = 28*t(r) + 5*z(r). Find v such that q(v) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26067 or -26085?\nAnswer: -26067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.2 - -6.84. What is q rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*(-42)\/(-14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10602 = 303*g - 1209 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**6\/540 - k**5\/180 - k**4\/18 + 7*k**3\/6 - 8*k. Let h(d) be the second derivative of q(d). Factor h(r).\nAnswer: 2*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 11:25 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -389*d**2 - d. Let a be s(-1). Let m = -164 - a. Let f be (-2)\/3 - m\/(-48). Solve 3 - 5 = -q, -f*q = -k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 9921627?\nAnswer: 9921629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, n: 4, w: 6}. What is prob of picking 1 w, 1 o, and 1 n?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8137704, -8137711, -8137714, -8137713, -8137708, -8137699, -8137686?\n\"Answer: 2*z**2 - 13*z - 8137693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 42644*j\/5 + 42131056\/5.\nAnswer: -2*(j - 946)*(j + 22268)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50311*s**2 + 21569 wrt s?\nAnswer: -100622*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 33. Let b be l(-19). Suppose -b*v + 25 = -9*v. Let i be (-73)\/(-3) - 2\/(-3). Calculate the greatest common factor of i and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*c + 0*c + 74 - 102 = 0, 0 = -3*d + 3*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 != 9.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1\/3 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*n + 525 = -2*n, 0 = -2*z + 3*n + 349. Let t be (-12)\/(-15)*z\/4828. Is t greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.26149851 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*x + 5*j + 25, 8589 = 5*x - 2*j + 8575 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.4 - 6.2. Let y = -53 - c. Let d = -0.7 - y. What is the closest to d in 3\/8, 0.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118 in -0.55, 1, 2?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, t: 3, c: 2}. What is prob of picking 1 c and 2 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*y**2 + 41*y**2 + 23*y**2 + (-2 - 2*y + 2)*(21 - 36 + 17 - 103*y).\nAnswer: 314*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 - (10\/(-2) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.239 - -0.149. Let a = -2 - i. Round a to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*h = 21, -3*z - 2*h + 3*h + 21 = 0. Let n(c) = c + 5. Let k be n(0). Find the first derivative of -4 + k - z*j**2 + 3 wrt j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10 + (-5130)\/150 + (14 - -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evnvvennveve. Give prob of picking 1 n and 2 e.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x**3 + 14*x**3 - 42*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/5*6\/((-21)\/((-504)\/(-64))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12566828 and 9425121?\nAnswer: 37700484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 3*u + 9 + 3*u - 5*u. Let i be f(3). Let r = -4 - -54\/13. What is the third biggest value in i, r, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 o, and 1 g when four letters picked without replacement from {x: 2, o: 5, g: 6, e: 1, k: 3}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1229, 16, -1, 3, -5, -4 in decreasing order.\nAnswer: 1229, 16, 3, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/2961*-36*(4 - (-35)\/(-8))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 3}. Give prob of picking 2 c and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -31, -59, -123, -235, -407?\n\"Answer: -2*w**3 + 10*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726) + sqrt(726) + (sqrt(726) + (sqrt(726)*-4 - sqrt(726)) - sqrt(726)))\/((sqrt(1728) - sqrt(12))\/sqrt(6) - sqrt(2)).\nAnswer: -33*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -12) + 68628\/1462?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m - 24. Let f be (-1)\/(-2) - (-5)\/m. Which is the closest to 0? (a) f (b) 2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 31 - 16)*(-3*r + 2*r + 0*r) to x*r + u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (2 + ((-12 - -5) + 3 - -1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:50 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 88, 94, 92, 76?\n\"Answer: -d**3 + 5*d**2 + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 445914 times -0.1\nAnswer: -44591.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13478 is divided by 750.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*l**3 + 6*l**2\/7.\nAnswer: -3*l**2*(77*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1456 - 2950 + 172 - 3850 - 2522)*(-12*l + 2*l - 5*l).\nAnswer: 115410*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-17)\/5)\/(10948\/460).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 11010010101111111?\nAnswer: 11010010101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c**2 + c**2 + 4*c**2)*(c - c - c) + 156*c**3 + 1080*c**2 - 1080*c**2.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -234543\/20 + 11731. Let g = 300113\/20 - 15001. Calculate the common denominator of z and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(100))\/sqrt(10))\/(sqrt(2) + 1*sqrt(6)\/sqrt(3) + sqrt(2))*-1 + 2.\nAnswer: sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131840530?\nAnswer: 2, 5, 1427, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -247484 and 4?\nAnswer: 247488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 2, l: 1, x: 1, m: 5}. What is prob of sequence lhn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 793 and 5?\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 1615261849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2 - 9\/(-18))\/(-5))\/(1\/(-190474)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-18))\/360*4*2\/(2\/(-1))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1110a?\nAnswer: -11105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6)\/((-4)\/128). What is the tens digit of 16164\/96 + 6\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.34358 + 0.01358. What is the closest to 0 in -9, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*m - 18 = 0, 3*m + 27 = 4*p - 2*m. Suppose p*h - 29 = -5. Suppose b + 2*b = 0. Solve b = n + 3*n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - 5 - 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(1331)*4 - (sqrt(1331) - (-2 + 1 + sqrt(1331)))))**2.\nAnswer: 440*sqrt(11) + 21321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3\/7, 0, -1\/257, -3 in decreasing order.\nAnswer: 0, -1\/257, -3\/7, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 + (4 - 11) - -9) + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 23. Put -2, l, 4, 3 in ascending order.\nAnswer: l, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -278*z**3 + 279*z**3 + 7 + 5*z - 7 + 6 + 9*z to r*z + v*z**3 + x + j*z**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 15 - 2 - (1 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 8*f - 2. Let t be q(-6). Let u be (-5)\/t*(-5 + -1). Does 3 divide 11 + u*(-2 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 80*z = -6*z - 355954. Does 105 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025411 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.13 + -7.43. Let d = u + -64.2. Let n = -3.05 + 0.05. Sort -21, d, n in descending order.\nAnswer: d, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3586069867 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -560401 (base 8) to base 4\nAnswer: -232010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 557*v**5\/15 + 35*v**4\/6 + 2*v**3\/3 + 2*v**2 - 44. What is the second derivative of r(y) wrt y?\nAnswer: 4456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q**2 - 80*q + 14. Give h(9).\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 138, 302, 478, 666, 866?\n\"Answer: 6*i**2 + 146*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47209 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1285 + -1282. Find w such that 0 + 3\/2*w**h - 3\/2*w**2 + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -163e69c?\nAnswer: 163e6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v + 6. Let u be c(4). Let d = 189 + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417585.7ml to litres.\nAnswer: 417.5857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Suppose -3*v - 4 = -19. Suppose 2 = 5*f - 3, 15 = 4*l - v*f. Sort 0, x, l.\nAnswer: 0, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0948736 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 9.47, -4, 44, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -37009460.81 to the nearest ten thousand.\nAnswer: -37010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/22 - (-48)\/(-12). Put h, 4, -4 in decreasing order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(3 + 28\/(-8)). Let l = m - -13. Is 17 a factor of (2\/(-6))\/(l\/1407)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wssw when four letters picked without replacement from {y: 2, s: 7, w: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3763445673 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 7*o + 105. Let k be (-16)\/(-12)*o\/(-20). Suppose -9 - 26 = -5*p. Calculate the greatest common factor of k and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -66037, -264101, -594199, -1056337, -1650521, -2376757, -3235051, -4225409?\n\"Answer: -l**3 - 66011*l**2 - 24*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - m + 88, 2*m + 21 + 1 = w. Suppose -w = -x - x. What is the remainder when 33 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-9)*5\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-3)\/(-30))\/((-1)\/2). Let d be (-5 + -3)*-1 + -4 + -2. Let z = 14\/3 + -4. Sort y, d, z, -0.1 in ascending order.\nAnswer: -0.1, y, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*((-4)\/9)\/(-4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 498*l - 500*l + 268. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97280690 < 97280687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:09 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -18. Suppose 14*p - g*p = -2880000. What is p rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -8)*(-2)\/4. Suppose 0*z - 24 = 4*z + 2*l, o*z = l - 18. Suppose u + 2*u = -2*k + 4, -3*u - 4*k + 14 = 0. Sort 3, z, u in descending order.\nAnswer: 3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.8 + -10.21. Let x = 24.59 - h. Let o = 23.99999982 - x. What is o rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 52\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-8))\/(18 + (-220)\/15 + (-89)\/24).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -159, -158, -155, -150, -143?\n\"Answer: q**2 - 2*q - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3778, -3, 9, 10 in increasing order.\nAnswer: -3, 9, 10, 3778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 562?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) -6 (b) -0.1 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-64)\/10)\/(3\/(-219)). Let t = q - 4569\/10. Let c = -3\/973 + -59341\/3892. Find the common denominator of c and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33776 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528729824?\nAnswer: 2, 7, 911, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -4. Let m be w\/(-9) - 5\/(-3). Find j such that -4\/3 - 2\/3*j**m - 2*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let u = 0.4 + 0.6. Let i be -2 - 7\/((-7)\/6). What is the second smallest value in u, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2007788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2. Let j(s) = -312*s**2 + s + 3966. What is j(p(k))?\nAnswer: -1248*k**4 - 2*k**2 + 3966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7210190571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwwwuwwwkukk. What is prob of sequence uu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1274073\/853 or -1494?\nAnswer: -1274073\/853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/11 + -625\/88. Calculate the common denominator of w and (-71)\/3 + -2 + -3 + 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 9680*v**5 + 136840*v**4 - 2217555*v**3 + 1786590*v**2 + 274725*v + 9720 = 0.\nAnswer: -24, -3\/44, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.002 - -1.002. Let r = -44 + 43.97. Which is the fourth smallest value? (a) t (b) 2 (c) r (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130.809 centuries to decades.\nAnswer: 31308.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(133))\/sqrt(7).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 44 = 4*h, 10*h + v = 15*h - 64 + 59 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (531 - 549)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a72 (base 16) in base 13?\nAnswer: 11363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwlfflrfrwwffglfqlq. Give prob of sequence wg.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16564 and 3?\nAnswer: 49692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 0*n + (0 - 3 + 5)*(3 - 3 + n) + 7*n - 6*n + 2*n)*(-n**2 + 3*n**2 - 3*n**2).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1440)\/960)\/((-27)\/(-8784)*8).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 14) in base 13?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*p - 4*d, 3*d = 2*p + 3 - 7. What is the remainder when 38 is divided by p + -2 + 14 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12 = -5*a, -n + 5 = -4*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/9)\/((-26)\/39). Suppose -u + 2*u = 0. Let f = -3 - -3. What is the nearest to f in u, v, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87469916 divided by -4?\nAnswer: 21867479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (26\/10)\/(5\/50) and 88?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 3*r**2 - r**2)*(-2 - 2 + 2 + 5 - 2 - 2 + (-1 - 1 + 1)*(1 + 1 - 4))*(2*r**3 - 2*r**2 + 2*r**2).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -152434212 (base 6) in base 12?\nAnswer: -10a8968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -644, 2, -0.15, 12, 5, 0.03, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.95, -1\/1518, -0.5, 0.4, -14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67, -103, -339, -641, -1009?\n\"Answer: -33*p**2 - 71*p + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 - 56. Suppose -3*i + 5*z = -c, 51 = 3*i - 0*i - 4*z. Let g = 157 - 53. What is the highest common divisor of i and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 3 + (90 - 91).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 23. Suppose 2*n = 0, a = 3*z - 5*n - 1 - 5. Let d(s) = s**3 - s**2 - s + 2. Calculate d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2569948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Let o = 9 - y. Suppose 166 = f - 5*p, -809 = -0*f - o*f + 4*p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*u = -60, -5*r + 2*u = 3*u - 150. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0394842253 + 142.9605105747. Let i = t - 143. Round i to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 48.99. Let x = 9.21 - d. Let j = x - 9.2000248. Round j to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 195 = -5*s. Let x = -11 - s. What is the least common multiple of 11 and x?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444855 divided by 3155.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*f - 13639 = -7*c, -3*f = 5*c - 22732. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 6, -3, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 65.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = -8*m. Let b(f) be the first derivative of 0*f**m - 2 - 1\/3*f**3 + 1\/2*f**4 + 0*f. Find the third derivative of b(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from gcgnsc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*k + 20, -2*v - k = 2*k + 13. Let p be 2 - v\/((-20)\/(-223913)). Let b = -11199 - p. Calculate the common denominator of -91\/22 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/2307 and 97\/96?\nAnswer: 73824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527*-127456.\nAnswer: 67169312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 6*f - 4*f as w + v*f and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - j**4 + (0*j**2 - j**2 + 2*j**2 + (3 + 0 - 5)*(4*j**2 - j**2 - 5*j**2))*(-195181*j**2 + 195183*j**2 + 58 - 398).\nAnswer: 9*j**4 - 1700*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 193 = g + 45*w + 16*w, g - 4*w - 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36103124*s**2 + 154428907?\nAnswer: 72206248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-4)\/(-6)*39\/(-13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 5, -5 in ascending order.\nAnswer: -5, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 106 = -2*t, -3*t - 4*u - 71 = -216. Let o = 7 - 5. Let h be t\/26 + 2\/4 - o. What is the nearest to 1 in -4, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*c - 5. Calculate the remainder when 8 is divided by c\/(-3) + 78\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 3, k: 10, c: 1, m: 2, t: 1}. Give prob of sequence tnk.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g. Let s(c) = -c + 6. Let k(t) = -t + 7. Let b(o) = -6*k(o) + 7*s(o). What is f(b(x))?\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518139?\nAnswer: 3, 57571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.3 + 0.3. Let l = -9.99993 - v. Round l to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) + (-391)\/(-1785). Let a = -2\/7 + l. What is the second smallest value in 2, a, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*t = -0*g, 35 = 3*g + 4*t. Let p(l) = l**2 - 4*l - 3. Let s be p(g). Which is smaller: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9044 - 385?\nAnswer: 8659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7285 and 73\/3.\nAnswer: 21855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6*c - 15. Let z = -3 - c. Suppose -p + 78 = -5*v, 2*p + 0*p + z*v - 96 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 + 0.44. Sort -4, -1, i, -2\/5.\nAnswer: -4, -1, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Suppose -2*v = v - d. Let o be (-4)\/(-3)*-1*3. Put o, 2, v in descending order.\nAnswer: 2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1)\/(-4))\/(-4 + 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/6 - s. Let x(c) = -3*c + 4. Let d(b) = 7*b - 9. Let t = 80 + -71. Let l(v) = t*x(v) + 4*d(v). Determine l(a(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252623 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246, 5, 12, 4, 2, 6 in increasing order.\nAnswer: -246, 2, 4, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, h: 7, l: 3}. What is prob of picking 3 h and 1 l?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 205*h**2 - 1995*h - 2205.\nAnswer: -5*(h - 21)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 172.734.\nAnswer: -86.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 30. Let q be z(0). Suppose -q = -s - 4*s. Let m(u) = -u**2 - 13*u - 8. Let w be m(-11). Solve j = 4, -w = 4*c - s*c - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let t(b) = b**2 + 6*b - 6. Let q be t(-7). Let s = i + q. Solve s*j - 8 - 7 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -2342.\nAnswer: -30\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**13*s)))\/(s\/s**(3\/4)))**28\/(s\/(s*s**(-11)*s)*s\/s**(4\/7))**5 assuming s is positive.\nAnswer: s**(2330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163\/542908 or -1?\nAnswer: -163\/542908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/6 (b) 35 (c) 13 (d) -279 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*h + 7 = -4*h, 3*s + 4*h - 5 = 0. Let k = 2.9 - -0.1. Let z = 2.6 - k. Which is the third biggest value? (a) z (b) s (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 15 = -2*y + 5*y, -4 = -4*y + 4 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-23 - (24 + (-22 - 2 - 10))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4\/9 (c) 0.084 (d) 2\/13 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354.356 nanograms in micrograms?\nAnswer: 5.354356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -123, -81, -59, -63?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1. Let n(x) = 16 - 3*x**3 - 2*x + 19 + 16 - 18 - 31. Calculate -n(t) + 2*s(t).\nAnswer: 3*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrnrrnrrnrnrr. Give prob of sequence xrr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.163 and 0.\nAnswer: -1.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5969 - 15969. Let m(h) = -23*h**2 + 3. Let z be m(-9). Let r be n\/3*z\/4. Round r to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 62*x**2 + 321*x + 39. What is f(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9120, -9117, -9100, -9057, -8976, -8845, -8652?\nAnswer: -8385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59 - 40 - 86)*(6*h + 4*h + 5*h) to the form z*h + c and give z.\nAnswer: -2775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r)\/r)**(-30)\/(r*r**(-1)*(r\/(r\/(r*r**(1\/7)*r*r)*r)*r)\/r) assuming r is positive.\nAnswer: r**(615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 334607121 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438689.\nAnswer: 193, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*z = -0*z + 26, -5*z = 4*u + 37. Let n = -11.2 + 11. Put 0.2, n, u in decreasing order.\nAnswer: 0.2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.51501*-0.3\nAnswer: -10.354503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttsz. What is prob of picking 1 s and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-14)\/(-12)) + -33 + 36. What is the highest common divisor of n and 1737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 1 - (281 + -274) - (-13 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6641500.\nAnswer: 2, 5, 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 5. Let s be b(-2). Suppose -18 = u - 5*i, 0 = -3*u - i + s + 5. Suppose -3*r = -r + u. Put -4, r, -2 in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 7:58 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134025358?\nAnswer: 2, 727, 92177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 - 7 = 5*w. Let t = 439 + -367. What is the greatest common factor of w and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3462*k - 3446*k = 10384. Solve 3*c = k - 652 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4979, -16179, -27379?\nAnswer: -38579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - 4*q - 21 = 0, 0 = -q + 1. Let v be 0 - (-6)\/(-2 - r). Suppose -2*o = -3*b + 290, -286 = -v*b - b + o. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 11. Find the common denominator of 24\/(-5) + 2\/(-8) and (-34)\/g + (1 - 3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - dc63?\nAnswer: -dc63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10032235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 + 665*l**2 - 1369*l + 46. What is p(-135)?\nAnswer: 2611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -2 - (-16 + (37 - (30 + 75)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -0.5 (b) 0.4 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 11*f - 10. Let n be w(-7). Suppose 15 = 5*a + k, -2*k = -3*a + a + n. Solve -8*y + a*y - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4016015187 to the power of 1\/2, to the nearest integer?\nAnswer: 63372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1492 * -219.6.\nAnswer: 327643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4493*-62\nAnswer: 278566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*x + 36 = 0, 0 = -51*h + 52*h - 2*x + 11. Let r(z) = -3*z**2 - 5*z - 7. Let f(d) = -d**2 + d - 1. Let l(s) = -2*f(s) + r(s). Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13967*l**4 - 2289*l**2 + 71307673?\nAnswer: 55868*l**3 - 4578*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(1\/(-5)). Let r be (-6)\/c - 2\/(-4). Find the second derivative of -p + 3*p**2 + r*p - 5 + 5 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4604a58 - 83?\nAnswer: -4605030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 505 - 108 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:27 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38, -1, 2\/5, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233.4 + 240.4. What is the second biggest value in -5, -0.4, -1, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570075 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078097504 to 6 decimal places.\nAnswer: -0.00781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432341?\nAnswer: 317, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -26*(-1)\/((-90)\/(-785)). Let f = l + -227. What is the fourth smallest value in -5, f, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 3, x: 7}. What is prob of sequence ggwx?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-313)\/(-44) - (-21)\/(-28). Is u > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162 and -1465.\nAnswer: 237330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 9*i + 8. Let m(r) = r**2. Let x(g) = 6*g**2 + 8*g + 7. Let f(q) = 5*m(q) - x(q). Calculate 7*f(d) + 6*w(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114850578 is divided by 848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10001101?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/63 - 39\/(-7). Suppose -2*w + 5 = -x - f, 2*x - 6 = -3*w. Solve -2 = -w*z + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1216.9 and 0.1.\nAnswer: -121.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1702463 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27152235 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029856207 rounded to 5 dps?\nAnswer: -0.02986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27994 - 24595. Calculate the remainder when h is divided by 65.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0 - 14*b**3 + 4 - 1 - 4. List the prime factors of v(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036577901 rounded to three decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -15. Suppose a = t - 3. Suppose -80 = 3*h - 7*h. Calculate the lowest common multiple of h and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 38*j = -3*d - 2453, -3256 = 4*d + 5*j. Is d less than or equal to -819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v**2 - 49*v + 11. What is u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:36 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (632\/(-24) + 26)*(-5)\/((-10)\/(-24)). Let d(i) be the first derivative of -18\/5*i**5 + 0*i**3 - 22*i + 0*i**o - 29 + 0*i**2. Differentiate d(l) wrt l.\nAnswer: -72*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 127*i**2. Let b(j) = 12*j. Calculate c(b(q)).\nAnswer: 18288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.71 + -0.29. Put -0.2, -1, b in descending order.\nAnswer: -0.2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 8472*y**2 + 5600*y**2 + 2869*y**2.\nAnswer: -3*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 23*c**2 - 19*c + 7. Let o(x) = 2*x**3 - 12*x**2 - 10*x + 4. Let t(z) = -4*b(z) + 7*o(z). Let t(h) = 0. What is h?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 4) to base 5\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/9, 0, 3, 0.272?\nAnswer: 0.272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -5*c**6\/3 + c**4\/4 - 3*c**2\/2 + 41. Find the second derivative of u(h) wrt h.\nAnswer: -200*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 57103.\nAnswer: -571030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:13 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175) - sqrt(175)*-3*-2) + (3 + sqrt(175))**2 + -1).\nAnswer: 15*sqrt(7) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 677066 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - d + 6*d - 34 = 0, 26*w + 58 - 139 = 5*d - 56 - 86 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:48 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2. Let x(z) be the first derivative of -694*z**2 - 825. Calculate x(r(a)).\nAnswer: 2776*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (80*w - 241*w + 118*w)*(-2 + 1 + 3) - 444*w + 1063*w + 1078*w - 361*w + 1044*w as y + h*w and give h.\nAnswer: 2294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*s - 24, 20 = -4*s + 67850*c - 67849*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/42)\/((-2)\/(-8)))\/(0 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -105.6 times 33\nAnswer: -3484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 10. Let r be j(6). Let s be 4\/14 - (-10)\/r. Let f(k) = 1. Let b(u) = -1. Let c(t) = t - 9. Let l(m) = 5*b(m) - c(m). Determine s*l(i) - 5*f(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((-6)\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v - 448 = 101. Solve 2*d - 2*i + v - 21 = 0, -3*d - i + 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i = 66*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -43*i**3 + i**2 - 5*i + 6. Let h(x) = 88*x**3 - 2*x**2 + 9*x - 11. What is -6*h(m) - 11*k(m)?\nAnswer: -55*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/12)\/(3\/6). Solve 0 = 2*v - d - 5, -10 = -2*v + y*d + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 791979344 - 791979344 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40334.\nAnswer: 2, 7, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5886 and -37107993?\nAnswer: 37102107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 5) to base 11.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let x = 16.6 - 17. Suppose 4 = -4*p - 4*h, -4*p + 3 = -5*h - 2. Which is the closest to 5? (a) p (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 + 102*v + 533. Determine o(-6).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.217 - 140.783. Let z = b + 141.0000031. Round z to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4591 + 18186.65.\nAnswer: 22777.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:50 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 13*o - 1. Let i = 106 + -66. Suppose 2*y = -5*b + i, 4*y + b + 6 - 50 = 0. Calculate the remainder when j(y) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 1, y: 1, a: 16}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 greater than 320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Is 5 a factor of (15\/(-9))\/(n\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*2*-5)\/(sqrt(1400)\/sqrt(7))*1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = g - 7*s, 4*g + 642*s = 639*s + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 291, 474, 659, 846, 1035, 1226?\n\"Answer: i**2 + 180*i + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 596*l**3 + 15 - 3308*l**3 - 752*l**3.\nAnswer: -4656*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 0*k - 10*k - 158 - 11*k.\nAnswer: -27*k - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4400 and 7480?\nAnswer: 74800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 + 173*h + 38. Determine j(-25).\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 471202*h + 12720996.\nAnswer: 2*(h - 235574)*(h - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(1\/3)*v)\/v)**(-4\/7))**(15\/7)\/((v**(-2\/5))**(12\/11)*v**0\/(v\/(v\/v**(3\/5)))) assuming v is positive.\nAnswer: v**(-701\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 536?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -335*z**2. Let m(g) = -3*g + 1. Let c(a) = -2*a**2 + 21*a - 7. Let k(l) = -2*c(l) - 14*m(l). Determine k(s(f)).\nAnswer: 448900*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.99164 + 0.00836. Let g = 0.23 + -2.53. Let q = i + g. Round q to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20790006, -83160032, -187110074, -332640132, -519750206, -748440296, -1018710402?\nAnswer: -1330560524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*25*(-8)\/(-5). Let y = -14 - r. Let h(w) = w**2 + w - 9. What is the units digit of h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -588*m - 83. Let a be 10*(-10)\/25*2. Is j(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.168 and 0.161.\nAnswer: 0.671048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1168.825 - -1.825. Let f = r - -1066.6. Let o = -100 - f. Sort o, 3, -0.3, -3.\nAnswer: -3, -0.3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -663 - -502. Let g = b - -231. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(-35)*-4*-2965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -59940?\nAnswer: -59968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9928.82888 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 929 - 909. Suppose -15 = q - g, 4*b - 82 = -2*q. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 23 - 15)*(-15*b + 3 - 3).\nAnswer: 900*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 3, m: 11}. Give prob of picking 2 m.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 17*s**6\/6 - 18*s**5\/5 - 17*s**4\/2 + 12*s**3 + 17*s**2\/2 - 18*s + 906. Find i such that t(i) = 0.\nAnswer: -1, 1, 18\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*h + 4, -2*k + 3*h + 2*h = -5. Suppose -5*i = 2*d - 76, k = -3*d - 0*d - 3*i + 96. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38021412 by 12.\nAnswer: 3168451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 83*x**2 - 568*x - 8166. What is m(-77)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q + 1. Let w(v) = v**2 - 4*v - 16. Let f(t) = -2*h(t) - w(t). Let o(n) = n**2 - n - 7. Let z(x) = 2*f(x) + 5*o(x). Give z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1159*x - 264. Let k(i) = -232*i + 53. Let c(y) = -11*k(y) - 2*s(y). Is c(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 4*q**4 + 4*q**4 - 8*q**5 + (-q + 4*q - 2*q)*(-3*q**4 + 2*q**4 + 0*q**4).\nAnswer: -9*q**5 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -1 - 6*a + 7\/3*a**3 - 2*a**2. Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**8\/896 + g**7\/80 + 5*g**6\/64 - 67*g**5\/160 + 9*g**4\/16 - 13*g**2 - 3. Determine x so that c(x) = 0.\nAnswer: -4, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 43. Calculate the lowest common multiple of v(13) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + 229. Let t be 2*1*(-552)\/(-16). Suppose 4*m = 5*r + u, -r - t = -m + 3*r. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z - 20 = 0. What is the common denominator of z\/2 - 594\/(-48) and -4\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3 + 3)*(0*z + 14 + 16*z - 14*z).\nAnswer: 6*z**2 + 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 13*v - 44. Let q be -3 + 72\/28*35\/10. Determine d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 43912?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(245) - (-3 + ((1*sqrt(245) - sqrt(245)) + sqrt(245))**2)) + 5.\nAnswer: -237 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:50 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - l = -142, -82 = -2*h + 3*l + 2*l. Let i = h + 15. Is (i\/(-3))\/((-1)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4510)\/123*30\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-6 + sqrt(405) + sqrt(45))*5)**2.\nAnswer: 220500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -110 - -a76c?\nAnswer: a65c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -253, -413, -637, -925, -1277?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231721182 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*s - 20, -a + 21*s - 5*s - 68 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + 2*g**2 + (-7*g - 9*g + 0*g)*(5*g - 4*g + g)*(2 - 4 + 4).\nAnswer: -62*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*f + 39. Let a be (-684)\/(-42) + -6 + 4\/f. Suppose -2*b - a*i + 60 = -13*i, -4*b + 2*i + 120 = 0. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2. Suppose 0 = 7*u - 64 - 2155. Suppose -12 = -313*i + u*i. What is m(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 * 0.5\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 55 = 69. Let z = 140 + h. Suppose 0 = -t - 0*t + 19. Calculate the greatest common divisor of t and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 27*j**2 + 3*j + 2. Suppose -2*t - 1 = s, -2*s + 5*s = -5*t - 1. Is k(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = 0. Suppose l + 3 = m. Suppose -g - 3*g - 2*y = -18, g = -3*y + 12. Solve -g*a + m = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2371532547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11749 (base 12) in base 15?\nAnswer: 6e89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/19))\/((v*v**(2\/5))\/v))**(48\/7)*(v**(5\/4)\/(v\/(v*v**(-5))))\/(v*v\/((v*v\/v**(-5))\/v)*v*v*v**(1\/5)) assuming v is positive.\nAnswer: v**(3837\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*3 + sqrt(1715))\/(sqrt(495)\/sqrt(11)) + ((sqrt(70) - -1*sqrt(70)*-5) + sqrt(70))\/(sqrt(40)\/sqrt(4)*5).\nAnswer: 131*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {d: 1, m: 2, i: 1, a: 1, z: 1, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947.3593 kilometers to millimeters.\nAnswer: 947359300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**4 - 54*t**3\/5 - 168*t**2\/5 - 86*t\/5 - 12\/5 = 0. Calculate t.\nAnswer: -1, -2\/5, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 - 2*c - 2. Let y be j(3). Let u = y + -27. Let d = 12 + 23. Calculate the remainder when d is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-5 - 6) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13401233020 (base 5) to base 9\nAnswer: 35342828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 82*x + 4 - 75*x - 5*x. Let q(t) be the first derivative of -2 - 9*t - 3 - 2*t**2 + 3. Give 5*k(i) + 2*q(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/45 - 2\/((15 - 4) + 69 + 10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -640 (base 10) to base 9\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 9. Suppose -3*j = -12, -3*j + 52 = 3*b + 2*b. Let x be c(b). Let w = x + -32. Calculate the remainder when 204 is divided by w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94, -84, -72, -58, -42?\n\"Answer: s**2 + 7*s - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/(2\/10). Let f be (-38)\/14 - 198\/693. Which is greater: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.048 + -1.048. Is -0.01 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1354 - 1355. Let g = 1 + -1.7. Let w = -1 - g. Which is the third smallest value? (a) w (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 12:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13127, -26280, -39433, -52586, -65739, -78892?\n\"Answer: -13153*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -890 + 2290 - 756 + 73*l - 794 wrt l?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + (16\/2 - 4). Let t be (-10)\/(-25) + c\/(-5). Sort 6, t, -5 in descending order.\nAnswer: 6, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-491203)\/52095 - -9*1 - (-2)\/(-5)*-1?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010309709 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.3. Let t = -0.7 - -1.7. Let p(x) = -11*x + 358. Let s be p(33). What is the biggest value in s, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*v - 64680 = 228*v. List the prime factors of v.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*j - 60, 0 = -5*j + 3*m - 6 + 66. Calculate the remainder when 56*10\/(-40) + 71 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 9*d**2 + 12*d - 10. Let a be x(10). Suppose 5*c - 556902 = -84982. Is c\/40 - 6\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 55*w + 237. List the prime factors of y(39).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t - 18. Let z be ((-80)\/(-15) - 6) + (-3)\/9. Let v = t - z. Which is the second smallest value? (a) 5 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*u**2 - 222*u - 208804 wrt u.\nAnswer: 262*u - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453 and 158199.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (5 - (-3 - (4 + -12))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from jcdrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*n + 183 = 1689, 752 = -g - 3*n. Round g to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39321 by -3.\nAnswer: 13107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -216809136, -433618268, -650427400, -867236532, -1084045664?\n\"Answer: -216809132*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*l + 17 = 0, 6*q - 3*l = q + 25. Suppose 4*y - 1519 = q*i - 5*i, -2*i = -2. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3814*y. Let k(c) = -1144*c**2. Determine t(k(j)).\nAnswer: -4363216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3426501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -66) + (-8 - (-3 - 0)) + -2\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*v**4 + 585*v**2 - 21130*v wrt v.\nAnswer: 192*v**2 + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 - 1.15. Let o be 1\/2*(2 + -8). Let j = 263 - 262.8. Which is the nearest to n? (a) j (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 5, a: 3, n: 2}. What is prob of sequence nn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from mmmt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 2. Let n be s(1). Suppose n*j - 445 - 80 = 0. What is the highest common divisor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -372 + 366. Suppose 0*v - 28 = -4*z + 4*v, -18 = -l*z - 2*v. Solve 4 = 7*m - z*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 4*q + 4. Let v(c) be the third derivative of 2*c**2 + 7\/6*c**3 + 0*c + 7\/24*c**4 + 0 - 1\/12*c**5. Determine 7*k(d) - 4*v(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18467059271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**4 + 37*b**3 + 29*b**2 + 9*b. Let x(f) = -7*f**4 - 55*f**3 - 44*f**2 - 14*f. Let t(c) = 8*i(c) + 5*x(c). Find the third derivative of t(j) wrt j.\nAnswer: -72*j + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 17*x**5\/30 + 5*x**4\/24 - 7*x**3\/3 - 2*x**2 + 9. List the prime factors of d(3).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 108. Suppose -a = 4*s - 99. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.48553646 to two decimal places.\nAnswer: -20.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121949, -121571, -121179, -120767, -120329, -119859, -119351?\n\"Answer: b**3 + b**2 + 368*b - 122319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + -4.89. Let c = s + 3. Let o = 7.1781 - 2.1781. What is the smallest value in c, 4, o, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0\/(-1) - 50. Let o = y + 29. Let h = o + 60. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423 (base 7) to base 8.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -355703*h**2 + 158*h + 1. Let b(f) = -2*f. Determine t(b(l)).\nAnswer: -1422812*l**2 - 316*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5340 to the nearest one hundred.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 200 = -4*u - f, 0 = -5*u + 2*f - 250. Let s = u + 52. Determine n, given that -30*n + 31*n**s - 4*n**2 - 2*n**2 - 5*n**3 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m*q*z**3 - 297*m*q + 10*m*z**2 + 2*m*z - m - q*z - 1 wrt z.\nAnswer: -6*m*q*z**2 + 20*m*z + 2*m - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(96)*5)\/(sqrt(108)*-1 - -6*sqrt(24)\/sqrt(2)))**2*-2.\nAnswer: -6400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 113.08*0.08\nAnswer: 9.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/20 + 1759*r**4\/4 - 3094081*r**3\/2 + 2119*r**2 + 2*r. Factor h(d).\nAnswer: -3*(d - 1759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 78415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -741*b + 431*b + 665*b - 2*b + b + 2*b + (4 + 2 - 4)*(-b + 2*b + 0*b) - b + 3*b - 3*b.\nAnswer: 357*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -69*l - 856. Calculate c(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6687239 by -4.\nAnswer: 6687239\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 19*a + 2. Let j be p(19). Factor -2\/7 - 32\/7*g**j + 16\/7*g.\nAnswer: -2*(4*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 7. What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41775, 41800, 41825, 41850, 41875?\n\"Answer: 25*z + 41750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 + -552. Let u = g + 336. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30524 is divided by 7621.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-10)*(-1)\/21*-35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*n = 0, 51 = c + n + 44 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g - 16 = 0. Let l(m) = -m**3 + 5*m**2 + 5*m + 5. Let h be l(6). Let y be h\/2*(-12 + 4). Solve -y*j + 4*k = -16, -3*k + 21 = g*j - 2*k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 3*t + 3. Let y be q(4). Let s be (-4 - 2)*y\/4. What is the closest to -1\/2 in s, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4610, 9246, 13894, 18554?\n\"Answer: 6*h**2 + 4618*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 + 15*i**2 + 9*i - 4*i + 6 - 15*i**2. Let w be p(-4). What is the tens digit of w\/(-9) - ((-9275)\/(-45))\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46712 is divided by 218.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/6 + -6457*(-17)\/51 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 5*j**2 + 2*j - 2. Let m be l(-3). Suppose -2*f = 3*f - m. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/5 + 4 + 32\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -2\/3 (c) -7 (d) -0.1 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1280) - sqrt(20))*1)\/((sqrt(80)\/sqrt(2))\/sqrt(10)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3\/15 + 14*j**2\/15 - 8*j\/15 = 0.\nAnswer: -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5493)\/3662*(41\/4)\/(12\/(-32))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21426*h**4 - 1486 with respect to h.\nAnswer: -85704*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69402868.\nAnswer: 2, 23, 754379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 4. Let g be y(5). Suppose 4*l - 5*v = 2*l + 30, 5*l + v - g = 0. Suppose -3*h = -14 + l. Solve 3*s - h = 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a - 71 = 98*a + 34 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201222012021201112 + -11?\nAnswer: -1201222012021201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106929580 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13820, -13228, -12228, -10820?\nAnswer: -9004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from bkbxxbxpsxxxe?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/3 + 10*p**4 - 34*p**3\/3 - 88*p**2\/3 + 51*p - 62\/3 = 0. What is p?\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 93.7154t?\nAnswer: 93715.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5778.5 - 5779. Which is the fourth biggest value? (a) 0 (b) r (c) -1\/22 (d) -3 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 22*v + 1. Let t(q) = 5*q**2 - 88*q + 4. Let g(o) = 4*h(o) - t(o). Let x(b) = 516*b. Calculate g(x(k)).\nAnswer: -266256*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22016*j**2 + 3*j**3 + 7*j**3 - 10965*j**2 - 11051*j**2.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564413 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:37 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 2*f**2 + 10*f - 3*f**2 + 4 - 4*f. Suppose 3*k + 5*p + 12 = -1, 3*k + 3*p + 15 = 0. What is the units digit of j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3126 times 469026\nAnswer: 1466175276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 28545 = 30435 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/992 and 39\/496.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -39*t - 90. Suppose 4*s - x - 153 = 0, 2*s + 3*x = 3*s - 41. Suppose -4*n = -s - t. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.326 - -0.589. Round t to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 - 2*s + 2. Let x(n) = -n**2 + n - 1. What is -5*c(k) - 10*x(k)?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74532 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 32 = -10*p. Solve -p*a = a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + 8. Let d(g) = -2*g + 4. Let l = 8 - 1. Let c(q) = l*d(q) - 3*p(q). Find the first derivative of c(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*d, 0 = 4*h + h - 5*d - 35. Suppose 4 = -s - 5*t + 17, 3*t - 15 = -3*s. Find the third derivative of -6*o**s - o**2 + 9*o**2 - 13*o**h wrt o.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87282 = -57030*t + 59268*t for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -16*d. Let o(z) = 15*z**2 + 1. What is o(h(r))?\nAnswer: 3840*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**5 + q**4 + q**3 + q - 1. Let p(h) = -7*h**5 + 31*h**4 - 6*h**3 - 4*h + 5. Let y(o) = -p(o) - 6*u(o). What is the second derivative of y(z) wrt z?\nAnswer: 20*z**3 - 444*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423 + 1?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 - 3*u + 175. Calculate the lowest common multiple of l(0) and 210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -147540, -293709, -439878?\n\"Answer: -146169*x - 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 89*j + 1103. Let n be r(-12). Calculate the highest common divisor of n and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 20306. Let s = a - -32847. What is s rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Suppose 72 - 2 = a*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1420\/(-60) - -24)\/(1\/(-3)). Let r(k) = k**3 - 4*k**2 - 5*k + 2. Let y be r(5). Put h, y, -11 in decreasing order.\nAnswer: y, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0*t**2 + 0 - 13*t + 0*t**3 + 1\/3*t**4. Let a(k) be the second derivative of k**3\/3 - k. What is l(a(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a - 40 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 63314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.32, -9?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 474589, 950414, 1426239, 1902064, 2377889, 2853714?\n\"Answer: 475825*z - 1236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3712449 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 952264 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 43. Let p(j) = -j**2 + 11*j - 19. Let g be (11\/2 + -2)*2. What is the remainder when b is divided by p(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - q = -1, 2*k - q + 0 = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lht when three letters picked without replacement from clhtctu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10\/11)*b*b*b**(10\/17))\/(b\/(b*b**(-24))*b*b*b**(-3)*b*b) assuming b is positive.\nAnswer: b**(-4361\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/152)\/(642\/428))\/((-3)\/(-4)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2372*c + 147 = 2351*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1725 - 1722. Put t, 2, 127 in increasing order.\nAnswer: 2, t, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 139 = 137 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*v = 3*v - 120, -30 = -2*l - 4*v. Let u = 28 - l. Find the third derivative of u*w - 7*w - 8*w**6 + 4*w**2 wrt w.\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaaaaaqaqqqaaaaaaaa. What is prob of picking 4 q?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1 - 2 - 5*g**3 - 6*g + 3*g. Let y = -49 + 46. Let x(q) = q**3 + q. What is y*x(s) - k(s)?\nAnswer: 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2880*n + 174*n**2 - 165*n**2 - 700*n**2 - 449*n**2 + 2387*n wrt n?\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 16) in base 2?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 7*c**5\/5 + 2*c**2 + 13. Find the second derivative of r(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 9*d - 36*d + 66 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -19*v - 42147. What are the prime factors of v?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -10*t + 65, 44*l - 127*l + 42*l = -38*l - t - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-1*2 - (-1*sqrt(270)*-5 - sqrt(270)))\/((sqrt(300)\/sqrt(54))\/(sqrt(45)*-2)).\nAnswer: 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 675733482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - s - 24 = 0, -3*s + 16 = q - 6*s. Solve 10 = q*j + 3*x, 2*x + 1 = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 28*k + 13. What is q(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8303 and 2.\nAnswer: -16606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let l be (-4)\/(-3)*12\/(-8). Let b(y) = -10*y - 11. Let s(a) = 21*a + 24. Let j(z) = -13*b(z) - 6*s(z). Let f(o) = l*j(o) + 9*q(o). Determine f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(65\/15) + 1359\/459.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 21 = -13*y - 52 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*p + 33*p + 28*p**4)*(-4*p - p + 4*p + (4 - 4 + 5)*(-5*p + 2*p + 2*p)).\nAnswer: -168*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 12288?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*j + 831*j**2 + 431*j - 836*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -12, -73, -176, -327?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, w: 2, n: 1, o: 2, m: 1, p: 2}. Give prob of picking 1 m and 1 w.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.68 - -4.3. Let n = 0.28 + o. What is the nearest to n in -0.3, -4, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094829951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:47 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 421 or 2101\/5?\nAnswer: 2101\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1444 + 2439. Suppose 0 = -8*h - 155 + x. What is the remainder when h is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/17917595 or 1?\nAnswer: 3\/17917595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100106487.\nAnswer: 3, 13, 439, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82537686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -34*g + 3748. Determine o(110).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37326 is divided by 18660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8602 and 57970?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + y)*(y**2 - y**2 - y**2) + y**2 - y**3 - y**2 + (3 - 3 - 2*y)*(2*y**2 + y - y) + 0*y**3 - 3*y**3 + y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.817208 months?\nAnswer: 0.401434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3857, -45, -2, 1, 2, -1 in descending order.\nAnswer: 2, 1, -1, -2, -45, -3857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 264*v - 2765. Let i be k(-11). Solve -3*x - 2*u - 1 = 0, 7*x + 3*u + i = 8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3*o + 0*o)*(13 + 11 - 5) + 0 - 3 + 1 - o to g*o + p and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6 - -1) + 5 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.132 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 6921976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/(-256) + 19039978\/16 + 1. Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294091111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 246\/8*(-7)\/(-63)*-2 and (196\/20)\/((-216)\/30).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + (-190131)\/6. Suppose 4*x + 5*f + 82752 = 9*f, -4*x - 82758 = 2*f. Let k = x - w. What is k rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 7*z + 1. Let b be j(3). Let r(a) = a + 5. Let c be r(b). What is the smallest value in -5, c, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 5*s - 220 - 93 in the form j*s + v and give v.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2021905, 8087617, 18197141, 32350477, 50547625, 72788585?\nAnswer: 99073357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 + 5*p**2 + p + 1225. Determine m(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - ((-395)\/(-158) + (-219711)\/6)?\nAnswer: 11, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12910.999984799 - -12911. Round v to 7 dps.\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 17*t**2 + 47*t + 524. Does 13 divide z(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3170 is divided by 1050?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 2. Let p(r) = 22*r + 120. Determine -12*o(x) - p(x).\nAnswer: 2*x - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0*b)\/b)**(-31)\/(b\/(b\/b**0))**(2\/5) assuming b is positive.\nAnswer: b**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.049 + 27.049. Let l = d - 30. Let h be -3 - (-14)\/10 - -2. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - -1 - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 3*a**2 - 4*a + 3. Let z be f(-4). Suppose z*n + 8 = -n. Let x(u) = -6*u - 2. Determine x(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*g - 8397*g - 31932*g + 774*g.\nAnswer: -40037*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4093\/1092 - -1\/546. Let b(p) = -13*p + 198. Let z be b(15). Factor -z*m**2 + f*m - 3\/4.\nAnswer: -3*(m - 1)*(4*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 0.06, 1\/3 in increasing order.\nAnswer: -1\/5, 0.06, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3977*c - 2043*c = 2035*c + 8686 for c.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 15. Let h = -30 + c. Let q = -12 - h. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100010 + -1001100101100?\nAnswer: -1000111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 11*j - 438. Let x(k) = 2*k**2 - 6*k + 5. Let w be x(6). Suppose -4*g = w - 113. Calculate the greatest common divisor of j and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 12) to base 2.\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + 7*l**5\/60 - l**4\/24 - l**3 - 91*l**2. What is p(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**4 + 3*o**2 - 3. Let s(h) = 9*h**4 - 5*h**2 + h + 5. Let u(x) = -10*p(x) - 6*s(x). What is the second derivative of u(n) wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v + 39. Let l be w(-9). Let k = l + -98. Solve 0 = -2*b + 2*s + 2, 2*b + 2*b + k = -4*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let x(a) = 20. Let b(u) = -3*k(u) + x(u). What is the units digit of b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -204, -256, -348, -480, -652, -864, -1116?\n\"Answer: -20*f**2 + 8*f - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3*p + 0*p - 9.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55279616, -55279605, -55279594?\n\"Answer: 11*b - 55279627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**2\/i*i)**11\/(i**(-7\/4)\/((i*i**(5\/3)*i)\/i)) assuming i is positive.\nAnswer: i**(449\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*y, 2 = 3*i - i + 3*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 - 2737*f - 5442. What is p(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-56) - (1 + 173\/4). Let v = d - -381. Is 43 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2 - 5*d**3 + 21*d**3 + 1 to the form b*d**2 + f*d + v*d**3 + p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*h - 61933 = -2631*h + 69137 + 70108 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d**2 + 2*d**2 + 4*d**2)*(72*d**2 + 112*d**2 - 66*d**2) - 7*d**4 + 5*d**4 - 5*d**4 in the form r*d**4 + a*d + l + c*d**2 + p*d**3 and give r.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-1 + 40 + -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568684 = -42*a + 1566500 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 3. Let c(j) = 5*j + 7. Suppose 0 = 18*h + 10 + 98. Let q(g) = g + 1. Let a(z) = h*q(z) + c(z). Determine -5*a(x) - m(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 - r + 7. Calculate n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, p: 2}. Give prob of picking 3 k and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -279181000 rounded to the nearest 100000?\nAnswer: -279200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -4, -43, -5, -2, -3 in decreasing order.\nAnswer: 67, -2, -3, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926258, 926281, 926320, 926375?\nAnswer: 926446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/15 + 2*j**4\/9 + 2*j**3\/9 - 5*j. What is f in v(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 2 - -4) + -4. Let x = d - -3. Suppose 106 = -5*l + s + 316, l - 2*s - 33 = x. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154.145 + -195.1526. Let q = u + 41. What is q rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.0355809 to 2 dps.\nAnswer: 52.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18407*f**2 - 3 + 65*f**3 - 18407*f**2.\nAnswer: 65*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*(-800)\/(-120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7 - 7 = 0. What is the first derivative of -4*w**2 - 2*w**3 + 18 + i*w**2 + 4*w**2 wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (19\/(-5) - (-6)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*x + 3701 = -1525 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 3488, 7857, 13984, 21875, 31536, 42973?\nAnswer: 56192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 11, -1 in ascending order.\nAnswer: -3, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -159*x + 6. Let l(y) = 479*y - 20. Determine 7*k(m) + 2*l(m).\nAnswer: -155*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440035 divided by 3.\nAnswer: 440035\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 482995 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-26)\/j**(-2\/39) assuming j is positive.\nAnswer: j**(-1012\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 5, t: 5}. What is prob of sequence tr?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -4, 1, -52 in ascending order.\nAnswer: -52, -4, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 3*k + 0*k + 0*k - 2*k + (3*k - k - 4*k)*(-1 + 1 + 2) + 3*k - 7*k + k - 3*k - 2*k + k)*(-9 - 3 + 10).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35808.251751 - 35802.76. Let j = w - -0.807919. Let h = j + -6.3. What is h rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 5*q - 37, -2*k + 105*q + 109*q = 215*q + 34 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*j - 3*j. What are the prime factors of 34\/3 + 4\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 38*b - 32. Let z(c) = -19*c + 16. Let j(n) = 4*h(n) + 9*z(n). Does 8 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166788.9 - 166789. Let q = -1.3 - -2. Which is the closest to q? (a) 0.2 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.5351974413 + 1.567.\nAnswer: -47.9681974413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 3*r + 0 - 5*r - 2 + 1 - r**2. Let m(o) = 3*o**2 + 4*o + 4. Let y(z) = 4*g(z) + m(z). Let t(a) = 38*a**2. Calculate t(y(v)).\nAnswer: 38*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 549*b - 24558. Give a(45).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -32*i - 136. Give y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5355\/204 + -28 + (-198)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - o**2 + o**2)*(o + 3*o - 5*o) + (-3*o**2 + 11*o**2 + 3*o**2)*(-14*o - 13*o + 11*o) to j*o**3 + d + b*o + r*o**2 and give j.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1274 + -1273. Let w(u) = -7*u**2 - u. Calculate w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + -3*(4*sqrt(931) - sqrt(931))*-5))**2.\nAnswer: -68040*sqrt(19) + 67870224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from aaattttaattytaaaya?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -291100 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 24. Suppose -b = -0*b. Solve b = s*h - 12 - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54)\/(-8))\/((-24)\/(-1984)). Suppose 0*w = 3*w - i - s, -197 = -w + 4*i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -22. Which is smaller: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1734.3 and 861.\nAnswer: -1493232.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 12 = -i, -26453*d = -5*i - 26449*d + 50 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 6*t + 26*t - 12*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 311310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*30\/(-2)*(-18)\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**5\/60 + 3*x**4\/8 - x**3\/6 - 13*x**2\/2 + 15. Let h(i) be the second derivative of g(i). What is h(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -74. Let a(f) be the second derivative of f - 3*f**2 + 1\/6*f**g + 0. What is the derivative of a(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 338304*p\/7 - 13808.\nAnswer: -4*(p + 12082)*(7*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {u: 1, i: 1, h: 2, z: 9, y: 3, x: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.127761 to four dps.\nAnswer: -0.1278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 5\/3 (c) -0.07 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/54*3*208\/(-132). Let i = 2\/297 + y. Factor -2\/11*g**3 + i*g + 0 + 0*g**2.\nAnswer: -2*g*(g - 1)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212878 and 1630.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-24)\/(-72) + (-10)\/(-6) and (16\/20)\/(2\/25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.4, -0.2, -3\/7, 166?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Suppose -3*n - 3 - 177 = 0. Calculate the common denominator of 149\/6 and (x\/3)\/(n\/369).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1 + (-60)\/(-12). Let h = 15 - 10. Factor -h*y - 10*y**2 - 2*y**3 + 5*y + 5*y**4 - c*y**3.\nAnswer: 5*y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4868*s - 38941. Give a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/24*y**6 + 0*y**3 + 0*y + 0 - 1\/4*y**4 - 2*y**2 + 0*y**5. Find the second derivative of z(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16513699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/45 - 0) + (-62)\/279.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (1 + sqrt(1008))**2) + sqrt(7) + 0.\nAnswer: -1009 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8798925 - -1.\nAnswer: 8798926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 0*d - 5*d**3 + 0*d**2 - 1\/3*d**4 - 11 + 1\/120*d**5. Let k(g) be the third derivative of m(g). Give k(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 600, 904, 1212, 1524, 1840, 2160?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174914 by -74.\nAnswer: -87457\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2566504 (base 7) in base 16?\nAnswer: -520ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k - 3660 = -62*k - 21*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 758025 divided by 5\nAnswer: 151605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Suppose -g - 15 = -5*w - 0*g, 4*w + 2*g + v = 0. Let n(d) = d**2 - 1. Let c(a) = a**2 - a - 1. Let z(q) = -c(q) + 2*n(q). Determine z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 617.\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/(-54)*244\/(-3965).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43054895 and 4082.\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/180 - i**4\/12 + i**3\/3 + 4*i**2. Let o(p) be the first derivative of s(p). Find the first derivative of o(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -11326?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35943 + 18 + 10 + -14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 12. Let p be m(12). Factor 1\/4*w**3 + 0*w**2 + 0 + p*w.\nAnswer: w**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(117))**2 + (4*sqrt(117)*2)**2 + (-1*(0 + sqrt(637)))**2 + -1.\nAnswer: 24*sqrt(13) + 8257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 17 - (-44 - -31).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 24117?\nAnswer: 48234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g + 5*g**4 - 91 + 91 + 19*g wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 take away -217617766.2?\nAnswer: 217618101.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-20)*5\/2. Suppose 4*i - 5*i = -t*q + 6, -38 = 3*i - 5*q. Is i equal to -41\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86728783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 9*k + 128352. Let x = k + -11255. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-6) + 163\/(-110). Let b = s - 113\/165. Put b, -3, -0.04 in decreasing order.\nAnswer: -0.04, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21896, -22007, -22190, -22445, -22772, -23171, -23642?\n\"Answer: -36*q**2 - 3*q - 21857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 14. Let z = 6.24 + x. Round z to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 246*i**2 + 5*i**3 - 2*i - 2*i**3 + 197*i**2 + 6*i to f + u*i**2 + l*i + r*i**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.87056, 20, -3\/2 in decreasing order.\nAnswer: 20, -3\/2, -5.87056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(54\/8) - (-2)\/3. Suppose -1 = v*w + 3. Let l = 1646\/9 + -183. Which is the third smallest value? (a) w (b) 0.4 (c) l (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-9 - -16)\/7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -2\/5, -4, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -37. What is the units digit of j\/(2*(-1)\/19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p**12))\/p))**(1\/52)*p**14\/(p\/(p\/p**12)) assuming p is positive.\nAnswer: p**(59\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -831 - -828. Let j(q) = -5*q - 8. Let a be j(-2). Put 4, 0, n, a in ascending order.\nAnswer: n, 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 8*j + 14. Let d be r(3). Suppose -2*i + 6 + 62 = 0. List the prime factors of d\/i*(-1 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose -c - p*c = -42. Calculate the remainder when 27 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -2*o**5\/15 - 2*o**4 - 94*o**3\/9 - 24*o**2 - 24*o - 144. Suppose v(r) = 0. What is r?\nAnswer: -6, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/((0 + -1)*-1). What is the remainder when 55 is divided by (-128)\/(-9) - o\/(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 + (29 - -16) + 83\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 10. Let a = 223 + -286. Let k be (-1 + 1 + -4)*a\/(-28). Give h(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**1*(g**(-1\/4))**(-45)*(g**(-1\/4)*g)**49*(g*g**(-1\/4)*g)\/g**3 assuming g is positive.\nAnswer: g**(183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2005276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3809255, 3809340, 3809425, 3809510?\nAnswer: 3809595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggnggggg. What is prob of picking 3 g and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/13 (c) -110 (d) 460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4915*h - 4901*h - 1 - 4*h**2 + 9803*h)*(-5 + 3 + 1).\nAnswer: 4*h**2 + 13*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 - 44 - 93)*(-2*n + 3 - 3) + 2*n + 3*n - 3*n in the form i*n + u and give i.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5184 divided by 8.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)*(3 - -5). Let q be (-299)\/(-52) + 6\/r. Let o(m) = 7*m**3 - 6*m**2 - 6. Let y(a) = -7*a**3 + 5 + 5*a**2 + 2*a**3 - a**3. Give q*o(f) + 6*y(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7316*z**6 + z**2 - 51*z - 3 wrt z?\nAnswer: 877920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 0*b + 5*b + (-4 + 1 + 4)*(5*b + 10*b - 14*b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 7. Suppose 16*s - 2497 = -2545. Is s at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/516078 and -131\/318.\nAnswer: 27352134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/11*(-264)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 6542 and 6542 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x - 14. Determine n(-5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -24 - (11 - 2) - -19 - 118?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 443*b**2 - 3*b - 1. Let q be d(-1). Suppose n + 2*r = 225, r = n + n - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**3*v**3 + 2*u**3*v - 2*u**2*v**2 + 7*u*v**3*w - 3*w wrt v?\nAnswer: -18*u**3 + 42*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -5*q, -q + 4*q + 4*p = -14. Let k be q\/5*(8 + -3). Determine s, given that 3*s + 16 + 5*s + 113*s**k - 112*s**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/5)*f*f*(f*f*f**(-1\/2))\/f*f)**48)**(4\/33) assuming f is positive.\nAnswer: f**(1504\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let c = 880 - 882. What is the third biggest value in u, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/5 + 18242931*s\/5 + 18242928\/5 = 0. What is s?\nAnswer: -6080976, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 3*y**2 - 7*y + 19. What is h(6)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - n - 2 = 0, -100*p + 3*n = -102*p - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93625244 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -55*g**3 - 95\/2*g**2 - 55 - 4*g**5 - 15*g - 105\/4*g**4. Suppose p(y) = 0. What is y?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*d - 69, -3*k - 4*d + 0 + 13 = 0. What is the remainder when (-1)\/2*(-3 - 37) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 4 - 590*b**4 + 4*b**3 + 300*b**4 + 292*b**4 in the form v*b**2 + w*b**3 + c*b + i + f*b**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -324, -705, -1232, -1905, -2724?\n\"Answer: -73*m**2 - 16*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvy when three letters picked without replacement from vvyvyvy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 14*v = -90. What is the remainder when 134 is divided by v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5760 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let x(m) = -17*m + 93. Let v be x(6). Which is the fourth biggest value? (a) v (b) 1\/3 (c) t (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 3 - 0 - -21 - 1) + -31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 - ((-4 - 3) + 3)) - 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 27*c**2 + 25*c + 27. Let l be u(26). Let o be 108\/(-216) - (-2 + l\/(-2)). Solve -4*d + d = o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37485401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 28?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.044, 2, 0.1, 0.73, -565?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b - 15. Let y(j) = -j**3 - 6*j**2 - 5*j + 4. Let n be y(b). Suppose 90 = -n*u + 7*u. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 less than -145?\nAnswer: -144.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 657404749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/40 + 7\/10. Let q(k) = -2*k**3 - 20*k**2 - k - 2. Let m be q(-10). Suppose 12*u = 8*u + m. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from vvuuvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -37, -55, -73, -91?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -454 + 448. Suppose 4*g + 0*g - 32 = 0. Suppose -4*c - g = -0. What is the third smallest value in 4, 3\/4, c, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1930504 and 3378382.\nAnswer: 13513528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32121067 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1406, 2448, 3126, 3440, 3390, 2976, 2198?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2)\/(14\/(-28)). Suppose 2*z - 3*p - p - 18 = 0, b*p + 4 = -4*z. Is z at least 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13327, -14223, -15119?\n\"Answer: -896*i - 12431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 228 and 9.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2224 - 2217. Calculate the remainder when (-200)\/12*(-6)\/4 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - -10. Let k = v - 4. Let b = k + 5.9. Put 2, -2\/3, b in descending order.\nAnswer: b, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*b - 91*b + 0 + 0 = 0. Let z(v) be the third derivative of 0*v**4 + 0*v**3 + b + 1\/60*v**5 + 3*v**2 + 0*v. Let f(n) = -32*n**2. Give f(z(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10566 - 21122 + 1362*q + 10556.\nAnswer: 1362*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s**2 - 516*s - 3846. Calculate h(-30).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 933224, -3\/4 in ascending order.\nAnswer: -1, -3\/4, -2\/5, 933224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2. Let o(u) = 29*u**2. Calculate f(o(x)).\nAnswer: -5887*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/5 + 176196*f**2\/5 - 704736*f\/5 + 140944 = 0 for f.\nAnswer: 2, 44045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 3*o**4 + 0*o**4 + (2 - 2*o - 2)*(-4*o + 4*o - o**3) + 2*o - 2*o - o**4 - 10*o**4 - 15 + 15 + (0*o**4 + 3*o**4 - 2*o**4)*(-5 - 2 + 5).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67, -532, -1263, -2260, -3523, -5052?\n\"Answer: -133*a**2 - 66*a + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1058263 from -2.386.\nAnswer: -2.4918263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(4 + (sqrt(7) - -1*sqrt(7)) + sqrt(63)\/(sqrt(9) + sqrt(36) + sqrt(9)) - ((sqrt(7) - (sqrt(567) + 0)) + sqrt(49)\/(-2*sqrt(7)) + sqrt(7)))*-2)**2.\nAnswer: 624*sqrt(7) + 10903\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 7 = 10*b - 7*b, 4*b - 12 = 4*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 22\/(-18) - 312\/(-108). Factor -2*h + 2\/3 - i*h**2.\nAnswer: -2*(h + 1)*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 105779 - 105779.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (2 - 5) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1424 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 50 - 137 = 0. Let s(d) = 3*d - 66. Let x be s(j). What is the highest common divisor of 399 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -150, -143, -134, -123, -110, -95?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 7, k: 5, q: 6}. Give prob of sequence vrq.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 2*w**2 - w + 2*w - 2*w + w**2 + (-33*w + 9*w - 37*w)*(0*w - 3*w + w) - 2*w**2 + 2*w - 2*w + (1 + 0 + 1)*(-1 + 1 + 2*w**2).\nAnswer: 123*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*i - 4 = -13, 9 = 5*f + 3*i. Suppose -n + f*n + 11 = 2*j, 2*j = -4*n + 26. Put j, 0.06, 4 in decreasing order.\nAnswer: 4, j, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1545 take away 0.4?\nAnswer: -0.5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3200070 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**4 - 628*w**3 - 3588*w**2 + 5492*w + 8456 = 0.\nAnswer: -151, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 1104.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.046 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*2*-6 - (sqrt(325) - (1 + sqrt(325)) - sqrt(325))*-1) + 2 - (-1 + (-2 + sqrt(325)*-2 + sqrt(325))*-4*-2))**2.\nAnswer: -900*sqrt(13) + 8449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 11 + 7)*(0*r - 3*r + 5*r)*(2*r - 3*r + 3*r) to t + p*r**2 + d*r and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9407 divided by -1?\nAnswer: 9407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123281263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*p - 3 = 0, 3*d = 3*p + 4 + 17. Let j = d - 2. Suppose -6 = 3*c, 0*b + 5*c = j*b - 22. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:54 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1137, 2359, 3589, 4827?\n\"Answer: 4*x**2 + 1210*x - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1028 + -569. Let p = u - 456. Which is the smallest value? (a) -2 (b) p (c) -1\/3 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 + 5*k - 1. Let u(o) = -65357*o + 0*o**2 + 1 + 4*o**2 + 65352*o. What is -2*m(l) - 3*u(l)?\nAnswer: -2*l**2 + 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*o + 48 = -292. Solve 3*g - 12 = -4*l + 2*l, l - o*g = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*w**2 + 7*w**2 - 24*w**2 - 14*w + (6*w + 22*w + 3*w)*(-2*w - w + 2*w).\nAnswer: -32*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(2\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 216086068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2933 + 4?\nAnswer: 2937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -271, 5 in descending order.\nAnswer: 5, 3, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 divided by 2?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 40*u - 798 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 - 2*j**4 + 3*j - 15*j**2 + 17*j**2 in the form u*j**3 + a + b*j + f*j**4 + d*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8739*0.5\nAnswer: 4369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 82. Calculate the highest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p - 1. Calculate h(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 - 6*s - 1. Let r(a) = -2*a**3 - a**2. What is g(c) + 4*r(c)?\nAnswer: -2*c**3 - 4*c**2 - 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*((sqrt(170) - (sqrt(170)*-4 - sqrt(170)) - sqrt(170)) + sqrt(170)))\/sqrt(10) + (sqrt(2448) + (-5 + 2 + sqrt(2448) + sqrt(2448))**2)*5.\nAnswer: -630*sqrt(17) + 49010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22735 + 22720.327. Let b = d - 0.127. Let s = -22.5 - b. Round s to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 + x**3\/6 - 2*x**2 + 7*x. Let l(b) = 1. Let m be 0\/(-3)*1 - -3. Calculate m*l(t) + z(t).\nAnswer: t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37517975 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - (sqrt(143) - (sqrt(143) - (sqrt(143) - (sqrt(143) - (sqrt(143)*-2 - sqrt(143)))))*2))*-4)\/((sqrt(99)*2)\/sqrt(9)*2) + 1)*5.\nAnswer: -40*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -520. Let d = 775 + u. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 1:05 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 19358982.5 to the nearest 100000.\nAnswer: 19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -40, -54, -70, -88, -108?\n\"Answer: -d**2 - 9*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -288*k. Let z(x) = 133*x + 1. Calculate z(o(d)).\nAnswer: -38304*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)*s**(-6\/7)\/s*s)\/(((s\/(s*s**0*s))\/s)\/s)**(-35))**(-19))**18 assuming s is positive.\nAnswer: s**(262998\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 78871.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 5787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzzzzzzzzz. Give prob of sequence zb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(-3*2*sqrt(931) - (-3 + (sqrt(931) - 4*sqrt(931)) + sqrt(931))))**2.\nAnswer: -896*sqrt(19) + 59648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) - (-147)\/35. Let r be ((-15)\/10)\/(6\/4) + m. Factor -2\/15*u**5 + 0*u**2 + 4\/15*u**4 + 0 + 0*u - 2\/15*u**r.\nAnswer: -2*u**3*(u - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from mlmmmlllbzylmbl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(2835\/312 + 27\/(-3))\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3288*f - 1548*f - 1737*f + 418.\nAnswer: 3*f + 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.043, 84, -4 in decreasing order.\nAnswer: 84, -0.043, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 914508967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 8*l**2 + 8*l - 4*l.\nAnswer: -8*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-5)*(-713 + 6). Suppose 191 = -2*x + h. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12408, -24815, -37222?\n\"Answer: -12407*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30508, 30484, 30460, 30436, 30412, 30388?\n\"Answer: -24*g + 30532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 + 388705*o**4 + 8942495*o**3 + 28388735*o**2 - 379084290*o - 1182790440 = 0. What is o?\nAnswer: -13, -3, 6, 77764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.806821808 to 3 dps.\nAnswer: 4.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 47. Let z = 5.714 - -0.286. Let p = j + z. What is the smallest value in -4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-31 - -79)) + 6 + -6.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -2 - (-140 + 141)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 39 - 24. Solve -r*x = 4*w + 15, x = 2*w - 3*x + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288.096217 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 4 - 54\/3. Let a = g + 16. Let y(u) = -u**2 - u. Let s(d) = -7*d**2 - 9*d. Let w(k) = a*s(k) - 5*y(k). Determine n, given that w(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110000 - 11101011?\nAnswer: 101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1911, -3828, -5765, -7722, -9699, -11696?\n\"Answer: -10*d**2 - 1887*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, 0, -20 in descending order.\nAnswer: 4, 0, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 478 + -476. Let y = -13 + 8. What is the second smallest value in b, y, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5668696811 and -0.178?\nAnswer: 5668696811.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**29*n*n*n**(-1\/14)*((n*n*n**(14\/9)*n*n)\/n*n*n)**(-12\/11) assuming n is positive.\nAnswer: n**(10985\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 2, -59 in ascending order.\nAnswer: -59, -4, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r + 1\/5*r**5 - 11 + 5\/6*r**4 - 4\/3*r**3 + r**2. Determine p, given that j(p) = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 17. Sort -4, -2, j in descending order.\nAnswer: -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*o - 287*o - 2*o**2 + o**3 - 1 - 6*o**4 + o**3 + 147*o in the form g*o + j*o**3 + w*o**2 + q*o**4 + a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3 - 3 + f**2. Let p be -6 - -7 - (0 + -2). Let j(u) = 3*u**2 + 2*u**2 - 3*u**2 - p*u**2. Calculate c(j(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17240 - 17239.73917. Round g to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-43)\/w))\/w**(-39))\/(w**13\/w**11))**(-5) assuming w is positive.\nAnswer: w**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 + 53 = -5*v. Suppose -v = a - 2*a. Suppose -112*h + 128*h - 368 = 0. What is the remainder when a is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(47864\/21616).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1679106*a**3*n**2 + 975*a**3 + a**2*n**2 - 933*a with respect to n.\nAnswer: -3358212*a**3*n + 2*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 61*f**3 + 2*f**2 + 3*f. Determine h(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4\/9, 0.1, 0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/9 - 10\/(-45). Suppose 2772 + 1424 = x*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -46*v + 165. Let q be w(-9). Suppose 162 = t - 2*j + 35, 0 = 5*t + 4*j - q. What is the highest common divisor of 85 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65740784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 243281411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15583, -15582, -15581?\nAnswer: -15580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*a + 22*a + 90. Is (-4)\/(-10) - 15597\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232219 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-3\/7))\/y)**17\/(y*y\/y**(6\/17)*y**(-1\/12)*y) assuming y is positive.\nAnswer: y**(10211\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169058 is divided by 3303.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = 2*r. What are the prime factors of -4 + (-14)\/(4\/r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - 0.07. Let c(z) = -z**2 - 3*z + 10. Let m be c(2). Sort 1, d, m in ascending order.\nAnswer: m, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 441 - 431. Which is smaller: 124\/13 or p?\nAnswer: 124\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 31, -1\/2, 5 in descending order.\nAnswer: 31, 5, 3\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657643 is divided by 92089?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilmlfimnggmigimmli. Give prob of sequence mfl.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*q, 0*q - 55 = 4*b + 35*q - 242 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 17*j**2 + 20*j - 24. Determine v(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58849589123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*g - 8*g + g - 2*g**4 + g**3 + 60 - 61 + g**2 + 18*g to the form c*g**3 + v*g**2 + z*g + n + a*g**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + 3*n, -n + 38 = 5*s + 14. Suppose 12734*m - 495 = 12745*m. Put m, -2, s in decreasing order.\nAnswer: s, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-187) - (-4)\/22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d + 2. Let j be (-2 - 34\/(-18))\/d. Let y = -539 - -1613\/3. Put 0.4, y, j in descending order.\nAnswer: 0.4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - f**2 + f + (-f - 2*f + 5*f)*(-2*f + 2*f + 2*f) - f**2 + 4*f**2 + 2*f**2 as a + s*f**2 + q*f and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10757, -10759, -10761, -10763?\nAnswer: -10765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -35184*d. Let b(i) = -9*i**2. Calculate b(s(u)).\nAnswer: -11141224704*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 1124 - 118 = 0. Let y = 142 + c. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58097 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36992969.\nAnswer: 13, 17, 73, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3576 and 30?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12445410 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 259*r - 13230. Let u be v(70). Factor u - 111\/2*a**2 - 3*a.\nAnswer: -3*a*(37*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 184*z - 169*z - 150. What is the remainder when 131 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -98, -103, -84, -29, 74, 237?\n\"Answer: 2*x**3 - 19*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1350 and 16?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 164*s - 3729\/2.\nAnswer: (s - 11)*(s + 339)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*d**4 - 4*d**3 - 14*d**2 + 16*d**2 - 6*d**2 - 4*d wrt d.\nAnswer: -456*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + 3*y**3 - 3*y**3 - y**4 - 2*y**5 + y**4 + (0*y**2 + y**2 + 0*y**2)*(-2*y**3 + y**3 - 3*y**3).\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - -1)\/(-2))\/(26\/572). Calculate the greatest common divisor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*c + c. Let q(d) = 20*d - 21. List the prime factors of q(c).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**3 + 60530*h**2 - 5705225*h = 0?\nAnswer: 0, 95, 12011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -24*g + 331. Let m be x(14). Suppose 3*i - 3 - 6 = 0. Sort 4, i, m.\nAnswer: m, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 35\/8, -4, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-315*z + 299*z + 405*z)*(-5 + 2 + 7).\nAnswer: 1556*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6737 times -5\nAnswer: 33685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23447, 23452, 23459, 23468?\n\"Answer: l**2 + 2*l + 23444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/(h**(-5)*h)))\/h)\/((h*h**(-11)*h)\/h))**(-25) assuming h is positive.\nAnswer: h**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1825*y**4 - 164*y - 1 wrt y?\nAnswer: -21900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 370. Let p = -165 + f. Let h = 152 - p. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 - -4 - (12 + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*o - 27, -124*w + 123*w = -3*o - 21. Sort o, 13, -48, -3, 5 in descending order.\nAnswer: 13, 5, -3, o, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 273. Let t(z) = -5*z. What is t(f(u))?\nAnswer: -20*u - 1365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*g + 12 + 2, -3*g - 31 = -4*i. What is the least common multiple of 9 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864 and 2358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Suppose -2*i - i = -9. Suppose -2*k + 2 = -2*m, -k = -0*k - i. What is the nearest to y in m, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0 - 2\/51*q**3 - 1\/17*q**2 - 16*q - 1\/102*q**4. Solve f(y) = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 30. Let w = 15 - g. Sort 0, -1, w in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 556*l + 51. Let v(q) = 3337*q + 289. Calculate -34*r(j) + 6*v(j).\nAnswer: 1118*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 53.621mm?\nAnswer: 5.3621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/204 and -163\/78234.\nAnswer: 156468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 16 - 10*d + 16 + 0. What is the hundreds digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(3\/11)*c*c**(-11)*c*c)**(-5\/7)\/((c**(1\/3)\/(c**(1\/3)*c))\/((c\/c**0)\/c**0)) assuming c is positive.\nAnswer: c**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.08 + 14.02. Let t = f - 18. Let v = -4.8 - -5.1. Which is the closest to t? (a) v (b) 0.2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091500028.\nAnswer: 2, 14207, 54401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - x + 5 - 2 = 0, -4*x + 12 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931759969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 2*j**2 - 7*j**2 + 0 - 1 in the form q*j**2 + y*j + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04709 + -0.25291. Let x be (1\/(-1))\/(2 + -3). Let v = 0.4 + -0.3. Which is the second biggest value? (a) v (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227406 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: Let v = -0.2279 + 0.227900328. What is v rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3078000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -29\/2, -5593, -1\/9 in descending order.\nAnswer: 2, -1\/9, -29\/2, -5593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*a + 51 - 38 - 7)*(-3*a**2 + 0*a**2 + 5*a**2).\nAnswer: 222*a**3 + 12*a**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: Calculate the smallest common multiple of 9306 and 3196.\nAnswer: 316404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124338239?\nAnswer: 3, 127, 109297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fllddlnffyddnsd. Give prob of sequence ffly.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 335573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 26*v**2 + 234*v - 2. Let x be y(-9). Let s = -3.1 + 3. Which is the nearest to s? (a) 0.25 (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*t + 108 + 139 - 349*t + 658*t as b*t + i and give i.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-18)\/5183997) - (56\/48 + -1). Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9159352 and 4579676?\nAnswer: 9159352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 5*d**2 - 2*d**3 - 10*d**2 - 4*d**2 + 10*d**4 + 2*d**5.\nAnswer: 2*d**2*(d - 1)*(d + 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewoists. What is prob of sequence eios?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(24 - 22))\/((-18)\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, 922, 0.03, 7.5, -3\/13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 6*j + 9. Let w(m) = m**2. Let q(d) = h(d) - 5*w(d). What is q(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/310 and 28\/350 - (-2046)\/(-11700)?\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 66*u**3 + 388*u**2 + 624*u.\nAnswer: 2*u*(u + 3)*(u + 4)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 8*t + 1. Let l be 11*(-62)\/(-8)*(-16 - -20). Let q = l - 278. What is the remainder when q is divided by j(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -4*g + 5*d, 5*g + 4*d = 23. Suppose 14 = -g*k + 7*p - 2*p, -4*k = -2*p. What is the least common multiple of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k = l + 75*k - 20, 16 = 4*k. Let z = -140 - -419. Suppose 8*s - 553 - z = l. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**2 + 389*v - 289. Give g(61).\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 10 + 82)*(-2 + 2 - 2*b**2 + (4 - 2 - 5)*(2*b**2 + 0*b**2 - 3*b**2)) to l*b + m + a*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7256230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 722567755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/63, 13, -0.3 in descending order.\nAnswer: 13, 2\/63, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 11}. What is prob of sequence pppp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*b + 3 = -0, 0 = 5*c + 4*b - 15. Suppose -5*s - c = -28. Suppose -s*g = 70 - 195. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/10 - 57*g**3\/2 - 2483*g**2\/10 + 57*g\/2 + 1242\/5 = 0.\nAnswer: -276, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*h**5 - 14455*h**4 + 945960*h**3 + 3736280*h**2 + 3127440*h - 889840 = 0. What is h?\nAnswer: -2, 2\/9, 98, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 34*i**2 + 3*i. Let t = -14434 + 14431. Let o(v) = 69*v**2 + 5*v. What is t*o(d) + 5*x(d)?\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 10. Let q(a) = 5*a**3 - 12*a**2 + 4*a + 7. Let v(b) = -14*b**3 + 35*b**2 - 11*b - 21. Let t(n) = 17*q(n) + 6*v(n). What is t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11829 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpajaavja. Give prob of picking 1 v and 1 j.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*-2*(sqrt(288))**2.\nAnswer: -3461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 22*u - 3*u**2 - 50 + 52 to i + p*u + h*u**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.181 - 0.081. Let d = q - 30. Let f = 26 + -22. What is the nearest to -2 in -2\/5, f, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 + 125*x - 315. Calculate w(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2703, 5409, 8115?\n\"Answer: 2706*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 + 89*u + 7. Calculate the remainder when 107 is divided by a(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.3 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from ykxsskxdkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*2*6)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 41*h**2 + h - 964. Let d(v) = 38*v**2 - 964. Let f(l) = 4*d(l) - 5*u(l). Differentiate f(s) with respect to s.\nAnswer: -106*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-12 + -5 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 416 = -3*o - 401, 3*o = -4*v + 22 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 103003 (c) -5 (d) -2 (e) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.16, 0.05, -2\/3, 3, 9 in descending order.\nAnswer: 9, 3, 0.05, -0.16, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7795689 + 505689. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - y + 4 = 0, -8*y + 5*y = -4*g + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*p - 10, -p + 8 = 2*j + 2*j. Suppose -4*n = -u - 4*u + 19, 0 = -2*n + j*u - 10. What is the units digit of 2\/n*(-14 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15363*r. Let n(w) = w. What is c(n(o))?\nAnswer: -15363*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160577 and 8339091?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t + t)*(-3*t - t + 5*t) - 1 + 1 + 4*t**2 - 152*t**2 + 89 - 146*t**2 + 297*t**2 to d*t**2 + m + b*t and give m.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42020.51um in centimeters?\nAnswer: 4.202051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = -5*a - 160, -5*l + 160 = a. Calculate the remainder when 53 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 7*l**2 - 2*l + 8. Let d be u(5). Is (-32662)\/d - 4\/22 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/(3\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + sqrt(72)) + 2)**2.\nAnswer: -1152*sqrt(2) + 2848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1674937027.99999972 + -1674936993. Let t = f - 35. Round t to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 212404?\nAnswer: 42480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(780\/16)*10\/4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + (107 - (40 + 63) - (-1 - 15))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*26\/4. Let q(v) be the first derivative of -2*v**3\/3 - 29*v**2\/2 - 8*v + 1985. Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, -2\/11, 3\/7, -22, 2 in decreasing order.\nAnswer: 2, 3\/7, 1\/3, -2\/11, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (4 - 10) + 15. Let y(j) = -7 - 5*j - o + 46*j**2 - 29*j**2. Is y(6) 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 12649 and 72419?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2. Let o(v) be the second derivative of v**3\/2 - 5*v**2\/2 - 21*v + 1. Determine k(o(d)).\nAnswer: -18*d**2 + 60*d - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + 6?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -4, -27057 in descending order.\nAnswer: -4, -63, -27057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -10, 0, 0.3, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let y = a + 3. Suppose -3*f + 3*l + 25 = y*f, 0 = -f + 5*l - 17. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(((a\/(a\/a**(4\/7)))\/a)\/a)\/a*a*a*a*a**(-2\/11)\/a)**(-4\/31) assuming a is positive.\nAnswer: a**(-120\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126754.\nAnswer: 2, 3, 7, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*o = -25845526 - 53898074. Round o to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 3*c - 5*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:30 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1712, 1028, 344, -340?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12\/(-28) + 14400\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 625 - 490. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 - 89. Suppose -2*z = 47 - f. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2)*(-48)\/(-40). What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-1311)\/108) + -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (31 - (1 - 1)) + -2. Suppose c = 2*r - r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156738103 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g + 190. Calculate x(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -142*t**2\/3 - 277*t\/3 + 14\/3 = 0.\nAnswer: -2, 7\/142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237687154?\nAnswer: 2, 8537, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 13*k - 36*k + 9*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 654698, 654693, 654686, 654677, 654666, 654653?\n\"Answer: -y**2 - 2*y + 654701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/432 + (-10088)\/(-18). Suppose -4*y - 3*y + f = 0. What is the lowest common multiple of 44 and y?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + -2*(sqrt(1377) + 1 - sqrt(1377))*1*4))**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {d: 2, z: 3, r: 3, n: 3, i: 1, g: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:56 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19783 = -20*v - 19863 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391885.\nAnswer: 3, 5, 23, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1 + 10 = v, 11*x = -4*x - 5*v - 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.63 - -0.7. Let o = -94 - -93.6. Which is the third biggest value? (a) -2\/3 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k + 18 = -3*u, 5*u + 23 = k. Let b be 1\/4 + (-462)\/(-168). Solve -k*q + 3 = 15, -5*a - b*q = -13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -4b6b?\nAnswer: -4b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -18.1.\nAnswer: 380.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -554a?\nAnswer: 5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51102 is divided by 25534.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*k - 11, 51*i - 36 = 52*i - 4*k. Which is the closest to i? (a) 4 (b) 96 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7596858854 to five decimal places.\nAnswer: -0.75969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468950 + 4*m - 3*m - 468951.\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:33 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33387\/20178268 - -2\/32131. Let f = v - 3757\/6908. Calculate the common denominator of 93\/4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -1\/2*v**3 + 0*v**2 + 0 + v**4 - 5*v. Let c(y) = y. Let b(q) = -4*c(q) - j(q). What is the second derivative of b(r) wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 53 - 59*y - 11 - 16. Is q(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(5\/(10\/(-3))). Suppose 78 = q*p + 5*j + 22, 14 = p - j. Solve -2*u = -t - 14, 4*t + p + 8 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 0\/1 + 1. Let u = -7 + f. Which is smaller: u or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1532, -1538, -1544, -1550?\n\"Answer: -6*v - 1526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168*((-2)\/(-28))\/(22\/77) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/47)\/(-2)*(-324)\/(-3780)*(-14)\/(-6).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2221827 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1620 and -49\/28332.\nAnswer: 1274940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55315, -110612, -165909?\n\"Answer: -55297*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3227 - 3227. Factor q + 1\/7*v**2 - 1\/7*v.\nAnswer: v*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525, 540, 575, 636, 729, 860, 1035?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/((w\/(w*w*w**16))\/w))**(5\/6) assuming w is positive.\nAnswer: w**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536 + 0*d - 536 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4813 + -4810. Solve 4*r - q = 20, -17*r - g*q - 28 = -21*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(5*(sqrt(90) + sqrt(10)) + sqrt(10)).\nAnswer: sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198843 and 1501?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290171504?\nAnswer: 2, 7, 17, 257, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -143568 * 19\nAnswer: -2727792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 12:18 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16003.\nAnswer: 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k - 9. Let i be l(8). Let r = i - 21. Let z = -2 + 92. Calculate the greatest common factor of z and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**5\/60 + g**4\/6 + 79*g**3\/6 - 39*g**2. Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 62 - 69 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c**2. Let r(a) = 144*a - 1 + 1 - 140*a. Give v(r(n)).\nAnswer: 368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/((2*sqrt(90))\/sqrt(9)))**2*5 - (-1*4*sqrt(52) + 5).\nAnswer: 45\/4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 133805219 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 = 4*c - 2*f, 3*c - 4*f - 32 = 0. Suppose -c*t + 97 = 29*u - 26*u, -t + 173 = 5*u. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 + 12*g + 4. Let u be p(3). Let x be u - (-6)\/(-2) - 13. Which is bigger: -25\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:43 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2243 - 838. Suppose -73 = 9*f - y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3099171 (base 10) in base 4?\nAnswer: 23310220203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {c: 2, n: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1080\/15)\/12*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (488\/3660)\/(2\/(-310))*(-3)\/6.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 4*c + 12*c**2 to the form z + q*c + s*c**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + -8 + 1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/12 + (-17)\/(-11). Which is the biggest value? (a) -0.04 (b) z (c) -5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 37, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, j: 4, k: 1, h: 2}. Give prob of sequence hhkl.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 369*w**3 + 14*w**2 + 16*w + 12. Let o(a) = 2*a**2 + 3*a + 2. What is -6*o(f) + q(f)?\nAnswer: 369*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -637008328 less than 0.31?\nAnswer: 637008328.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1324*c**3*w**5 + c**3*w**3 + 5*c**3*w - 2*c**3 + 10*c**2 - 3*c*w wrt w.\nAnswer: 26480*c**3*w**3 + 6*c**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -109. What are the prime factors of (-3)\/(-10)*(-32)\/r*305?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 + -2 + -1)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:09 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from numlomlmmo.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/((-18)\/(-9474)))\/(1\/12).\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -20. Let i(s) = -s**2 - 6*s + 7. Let y be i(-7). Suppose j + j = m*t + 80, -3*j - 5*t + 120 = y. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 12112021210?\nAnswer: 12112021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 35596.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(6) - (-4*sqrt(150) - sqrt(150))) + sqrt(6))\/(-5*(sqrt(50) + sqrt(2))).\nAnswer: -27*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185318 and 9923480.\nAnswer: 5978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 14. Let u = 53 + -60. Let h be n(u). Suppose 4*i - 2*p - 12 = h, 12 = 2*i + 2*i + 2*p. Let g(y) = y**3 - 2*y**2 - 3*y - 1. Determine g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezzzuwwzzezwzzw. Give prob of picking 2 w and 1 u.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f**2 - 3*f + 3. Let s(r) = 2*r**3 - r**2 - 5*r + 6. Let d(z) = 5*c(z) - 2*s(z). What is d(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/3)\/((-12)\/(-18)). Let n(k) = k**3 + 14*k**2 + 12*k - 11. Let f be n(b). Let s be (2\/3)\/(7\/21). Solve f*i - 2*c - 7 = 1, 4*i = -s*c - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqzqjpejqqqj. What is prob of picking 1 p and 1 e?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -177, -387, -597?\n\"Answer: -210*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.8, -4, -37, 11\/6, -5.\nAnswer: -37, -5, -4, -0.8, 0, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 45 = -f - f, 0 = -3*f + 4*j + 66. Let d(z) = -5*z - 3 - 10 + f - 6 - 3. Calculate d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48870 + 89548. What are the prime factors of p?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - i + 9, 3*i = 2540*m - 2536*m - 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2202577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 1\/3, 5\/4, -0.053, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108878857 divided by -383?\nAnswer: -284279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 8*d + 2. Let k be r(8). Suppose 25 = k*p + 21. Suppose -h + 300 = p*v - 5*h, 805 = 5*v + h. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2690089 and 1.\nAnswer: 1.2690089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 313?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, c: 1, m: 2, j: 3, s: 1, u: 7}. What is prob of sequence mh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 468 + -440. Which is the smallest value? (a) 12 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27680*b**2*m**2*x + b**2*m*x - 21*b**2*x**2 + 263*b*m*x**3 + m**2*x**3 wrt m.\nAnswer: 55360*b**2*x + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -35. Let o be (3 - 1)\/((-13)\/x). Factor -4\/13 + 2\/13*r + o*r**2 - 2\/13*r**3.\nAnswer: -2*(r - 2)*(r - 1)*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*u + 7 = 0, -25*u - 9 = -28*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + v - 4. Let z be c(-4). Let r = 8 + z. Suppose 0 = -o - r + 52. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 + 9*h**2 + 6*h + 1. Let v be p(-4). Let j = -101 - v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + w**3 - 4 + w**2 + 5 + 361*w**4 - 364*w**4 to the form g*w**3 + o + j*w**2 + z*w + n*w**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (126\/24)\/(-7)*(-1 + -31). Suppose -11 = -5*t + 2*c + j, -t + c = -7. Put t, -3, -1 in descending order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*v*y**3 - 77*i*v*y**2 - i*v*y + 17*i*y + i - 2*v*y**3 + v wrt y?\nAnswer: 6*i*v*y - 154*i*v - 12*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -4 (b) 8 (c) -134 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*v**2 - 4*v**2 - 22*v**2 - 34*v + 59*v**2 as x*v**2 + z*v + c and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77074, -76787, -76526, -76303, -76130, -76019, -75982?\n\"Answer: -2*k**3 - k**2 + 304*k - 77375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3345.06 and -0.16.\nAnswer: 3344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/2 - (-108)\/(-18). Solve -j*x - 6 = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(605) - (1*sqrt(605) - sqrt(605))) + 0 + sqrt(605) + 4 + sqrt(605) + (5 + sqrt(605)*-2 + sqrt(605) - -6*(sqrt(605) + -1)))**2.\nAnswer: 1408*sqrt(5) + 38784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2*(-1 + 0). Let v be -5 + 1*(3 + j). What is the remainder when 29 is divided by (6 + v)*(-20)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + d + 144*d**2 - 7*d**4 + 21*d**3 - 142*d**2 in the form c*d**2 + x*d + i + m*d**4 + b*d**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -20a?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/76896 and -11\/518400.\nAnswer: 46137600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/43 in 1, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11)\/((24\/(-105))\/(4\/10))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 388\/11640*6\/(-1*2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.43 - -4.09. Let p = q + -9.073. Round p to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let q(p) = -58*p**2 - 44*p. Give x(q(o)).\nAnswer: -58*o**2 - 44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 112087*m = -112084*m + 11, -34 = -22*k + 3*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.211884788 rounded to four decimal places?\nAnswer: 0.2119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 6:37 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (0 - 10 - (97 + -109) - (10 - 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 30*y - 26. Let c be t(29). Solve -c*r - 11 = s, 5*r = -s + 4 - 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 13*z + 2. Let c be (26\/3)\/((-22)\/(-33)). Let y be n(c). Solve -y*f - 2 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65949, 131888, 197819, 263742, 329657, 395564?\n\"Answer: -4*a**2 + 65951*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - -0.17. Which is the closest to 0? (a) t (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.2 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*30\/4. Let t = 3286 + -3281. Suppose -4*l - 11 = n, t*l + 2 = n - r. Sort 3, -4, 0, l in ascending order.\nAnswer: -4, l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102121 plus -1?\nAnswer: -21102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 4 + sqrt(405) + 1 + 1*sqrt(405)*6)**2.\nAnswer: 882*sqrt(5) + 19894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 4. Suppose 3*z + 3 = 2*t - 2, 5*z - 4*t + 11 = 0. Let p = z + 4. Determine y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978010 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 364327816 divided by 623849\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130341433 + -4?\nAnswer: -130341442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1231?\nAnswer: 1\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -1\/5, 0.3, 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.627603601 - -0.1.\nAnswer: -0.527603601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2569320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 47200*u**2 - 1087628*u - 1040424.\nAnswer: 4*(u - 11823)*(u + 1)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 - 25408*n**2 + 9182406*n - 818188164 = 0. What is n?\nAnswer: -13058, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 26*u**2 - 24*u - 76. Determine j(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c + 4. Let k be q(6). Let a = k - 6. What is the lowest common multiple of -2 - 1\/(a\/20) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0*n - n + 0*n + 2 + 6*n**2. What is the remainder when ((-4)\/(-42)*3)\/((-155)\/(-28210)) is divided by a(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -95451.\nAnswer: -477255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xisbbzb. What is prob of picking 1 s, 1 z, 1 x, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - -1)*(-12)\/12. Suppose -5*v + 190 = -x - 56, x + v + 252 = 0. Let d = 251 + x. Solve 3*q + 2*a = t - d, -4*q - a = -13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*(6\/(-24))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5930, -11909, -17888?\n\"Answer: -5979*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1063 (base 11) to base 16\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2. Let b(t) = 5825*t + 4 - 4 - 3098*t - 2903*t. What is b(l(z))?\nAnswer: 1056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1611253 - -0.346.\nAnswer: 1611253.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 191296 divided by -4?\nAnswer: -47824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*10\/(-2 - -4). Suppose -w + m*w = 16. Let z = 3.02 - 0.02. Sort z, -5, w.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 14. Let z(m) = 11 - 3*m**3 + 2*m**3 + 0*m**3 + 7*m + 7*m**2. What is the units digit of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553300 is divided by 194?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10878*q**2 + 835*q + 9317. Let u be n(-11). What is u rounded to the nearest ten thousand?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -60*m + 2. Let o(i) = 121*i - 5. What is -2*o(g) - 5*t(g)?\nAnswer: 58*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 745*n - 13 + 774*n - 1549*n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.6, 1, -2.38.\nAnswer: -5, -2.38, -0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 16*x**2 + x. Give r(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 - -413. Let t(c) = c**3 - 5*c**2 + 4*c + 1. Give t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9884*m - 13452095. Determine o(-1361).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 + 228. Let s(i) be the first derivative of -i**3\/3 - i**2\/2 - i + 3. Let b(u) = u - 4. What is a*s(h) - b(h)?\nAnswer: -2*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1913, 3793, 5687, 7601, 9541, 11513, 13523, 15577?\n\"Answer: k**3 + k**2 + 1870*k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18555.\nAnswer: 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, s: 2, j: 1, h: 2}. Give prob of sequence hs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6450451*n. Let o(f) = -2*f - 3. Determine o(h(a)).\nAnswer: -12900902*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -578611 or -578939?\nAnswer: -578611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -24. What is v rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -665*f**2 + 4*f - 494. Let r(v) = 1329*v**2 - 10*v + 989. Let u(j) = 10*l(j) + 4*r(j). Differentiate u(h) wrt h.\nAnswer: -2668*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(200) + 2 + sqrt(200) + -2 + 0 + 3 + 1)**2.\nAnswer: 320*sqrt(2) + 3218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 16. Determine w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + 7 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34 + -33)*(-3 - -3). Let f be 5 - (2 + (-5 - -2)). Solve k*c - 18 = -f*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y. Let b(l) = -240*l**2 + 33*l - 33. Let d(o) = -15*o**2 + 2*o - 2. Let h(f) = 2*b(f) - 33*d(f). Calculate h(t(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6148 - -9053. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55070*b + 148512.\nAnswer: 55070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4574 not equal to -1554.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 31 = -0*n + 5*y, 0 = 2*y - 10. Solve q = 3*q + 2*g, n*q - 1 = -3*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m + 6*m - 8*m)*(-2*m**2 - 82*m**2 - 6*m**2) + (7*m**2 - 2*m**2 - 3*m**2)*(-2*m + 0 + 0).\nAnswer: -904*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174477357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 123?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*l - 9 = 0, 2*j + 3*j - 15 = 2*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -b3658?\nAnswer: b3660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -52827.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -235969, -9.6, 0?\nAnswer: -235969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2*sqrt(57) - sqrt(57))*5)\/(-2*sqrt(3)*2) - ((sqrt(190) + sqrt(190)*1 + sqrt(190) + sqrt(190))*6)\/(sqrt(160) + sqrt(160)*1 - sqrt(160)))**2.\nAnswer: -79895\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*d - 17*d - 2727 - 793 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24633*h**4 + 54*h**3 + 11*h**2 + 412295930.\nAnswer: -98532*h**3 + 162*h**2 + 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 4)*(-2*w + 2*w + w) + w + w - 4*w + 15*w + 3*w - 7*w to the form o + q*w and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlv when three letters picked without replacement from {n: 1, l: 3, c: 1, i: 1, v: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 545*f*l*n**3 + 13*f*l*n**2 - 14*f*l - 2*l*n**2 wrt n?\nAnswer: 3270*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 122?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057806 is divided by 352217.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 18*t**2 - 27*t.\nAnswer: -3*t*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 29*j - 31. Calculate t(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16532*w - 16562*w + 33055*w - 897 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:12 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (389 - 182 - 185)*(5 - 2 + 0)*(-m**2 + m**2 - 6*m**3).\nAnswer: -396*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -445*q**3*s**2 - q**2*s + 33*s**2 - 1 wrt q?\nAnswer: -2670*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(112) - sqrt(7)) + 4)**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045870314 rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufffffuuufuf. Give prob of sequence ufu.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (-68 - 6 - -78 - (64 - 0))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**3 - 13*j**2 + 47*j + 2.\nAnswer: -42*j - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1, -2, -57 in decreasing order.\nAnswer: 3, -1, -2, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-42 - (-88 - -32) - 7)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 990 - 456. Let y = z + 373. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 2 - k + 1 + k**2. Let p be o(1). Let t(d) = -3*d + 3. What is t(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 2, c: 1, y: 2, x: 3, t: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9881*b - 7315 = 10014*b for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 + 7. Suppose 34 = 4*f - 2*f. Let s = f - -2. Calculate the remainder when s is divided by g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.059221 weeks in days?\nAnswer: 49.414547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650933868 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/42)\/(10\/4)*-10*54\/(-12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 78, 80?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 409*a**2 + 7*a - 5. Let s(i) = -819*i**2 - 12*i + 8. Give 5*m(n) + 3*s(n).\nAnswer: -412*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 2 + 0)*(24*s - 8*s + 2*s) + 3 - 3 - 3*s)*(3*s + 2*s - 2*s) to the form m*s + j + q*s**2 and give q.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:37 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = 19. Let s = 7 + a. Suppose 4*q + 1 - s = 0. Solve 11 - q = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 210*h + 6599. Give v(-58).\nAnswer: -2217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y + 3693164 + 3548836. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1))\/((-3)\/51). Let i = m + 35. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(13) + 3)**2 - ((sqrt(13) - ((sqrt(1053)*1 - sqrt(1053)) + sqrt(1053))**2 - sqrt(13)) + sqrt(13)) - (1*sqrt(208)*4)**2).\nAnswer: -2214 - 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*c - 4 - 23, 3*w + 4*c - 31 = 0. Solve 2*h = 3*h - w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144\/5 + -29. Let r = -1 - -4. Which is the biggest value? (a) 0.3 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -103. Calculate the common denominator of 86\/15 and (381*8\/816)\/r.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 23*y**3 + 5*y - 5. Let q(a) = 8*a**3 + 2*a - 2. Calculate 3*j(v) - 8*q(v).\nAnswer: 5*v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -262, -735, -1208, -1681, -2154, -2627?\n\"Answer: -473*o + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23794 = 19*r - 18800 - 50677. What are the prime factors of r?\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -2*p. Let l be p + (-3*1 - 6\/(-6)). Solve 4*n = -n + 5*w - 15, -2*w + l = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3 + 39*t + 38*t - 83*t. Let a(f) = 17*f - 8. Let d(r) = -3*a(r) - 8*i(r). Let l(b) = -30*b. What is l(d(g))?\nAnswer: 90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -578 by -4.\nAnswer: 289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**2 + 5*f**2 + 6*f**2 + 0*f**2 - 31*f**2.\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 3. Let a be h(-3). Let p(w) = w**3 - 7*w**2 + 3. Let z be p(7). Let r = z + a. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -181\/3 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*w = -2, 3*w - 19 = -z - 8. Suppose 0 = -z*d + 2*v + 193, -3*v - 57 = -d + 2*v. Let k = d - 18. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7*x**(2\/13))**(-15))**(-7\/9) assuming x is positive.\nAnswer: x**(1085\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3574216 by 164.\nAnswer: -21794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)*h*h*((h**3*h)\/h*h)\/h*(h\/h**(-2))\/h**(1\/8) assuming h is positive.\nAnswer: h**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/1216917, 7, -1 in increasing order.\nAnswer: -1, -4\/1216917, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1098\/3660 + (-561)\/2070.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16*-10*(-2)\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Let m(j) = -4*j + 2*j + a*j + j. Give m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01571 + -1.31571. Let r = 21\/4 - 159\/28. What is the closest to t in -5, -1, r, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 3 + 3)*(3*c**2 - 4*c + 4*c) + 1024*c**3 + 589888 - 589888 as s*c**2 + z + g*c + y*c**3 and give y.\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*p + 4*p + 7, 6 = -3*p. Is (4*m\/(-6))\/((-2)\/3507) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155663, 155660, 155657?\nAnswer: 155654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -521*n + 529*n - 3880. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7))\/(s*s*s\/s**(-2\/7)))\/(s**(2\/9))**(-37\/4) assuming s is positive.\nAnswer: s**(-65\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + h + 1. Let j(l) = -l**2 - l. Let t(d) = 3*j(d) + w(d). Let n be t(-2). Suppose n*u - 40 = 4*u. Solve -u = -4*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**7\/630 - a**6\/240 - 5*a**4 - 65*a**2. Let b(z) be the second derivative of w(z). Determine s, given that b(s) = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.3. Let m be (-2)\/(-6) + (-3)\/(-45). Let i = -180 - -1622\/9. Which is the nearest to m? (a) 3 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14069, 14067, 14053, 14021, 13965, 13879?\n\"Answer: -v**3 + 5*v + 14065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 170*k + 5289. Give n(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/17 + (-10)\/(-85). Suppose 4*w - 27 = -k, 2*k - d*w - 4 - 14 = 0. What is the third derivative of k*n**2 + 17*n**2 - 9*n**4 + n**4 wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 225 = 12*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6536546l in millilitres?\nAnswer: 653.6546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -13. Suppose -d = 4*t + t. What is the units digit of (1*t)\/((-6)\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 - -7.3. Which is the closest to 1\/4? (a) 3 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 432 + 108 = 0. Let b = 156 + d. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 - 12*z - 8. Give h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 + 105.8. Which is smaller: 2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620616 and 2793?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 7*l**2 + 9*l + 11. Let z be c(-8). Suppose -5 + 0 = z*b - 2*k, b - 9 = -2*k. Let i be b*5 - 0\/7. Let s(w) = w**2 - 4*w. Give s(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20769 divided by -2\nAnswer: -20769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzxf when four letters picked without replacement from {m: 4, x: 2, f: 2, z: 4}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0. Let r = 4 + -2. Let o = 2 - r. Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(192).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 348?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkk when three letters picked without replacement from {s: 4, d: 9, k: 3, v: 4}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:10 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*(-3*x + 3*x + 2*x**2)*(18*x - 26 + 26) in the form t*x + y + z*x**3 + j*x**2 and give z.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 27*k**2 - 187*k - 287. Calculate v(11).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 362486 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36295 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000049987 rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -0.2, 0.274, 1\/8, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.4 - -57.81. Let i = -4.7 - -8. Let g = y + i. What is g rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 0.247?\nAnswer: 0.247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030902587 rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 6*n - 56. What is the highest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1*(4 - 2). Let b = c + 22. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3517 + 15144. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 - 9*g + 7*g + 5*g**2 + 2*g**3 to v*g**3 + s + b*g + u*g**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19808*x - 19803*x - 1185. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 3. Let m(y) = -y + 2. Let c(t) = -t + 3. Let s(k) = 3*c(k) - 5*m(k). Let u be s(2). What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l - 21. Let h(n) = 17*n + 62. Let s(i) = 3*h(i) + 8*t(i). What is the derivative of s(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24353500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 4*d**4 - 23 - 142*d**3 - 40*d**2 + d + 65*d**3 - 32*d**2 + 75*d**3 to the form g + v*d**4 + k*d + a*d**3 + j*d**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Let t = 2.2 - v. Let z = t - 2. Which is the third smallest value? (a) 5 (b) 1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3837711?\nAnswer: 3, 23, 55619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -220, -440, -660?\n\"Answer: -220*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*v + 4*k + 21, 0 = -5*v - 2*k + 17. Suppose -2*w = -w - 3*n - 84, 4*n = v*w - 376. Calculate the greatest common factor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375390507.\nAnswer: 3, 125130169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*v - 59*v + 213403*v**2.\nAnswer: 213403*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c = -34*c + 5*n - 4, 20 = 5*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3584 (base 11) to base 4.\nAnswer: -1021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1055d4 (base 14) to base 7\nAnswer: -4461254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 3*v, -3*v - 2*v = -4*u. Let z = 7 + u. Suppose -15 = -5*f + z*f, 4*r - 21 = -f. Solve b + 5 + r = 2*n, -5*b = -4*n + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 111*c + 12 - 635*c.\nAnswer: -524*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14941114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23024*p - 770 = 23059*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (0 + -5)) + -10. Let w be (-11)\/66 + 5\/m. Sort 3, -3, w, 4 in ascending order.\nAnswer: -3, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79076394247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 1. What is c(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 126*k**2 + 1764*k + 8232.\nAnswer: 3*(k + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from gggr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose -i*t = 4*j - 32, -2*j - 5 = -5*t + 27. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -19. Let p = u + -4. Let t = 0.2 + 0. Which is the nearest to 0? (a) p (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -70. Calculate the highest common divisor of 8 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(1053)*2 - sqrt(1053))**2 + 5 + (0 + -5 + (sqrt(1573) - (sqrt(1573)*-2 - sqrt(1573) - sqrt(1573))))**2.\nAnswer: -550*sqrt(13) + 48835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 + 233894*c**3 + 91*c**2 - 796 wrt c?\nAnswer: -60*c**2 + 1403364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiaaiaaid. Give prob of sequence ada.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/8063 and -33\/2932.\nAnswer: 32252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7.1. Let k = -16 - -16. What is the closest to k in j, 2\/7, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 20 = 18*d. What is the second biggest value in d, 5, 0.4, -14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368683052 divided by -92170763.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 52 = -k, -193*k + 27*k = -3*b - 4497 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 1 (c) -146 (d) 2 (e) 0 (f) 8 (g) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.822016 nanoseconds in minutes?\nAnswer: 0.0000000001970336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - u + 4*u)*(2387 - 253 - 214).\nAnswer: -1920*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/7 - 62*z**2\/7 + 121*z\/7 - 60\/7 = 0. What is z?\nAnswer: 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 1. Let b be i(2). Suppose 0 = 2*j - 5*a + b, j - 2*a + 4 = -1. Let q(g) = -g**3 - 6*g**2 + 7*g + 2. Give q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117084 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Let b = a - -10. Suppose b = 5*s - 8. Let l(u) = u - 4. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*p**2\/4 + 513*p\/2 + 33\/4.\nAnswer: 3*(p + 11)*(31*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2007*x + 2863*x + 2290*x + 3566*x + (4*x + x - 3*x)*(-6 + 3 + 0) to l + j*x and give j.\nAnswer: 10720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4777 - -4778. Is -1912 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -28*t**2. Let c(d) be the second derivative of -d**4\/12 - 19*d. Determine k(c(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -5.45, -0.5, -2\/3 in increasing order.\nAnswer: -5.45, -2\/3, -0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-389784)\/(-160))\/(3\/(-6) + 0). Let s = -4861 - r. What is the common denominator of (-91)\/6 + 2\/2 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (682\/124)\/(19\/(-114)) + -43.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + -4 + 7. Suppose y*b = w - 28, -w - w = 4*b - 106. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3 - 3000*h**2 - 12036*h - 12048 = 0.\nAnswer: -2, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6262 (b) 1\/8 (c) 4 (d) 1\/7 (e) -5 (f) 0 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*i**6 + 2*i**4 + i**3 - 302*i**2 - 2*i?\nAnswer: 17160*i**3 + 48*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -12*h + 376. Let l(x) = -x + 16. Calculate the remainder when h is divided by l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429771 divided by 429771?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28276207.\nAnswer: 28276207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511060 is divided by 1521.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)\/(t\/(t*t*t**33*t)))**31)**(6\/13) assuming t is positive.\nAnswer: t**(3534\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 11*n**2 - 7*n**2. Let q(y) = -y**2. Determine q(v(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81.7 + 82. Let r = -1\/189 - -4\/27. What is the nearest to 1\/7 in -2\/7, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 55090163 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*h**3 + 1972*h**2 + 2501969.\nAnswer: 435*h**2 + 3944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 15*f**2 + 12*f + 19. Calculate r(-7).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*d + 2*d + 2*o, d - 2*o + 8 = 0. Let u = -2 - d. Solve 0*y - y + 2 = u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-180)*3\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**3 + 2*y**2 + 2. Let b = 2408 - 2410. Let d(a) = a**2 + 1. What is b*d(f) + w(f)?\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*(2 - 1\/1). Suppose -24 - i = -s. Let f = s - 23. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-2 + 4)\/(11 - 23). Put j, -2, 521 in increasing order.\nAnswer: -2, j, 521","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-35)\/14)\/(2\/(-4)). Let r = 1 + s. Let w be (12\/(-8))\/(r\/(-4)). Sort -0.2, w, -5.\nAnswer: -5, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*l**3\/5 - 152*l**2\/5 - 28*l - 24\/5.\nAnswer: -4*(l + 1)*(l + 3)*(9*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*p + 68 = 0, 4*p - 5180 + 5234 = -14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-3*o**5 - 5*o**5 + o**5) + (-3*o + 2*o - 3*o)*(-4*o**3 + 2*o**3 + o**3)*(0 + o + 0)*(2 - 1 + 1).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4471 and 0.11?\nAnswer: 491.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772621*j + 188287*j + 414719*j + 782317*j.\nAnswer: 2157944*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -1\/7 (c) 2\/19 (d) -611\/8 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4308*g - 137886 = -1494*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310663 is divided by 532?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.0748?\nAnswer: -0.02992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -242*w. Let j(z) = -2*z**2. What is j(i(u))?\nAnswer: -117128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let x be (-6)\/10 + 15\/25. Let s = x - -2. Let h(w) = -w**2 + 7*w**2 - w**s. Give h(k(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -6744.\nAnswer: 87672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19200916.\nAnswer: 2, 7, 685747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319204 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 - 1229\/7. Let d = -3.2 - 0.8. Let v = 3.9 + d. Which is the nearest to v? (a) -0.4 (b) t (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -23, -55, -111, -197, -319, -483, -695?\n\"Answer: -q**3 - 3*q**2 + 2*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/11, 0.5, 44, 36452?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11\/7, 0, -1.4, -0.61?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51133\/2 at least as big as 25566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32770 by 2.\nAnswer: 16385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 17*d**2 + 16*d. Let z(s) = 3*s**3 + 34*s**2 - 32*s + 1. Let a(h) = 5*x(h) + 3*z(h). Calculate a(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 132, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 142332129 - -4?\nAnswer: 142332131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*q - 26 = -2*b, -2*b + q + 10 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -15. Let r be (-469)\/(-3) - (-4)\/(-36)*3. Calculate the greatest common divisor of r and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/(-270)*(-4)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d + d - 3 + 171*d**2 - 2 - 3*d - 180*d**2. Let s(t) = -3*t**2 - 2*t - 2. Let g = 5 - 9. Determine g*x(k) + 11*s(k).\nAnswer: 3*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*v + 633 = 227*v - 64*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-6)*((-14)\/(-343))\/((-15)\/35)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 9 - 13 + 4.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 - 97*v. Let t(f) = -3*f**2 + 65*f. Let n(c) = 5*l(c) + 7*t(c). Let q(k) = -k**2. Give n(q(u)).\nAnswer: -u**4 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 137.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 a factor of 15045520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + 10*f**2 - 8*f - 1. Let k(a) = 4*a**3 + 15*a**2 - 10*a - 1. Let y(u) = -2*k(u) + 3*o(u). What is y(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 3*t = 32*f - 12, 3*f + 12*t = 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -85*c**4\/3 + c**3\/6 - 405*c - 1. Let t(m) = -2*m**2. Give p(t(n)).\nAnswer: -1360*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 5*m**2 - 2*m. Let i(x) = -x + 7. Let u be i(6). Let j be (-3)\/(-6) + u\/2. Let v be (-4 - 1)*(j - 0). Calculate o(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327700 = 17*a + 20*a + 63*a. Calculate the greatest common divisor of 678 and a.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + x + 2*x = 0, 2*g + 2*x = -2. Let s be (-2 - 2)\/(-2) + -2. Let h = g + s. Let u(w) = -w**3 - 4*w**2 - 4*w - 2. What is u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*v + 206 + 162, 5*r + 5*v - 360 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 12549066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 4*a + 456, 2*u - 227 = 3*a. Let k = u + 52. What is the remainder when k is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -1161*h**2\/5 + 15258*h\/5 - 472\/5 = 0.\nAnswer: 4\/129, 118\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141063 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 6*j + 26970 = 0. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*a + 3, -2*f + 4*a - a = 2. Is 1 + -4*3*f 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 t when two letters picked without replacement from tttyytyttttytt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 49.8 times 5\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8691199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018266873?\nAnswer: 7, 31, 331, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -32 - 32. What is the second biggest value in 12, n, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-153) - (-141720)\/(-636768). Which is bigger: x or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6203 times 6\nAnswer: -37218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - (15 + -23)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 3 - (-1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y + 1528 = 2368. Suppose 0*p - 5*p - 4*i - 62 = 0, 2*i = -6. Let v = p - -80. What is the highest common factor of y and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + z = 4*z - 12, -3*z + 12 = 0. Suppose 6 = 5*i - 9. Suppose -2 = i*s + 10. What is the third smallest value in s, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 + 2)*(-2*p**2 + 2 - 2)*(p**3 - 4 + 4).\nAnswer: 20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 2, 10 in increasing order.\nAnswer: 2, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 6*d - 3. Let a be r(-5). Let g = a + 14. List the prime factors of (g\/5)\/((-9)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 6, 0.83, -3, -46 in ascending order.\nAnswer: -46, -3, 0, 0.83, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -141*p + 5498. Determine f(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8309630 and 13057990?\nAnswer: 91405930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1465 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, f: 5}. Give prob of picking 3 f.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/h**(-1\/7) assuming h is positive.\nAnswer: h**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Let i = 196\/303 - -2\/101. What is the nearest to i in x, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kff. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 291.1412 centuries?\nAnswer: 349369.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -283, -287, -303, -337, -395, -483?\n\"Answer: -p**3 + 3*p - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20ee7 (base 16) in base 14?\nAnswer: 3722b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 591 (base 14) to base 8\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-632100)\/8 + -3 + (-5)\/(-10). Let v = b + 12642333\/160. Find the common denominator of -17\/176 and v.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8983280 rounded to the nearest 10000?\nAnswer: -8980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -u - 9, -21*o + 17*o = -2*u + 6. Is o < -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 9. Let d(c) = -c + 1. Let j(t) = 208*t - 3 - 70*t - 63*t - 68*t. Give s*d(y) + 2*j(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 58*n**2 + 57*n + 16. Let y be i(-57). Let m(c) = -2*c**3 - 17*c**2 + 8*c - 1. Let j be m(-9). Calculate the greatest common factor of y and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001394649 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00847297 rounded to five dps?\nAnswer: 0.00847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4*l - 243*h**2*l**2 + 12*h*l**2 + 20*h*l - l**2 wrt h?\nAnswer: -72*h**2*l - 486*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -100398 <= -100398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-10)\/5*-3. What is the smallest value in -21, 2, v?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 8, -c - 289 = l - 4*l. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - 11*h**2 + 11*h - 14. Let p be g(4). Sort p, 7, 3 in decreasing order.\nAnswer: 7, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.84 + 1987.16. Which is smaller: -1\/2 or z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -11, 3, 1.\nAnswer: -25, -11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 29\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -40*w**2 - 37*w**2 + 73*w**2. Let q(p) be the second derivative of p**6\/180 + p**3\/6 - 2*p. Let c(s) be the second derivative of q(s). Give z(c(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1286 - 1297. Let r(i) = -i + 7. Calculate r(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -1\/2*n**2 + 3\/20*n**5 - 1 + n - 1\/3*n**3 + 1\/12*n**4. Let x(d) = d**3 - d. Calculate 2*g(a) - 4*x(a).\nAnswer: 2*a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:38 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + -3 + 4 - -4. Let l be (1*-3)\/(1 - v). What are the prime factors of (15\/l - -3) + 40 + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 131 = -5*j + w, -5*w = 5*j - 4*w - 134 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ca - -b7cd?\nAnswer: b8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65a665 (base 11) to base 13.\nAnswer: 2ab757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(55)\/sqrt(5) + sqrt(11) + 6*2*sqrt(11))**2*-4 - (-3*sqrt(132)\/sqrt(4))\/(3*sqrt(300) + sqrt(300)).\nAnswer: -5324 + 3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 18 = 21*g - 25*g, g + 10 = -5*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14 + (-270)\/70?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 71\/((-2)\/12 + (-10)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1920 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose -u = -5*x + 214, 0 = 3*x + 2*x - p*u - 222. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y. Let t(s) = -7*s - 1. Let o(c) = -6*r(c) - 3*t(c). Let q(u) = -326*u + 4572. Let v be q(14). Let h(d) = d + 1. Give v*h(n) - 3*o(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 3*s + 17. Let q be 118\/(-15) + (-18)\/135. Is r(q) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*h - 10 = 0, h + 11 - 67 = -3*r. Calculate the smallest common multiple of 34 and r.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 2. Let b be p(5). Let r = -105.29 + 104.79. Sort r, 2\/7, b, 0 in decreasing order.\nAnswer: 2\/7, 0, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/162 and 4\/(-14) - (-2360)\/1008?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723 - 303. Let c be s\/(-14) + 1*(2 - -1). Which is greater: -22 or c?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + a. Suppose -p - p + 4*n - 2 = a, 2*n = 4. Suppose p*f - 4*f + 20 = 0. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123066 = -32*b + 26*b. Is b\/(-27) + ((-2)\/(-6) - 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*v**2 + 4*v - 4*v - 521*v**2 + 159*v**2 to w + j*v**2 + p*v and give j.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 70. Let l(b) = 152*b**3 - b**2 - b + 2. Let n be l(p). What is the greatest common divisor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -313873.9306.\nAnswer: -313868.9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 407.199136 to two dps.\nAnswer: 407.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24528 - 6007843?\nAnswer: -6032371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-10) - (-148)\/185. Let z be (-5 - -2)\/(6\/(-20)). Solve -3*x - x - z = 5*m, 5*x - r*m = -29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/122 + 23857\/610. Let x = a + -2538\/65. What is the third biggest value in x, 1\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995874 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1480\/(-222)*(-4)\/20*18\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w**2 - 76*w - 979. Is 44 a factor of b(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226353 (base 9) to base 7.\nAnswer: -1104111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2 (b) 3 (c) -349 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 507*h**4\/2 + 110253*h**3\/2 - 85260*h**2 + 32850*h.\nAnswer: 3*h*(h + 219)*(13*h - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**2*k**3*l**2 + 2*h**2*l**3 - 2*h**2*l**2 - h*k**2*l**3 + 31171*h*l + 53903*k**4*l**3 + 4*k**2*l**3 wrt k.\nAnswer: 48*h**2*l**2 + 1293672*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*q = 99 - 519 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -18*w**3 + 9*w**2 - 20*w + 14. Let y be s(-8). Let q = 398697\/40 - y. Calculate the common denominator of -81\/8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 96*o**2 + 6*o - 113. Let g(v) = 4*v - 143. Let b be g(38). Is u(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*i - 6, 3*i = g + 2*g - 6. Suppose -i*l = -11 + 17. Sort 5, l, 3.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-20*a - 19*a + 23*a)*(7*a + 2*a + 10*a) + 201*a**2 - 61*a**2 - 82*a**2 as k*a + i*a**2 + q and give i.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/y**(-7)*((y*y*y**(3\/5))\/y)\/((((y\/(y\/(y\/y**(2\/5))))\/y)\/y)\/y))**(-14) assuming y is positive.\nAnswer: y**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 13 + -2 + 1 + -1. Let q(z) = -z**3 + 11*z**2 + 14*z - 7. Give q(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9194.\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 23 = 3*y + y, -2*y = -l + 1. Which is the biggest value? (a) -0.4 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*s = -96, -6*v + 204 = -v - 4*s. Is 43 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*t + 7*t. What are the prime factors of 10\/20 - 31\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. Let r = u - -7. Suppose r*o - 28 = -4. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 + -277. Let i = -82 + q. Is 35 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 1650 - 257. Suppose -3*g + 122 = -2*h - 407, -g = 5*h - n. What is g rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:09 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 943 = 81*j - 1244. Let k(p) = -p**2 + 29*p - 58. Calculate k(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 67, 1 in ascending order.\nAnswer: 1, 3, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -179766*l**2 + 153756 wrt l.\nAnswer: -359532*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93449, 186079, 278707, 371339, 463981, 556639?\n\"Answer: h**3 - 7*h**2 + 92644*h + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let l = 8 + -6. Let c(s) = -l*s + 3 + 4*s + s. Let r(z) = -c(z) - 6*d(z). Differentiate r(b) with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 11358?\nAnswer: -56790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64969662 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 775316921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, z: 1, p: 3, a: 2}. What is prob of sequence af?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5424 and 1582?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 2*d + 59, -9974*d + 6 = -9977*d for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 46*c - 180. Let z be w(-4). Let h = z - -368. Solve h*t + 0*t = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28187*a**3 - 28198*a**3 - a**2 + a**2.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-3 + (8 - 4) - 0) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 5*j + 31. Determine r(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 13, -5504, 2.7, 0.5 in descending order.\nAnswer: 13, 2.7, 0.5, -0.6, -5504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 10*y + 10. Let t be b(9). Suppose 0*r + f + 4 = 4*r, -r + t = -f. Sort -1, r, -3.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 + -127. Let v(g) be the first derivative of 3*g**2\/2 - 8*g - 3. What is the remainder when x is divided by v(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 201 - 891. Let d = -310 - y. Is d a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1088))*-6)**2.\nAnswer: -1728*sqrt(17) + 39492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 3*y + 2*l, -3*l + 2 = -5*y. Suppose -116 = -4*z - n, -y*z + 5*n - n = -58. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 150917 from 673.\nAnswer: -150244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 284 = -2*k - 4*l, l = -5*k + 674. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 45\/4 - 183\/8*z + 3\/4*z**2 = 0.\nAnswer: 1\/2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55139 is divided by 18376?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/12)\/(3\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 20*n - 4. Suppose -6 = n*m - 4*m. Suppose 3*h - 92 = -5*y + 37, -m*h + 141 = y. What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 0 + 11*w + 59*w**3.\nAnswer: 59*w**3 + 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -3*v + 4*a + 89, 11 = -v + 5*a for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:42 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 333594263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217522189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5 = -5*c, 4*p = 4*c + c - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50.85 + -52. Round d to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9596184 is divided by 288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 272\/106713 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (-8 - 3 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 26 + 0)*(-i + 3*i + 0*i) + 2*i + i - i + 0*i - 2*i + i + (-2 + 5 - 1)*(-2*i - i + 2*i) + i + 5*i - 5*i - 9*i + 5*i + 0*i as c + s*i and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 4*m**2 - 2*m**2 + (3 - 2*m - 3)*(-m + 2*m - 3*m) + 287*m**2 + 46 - 173*m**2 - 127*m**2 to y*m**2 + k*m + j and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 311, 472, 633?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 893045*f**3*n*s + 3*f**3*s**2 - 3*f**2*n*s + 22*f**2 - f*n*s**2 + 3314*f - 3*n*s**2 wrt f.\nAnswer: 5358270*n*s + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(5\/15). Let m be g*1\/(-6)*-2. Which is the closest to m? (a) 0 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 36920\nAnswer: -7384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -739*g**2 + 1002*g**2 + 2816*g**2 as m + v*g + x*g**2 and give x.\nAnswer: 3079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -1\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1140 and (-177 + 213)\/(1*6\/4)?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2471, -2462, -2447, -2426, -2399, -2366?\n\"Answer: 3*w**2 - 2474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.04339, -4.\nAnswer: -4, -1\/2, -0.04339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41755 + -29481. Let y = d - 8489. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9246 and 10737.\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(5\/10*1\/1). Let y be 72\/p + 2*58\/56. Suppose -8\/7*o - y*o**2 - 4\/7 = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 7*q - 19)*(-2 + 5 - 2)*(q**2 + 2*q**2 - q**2).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2171936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/(-7)) - 3. What are the prime factors of (-1 - 2) + 96\/s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**4 - 2400087*y**3 + 12859816*y**2 wrt y.\nAnswer: 48*y - 14400522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:48 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*s**3 - 3 + 384*s**3 - 251*s**3 + 300*s**3 + (2*s**3 - 4*s**3 + 3*s**3)*(4 - 1 - 1) to h*s**2 + i*s**3 + n*s + r and give i.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 0*z, -2*z - 11 + 9 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 9:14 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 148, 118, 56, -50, -212, -442?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 3\/5 (c) 35 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*j + 22. Let q(d) = -d**3 + 4*d**2 - 4*d - 1. What is the common denominator of q(5) and j\/(-2)*6\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16260 divided by -6\nAnswer: -2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 7*z**2 + z + 11. Let b be q(7). Let s = 37 - b. Let u = s + -8. Calculate the remainder when 20 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23642 is divided by 1285.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-14)*s*s\/(s*s*s**(2\/39)*s*s*s))**(-7)\/(s\/(s\/(s*s\/s**7))*s*s*s**2*(s\/(s*s*(s\/(s*((s**(-4)\/s)\/s)\/s))\/s))\/(s*s**(-4\/7))) assuming s is positive.\nAnswer: s**(32975\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p + 46. Let v(f) = 227*f - 46 + 182*f - 416*f. Determine 6*o(j) + 5*v(j).\nAnswer: j + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5717\/12660 - 1\/633. Put -2, z, 2\/5, -1 in increasing order.\nAnswer: -2, -1, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p**6 - 26*p**3 + 367*p**2.\nAnswer: 600*p**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 13060 in ascending order.\nAnswer: 0, 2, 13060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 5*p - 38340 = 0. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1782)\/1386 + (2 - 0).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.8.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - -2)) + -1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -46, -2\/3, -5.5, 17 in decreasing order.\nAnswer: 17, -2\/3, -3, -5.5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -489, -2634, -8459, -19806, -38517, -66434, -105399?\n\"Answer: -307*g**3 + 2*g**2 - 2*g - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 39*l - 8*l**4 + 15*l**4 - 8*l**4 + 5 + 21*l**2 to the form s*l**2 + j*l**3 + t + z*l + w*l**4 and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 - 20 - 22)*(-1 + w**2 + 1) + (3*w - 2*w + w)*(w + w + w).\nAnswer: -182*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 78\/923 + (-3031706)\/(-493947)\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(35) + (1*sqrt(420))\/sqrt(12))) + -4*sqrt(175)\/sqrt(5))\/(sqrt(21)\/(sqrt(30)\/sqrt(10)*6)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 + 8*i + 4. Let j be o(-3). Let k = 41 + j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -8)*(-10)\/25. Let o = s + -2. Let a(r) = -r. Let f(m) = -2*m - 2. Let z(w) = -w - 1. Let d(b) = -2*f(b) + 3*z(b). Calculate o*a(l) + d(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c - 11. Let j(v) = -5*v + 5. Let h(a) = 13*j(a) + 6*t(a). Let w(p) = -p**3 + 4*p**2 + 4*p + 6. Let i be w(5). What is h(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217372 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.137432 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -99 - 34) + (12 - -7)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3 and 23\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 91\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 31*c - 13. Is z(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 213? (a) -2\/11 (b) -24 (c) 1\/3 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*a - h + 4, 3*a - 2*h = 47. Suppose 12*m + 255 = a*m. Suppose 0 = -3*o + m + 311. 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: Does 14 divide 256858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 30 = -16*h. Sort -3, -9, h in increasing order.\nAnswer: -9, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txidcviccccvv. What is prob of picking 1 x and 2 i?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeoteffedqfttfe. What is prob of sequence fe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012 - -0.03049?\nAnswer: 0.02929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 32. Let f = d + -17. Is f >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2653 - -4695. What are the prime factors of p?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5921 and -0.4.\nAnswer: -0.9921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 smaller than -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*c = -0 - 3, 5*o = c + 4. Let j(k) = -k**3 + 6*k**2 - 6*k + 5. Let h be j(5). Solve h = v - 2*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26166800 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7757, 13974, 20191, 26408?\n\"Answer: 6217*t + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 5*n + 2. Suppose -25 = -o - 22. Determine d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4 - 0) + 0 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2356*d - 3*d - 175*d = -8712 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 12*n - 15. Let w be l(10). Suppose 3*q - w*u - 45 = 51, 3*u = -q + 46. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/4)\/(-1 - -2). Let x(s) = -7 + d*s - s + 8. Calculate x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - s - 8 = 0, 9*s = 7*s + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**43*b**3\/(b\/b**(-3\/4)))\/((b**(-2\/3)*b*b*b*b)**(-36))**(-10) assuming b is positive.\nAnswer: b**(-4967\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2448) - (0 + sqrt(2448)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (22 - ((0 - -6) + -3)) + 0 + -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 4)\/(-1 + 2). Let h = i - -1. Suppose -s - 3*q = 2*q - 15, 36 = h*s + 4*q. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 27\/53245?\nAnswer: 27\/53245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22 and 0.17?\nAnswer: 22.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:23 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 12. Is p(16) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*l**5 + l**2 + 204*l wrt l?\nAnswer: 4100*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 2*i + 8, 2*a = -4*i + 16. Let l(s) = -1 - s + 2 + s**3 - 1 + 3. Let y be l(a). Sort 1, y, 2 in decreasing order.\nAnswer: y, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e3 (base 16) to base 6.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312230011 (base 4) to base 3\nAnswer: 102101021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 508530 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.058, -2, -8\/11.\nAnswer: -2, -8\/11, 0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143741?\nAnswer: 13, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011102 + 1211112222?\nAnswer: 2010201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-17)\/(-3). Let y(a) = -6*a + 4. Let t be y(o). Suppose 1025 = -84*f + 20*f - 45*f - 1591. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4438995, 17756076, 39951211, 71024400, 110975643, 159804940?\n\"Answer: 4439027*r**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*k - 82134*k**3 + 2350*k - 1176*k.\nAnswer: -82134*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -1163?\nAnswer: 33\/1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**7\/840 - 29*o**6\/360 + 9*o**5\/20 - 8*o**3\/3 - 11*o**2\/2 - 196. Let h(t) be the third derivative of s(t). Factor h(x).\nAnswer: x*(x - 27)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 k when three letters picked without replacement from kskkkkkkkwbkskxkkb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 2. Let g be o(2). Suppose 106 = 5*r - g*p, 6*p = 2*r + 4*p - 42. Let j(l) = l**3 - l + 65. Calculate the remainder when j(0) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 14*b + 15. Let g be v(-15). Suppose 3*r - l - 603 = g, -l + 397 = r + r. Does 50 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38057030?\nAnswer: 2, 5, 11, 277, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 6)*(13 - 11). Let p be 18\/q*(-4)\/3. Solve n - 1 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10568154299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -288291.85 rounded to the nearest one hundred?\nAnswer: -288300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*k - 140*k + 176*k - 2920 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43915 is divided by 67?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**5\/60 - o**4\/6 + 2*o**3\/3 + 3*o**2 + 3. Let u(n) be the second derivative of t(n). Determine p, given that u(p) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19ce + 3?\nAnswer: 19d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 370*p**2 - 118*p - 503. Is g(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2516344 less than -2516345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52898024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 + 325. Solve -n*j = -5*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141174 divided by -47058\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2))**2 + -2)*2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37335.5 + 37335.5399989. Let t = -0.04 + z. What is t rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 53, 84, 127?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2. Let h(f) be the second derivative of 706*f**3\/3 + 45*f - 9. Calculate x(h(s)).\nAnswer: -5981232*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2. Let v(u) = -u. Let z(y) = -y - 5. Let w be z(-7). Let h(a) = a**w - a - 3*a + 9*a. Let d(l) = h(l) + 5*v(l). Determine d(r(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1108416 or -1108413?\nAnswer: -1108416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, j: 2, b: 1, i: 1}. Give prob of sequence jjie.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -522 + 537. Let j be (-45)\/d + 5\/((-5)\/(-6)). Solve -4*k = -j*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658660 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: What is next in -398, -789, -1206, -1661, -2166, -2733?\nAnswer: -3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 26*m**2 + 7*m - 19. Let q be z(-9). Let d(v) = -v**2 + 2*v. Let i be d(2). Put -3, q, i in ascending order.\nAnswer: -3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1529, 1, -1 in descending order.\nAnswer: 1529, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -76 + 71. Suppose -2*b = -b - w*h + 2, -5*h + 53 = -4*b. Let x = b + 20. Solve -n + 2*t - 3 = 0, -x*n - 7 + 1 = -3*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + m**2 + 0*m**2 + 1 - m**3 - m. Is 16 a factor of q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 22*a - 492 = 0. What are the prime factors of (a\/6)\/((-4)\/(-8))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 132. Let o = 86 - l. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783472289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:28 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158378163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -474*y - 468*y + 940*y. Let x(p) = -2*p**2. Let s(h) = 15*h**2. Let o(a) = 3*s(a) + 20*x(a). Give i(o(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1673*n**2 - 3350*n**2 - 8*n**3 + 1676*n**2.\nAnswer: -8*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((-60)\/(-72) - (-3675)\/(-5850))?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1535 in 0.4, 0.5, -22, 0.02?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**4\/z)\/z)\/(z*z**(2\/13)\/z)*z**(-3)*z\/z**5 assuming z is positive.\nAnswer: z**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64929214 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 175*q - 174*q. Suppose -2*l + 5*l - 60 = 0. Suppose -q*s + 4*s + l = 0. Is -0.1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23089305203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 527.9088 - 646.87. Let i = d + 119. What is i rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - 0) + 1 - (8 + -33 + -33).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 2*a**2 + 3*a + 2. Let k be m(-2). Suppose k = 5*w - w. What is the highest common factor of 81 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 greater than 172512\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4 + 8646*g**3 + 124200*g wrt g?\nAnswer: -24*g**2 + 51876*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 + 7*u - 6. Let w be q(1). Solve -5*n + 3*n = 6, -5*n = m + w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3478, 6844, 10196, 13528, 16834?\nAnswer: 20108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232798 divided by 6?\nAnswer: 372133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/16146*-57 - (-12)\/(-27).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -22*h. Let l(d) be the first derivative of -d**3 + 73. Determine l(y(t)).\nAnswer: -1452*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s = 3*c - 53*s - 56, 68 = 4*c - 4*s for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 606 - 606. Which is the closest to -3\/2? (a) -1\/3 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 189?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1 - -6)*1. Let w(y) be the second derivative of y**4\/12 - 4*y**3\/3 + 2*y**2 + 264*y. Determine w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/1*33*(-33)\/(-2178).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -627395*x. Let c(l) = -6*l - 5. Give c(h(y)).\nAnswer: 3764370*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 727572 and 14.\nAnswer: 5093004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0.1, -3\/7, -3 in descending order.\nAnswer: 2, 0.1, -3\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:10 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + 1\/(-2). Let o = -373\/682 + 1\/682. What is the nearest to 0.2 in o, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2945784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 18*u + 77. Let s be j(-4). Solve -s*g = -3*d + 29, d + d = -g + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 16310*d - 32640.\nAnswer: 5*(d - 3264)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 861 - 4863 = 0. What is the remainder when a is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 13*v - 34. Is g(-20) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 6*l + 12*l + 76. Sort 8, l, -18, 0.4, -2 in descending order.\nAnswer: 8, 0.4, -2, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, -3, 11 in ascending order.\nAnswer: -4, -3, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -155970 <= -155973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11456083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1817, 1840, 1877, 1928?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966570009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1374 and 149\/876.\nAnswer: 200604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 + u**3 + 2*u - 1. Let k be z(-3). Solve g - j - 1 = 0, -2*g + k*j - j = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32\/119 - -7\/17. Is 1 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5024875081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3611 is divided by 1801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d**2 + 4*d**2 - 54*d**2.\nAnswer: -83*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**3 - 5*p**2\/2 + 4. Let l(f) = 15*f**2 - 26*f. Let v(s) = -11*b(s) + 2*l(s). Find the second derivative of v(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20453176 divided by 2\nAnswer: -10226588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2987992*t*z - 2947652*t - 1 wrt z?\nAnswer: 2987992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 231, 167, 105, 45, -13?\n\"Answer: l**2 - 67*l + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6418173595\nAnswer: 6418173598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/12 - (-30)\/(-8). Let o = x + 1. Let k = -0.7 - -1. Which is the third biggest value? (a) o (b) 1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/3 + 25871381*d\/3 - 25871380\/3 = 0.\nAnswer: 1, 25871380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 7 - 31. What is the second derivative of -3*f**2 - 8 - 9 - 8*f - r*f**3 + 3*f**2 + 18 wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4227319 (base 10) to base 12.\nAnswer: -14ba447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4408*v**3\/3 - 2124650*v**2\/3 - 256018156*v\/3 + 116162.\nAnswer: -2*(v + 241)**2*(2204*v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -774*b - 58799. Determine s(-76).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 9) + (42 - 42) - (0 - -9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101001111101110001 (base 2) to base 9\nAnswer: -281707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 377 - 377. What is the nearest to 4\/9 in 0.3, t, -1\/6, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:34 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -26*f - 13. Let c be d(-10). Suppose 0 = -2*m - m + 5*s + c, 0 = 3*m - 3*s - 249. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*o = 2*o - 96, -2*c + 99 = 5*o. What is the lowest common multiple of 35 and c?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**2 + 6*w**2 + 2 + 0. Let n be r(2). Which is the nearest to -1\/2? (a) -2 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28657537.\nAnswer: 73, 392569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 2:42 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*a = -36. Let n(k) = k**2 - 6*k - 3. Give n(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*s + 4*i, -2*s + 3*i + 45 = s. Suppose -4*z + 5*u + 51 = 0, -z - 3*u - 1 = -s. Calculate the remainder when 24 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 12*v**2 + 12. Let k = 3 - 15. What is the tens digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - 2*k**3\/3 - 10*k**2 - 418*k + 2. Give z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 5*m - 5. Let o(q) = 3*q - 7. Let s be o(3). Let z be y(s). Suppose -i + 3 = z. Solve i + 6 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -2696.432 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*g + 22 = 0, -2*k - g - g = -36. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2\/7))\/c)\/(c*c\/(c*c**(1\/5))))**(-21\/2)*c**2*c**(-2\/25)*(c\/(c*c**(-1)\/c))**13 assuming c is positive.\nAnswer: c**(833\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 138 - 255*l**2.\nAnswer: -255*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6114, -12250, -18406, -24588, -30802, -37054, -43350?\nAnswer: -49696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -80. Let h(v) = 3*v**2 - 29*v - 9. What is the units digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -153*l**2 + 16*l. Let t(j) = 127213*j. Calculate t(c(k)).\nAnswer: -19463589*k**2 + 2035408*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 6*w + 8*w, -4*q - 2*w = 8. Solve 0 = -5*z - q*t - t - 27, t - 18 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(1542\/6682)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3*r - 1. Let b be x(4). Suppose 0*q = -q + 2. Suppose q*y + y - 9 = 0. Sort 5, y, b.\nAnswer: b, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 15*s. Let l(u) = u**2 - 2*u. Let g(f) = -2*a(f) + 15*l(f). Let r = 91 + -69. Let n(z) = -r*z - 19*z + 37*z. Determine g(n(m)).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = 3*p - 0, 4*d - p - 8 = 0. Let c be ((-2)\/65)\/(d\/(-5) + 0). What is the closest to -25 in -2, -0.5, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 16*s - 26. Let z be r(7). Suppose -7*l - z = -324. Let c = 67 - l. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-14)*-5*6\/45. Factor -2\/7*l - 2\/7*l**2 + b.\nAnswer: -2*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-6 - 3 - 2)*(q + 2*q - 2*q).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -55296\/5 - 1158\/5*h**2 + 6\/5*h**3 + 56448\/5*h = 0. Calculate h.\nAnswer: 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*z + 5*q + 7 = 142*z, -z + 5 = -3*q. Solve -u - 2 = -f, z*f - 10*u + 8 = -12*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u + 37 = -26*u + 70 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 48 + 52. Suppose -i = 4*f + 12. What is the tens digit of (f\/3)\/((-4)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12042769 by -4.\nAnswer: 12042769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + o + 10, -5*o + 19 = 2*r - 4*r. Let z(p) be the second derivative of -p**3\/6 + 2*p**2 - 3*p. What is the units digit of z(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 72*q**2 - 374*q + 39. Determine r(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (100\/480)\/(10\/18). Put q, -93, 2 in decreasing order.\nAnswer: 2, q, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let k be v(-2). Let s be (-2)\/8 + 2\/8. Let t(z) = z**2 + z + 8. Let x be t(s). Solve 5*a = q - k, 3*q + x = -0*q - 5*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 362 - 361.984. Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(48) + 6*sqrt(48)\/sqrt(4))\/((1*sqrt(600) + sqrt(600))*-1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 54*z - 26. What is r(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171.14 - -171.44. Let k = -0.2 - 3.8. Which is the third biggest value? (a) -2 (b) k (c) -0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c98 + 23207?\nAnswer: 2223c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 27*z**8\/56 - 2*z**4 - 28*z. Find the third derivative of n(w) wrt w.\nAnswer: 3240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1152 and 41\/168.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195895 divided by -5.\nAnswer: -39179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 98. Solve 0 = -0*n - w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -69. Suppose 25 = -5*m, -4*p - m + 4*m + 59 = 0. Suppose 4*f + p = 31. Solve -l*z + 2 = f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*l - 28, 4*k - k - l = -16. Let c = 108 + -108. Let j be k\/(-12)*c + 5. Sort 0, j, -1 in decreasing order.\nAnswer: j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let u(q) = -10*q + 162. Let o(z) = 3*z - 54. Suppose -1 = 19*f - 39. Let s(r) = f*u(r) + 7*o(r). What is s(x(i))?\nAnswer: i**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i**4\/2 + 315*i**3 + 971*i**2\/2 - 1188*i - 1694 = 0. Calculate i.\nAnswer: -11\/7, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59176873303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-6*4*sqrt(13) + sqrt(13) + sqrt(13) + 2 + sqrt(13) + 3*sqrt(13) + sqrt(13)).\nAnswer: -60 + 510*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**8\/50400 + o**7\/4200 - o**6\/900 - o**5\/20 + 3*o**2. Let x(p) be the third derivative of q(p). Factor x(u).\nAnswer: -2*(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32705579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 6. Let u be n(0). Let d be ((-27)\/630)\/(u\/(-8)). Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*u + n = -17, -2*u + 2*n = -16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 + -224. Let u(g) = g**3 + 43*g**2 + 83*g + 43. Let j be u(v). Solve 5*a + 3 = -j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8446 (b) 0.5 (c) -0.1 (d) 2\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4869*t. Let v(x) = -21*x. Calculate v(p(n)).\nAnswer: 102249*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 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 m = -0.1 - 0.7. Let p = m - -0.4. Let d = p + 0.6. Which is the closest to d? (a) -1 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359 and 10.\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 + 0 = -4*m, 2*m + 230 = -45*r + 105*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and ((-392)\/129 + 2)*84\/224?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5317 and 736609.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11431430355+-0.16672\nAnswer: -11431430355.16672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (9 - 4) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -7. Is 20 a factor of (-234)\/(-12) - 1\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 9 = -u, 0 = -3*u - 6*j + 2*j + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232735443151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -t + 5*j, 25 - 4 = 5*t - 3*j. Let s(o) = 5 - 4*o**2 - 7*o**t - 3*o + 8*o**3 - 17. Let w be s(5). Let l(i) = 4*i**2 - 3*i - 2. Determine l(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 3)*(6*n + 13 - 4*n + 10).\nAnswer: -20*n - 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -11\/3, 8, -10099?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 14*f - 9. What is q(10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939 (base 11) in base 3?\nAnswer: 10101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 7 (c) -3\/4 (d) 42\/11 (e) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -3*g - 666, 177*f - 5*g + 178 = 180*f for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2. Let w(o) = -27*o + 8. Give l(w(r)).\nAnswer: -3645*r**2 + 2160*r - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(162)*-2*1 + 1)**2.\nAnswer: 72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 27. Is 17 a factor of s\/(-4)*((-348)\/(-2))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -912421, -912432, -912443, -912454?\n\"Answer: -11*x - 912410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15413242 (base 6) to base 7.\nAnswer: 4433615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, e: 2}. What is prob of sequence hhh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -13 in descending order.\nAnswer: 5, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17681?\nAnswer: 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (26 - 9)) + -1 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63.78 - -0.22. Let r = p + -62. What is the closest to 1 in r, -1\/5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - 4 - (-77 - -63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976608 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-6 - (1 + (15 - 5)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 3450, 10315, 23046, 43443, 73306, 114435, 168630?\nAnswer: 237691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = 40. Suppose -2*d - t = 0, -2*h + 4 = h + 2*d. Suppose 0 = -h*q + q + 150. Calculate the greatest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001010 + -100?\nAnswer: 10111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-225)\/10)\/(-9). Suppose -4*k = a*w + 23, -41 = 5*k + 2*w - 8. Let g be (-20)\/6*(-4499993 + k). Round g to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -14 + -1 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/320 and 1 + (-1)\/8*2 + (-994)\/672.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -19, -27, -33, -37, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11177\/15 - 745. Let 2\/15*y**3 - 4\/15*y**5 + 2\/5*y**4 - 2\/5*y**2 + 0 + j*y = 0. Calculate y.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177986747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 184196227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27345?\nAnswer: 3, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = g - 16. Let q be (g\/10)\/((-50)\/6875). Round q to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let y(f) = 76*f**2 - 9*f**2 + 0*f**2. Calculate h(y(w)).\nAnswer: -8978*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 2, u: 1, v: 6, h: 5}. Give prob of picking 2 d and 1 h.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-8) + (-4)\/16. Let t(w) = -w**3 - 4*w**2 - w + 2. Let n be t(f). Let i(o) = o - 2. What is the units digit of i(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = 5*v, 1243 = -3*a - 2*v. Round a to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - -1101111100100110000101101?\nAnswer: 1101111100100110000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 - -214. Suppose 3*m - 7*w = -2*w + u, 4*m + 5*w - 40 = 0. Solve -5*p - 5 - m = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iijiuiuuijiiuiii.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -27. Suppose -h = -v - 14. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 6*b + 3. Let r be -1 - (20\/2)\/2. Let j be y(r). Suppose 3*v + 0 = j. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16395 in -0.1, -0.08, -25?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117726408 rounded to three dps?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1466417716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 10*o**3 - 34 - 44 + 104 to the form r + p*o + g*o**2 + k*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4623 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -9*h - 120. Suppose -6*j + 4*j = 4. Let p be 2 + (-46)\/(2\/j). Calculate the greatest common factor of h and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z + 6*z - 88*z**2 - 13*z + (4 + 3 + 1)*(z**2 - 2*z**2 + 0*z**2).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 394*f + 1231. Let b(n) = -7*n**2 - 919*n + 2872. Let r(z) = -10*b(z) + 23*l(z). What is the first derivative of r(h) wrt h?\nAnswer: 2*h + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13496 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 20*r - 79. Let t be x(6). Calculate the common denominator of 101\/2 and 1113\/(-240) - (100\/t)\/(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2295\/(-68))\/(-9))\/(57\/(-76))*(-33)\/(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2116, 4209, 6278, 8311, 10296?\n\"Answer: -2*a**3 + 2107*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 130\/92 - (-5 - -1)\/(25 - -21)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 498 + -712. Let l = 218 + t. Solve -3 = l*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - 30231301?\nAnswer: -30231210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 16*v + 22. Calculate the lowest common multiple of 21 and c(22).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 9176.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1417 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.867 - -2.767. Which is the second biggest value? (a) -17 (b) m (c) 0.1 (d) 0.027\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -13. Calculate the remainder when 24 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121202 (base 3) to base 6.\nAnswer: -5245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.2. Which is the nearest to j? (a) 0.1 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-10 - -2) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 5)\/(2\/2). Suppose t = -3*m - 3 + 6, 2*w = -m + 5. Solve -2\/3*h**w - 2\/3*h**3 + 2\/3*h + 0 + 2\/3*h**4 = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:24 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -2\/5, 1, -7549, -2, 24\/7 in increasing order.\nAnswer: -7549, -2, -2\/5, -3\/8, 1, 24\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -761*q - 208. Let z(x) = -762*x - 166. Give -4*r(h) + 5*z(h).\nAnswer: -766*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2958 = -2*z. Suppose -6*n - z = -23*n. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -104*n**2 - 295*n + 298. Give c(1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -109\/1791?\nAnswer: -109\/1791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 1 - 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181471 and 27857?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4 - 534*u**3\/5 + 64407*u**2\/5 + 36944*u - 39516\/5 = 0.\nAnswer: -178, -3, 1\/5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: (-130)\/39*6\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3 + 250722*n**2 - 344522 wrt n.\nAnswer: -3*n**2 + 501444*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f + 168 + 186 + 179 - 535.\nAnswer: 17*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3 + 773458*j**2 - 8*j - 3093832 = 0?\nAnswer: -386729, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426807, 1706855, 3840267, 6827043, 10667183, 15360687?\nAnswer: 20907555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 42*s + 31. What is the lowest common multiple of p(11) and 36?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42990446192 - -144.1.\nAnswer: -42990446047.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 15, -66.\nAnswer: -66, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117759, 235517, 353275, 471033?\n\"Answer: 117758*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 - 14*i + 3. Let c be l(2). Suppose 28 = 3*w - 3*n + 5*n, -c*n = 2*w - 12. Solve 9*z - 15*z - w = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*o. Suppose 0 = 2*p - k - 10, o*k - 5 = -3*p + 3*k. Let m = p + 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/43? (a) -1 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -12, -48, -122, -246, -432?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.24 - -25.24. What is the nearest to 0 in 0.5, 2\/9, x, -0.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -98 (b) -4 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -224.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -10*(-2)\/5*2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1847\/2 + 962. Let n = 32255\/24 + -4024\/3. Calculate the common denominator of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -6, 5\/3, 31, -7, 2\/7, 42?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*f**2 - 679*f**2 + f + 18*f**3 - 6*f**3 + 17*f**3.\nAnswer: 29*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 47731376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 62*s + 115. Let w(z) = 1. Let x(a) = -p(a) + 5*w(a). What is the first derivative of x(g) wrt g?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.87 or -1\/109?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -146172 at most as big as -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - (7 - (-13 + 10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -20167*y**2 - 67*y - 134. Let z(m) = -1494*m**2 - 5*m - 10. Calculate 5*t(a) - 67*z(a).\nAnswer: -737*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70478 divided by -262.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 6*n - 9. Suppose -3*q + 40 = 5*l, 4*q = -l + 5*l. Let m(i) = 0*i**2 - 8*i**2 + 7*i**2 + 3 + q*i. Let u be m(4). What is v(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5874 and 2136?\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3\/2*u - 3*u**3 + 0*u**2 + 0*u**4 + 3\/2*u**5 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*y**3 + 809*y**3 + 585*y**3.\nAnswer: 1203*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 15. Let c(j) = -j. Let i(d) = b(d) + 3*c(d). Let w be i(-11). Let v(x) = -2*x**2 + 5*x - 1. Calculate v(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus 15497?\nAnswer: 15497.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12246 + -82d8?\nAnswer: -1a540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6887, -2\/3, 1\/56?\nAnswer: 6887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*k = 59*k + 186*k + 1805 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 225, -4, 6 in increasing order.\nAnswer: -4, 4, 6, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3842 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132.1 - -130. Let n = -0.72 - -3.62. Let i = k - n. Which is the second biggest value? (a) 0 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3\/5 - 452*c**2\/5 - 2508*c + 12996\/5 = 0.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 95. Let w = 132 + j. What is the greatest common factor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 8) to base 11.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - m + 51 = 0, -5*u - 3*m + 43 = -0*u. Let z = -18 - u. Let r = 40 + z. Which is greater: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 19. What is the units digit of 1\/w + 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l - 14*l - 12*l + 82292*l**3.\nAnswer: 82292*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 3542*r**2 - 24746*r - 15. Determine o(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*u + 13192 = -1574 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 524551 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 160. Let l(v) = v**2 - 2*v - 61. Let s be l(10). Solve -s = d - k*d - 5*i, -4*d - 16 = -5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*j + 38*j + 736 = 3424 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 2. Let a(b) = -1. Determine -6*a(j) - 3*o(j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -508*c - 586*c - 1206*c in the form a + o*c and give o.\nAnswer: -2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -11 + 7 - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-5)*40\/(-12). Suppose 0*l = -l + m. Does 10 divide ((-621)\/36)\/(l\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21603 is divided by 634.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6 and 59\/37750406.\nAnswer: 113251218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2407836 (b) -3 (c) 6\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2531 - -2531.7083. Let v = n + -1.004. Let b = v - -0.28. Round b to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 17*l**2 + 44*l + 8. What is the lowest common multiple of 560 and p(14)?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.020961, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -92, 5\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1 + (-7 - -7). Suppose 2*l - z = o, 3 = 4*l - 2*z - z. Suppose 3*t - 36 - 308 = 5*g, -t - l*g + 96 = 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: Let w be (-10)\/(-6) - (-3)\/9. Suppose -4*x + 14 = -f, 3*f - 4 = 5*f - w*x. What are the prime factors of 9\/(f\/(8\/3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) + -6*(sqrt(170) - -2*sqrt(170)) - sqrt(170))) + -3*sqrt(170)*6)\/(-4*sqrt(40)*-1 - -4*sqrt(160)\/sqrt(4))*2.\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410904 and 6453.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4 + 1 + q + 0*q. Let a(b) = -333*b - 2 + 168*b + 166*b. What is -3*a(p) + 2*h(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 18*c - 13. Let i(f) = -22*f - 49. Let p be 172\/(-60) + 16\/(-120). Let k be i(p). Give m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5 - 1280*f**4 + 34536*f**3 - 226080*f**2 - 261900*f = 0. Calculate f.\nAnswer: -1, 0, 15, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0499*-0.03\nAnswer: 0.001497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 5*c - 4*x = 39, 5*x - 66 = -3*c. Suppose -c*k = -20*k + 12. Solve -v - 10 = k*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 = 3*o + 3, -4*h + 4*o = -32. Suppose 5*v - h = -w + 4*w, 4*w - v - 6 = 0. Solve -3*n + 2*a + 19 = 0, w*n + 0*n - 5*a = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 713*y - 14 + 717*y + 10*y**3 + 722*y - y**3 - 2158*y in the form n*y + t + k*y**2 + s*y**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55758 = 288*k - 283*k - 4*j, 2*k = 3*j + 22299. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10 and (39\/(-54))\/((-1)\/5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(3 + 0 + sqrt(68) + 5 + 5) + 4)**2*-5 + 5.\nAnswer: 3520*sqrt(17) + 15125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141142430 (base 5) in base 16?\nAnswer: 647733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*q**2*r + 229*q**2 + 3*q*r + q + 1 wrt r.\nAnswer: 61*q**2 + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42280 - -0.4.\nAnswer: -42279.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 36 = -0*g. Let r(t) = t + 13. Let x be r(g). Find a, given that -1\/4*a**3 + 0*a**x + 1\/4*a**5 + 0*a + 0 + 0*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117201*q**2*t**3 + 3*q**2*t**2 + 21367*q**2*t wrt t.\nAnswer: 703206*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 276709?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -724 + 727. Put 1, a, 58, 2 in decreasing order.\nAnswer: 58, a, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/136*-88 - (-15)\/3. Suppose 3 = -h - 2*h. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from hyyyyhyyyh.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**1*f)*f*f\/f**(-7)*f)**(2\/9) assuming f is positive.\nAnswer: f**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 18. Let s be c(6). Let h be ((-4)\/s)\/(4\/(-12)). Solve 1 = h*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -z + 1, -3*z = 6*c - 2*c + 5. What is the tens digit of z*((-3)\/(-1) + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -38*i**4 + i**3 - 14*i**2 - 3*i**3 - 14*i - 8 + 44*i**4. Let p(t) = 2*t**4 - t**3 - 5*t**2 - 5*t - 3. Let k(z) = -8*p(z) + 3*w(z). Factor k(v).\nAnswer: 2*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 14*s - 10. Let j be i(13). Solve j*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1015*y - 61*y + 1580*y + 8885*y - 6*y - 2379 wrt y?\nAnswer: 11413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:48 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 - 219 = 2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -98*l**2 + 1126*l - 1859. Give m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892*q**6*w - 2*q**2 + 124*w wrt q.\nAnswer: 107040*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b. Factor b + 6\/5*w + 9\/5*w**2.\nAnswer: 3*w*(3*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145533735 to the nearest integer?\nAnswer: 12064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 4, i: 2, v: 1, k: 1}. What is prob of picking 1 i and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 77.4*0.08712\nAnswer: 6.743088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) -5\/3 (b) 7 (c) -0.5 (d) -180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/156 and -31\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from kmkkmkmmmqmmmkmkmk.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 + 5618*i - 5616 = 0. What is i?\nAnswer: 1, 2808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 3*h**2 + h + 1. Let c be x(2). Let o = 2 + 3. Let m be -4 - -13 - (-5)\/(50\/(-60)). Sort c, o, m in descending order.\nAnswer: o, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*i**6 + 221*i**3 - i**2 + 79*i + 91.\nAnswer: -3000*i**3 + 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1798 divided by 8?\nAnswer: -899\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 161*p - 670. Let d be i(-5). What is the greatest common factor of d and 9845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42773*n - 42553*n = -9460 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.369 and 95206499.\nAnswer: 95206497.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3361*n - 5 + 5006*n - 3 + 8 to the form l + m*n and give m.\nAnswer: 8367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2*v**2 - 1. Let a(z) be the third derivative of 0*z + 1\/8*z**4 + 0 + 3*z**2 + 0*z**3. Give a(l(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-13 - -26 - -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14822 + 14821.8. Sort i, -0.5, 1, -126\/5, 3\/5 in descending order.\nAnswer: 1, 3\/5, i, -0.5, -126\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -728854838*o**2 - 113033739*o wrt o?\nAnswer: -1457709676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 897, 724, 251, -672, -2195?\n\"Answer: -25*h**3 + 2*h + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 12) in base 4?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 96 = 5*s, -h + 2*s - 106 = -4*h. Let k = 75 - h. What is the remainder when 145 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 28 = h, 5*h + 11 - 1 = -v. Suppose -l + 15 = -2*k + 2, 5*l = v*k + 40. Put 4, k, 25, 3 in decreasing order.\nAnswer: 25, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akakkoakaaa. Give prob of sequence ao.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-18))\/b*b\/b**(-2\/29))\/(b\/b**(-7\/6)*b**21) assuming b is positive.\nAnswer: b**(-6977\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -1\/6, 0.02, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 5. Let m(j) = 3*j - 4. Let u(y) = 4*m(y) + 3*o(y). Suppose -36 = 4*g - 4*h, -19*g - h = -16*g + 31. Let b(q) = q. What is g*b(a) + 2*u(a)?\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwwazaaflzfzzzlyaaw. What is prob of picking 1 f, 1 y, and 1 w?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104909 divided by -1.\nAnswer: -104909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232720405?\nAnswer: 5, 337, 138113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -311*r + 16014. Calculate t(51).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 3}. What is prob of sequence llo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 470450*y**2\/3 - 5922820*y + 55924854 = 0.\nAnswer: 9159\/485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -28, -76, -142?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(25)\/(3*sqrt(5)) + -5.\nAnswer: -10 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 12*s + 3*c = 15*s + 17, -5*c + 10 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*h - 7, 6*y + 11*y - 6*y + 2*h + 5*h + 123 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581159 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r - 3 + 4 - 1 + 2*r**3 to z*r**3 + q*r + a*r**2 + p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/16*2*4. Suppose 5*x - 14 = l*h + 3, 3*x - 4*h + 1 = 0. Suppose 4*b - 234 = 2*s, 0 = x*s + 5 - 0. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-9 + (-30 - -22))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3927 and -38\/11519319.\nAnswer: 126712509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 8 + 5)*((1 - t**2 - 1)*(4*t + 2*t - 5*t) + 6*t**3 - 3*t**2 + 3*t**2) in the form a*t + l*t**3 + i + h*t**2 and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3)*(m**3 + 0*m**3 - 2*m**3)*(24*m - 379*m - 275*m) as h*m**4 + s*m**2 + x*m**3 + n + k*m and give h.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -278, -1131, -2564, -4583, -7194, -10403, -14216?\n\"Answer: -c**3 - 284*c**2 + 6*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1612 + -806. Let r = c - 535. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dccc when four letters picked without replacement from dcdcdcdfcddddcdccdd?\nAnswer: 385\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 9:28 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -3.1. Let g = -0.5 - -0.9. Which is the nearest to -1? (a) u (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38.9 times -1\nAnswer: -38.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 55, 82, 109?\n\"Answer: 27*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20515*q**2 - 39940*q**2 + 19428*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -933167 - -12331\nAnswer: -920836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l + 17*l - 1 - 5*l**2 - 28*l + 3*l**2 - l**3. Suppose 4*k = -3*j + 29, -2*k - 6 + 3 = -j. Let w be (-60)\/14 + 2\/j. What is m(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169263?\nAnswer: 359, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 2*c - 3*c + (3*c - 3*c + 2*c)*(-1 + 1 - 2) + c - 5*c + 2*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, o: 2, s: 5, v: 9}. Give prob of picking 2 s.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(187) - sqrt(187))*-6*-3)\/(-2*-2*sqrt(275)).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0)**2*-4 - (-2*(sqrt(468) + 1) + sqrt(468))**2.\nAnswer: -2344 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/3388 and -79\/355432?\nAnswer: 3909752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*c + 5*c. What is y in 264*y**3 + 2*y**4 - 2*y - c*y**4 + 3*y**2 - 5*y**5 - 257*y**3 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -249 and 18.\nAnswer: -4482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2892546145\/3849263 + 3\/349933. Which is bigger: 752 or s?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwt when three letters picked without replacement from {y: 2, q: 2, w: 3, t: 4, i: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2946*h**3 + 6040 wrt h?\nAnswer: 8838*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/19381?\nAnswer: -28\/19381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/31)\/((-1271)\/(-3979501))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppuppuuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15851881 (base 9) in base 14?\nAnswer: -10ac101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2195 and 135212.\nAnswer: 676060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322\/29 + 7965\/464. What is the common denominator of u and ((-7)\/24)\/(18\/504*7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.5, 1.1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z**3 - z**2. Determine g(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/196)\/((-85)\/(-476)))\/(2\/(-45)*-13).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) 62 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**3 - 532*r**2 - 112*r + 696. Calculate b(-53).\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*(2 - 2). Let a = g + -3. Let n = a - -6. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) 3 (c) 0.1 (d) 0.242 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20099\/744 + 924\/31. Let p = 12325 + -443569\/36. Calculate the common denominator of p and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 3, 265 in increasing order.\nAnswer: -8, 1, 3, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*s - 4*a, 5*s + 4*a = 4*s + 38. What is the remainder when 73 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:49 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r - 2*w - 8, 0 = -5*r - 5*w + 60. Suppose -6*i = -r*i + 6. Let x be i\/(12\/8) + 2558. What is x rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83249408 to the power of 1\/2, to the nearest integer?\nAnswer: 9124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21 = -4*q - 101, 0 = -3*q + 3. Suppose 0*b = 3*b - k. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-77)\/(-4))\/(57\/456). Suppose -171*k = -c*k - 153. Let j(o) = -8*o - 5. Let d be j(-4). Calculate the highest common divisor of d and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38758591 - 542?\nAnswer: -541.61241409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.5, -0.2, 3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -344, -684, -1020, -1352, -1680?\n\"Answer: 2*a**2 - 346*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*j - 4*l, -5*j = -4*l + 6*l + 2. Solve 4*r = -5*w + 8, -w + j + 14 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.081 and -762975.\nAnswer: -762974.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 1. Let h = 11 - -2. Suppose 3*u - 15 = 0, 3*v = u + u - h. Let n be s(v). Let q(a) = 3*a**2 - 2*a - 2. Determine q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -4*m + 0*m**4 + 0*m**2 + 1\/18*m**3 + 0 - 1\/60*m**5. Solve i(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564.958 meters in centimeters?\nAnswer: 456495.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(9\/11)\/b*b\/(b\/(b\/(b\/(b**(3\/20)\/b)))))\/((b\/(b*b**(1\/42)))\/b)**(1\/3))**(-3\/5) assuming b is positive.\nAnswer: b**(9571\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -195886 + 4.6462173.\nAnswer: -195881.3537827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 1 - 1080*k**2 + 14 to the form t + o*k + d*k**2 and give d.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/209 - (-141)\/33. Solve -c*k - q + 7 = 0, -2*k + 5*q - 2*q = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*a - 88 = 0, -119 = -3*u - 2*a + a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1057*a + 3606*a**2 - 527*a - 530*a in the form c*a + r + f*a**2 and give f.\nAnswer: 3606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*p + 2437 - 23927 = -3364 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3088 + 6209 - 3121 + 194*w.\nAnswer: 194*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/96 - 14\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6359?\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12072 and 30180?\nAnswer: 60360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77\/3 of a day?\nAnswer: 36960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 4, w: 6, l: 6}. Give prob of sequence dwdw.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 2. Let t(y) be the third derivative of y**6\/120 + 3*y**5\/20 + 3*y**3\/2 - 9*y**2. What is -9*r(v) + 2*t(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 - 1)*2. Let w = -4.325 + 4.325. Which is the closest to j? (a) 0.1 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 35*z**2 + 9*z**2)*(-13*z + 9*z + 13*z).\nAnswer: -189*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*f + 210*f + 22*f + (2*f - 3*f + 3*f)*(1 - 4 + 1)*(-5 + 6 + 5)*(-2 + 2 - 3).\nAnswer: 248*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898138980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1885*j + 90516 = 1897*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-644)\/(-35))\/(2\/5). Let j = p - 44. Find the third derivative of t**j - 3*t**4 + 29*t**3 - 29*t**3 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) - (-3 + (0 + sqrt(1539) - sqrt(1539)) + sqrt(1539)))*-5*5 + 2)*-2)**2.\nAnswer: 21316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189220117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 2:03 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - x**2)*(3*x**2 + 0 - 3 - x**2) to w*x**3 + r + z*x**4 + d*x**2 + b*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 - 8337*d**2 + 4579683*d - 4571343 = 0.\nAnswer: -3249, 1, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097 times -2413?\nAnswer: -234.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*b = -7, 5*b - 13 + 33 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 8. Let b be r(5). Let t be (-39)\/b + (-7)\/(-14). Let v(p) = 20 + 3*p - t. Let l(m) = 2*m**2. Give v(l(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.1649 plus -614905?\nAnswer: -613923.8351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/24696 and 71\/811244.\nAnswer: 102216744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**3\/6 + 2*k**2 - 3*k. Let v be l(10). Is 10\/v*6\/(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -0.02, 7\/3, -2\/5, 2\/7.\nAnswer: -1\/2, -2\/5, -0.02, 2\/7, 1, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129 and 134117.\nAnswer: 402351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0 + 4. Let a(g) be the first derivative of -2 + 0*g + 2\/3*g**3 - 1\/2*g**d. What is the second derivative of a(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2836867*p = 3*m - 2836863*p - 19, m + 15*p = 143 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d - 3*t + 5283, -3*d - 3*t = -3960. Suppose 2*m - d = -447. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a4 (base 15) to base 7\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11877 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*n + 316, -3*n + 0*n + 2*x + 214 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e1 (base 16) in base 5?\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 74694340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20898 is divided by 20872?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -934, -1908, -3522, -5920, -9246, -13644, -19258?\nAnswer: -26232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -16\/57, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 181*a - 32. Let t be d(10). Let s be 1\/((-9)\/2) - t\/(-63). Solve -5*x - 8 = -s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-6))\/((-6)\/9). Does 10 divide 84\/f*(-20)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -60*i**2 - 131\/6*i**4 + 0 + 536\/9*i**3 - 197*i - 3\/10*i**5. Solve d(p) = 0.\nAnswer: -45, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923109 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/7 - -2\/35. Let a = -871\/35 + 123\/5. Sort a, -1\/3, c in increasing order.\nAnswer: -1\/3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 - -246. Let x(p) = 11*p**3 - 4*p**2 + 4*p. Let j(r) = -32*r**3 + 11*r**2 - 11*r. Determine c*j(f) - 11*x(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**3 + 14*g**2 + 3*g. Let k(p) = -17*p**3 - 27*p**2 - 5*p. Let f = 20 - 15. Let d(z) = f*v(z) + 3*k(z). What is the third derivative of d(n) wrt n?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 65. Give x(21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*b**2 - 71*b**2 + 52*b**2 + (b + b - 3*b)*(4*b - 5*b + 2*b) in the form a + y*b + j*b**2 and give j.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/132*4*(-2)\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 7:50 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**0)\/(v*(v\/(v**6\/v))\/v))**(-1))**(3\/11) assuming v is positive.\nAnswer: v**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -129*r + 5. Let a be v(1). Let h = -135 - a. Sort h, -2, 2 in decreasing order.\nAnswer: 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*j = -126*j - 497*j + 342*j - 11424 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 27466170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Suppose 2*u + 0*g - 3*g = 0, g - 28 = -4*u. What is the lowest common multiple of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h*z**2 - 1710*h*z - h + 39*z**3 - 6*z**2 wrt z?\nAnswer: -20*h + 234*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 360. Suppose -29*w + 5*w + s = 0. Suppose -2 + 0 = -2*v. Solve -v = -2*x + w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -10 (b) -18 (c) -389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*l**2*o**3*w**2 + 48*l**2*o**3 - 17*l**2*o**2*w + 57*l**2*o*w**2 + l*o**2*w wrt o.\nAnswer: 162*l**2*w**2 + 288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-293*h - 422*h + 15 - 717*h - 15 + 321*h).\nAnswer: 2222*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2818464 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1620 - 740. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*5\/680*(4\/4)\/(-2)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16410796, 32821592, 49232388, 65643184?\nAnswer: 82053980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 23 = 3*z + 4, 2*z + 5 = n. Let o(x) = 10 - x**2 + 8 + 2*x**2 - 22 - 2*x. Determine o(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155776142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, x: 5, k: 1, y: 2, c: 2}. What is prob of sequence yyk?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201866 = -55*v + 211899. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9\/43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (10 + (-8 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 306.21132.\nAnswer: -918.63396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 649 - 646. Let i be (2\/(-32))\/((-1)\/(-6)). What is the second biggest value in x, 5, i, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11793.0876 hours?\nAnswer: 70.19695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-12) - 6\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 11*z + 10. Let x be t(10). Suppose x = -4*j - w + 12, w + 16 = 5*w. List the prime factors of j\/(100\/92 - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 3\/2, -60, 0, 441?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - q - 6*q + (-5*q + 0*q + 3*q)*(0 + 3 - 2))*(-q - 4 + 4) - 3 - 1 + 2*q**2 + 5 to t + j*q + z*q**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**2 + 1. Let k(u) be the second derivative of 1\/12*u**4 + 0*u**3 + 2*u + 0 + 0*u**2. Give k(z(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -9\/13 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*p + 12, 3 = 2*g - 3*g - 2*p. Suppose 0 = g*i - 3 + 6. Let o(q) = 12*q**2 + q + 1. What are the prime factors of o(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -4*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*c + 5*f, -9*c + 26 = -5*c - f + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-9)\/(-2157))*-1. Let v be (241 - 14)\/((-3)\/(-6)). Suppose -3*s = -v - m. Round s to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 1. Let q(w) = w. Let o(f) = 9*f + 37. Let t be o(-4). Give t*k(l) + 4*q(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -541b5?\nAnswer: 541b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1408)\/96*((-1)\/2 - 6\/24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/23 (b) -3 (c) 0.02 (d) -4 (e) 0.3 (f) -974\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/36 and -5\/7384.\nAnswer: 66456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (7 - 31) + 16 - (0 + 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -832143 times -2\nAnswer: 1664286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.9, -184, 2, -1539?\nAnswer: -1539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4 + 16*o**3*y - 539*o**3 + 2*o**2*y + 439297*o**2 wrt o.\nAnswer: -72*o + 96*y - 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + 0.07. Suppose 22*s - 37*s = -11 - 4. Which is the closest to -1? (a) s (b) 17\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*b**2 - 3 + (b + b**2 - b)*(2195 + 264 + 2230 + 1823 + 3783).\nAnswer: 10297*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 + -10 + -17 + (0 - -4). Solve 2*i + d*u = u - 4, -i + 3*u - 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**3 + 4*y**2 - 23*y + 69. Let t(w) = -5*w**3 + w**2 - 8*w + 24. Let o(i) = 6*p(i) - 17*t(i). Determine o(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754 - 1752 + 5319 - 1815 - 102*p.\nAnswer: -102*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 10*h - 8. What are the prime factors of c(5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*d - 12 = -3*d, 3*d = -c + 12. Let t be -1 + c\/9*0. Does 5 divide t\/((-1 + 3)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111000032 + -2?\nAnswer: 111000030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -233 + 129 + 3*h + 115. Let y be x(3). What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2322 and -121\/10.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 17. What is the biggest value in d, 1\/8, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 575 - 2?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 + 2 - 0) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10433 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 - 5*q + 2. Let u(s) = 20*s**2 - 24*s + 2. Let w(f) = -7*f**2 + 8*f - 1. Let b(o) = 2*u(o) + 7*w(o). What is 5*b(k) + 8*d(k)?\nAnswer: 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -45\/11 (b) 21 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 4\/5 (c) 24 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011100 - -111100100?\nAnswer: 1110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -47 + 42 + 1784\/390. Let r = 6\/65 + i. Let f = -4.95 - 0.05. What is the nearest to r in f, -1\/9, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -2*u**3\/27 + 7*u**2\/9 - 4*u\/3 - 25. Solve a(h) = 0 for h.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -27*k + 25*k - 3977, 0 = 2*c - k - 2649. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 7. Let f be (u - -3) + (-3)\/3. Let k be -1 - (3 + (-32)\/6). Which is the third biggest value? (a) -2\/5 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1920 and 37\/320.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3370 and 2477347.\nAnswer: 2480717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5345 divided by 2527.\nAnswer: 5345\/2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = 25 - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w + 6. Suppose 0 = -r + w*r - 28. Solve -2*c = -4*f + 10, -3*f + 2*c + r = -0*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -1070 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((3\/2)\/((-27)\/(-36))). Suppose f*b - 2 = b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j. Let k(m) = -326*m**4 - 1 + 324*m**4 + 2*m**2 + 1. Let q(l) = 2*i(l) + k(l). Determine a so that q(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41c (base 14) to base 10.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9164 - -11458. What is the remainder when b is divided by 89?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3 - (-2)\/(-2). Suppose -o = p*o. Suppose o = 2*s - 2 - 12. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1232, 2516, 3852, 5240?\n\"Answer: 26*u**2 + 1206*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syssssssyysssyssss. Give prob of picking 1 y and 3 s.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1 (c) 0.9 (d) -3 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 7:08 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -12, -5, 2 in descending order.\nAnswer: 2, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/49894150 and 37\/340.\nAnswer: 99788300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -1\/4, 1\/161, 1.21, 1, 0.2 in descending order.\nAnswer: 86, 1.21, 1, 0.2, 1\/161, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 5*v + 5. Let y be p(-3). Suppose -y = 3*g - 8. What is the remainder when (-2 - ((-95)\/g)\/(-5))*33 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 10 - 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9261*y**2 - 974*y**2 + 5 - 5.\nAnswer: -10235*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*k**2 + 112*k**3 + 118*k**3 + 0*k - 250*k**3 - k to the form r + h*k**3 + m*k**2 + w*k and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 2*z + 2. Let i be s(1). Let f(p) = -p**3 - 6*p**2 - 6*p + 2. Give f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 - 7*v**2 - v - 2. Suppose -69 = 13*i + 22. Let l(b) = b**3 - 2*b**2 - 1. Give i*l(p) + 2*j(p).\nAnswer: p**3 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -4, 3, -3 in increasing order.\nAnswer: -4, -3, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 263.94463*0.01\nAnswer: 2.6394463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16*i**2 + 154*i + 60. Let j be h(10). Suppose 15 = 3*n, 4*n = -p - 0*n + 16. Let t be (-2)\/p*3*-2. What is the third biggest value in t, -4\/3, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1042 + 2735. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q - 35. What is n(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 31. Let a be 8\/(-12) - 31\/((-465)\/70). Calculate the highest common factor of a and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -d. Is 26\/6*d + 1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l + 578 = -240 + 25 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328253142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1457\/55 + 210\/11. Is q greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*j - 12*j + 434, 686 = 5*c - j. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**3 + 5*j**2 - 116*j + 4. Let y(u) = -6*u**3 + 7*u**2 - 175*u + 6. Calculate -7*h(p) + 5*y(p).\nAnswer: -2*p**3 - 63*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 10136*a - 50 = 10140*a, -5*a - 19 = -v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2263423*c**5 - 7*c - 92303.\nAnswer: 45268460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 882374402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7087566690.85 minus -7?\nAnswer: 7087566697.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 4*m**2 + 2*m - 4. Let k be j(4). Is k\/(-32) - 1017\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - q**3 - 118 + 66 + 52.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/2)\/(3\/(-6)). Let c(j) = 3*j**2 - 8*j - 6. Let h(z) = 2*z**2 - 5*z - 4. Determine a*c(i) + 8*h(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.52 - 0.0045?\nAnswer: -32.5245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g. Let i(p) = -p**2 - 7*p + 2. Let v be i(-7). What is the first derivative of -l - v + 0*l + g*l wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 2*r**3 + 13*r**2 - 13*r**2 + 3 + 4*r as t*r**2 + w*r + h*r**3 + m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 7, y: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 1056*j**2 - 16524*j + 60264.\nAnswer: 4*(j - 9)*(j - 6)*(j + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 79*t + 2057. Let j be k(-26). Is j greater than 157\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20296.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 8. Let h(o) = 2*o + 17. Determine 4*h(a) + 5*q(a).\nAnswer: -7*a + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-56)\/(-8) + (-1 - (-19)\/1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 1c1?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 0.112 (c) 5 (d) -1 (e) -691 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 - -11?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (26 - 8) + 3 + 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -230427?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -174438 (b) 2\/19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyuvoor. Give prob of picking 1 y, 1 r, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2. Let v be ((-3)\/(-6)*-4)\/(-2). Let y be h(v). What is the nearest to y in 4, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.155 or -385\/9?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-1131)*493*4*2\/8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 422303 + -209521. Let g = d + -119182. Round g to the nearest 1000.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 22.2. Let h = 1.2 - j. Which is the closest to h? (a) -3\/7 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.675624, -0.1 in increasing order.\nAnswer: -5, -0.675624, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -43, 5 in descending order.\nAnswer: 5, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 108. Suppose u = d - 88, -4*u + 284 = 3*d - a*u. Let y = 13 - 1. What is the remainder when d is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + -1.2. Let h = m - -1.6104. Let p = 0.005 - h. What is p rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a. Suppose 3 - 1 = -2*i. Let t be 1 + 0 + 1 + i. Let w = 2 - t. Determine l(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 32 = 3*g - 12, -4*p = 16. Put -3, g, -2 in decreasing order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45\/17 in 2\/15, 4\/9, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 4 + 24*z + 2*z**4 - 2*z**3 - 25*z to w + g*z**4 + n*z**2 + c*z + l*z**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 131\/6, 0, 2 in increasing order.\nAnswer: 0, 2, 131\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 243. What is the least common multiple of 12 and z?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001294723 to five decimal places.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -120. Let u be -2*(o\/(-6))\/((-2)\/4). Let a = u + 60. Calculate the highest common divisor of 95 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 8*f**4 + 22*f**3 - 51*f**2 - 46*f - 8 = 0.\nAnswer: -4, -1\/2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 + s. Suppose -8*q + 2*q - 180 = 0. Let w = q + 25. Determine b(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 56, 94, 146, 212?\n\"Answer: 7*j**2 + 3*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/140 and -87\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 9*q**2 + 6*q + 9. Let y(n) = n**2 - 1. Let l(p) = -t(p) - 6*y(p). Let j be l(-4). Solve -4*h + 3*h = 2*k - 3, 5*k = -j*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 1:18 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 287127621 and 0.4.\nAnswer: 114851048.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/2 - 2*s**3 + 3*s**2 - 2*s - 5. What is n in f(n) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 88, 3, 785?\nAnswer: 785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -120, -185, -252, -321, -392?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 + 9*q**2 + 3*q - 7. Let g(h) = 7*h**3 - 18*h**2 - 7*h + 15. Let a(r) = 2*g(r) + 5*o(r). Let i be a(9). Solve 2*j - i = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -212*d**2 + 1179*d + 194. Find the first derivative of u(j) wrt j.\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - (-488)\/72. Let a be (0 + 2)\/(-2) - 7154\/j. Let f = a + 29644\/29. What is the common denominator of -2\/9 and f?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92960 and 332.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 304 = -4*f - 317, 0 = 7*f - 5*d + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:25 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -263*i - 266*i + 529*i + 15*i**2 as q*i + v*i**2 + g and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 909153076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 984499.7 millilitres?\nAnswer: 984.4997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 23*l = -9, 2406 = 3*x - 3*l. Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 29829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1718\/351 + -182\/27. Let a = 81\/65 + z. What is the closest to 0.2 in a, -3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15482309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212945570?\nAnswer: 2, 5, 17, 727, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-352)\/32 + ((-14)\/(-2))\/1. Put w, -2, -5, -506 in decreasing order.\nAnswer: -2, w, -5, -506","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by 3?\nAnswer: -304\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -5, -13, -1, 0.\nAnswer: -13, -5, -4, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -26*w**6\/135 - 11*w**5\/6 + 13*w**4\/6 - 14*w**3\/27 + 464*w. Determine u, given that q(u) = 0.\nAnswer: -7, 0, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/264 and -19\/288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 110*u - 23338 - 18082. Solve -7*n = -u + 394 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3950 - 3752. What is the lowest common multiple of x and 154?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, 3.4, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7034c6 + 3?\nAnswer: 7034c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooospsoppooaoposos. What is prob of sequence sa?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + -15 + 28 + -17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 5*l**2 + 3*l + 6. Let z(s) = 43 - 656*s + 691*s + 138. Let t be z(-5). Give d(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -11, -0.049, 1?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -187179*s**2. Let o(r) = 2*r. Calculate k(o(d)).\nAnswer: -748716*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2) + 380 + 3\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -2.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/((-441)\/14)*-2)\/((-4)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + 0)**2 + sqrt(52)\/(sqrt(8)\/sqrt(2)) - (2 + (sqrt(78)\/sqrt(3))\/sqrt(2)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*v + 19. Let k(d) = d**3 - 6*d**2 + 4*d - 2. Let f be k(v). Calculate the greatest common factor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9100 - 8893 = 9*b. Calculate the remainder when 457 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199a6 (base 13) in base 16?\nAnswer: -c347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 5*m + 7. Suppose -13 = -z + 6. Suppose -2*t + 7 = -z. Let l(i) = -11*i**2 + 11*i - 15. Determine t*r(q) + 6*l(q).\nAnswer: -q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 847 = 3*l, 0 = 2*h - h - 2*l + 406. Let j be h\/30 + 14\/(-105). Let i = j - -19. Sort i, 3, -2 in ascending order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.04491?\nAnswer: 0.013473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, b: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(119)*-2*2 + -3*sqrt(119)*-1)\/(((sqrt(700) - sqrt(700)*1) + sqrt(700))*-5).\nAnswer: sqrt(17)\/50 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9570\/(-4147))\/((-25)\/910)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -m + 20, 3*m - 4*a + 0*a - 16 = 0. Solve m*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -15, -27, -55, -105, -183, -295?\n\"Answer: -d**3 + d**2 + 2*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -332099835.3?\nAnswer: -332099835.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 6*s + s + 170 - 83 in the form i*s + o and give o.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(396) + sqrt(396) + sqrt(396)*-2 + -4))**2 + -2 - (4 + ((sqrt(396) - (-1 + sqrt(396))**2) + sqrt(396))*6 + 4).\nAnswer: -144*sqrt(11) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 325991171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 18 = 3*u. Suppose 0 = -2*b - 4*z - u, 0 = 3*z + 6 + 6. Suppose b*n + 10 + 10 = 0, 0 = d - 5*n - 42. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121544.732 - -121804. Let o = 260 - s. Let b = 0.048 + o. What is b rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**4\/24 - 13*x**3\/6 + 122*x**2 + 27*x - 4. Let t be (-11)\/(0\/(-2) + 1). Calculate r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 114522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/3 + (-4)\/(-6) - (10689 + -10678)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3491 by 3491.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1568220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27598, -55339, -83272, -111493, -140098, -169183, -198844?\n\"Answer: -16*f**3 - 27629*f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/(-56))\/(1\/(-4)). Suppose 4*p = 3*s + 4681, -h*p - 2*s + 2345 = s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2\/(-8)*2). Suppose -5*w = 3*m + 2*m + 15, s = -2*w - 4*m. Let d(q) = 3 - 8*q + 12*q - q**2 - 8*q. Give d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 7*h = -3948. Calculate the remainder when h is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o**2. Let s(z) = 18*z**2. What is q(s(d))?\nAnswer: -3240*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -745 or -43?\nAnswer: -745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013066 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, c: 3, w: 4}. What is prob of sequence wcwl?\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1781 by 1.\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1554, 3137, 4736, 6357, 8006, 9689, 11412, 13181?\n\"Answer: w**3 + 2*w**2 + 1570*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298361857 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*k**2 + j*k + 240*j - 601*k**2 + 2 with respect to j.\nAnswer: k**2 + k + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/116 and (-1 - (-42)\/4)\/(297 + -296)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2636*w = 5126*w - 2651*w - 12880 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 1:12 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**3 + 2*t + t - t + 3*t**2 + 10*t**3. Let u(j) = 7*j**3 - 7*j**2 - 5*j. What is -4*u(w) - 10*x(w)?\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -0*n + 48. Suppose 0 = n*g - 10 - 38. Suppose 2*h - 430 = -g*h. Does 43 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 180*y**2 + 567*y + 2867. Calculate t(-183).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.941 - 35. What is i rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1582 times 1235.97\nAnswer: -1955304.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -3*n**5\/50 + 7*n**4\/6 + 16*n**3\/15 + 150*n**2. Find s such that g(s) = 0.\nAnswer: -2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from {r: 2, v: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 5:37 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let b = -74 + 91. Suppose 2*f = -y*j - b + 105, -f + 4*j = -49. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 971425 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 265*x - 10512. Give m(60).\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 + 0 = 0. Let b(i) = i**2 + 2*i - 1. Give b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/17 or 8117?\nAnswer: 8117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 - 311?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -50612025?\nAnswer: 50612025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6815 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: (90 - 82) + -3 + (-37 - (1 + -1))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 + 4. Let h(a) = -2*a**2 + a**2 + 0 - 1. Let z(y) = -b(y) - 4*h(y). Let n(p) = -4*p. What is n(z(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/21*12\/408*8\/(-4)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - j + 24933 = -2*j, 5*t - 2*j - 62331 = 0. Suppose 17*f - 2*f = t. What are the prime factors of f?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2706882102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/85 and -40\/19669?\nAnswer: 98345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65525 is divided by 126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 26 - 8 = 0. Suppose 427 = -0*c + 3*c - y, 4*c = -3*y + 591. What is the highest common factor of m and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 3, 1, 143.\nAnswer: 1, 3, 5, 12, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 - 119 = -34*t - 69 + 523 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1319 + 72*n**3 - 2*n - 8*n**3 - 141*n**3.\nAnswer: -77*n**3 - 2*n + 1319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*d - 66. Suppose 4*u - 14 = -d*t, -4*u + 9 = t - 0*u. Let j = 3 + 1. Solve b = -n - t, b - j*n - 24 + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhxb when four letters picked without replacement from {m: 2, e: 3, h: 1, l: 3, x: 5, b: 1}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42093 - 18246. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99 - 93) + (1 - 10) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 19016157*u**2 - 19016157*u**2 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 24. Suppose 7 = i - 2*i. Let s = q + i. Solve 3*h = 15, -s*z = -4*h + h + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -41*j - 30*j + 3633678. What are the prime factors of j?\nAnswer: 2, 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*u = 97, 6*s + 5*u = s + 95. Let q be s\/(9*14\/1323). What is the greatest common divisor of q and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 18*b - 23*b - 33, 39 = 4*k - 5*b for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27122 and 2272.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*p, 0 = 2*p + r + 2*r. Suppose -q + 2 = p, -s + 2*q + 2*q = -82. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*k - 155*k = -5*b + 37, 0 = 3*k - 2*b + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6045 is divided by (6 - 2\/(5 + (-441)\/93))*-72.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n - 2)*(-28 + 61 - 564).\nAnswer: -531*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10.668, -0.103, -10?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 190 = 3*w - 52418, -3*w + 52608 = -5*o. What are the prime factors of w?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*q**3*w*x - 267407*q**3*x**3 + 3*q**2*w*x**3 + 90*q**2*w - 1117*q*w*x**3 - w*x**2 wrt q.\nAnswer: -306*w*x - 1604442*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194710169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39731 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 147000\/((-404426)\/(-202180) + -2). Round n to the nearest one million.\nAnswer: 450000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 150*o**3 - 4*o**2 + 18*o - 28. Is u(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -91, -192, -6, 3\/4, -2\/21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125876830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 - 5*w**3\/6 + 5*w**2\/2 + 3*w + 64. Let k(v) = -v**2 + 6*v - 6. Calculate -3*k(o) - 4*q(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - r - 1. Let w(a) = -5*a**3 - 15*a**2 - 12*a - 10. Let u(m) = -3*o(m) - w(m). What is the tens digit of u(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 72?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 9*f**2 - 1058*f - 8526. Let t = -20 + 12. What is the smallest common multiple of r(-8) and (0 + -1)\/(2\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11283553?\nAnswer: 11283553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3\/2, 1\/3, -3\/328?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173630488?\nAnswer: 2, 337, 64403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 212 - 56 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-2 - 1 + 5) - 1 + 1 - 1 - 6 + 0 + 3 + 5 - 5 + 2 - 3 + 0 + 8)*(3*c**5 - c**3 + 0 + 0).\nAnswer: -3*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b + 5*o - 41, 5*b = 2*o + 10. Suppose g + 80 = p, -g = b*p - 4*g - 315. Calculate the remainder when 146 is divided by p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 7.003. Let x = -2.8 + 3.343. Let i = x - a. Round i to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 + 144*b**3 - 62*b**2?\nAnswer: 120*b**2 + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -38.89. What is i rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-152) - 47\/(-893)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 844*n**2 - 3. Let d(p) = 3*p**3 + 2530*p**2 + 8. What is -3*d(l) - 8*m(l)?\nAnswer: -l**3 - 838*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 343460 >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 9. Give f(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/10)\/((-81)\/61830). Let q = 741 + k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 11605335.3?\nAnswer: 4642134.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 4. Suppose 2*y = -m + 134, -131 = -2*y + m - 1. Suppose 9*j - y = 33. Calculate the lowest common multiple of t(0) and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-1)\/3)*3. Let l be (3\/2)\/(-6*5\/(-80)). Suppose -7*s + 15 = -l*s. Solve a = s*j, -3*j + 6 = r - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k - 8. Suppose -3*c - 15 = 0, -5*i + 0*i + k*c + 75 = 0. Let j be 2\/(2\/3)*i. Solve 5*b + 10 = 2*b + 5*y, -5*y + j = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 190.\nAnswer: 189.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 659934 and -208048372.\nAnswer: -207388438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(-12 + 0). Suppose 0 = -5*p + 19 + o. Let j = 6 + -1. Solve -p*a + 0 = j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 72 = 602 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30344 + -14?\nAnswer: 30330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 + 115. Let j = 11267.1678 + -11240.16780152. Let o = w + j. Round o to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11101101011001100000?\nAnswer: -11101101011001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, q: 2, e: 2, n: 4, a: 5, z: 2}. What is prob of picking 1 e and 2 z?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 719*p - 358*p - 355*p to the form k + g*p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201948*b**5 - 5*b + 5420?\nAnswer: -4038960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1367961)\/(-35)*((-2)\/6 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 + (-1290)\/(-27). Let k = a + -31. What is the remainder when 32 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 2*m + 34. Suppose 4*v + 4*p + 7 + 25 = 0, -4*p = 8. Let k be q(v). Solve -5 = -4*x + 3*d + k, 2*d + 10 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*c - 8*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59250440 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 107 - 192*k - 65 - 56. Let r be c(-7). Let h be (-8)\/14 + 340\/r. Are 1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -19, -128, -345, -706, -1247, -2004, -3013?\nAnswer: -4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + r**2 - r**3 + 2*r + 11 + 2*r. Suppose -12*m + 15*m = 0. List the prime factors of g(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1769 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 times 479867?\nAnswer: 139161.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43464 - -43464.4. Let r = 0.02 + 1.98. Let p = -1.7 + r. What is the biggest value in 2\/3, w, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 10300*i + 10295 = 0. Calculate i.\nAnswer: 1, 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s = 39*s. Put -243, -9, s in decreasing order.\nAnswer: s, -9, -243","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 7*v + 1. Let c be z(-7). Suppose 0 = -5*n, 3*n + 2 = w + n. Suppose -4*u + 2*q = -w, -2*q + 2 = 4. Solve u*t - c = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1291204.152 seconds?\nAnswer: 2.1349275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20)*96\/(-1080)*5\/(-3)*-1.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v + 7. Calculate x(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50121 = 13*g - 7794. What are the prime factors of g?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 21*q**2 - 8*q - 170. Give v(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = 5*m, 5*m - 4 = 3*m. Let w(x) = 11*x**2 + 1 - 1. Let y be w(1). What is the highest common factor of u and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.86123 - -0.13877. Let b = 0 - 3. Let m = -1 + b. What is the closest to 3 in m, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkswtrw. What is prob of sequence wkrs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 8. Let w be r(-6). Suppose -y - 3*f + 6*f = -8, -5*y = f - 40. Let g = y + -6. Solve -g*t - w + 0 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -207, -10, 3, -3, 101 in decreasing order.\nAnswer: 101, 3, 1, -3, -5, -10, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79384*n**2*o**3*r**2 - 10*n**2*o**2 + n**2*r**2 - 5*n*o**2*r**2 - 34*n*o*r**2 + 2*n*o*r wrt o?\nAnswer: -476304*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000956975 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**7\/35 + v**4\/4 - 27*v**2\/2 - 6. Let y(g) be the second derivative of s(g). Find the second derivative of y(r) wrt r.\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 4*l**3 + 40*l**2 - 132*l + 90.\nAnswer: -2*(l - 3)**2*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/90 + d**4\/6 - 85*d**3\/27 + 25*d**2\/3 - 53*d + 1. Factor g(w).\nAnswer: 2*(w - 5)*(w - 1)*(w + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let d(t) = -t - 2220. What is i(d(s))?\nAnswer: 2*s**2 + 8880*s + 9856800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 12 - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7*u + 7. Let o be r(7). Suppose -2*n = -o*n - 5. What is the tens digit of (-9)\/n + 2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 + 10465*j**2 - j\/5 - 10465.\nAnswer: (j - 1)*(j + 1)*(j + 52325)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, t: 1}. What is prob of sequence xt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 7. Let q be w(-3). What is the third smallest value in q, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990*h**2 + 1015*h**2 - 3036*h**2 + 983*h**2.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12291 - 18832\nAnswer: -31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 628 + -348. Is 31 a factor of 185\/(-2)*(-112)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2457 + r**3 + 2457.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3949*h - 7908*h + 3954*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 0*w)*(3*w + 3*w - 4*w) - w + w**2 + w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5483333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3 - n**2 - 14821*n - 88362 wrt n.\nAnswer: -3*n**2 - 2*n - 14821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -12. Factor -k - b*k**4 + 10*k**4 + 6*k**2 - 3*k.\nAnswer: -2*k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1180*j - 2. Let p(q) be the third derivative of q**5\/20 + 266*q**2. Give t(p(w)).\nAnswer: 3540*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*((-253)\/(-44) + -6) + (-352)\/(4 + -8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - n)*(0*n**3 - n**3 + 4*n**3) - 20*n**4 + 16*n**4 - 3 + 5*n**4 + 37*n**3.\nAnswer: 4*n**4 + 37*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/7 at least as big as -67301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**4 - 44*d**4 - 3*d**3 - 2*d**2 - d + 27*d**4 to q*d**2 + w*d**3 + z*d + o + s*d**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117942079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.023 - -0.07. Let f = z - 0.147. What is the closest to 0.05 in -0.3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23227.05 rounded to the nearest 100?\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241824807.\nAnswer: 1241824807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iri when three letters picked without replacement from {i: 1, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ushahuvahaujua. Give prob of sequence asj.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 67. Let a = g - -125. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355217 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -33*r - 128. Let x be t(-4). Solve 9*u - 15 = x*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67.1 - -64. Let f = 1.1 + g. Let k = -1.4 + 1. Which is the nearest to 0? (a) -4\/5 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234817, 469636, 704457, 939280, 1174105?\nAnswer: 1408932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*(-12)\/63*27\/180\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 13*k - 37. Let f(n) = -n**2 + 11*n - 37. Let a(z) = 6*f(z) - 5*u(z). What is a(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 32*h + 217. Determine a(-16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.798539 - -3230.\nAnswer: 3266.798539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8657, -8656, -8655, -8654, -8653, -8652?\n\"Answer: r - 8658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 3*o + 15*o)*(-2 + 3 - 3) + 21 - 47*o - 20 - 72*o to m + g*o and give g.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o + 9. What is the remainder when j(-8) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -11. Suppose 0 = -4*n, 5*m - b = m + 5*n. Suppose 0 = m*u, -3*k + 3*u + u = 15. Put k, 5, 3 in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - 1.2. Sort 2, q, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -258, -263, -270, -279, -290?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11993 + 11997 - 31*j**2 - 23990 + 14*j**2 - 36*j**2.\nAnswer: -53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(0*u**2 - 4*u**2 + 5*u**2)*(4*u - u - u + (0 - 3 + 2)*(0*u - 2*u - 5*u)) to the form b*u**2 + o*u + r*u**3 + j and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-30921776.\nAnswer: 216452432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 9*h**2 + h - 6. Let c be w(9). Suppose 5 + 5 = 2*v, -5*r - 2*v + 80 = 0. Is (r\/4)\/(c\/42) 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 -1370, -1425, 1146, 7657, 19422?\nAnswer: 37755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2*s**6\/5 + 8*s**2 + 3*s. What is the first derivative of m(u) wrt u?\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - w - 21 = 2*w, -i = -3*w - 11. Suppose 5*q + i*y - 35 = 0, -y = -3*q - 0*y + 1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - l + 0*l)*((-18 - 4*l + 18)*(2 + 0 - 3) + (2 + l - 2)*(2 + 4 - 2)) to the form v*l**2 + m*l + x and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 6*i**2 + 6*i - 3. Suppose 3 - 18 = -3*g. Let l = g - 4. Suppose 0 = -n - 3, 0*w - 2*w - l = 3*n. Calculate y(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/7594805 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 173*z - 100. Let h be v(-46). What is the highest common divisor of 464 and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-9)*q)\/(q*q**(-9\/5)*q*q)*(q**(-7)*q)\/(q\/(q\/q**7)))**(-41) assuming q is positive.\nAnswer: q**(4346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g + g**2 + 3*g - g**3 + 0*g**4 + 2*g - 3*g**4 in the form m*g**3 + v*g**4 + l + t*g + a*g**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*w - 3*w. Suppose 4*b - 140 = -b. Let s be (-13)\/(-3) - b\/w. Solve -4*h = -s*m - 6, -4*m - h = -5*h + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/12 - 5*g**3\/6 - g**2\/2 + 209*g. What is q(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v)\/v)**(-6) assuming v is positive.\nAnswer: v**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6400729\/174 - -36786. Calculate the common denominator of l and 79\/87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 3*v**2 - 3*v + 2. Let n be t(5). Suppose 2*a + a - n = 0. Suppose 3*c + 3*u - 61 = 4*u, 0 = 2*c - 4*u - a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2194506050 to the nearest integer?\nAnswer: 46846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 21222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1771, -1511, -1247, -979?\n\"Answer: 2*z**2 + 254*z - 2027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 9 (b) 135\/4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + -7)\/(3\/(493431 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let x be u(1). Suppose -4*o = -3*o - 26. Let p = -25 + o. What is the highest common divisor of x and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 344.9? (a) 1 (b) 0.4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241130 (base 7) in base 16?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 2*b**4 + 2*b**3 - 4*b**2 - b + 2 = 0 for b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.102, 0.16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/((-2)\/64). Let n(m) = -m**2 - 13*m - 33. Let h be n(-9). Find the second derivative of -25*j**3 + 0*j + o*j**h - 3*j wrt j.\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3123 = 7*v. List the prime factors of (v\/(-2))\/((-4)\/(-8)) + 4.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 545011 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*x**5 - 9*x + 8 wrt x.\nAnswer: 2140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*f + 6*f. Let z = f - 5. Calculate the greatest common factor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 246460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 27*i + 275. Let w be r(-8). Sort -18, w, 3, -2.\nAnswer: -18, w, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-495))\/((-7)\/(42\/4)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -162968038.41+467\nAnswer: -162967571.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:38 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562996350.\nAnswer: 2, 3, 5, 7, 367, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtkattxjjaaxxxxaq. What is prob of picking 1 x and 1 t?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1) + 2 + -3 + (13 - 21) + -24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 381 - 472. Is s at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48841 + 23519. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*0.87921.\nAnswer: 0.0175842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + o)*(0*o - 4*o + 2*o) + 4*o**2 - 5*o**2 + 4*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11870 divided by 2.\nAnswer: 5935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 47898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/45*(-13250)\/11130.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-206)\/(-7931))\/((-141)\/(-315) - 4\/10)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 3*z = -5*y - 19, -4*y + 12 = 7898*z - 7902*z for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9948 - 9948 - 169*g**3 - 2*g**3 + 0*g**3 + g**3 + (21*g - 6*g**2 - 21*g)*(3*g - 4*g + 3*g) - g**3 + 4*g**3 - 4*g**3.\nAnswer: -183*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -4*h - 0, -h - 9 = 4*n. Solve 8 = -t + h*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c + 28. Let p be t(2). Put -3, 7, p, 4 in decreasing order.\nAnswer: p, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/234261679 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2, 5, -13, -1.4, -0.17, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Suppose 0 = 4*b - i - i, 4*b - 12 = -i. Let p(z) be the third derivative of -1\/24*z**4 + 0*z + 0*z**3 - b*z**2 + 0. What is p(y(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 1:59 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v**3 - 2*v**2 + 3*v + 4. Let o be w(3). Suppose -o*t + 371*t = 0. Solve t = 3*m + 2*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3808 is divided by 1900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 46*i - 145. Let m be k(-49). Let y be (12 - -1) + 7 + -6. Let p be (-23)\/(-7) - 4\/y. Solve m*c - 4 = 4*o, 3*o - c + p = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50\/17*a**2 + 288\/17 - 240\/17*a.\nAnswer: 2*(5*a - 12)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/60 + 66\/(-495))*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -310311323?\nAnswer: 310311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 30, 27, 24, 21?\n\"Answer: -3*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/16)*k**(-11)\/k*k**(-6)\/k*k**(-11) assuming k is positive.\nAnswer: k**(-479\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5093058 hours in days?\nAnswer: 0.021221075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9140.3 - -9139.8. Let g(w) = -2*w**2 - 4*w + 3. Let z be g(2). Which is the nearest to -1\/4? (a) 1 (b) 0.5 (c) u (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -2 (c) -152 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/22 + 13\/33. Let y = -13 + 12.9. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686988 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53700 and 257700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 10783365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 4*j)*(-j + 2*j - 3*j)*(-3*j**2 + j**2 + 0*j**2).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q + 71*q = 1030 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 0.2. Let c = 86 - 84. Sort t, c, 0.2 in decreasing order.\nAnswer: c, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, n: 1, s: 1}. Give prob of sequence ns.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.67 - -0.67. Which is the third smallest value? (a) s (b) -0.04 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/3804 and 3\/2.\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-100))\/(6\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -10 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 178 + 6*d + 153 - 478.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 25 = 5*n, -3*n - 2*m - 20 = -7*n. Let j = 4 - 0. Let q = j + 1. Solve -n = q*r + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 0 - (-8)\/(-2)*16\/(-32). Solve 3*p - 6 = -12, k*p = -y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 5*s)*((-s - s + 3*s)*(-2*s - 4*s + 0*s) + 7248*s - 62*s**2 - 7248*s).\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -3 - 5) + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 36. Calculate the highest common divisor of 42 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 2 + 1 - (-3267)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -122?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001994 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 - 2*u + 4. Let t = -59 + 56. Give r(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 942275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*t**2 + 48*t**2 - 16*t**2 in the form g + v*t**2 + b*t and give v.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -2. Let k = z - -11. Let l = -69.5 + 70. Sort -0.1, l, k in increasing order.\nAnswer: -0.1, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410 + -227. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7521263 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52654335 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 782*(-183)\/33672*(4\/110)\/(2\/20).\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/6 - 127*p. Let x(l) = -32*l + 4*l + l. Calculate x(n(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-320)*(-405)\/6. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -3*o. Let l be (3*o\/(-9))\/1. Let p(k) = 0*k - 3 + 1 + 5*k. Calculate p(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-759)\/(-51) + -13 - 6\/(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33841 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -1\/4*j**4 + 0 + 0*j**2 + j + j**3. Factor k(p).\nAnswer: -3*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*13\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-23)\/3 - (-4)\/6)*-55. Calculate the highest common divisor of j and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -28*m**2 + 41*m**2 - 19*m - m**3 - 35*m**2 + 41. Let p be s(-21). Let f(i) = 11*i**3 + i**2 + i. Determine f(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43705423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 5*y**2 - 4*y + 3. Let u be j(4). Suppose -u*t = -4*p - 555, 4*p + 347 = 2*t + 9*p. Let r = 330 - t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1953920.78491 - 1953911. Let t = -9.595 + z. Let k = t + -0.19. Round k to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*m**3 + 18*m**3 + 411*m + 20*m**3 + 19*m**3 + 24*m**3 in the form f + s*m + x*m**3 + q*m**2 and give s.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 2*h**3 + 0*h - 4*h**3 + 0*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -1015, -2291, -4005, -6103, -8531, -11235?\nAnswer: -14161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 2*x + 14*n + 39, n = -6*x + 6*x + 5*n + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7623648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -138. Let x = f - 42.7. What is the third biggest value in x, 0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001 + 101?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7*g - 3*g - 2054 = 0, -g - 10375 = -5*y. What is the highest common factor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -273592, 0, -4, -1 in decreasing order.\nAnswer: 0, -1, -3, -4, -273592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15684 + -16846.78. Round s to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -276235?\nAnswer: 276251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/15 and 9\/(-15) + 1 - 44\/24.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45309 - 45185. Solve 94*f - c*f + 60 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -25*y + 19. Let x be t(1). Let o(c) = -4151*c + 37. Is o(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*m - 13, -14 + 31 = 2*s + m. Solve 3*t - s = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12421 and 12421 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 10*l**2 - l. Let k be w(-10). Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 1\/2*q**3 - 1\/8*q**4 + 1\/30*q**5 + 0*q - 102*q**2 + 0. Calculate d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9662\/5 + 1942. Let o be ((-2107)\/(-11))\/(2\/(-6)). Let p = 575 + o. Find the common denominator of z and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 317902 or 317918?\nAnswer: 317918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 + 33*x**2 - 19*x**2. Let f(y) be the second derivative of -y**6\/24 - y**3 + 3*y. Let h(n) be the second derivative of f(n). What is h(p(t))?\nAnswer: -60*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(15*w + 3 - 49*w + 14*w).\nAnswer: 20*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2420)*-1 - (sqrt(2420) + sqrt(2420)*-2 + sqrt(2420))*3)**2 + 3.\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -40*s + 215. Let l(x) = 2*x**2. Calculate l(y(j)).\nAnswer: 3200*j**2 - 34400*j + 92450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0, -0.1, -2491 in ascending order.\nAnswer: -2491, -0.1, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 3*m + 12084 = 14*l, -2*l + 6032 = -4*m. Is l a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 17 = 7. Let o be (2*4)\/(u\/(-3)). What is the second derivative of 0*r + 2*r**o + r + r**4 - 2*r**4 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = b + 2*m - 5, -3*b - 2*m = -34. Which is smaller: b or 12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-33) + 1431\/99. Solve -b + 0*b = -r + 3, -t = -5*b - 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1568 + -1031. Is l a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from agazgzzzzzazzgagz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 212, 457, 1150, 2525, 4816, 8257, 13082, 19525?\n\"Answer: 39*y**3 - 10*y**2 + 2*y + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 15 - 70. Suppose 5*j - 46 - 39 = 0. Let k(v) = 2*v**2 - 33*v + 24. What is the remainder when k(j) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -33.047. Let q = l - -0.153. What is q rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3400201 - -4102?\nAnswer: -3341044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2)*(-1224)\/(-510). Let a(f) be the second derivative of -8*f**2 + 0*f**3 + 4\/3*f**4 + s*f + 0. What is the first derivative of a(l) wrt l?\nAnswer: 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 2202?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 3}. What is prob of sequence ppv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6aeb7 (base 15) to base 12\nAnswer: -14529a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 11. Let m = j + 10. Sort m, 1, 5 in increasing order.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (192831\/7562)\/(2\/(8\/1))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(1\/(-4)). Suppose 0 = -m*n + 2 - 10. Let d(a) = -a. Let v be (42\/(-105))\/(-4 + 872\/220). Let g(i) = -3*i - 1. Give n*g(u) + v*d(u).\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4 + 1 - 2*f**2 + 0 + 2*f. Let v be -3 - -4 - (-2 - -1). Let w(y) = 3*y**v + 8 - 1 + y**2 - 3*y - y. Determine 5*o(x) + 2*w(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 301.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/((w\/(w*w\/(w**29*w)))\/w))\/w))\/(w\/(w*w*w**(2\/33))) assuming w is positive.\nAnswer: w**(992\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + 68*w**2 - 30*w - 14. Give x(-17).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 84*q**2 - 13*q + 7. Let u(a) = -82*a**2 + 16*a - 8. What is -6*r(t) - 5*u(t)?\nAnswer: -94*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from {g: 1, h: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v - 47*v - q - 16 = -1, 0 = 3*v - 2*q - 24 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36342, 71743, 107144?\n\"Answer: 35401*g + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y\/y**(-2\/3))\/(y*y*y\/y**0*y)**11 assuming y is positive.\nAnswer: y**(-511\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 728, 851, 970, 1085?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10033 at least -10033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -1\/9, -452, 0.1 in ascending order.\nAnswer: -452, -1\/9, 0.08, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s*s**(-4)))\/s*s**3)\/(s**(-3))**(-8\/9) assuming s is positive.\nAnswer: s**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365, 725, 1035, 1265, 1385, 1365, 1175?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -9*c + 6*t - 39273, 5*c - 3*t - 65468 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -1, -6, 29, -2 in descending order.\nAnswer: 69, 29, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + 0.5. Let i = p - -0.16. Let f = i - 0.418. What is f rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - f = -30 - 114, -2*f = -2*v + 132. What is the remainder when 187 is divided by v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oobbohoowhhwbob?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4, 1, -5, -359\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8133 + (-7)\/((-7)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14464096 divided by -452003?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 2, q: 1, v: 4, p: 6}. What is prob of picking 1 q and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*p = 5*p + 6, 3*b = -p - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 496 - -1505. List the prime factors of y.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 108?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 30*q**3 - 37*q**2 - 88*q + 124. Give o(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1412\/22 + (-4)\/22. Let v be w\/12 + (-4)\/3. Factor 17\/2*q**v + 1\/2 + 2*q**5 + 4*q + 14*q**3 + 11*q**2.\nAnswer: (q + 1)**4*(4*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76012 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 + -132. Is (-7395)\/d*4\/(-3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**9\/(h\/(h\/((h*h**(-2\/7))\/h))*h*h\/h**(-1)))\/((h**3)**(-40))**14 assuming h is positive.\nAnswer: h**(11741\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-10) + 3\/(-5))*-4. What is the smallest value in 4, 1\/5, 2, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q, -30*q - 12 = 4*n - 28*q. Let m(i) = 36*i**3 + 3*i**2 - 3. Let a(k) = 73*k**3 + 5*k**2 - 5. Determine n*m(y) + 3*a(y).\nAnswer: 39*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 1430136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -14882?\nAnswer: 5\/14882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -200723\/3 bigger than -66908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(t**2 - 4*t**2 + 4*t**2)*(1 + 1 + 0).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 714*x**3 - 56 - 58 + 2*x**2 - 713*x**3 + x in the form s + u*x**3 + o*x**2 + g*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -32*i**2 - 767*i - 3841. What is y(-5)?\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26 - (9 - 3)\/3. Factor -3 + 3 + 0 + d*g + 15*g**2 + 12 + 3*g**3.\nAnswer: 3*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 5 + 29*u - 29*u.\nAnswer: -4*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 4 - -7 - (-1 + 1). Suppose -3*p = 2*s - 119, 20 = p + f*p. List the prime factors of (s\/(-6) - -4)\/((-1)\/9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/17 (b) 0.03 (c) -2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 556 + -555. Which is the closest to 0? (a) -2 (b) 72 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51873898, -51873951, -51874046, -51874189, -51874386?\nAnswer: -51874643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12124, 24257, 36388, 48517, 60644, 72769?\nAnswer: 84892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 4*g + 222. Give s(14).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -255, -5, 3, 0.5, -0.138?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 + 7. Let b be k(-6). Suppose 21*n - 2634 - 201 = 0. Suppose -n = -b*h + 4*h. Which is greater: h or 43?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70293 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -144777 take away -426?\nAnswer: -144351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, t: 3}. Give prob of sequence wwwt.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72)\/sqrt(2))\/((sqrt(18)*-2)\/sqrt(9) + sqrt(2)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110181.1 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1077.661 to the nearest integer.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 26. Let t be o(7). Let n(a) = -a + 3. Let g be n(5). Put t, -4, g in ascending order.\nAnswer: t, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(2 - 9\/4). Let q(o) = 6*o - 1. Let d be q(1). Find the second derivative of 2*k**d - k**v - 8*k + 6*k wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.18 - 1.1. Let q = c - -0.32. What is the third biggest value in q, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/(-1))\/(-3) - -2180.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-32)*((-3)\/3 - -3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 207.28033 + 0.01967. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/27 and 79\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, -8, -5 in descending order.\nAnswer: 1\/5, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-5)**2 + 4 - -1*sqrt(32).\nAnswer: 4*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -56*g**3 - g**2 - 2*g - 2. Suppose 13 = 2*c + 15. Is 11 a factor of h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:01 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74393963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*((-112)\/12)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/20470 and -43\/14240?\nAnswer: 327520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 27 = 15. Suppose 0 = -3*l - 2*s + 6, -2*s - 27 = -q*l + 3*s. Suppose -4*o + 23 = -5*j, l*j + 2*o - 3 = -11. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -145 - 1?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37 and 69\/748.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-8 + (-100)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*c - 96 = 0, -37*y - 78 = -40*y - 5*c. Solve -6*q + 30 = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/(1118\/(-344)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72055745108.000000182 - -72055744983. Let h = -125 - q. What is h rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + -11)*(-8)\/2. What is the nearest to 5 in -5, 7, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53489, -53482, -53475?\nAnswer: -53468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 6.22.\nAnswer: -6.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + 2 + sqrt(320)*-1 + sqrt(320))**2 + sqrt(320))*-4 + -4 + 0 + sqrt(320) + (4*(sqrt(320) + sqrt(320)*-1) + sqrt(320))**2)*-1 + 3.\nAnswer: 152*sqrt(5) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-40))\/(((-2)\/(-12))\/((-218)\/1635)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3208, -3272, -3324, -3364, -3392, -3408, -3412?\n\"Answer: 6*l**2 - 82*l - 3132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q + 4. Let c be k(3). Let y be c\/44 - (-5)\/4. Is y greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrxi when four letters picked without replacement from {t: 4, r: 3, m: 2, i: 4, x: 4, b: 3}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -20, -o - 3*v + 64 = -4*v. Suppose 0 = 5*y + 102 + o. What is the common denominator of (-8)\/(-32)*(-1 - y) and -75\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (193*k - 11374*k + 192*k - 5625*k)*(0*k**3 - 2*k**3 + 3*k**3) as h + t*k**3 + r*k**4 + q*k**2 + o*k and give r.\nAnswer: -16614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 104.98. What is the fourth smallest value in -5, g, -1\/4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 - 8*c**2 - 5*c**2)*(-37*c + 14*c + 81*c) in the form q*c**2 + a*c**3 + n*c + z and give a.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + 6*p**3 + 10*p**3 + 2*p**3 - 28*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8732, -8734, -8736, -8738, -8740, -8742?\n\"Answer: -2*i - 8730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22765 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118*k = -3*l + 1122*k, -4*l = 2*k - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*h + 6*h + 6*h to the form d*h + w and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 54140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3033 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -235094 divided by 37?\nAnswer: -235094\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 17}. What is prob of sequence lhh?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 - y + 5. Let l be -5 + (-2 - -1 - (29 - 29)). Determine u(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3*c + 663*a**3 + 2*a**2*c + 395*a*c - 489*c - 5442 wrt c.\nAnswer: -2*a**3 + 2*a**2 + 395*a - 489","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x + 3. Suppose 5 = l - 5. Calculate the lowest common multiple of l and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 14*b**2 + 14*b - 17. What is k(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2)\/(-1) - -25. Let s = g + -20. What is the derivative of 11*f**3 - s + 1 - 13*f**3 + 1 wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 - 243. Let f = m + -142. What is the nearest to 0.14 in 4, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 4, a: 3, e: 4, j: 4, v: 1}. Give prob of picking 1 a and 2 e.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eece when four letters picked without replacement from {e: 7, c: 12}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 83.5. What is the second smallest value in t, 3\/5, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 14*x - 41. Let h be v(10). Let q(u) = -u**3 + u**2 - u + 1. Let w(n) = -15*n**3 + n**2 - 3*n + 1. Let f(t) = 2*q(t) - w(t). Determine f(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 514069*j + 514070.\nAnswer: -(j - 1)*(j + 514070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:08 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 41 + 121. Let y be 0*(12\/(-4))\/(-6). Solve 5*r + o = -y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*((sqrt(468) + -2 + sqrt(468))*-3 + (sqrt(468) + -1)**2 + 3 + 6*(-1*(sqrt(468) + 3))**2).\nAnswer: 504*sqrt(13) + 10020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 210460.\nAnswer: 631380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 30*i + 130. Let r be k(25). Solve 0 = r*g + z + z - 2, 3*g + 2*z + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 463 = -5*x, 3*x - 2*d - 289 = 2*d. Let v = x + -7. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 107*o**3 - 42*o**3 + 3 + 11*o**3.\nAnswer: -138*o**3 - 4*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = p - 7, 2*p - 3*d - 25 = -2*p. Suppose p*c - 2*o = -6 + 18, -4*c + 3*o + 12 = 0. Let w be -2*(c\/6 + -3). Is w at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149918.\nAnswer: 2, 74959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*26\/6*-1. Let j(p) = -2*p - 15. Let z be j(x). Let c = z - 1. Calculate the greatest common factor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*d + 54 = 0, 4*b - 5*d + 1 - 28 = 0. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23464 + 57492 = 1094*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-35)*(-12)\/18*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-9))\/((-8722)\/(-16821))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2347, -4690, -7021, -9340, -11647, -13942?\n\"Answer: 6*z**2 - 2361*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 171*a - 174*a - 2*j + 14, 0 = -5*a + 4*j + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18.2 * 4\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -119*o**3 + 183*o + 29. What is the first derivative of m(s) wrt s?\nAnswer: -714*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/832 and 41\/595160?\nAnswer: 61896640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (8004*b**3 + 10787*b**3 - 21436*b**3)*(b + 3 - 3) in the form g*b**3 + v*b**2 + x*b + m*b**4 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uummuduiuuuuuudidiii. What is prob of picking 2 d?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -48. Let a(p) = 5*p**2 - 48*p - 3. Let j be a(g). Calculate the greatest common divisor of 51 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0871578953 to 4 decimal places.\nAnswer: -0.0872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/((-10)\/(-130)). Let n = d - -9. Let g(c) = 4*c**2 + 7*c + 4. Does 20 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -122596.\nAnswer: -122596.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 54, -5\/14 in increasing order.\nAnswer: -5\/14, 4\/3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from zffkkffkfzffzzfzz.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 1496?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.3 (c) -100\/97 (d) 4\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 5*r**4\/24 + r**3\/6 - 3*r**2 - 2*r - 50. Let m(k) be the second derivative of c(k). Give m(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1862287, -3724553, -5586811, -7449055, -9311279, -11173477?\n\"Answer: t**3 - 2*t**2 - 1862267*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35193\/11 + 3202. Find the common denominator of 69\/8 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148 - 295 + 2*x + 2*x**2 + 143.\nAnswer: 2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(b + 0*b + 7*b)*((-b**2 + 0*b**2 + 3*b**2)*(-3 + 2 + 0) + 11138*b - 41*b**2 - 11138*b + 4*b - 4*b + b**2)*(5 - 1 - 2).\nAnswer: 672*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 - 8*l - 13 + 7 in the form c + g*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x - 3. Let l be u(6). Suppose -l*o + 5 = 2*o. Let s = 1 - o. Solve -4*a - 6 - 2 = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001552 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99411588 or 99411589?\nAnswer: 99411589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126048386 to the power of 1\/2, to the nearest integer?\nAnswer: 11227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - -1?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/9 - 0 - (-3)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/((-13)\/(234\/(-12)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.152 + 0.172. What is the third biggest value in 1\/4, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3\/5 - 858*q**2\/5 + 2943*q - 65124\/5 = 0.\nAnswer: 9, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(sqrt(2299) + 0))**2 + -2 - (0 + (sqrt(2299) + -1)**2 - ((1*sqrt(2299))**2 + 0 - sqrt(2299))).\nAnswer: 11*sqrt(19) + 331053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 16)\/(4 + -2). Suppose -2*q + u*q = -25. Let v = q + 29. What is the remainder when 93 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 7*v - 5*h - 479 = 0, h + 2443 = 5*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 - 8*i - 2. Let g be w(-8). Let f be ((-76)\/(-6))\/(g\/(-3)). Let b = f + -10. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.105206135 rounded to 4 dps?\nAnswer: -1.1052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y**2 + 36912*y - 229024 = 0. Calculate y.\nAnswer: -1684, 68\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.67 (b) -4\/7 (c) -0.3 (d) 0.1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)*b)**(-48)*b**(-1\/5)*b**(-17) assuming b is positive.\nAnswer: b**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1971613488*h**5 + 498802907772*h**4 - 15490075293*h**3\/4 - 436921053*h**2\/4 + 453150*h + 6831 = 0. Calculate h.\nAnswer: -253, -2\/221, 3\/232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 4*j - 380. Let k(i) = 4*i**2 - 5*i + 381. Let u(o) = -2*k(o) - 3*p(o). What is the first derivative of u(s) wrt s?\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.4 - -24.642. Let k = c - 0.042. Which is bigger: 8 or k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181601081 to the power of 1\/2, to the nearest integer?\nAnswer: 13476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279 - -143. Let y = p + 135.758. What is y rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8331*l**2 + 63*l - 9977. Let z(y) = 4166*y**2 + 28*y - 4989. Let s(m) = 4*x(m) - 9*z(m). Differentiate s(k) with respect to k.\nAnswer: -8340*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let m(y) = -y**3 + 5*y**2 - 3*y - 4. Let p be m(s). Suppose -p*i - 12 = -77. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1713 = -y. Let h = y - -232. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/4 + 1961*p\/2 + 19635\/4 = 0. What is p?\nAnswer: -5, 3927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = 6. Suppose -k = -3*f - 2. Calculate the smallest common multiple of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 24*a**4 + 16*a - 33*a - 3 + 2 + 15*a to k + x*a**4 + b*a**3 + g*a + s*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2351*o + 2364*o + 2357*o + 0 - 7074*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 3\/((-3)\/(-2)). Suppose 2*d - 13 = 9. Calculate the lowest common multiple of 2*(39\/6 - x) and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000119856186 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**3\/6 + 4*r**2 - 9*r. Determine z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147358, -147369, -147382, -147397, -147414, -147433?\nAnswer: -147454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = u - 57, 2*y - 4*y + 26 = 2*u. Suppose -3*f - r = -13, -4*f + 13 = 3*r - y. Let d = f - 1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 692932071 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3606 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413 is divided by 163?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 = -2*o - p, 10*o - p = 11*o + 411. Let j = 411 + o. Solve -4*a - 2*q - 2 = q, 6 = a + j*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3553*i - 56764. What is u(16)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 72*f**2\/5 + 768*f\/5 + 2048\/5.\nAnswer: 2*(f + 4)*(f + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/22)\/w*w*w*w**(-4\/7)*w)**26)**(-44) assuming w is positive.\nAnswer: w**(-19812\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17767\/(-1635))\/163)\/(2\/(-33))?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18*-1 + (5 - 8). Let k be h\/14*2\/9. What is the biggest value in k, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 37*q + 126. Calculate the remainder when 417 is divided by x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*s - k, -3*s = -300*k + 299*k - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*(-86)\/3. Let x = f - -46. Solve -3*j + n + x = 2*j, -6 = 5*j + 2*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(325) - sqrt(325)))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + 5*q**2 + q + 0*q**2)*(-3*q**2 + 3*q - q**2 - 2*q) - 7*q**4 + 0*q**4 + 2*q**4.\nAnswer: -49*q**4 + 7*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35 + 0 - 4) + -6. Let n = g + 48. Which is the nearest to -4\/5? (a) n (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/4 - (0 - -2). Let w be 42*((-7)\/(-2) + g). What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/84)\/(3 - (0 + 39\/12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from llsolagmsgalsalgag.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:20 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 98 = 5*f. Suppose 3*t + 144 = 5*v, 15*v - 63 = f*v + 3*t. Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from oookioikiooko.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 563455985.\nAnswer: 563455981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/3 (b) 2\/3 (c) -2 (d) -0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*(-8)\/(40\/25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 9:06 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fio. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9537*u**3 - u**2 - 20*u - 32. Let n be f(-12). Suppose -8*h + 12*h = n. Round h to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5834 + -10834. Round r to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + l - 0*l + 3759, 0 = 3*l. Is (10\/(-15))\/(2\/d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 + 7*u**4 + 11*u**3 + 24*u**2 + 6 wrt u.\nAnswer: -60*u**2 + 168*u + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4056*l**2 + 16*l - 18. Is 42 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 o when four letters picked without replacement from {f: 5, o: 9}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -30, -1, -3, -4, -2 in decreasing order.\nAnswer: 5, 2, -1, -2, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1196*c + 822?\nAnswer: 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.67 + 52.5. Let j = w + -6.33. Let g be (-10)\/15 - (-14)\/18. Which is the closest to 2? (a) j (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*h = -50*h + 62*h + 2769 - 9549 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*z = -10, -4*f + 398*z + 8 = 395*z. What is the highest common divisor of f and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 13*t = 4*t. Is t at most -2\/387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: c842 (base 16) to base 14\nAnswer: 1497c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15943 divided by 6?\nAnswer: -15943\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-19)*b))**50\/(b**(-2\/47)\/(b*b**(2\/57))) assuming b is positive.\nAnswer: b**(2547937\/2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 30607995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-10) + 1\/((-30)\/(-1068)). Suppose 0 = -f*j + 37*j - 720000. What is j rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/18*-4)\/(128\/192).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**6\/120 + 7*k**5\/80 + 7*k**4\/24 + k**3\/3 - 812*k. Suppose m(u) = 0. What is u?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5331, 10763, 16195, 21627, 27059?\nAnswer: 32491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 0, -4*c = -4*s + 3*s + 3. Calculate the greatest common factor of 94 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49847 - -29?\nAnswer: -49818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111120102202 (base 3) in base 7?\nAnswer: -14206406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + j + 1. Calculate l(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*w**4 - 4895*w**3 + 5905*w**2 - 985*w = 0. What is w?\nAnswer: -197, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -214.83 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/25*5 - (-397 - -1). Let p = j + -46. Suppose -9*r + p = 87. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let a = o + 11. Find the second derivative of -w + 3*w + 5*w + a*w**4 - 2*w**4 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bwwnnwobwwwowowobwow.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {q: 1, a: 1, f: 1, p: 2, l: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -70. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 90 = 47*o + 180. What is the nearest to o in -2, 8\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 - 5*d - 11*d**2 + d**3 - d**2 - 5. Suppose -5*k + 83 = -12. Let x = 13 - k. Let p(f) = -f**3 + 6*f**2 + 6*f + 6. Give x*q(i) - 5*p(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -1\/6*s**3 + 1\/2*s**2 - 4*s + 7. Let v(f) be the first derivative of u(f). What is v(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:19 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-665)\/(-266)*((-18)\/5 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - (4 + -2) - (239 + -142 - 83)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 0.0308, -9, 2, 0.5?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(80) - sqrt(10)\/((sqrt(30)\/sqrt(5))\/sqrt(3) + sqrt(2)).\nAnswer: 6 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13244*o**2 - 10991*o**2 + 26440*o**2 to w*o**2 + t + k*o and give w.\nAnswer: 2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4656, -4662, -4672, -4686, -4704, -4726, -4752?\n\"Answer: -2*l**2 - 4654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35434 - -67351. List the prime factors of v.\nAnswer: 3, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -13 + (-6 + 35 - 34).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*x + 504*x + 429*x + 49*x.\nAnswer: 717*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -608*d**2 + 9*d + 6. Let l(p) = -607*p**2 + 6*p + 4. Give 4*c(o) - 6*l(o).\nAnswer: 1210*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than 0.351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -2022?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 175033 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1015 (base 6) to base 10\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 158. Let m be o(0). Suppose -w = 2*n + 117, -293 = -5*w + n - 834. Let p = w - m. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.3, 19332.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 8. Let n be m(5). Let s be -2 - -2 - 16*(2 + n). Let w = s + -11. Solve -2*b + 5*a + 26 = 4, 15 = -w*b - 5*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11203428?\nAnswer: 2, 3, 373, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*w + 13*w - 3*w**2 + (-3*w + 5*w + 0*w)*(4 - 4 - 3*w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21749797.\nAnswer: 29, 749993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 4. What is x(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -522565, -1045134, -1567711, -2090296, -2612889, -3135490, -3658099?\n\"Answer: -4*n**2 - 522557*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 17. Suppose -4*d + 24 = -r. Suppose 5*a = 3*x + 5, 0*a - 2*a + 2 = 5*x. Solve -5*o + 3*k - d = x, -k = -2*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11356 divided by 91\nAnswer: -11356\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:07 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -331818 smaller than -331844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-6)\/b))\/b*b*b**(-2\/31)*b)\/((b*b\/(b*(b\/(b\/(b*b**(-2\/9))))\/b))\/b**(-9)))**(-21) assuming b is positive.\nAnswer: b**(2513\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-42))\/(2\/18). Let z(i) = -3*i + 6. Give z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (2 - (6 + 1)). Let s be (-1)\/3 + (-70)\/6. List the prime factors of (-1)\/(0 - w\/s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5614753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 82*v**2 - 256*v + 4. Let a be r(3). Let i(o) = o**2 - 3*o - 7. Let g be i(6). Let x(s) = 1 - s - g*s**2 + 0 - s. Calculate x(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2\/23, 2, -0.3, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.33 * -0.0091\nAnswer: -0.012103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -117 - 2*l - l + 118. Let s = 3 + -2. Let q be 4\/2 + (1 - s). Give x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 18*f**2 - 2*f + 53. Calculate the remainder when 134\/6*6\/2 is divided by t(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3 + 3*z - 2*z)*(3 - 5 - 4) + (-2 + 2 - 4*z)*(-5 - 5 - 2).\nAnswer: 60*z - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(2)*3 - sqrt(2) - (sqrt(22)\/sqrt(11) + 5).\nAnswer: -17*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 51 = l. What is the common denominator of 125\/6 and ((-14)\/3 - -1)\/(l\/18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 533655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -34*o + 23. Let s be g(2). Let w = s - 15. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f - 6. Let g be x(-2). Suppose -4*p = -2*p - 18. Suppose -g*j + p*j - 15 = 0. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose -w - 20 = -5*y + w, -2*w = -h*y + 12. Suppose -y*i = -0*i. Solve 2*l + 10 = -i*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/7587 - 134041\/15174. What is the common denominator of s and 39\/76 + 11*21\/(-28) + 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 7*z - 5. Let c be (-4)\/(-18) - 34\/(-9). Suppose 0 = -3*p - 6, -3*p - 15 - 15 = c*w. Let y be l(w). Which is smaller: y or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5495, -5113, -4731?\nAnswer: -4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7332.9 weeks?\nAnswer: 51330.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 11:23 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c\/(c*c\/c**(1\/2)*c)*c*c*c)\/c)\/c)\/c)\/((c*c**(2\/7)*c)\/c))\/(c**(1\/2)\/((c*c**5\/c)\/c)) assuming c is positive.\nAnswer: c**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) -9\/32 (d) -0.1 (e) -16.94 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(30) + sqrt(90)\/sqrt(3))\/sqrt(6))**2*-3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a0529b (base 12) to base 10\nAnswer: 2497367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1149480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 31. Suppose 151 = -5*p + 3*p - 3*y, 3*p - 6*y + 258 = 0. Let q be -4 + (140\/28 - p\/1). Calculate the greatest common divisor of d and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*f*k**3 - 3*f*n - 236602*f + 1170*k**3 - 82*k**2*n - 2*k*n wrt f?\nAnswer: 11*k**3 - 3*n - 236602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, 2\/11, -2\/9, -3, 25\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 8*p**2 + 6*p + 21. What is y(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1)\/sqrt(12) + -3 + sqrt(304).\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, t: 4, f: 7, n: 2}. Give prob of picking 2 f.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 1960 = 1981 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4 = 4*w. Let m(l) = -l - 1. Let p(v) = 6*v + 5. Let k(g) = w*p(g) - 5*m(g). Suppose 4*o + 4*i - 28 = 0, -3*o + 13 = -0*i + i. Determine k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529082069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1472747 is divided by 584.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**4\/12 - 2*m**2 - 92. Let r(z) = 342 - 342 - 3*z**2. Give r(f(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.055 + -0.945. Which is the nearest to 0.7? (a) -3 (b) l (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -50. Let t be (6\/4 + c)\/((-1)\/2). Suppose 4*l - 4 = b + 4, -29 = -3*l - 5*b. Put 5, l, t in decreasing order.\nAnswer: 5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -12*b + 8. Suppose o + 16 = -b*o + 2*p, 2*o + p - 1 = 0. Does 3 divide (-15)\/o*(-8)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12613482 by 3.\nAnswer: -4204494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 9. Let v be i(6). Let s be v*(208\/(-6))\/4. Suppose 10 = -4*m + s. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 6. Let r be n(-6). Suppose r = g + x + 4*x + 23, 0 = 3*x + 15. Let l = 6 + g. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = -l - 4*x, -13 = 3*l - x. Let d be -6 + 2 - 36\/l. What is the second derivative of -3*j + j**5 + 0*j + 5*j + 3*j**d wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13713, 13711, 13709, 13707, 13705?\nAnswer: 13703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*h - 56 = 129*h. Suppose -h = -4*w + 86. Let l(s) = 12*s**2 + 3*s - 5. Let n be l(-4). Calculate the highest common factor of w and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 + 2*m - 11. Let g be p(10). Let 6*t**2 - g*t**2 - 2*t**4 + 6*t + 5*t**4 - 6*t**3 + 0*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67366, -67192, -66902, -66496, -65974, -65336, -64582?\nAnswer: -63712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n - 324 - 52 = 0. Does 4 divide n\/2 + 234 + 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 11*r**2 - r - 16. Let n be c(-11). Let v = -2 + n. Let z(o) = -o**3 - 89*o**2 + 181*o - 97. Let f be z(-91). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93373956 - -5?\nAnswer: -93373951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21885, -43752, -65619, -87486, -109353?\nAnswer: -131220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = -29*y + 30 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 2:01 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**5\/f*f)*f*f**3)\/(f**(2\/11))**(-42) assuming f is positive.\nAnswer: f**(95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = h - 0*n - 8, 5*n = -5*h + 10. Suppose 3 = h*s - 9. Suppose -3178 = -4*t - 5*k, s*t - 4*k - 3993 = -2*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 - (-3 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -49*i + 39*i - 2 + 2. What is the lowest common multiple of (2\/(-5))\/(8\/(-40)) and o(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 39 = -3*n, 0 = -y - y + 10. Let k = -5 + n. Solve 8 = k*r - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowxoxwxoxxxx. What is prob of picking 2 x and 2 w?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 4 - 4 + 11249431*m - 11249431*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let n(j) = -3165*j. Calculate n(x(s)).\nAnswer: -6330*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.2619?\nAnswer: 1.5714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -45, 347, -1\/3, -0.1 in decreasing order.\nAnswer: 347, 8, -0.1, -1\/3, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -86b (base 16) in base 15?\nAnswer: -98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/120 + h**5\/15 + h**4\/4 + 5*h**3\/6 + 5*h**2. What is the tens digit of u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h - 334. Let s be l(-48). What is the first derivative of 51*d**2 + 223*d**s + 19 + 114 - 11 + 5 wrt d?\nAnswer: 548*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/245)\/(36\/126)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/66 and -31\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26663548 divided by -4.\nAnswer: -6665887","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express (118 - 118 - 27*k)*(4 - k - 4) as i + j*k + n*k**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o + 0*o**3 - 4*o + o**3 - 2*o**3 + 2*o**4 in the form p*o**2 + h*o**4 + y*o + v + q*o**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.74 - 84.26. Let b = 242 + -116. Let f = b + p. What is the nearest to -2\/5 in 0.5, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 1589058?\nAnswer: 55617030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32852612 or 32852615?\nAnswer: 32852612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.07282 - 0.07282. Which is the smallest value? (a) v (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + 2 + -5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {x: 1, q: 2, e: 5, f: 1, i: 11}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 25, 47, 73?\n\"Answer: 2*z**2 + 12*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22109 + 60038. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5169*x = -5168*x - 3*v - 10, 0 = -16*v - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177021.\nAnswer: 3, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {m: 8, i: 5, y: 3, q: 2, k: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.2, 0.95202 in increasing order.\nAnswer: -0.5, 0.2, 0.95202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -116*r**3 - 5*r**2 - 7*r - 3. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:02 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 29. Suppose 5*b + 21 = 2*m, -m + 0*m + 23 = -5*b. Let h be z(b). List the prime factors of 3 + -1 - h\/(-6)*48.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 106236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 1, h: 6, n: 3, t: 3, s: 1}. What is prob of sequence xbst?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 485930517 or 1457791550\/3?\nAnswer: 485930517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-98)\/(-1176)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*t = -394, 36*t = -q + 32*t + 109. Solve 3*b = -4*k + 13, 2*k + b = 108 - q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9345 and 183540.\nAnswer: 16335060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 15}. What is prob of picking 1 v and 1 f?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74689450 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4\/3 + 4*p**3\/3 + 100*p**2\/3 - 100*p\/3.\nAnswer: -4*p*(p - 5)*(p - 1)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 58*j - 2117 - 5958 = 0 for j.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g + 205*g = -84 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -95416?\nAnswer: -7\/95416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -26*y**2 - 17*y - 3. Let p(g) be the first derivative of -4*g - 63 + 50*g**2 - 47*g**2 + 5*g + 3*g**3. What is 6*o(n) + 17*p(n)?\nAnswer: -3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -71*p. Let c(w) = -w**2 - 37*w + 2. Calculate c(g(u)).\nAnswer: -5041*u**2 + 2627*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(30)\/(sqrt(20)\/sqrt(2))))**2 + -1 + ((2 + sqrt(252) - sqrt(7)) + (3 + sqrt(567) - sqrt(567) - sqrt(567)))**2.\nAnswer: -40*sqrt(7) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) 0.5 (b) -3\/2 (c) 2.5 (d) 470\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -256?\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197018 is divided by 48923?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7*g - 15. Solve 0 = 2*p + v - 5, -g*v + 2*v = -3*p - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2 - 4808*k + 2355*k + 972 + 2345*k = 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + 375. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 245*u - 3664.\nAnswer: -(u + 16)*(u + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 0 + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24 - 9) + -1 - -10. Calculate the highest common divisor of 717 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 695 - 23 - 2*a**2 + 480.\nAnswer: -2*a**2 + 1058","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*k - i, -24 = 4411*i - 4399*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -605.577 rounded to the nearest integer?\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-10) + (-3)\/5. Suppose -z + 15 = 3*v, 5*v - h*v = -4*z + 5. Let i be (-1)\/4 - (-11)\/12. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 + 8*r**2 - 12*r + 14. Let i be t(9). Let w = i + 8438. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3605\/(-2884) + (-40)\/(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20144946108 and 2248.\nAnswer: -20144943860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(24)\/(sqrt(16)\/sqrt(4)) + sqrt(6) + 1*sqrt(24)\/sqrt(4))\/(6*(6*sqrt(6)\/sqrt(2) + 2*sqrt(243))).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3*(-68)\/36.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9967 + -10026 - ((-2 - -11 - 2) + 0)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 9*f**2 - 3*f - 11. Suppose -22 = b + 6. Let y = -22 - b. What are the prime factors of h(y)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/17 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*v - 38 = 0, 0 = 4*i - 4*v - 25 + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7274*f + 7280*f - 21840*f + 7286*f - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 186226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.766 + -0.034. Let o = 1.9 + v. Let p = -6.57 - -0.07. Is o >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9985 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*((-84)\/10)\/(-3). Let c = -20 + u. Suppose -c*f - 12 = -4*f. Let s(t) = -t**3 - 3*t**2 - t + 3. Determine s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 1:17 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1949395014981 and 0.2.\nAnswer: -1949395014980.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*j**3 + 342*j**3 - 1 - 1 - 5 - 2 as o*j**2 + z*j + h + t*j**3 and give t.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -79 and -238\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:19 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -8 (c) -4\/5 (d) 3 (e) 2\/15 (f) 0.1414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11.58848 + 5179\nAnswer: 5190.58848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d = 3*d - 5332. Calculate the common denominator of (-40)\/d - (-1 + 1) and -31\/11.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15683145 to the power of 1\/2, to the nearest integer?\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11649.5l?\nAnswer: 11649500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**5 - 15*a**4 - 71*a**3 - 232*a**2 - 288*a - 158. Let x(g) = -g**5 - g**3 + 2. Let u(s) = 2*l(s) + 30*x(s). Solve u(y) = 0 for y.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64165?\nAnswer: 5, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/(-64)*532\/(-63) and 1 - (111\/10 - 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/44 + -67\/44. Let f(l) = l**3 - 5*l**2 + 2*l + 3. Let p be f(4). Which is the nearest to -1? (a) p (b) 1\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1.2, 1.6, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 2276134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/113 or 58?\nAnswer: -14\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by 8.\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - 6. Let d = l + 31. What is the greatest common divisor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 4573468*v + 29.\nAnswer: -4573468*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000109 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -5 + -2 - 17. Let a = l + 23. Solve 2*f - 4*v - 7 = -3*v, 0 = 2*f - a*v - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*r + 1 + 3, 0 = 5*r + 5. Suppose -4*h - 20 = s, 0 = 4*i - 4*h - 12 - 28. Solve -4*q + i = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*q**3*z + 49798*q**3 + 11*q**2*z + 3*q**2 - 72*z wrt z?\nAnswer: 17*q**3 + 11*q**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*i + 25, 3*a + 2*i - 3 = 10. Let c be (a\/3)\/((-8)\/(-384)). Is 15 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from xxxjxjjnjjjxxjjxjxj?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0 - 5\/8*v**4 + 0*v + 8\/3*v**3 - 3*v**2. Let m(o) = 3*o - 3. Let h(i) = 11*m(i) + 2*r(i). Differentiate h(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*k + 13240 + 18438, 24 = 4*k. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547138.7 weeks to milliseconds.\nAnswer: 330909485760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25172752?\nAnswer: 2, 11, 157, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -6301?\nAnswer: 6233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/2*(-192)\/(-7040)*30.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77162188*g**3*o + 10382*g**2 + 136*g*o wrt g.\nAnswer: 462973128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 134 = -f, 20*f - 18*f - 136 = -t. Solve -7*h - 26*h - t = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833*p = -1830*p - 3, 2*p + 86 = 4*u. Calculate the remainder when 1913 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(4\/7))\/j**(-5)*(j*j**(-7))\/j*j*j*j**(-2\/11) assuming j is positive.\nAnswer: j**(19\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1515 and 46\/7575.\nAnswer: 7575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-16)*(-31 + 19)*-2. Let u = -93 + v. Let j be (-236)\/(-24) - (-1)\/u*1. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + l = 618, c - 246 = 3*c - l. Let x = 127 + c. Suppose 365 = 4*z + z - 2*k, x*z = k + 218. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39915 and 87595685.\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7*5 - (30 + (-42 - -13))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -11121?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-138)\/(-5382))\/(341\/4030)?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y**4 + 3*y**4 - 13*y**4 + (5 - 5 + 2*y)*(17*y + 8*y**3 - 17*y).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3189 = 3*y - 3084 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6960985 less than -0.2?\nAnswer: -6960985.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 8:21 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -12*q + 2. Let j(z) = -z - 1. Let h(y) = 4*j(y) - n(y). Differentiate h(f) with respect to f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*i - 3*i**3 + 25*i**3 + 53*i**3 - 30*i**3 + 65*i**3 wrt i?\nAnswer: 660*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*r + 35, 3*z + 29 = r + r. Suppose -4*k - 15 = 9. Let a = 10 + k. What is the greatest common divisor of a and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(567) + -2 + sqrt(567) + -1 + -2 + sqrt(567) + -3 + -5))**2.\nAnswer: -648*sqrt(7) + 5247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420425, 840802, 1261181, 1681562?\nAnswer: 2101945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4459, 4224, 3833, 3286, 2583?\n\"Answer: -78*x**2 - x + 4538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 17b?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-69 + 34) - -36\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-254)\/12 + 21)\/((-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -k - 17280 + 12960. Calculate the greatest common divisor of k and 6780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 24*m - 2. Let c be b(3). Let s(p) = -3*p**2 - 17*p + 5. Let d be s(-6). Is d\/(-5) - (-6006)\/c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 3*z - 7. Let t(g) = -2*g**2 - 6*g + 13. Let v(y) = 5*q(y) + 3*t(y). Let l be v(-3). Solve 0 = -4*u + 3*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 (base 6) in base 7?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - -6*(sqrt(136)*4 - sqrt(136)))\/(sqrt(24)\/sqrt(3)*-6 + sqrt(8)).\nAnswer: -19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 30 + 2. Suppose -4*r + 24 = -80. Let k = r - s. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let j(a) = -3*a**2 + 2. Let y(r) = -6*r**2 + 5. Let z = -10 - -16. Let v(i) = z*y(i) - 15*j(i). Calculate v(l(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-629)\/(-204)*-6*-2. Calculate the greatest common divisor of 8917 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4097852*h - 9000 = -4098032*h for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 862390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 2:30 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2 in decreasing order.\nAnswer: 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173933 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(3\/760*-2). Let o = k + -356. Let i(m) = 2*m**3 - m**2 - 2*m - 3. Let q be i(3). What is the highest common divisor of o and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 20 - 18, -d = -3*x - 10. Put -2, -1, 4, x in descending order.\nAnswer: 4, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/72418?\nAnswer: -3\/72418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 216037149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 1. Let c be r(13). Let s = c + -25. Suppose s = -16*n + 12*n + 48. Solve -4*a + 4 = n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**4 - 2158*m**3 + 65480*m.\nAnswer: 72*m**2 - 12948*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - l - 5 = 0, 14 = 2*j + 2*j + 2*l. Let r = 8 - j. Calculate the least common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6165 and 402095.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - 1*sqrt(128)*-2 - (0 + sqrt(128) + -1))**2 + -1*(4*-1*sqrt(2) + 4).\nAnswer: 36*sqrt(2) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 3*x - 4. Let u be y(-4). Suppose -29 - 371 = -16*b. Suppose u + b = a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (1 + -1) - -6) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2447, -19964, -67515, -160118, -312791, -540552, -858419?\n\"Answer: -2503*p**3 + p**2 + p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -549975 bigger than -549979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052659 rounded to six dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 - 3*f + 0*f**2 + 0*f**3 - 1\/12*f**4. Let o(m) = 3*m**2. Give o(k(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 96. Let x be (-4)\/m - (-26)\/12. Solve 5 = x*t - 4*a - 15, 2*t + 3*a = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 1. Suppose r = -r + 4. Suppose r*n = -10 + 2. Is c(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - (-2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((-1*sqrt(165) + sqrt(165) + sqrt(165))\/sqrt(5))\/(6*sqrt(3)*2) + 0 + 1*sqrt(176) + sqrt(176)))**2.\nAnswer: 103499\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13)\/((p\/(p**(-2\/19)\/p))\/p))\/(p**1)**(-8) assuming p is positive.\nAnswer: p**(1741\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**3 + 3\/2*a**4 + 15\/2 - 9*a**2 + 6*a.\nAnswer: 3*(a - 5)*(a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 + 1. What is a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4670, -9551, -14450, -19361, -24278, -29195, -34106, -39005?\n\"Answer: y**3 - 15*y**2 - 4843*y + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4323, 4325, 4327, 4329?\n\"Answer: 2*y + 4321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16765 is divided by 215?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*m + 4*f + 69, 0 = -3*m - f + 90. Let x = -4 - -15. Suppose 13*s - m = x*s. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 26793800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Let r be (p + -3)*(-1)\/1. Let h be (r - (2 - 4))\/(-1). Which is the nearest to h? (a) -0.2 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 225*u**3 - 224*u**3 + 3 + 6*u**2 + 0. Let b(c) = -c**2 + 2*c + 3. Let x be b(-2). Determine s(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142962786*s**3 - 144151892*s**2?\nAnswer: -857776716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626242608 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 - 21*f + 11. Let y be k(9). Suppose 4*r - y = 340. What is the greatest common divisor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 0*n - 3*n - 4*n. Let l be (2\/6)\/((-5)\/(-30)). Let f(j) = -6980 - 2*j**l + 6980. Calculate f(w(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5) + 20856\/55 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4406, 4408, 4410?\nAnswer: 4412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-18) + -137 + 142.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 15 - 6. Suppose -k - 1 = -c + t, 0 = 5*c - 4*t - 18. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 13. Let y(v) = -5*v - 12. Let s(f) = -4*a(f) + 5*y(f). Give s(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 17 = 2*z, t - 1 = -3*z - 3. Let k = 0.59 - 0.65. Let q = -6587 - -6582. Which is the closest to z? (a) 0.3 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 3*n - 5. Suppose 17*a - 14*a = 6. Let x be p(a). Does 12 divide -4 + (4 - x)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 18, 1, 108116?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -12.072 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3562383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 71, 132, 217, 326?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 - -334. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-57) - (-2 - -1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1ce (base 16) in base 13?\nAnswer: -17945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -1026\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 + -176 + -104 - (1 + -26)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -70. Let v = i + 16. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y - 1. Let d be (4\/(-2))\/(((-5)\/(-10))\/(-1)). Suppose -h + 5*s - s = 5, d*h - 4*s = 28. What is the units digit of k(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + -5*((sqrt(1224)*-1 + sqrt(1224))*-6)\/(sqrt(16)\/(sqrt(8)*2) + sqrt(6)\/(sqrt(6)\/sqrt(2)))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4423*i. Let g(f) = -20*f - 1. Give p(g(h)).\nAnswer: -88460*h - 4423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -5*n**3 - n - 6*n + 6*n**3 + n**3. What is the tens digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/25)\/(1\/((-5)\/(-2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-72))\/(-2 - -3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968361129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80661859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4015 and 50370?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 18*f - 52 = 10*u - 2*u - 5*f, -f + 8 = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - l - 10, -5*m = 5*l - 30. Solve b = m*v - 2, 5*v = -b - b + 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 - 484?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -254423?\nAnswer: 254420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16046 (base 9) to base 8\nAnswer: 25341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1. Let v(c) = -43*c + 36. Suppose f - 2*x + 7 = 0, 5*x = 8 + 7. Let a(i) = f*v(i) + 3*d(i). Find the first derivative of a(p) wrt p.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (360\/110)\/(-3)*8\/(-24). Factor -10\/11*v**2 + 0 + 6\/11*v**3 + w*v.\nAnswer: 2*v*(v - 1)*(3*v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213 + -213.022. What is j rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Let y(g) = 12*g**3 - g**2 - 2*g - 2. List the prime factors of y(m).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -n - 9, 27 = 3*n - 8*n + x. Let w be 4\/n*1\/2. Let i be 2\/(-28)*(1 + 1). Which is the nearest to 0.1? (a) w (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8499*g**3 + 8515*g**3 - g - 1)*(2*g - 3*g + 3*g).\nAnswer: 32*g**4 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwm when three letters picked without replacement from {w: 1, h: 1, m: 1, j: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 28*p + 28*p. Let n(h) be the third derivative of -h**5\/30 - 11*h**2. What is n(k(t))?\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 886814017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 1393\nAnswer: 55\/1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55.2308 - 53.01. Round b to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52627 - 25504. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/395232 or -11\/54?\nAnswer: -1\/395232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - -16. Let j = r + -68. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 - 341270*s**2 + 341270*s**2.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1166459 * -4\nAnswer: 4665836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - q. Which is the third biggest value? (a) 2 (b) q (c) 2\/23 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 28*k = 66 + 144 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 28*l**5\/15 - l**4\/24 + 145*l**2 + 8. Let y(i) = -14*i**2. What is q(y(k))?\nAnswer: 21952*k**4 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - (-87027)\/697596. Let b = c - -10\/953. Let y = b - -2041\/244. What is the common denominator of y and -101\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*p + 178*p = 1600. Let u be ((-9)\/1)\/(-1 + 0). Solve p*x = -12, -4*x - 3 = -r + u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 12*m**2 + 11*m - 8. Does 33 divide y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(250))\/(sqrt(24) + sqrt(216))*-5 + 1.\nAnswer: -sqrt(2)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**5*b**18\/b*b*(b**(1\/6))**(1\/20) assuming b is positive.\nAnswer: b**(1681\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 - 528*f**3 + 2949*f**2 + 18780*f + 15300 = 0.\nAnswer: -3, -1, 10, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 3299*c + 3299*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57003 or -57025?\nAnswer: -57025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j**3 - 646*j**2 + 26*j**3 - 26*j**2 - 62*j**3 - 2 as d*j**2 + i + z*j**3 + n*j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1069*o**2\/5 - 2*o\/5.\nAnswer: o*(1069*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 57\/2. Which is bigger: 2.2 or f?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5187 and 892411?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*x + 2*n - 2 = -513*x, 4*n = -2*x + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2 + 2 - u - 2 + 2 + (-1 + 0 + 2)*(-2*u - u + u) + (-3 + 3 - 3)*(-1 + 1 + u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/8 and 39\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 2*38\/4. Suppose 4*c - d = -2. Solve -13 + c = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*v + 3*v - 25 = 0, -3*u - 5*v + 53 = 0. Let i(q) = 12*q + 44. What is the hundreds digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + i + 54 = t, -10*i + 8*i = 2*t - 43 + 7 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 5, n: 1, k: 1, p: 1}. Give prob of sequence rx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1 - 5. Let y be 6\/o + 3\/6. Let u(g) = -10*g. What is u(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136109612 + -59479874836\/437. Let k = w - 1082\/19. What is the common denominator of k and -55\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - -0.25. Let h = -0.02804 + x. Round h to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7379*p**3 - 658*p**2 - 329. Let f(m) = 45*m**3 - 4*m**2 - 2. Give 2*d(q) - 329*f(q).\nAnswer: -47*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 63 = -11*x + 3*y, -2*x + 5*y - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**9))\/g*g*(g\/g**(-2\/33))\/g*(g**0)**(-4\/5) assuming g is positive.\nAnswer: g**(-295\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2*u**2 - 2*u**2)*(-19 - 4 + 1).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -75, -7884 in ascending order.\nAnswer: -7884, -75, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91.527 and 2.2?\nAnswer: 201.3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 16162 = 28*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**3 - 2*f**2 - f + 1. Let i be p(-1). Suppose -4*g - x = -412, -3*g + x + 226 = -76. What is the highest common factor of g and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) + (-2)\/4. Let m be (-3)\/6 - (-2)\/4. Suppose m*c - 5*c + 5*s = 35, -4*s = -3*c - 26. Is c equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - (-26 - (-44 + 19))) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**2 + 5*o + 1. Let x be (-8)\/(-6) + (-247)\/39. Suppose -10 = -2*v + 8. Let n = 3 - v. Let q(h) = -7*h**2 - 4*h - 1. Give n*q(j) + x*s(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6675 - 2572. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6743 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 440793 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 3*h**2 - 3*h + (-2 + 2 - 1)*(1 + 2*h**2 - 1) - 276*h**2 + 331*h**2 + 175*h**2.\nAnswer: 231*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 3*s**2 + 5*s - 4. Let w be u(4). Suppose -2*q + 14 = -w*q. Let j(y) = 2*y + q + y**2 - y**3 - 5*y**2 - 3. What is j(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -976 divided by -90861?\nAnswer: 976\/90861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41648)\/4384)\/((-77)\/28)?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2132, 5832, 11954, 20504, 31488, 44912?\nAnswer: 60782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7991, 15673, 23355?\n\"Answer: 7682*u + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/210*483\/(-46))\/((-6)\/(-48))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5008879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55940 or 3?\nAnswer: 55940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5340232253 - -3?\nAnswer: -5340232250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 54 = 42. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-252))\/((-123)\/(40467\/94))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/72)\/(64\/((-10240)\/(-60)))*16*1.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 4*j**2 + 2. Let i be m(-4). Suppose 0 = 3*s - s - 4. Solve -i*o - s*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 12, 5*w = 3*k + 2*k - 2*k + 2*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*55\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2285\nAnswer: -4\/2285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 4*y**2 + 2*y + 1. Let i(g) be the third derivative of -g**5\/20 - g**4\/12 - 5*g**2 - 73*g. Determine -4*i(f) - 3*m(f).\nAnswer: 3*f**3 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5351*z**3 + 10767*z**3 - 5407*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5690.\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 49*u = 4. Let z be (27\/6)\/(14\/u - 3). Let i(o) = o - 4. Calculate i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12382, -24774, -37180, -49606, -62058, -74542, -87064, -99630?\n\"Answer: -l**3 - l**2 - 12382*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 2*k + 25. Let d(z) = z**2 - 13*z + 15. Let c be d(11). Let f be h(c). Let b(x) = -x**3 - 12*x**2 - 20*x + 8. List the prime factors of b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3635, -3625, -3617, -3611, -3607, -3605, -3605?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*(-266656)\/(-16). Let x = -82091\/5 - d. Let g = -247 + x. Calculate the common denominator of 29\/3 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-60)*(0 + 410). Suppose -3*n + 164 = -n + t, -4*n + 5*t + y = 0. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2566 + -2566. Let i(s) be the second derivative of 0 - 17\/6*s**3 + 9*s + w*s**2 + 1\/6*s**4. What is the second derivative of i(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 9*x + 13. Calculate j(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386822031?\nAnswer: 3, 449, 287173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -86*36\/(-51858)*3\/(-12)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/30 - h**4\/4 + 2*h**2 + 17*h. Calculate k(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 55, 86, 119, 154, 191?\n\"Answer: y**2 + 26*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 173.58225878958 + 0.4\nAnswer: 173.98225878958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 755437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -10. Let v = b - -12.9952. What is v rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-18))\/((-6)\/(-20))*(-144)\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/20 + 60667\/(-1178)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 * 15.95.\nAnswer: 60.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/14 and -61\/13214.\nAnswer: 92498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-208)\/39*(-18)\/8. Let t = 0 + v. Solve 8*u - 5*u + t = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-70)\/392. Put -1\/4, -2\/21, j, -0.5 in descending order.\nAnswer: j, -2\/21, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 - 5*i + 9. Let a be r(6). Let q be 10\/(-4)*12\/a. Is q + (3 - 2) + 90 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjjdjjjdjjjjdddjddd. Give prob of picking 2 d and 2 j.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c + 8. Let t(m) = 3 - 5*m - 6*m - 4*m + 10*m. Determine -3*p(g) + 8*t(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2629, 5268, 7907, 10546?\n\"Answer: 2639*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, 69, 293, 575, 915, 1313?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110111111110001011 - -11100?\nAnswer: 101110111111110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:07 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - 8*u - 25. Let o(j) = j - 1. Let n(g) = -4*o(g) + x(g). Let w(b) be the first derivative of n(b). Let t(a) = a - 1. Calculate 8*t(f) - w(f).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.2532064 to 1 decimal place.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 15, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 1 + 6 - 2)*(-2120*i + 2120*i + 222*i**2) as q + k*i + o*i**2 + c*i**3 and give o.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -5*sqrt(42)\/sqrt(7))\/(sqrt(4)\/(sqrt(4)\/sqrt(2))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373595 is divided by 843387?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**4\/8 - m**3\/6 + 5*m**2. Differentiate z(f) wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*m = 1023, -7*m + 11*m = 4. Is g at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 34368052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21392, -25840, -30276, -34694, -39088, -43452?\n\"Answer: r**3 - 4455*r - 16938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8.8. Let u = 3 - 2. Let o = x + u. Put 0, -3, o in decreasing order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a - 649644 = -51*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (128 + 216 + 142)*(1 - 5 + 3)*(0*h**3 - 2*h**3 + 7*h**3) + (-h - 2*h + 5*h)*(h**2 + 2*h**2 - h**2) in the form r*h**3 + f + i*h + m*h**2 and give r.\nAnswer: -2426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 4648183.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 60 = -63. Let b = -163 - -163. Suppose -3*k - 18964 = -4*g, 4*g + l*k - 10837 - 8127 = b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8943499 rounded to two dps?\nAnswer: -4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s - 46. What is w(0)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*o - 95 = 114*o + 5*w, -4*o + 4*w = -60 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-8.6.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/54 + 129\/27. Suppose -4*q = c - a - 6, 0 = 4*q - 4*c - 36. Solve 0 = s + q - 0, -2*r - 2*s - 18 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)\/(10\/20). Suppose -8 + 4 = q*d. Let x(t) be the third derivative of -t**5\/60 + t**4\/24 + 136*t**2. Calculate x(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -80, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**5 + 226*i**3 + 1033*i**2?\nAnswer: 900*i**2 + 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)\/(g*g**(-5\/2)))**(-38))**(2\/31) assuming g is positive.\nAnswer: g**(-646\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.36, 2\/9, -0.1 in descending order.\nAnswer: 0.36, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3366 divided by -2142?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 3*z**4 - z**4)*(-z - 6*z - 5*z) - 4*z + 4*z + 4*z**5.\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 5. Let u be r(3). Suppose -3*m = u*m. Suppose 0 = -m*x + 5*x - 20. Solve 14 = -5*z + x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15772888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/8)\/(1666908\/194960)?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v + 2. Let z(j) = -v + 2*j - 2 - 8*j. Let p(b) be the first derivative of -b**2\/2 - b - 319. What is 10*p(h) - 2*z(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 0*l**3 - l**3)*(0 - 4 + 5).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/3 - 3*c**2 - 13*c + 4. Let f be x(9). Solve f = 4*a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4 - 0)\/(2\/(-91)*(-1351)\/(-386))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 0.3, 0.1, 3, 0.0859, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 8*z + 4*z - 1)*(-z - 6*z + 5*z).\nAnswer: -22*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16021365 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3, n: 1}. What is prob of sequence rn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 968\/(-540)*(-1590)\/477 + (-1 - 5)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7362929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 57 times -0.026\nAnswer: -1.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 5. Let z(n) be the first derivative of -n**2\/2 - n - 66. Calculate -2*f(k) - 6*z(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h - 21*h + 79*h - 17*h - 16*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 4\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*((0 + 2 - 3)*(2*f - 2*f**2 - 2*f) - f**2 + 6*f**2 - 3*f**2).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - 2*g + 17*g)*(-1 + 4 - 5)*(1 + 2 + 2)*(-1 - 1 + 4).\nAnswer: -480*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(117)*-1 + -2 + 1 + -5*(sqrt(117) + sqrt(117) + -1*sqrt(117) + sqrt(117) - sqrt(117)) + -5)**2.\nAnswer: 504*sqrt(13) + 22968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/7 + -83\/63. Let b = 5 + -7. Let q = 1 + b. Which is greater: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -29*s**5\/30 - 113*s**3\/6 - 29*s**2 - 2. What is the first derivative of w(v) wrt v?\nAnswer: -116*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -16*u + 159. Let n = -5 + 16. Factor n - 4*t**3 + 21 - u*t**2 + 16*t - 3*t**2 + 2*t**2.\nAnswer: -4*(t - 2)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 + 1. Let g(m) = m**2 - m - 1. Let l(s) = -s**3 - 3*s**2 + 1. Suppose 5*u = 5*p - 10, u + 6 = -p - 2*u. Let k be l(p). Give k*d(a) + 3*g(a).\nAnswer: -2*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -2*w - 1, -2*w + 1 = -i. Let y(r) = r + 2*r**w - r. Let u(b) be the third derivative of b**4\/12 + 61*b**2. Calculate u(y(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 - 271. Suppose 78 = -5*j + 18. Let i be 3\/w*j\/774. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(2*p + 0*p + 0*p) + 0*p + 0*p - p + (-5*p - 3*p + 4*p)*(-1 + 4 - 4) + (2 + 1 - 5)*(-2 + 2 + 3*p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*d - 3 - 3, -1 = d. Calculate the remainder when 4 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**4 + 0*w**4 + 3*w**4)*(-39 - 12 - 1 + 3 - 1 - 1 + (-4 + 4 - 1)*(-2 + 4 - 3)) in the form t*w + n*w**4 + i + r*w**3 + a*w**2 and give n.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**4 + 21*n**3 - 5*n**2*z + 1524*z wrt n?\nAnswer: -4*n**3 + 63*n**2 - 10*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 5*z**3 - 4*z**3 + (z**2 - 2*z**2 + 2*z**2)*(395*z - 2861 + 2861) to the form m*z**3 + r*z**2 + n*z + l and give m.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123.25 - 122. Let h = v - -2.75. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 2*p**5)*(-1 + 1 + 2)*(31 + 46 - 59).\nAnswer: 72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 68*s + 232 + 0 = 0. Let t(v) be the third derivative of -15*v**2 + 0 - 2*v**3 + 0*v + 1\/15*v**5 - 1\/3*v**s. Solve t(x) = 0 for x.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**2 - 182*h**2 - 87*h**2.\nAnswer: -193*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(sqrt(117) + 2)**2 + (sqrt(117) - ((sqrt(117)*-1 + 3)**2 - sqrt(117))))*5.\nAnswer: -9150 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/5 (c) -6310800\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6537428 to the nearest integer?\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23772 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/1380 + a**4\/276 + 3*a**2 + 18*a. Let h(c) be the first derivative of i(c). Solve h(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9031585 and 42935.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617641 to the power of 1\/2, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -440.4842 rounded to one decimal place?\nAnswer: -440.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11857396\/105017 - 2\/9547. Let h = -113 + x. Suppose -4*q - 15 = -9*q + 4*g, -2*q - 27 = 5*g. Which is bigger: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.11 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x**2 - x**2)*(-2 + 1 + 2)*(0*x**3 + 2*x**3 + 0*x**3).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + 1.1. Let z = -142 - -146.6. Let f = z - -4.4. Sort x, f, 0.5 in descending order.\nAnswer: f, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 + 7 = 0. Let l = -74615\/17 + 4389. What is the second smallest value in z, -0.1, -3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b428 - 121?\nAnswer: -2b549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + -4. Let o(l) = -l**3 - 11*l**2 + 3*l + 3. Let h be o(z). Let g = -25 - h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*j, 14*u = -6*j + 18*u - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006751 rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 6. Determine w(20).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*q = -207607 + 216287 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 18 = -o, -2 = -c. Let j be (1 - (-16)\/o)*-4461. Factor -p**3 + j*p**2 + 16*p + 5*p**3 - 1507*p**2.\nAnswer: 4*p*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*g + 2*g + 2, 5*g = 4*m + 12. Suppose m*p - 10 = -0*p. Let z = -8 + 21. Calculate the remainder when z is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/6 + -1*2. Let c be 7*1\/(-2)*60. Let v = c - -1054\/5. Sort d, 2, v in decreasing order.\nAnswer: 2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24202 + 107?\nAnswer: -240b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -5*m**5 + 11*m**2 + 17. What is the second derivative of f(n) wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*49\/539.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000177517 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-57 + (-5453)\/(-95))\/((-6)\/9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**2 - 5*g. Let w(n) = n**2 + n. Let s = -11 + 16. Calculate s*w(t) + d(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 29 = -3*t, -2*t + z - 26 = 6*z. Let h(u) = -u**2 - u. Let q(c) = 2*c**2 + 6*c + 3. Let x(p) = 5*h(p) + q(p). Determine x(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*w + 526 - 2011. What is the remainder when 89 is divided by w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmsmmmmmxmuuumumu. Give prob of sequence uu.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.8 + -21.2. Sort m, 0.5, -7 in decreasing order.\nAnswer: m, 0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*v**2*w**5 + 2161*v**2*w**3 - 13*v**2*w**2 + 316*v**2 + 2*v + 4*w wrt w.\nAnswer: 1920*v**2*w**2 + 12966*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/229898 and -133\/426.\nAnswer: 689694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2734.7 to the nearest 10.\nAnswer: -2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:33 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 4*h**2 + 4*h + 1. Give m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-1\/9))\/(s*s**(1\/2)))\/(s**3\/s**(-9)))**(-2\/57))**(-27\/5) assuming s is positive.\nAnswer: s**(-227\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -4 (c) -0.1 (d) 7\/9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*h*o**3*t**3 + 391*h*o**3*t + 87*h*o**2*t**3 - o**3*t wrt t.\nAnswer: 246*h*o**3*t + 522*h*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -107\/25, 3.9, 29?\nAnswer: -107\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 217?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1482658, -2965315, -4447972, -5930629, -7413286, -8895943?\nAnswer: -10378600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 12*t**2 + 10*t - 7. Let w = 1 - 12. Let g be n(w). Solve 2*l - g = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*b = -b - 175, -r - 4*b = -58. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 9166923?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 77 and -177268552.37?\nAnswer: 177268629.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/3*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from jivuveoijiveiii?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6*y**2 + 621*g**5*y - g**2*y - 1406*y**2 - 2*y wrt g?\nAnswer: -120*g**3*y**2 + 37260*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170570574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 21*s - 20*s. Solve -2*p + 7 - s = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, l: 3, h: 2}. Give prob of sequence lhbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6961113 and 67\/5414199.\nAnswer: 48727791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 3 - (46 + -36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 557562919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-24)\/(f*(f\/f**(3\/7)*f*f*f)\/f))\/(f**(-39)*f**(-16)) assuming f is positive.\nAnswer: f**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1810009066 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 - 118. Let d = m + -75. Solve 3*q = d*x - 4, -3*q - x - 13 - 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -205, 264, -4.\nAnswer: -205, -4, -3, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (5 + sqrt(153)) - (0 + sqrt(51)\/sqrt(3)))*-5.\nAnswer: 25 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*r - 3065 + 3065 to the form l*r + z and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose l - 9 + 7 = 0. Suppose -3*k - 21 = l*g, 0 = g + g - 4*k. Sort 0, g, y.\nAnswer: g, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 5. Let g be (0\/2)\/(5 + 18\/(-6)). Calculate t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 2*k - 26, -24*x + 42488*k - 42492*k = -3*x + 180 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 26*g**2 + 47*g**2 - 21*g**2 - 14 to p*g**2 + k*g + f + i*g**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744012684.\nAnswer: 2, 3, 37, 8432461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -23 + 7 - 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 8. What is u(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3) + -1)**2 - (sqrt(6) + sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(2).\nAnswer: 3*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 1 (c) -2\/11 (d) -0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6*s - 91 = 5*s, -3*i = -5*s - 169. Calculate the smallest common multiple of 126 and i.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 8. Let k(c) = -c**2 + 15. What is 2*k(q) + 6*m(q)?\nAnswer: -2*q**2 + 6*q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-14)*(-4 + 48\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/180 - 12\/(-54)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + 8*h**2 - 5*h. Let n(v) = 7*v**3 - 16*v**2 + 9*v. What is -5*l(q) - 3*n(q)?\nAnswer: -q**3 + 8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31df97 (base 16) to base 2.\nAnswer: 1100011101111110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -33*a + 84 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**8\/33600 + w**7\/12600 + w**4\/4 - w. Let p(r) be the third derivative of b(r). Find d such that p(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2 - 2)*(2 - 2 + 2) + (1 - 2 - 2)*(1 + 6*c - 1).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/4 (c) -23 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49670745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70035.67 litres?\nAnswer: 70035670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*4\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 3 - 5 - 216\/(-2). Let z = b + -105. Calculate the highest common factor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002740603 to 7 dps.\nAnswer: -0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.5 + 7. Let z(a) = -a**2 + 7*a - 7. Let w be z(5). Let u be (0 + 1)\/(w\/(-1)). What is the closest to 2\/7 in n, u, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803674?\nAnswer: 2, 389, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k**2 - 2*k + 16. Determine l(-5).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 8\/5 (c) -1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228603989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1083.7 or 1?\nAnswer: 1083.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23574 = -401*z + 403*z + 5*k, 0 = 4*z - 2*k - 47076. List the prime factors of z.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4657?\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59061723.\nAnswer: 3, 7, 17, 23, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = 49*q - 21*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -187 in decreasing order.\nAnswer: -3, -5, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -1, 2138, 2?\nAnswer: 2138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*w + 103*w**3 + 126*w - 2*w**3 + 0*w + 0*w + (-5*w - 2*w + 4*w)*(-w**2 - 2*w**2 + 4*w**2) to the form o + j*w**2 + g*w**3 + f*w and give g.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 1, h: 2, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*17\/51\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -165*b**2 - 16*b + 152. Let i(g) = -164*g**2 - 14*g + 152. Let v(h) = -6*i(h) + 5*q(h). Is v(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -891482 in increasing order.\nAnswer: -891482, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g - 266*g - 32*g - 32*g - 108*g to the form a*g + k and give a.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1214 - 233?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320317807?\nAnswer: 14321, 22367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18710 - 5738 = 197*h + 185*h. Let n(v) = -v**2 - 6*v + 5. Let r be n(6). Do h and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 37*v - 85. Let x be m(-24). Suppose -x - 531 = -5*d - b, 4*d - 595 = 3*b. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 4*m - 4 - 5*m + 3*m + 0*m. Let d(f) be the first derivative of f**3\/3 + f**2\/2 + 64. Let g(x) = -2*d(x) - s(x). Factor g(k).\nAnswer: (k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411791283*-0.5\nAnswer: 205895641.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 2 (c) 124 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247642684 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2059*h - 91*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 7*r + 5. Let m(x) = -x**3 - x**2 + 8*x + 3. What is the remainder when m(-4) is divided by n(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 times 582.0582?\nAnswer: -34923.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38945 - 38948.8634. Round h to 2 decimal places.\nAnswer: -3.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.5328l to millilitres.\nAnswer: 819532.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 7:53 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/14858 and 1\/209.\nAnswer: 163438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2)\/6*-4. Suppose -4 = 5*s - 3*s. Let y = 3 + s. Put n, y, 3 in decreasing order.\nAnswer: 3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -322 + 337 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p. Let s(o) = -20*o + 3. Suppose -8*a + 801 - 825 = 0. Let l(g) = -3*g + 1. Let t(i) = a*l(i) + s(i). Determine z(t(y)).\nAnswer: 55*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 55 = 7*p - 36. Solve p*d - 11*s = -13*s + 2, 0 = 5*d - 3*s - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12) + 40\/(-12). Let m(z) = -z**3 - 5*z**2 - 2*z + 6. Let n be m(w). Let q(h) = -h**2 - 8*h - 6. Determine q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4 - 1447928*z**3 + 424583968*z**2 - 844824136*z + 421688100 = 0 for z.\nAnswer: -362275, 1, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v - 16. Let i be w(-3). Suppose -i*l + 4*t + 2582 = 0, -l + t + 146 = -1141. What are the prime factors of l?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*((x**14*x*x*x)\/x*x)\/x))\/x*x*x)\/x)\/x*x*x\/(((x\/(x*x**(-1\/2)))\/x)\/x) assuming x is positive.\nAnswer: x**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 - -19.38. Let j = b + -19.09919. Round j to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 28\/59?\nAnswer: 28\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -342, -311, -232, -81, 166, 533, 1044?\n\"Answer: 4*m**3 + 3*m - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 220300 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2\/3 - 19112*m\/3 = 0. Calculate m.\nAnswer: 0, 4778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 8, 3*a + 3*r = 43 - 166. Is a less than -392\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 0, -2*k - 3*b + 296 = 74. Let t be (-1 - k\/(-15))*5. Suppose 21 = 2*d + d + 3*q, 2*d - 4*q - t = 0. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 0.2.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 4\/3 (c) -261 (d) 1\/2 (e) -7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 640*r + 4674. Let c be v(-8). Solve 16 - 4\/3*h**3 + 92\/3*h + 40\/3*h**c = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n + 1. Let k(c) be the first derivative of 5*c**4\/4 + c**3\/3 + 2*c**2 + c + 19. What is k(b) - 4*o(b)?\nAnswer: b**3 + b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6157 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 460?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 11 - -16 - (135 + -2 - (-71 - -75)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from svlvlmmfmllnlnmfln.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199218*r**2 + 102588*r**2 + 96625*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aucm when four letters picked without replacement from cacauuqqqmaa?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 9}. Give prob of picking 3 b and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 4 (c) -15 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198705740 divided by 112010.\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 849 = -129. What is the remainder when i is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i + 2*i + 48 - 47. Does 17 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.5 + -13. Which is the closest to f? (a) -0.3 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -17.1 (b) 2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -288640 divided by 3520\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) + (sqrt(68) - ((sqrt(68) + 3)*-6 + sqrt(68)) - sqrt(68)))*-3)**2.\nAnswer: 34992*sqrt(17) + 224532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2*sqrt(132))\/sqrt(11) - sqrt(96)\/(sqrt(8)*1)))\/((3*sqrt(128))\/((sqrt(168)\/sqrt(3))\/sqrt(7) + sqrt(8))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -1, -333, -2.\nAnswer: -333, -2, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*6*62\/(-4). Suppose 0 = -4*o + v + 715. Let i = -1852\/9 + o. Find the common denominator of 53\/10 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 - 10*b - 12. List the prime factors of o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 4:20 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37670382733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 1 w when three letters picked without replacement from {w: 1, n: 1, d: 7, y: 3, q: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 + 19*v - 50. Let q(h) = 11*h**2 - 56*h + 150. Let u(k) = 8*j(k) + 3*q(k). Let b = 83 + -50. What is the remainder when u(20) is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*n - 25, -3*n = -8 - 1. Let y(o) = 67*o**c - 33*o**2 + 8*o - 35*o**2. What is y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 14624?\nAnswer: 14624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5932558321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (8 - 2) + -4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - s + 12 = 0, -2*s - 4 = -s. Let n be (a\/3 + -2)*-3. Let -3*u**5 + 4\/3*u**3 - 4\/3*u**n + 0 + 3*u**4 + 0*u = 0. Calculate u.\nAnswer: -2\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (-147684)\/(-20) + (-28)\/(-35)?\nAnswer: 2, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fql when three letters picked without replacement from {f: 4, q: 5, l: 7}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 952.4979 litres?\nAnswer: 952497.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -1) + -16 + -37 + 29 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 405\/((-14580)\/672) + (4 - 24\/(-9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 159*p**2 - 3839*p + 3999.\nAnswer: -(p - 1)*(p + 31)*(p + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192 - 199 - ((8 - (18 - 8)) + -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38461898 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 5*l**2 + 12*l + 8. Give g(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -2\/23 (c) 2\/137 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:26 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2987927 to 3 dps.\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120220 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**4\/4 + k**2\/2 + k - 624. Let n(a) = a**2 + a + 1. Determine -2*d(t) + 2*n(t).\nAnswer: 6*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 - 4767*o - 9522 = 0.\nAnswer: -1587, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*p + 4 = -4*m + 224*p, -m + 2 - 65 = -32*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i. Let c be x(5). Suppose -7*s - c = -12*s. What is the least common multiple of 1 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 7845*v - 15702.\nAnswer: 3*(v - 2617)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 4:29 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -9. Let g = 111487\/7 + -15927. What is the second biggest value in x, -1, -18, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1\/25, 0.0544, -1, 4, -2\/5, -5?\nAnswer: 0.0544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*i**2 + 626*i**2 + 1232*i**2 - 719*i**2.\nAnswer: 1742*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -3258, 0.\nAnswer: -3258, -158, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 4*b**2 - b + 2. Let h = -19 - -21. Let s(t) = t**2 + h*t**3 - 2*t**2 - 3 + t + 6*t**2. Determine 4*s(d) + 5*x(d).\nAnswer: -2*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 4:38 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4 = -4 + 2, 3*m + 222*r = 225*r - 39 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/4165 and -47\/17.\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or 131\/109?\nAnswer: 131\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 14748465.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 20. Solve -4*g + k*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/7 + 319*p**3\/7 + 33867*p**2\/7 + 1497197*p\/7 + 23820320\/7.\nAnswer: (p + 53)**3*(p + 160)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 4, d: 3, r: 1, g: 4}. What is prob of sequence du?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 157320*s**4 - 6187552917*s**3 - 12374476562*s**2.\nAnswer: -s**2*(s + 2)*(s + 78659)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -1.8. What is the nearest to s in -2\/9, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*d = 24278 + 182732. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.107, 16, 1\/3, -3, -3\/2?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.27448237 * 1\nAnswer: 0.27448237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.7 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0 - 33*d**2 - 12 + 12 to s + h*d + w*d**2 and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000425 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -28.2. Let j = 3.95 - -0.05. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*d + 17, -28*n + 4*d = -27*n - 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6*u + 2 = -5*u, 4*c = 5*u + 9. Solve -c = -a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 41. Let m(h) be the first derivative of 3*h**2\/2 - 7*h + 1. What is the smallest common multiple of m(5) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.5 - -41. Let r = q - -11. Which is the nearest to 0.1? (a) r (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 + -131?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let z(x) = 12*x - 7. Let f(h) = 6*q(h) + z(h). Give f(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (-6 - (0 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/48928 and -93\/112.\nAnswer: 342496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 35 = 2*h. Let p be (-2)\/14 + (-44)\/(-14). Solve 0 = p*c - h - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**5 + 2*i**4 + i**3 - i - 1. Let s(f) = -6*f**5 - 36*f**4 - 24*f**3 + 12*f**2 + 15*f + 3. Let g(x) = -3*l(x) - s(x). What is u in g(u) = 0?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 565*(-4)\/(-16) - (-1)\/(-4). Is (s\/(-4)*2)\/(33\/(-44)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 5. Let j = -7 - -2. Let r be u(j). Suppose l + 2*l = r, -15 = -3*h + 3*l. What is the greatest common divisor of 55 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 7*q + 506 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323144022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318 - 2227\/7. What is the nearest to -2 in z, -5, -1\/8, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (-2*sqrt(7) + -1 - sqrt(7))) + ((sqrt(42) - (sqrt(42)*-2 - sqrt(42))) + sqrt(42))\/sqrt(6).\nAnswer: 1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 85 and 0.07.\nAnswer: 85.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 794886 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14681 and 213749?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o - 20. Let b be k(-12). Let y = b - -278. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2203 (base 4) to base 6\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 + 3*b - 17. Let c(m) = -2*m**2 - m + 5. Let s be c(2). Let n be i(s). What is n rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 3*o + 27. Let r be d(8). Let h(t) = 2*t + 29. Calculate the lowest common multiple of 6 and h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**3. Let a(f) = 7*f**3. Let v = 727 + -724. Determine v*q(t) + 7*a(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3015 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*m + 600*m = -141. Which is greater: m or 9\/4012?\nAnswer: 9\/4012","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95974 is divided by 4346?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-4*(sqrt(143) - sqrt(143)*-1) + sqrt(143)))\/(2*sqrt(99)*4))**2.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1806\/(-24) + (-1)\/(-4). Let u = w + 84. Suppose 0 = -n + u - 3. Calculate the greatest common divisor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 141 + 99 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 1\/1 - 1. Suppose r - c = -f, 0*f + r + 9 = f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 0*r)*(4 + 2 - 4 - 4 + 0 + 3 + 4 - 1 - 1 + 5 - 4 + 0 + (-1 + 0 - 1)*(2 - 2 - 2) - 3 + 5 - 1 + 4 - 2 - 4).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:29 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 1\/20*a**6 + 0 - 1\/20*a**5 + 8*a**2 + 11*a + 0*a**3 + 0*a**4. Let n(z) = 7*z**3 - 2*z**2. Give 2*k(b) - 3*n(b).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*s**6 + s**4 + 590*s**2 wrt s?\nAnswer: 6600*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/7, -2\/17, 2\/101, -0.5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*x + 16. Suppose 3*a + 5*d = -0*d + 161, -3*d - 205 = -x*a. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzxst. What is prob of picking 1 t and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 1764*v**4 - 4*v**5 + 84*v**2 - v**5 - 1765*v**4 wrt v?\nAnswer: -180*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1284\/84 - 120\/8. What is the nearest to 1\/2 in 27, 7, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 2*o**2 + 7*o**2 + 1 + 0*o**2 - 2*o**2 as m + d*o**2 + p*o and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2216 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 1. Let x(b) = 13*b + 5. Let z(i) = -9*m(i) - 2*x(i). Let q = 28 - 11. Calculate the remainder when q is divided by z(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqz when three letters picked without replacement from {q: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -143?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 2. Let i be (18\/15 + d)\/1. Which is the second smallest value? (a) -4 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1741 + 908. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300866 by 1.\nAnswer: -300866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82530000 rounded to the nearest 1000000?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 2599.\nAnswer: -2599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 662 - 453. What is the remainder when h is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199098 divided by 1229?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -12, -7, -10, -27, -64?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 530902, 530905, 530910, 530917?\n\"Answer: a**2 + 530901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474, 951, 1430, 1911?\nAnswer: 2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**4 + j - 1. Let x(n) = 22 + n**3 - 8*n**4 + 3*n**4 + 2*n - 25 + 2*n**2. Let h(m) = 3*s(m) - x(m). Let h(l) = 0. What is l?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**3 + 26*n - 26*n)*(n + 4*n - 6*n) + 399*n**4 + 3655552*n**2 - 3655552*n**2 as u*n + i*n**2 + b*n**3 + g*n**4 + d and give g.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1837871 is divided by 918878.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f. Let c(d) = -8*d + 3*d + 3*d - 4*d. Let x(m) = 6*c(m) - 5*q(m). Let o(r) = -7*r. Calculate x(o(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:25 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514375?\nAnswer: 5, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 228684, 228691, 228702, 228717, 228736, 228759?\n\"Answer: 2*p**2 + p + 228681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8254 - -10.1956. Let j = -0.04 - 12.96. Let u = y + j. What is u rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302639?\nAnswer: 67, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*-2*(sqrt(847) + sqrt(847) + -1) + 1.\nAnswer: -264*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7226 divided by 11?\nAnswer: -7226\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**3 - 103*c**2 - 572*c + 673. Let h(v) = 4*v**3 + 104*v**2 + 572*v - 672. Let f(q) = 3*h(q) + 4*k(q). Factor f(o).\nAnswer: -4*(o - 1)*(o + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.48 - -50.4875. Let m = -10 - 1. Let b = m - d. What is b rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let y(x) = 3*x**2 - 6*x. Let h(q) = -q**2 + 2*q. Let w(b) = -17*h(b) - 6*y(b). Let l(f) = -26*f - 885. Let k be l(-34). Give k*w(r) - 4*z(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q. Let m = q - 1. Let y(p) = 2*p**3 - p**2. What is y(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1777297950.299998735 + -1777297940. Let m = c - 10.3. Round m to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - 3 + 6 + 11)*(-1 + 0 - 1) to the form z + v*q**2 + g*q and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -47*q**3 + 3*q + 2. What is the tens digit of s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9724, 19434, 29142, 38848, 48552, 58254?\nAnswer: 67954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6800776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f - 5. Let a be ((-2)\/45)\/((-11)\/(-55)) + (-25)\/9. Let g(r) = -7*r - 4. What is a*y(v) + 4*g(v)?\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 7*b + 575. Let x = 88 + b. Suppose -5*l = -10, 3*l = -x*v + l + 14. Solve -v*i + 3*i + 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**22*(z\/(z\/(z*z*z\/((z*z*z**18)\/z)*z))*z)\/z assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 16. Let q be h(19). Suppose -2*l + 5*l = q*g, -5*g + 3 = -4*l. Let p(o) = o**3 - 3*o**2 + 3*o - 2. Calculate p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*1 + (sqrt(72)\/sqrt(4))\/sqrt(9) + (-5*(sqrt(8) - sqrt(72))\/sqrt(4)*5)**2.\nAnswer: 11*sqrt(2) + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1092.\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -35. Let g = 17 - 21. Let l be (-4)\/(-2) - (-2 - -2). Sort l, q, g in decreasing order.\nAnswer: q, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 15*z - 80. Let y be i(4). Let s(q) = q - 4. Give s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 35 = -490. What is the remainder when p is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33165702*b**5 + 135810109*b**2.\nAnswer: 1989942120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -42. Suppose -2*m + 8 + f = 0. What is the least common multiple of m and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u + 110. Let c(x) = -6*x - 37. Determine -4*a(d) - 11*c(d).\nAnswer: -2*d - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -57*l**3 + 350*l**2 - 156*l - 1115. Let j(q) = 11*q**3 - 68*q**2 + 31*q + 223. Let t(s) = -31*j(s) - 6*p(s). What is t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 485, 499, 515, 533, 553, 575?\n\"Answer: g**2 + 11*g + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*x - 43*x + 3 - 17*x)*(1 - 4 + 2) in the form c + f*x and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 90200 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.02, -3.5607, -3\/7, 0.1, -1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k - 28. Let h(p) = 1 - 3*p + 2*p - 1. Let z(g) = 6*h(g) - r(g). Differentiate z(y) wrt y.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Let p = -4450 - -4445. What is the biggest value in p, 0.2, 1.2, n?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1241284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1408\/440*7\/4*(-425)\/(-34).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 935, 779, 371, -409, -1681, -3565?\nAnswer: -6181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:44 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = 3*a, -t + 2 = -4*a - 6. Calculate the greatest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + 0.18. Let w = 18 - 17.7. Let d = -16 - -11. Which is the closest to -0.1? (a) d (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1057753 - -478104703\/452. Let f = -2\/113 + u. Is f at least 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882694547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -273, -587, -1079, -1785, -2741, -3983, -5547?\nAnswer: -7469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565943017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 2:32 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 97*v - 21*v + 12*v + 2*v**2 - 12*v.\nAnswer: 15*v**2 - 118*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, w: 2, h: 1}. Give prob of sequence cc.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 5*i**2 + 14*i + 3. Let y be n(-7). Suppose -j + 0*w + 111 = -y*w, -j + 111 = 3*w. Calculate the remainder when j is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/24 - 11*h**3\/6 + 174*h**2. Let c = 116 + -76. Suppose 5*w + c = 5. Determine a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -102\/281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 19.6. Let j = i + 1.4. Which is the third smallest value? (a) 1\/5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3445 + 3442. Which is the second smallest value? (a) 1 (b) -0.3 (c) 1\/38 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:37 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 40*k - 40*k. Let t(m) be the second derivative of -5*m**4\/12 + 483*m. Calculate u(t(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(1872))**2 + 1 + 0.\nAnswer: 7484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12*m = 8, 6*b - 5*b + 35*m + 6 = 34*m for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029629 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118885419?\nAnswer: 3, 47, 281053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/255 and -79\/3288.\nAnswer: 279480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 55 + 0*d**2 + 2*d**2 - 99 + 7*d**2 in the form i + r*d**2 + j*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3654*k**3*o**2 + 5*k**2*o**2 - 13*k*o**2 + 13*k - 2*o**2 wrt k.\nAnswer: -21924*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2 = -3. Suppose -17*h - 373 + 424 = 0. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) -9 (c) 0 (d) -190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-29)*z\/(z*(z\/(z*z*z\/z**(-21))*z)\/z*z)*z)\/(z**(-2\/3)*z*z*z**(2\/65)*z))**(3\/7) assuming z is positive.\nAnswer: z**(-233\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -516671 - -13.\nAnswer: -516658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -62.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**3 + i**2 - 4*i - 2. Let m(a) = 7*a**3 - 2*a**2 + 5*a + 3. Give -3*m(v) - 4*n(v).\nAnswer: 7*v**3 + 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 1. Let n be w(-5). Let b(m) = -m - 3. Let s be b(n). Suppose s*z = -3, -2*u - 5*z - 9 = -4*u. Solve u*v + 11 - 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u + 14*u + 28*u - 43 = 0 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**4 - h**3 - 2*h**2 - h + 1. Let p(f) = -5*f**3 - 4*f**4 + 974 - 8*f**3 - 34*f**2 - 926 - 9*f. Let l(r) = 3*d(r) - p(r). Factor l(n).\nAnswer: (n - 1)*(n + 3)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0141 + 2943653897\nAnswer: 2943653897.0141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 2*b - 104. Suppose 0 = -4*i + 4*f + 5356, 5*i = b*i - f - 4013. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/96 and -109\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(2 + 0 + 2)*(b - 3*b + 3*b)*(5*b - 4*b - 2*b)*(1 - 6 - 3).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2705 - -2633. Which is the nearest to -9? (a) 4 (b) -2\/3 (c) -2\/5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c - 144. Let p(g) = 15*g - 145. What is -3*p(l) + 4*q(l)?\nAnswer: -l - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let i(t) = -78*t + 1. What is l(i(c))?\nAnswer: 6084*c**2 - 156*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34010408 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -348\/7 in -1\/11, 1\/57, 5, 4, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3258358487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310 by -22613.\nAnswer: -310\/22613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10850 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.16 + -0.16. Let v = -4.9 - 0.1. Which is the third biggest value? (a) 0 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in 31, 2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 1824198*g - 277308195267.\nAnswer: -3*(g - 304033)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 18 = 0, 0 = z - 4*x + 2723 - 2761 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 3. Let n(r) = -40*r + 10. Determine -3*n(i) - 10*z(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = -s, -5*s + 25 + 9 = -3*h. Let q(c) = c**3 - 15*c**2 + 2*c + 8. Let j(d) = 2*d**2 - d - 1. Let p(i) = -5*j(i) - q(i). Determine p(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2770884 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2562 divided by 88622.\nAnswer: -1281\/44311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 3 + 62575*w**2 - 62588*w**2 + 0*w. Let n(j) = 4*j + 59*j**2 - 4 + 74*j**2 + 74*j**2 - 221*j**2. What is 3*n(b) - 4*x(b)?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*l - 21*l + 158*l + 15*l.\nAnswer: 231*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(2\/4). Let l(i) = i - 16. Let c be l(14). List the prime factors of (k\/c)\/((-2)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4554385, 4554375, 4554357, 4554331?\nAnswer: 4554297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 - c**2 + 3*c + 1. Let j be o(2). Suppose 4*n = 4*k - 8, 19 = 5*k + n + j*n. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601229359.\nAnswer: 61, 9856219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twtvwttttptwtwt. What is prob of sequence vp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2235*a**2 + 83*a*w + 13962*w - 17 wrt a.\nAnswer: 4470*a + 83*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/308 + (-1742)\/(-22). Suppose w + 2*j = z, 4*j + 334 = 4*w + 3*j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169884, -169886, -169888, -169890, -169892, -169894?\n\"Answer: -2*r - 169882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -16. Let x = 7.5 + v. What is the smallest value in -2, x, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -50.953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*l + 80*l - 15. Calculate the remainder when 313 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1010926.3.\nAnswer: 1010931.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-55))\/12 - (-7)\/(616\/(-118)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1278 - -546. Let g = -1289 + h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46840, -187059, -420764, -747955, -1168632, -1682795, -2290444?\nAnswer: -2991579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 27 - 15*g + 2*g. Let s(j) = -176*j - 9. Let q be s(0). List the prime factors of k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 2344*g\/3 - 2342\/3.\nAnswer: -2*(g - 1171)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2352 = 568*o + 12984 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + (-391 + 436 - (6 - (5 - 3)))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b - 18. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + 80. Let h = -232 + f. Let j = -93.999998 - h. What is j rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.023638 and -84?\nAnswer: 84.023638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Suppose -12 = o - 5*z, l*z + 6 = -o + 21. What is the tens digit of -2 + o - (-1 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.083 - -0.283. Put -3, d, -2 in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2.66\nAnswer: 1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from eslrbbr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 - 337*l - 1025. What is i(-3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3546 and 879014.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 1195052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 7*z**3 + 1448*z**2 + 2277*z**2 + 392*z**2.\nAnswer: -2*z**3 + 4117*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56792460 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 572276.\nAnswer: 171682.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) - -5*(sqrt(210) - (sqrt(210) - sqrt(210)*-2 - sqrt(210))))\/sqrt(5))\/(sqrt(384)*-1*-4).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q + 6*q + 2*q**3 + 2 - 15*q - 2*q**2. Let w(m) = -2*m**3 + 3*m**2 + m - 3. Calculate -3*d(x) - 2*w(x).\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208110 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -30*g**4 + 14*g**3 + 342*g**2 - 14*g - 312 = 0.\nAnswer: -3, -1, 1, 52\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 - -496.\nAnswer: 498.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 11971\/5, 0 in increasing order.\nAnswer: 0, 13, 11971\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 + 184. Which is the closest to 0.1? (a) 1\/4 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/67 and 44\/9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 8*h**4 + h**4 + 2*h**4 - 2*h**4 + h**4 + (h**3 + 4 - 4)*(h - 2*h - h) + h**4 + 0*h**4 - 2*h**4 + (6 + 0 - 2)*(3*h**4 + 4*h**4 - 6*h**4).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63359.02 decades to months.\nAnswer: 7603082.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72213293\/2 or -36106647?\nAnswer: -36106647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/15)\/(17 + (-1004)\/50))\/(6\/28)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184736934251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 2 - ((-221)\/(-119) + (-8)\/(-7)). Are r and -1976 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 + -76. Suppose -l + p = -2*n + 313, n - 2*l - 105 = 0. What are the prime factors of n?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098098191 a multiple of 5179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*n + 4*n = 4, 4*n - 17 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40659723*c**4 + 1543*c**2 - 774 wrt c?\nAnswer: -975833352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let o(v) = 18 - 18 + 3*v. Let a(q) = -3*o(q) - 4*w(q). Let n(y) = 3*y. Calculate a(n(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 10 = -13*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 - 6 + 8*m + 18 - 6*m + (-4*m + 5 - 5)*(-1 + 1 - 2*m).\nAnswer: 4*m**2 + 2*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 1, q: 2, n: 1, f: 1, y: 2, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 40 (c) -4 (d) -1\/2 (e) -64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.075447021 + -16\nAnswer: -16.075447021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k - 45. Let x be g(-14). Let b = x - -248. What is the greatest common factor of 22 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/2 + 53*g**4 - 2913*g**3\/2 + 2756*g**2 - 1352*g.\nAnswer: -g*(g - 52)**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12123 + 1?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5\/40 + z**4\/16 - z**2\/2 - 4. Let m(a) be the second derivative of b(a). Factor m(s).\nAnswer: -3*s*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 + 261246*w\/5 - 2874069\/5.\nAnswer: 3*(w - 11)*(w + 87093)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15553130*x**2 - 137986*x.\nAnswer: -31106260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 2\/13, 2\/11, 2.51, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-22*n**3 + 107*n**3 - n - 6*n)*(-n + n + 5*n).\nAnswer: 425*n**4 - 35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22858761?\nAnswer: 3, 17, 523, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8644835, -17289766, -25934699, -34579634, -43224571, -51869510, -60514451?\n\"Answer: -a**2 - 8644928*a + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:00 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339946, -340012, -340122, -340276, -340474?\nAnswer: -340716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/33, -3, 6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035838454?\nAnswer: 2, 7, 71, 1042091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmmmmmmmmmmz. What is prob of picking 1 z and 3 m?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - -134. Calculate the remainder when d is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 = 37*f + 15 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*1\/2)\/1 - -2. Suppose 24 = s*i - 14*i. What is the tens digit of 3 - (-441)\/6 - 1\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*m - m - 3, -m = s + 8. Let v = s + 4. Which is the second biggest value? (a) -1 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63673.\nAnswer: 41, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*u - 109*u = -5*d + 40, -5*d + 5 = 2*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 18*q**2 + 14*q + 61. Let l(u) = u**3 - 8*u**2 + 6*u + 31. Calculate 4*f(n) - 9*l(n).\nAnswer: 3*n**3 + 2*n - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 44. Suppose -v + 3*v - 8 = 0. Suppose 20 = 2*d + v. What is the least common multiple of d and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27741, 55486, 83233, 110982, 138733, 166486?\nAnswer: 194241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w = -4*t - 263, t - 29300 = -4*w - 29277 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (2 - -1)) + 7. Let r(j) be the first derivative of -j**4 + 0*j - 8 - 4\/5*j**5 + 4\/3*j**3 + 2*j**i. Determine h, given that r(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*u - 2*z, -14*u + 12*u - 5*z = 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let f(i) = -i**2 + 6*i + 4. Let t(q) = -q**3 - 4*q**2 - 2*q - 5. Let x be t(-4). Suppose -4*y - 1 = x. Determine y*f(n) - 5*j(n).\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15484 = -20*p + 22*p, -15490 = -2*p + 2*z. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32928 - 5.083696\nAnswer: -5.412976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/15881 + 31744\/142929. Which is the second smallest value? (a) i (b) 0.1 (c) 0.032 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n**3 - 4*n - 2*n**3 + 28*n**3 + 9*n**2)*(n - 3*n + n) + 0 - n**4 + 0.\nAnswer: n**4 - 9*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 104*y**3 + y + 5. Let t(q) = -311*q**3 - q**2 - 4*q - 14. Let i(b) = 11*h(b) + 4*t(b). List the prime factors of i(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 26. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 4 + sqrt(52) + 1*sqrt(52).\nAnswer: 4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 7:14 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 963\/8 + -1015981\/8440. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13528*b + 13440*b + 1936 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 723 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(72\/75))\/(2160\/576)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 10:34 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3133 or -2\/7?\nAnswer: 2\/3133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + 3 - sqrt(176)*-5)*2.\nAnswer: 6 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + p + 65 = 12*v - 30, -25 = 5*p for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s - 5. Let m(b) = 2*b - 2. Let v = -5 - -7. Suppose -15 = -v*l - 3*l. Let i be m(l). What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*c + 2*y - 20, 3*c = -3*y + 90. Suppose 3*u - u - 2*m = 18, -2*u + c = 5*m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239234.\nAnswer: 2, 23, 48679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 13 = c, 89*x + 4*c - 22 = 91*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 623, 312, -133, -646, -1161?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -41*u + 1225. Let y be c(30). Let g(x) = -10*x - 8. Give g(y).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -230588 and -0.2.\nAnswer: 46117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/17 (b) 124 (c) -3\/5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102022212 + 233?\nAnswer: -102021313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-6))\/6*(-1 + 0). Is y equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(2 - (-62)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 13*c**2 + 11*c. List the prime factors of s(15).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/162 and ((-17)\/(-16 + 84))\/(27\/(-258)).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708248, 1416496, 2124744, 2832992?\nAnswer: 3541240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 15*b**2 - 11*b - 13. Let n be x(-8). Let l(c) = -c**3 + 12*c**2 - 12*c + 15. Let q be l(n). Solve -2*a - q = -3*a + 4*h, 5*h = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m**4 + 20*m - 4*m**2 + 1\/720*m**6 + 0 - 1\/420*m**7 + 0*m**3 + 0*m**5 + 1\/1008*m**8. Solve g(x) = 0 for x.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgasrmmg. What is prob of picking 1 x and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23303102 (base 5) to base 4.\nAnswer: -303332212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 314337.5 years in decades?\nAnswer: 31433.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*d - 19 = 159, -2*g = -4*d - 130. Solve 0 = -g*s - 1003 + 310 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*-2*sqrt(300)*-6 + sqrt(300)*-2 + -2 + sqrt(300) + -1 + -5)**2 + -1)*4.\nAnswer: 16000*sqrt(3) + 750264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 4*l - 352. Find the common denominator of 13\/18 and (7\/4)\/(2\/(l\/5)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19\/22 + 1\/33. Let y = 1.02 + -0.02. Suppose 3 = -5*x - 7. Which is the nearest to y? (a) 0 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v + 6. Solve -v*w + 4*w + 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/7)*b*b\/(b*b**(-8))*b)\/((b*b**3)\/(b\/b**8)) assuming b is positive.\nAnswer: b**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066 (base 9) in base 11?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 8:26 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.154 * 73\nAnswer: 157.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 3. Let n be i(3). Let k(g) = -g - 6. Let u be k(n). Suppose u = -4*y - 3 + 7. Which is the closest to -1? (a) -1\/2 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105441 is divided by 261.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -54. Let z(a) = -2*a**3 + 5*a**2 + 4. Let n(p) = -p**3 + p**2 + 1. What is i*n(w) - z(w)?\nAnswer: -2*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 2*s**2 - 2*s**2)*(2 + 0 + 2)*(-5 + 1 + 5).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*w + 6, -6 = -w - 0*w + 3*y. Let m(d) = -d**2 - d - 4. Calculate m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220, 232, 244?\n\"Answer: 12*q + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0 (b) 0.55 (c) -1\/9488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxo when four letters picked without replacement from cfofoooxcfcff?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-15)\/(-6))\/((-174)\/(-8)). Let f = -21\/116 - i. Put f, 0.4, 4 in increasing order.\nAnswer: f, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let p(g) = 6*g**2 - 1 - g**2 - 4*g**2 + g. Suppose -x = 4*x - 90. Let v(s) = -24*s**2 + 18*s - 18. Let y(h) = x*p(h) - v(h). What is i(y(t))?\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3095892 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35190068961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104.6 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/6 - 7\/21. Suppose 0 = k*o - 20 - 10. Suppose 3*i = 4*i - o. Solve -5*r + i = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 3\/8*w**2 - 54 - 1\/2*w - 1\/12*w**3. Factor l(r).\nAnswer: -(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(2\/7))**(3\/22)*(k**(-4))**(-13\/2) assuming k is positive.\nAnswer: k**(2020\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4322?\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.3 + 46. Let q = s - -0.3. What is the biggest value in -4, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 + 2*g + 3. Let t(h) = h**3 + 5*h**2 + 5*h + 2. Let p be t(-3). Let b be a(p). Calculate the highest common divisor of 95 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 18 = y. Let h be (-11)\/(154\/20)*(2 + y). Let f = h + -50. Is f >= -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11354*m**5 + m**4 - 1481*m**3 + 485*m**2 + 43683*m?\nAnswer: -681240*m**2 + 24*m - 8886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 20*p - 9 = 117, -3*q - 2*p = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:34 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.64 and 17.5.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9 - 122\/6. Let g = -14 - u. Solve 12 = -g*w + 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125875 is divided by 331?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -6*(sqrt(77)*-1 - sqrt(77)) - (sqrt(77)*2*2 - sqrt(77)))*3)\/((6*(sqrt(55)*2 + sqrt(55)))\/(sqrt(100)\/sqrt(5) - sqrt(5))).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101110000?\nAnswer: -101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267038 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(128))*6 + ((sqrt(192) - sqrt(12))\/sqrt(6) + (sqrt(24)\/(sqrt(48) + sqrt(12)))**2)*5.\nAnswer: 118\/9 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8138988 and 2002.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07845 - -0.01155. Let a = -38\/45 + 4\/9. What is the nearest to 2\/3 in a, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3999200 - -437714.\nAnswer: -3561486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + 2*a**2 - 2*a. Let o be b(5). Suppose -3*i + o = 124. Suppose 5*x - i = -3*h, -2*h + 3*x + 50 = -x. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (11 - ((-6 - -18 - 9) + 4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 4*f + 4. Let p be l(3). Suppose -p - 3 = 4*z + 4*h, 5*h = 0. Is 9 a factor of (-3 - z) + -1 - -38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6320, 12655, 18986, 25313, 31636, 37955?\n\"Answer: -2*s**2 + 6341*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/231)\/((-1)\/((-6)\/(-5)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1692191840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -39367 > -905437\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (994\/(-284))\/(165\/(-54) - -3). Solve -4*g = 5*g + k for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29684555 and -0.346161?\nAnswer: 29684555.346161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9398.61 or -1?\nAnswer: 9398.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7562 - -0.8573. Let t = 0.9 + m. What is t rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -3, 8, -4 in descending order.\nAnswer: 8, -3, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -159.319297.\nAnswer: -637.277188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 31*t + 13. Calculate i(30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1537898, 1537897, 1537896?\n\"Answer: -y + 1537899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/6 + 880418*u\/3 - 387567927362\/3 = 0. What is u?\nAnswer: 880418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166079 is divided by 4047?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/3 + 754*c**2\/3 + 14480*c\/3 + 23800 = 0.\nAnswer: -357, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6829 - -6486.6. Round v to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.1, 1\/569, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -44. Find the common denominator of -109\/84 and (8646\/495)\/(f\/15).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 60 - 13*z - 37.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.2. Let w = 2.9253 - 2.9753. What is the second smallest value in -3\/2, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((-2)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (498 - 498 + 32*f)*(1 + 0 + 1)*(-14*f - 4*f + 2*f)*(-1 - 1 - 2).\nAnswer: 4096*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - b - 1. Let k be r(-1). Suppose -2*x = -5*q - x + 59, -q - k*x - 5 = 0. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*z - 24, 3 = 3*z - 4*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339009?\nAnswer: 3, 11, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 381, 432, 505, 600?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 4*g + 5. Suppose -12 - 6 = -3*a. Let c be y(a). Suppose -2*b + 19 + c = 3*s, -b + 39 = 3*s. Calculate the lowest common multiple of 22 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*r + 14, -4*r + 3*r - 3*t + 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.5 (b) -4\/5 (c) 805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 9. Let j be a(-4). Calculate the highest common factor of 30 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -34.9999983. What is q rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31369.611 less than 3?\nAnswer: 31372.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*k + 5*g + 3, 0 = -4*k + 5*g + 5. Let r = 2\/21 - k. Which is smaller: 0.07 or r?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + q + 2. Let o be (-1)\/(-2)*4 + 2. Let t(u) = 16 - 2*u - u - 21 - o*u**2. Give -5*i(r) - 2*t(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 7*l - 2. Let w be j(6). Suppose -3*p - 5 = -w*p. What is the second derivative of -2*o - 4*o**4 + o**4 + o**4 + p*o wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(72)*2)**2 - sqrt(8)*5.\nAnswer: -288 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 125 + 58)*(-3*n + 3*n + 3*n**2)*(-6*n**3 - 9*n**3 + n**3).\nAnswer: 504*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -937.1 + 936.7. What is the nearest to 0 in -4, 0, -12, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/7*s**3 - 36\/7*s**2 + 0 - 3\/7*s**4 - 24\/7*s = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**11*d)\/(d**(1\/8)\/d*d) assuming d is positive.\nAnswer: d**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101102 (base 3) in base 15?\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82879969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3610489 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19635 - -321023294.\nAnswer: 321042929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*4\/((-24)\/((-102)\/(-17)))*17.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2852 = 3*n, -3*m + 3736 = -7*n + 3*n. Which is bigger: n or -10332\/11?\nAnswer: -10332\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bf49f (base 16) to base 13.\nAnswer: a775ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002569826 to five dps.\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2287*h + 7159 = -1123*h - 1055*h + 619 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24cf (base 16) in base 6?\nAnswer: 111343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, 1, 8, -1, -32, -91, -184?\n\"Answer: -u**3 + u**2 + 21*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(-385)*(-14)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.42 + -43. Let d = -0.4200029 + b. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 21. Suppose -3*a - 4*w = -m - 36, 4*w = 3*a - 48. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + (19 + -21)*3. What is z in -3\/4*z - 5\/4*z**2 + 1 + 3\/4*z**3 + 1\/4*z**o = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 4*t**2 + 4*t**2 + (-t - t**2 + 2*t**2 - 5*t**2 + 3)*(-22*t - 475 + 475).\nAnswer: 89*t**3 + 22*t**2 - 66*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1592, -3458, -5324?\nAnswer: -7190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-85 - 201 - 173 - 15)*(0 + 0 + 2*p**2) as k*p**2 + q + d*p and give k.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 19*i**3 + 3*i**2 - 5 + 28*i**4 - 10 + 19*i**3 to the form f*i**3 + q + p*i**4 + y*i**2 + w*i and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001092074 to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3122531, -3122526, -3122517, -3122504, -3122487, -3122466, -3122441?\n\"Answer: 2*c**2 - c - 3122532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/115)\/(2\/1022330) - -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*p**3 + 27507*g*p**2 + g*p - 2*g - 2961016*p**3 - 3*p**2 - p wrt p?\nAnswer: 12*g - 17766096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4792, -9619, -14514, -19513, -24652?\n\"Answer: -6*h**3 + 2*h**2 - 4791*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 10*w - 16. Let c be y(-8). Suppose c = 4*t + 6*t - 800. Calculate the greatest common factor of 40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z*z**(-3)*z)**(-3\/32)\/((z**(-1\/3)*z)\/(z*z*z\/(z*z**(-5\/2)))*((z\/z**6)\/z)\/z**3) assuming z is positive.\nAnswer: z**(1247\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 0*c - 2*c + c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323149023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010*q + 3030*q - 1011*q - 1015*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15633*w - 27. Let o be t(19). What is o rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -65042\nAnswer: 65042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135389592 by -1301823.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*k**2 + 1338*k**2 - 557*k**2.\nAnswer: 118*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-8)\/24*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q + q**2 - q + q**2.\nAnswer: 2*q**2 - 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 5. Let a be y(0). Suppose 3*c + 0*c = -12. Is a > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x - 3*s + 70, 0 = -3*s + 6. Let l = 59 + x. Suppose -5*u + 568 = l. What is the highest common factor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from xttttxttxxxxxxttxtt?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4736*h**5 + 5*h**4 - 13*h**3 - 5661476*h**2 wrt h.\nAnswer: -284160*h**2 + 120*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 21822426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 109326015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/5 + 16*n**3\/15 + 2*n**2\/5 - 16*n\/5 - 55. Let y(i) = 0. Calculate i.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -23. Suppose 2*g + 4*i + d = 5, 5*g = i + 19. Solve 2*n = -g*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 105 + a**2 - 105. Let i(n) = -3*n**2. Give i(l(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*w = -12, 2*x = 5*x + w + 4. Suppose 5*a = 2*b + a, x = -3*b - 2*a. Suppose b = -3*l - 28 + 175. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4\/9, -1\/5, -1\/330 in descending order.\nAnswer: 2\/3, -1\/330, -1\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.139999 + -0.14. Round g to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*q - q. Is q at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100*163958\nAnswer: 16395800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2859030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**2 + 4 - 3 - 3 - 4 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 0. Suppose -5*p + 2*q - 10 = 0, j*p + 3*q - 15 = -p. Suppose p = -5*s + 3*v + 456, -v = 5*s + v - 446. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/14, -41, 1\/3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7243*j**2 - 2 + 2 + 0.\nAnswer: 7243*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150274961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1440)\/(4 - 1)*(5 - 6). Let u = j + -478. Factor -27\/2 - 3\/2*a**u - 15*a.\nAnswer: -3*(a + 1)*(a + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from kkkkkkpp?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:47 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*k**3*s**5 - k**3*s**2 + 2*k**3 + 4067*k*s**2 + 81*s**5 wrt s.\nAnswer: 900*k**3*s**2 + 4860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9313 * -12960.\nAnswer: -120696480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1919 or -1918?\nAnswer: -1918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bac - -3?\nAnswer: -1ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 11*a**2\/2 - 1. Let u(z) = 14*z. Let g(k) = k. Let c(i) = -12*g(i) + u(i). What is f(c(y))?\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.6. Let c = -0.4 - -0.3. Suppose 0 = 2*s - 5*s + 12. What is the second biggest value in s, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*d + 18 = 0, 3*d + 2 = -p + 4*d. What is the biggest value in p, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -179 - -191 - 164*(-3)\/(-42). Factor -p*m**2 - 22\/7*m + 24\/7.\nAnswer: -2*(m - 1)*(m + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z = -53*z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.8 (b) -6 (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -5. What is the remainder when 61 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801388 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30207273, 30207285, 30207297?\nAnswer: 30207309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -23\/294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 4, v: 5, t: 1}. Give prob of picking 1 j, 1 v, 1 h, and 1 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136117062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -10 - 26. Let c = 14 + k. Put c, -5, -3 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k - 2*k - 3*k)*(103 - 103 - 38*k + (2*k + 0*k - 4*k)*(-2 - 2 + 1)).\nAnswer: -416*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52135 or -52136?\nAnswer: -52135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + 32552062?\nAnswer: 32552027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09936 + -2.09936. What is the nearest to b in -0.4, 1, 0.4, 1.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10413 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1876 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-60))\/((-18)\/(-180)*8))\/((-9)\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028072?\nAnswer: 2, 3, 84503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, -0.048, -17\/3, 4\/9, -17?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19.29. Let i = -0.41 + o. Which is the biggest value? (a) -1 (b) -5 (c) i (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/955 and -68\/59019.\nAnswer: 295095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.41 - -0.09. Let z = u + -6. Let y be 4\/48 - (35\/(-15))\/(-7). What is the closest to -2 in 5, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h - 42. Let r(p) = -2*p - 14. Let t(w) = 3*n(w) - 10*r(w). Let a be t(-13). Let d be (8\/(-3))\/(a\/18). Sort 5, -6, d.\nAnswer: -6, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3422.\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4000 and 722640.\nAnswer: 36132000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-88)\/6*9\/2. Let y(t) = 525*t**2 - 16*t - 8. Let z be y(-2). Is (z\/54)\/((-4)\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 2*l - 80 = 12*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 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: What is next in 6, -36, -16, 78, 258?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 7649571*p**2 + 4876408359840*p + 102401202123612.\nAnswer: 3*(p + 21)*(p + 1274918)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*i + 3. Let f be 0 + 14800001 + i\/3. What is f rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (1 - (-1 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - ((-22)\/1 + 11). Factor 1\/2*s**3 + 1\/2*s**y - 1\/2 - 1\/2*s.\nAnswer: (s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5099902 or -5099903?\nAnswer: -5099903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 2*s + 256306*s**2 - 287848*s**2 as r + d*s**2 + c*s and give d.\nAnswer: -31542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1759.96 - 46419.\nAnswer: -48178.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12430 - -12433. Suppose 4*k - 900 = 1620. Calculate the smallest common multiple of v and k.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let u(p) = -6*p. Let x(g) = -2*g**2 - 18*g - 14. Let a be x(-8). Calculate a*u(o) - 4*t(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/105 + u**5\/70 + 6*u. Factor v(i).\nAnswer: 2*i**3*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.826564 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435617079.\nAnswer: 3, 23, 6313291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*w - 5, -5*w - 15*n = -16*n + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -5*u**4\/24 + u**3\/6 + u**2. Let g be y(-4). Let a = g + -10. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.043806714 + -0.0438. What is d rounded to seven decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698 = -34*o + 84. Let k(f) = -f**3 + 22*f**2 + 22*f + 29. What is k(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -112?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1 - 0)*0. Suppose 341 = 50*h - 19*h. Solve -h*s + 6*s + 20 = z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -2*l + 2*u, -3*l + 137 + 40 = 4*u. Let c = l - 25. Solve 2*o - a + 0*a + 8 = 0, -5*o = -5*a + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 = -1. Which is the closest to g? (a) 1\/6 (b) -3\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 4)\/((-43)\/418347)?\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*a = -4, 0 = -3*h + 4*a + 13 - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 187.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34931453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -82407 and -24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 16, c: 4}. Give prob of picking 3 b.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*z = -133, 2*u + 4*z + 23 = -73. Let a = u + 34. Let i = 0 - a. Calculate the remainder when 21 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/(-6) + 712\/(-979)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and 33\/6679912.\nAnswer: 46759384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + -9 - -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1 + 4\/5*u**5 - 2\/3*u**6 + u**4 + 0*u**2 + 0*u**3 - 4\/21*u**7 - 16*u. Let r(t) = 0. What is t?\nAnswer: -3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -52, 0.4, -0.1, 4, 1\/4 in descending order.\nAnswer: 4, 0.4, 1\/4, -0.1, -1\/2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((-1*sqrt(700) - sqrt(700)) + sqrt(700)) - sqrt(700)) + 0 + ((sqrt(700) - sqrt(700)*-1) + -4 - (sqrt(700) + 2*(sqrt(700) + 0) + sqrt(700))))**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 44, 78, 114, 152?\n\"Answer: h**2 + 29*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53024423 is divided by 2651221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 0.19. What is the third smallest value in -5, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 49 (c) 3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**3\/3 - y. Let p(u) = 3*u**2 + 2*u. Let o(s) = -s**2 - s. Let j(x) = 4*o(x) + 2*p(x). Give j(a(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35, -5, 5, -3, 42.\nAnswer: -35, -5, -3, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) - (sqrt(225) - -5*sqrt(225))).\nAnswer: -sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 25. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {r: 1, l: 2, m: 3, a: 3, z: 1, k: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3462*o**2. Let a(f) = -303893*f**2. Calculate q(a(y)).\nAnswer: 319719007764438*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -1, 4, -709, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0452 * 0.0612694\nAnswer: -0.00276937688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - u**2 - 89*u + 9. Let c be j(-9). Let f(n) = -2*n**2 - 3. Calculate f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 4*k + 2. Let z(h) = -5*h**3 + 37*h**2 - 11*h - 1. What is the smallest common multiple of u(-3) and z(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598*l - 1568*l - 720 = 0 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(-1*sqrt(200) + sqrt(200) - sqrt(200)))\/sqrt(4))\/((sqrt(2880)*3)\/sqrt(2)*6).\nAnswer: -sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -4, 2\/9 in ascending order.\nAnswer: -26, -4, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1186497150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4\/7 + 243*u**3\/7 + 2229*u**2\/7 - 8343*u\/7 + 5874\/7 = 0. What is u?\nAnswer: -11, 1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:20 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16007 (base 16) to base 7\nAnswer: 523511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 4*g - 1 + 0*g)*(-2 + 1 + 0).\nAnswer: 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 157.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/110*(-2365)\/(-1075).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceceeceeee. What is prob of picking 3 c and 1 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83541832.\nAnswer: 2, 11, 97, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235789 is divided by 3101.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245976046*b**2*q + 555*b**2 - 17*b - 1002 with respect to q.\nAnswer: 245976046*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412 + 280. Let p = 194 + i. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = -3*t, 5*t = -7*h + 2*h + 50. Let d be ((-3)\/9*0)\/2. Let f = d + t. Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19054, 38160, 57260, 76354, 95442, 114524?\nAnswer: 133600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 49*i**2 - 34*i - 600. Is q(-49) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.85 - 7.8967. Round h to 3 decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 0.9000008. What is m rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l - 152. Let f be g(0). What are the prime factors of 19\/(f\/(-2976)) - -4?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:00 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/96 and 107\/25707332.\nAnswer: 616975968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -23. Factor -6 + 0 + 1 + x**2 + g.\nAnswer: (x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) 0 (c) 2\/5 (d) 4 (e) 0.5 (f) -1\/137471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -141 + 78. Suppose 0 = -m*d + 1594 + 1759. List the prime factors of d.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31999416 and 29332798?\nAnswer: 351993576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6295 is divided by 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.194 + 11.994. Which is the nearest to 0? (a) -0.08 (b) z (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 21. Suppose 0 = -2*u + k*u. Let n be -2*(u - -1) + 14. Calculate the highest common factor of n and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-28)\/(-21)))\/(6\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 162622, 162709, 162862, 163087, 163390, 163777, 164254?\n\"Answer: l**3 + 27*l**2 - l + 162595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 4, r: 3, g: 1, x: 6}. Give prob of sequence grz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 + 36 = -3*q, -3*c + 3*q = -27. Let n be 2\/(-2)*(-56)\/c. Suppose n*z - 29 = 31. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-210)\/48)\/((-91)\/728))\/((-1)\/1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22880*x + 228803. What is n(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*j**2 - 249*j**2 - 254*j**2 + 753*j**2 - 811 to the form l*j**2 + m*j + b and give b.\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*z**2 - z**2 + 6*z**2 - 25*z**2 to n*z + k + m*z**2 and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5792.904+0.054\nAnswer: -5792.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/((-483)\/(-23)))\/(2*1\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*v**2 - 403*v + 403*v.\nAnswer: -569*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 26 = -14. Suppose -84 - m = -4*k. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26431469700 rounded to the nearest 1000000?\nAnswer: 26431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (8 + 0)*(266228\/209 + (-2)\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 9. Let d be k(10). What are the prime factors of 6\/39 - 930\/d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 487\/1205 + -1\/241. What is the closest to 1.3 in 1, l, 1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/29, 0.06, -5910 in decreasing order.\nAnswer: 0.06, -2\/29, -4, -5910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33961 is divided by 138?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2332199 and 11525.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.7814 (b) 2\/7 (c) 2\/11 (d) 2 (e) 2\/5 (f) 157 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 84684002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.06 (b) 0.11185 (c) 1 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i*p**3 - 42*i*p + 148*i - 8*p**3 + 54*p**2 - 2*p wrt p?\nAnswer: 54*i*p - 48*p + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 6:10 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/6 + 3)*0. Suppose c = -j - 3*j + 36. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -2061, -4666, -8345, -13122, -19021, -26066?\nAnswer: -34281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 14 = 94*y - 91*y - p, 3*y + 14*p = -98 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, u: 2}. What is prob of sequence yyy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/41 + 47\/123. What is the nearest to q in 1\/5, -1, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 + 13 - 2*r)*(1 + 2 - 1).\nAnswer: -4*r + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -8. What is the common denominator of -41\/2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + o)*(-5*o**2 + 2*o**2 - 6*o**2) + (-2 - 2 + 6)*(4*o**2 - 4*o**2 - 3*o**3) + 3*o**3 - o**3 + o**3 + 42*o**3 + 12*o**3 - 13*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s**2 + 10 - s + 4*s + 25*s**2 - 3 to h + n*s**2 + j*s and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/130*(-49820)\/(-318).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:34 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20566*-109\nAnswer: -2241694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -35*s**3 + 4*s**2 - s - 2. Let w be a(1). Calculate the remainder when 43 is divided by (6 + w\/6)\/(2\/108).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 3 + -16 + -11 + 22 + -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103224541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*p**5\/3 + 4796*p**4\/3 - 14728*p**3\/3 - 103736*p**2\/3 - 15732*p + 53460 = 0. What is p?\nAnswer: -11, -27\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-25))\/(-2 - (-6)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 738 and -0.72371.\nAnswer: 737.27629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.25997 litres to millilitres.\nAnswer: 259.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -694\/47 or -14?\nAnswer: -694\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 + 3*a + 3. Let l(g) = 11*g**2 - 5*g - 5. Let m be (-30 + 2)\/4*1. Let b = 2 + m. What is b*h(y) - 3*l(y)?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12221210 (base 3) to base 2\nAnswer: 1000011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-899 + 7)*1\/(-4). Let h = p - 134. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -215, -201, -173, -125, -51, 55, 199, 387?\n\"Answer: w**3 + w**2 + 4*w - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:12 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p**2 - p. Let m be t(0). Let o(i) = i**2 - 3. Give o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*s**4 + 526*s**4 + 27 - 193*s**4 with respect to s.\nAnswer: 508*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*3.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.9 - -26. Which is the third smallest value? (a) o (b) 4 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2886208 (base 9) to base 7\nAnswer: -16351202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 106*h - 2 - 101*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let g = w - -1. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174754910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 10*x**2 + x - 70. Let m be s(-11). Solve -5*b + m = 3*l, 4*l - 20 = l - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -63*b - 10. Let n be l(-1). Suppose -48 + n = 5*j. Sort j, -2, 0, -17 in descending order.\nAnswer: j, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 11 + 3*i**3 - 12 + 23.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -6, 365, -4 in increasing order.\nAnswer: -28, -6, -4, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 3, 4.\nAnswer: -147, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -129*g - 520. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/5 - 42*v**4\/5 - 22*v**3 - 6*v**2 + 112*v\/5 + 72\/5 = 0. What is v?\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.84*-0.1.\nAnswer: 1.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(20)\/(sqrt(10)*2)) - sqrt(30)\/(sqrt(24) + sqrt(96)).\nAnswer: 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/117 + (-268)\/8415. Let r = -4\/55 + x. Which is the closest to 1\/3? (a) r (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 + 1877\/9. Let b = -1\/9 - d. Factor -w + 0 + 0*w**4 - 2*w**3 + b*w**5 - 8\/3*w**2.\nAnswer: w*(w - 3)*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242*h**2*p + 6*h**2 + p**3 - 57 wrt p.\nAnswer: -242*h**2 + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713*b**2 - b**3 + 713*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 340*n - 1. Let f(z) = 2*z. Give f(j(l)).\nAnswer: 680*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -163, -170, -177, -184?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60*34695\nAnswer: 2081700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 381, 1469, 3281, 5817, 9077, 13061, 17769?\n\"Answer: 362*g**2 + 2*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/341864 and 121\/888?\nAnswer: 37946904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**27*l**1*l)\/(l**(5\/11)*l)**(6\/11) assuming l is positive.\nAnswer: l**(-3000\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 41*b**2 - 18*b - 35. Let w be d(-20). Let v be (-2025)\/w*(-2 + 1). What is the third smallest value in v, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (358*w + 2 + 2 - 161*w)*(0*w**3 - w**3 - w**3).\nAnswer: -394*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303*h**2 - 2*h**3 - 1303*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031221 + 0?\nAnswer: 1031221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - c - 4*c + 40 = 0, -3*t + 28 = 10*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813*w = -822*w. Let c(h) be the third derivative of 0*h + 1\/6*h**3 + 4*h**2 + w - 5\/24*h**4. What is the derivative of c(g) wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467788 = -7379*z + 7290*z. What is the highest common divisor of z and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 1 (c) 0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -7 - -2 - -69. What are the prime factors of q*((-14)\/(-3) + -4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*k - 2*b + 30, -k + 4 = -b. Solve k = -u + 4*y, 2*y = -6*u + u - 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose 3*m + 0 - g = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 11*p**2 - 4*p + 30. What is w(-9)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -521*f. Let u(o) be the second derivative of -3*o**3\/2 + 767*o + 1. Give u(w(z)).\nAnswer: 4689*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 209710422 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**17)**(-47))**(7\/5))**(4\/11))**16 assuming z is positive.\nAnswer: z**(-357952\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/15*3)\/(((-1886)\/(-2185))\/(-41)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 - 46\/5. Let m = 33 + -39. Let j = m - a. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/((-3)\/5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:50 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d\/d**(1\/5))\/d))**(1\/2)*d**(-2)\/d**19 assuming d is positive.\nAnswer: d**(-199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 - y - 12*y**2 + y**3 + y**3 + 4*y**2 to the form s*y**3 + z*y + f*y**2 + a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (738\/29110)\/((-15)\/(-2)*(-38)\/950).\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 3. Let k be z(-2). Suppose -k*n + 148 = -362. Suppose 0 = -6*a + n + 96. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96221.8 to the nearest one hundred.\nAnswer: 96200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19999 is divided by 1121?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 45*i - 25*i. Solve i*q + q = -9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5a2 (base 12) to base 14\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21801538 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/17, 0, -0.4, 4, 3\/11.\nAnswer: -0.4, -6\/17, 0, 3\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*u = 7*p - 30, 5*p - 4*u = 50. Find b, given that 32 - 9*b**4 + 40*b**2 + 101*b**5 + 72*b + 0*b**4 - p*b**3 - 103*b**5 - 3*b**4 = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 94 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1350 - 45 - 124 = 22*k, -10 = 2*i for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 119 = 213. Let g = 108 - 279. Let q = g + u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from droo. What is prob of sequence oo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9.09 - -0.34\nAnswer: 9.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 33 (b) 1\/6 (c) 4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*y + 6*y - 20, -4*p + 16 = 3*y. Suppose -4*d + 25 = 5*t + d, p*t + 4 = 4*d. What is the lowest common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r**2 + 4*r - 3. Let u be (-2)\/(-1 - (-3)\/2). Let p be h(u). Let x = p - 144. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 9586055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 35 = -38. What is the third derivative of -v*w**2 - 5*w**6 + 10*w**2 + 9*w**2 wrt w?\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1773314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 5*j - 2*f - 64, -5*j = f - 61. Suppose 27*l - 23*l - 4*q = 56, -3*l = -4*q - 44. Calculate the greatest common factor of j and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t = 30*t + 10. Suppose 3*h - 6 = 0, -t*d = -5*h - 0*h + 60. Let j be ((16\/(-10))\/4)\/(15\/d). Which is the closest to 0? (a) j (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 6. Let g(p) = -7 + 8*p - p**i + 5 - 7. Let c be g(6). Solve 0*v + c = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 20*d - 22. Solve -4*g - 14 = -d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -204?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1053))*-6 + ((sqrt(1053) + 2 + sqrt(1053))*-5)**2 + (sqrt(130)\/(sqrt(250) - sqrt(10)) - (sqrt(13) + sqrt(208)*1 + sqrt(208)))**2*-5.\nAnswer: 1746*sqrt(13) + 1606871\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**1)**(-2)*(d**1\/d*d)**(-26))**(-1\/7))**29 assuming d is positive.\nAnswer: d**(928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**5\/330 + j**4\/44 - 2*j**3\/33 + j**2 - 4. Let v(b) be the second derivative of p(b). Let v(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 39*h, 56*p + 3*h = 52*p - 51 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 1768204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n - 2. Let b be o(0). Let z be (-7)\/(2\/b) - 2. What are the prime factors of 83\/z + 21\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*y - 20, -y + 6*y - 2*n - 16 = 0. Suppose -34*b = -30*b - 32. Suppose -r + b = -5*j, y - 3 = j. Solve -r*k = -2*k + 3*d - 4, 20 = 5*k + d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 18. Let o(v) = v + 16. Let x(g) = 4*o(g) - 3*y(g). Let n(h) = -3*h. Calculate n(x(j)).\nAnswer: -12*j - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(19) + -1 + 0 - sqrt(114)\/(sqrt(6)*-1 - sqrt(6))))*-4*-4*-5)**2.\nAnswer: -19200*sqrt(19) + 280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 201935730 divided by 7706\nAnswer: 26205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 56 = 15*w - 10*w, -3*g + 156 = 3*w. Let z(b) = -153*b**3 - 7*b**2 - 7*b. Let y be z(-1). Calculate the highest common divisor of y and g.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by 13534?\nAnswer: 143\/6767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2493241206.9 to the nearest one hundred thousand.\nAnswer: 2493200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -31 - 3*1\/3. Is -2 - (k + 2 + 1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 41, 77, 147, 263, 437, 681, 1007?\n\"Answer: 2*a**3 - a**2 + 3*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -214, -472, -690, -850, -934, -924?\n\"Answer: 3*z**3 + 2*z**2 - 285*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 3, x: 6, f: 2, z: 1}. Give prob of sequence flx.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 22196.918 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 365 + -365.0422. Round k to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412172497.\nAnswer: 11, 17, 31, 97, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5 + 9. Sort -2, 0, a, -5 in descending order.\nAnswer: a, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 13*a + 18*a - 7*a**2 - 7*a - 12*a**2 to s + v*a + k*a**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.942819 millilitres in litres?\nAnswer: 0.003942819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 + -51 - 9) + (0 - 47).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -25. Let h be ((-78)\/4)\/(39\/(-52)). Suppose -h*p + 22*p = 16. Which is bigger: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:32 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8448 divided by -48\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let z(d) = -d**3 + 3*d**2 + 4*d + 2. Let a be z(4). Are a and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -602, -600, -598, -596?\n\"Answer: 2*j - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 2, n: 3, k: 7, p: 4, e: 1}. Give prob of sequence pne.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1269828 - 827257. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, -52, -1, 0 in decreasing order.\nAnswer: 2, 0, -1, -2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 15*n - 75. Let l be r(11). Solve 4*a - l*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 - 104*q**2 + 16*q - 74. Give k(20).\nAnswer: -1354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 5*c - 14. Let y be m(-5). Let p = y - 32. Suppose -p + 3 = -13*g. Solve v + 2*v + 5 = -2*w, 5*v + 19 = g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*t = 294*t - 192. Solve -t = 7*g - 41 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378649 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/376 and 26\/3.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002633 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1980\/264*(-8)\/(-10)*-2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/10616 and 71\/1256?\nAnswer: 1666712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k - 4. Let v be r(-5). Suppose 55*s - 18 = 49*s. Let f(l) = -5*l**2 + 1. Let h be f(1). Sort h, s, v in decreasing order.\nAnswer: s, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 33.1. Let i = -0.0999926 - q. Round i to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6247, -5837, -5117, -4057, -2627, -797?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/180 + 13*r**5\/30 + 143*r**4\/36 + 35*r**3\/3 + 771*r**2. Solve i(a) = 0.\nAnswer: -35, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912750 divided by -5?\nAnswer: -382550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 2:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33031*f**3*q**3 + 15*f**3*q + f**3 - 3*f*q**3 + 1770*q**2 wrt q.\nAnswer: 198186*f**3 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/12)\/(1\/2). Let g be (-1)\/((4\/(-8))\/d). Let h be -1 - 284\/8*g. Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-7)*(-63)\/27*57. Let b = -51 - y. What are the prime factors of b?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = -6. Suppose d*v + 16 = 4*g, 2*g - v - 19 = -11. Let a = 4 - 0. Calculate the lowest common multiple of a and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 169*r**7\/560 - 221*r**6\/160 + 7*r**5\/5 - r**4\/2 + 56*r**2. Determine i, given that j(i) = 0.\nAnswer: 0, 4\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*b**4\/4 + 63*b**3\/2 - 231*b**2\/4 + 45*b\/2 = 0. Calculate b.\nAnswer: -10, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-15*l - 9*l - 4*l + (5 - 1 + 4)*(-3*l + 4*l - 3 + 1)).\nAnswer: -20*l - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 452 - 37*x - 446 + 8*x in the form v*x + m and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15*l - 1. Let a be b(-1). Let h(u) = 7*u + 7. Let j(g) be the first derivative of 10*g**2 + 20*g + 3. What is a*h(o) - 5*j(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from vlvvl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -325*d**2. Let s(w) = 11*w**2. Calculate s(x(u)).\nAnswer: 1161875*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.683995192 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 558\/7. Let n = 0.4 - 0.3. Which is the second smallest value? (a) 4 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1180388 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/v**12*(v\/(v**(-1)\/v))\/(v\/v**7) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 23283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 98*o**2 - 244*o**3 + 9*o**3 + o**3.\nAnswer: -234*o**3 - 98*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**7*l)\/l)\/((l*l*l**(-1))\/l))\/((l**(1\/7)*l)\/l**(2\/5)) assuming l is positive.\nAnswer: l**(289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 11*j + 10. Let s be l(-7). Let q = s - 48. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -109 + 694. Calculate the common denominator of 4 + (-1274)\/k*2\/7 and 65\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/274 in -7, -5\/7, -5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 671920 divided by 83990\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*a**2*g**3*u**3 + 4*a**2*g**3*u - 2*a**2*g**2 - 4*a**2*g*u**3 + 3*a**2*g*u + 2*g**3*u wrt u.\nAnswer: 246*a**2*g**3*u - 24*a**2*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Let v be (2 - 0)*(-1)\/(-2). Let d = g + v. Solve d*p + 0*u = 4*u - 9, -p = -2*u - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/83? (a) -47\/6 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 147*g + 4. Let h be v(-1). Let c = h - -218. Suppose -t - 4*t = -c. What is the least common multiple of 33 and t?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81970 and 76370?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37138621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276*n**3 - 544*n**3 - 385*n**3)*(-4*n + 3*n + 3*n).\nAnswer: -1306*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846, 1643, 2448, 3261, 4082, 4911, 5748?\nAnswer: 6593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from {z: 9, u: 3}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 287887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5518*l**3 + 3*l**2 - 3*l + 1. Is r(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(56)\/(sqrt(8)*2)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -41796*p. Let k(f) = -f**2. What is k(o(g))?\nAnswer: -1746905616*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 42*a**3 - 20 - 41*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeeaeeeae. Give prob of picking 3 e.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39392.01662 rounded to the nearest ten?\nAnswer: 39390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40497458993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407455.\nAnswer: 5, 7, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*x - x + 5, -3*m + 2 = -2*x. Let a be m\/(-1) - 3\/(-1). Is 9*((-10)\/a)\/(-5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -3\/7928?\nAnswer: 15856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigiggiiiiiiigiiiii. Give prob of picking 1 g and 2 i.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 81)*115094\/249. Let p = x + 36054. What is the common denominator of -51\/7 and p?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6 + 8 + x - 2. Let k(d) = 2*d. Determine k(t(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36255?\nAnswer: 3, 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 1. Let m be x(-1). Let b = 136 - 161. Let u(k) = k**2 + 26*k + 28. Let z be u(b). Solve 5*j - 12 - z = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzdzdwzddddzwlddz. What is prob of sequence dl?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let b(z) = 12*z**2 - 12 + z**2 + 2*z**2 + 12*z**2 + 37*z**2. What is b(p(i))?\nAnswer: 64*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(208)*6*4)**2.\nAnswer: 2995200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.98 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*k - k + 10 = 0, 2*l = -k + 20. Let j = -7 + l. Suppose 3*m = -j + 12. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52c - 6c?\nAnswer: -59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (14 - 16)\/(1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 41*d - 1632*d**3 - 222*d + 77*d**3 - 55*d.\nAnswer: -1555*d**3 - 236*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a (base 13) in base 12?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(70)*2)\/sqrt(10) + 0 + sqrt(847) + (sqrt(847) - sqrt(847)*-1))**2 + 3 + 5.\nAnswer: -280*sqrt(7) + 8599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 50. Let y = -21.4 + v. Let r = -2 - -2.5. Sort y, -1, r in descending order.\nAnswer: r, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 315999, 316005, 316025, 316065, 316131, 316229, 316365, 316545?\n\"Answer: d**3 + d**2 - 4*d + 316001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 1366, 3051, 5412, 8449, 12162?\nAnswer: 16551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let t(c) = -72*c - 14. Let x(z) be the second derivative of 35*z**3\/6 + 3*z**2 - 152*z. Let g(b) = -3*t(b) - 7*x(b). Calculate g(v(q)).\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 371829803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -850134167850562 + 850134225866509.1199827. Let w = k - 58015950. Let s = 2.88 + w. Round s to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-5))\/((-2)\/(-10)). Let h be 0*(((-13)\/(-8))\/((-2)\/8) + 7). Let j = 2.5 + -2. What is the closest to h in q, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 1929*v**2.\nAnswer: 1929*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 412388381 to the power of 1\/2, to the nearest integer?\nAnswer: 20307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-6))\/((-1)\/(-2)). Let g = -2.85 + 3.25. Which is the second smallest value? (a) n (b) g (c) -7\/5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12569 - 12563. Solve k = -4*g - 5, 5*g = -5*k + x*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 0, -7*q + 3*q = 5*r - 25. Let f(c) = -c**3 + 6*c**2 - c + 7. Let d be f(6). Sort r, d, -1 in decreasing order.\nAnswer: r, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8 - 4\/8. Suppose 5*b = -j + 40. Solve 0 = -4*w - b, -2*x - 2*w - 12 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1590 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 - 5*x + 7. Determine r(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/((-9604)\/25725)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n + 112. Let r be j(-10). Find the third derivative of -2*h**4 + 650*h**2 - 212*h**6 - 545*h**r + 2*h**4 wrt h.\nAnswer: -25440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 30, 85, 182, 333, 550, 845, 1230?\n\"Answer: 2*m**3 + 3*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 9 = 2*x, -3*r - 11 = -2*x - 0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 25*a + 1. Calculate k(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**3 + 745*g**2 + 85*g - 24. What is the remainder when 2188 is divided by y(-93)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*u - 7*u = 64, -22*a + 2*u = -18*a - 54 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 34032096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45*84\/20790)\/((-4)\/(-6)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minus -15?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 52\/5, 11, -1\/4, 0.3, 17\/6.\nAnswer: -34, -1\/4, 0.3, 17\/6, 52\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224 - -225. What is the nearest to b in 3, 1\/4, -21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*n + 22. Factor -2\/5*x**5 + 0 - 6\/5*x**n - 2\/5*x**2 - 6\/5*x**4 + 0*x.\nAnswer: -2*x**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 19057361*d - 19057261*d - 2781 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/4 - 312*k**2 - 97344*k = 0. Calculate k.\nAnswer: -624, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*o + 20 = 0, 4*j + 4 = 2*j + 2*o. Suppose -5*p + 381 = 3*b - 0*b, 296 = 4*p - j*b. Round p to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gff when three letters picked without replacement from {f: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73814790.\nAnswer: 2, 3, 5, 7, 313, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 660, 1006, 1356, 1710?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 - 61*j**3\/4 + 312*j**2 - 2241*j + 1944.\nAnswer: (j - 24)*(j - 18)**2*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 + 205520051*c\/5 - 51380013\/5.\nAnswer: (c + 51380013)*(4*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/27, 0.5, -158 in descending order.\nAnswer: 0.5, 1\/27, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 8*k**2 + 23*k - 14. Let z be g(-11). Let u = z - -33392\/53. Which is the nearest to -0.2? (a) u (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989830752?\nAnswer: 2, 7, 13, 109, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (10 - 16) + (7 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-3)\/(-27). Which is the nearest to -0.06? (a) t (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248790*s*w**2 + 116296*s + 2*w**2 wrt w?\nAnswer: -497580*s*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-692 - 39*a**2 + 692)*(-1 - 4 + 0) + 3*a - 3*a - a**2.\nAnswer: 194*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 + 70\/(12 + -5). Suppose 358*v - 352*v - d = 0. Solve v*z - 4 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033600 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 54 = 79. Suppose -b*p - 316 = l, -5*p + 4*p = 5*l + 44. Calculate the common denominator of 13\/p - (-14)\/(-112) and -19\/10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**5 - 909*m**4 + 73661*m wrt m?\nAnswer: -360*m**3 - 10908*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -870812, -1741625, -2612438, -3483251, -4354064?\n\"Answer: -870813*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*k - 2505 = 0, 4*f + k + k = 5034. List the prime factors of f.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*a**3 - 320*a**3 + 8*a - 6*a - 2*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 33*z - 633. What is x(47)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**3 - 293*j**2 - 54151*j.\nAnswer: 24*j - 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/210)\/(10\/105)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 185*n + 377*n - 190*n)*(3*n**2 - 3*n**2 - n**4).\nAnswer: -2*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/6 - 508*c. Let f(m) be the first derivative of 0 + 5 + m**2 - 2. Calculate b(f(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6677 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o - 780 + 1943 - 995 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7202?\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r - 5*m - 31, 0 = -4*m + 4. What is the greatest common divisor of 162 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2003278 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -99, -153, -209, -267, -327?\n\"Answer: -a**2 - 49*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 27. Suppose -d = d - 22. Suppose x - 4*v + d = 0, -5*x + 3*v - 1 + 14 = 0. Calculate the remainder when z is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2419, -7480, -15915, -27724, -42907, -61464?\nAnswer: -83395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/(b\/(b*b\/(b\/(b\/((b\/b**(1\/6))\/b))*b))))**17\/(b**(5\/2)*b\/b**(2\/11))**(-40) assuming b is positive.\nAnswer: b**(14557\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4535089 to 2 dps.\nAnswer: 2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/1685 and -103\/103370.\nAnswer: 34835690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + ((-8)\/14)\/(8\/28). Suppose -3*y + 2*q + 22 = -k*q, 3*y = -3*q - 3. Calculate the highest common divisor of 12 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210789 and 2169?\nAnswer: 50800149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5602 + 16604\/3. Let s = o - -68. What is the closest to 2 in s, 5, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*i = -537 + 18073 + 2741 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.476055 millennia?\nAnswer: 41712.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.009 at least as big as -57459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16502.\nAnswer: 2, 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*s = -48*s + 57*s - 41724. Calculate the least common multiple of 684 and s.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 0*o + o**3 + 3*o - 5*o**2 - 3 + 6*o. Let u be y(7). Is u\/20 - 190*-19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511474 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: Suppose 69 = -0*a - 3*a. Let p(o) = -45*o + 2. Let d be p(-1). Let n = d + a. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/120 - 7*n**5\/60 + 13*n**4\/24 - 11*n**3\/2 + 2096*n**2 - 2. Calculate y(8).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1469 + 287. List the prime factors of d.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10167675 and 10500.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 - (-70 + 97 + -35)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + b, 3*b - 2*b = 2*d + 12. Let l be (-1)\/((d\/131)\/(-4)). Let x = 218 + l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (-1 + -22)) + 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + f - 1. Let a be z(0). Let p(d) be the second derivative of 3*d**5\/20 + d**3\/6 + d**2\/2 - 4*d. Let r be p(a). Is r > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5513.9999984292 + -5514. What is y rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdzwc. What is prob of sequence wcg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, -4, 1.688 in descending order.\nAnswer: 1.688, -4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/107)*b**(-1\/12)\/b assuming b is positive.\nAnswer: b**(-131\/1284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 70 + 26. Let w be (1\/(-10))\/(4\/b). What is h in -2\/5*h**3 + 0*h**2 - w + 6\/5*h = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5*j\/(j*j**(-2\/3)))**1)**49)**(-20\/3) assuming j is positive.\nAnswer: j**(-16660\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3*k**6\/40 + k**5\/30 + k**4\/6 - 5*k**3 + 16. Let v(m) be the third derivative of a(m). Does 8 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16835939 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56083930 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 l when four letters picked without replacement from zzllzzlz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.39 and -566.\nAnswer: -1352.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 67 (b) -3\/8 (c) -1\/5 (d) 3\/4 (e) 20\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 1, z: 2}. Give prob of sequence zbu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) - (sqrt(1300) + 2 + 1*sqrt(1300) + sqrt(1300))**2.\nAnswer: -11704 - 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -501166, -501419, -501674, -501931?\n\"Answer: -l**2 - 250*l - 500915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 3. Let h be 8\/(-6)*(-3)\/g. Solve -3*t + 3 = -h*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010 - 11101010100010?\nAnswer: -11101101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*t + 468*t - 1431*t + 472*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17911\/23300 + -187\/466. Calculate the common denominator of a and 67\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1966*q + 1971*q + 0 = 4*t - 9, 0 = 4*t - 4*q - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {c: 5, q: 2, v: 3, n: 5, k: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 40.8 (b) -37 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/3))**29\/(((b*b**(-6))\/b)\/b**(-28\/3)))**3 assuming b is positive.\nAnswer: b**106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/445149144?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5 (b) -1 (c) -10 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 16 + 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 6*-1*sqrt(68) + sqrt(68) + (sqrt(68) - (-6*sqrt(68)*2 + sqrt(68))) + sqrt(68))\/(4*((sqrt(4) - -1*sqrt(484)) + sqrt(24)\/(1*sqrt(6)))).\nAnswer: 9*sqrt(17)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/4 - -2 - (-1817)\/(-632) and -46\/117.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Let v be (y - 0)*3\/6. Put -0.3, -2, v in descending order.\nAnswer: -0.3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 + 21 = 0. Suppose -15 = 5*x - b*x - 4*y, 2*y + 78 = 4*x. Calculate the highest common factor of 703 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -24. Suppose -27 = -o - 5*b, -2*b + 3*b = -3*o + 95. Let t = -18 + o. Calculate the greatest common divisor of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 22781637?\nAnswer: -4\/22781637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.178938 nanograms to milligrams.\nAnswer: 0.000000178938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2273302 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -16?\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 2*b**2 - b. Suppose -4*q - 9 = -5. What is the smallest common multiple of l(2) and (q\/(-2))\/((-5)\/(-160))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-13) + (-2)\/(-2). Let h = -16633.1 - -16632.1. Put 1, 1\/5, t, h in decreasing order.\nAnswer: 1, 1\/5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76203 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 866.1164 centimeters?\nAnswer: 0.008661164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m + 7. Let j be f(0). Let y(u) = 2*u - 9. Let i be y(j). Let z be (6\/45)\/((-3)\/i). What is the second smallest value in z, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4277862 (base 9) in base 6?\nAnswer: -121111432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 83, 90, 97, 104, 111?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 16*t + 22. Let f = -50 - -59. Let w be z(f). Solve w*o + 7 - 3 = 0, 2*q - 1 = 3*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2)\/(-20)*2961\/329.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 745 = 4*r, 5*p + r - 639 = 81. List the prime factors of p.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69226 minus 0.7?\nAnswer: 0.99226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*o + 5)*(4 - 4 - 1) + 2 - o - 2.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c**3 + c**2. Suppose -5*t + 5 = 4*b - 4*t, -5*b + 5*t = 0. Determine d(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.89 - -13. Let v = n - -0.09. What is the closest to v in 1\/2, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2944*y**3 - 1184*y**3 + 0 - 426*y**3 + 0.\nAnswer: -4554*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5))**2*5 + sqrt(5) + 3*(sqrt(5)*5)**2.\nAnswer: sqrt(5) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11224*z**2 - 23590 wrt z?\nAnswer: -22448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*w = -1044, 10*x - 8*x - 689 = 5*w. What is the lowest common multiple of 66 and x?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-18))\/(2\/12). Suppose -3*z = c*z - 20. Let i(w) = -2*w + 48. Let d be i(22). Are z and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/1649?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -21.7. Let o = y + 0.7. Let z = 1.5 + o. Put z, 1\/4, -0.4 in decreasing order.\nAnswer: 1\/4, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/((-1)\/(-1)). Suppose -20 = -c*s + 5*s. Let d be s\/63 - 6\/(-21). Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 32 = 206. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16005006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -37*w - 5. What is the remainder when o(-2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.36 + 1.2. Let p = s + -0.04. What is the nearest to 0 in p, -2\/9, 6\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5061)\/(-964))\/(3\/(-16)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:39 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 12. Let x = g + 12. Let q be -3*(1 - 46\/42). Which is the third smallest value? (a) x (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -309 + 304. Which is smaller: -120 or j?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2132\/9 + 237. Put -4\/5, b, 0.12 in decreasing order.\nAnswer: 0.12, b, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/(-148))\/((-1)\/2*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85030 is divided by 245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let z be o(1). Suppose 0 = z*u + 197 + 159. Calculate the common denominator of 45\/16 and 2 - 3 - u\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 16. Let g be t(-13). Solve 2*w = 10, 8*v + 20 = g*v - w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 842 divided by 6.\nAnswer: 421\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 345*l**2 - 158*l - 322. What is the remainder when y(-2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*(u**(6\/13)*u)\/u)\/u))\/(u**(1\/3)*u)*u\/u**4*u*u*((u*u\/u**6)\/u)\/u*u assuming u is positive.\nAnswer: u**(-265\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12*c - 91 = 0. Sort c, 5, 32 in descending order.\nAnswer: 32, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*f + 36 = 0, 109*u - 3*f = 107*u - 10 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46*c**2 + 3*c**3 - 3*c - 10 + 41*c**2 - 4*c**3. Let x be d(-5). Solve -2 = 3*t + x*h, h + 3*h = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 77*i**2 - 11844*i + 899510. Give t(75).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2911407ug to milligrams.\nAnswer: 0.0002911407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1058*j - 2018. Let f(n) = -1058*n - 2005. Let x(g) = -2*f(g) + 3*o(g). Differentiate x(i) with respect to i.\nAnswer: -1058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-898)\/5 - 4\/10. Let o = -4 + 3. Is 10 a factor of (-3 - o)*x\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 4 - 4)*(2*z**4 - z**2 + z**2 + (563*z - 563*z - 170*z**3)*(-2 + z + 2)).\nAnswer: -168*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 + 2*l + 18. Calculate k(-6).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*6*1. Let x be -2*-5*d\/(-6). Suppose -x + 3 = y. Sort y, 5, 7 in descending order.\nAnswer: 7, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 6:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 1175*c**7\/42 + 161*c**4\/12 + 203*c - 2. What is the third derivative of l(r) wrt r?\nAnswer: 70500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:12 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**2*v**2 - 3*s**2*v - 25573*s**2 - s*v**2 - s*v + 3*s - 1659*v**2 - 4*v wrt s.\nAnswer: -2*v**2 - 6*v - 51146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7714*i**3*q**3 + 98*i**3*q + 2*q**3 + q - 85781 with respect to i.\nAnswer: 23142*i**2*q**3 + 294*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -88*r**2 - 19804*r - 805. Determine k(-225).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 4*s**2 - 5. Let c be h(5). Suppose -c = -4*j - j. Suppose -3*g - 2*g = -2*r - 9, r + 9 = j*g. Solve -2*m + 3*m = -g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -3*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 2*g**3\/3 + 2*g - 144. Let i(w) = -4*w**3 + 8*w**2 + 2*w + 11. Let x(n) = 4*b(n) - i(n). Calculate x(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58c5 (base 14) to base 13.\nAnswer: 7064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -50. Determine b, given that 1 + 5*b + b**z + 2*b**2 + b**2 - 5*b**4 - 27*b**3 + 22*b**3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77315.51 meters in centimeters?\nAnswer: 7731551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7477270, 7477277, 7477288, 7477303?\nAnswer: 7477322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 378*x**2 + 0*x**4 + 238*x**2 + x + 2*x**4 - 2*x**3 as a*x**3 + v*x**4 + w*x + p + b*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 13950?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11))*-5 - -4*(sqrt(11) + 0).\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000115861636 rounded to 6 dps?\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 14*d - 2. Let s be t(-11). Suppose f - 116 = 6*f - 4*o, -4*f + o = 84. Let p = s + f. Calculate the smallest common multiple of p and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 3}. Give prob of picking 3 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5 + z**2 - 4 + 4. Let v be k(3). What are the prime factors of 0\/((-16)\/4) + 6*v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/193211 or -1?\nAnswer: 6\/193211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 + 183*c + 923. Let g be y(-5). Solve g*u - 2*u - 25 = p, 0 = 4*p + u - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:24 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14 + (-145)\/140\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10389*m**4 - m**3 + 8*m**2 + 41*m - 8.\nAnswer: -249336*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n**2 - 4*n**3 + 10*n**2 + 3*n + 10*n**2 to the form i*n**3 + j*n + k + r*n**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5*j - 18, 2*j + 15 = 5*d + 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1\/5, -134, -2\/21 in descending order.\nAnswer: -2\/21, -1\/5, -4\/7, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/12*52\/15340*177.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -35, 0.04, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/4)\/((-66)\/88)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3292785 and -28\/72075405?\nAnswer: 648678645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 140*f**2 - 154*f + 77. Let u(d) = 11*d**2 - 12*d + 6. Let r(i) = 6*t(i) - 77*u(i). Let k(a) = -105*a + 3. Calculate k(r(b)).\nAnswer: 735*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Let m(j) be the first derivative of 3*j**2\/2 - 6*j - 3. What is the least common multiple of m(6) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 1. Let q be t(1). Which is the smallest value? (a) q (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(0 + -1) - 0. Let j be 2\/p - 5\/(-2). Factor -3 + h**j + 3 - 4*h + 4.\nAnswer: (h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1895*u**2*y - 2*u**2 + 2*u*y - 5*y - 578 with respect to u.\nAnswer: -3790*u*y - 4*u + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 3*s**2 - 3*s + 1. What is m(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*p = -349*p - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/42)\/((-196)\/(-343))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 25*h + 17*h**3 + 10*h - 36*h**2 + 12*h**2 + 11. Let x(s) = 6*s**3 - 8*s**2 + 12*s + 4. Let l be 18\/5 + 2\/5. Let v(p) = l*o(p) - 11*x(p). Factor v(k).\nAnswer: 2*k*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c31a0c (base 13) to base 4\nAnswer: 203300010003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 67. Calculate c(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24821 + -4244333\/171. Let b = 2\/19 + w. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, 13850, 2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -125*b - 842. What is w(-3)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2176 = 2*q - 2189, 2*z + 6*q - 54 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 94397 divided by -5\nAnswer: -94397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*j - 18 = 0, 3*j = -4*x - 3*j - 28. Sort x, -4, -3, 21 in ascending order.\nAnswer: -4, -3, x, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5 - 43. Suppose -y - 3*y + n = 0. Which is the nearest to -1\/2? (a) y (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 7*f + 95. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 15820.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 2. What is the highest common factor of 16 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 0*b - b - 3*b**2 + 2*b**2 + 2. Let c(p) = p**2 - 5*p - 4. Let l be c(5). What is h(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0586186 - -35?\nAnswer: 34.9413814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 5, -0.02, 1\/11, 9 in ascending order.\nAnswer: -0.07, -0.02, 1\/11, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezqsxzx. What is prob of sequence exx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014910940 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((1 - -3) + (-6 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**6\/480 + f**5\/240 - f**2\/2 + 3*f. Let h(o) be the first derivative of g(o). Let h(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11 - 4*l + 19 + l**3 - 2*l**2 - 4. Give b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1) + (0 - 0). Let o be (-96)\/(-14)*42\/4. Suppose -4*d - o = -3*n, -v*n + 88 = 3*d - 5. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 10. Let j be m(-5). Suppose -4*q + d + 3 = j, -4*d - 6 - 6 = 2*q. Let i(p) = p**2 + 2*p + 11. What is the remainder when i(q) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)*(2 - 0). Suppose 8 - a = 2*j. What is the second derivative of j*v**2 + 4*v + 0*v - 3*v + 2*v wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w**(-3\/5))\/(w**(2\/3)*w*w**(-1)*w*w) assuming w is positive.\nAnswer: w**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 2 u when four letters picked without replacement from {k: 1, f: 1, x: 1, b: 1, m: 1, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 + 11*k**3 - 25*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1472 (b) 5 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70529140 and 1672?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*c - 4*l, -129*c - 63*l + 62*l = 2*c + 787 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/42 - 362\/2712 and -83\/12?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227834456 divided by -10952.\nAnswer: 20803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 345053\nAnswer: 345040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + -5)*9\/27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 47*a + 861. Calculate u(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-56)*-24*6\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 - -2330\/11. Let y = 0.2 - -0.3. Let l = y - 1.5. Which is the closest to l? (a) m (b) -4 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 49779261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 22799 = -4*c + 18*x, -5*c = x - 28535. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 5 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + sqrt(171)*-2))*5 - (sqrt(171) - (-3*sqrt(171)*-2 + sqrt(171) + sqrt(171))))\/(-3*-4*(sqrt(729) - sqrt(729)*3)).\nAnswer: -17*sqrt(19)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 440778.7 nanograms?\nAnswer: 440.7787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxfyxuyfuukkyfkfx. What is prob of picking 1 x, 1 u, and 1 k?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014015321977 to seven dps.\nAnswer: 0.0140153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010140188 rounded to seven decimal places?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4309 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z**2 - z + 2. Let m(h) = h**2 + h - 1. Determine -m(s) - r(s).\nAnswer: 12*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4060573 (base 8) to base 12.\nAnswer: -43930b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let p(z) = -z**2 + 5*z - z - 4*z. Give v(p(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 12 = -5*p. Let r be ((-2)\/(-5))\/((-1)\/p). Put -4\/7, 0, r in ascending order.\nAnswer: -4\/7, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799 = 50*z - 7650596 - 123503. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 769 + 69 = 0. Suppose 0 = -9*v + q*v - 21*v. Solve z - 2*z - 1 = v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*v + 580, 6*f - 565 = 2*f + v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n + 115. Let l be d(11). Put l, -2\/9, 1\/43 in ascending order.\nAnswer: -2\/9, 1\/43, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t - 119. Let c be m(-7). Solve c = -3*w - 105 + 120 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**2. Let j(m) = -m**2 - 4*m + 7. Let y be (-14)\/35 - (-46)\/(-10). Let a be j(y). Let x(s) = a*s**2 + 194 - 194. Determine x(h(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**5\/60 - b**3\/6 + b**2 - 2. Let t(z) be the second derivative of l(z). Find the first derivative of t(r) wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589677956?\nAnswer: 2, 7, 23, 130807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 22*u + 99. Let z be n(-5). Let w be -173 + z\/(66\/(-48)). Is -166 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7408.27 - -7317. Let h = 92 + m. Round h to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.87111846 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 4 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*m - 475 - 298*m + 471 + 157*m.\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9879.772 millennia?\nAnswer: 987977.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.8 minus 3.2?\nAnswer: 311.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b417 (base 13) in base 4?\nAnswer: -220323310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24097424 to the power of 1\/2, to the nearest integer?\nAnswer: 4909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200062862.\nAnswer: 2, 41, 2439791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 2, c: 1, w: 6}. Give prob of picking 1 u, 1 b, and 1 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177520.\nAnswer: 2, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*l**2\/13 + 60420*l\/13 - 18252882\/13.\nAnswer: -2*(5*l - 3021)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z - 8. Suppose -3*m = -5*a - 44, -5*a + 5*m = 3*m + 46. Let x = 11 + -3. What is the smallest common multiple of r(a) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -57847*o - 231277. What is h(-4)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 77 = -4*y - 69, -3*q = -2*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*b - 243 = 161 + 31. Put -21, 2, -5, b, 4 in decreasing order.\nAnswer: 4, b, 2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0.7?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -16312 and -48937\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z + 28 = -4*l, -5*z + 5*l = 55. Let d = 989 - z. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by (-54)\/(-36) - 4207\/(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.9, 1402 in descending order.\nAnswer: 1402, 0.9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13395 + 10247171\/765. Is c not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 7:45 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1862) - (sqrt(1862) - (-2*sqrt(1862) + sqrt(1862))))\/(sqrt(98)*-1) - (2*sqrt(475)*3 + -1*(sqrt(475) + 1 - sqrt(475) - sqrt(475))))**2.\nAnswer: -68*sqrt(19) + 21965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 24 = -3*n. Suppose -2*w = -n*w. Let i = 0.3 - 0.5. Which is the nearest to w? (a) 1 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1259095, 1259112, 1259131, 1259152?\n\"Answer: m**2 + 14*m + 1259080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/6, 598, 144\/61?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**2 + 28*p + 27. Give u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2392935 = 2*i, -584529 = -i + 2*r + 611928. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 449*h + 116294. Determine m(-259).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 3. What is i(13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/12 - p**3\/2 - 3*p**2\/2 + 3. Let r(c) be the second derivative of i(c). Differentiate r(x) with respect to x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 2 - 34 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434 (base 5) in base 4?\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 94.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -130, -160, -202?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/4, -3\/4, -87, 4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4806 is divided by 146?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h + 0*h)*(-19 + 19 - 2*h)*(-20 + 2 + 3) - 3*h**2 + 0*h**2 + 4*h**2.\nAnswer: 91*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843 - 792 = -527*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6647240*p**4*x + 25088741*x wrt p.\nAnswer: 26588960*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 22*g**2 + 21*g + 23. Let z be n(-13). Let q = 777 - z. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 419*r + 4839. Determine n(-12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201221221030 + 3?\nAnswer: -201221221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4\/2 + 231*b**3\/2 - 543*b**2\/2 - 198891*b\/2 + 583443 = 0.\nAnswer: -27, 6, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15011313 is divided by 161?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.95 - -0.05. Let l = 13 + a. Let y = l + -26.6. What is the biggest value in y, -4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -884\/7. Let o = 467.7 + -468. What is the nearest to 8 in o, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 16122, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*(((sqrt(684) - sqrt(684)*-1) + 1 - sqrt(684)) + sqrt(684) - -4*(sqrt(684) + 0)))**2 + 5 + 2).\nAnswer: 1152*sqrt(19) + 394007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/s**(1\/12)*s)\/s)))\/(s**31\/s*s*s))\/(s**27*s**1) assuming s is positive.\nAnswer: s**(-709\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 5540*w = 0. Calculate w.\nAnswer: 0, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q - 261 = 344 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-2 + sqrt(153))*-3)**2 - (2 + (sqrt(153)*-1)**2)) + (-4 + (sqrt(153) - -1*sqrt(153)) + -4)**2 + -2.\nAnswer: -204*sqrt(17) + 1929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(11) - 1*sqrt(44)\/sqrt(4))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*(n\/(n\/(n*n**(-2)))*n)\/n)*n*n)**45\/(n**(2\/3)*n*n*n**(-1\/14)))**(-34) assuming n is positive.\nAnswer: n**(-126667\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-130)\/(-52))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -585, -1393, -2525?\nAnswer: -3981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111100111001011101 (base 2) to base 10.\nAnswer: -5754461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101790?\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m**2 - 23*m + 46*m**2 + 27 - 16*m**2. Let k(q) = -12*q**2 + 15*q - 18. Let x(z) = -8*k(z) - 5*r(z). Determine x(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 - 167 = -g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5072 + 2682. Let r = -1686 - o. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.141 + -2.041. Let j = 0.1 + 0. Let t = j - v. Which is bigger: t or 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -314475*f*w - 48*f - 1497*w + 8310 wrt f?\nAnswer: -314475*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 61.6116 times 1\nAnswer: 61.6116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -53830 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + sqrt(1200)*1)\/(-1*sqrt(12)\/sqrt(2) - sqrt(6)).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 671\/3673 or 1?\nAnswer: 671\/3673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7 - 8 - 11 - 905*f**2 + 8 - 115*f**2.\nAnswer: -1020*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 97. Suppose 0 = u*s - 6*s + 276. Let c = 63 - 45. Calculate the remainder when s is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8299 and -8297 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snoa when four letters picked without replacement from oionisanc.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 + 12*y**4 + 9*y**3 - 12*y**2 - 12*y = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b = 216 + 192 + 60 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*u - 19, -622 = -4*t - 2*u - 614 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -19 (b) 11 (c) -8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = -189. Suppose -j = l + 28. What are the prime factors of 1\/(3\/(-1) + (-280)\/l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885 rounded to the nearest 10?\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 4*x**3 - x**2)*((120*x + 112*x + 44 - 235*x)*(0*x + 3*x + 3*x) + (-x - 2*x + 2*x)*(2*x + 0*x - 3*x)).\nAnswer: -68*x**5 + 1056*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 1. Let i be (2 + -2)*-1 + 1. Let p be r(i). Suppose 2*j = -5*n + 1 + 9, -5*n + 3*j = 15. What is the closest to n in -0.04, 1, p?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 x, and 1 i when three letters picked without replacement from qixqqipxxqxqxpxquppx.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.8, -870, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 31 = -3*b - 2*d, -2*b - d - 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzozsewtzzzettt. Give prob of picking 1 o and 1 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013043121 to six decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1132*c - 450. Determine a(1).\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 - ((1 - 5) + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times 0.152\nAnswer: 0.02888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 0 - (30 + 5 + -18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8*r = 10. Let n(y) be the second derivative of -y**5\/20 + y**4\/12 + y**3\/2 - y**2\/2 + 2*y. Let g be n(r). Solve -5*c + g - 16 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18074, 36252, 54430, 72608?\n\"Answer: 18178*q - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-486)\/36)\/(-3)*(-24)\/252\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*y = 145 - 128, -2*o - 2*y = -16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyryzryyxryzgyxyryz. Give prob of picking 1 y, 2 z, and 1 g.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)\/j*j**(2\/41)*(j*((j**13\/j*j*j)\/j)\/j)\/(j**(2\/45)*j*j) assuming j is positive.\nAnswer: j**(127361\/12915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -1\/12 (c) -1\/35 (d) -1.896 (e) 2\/9 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7 = -4*q, 5*c + 1 = 4*q - 2. Suppose -2*o - 2 = -3*w + 9, 11 = -q*w + 5*o. Let i be -3 - 0 - (-105)\/w. Solve 3*y + i = 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/13)\/l**(-1\/9))**(-14) assuming l is positive.\nAnswer: l**(-560\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1353\/205)\/(12\/20). Solve 12*q + b*q = 22*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 6. Let w be r(7). Let a(d) = -2*d**2 - 18*d - 7. Let k be a(w). Let f = -190 - k. Calculate the remainder when f is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2671 + 2668. Sort 5, k, 12, -1, 4 in ascending order.\nAnswer: k, -1, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3798 and 4299758.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 112753, 23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2537+2913\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1678 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.3, 4, -2\/77, 2 in decreasing order.\nAnswer: 11, 4, 2, -2\/77, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1407*y**5 + 20*y**4*z + 3*y**2*z + 33177*z wrt y.\nAnswer: 84420*y**2 + 480*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 4, t: 2}. What is prob of sequence ttff?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348*m**2 - 868*m**3 - 2*m + 336*m**3 + 2*m + 0*m wrt m?\nAnswer: -3192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.74253 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l - 0*l - 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-6)\/4*(-250)\/(-75). Suppose d*y - 1444938 = -y. Let f = -138823 + y. Round f to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45226793, -45226788, -45226781, -45226772, -45226761, -45226748, -45226733?\nAnswer: -45226716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**3*s**3 + 3975*k**3*s**2 - 602*k**3*s + 4*k**2*s**3 + 5*k*s**2 - 46*s**3 + 16 wrt k?\nAnswer: -18*s**3 + 23850*s**2 - 3612*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2178)\/5082*(-7)\/4389*14.\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1730, 1731, 1726, 1709, 1674, 1615, 1526, 1401?\n\"Answer: -v**3 + 3*v**2 - v + 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -1.3. Let c = t + 0.8. Is c at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/5312 and 149\/5976?\nAnswer: 47808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**9\/3024 + x**8\/840 + 23*x**3\/6 - 41*x. Let g(u) be the second derivative of k(u). Let g(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u + 3. Let o be x(-7). Suppose 10 - 1 = o*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)\/(-3) - (-5)\/(-10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 11. Let g be (-12)\/(-5) + 2\/(-5). Let d be u\/(7 + (g - 5)). What is the third biggest value in -1, 3\/2, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 1 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 = 11. Suppose 0 - 24 = c*t. Let z = 27 + t. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-32)\/12)\/(-2). Suppose 3*c = 5*j + 30, -p*c = -j + c - 28. Let n be j + 4206\/(-1 + 3). What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 33710*w**2 + 168600*w.\nAnswer: -2*w*(w - 16860)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 8 + 148. Is u a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/641242 and 95\/208?\nAnswer: 66689168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-222)*(25 - 27).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9614321*i**6 - 6348916*i**2?\nAnswer: -1153718520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 383027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6490)\/22125)\/((-495)\/(-1800))\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -11)\/(-96) + (-500)\/(-1440)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.192 - -0.192. Sort 4, w, -0.1, 3.\nAnswer: w, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 503191424*c**6 + 197*c**2 - 22261*c + 2.\nAnswer: 60382970880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(33)\/(sqrt(99)\/(sqrt(9) - sqrt(9)*-5)))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, n: 3, p: 3, d: 2, w: 1, i: 1}. What is prob of picking 1 e, 1 n, and 1 p?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546\/(-1232) - 220\/(-352) - (-656)\/(-3366).\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 445574119 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 34. Suppose 0 = 3*i + 2*i + d - r, -2*d + 5 = i. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223814*r**3*t**4 - 2*r**3*t + 536*r**2*t**2 + 95 wrt t.\nAnswer: 5371536*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 4 + -17 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {x: 1, l: 1, y: 1, n: 1, z: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(1\/14)))**(-25\/2)\/(r\/(r*r**1))**(1\/56) assuming r is positive.\nAnswer: r**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -665301 < -665301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(1\/7)*f)*f)\/(f**7\/f)*(f*f*f**(-4))\/f*f\/f**(-1)*(f**(-3)*(f\/(f*f**1))\/f*f)\/(f**(1\/2)*f**(-1\/7)\/f) assuming f is positive.\nAnswer: f**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15) + (99\/135)\/(-11).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11159 is divided by 162.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -352, -510, -666, -826, -996, -1182, -1390?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/416)\/((-48)\/104)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 - (4 + (-3)\/3). Let s = m - 5. Suppose p + s*p = 5. Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*r**3 + 2*r + 285*r**3 - 3*r**2 + 1 + 2*r**2 - 141*r**3 + 13*r**4 in the form z + v*r**2 + o*r**3 + f*r**4 + j*r and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71203.74 centuries to months.\nAnswer: 85444488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -0.4, 1\/3, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -76, -171, -356, -661, -1116, -1751, -2596?\n\"Answer: -5*s**3 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 0) + (-232)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - -130 - (0 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6084 = 13*o - 1521. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o - o + 0*o - o - o + (-2 - 5 + 5)*(-2 + 2*o + 2) - 6*o + 0*o + 4*o)*(41*o**3 + 20*o**3 + 26*o**3).\nAnswer: -870*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**9\/60480 - f**8\/13440 + f**6\/1440 + f**5\/480 - f**4\/12 - 2*f**2. Let p(d) be the second derivative of n(d). Factor p(z).\nAnswer: -(z - 1)*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -9*r**5\/10 - 5*r**3\/2 + 2*r. What is the second derivative of i(j) wrt j?\nAnswer: -108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + q)*(4*q**4 - 4*q**4 - 2*q**4)*(-5 + 17 + 2).\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 1948 - 2044 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4970610, -4970620, -4970642, -4970682, -4970746, -4970840?\n\"Answer: -g**3 - 3*g - 4970606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 1:43 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 63*o**2 - 385*o\/2 - 129.\nAnswer: (o - 129)*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 5*u - 2 + 0*u**2 - 5*u**2 - u**2 + u**3. Give t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from lwxullwjjixl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/105 + h**6\/20 - h**4\/3 + 13*h**2\/2 + 3*h. Let r(s) be the first derivative of a(s). Find u, given that r(u) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -103*(1 - 2) - (3 - 6).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1971 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 743 - 531. Let o(w) = t*w**2 - 18*w**2 - 10*w**2 - w. Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*k + 52*k - 9972 = 163*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6972 or -6974?\nAnswer: -6974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8226544, -8226486, -8226426, -8226364?\nAnswer: -8226300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ubbfubbubfbbbnbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4214 and 557767?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/3)\/i*i\/((i\/(i*i**(-1\/4)*i))\/i))**13 assuming i is positive.\nAnswer: i**(637\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*x. Suppose 0 = -x*b - 3 - 1. Is 7 a factor of (b - 2\/4)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46417 - 46417 + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 78587 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = p. Let v = p - 14. Solve v = -2*s, -2*s = l + 2 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 400118*w\/3 - 2000540\/3.\nAnswer: -2*(w + 5)*(w + 200054)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2\/25)*h))\/(((h*h**0)\/h)\/h))\/((h\/(h*h**7*h))\/h**(-9)) assuming h is positive.\nAnswer: h**(-23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 - ((-3 - 5) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 equal to -265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 5\/8, -5, -16 in decreasing order.\nAnswer: 5, 5\/8, 0.1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Let m = 0.77 - 0.8. Let x = m + 0.03. Which is the closest to 0? (a) x (b) t (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2.4 (b) -8 (c) 5 (d) 7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3079*u + 12 = 3076*u + 4*h, -5*u = 4*h + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q - 12. Let i(s) = -s + 2. Let t(r) = -6*i(r) - n(r). Let y(w) = 4*w**2. Determine t(y(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.897 - -52. Let w = -0.003 + o. Let y be 2\/10 + (-3)\/(-35). Is w smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 + 188. Suppose -2*f = 2*f. Suppose f*h - 4 = -h. Calculate the highest common divisor of h and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1159 and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5620515980 to the power of 1\/2, to the nearest integer?\nAnswer: 74970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h - 14 = 0. Let k(x) = -1605*x**2 + 3*x - 18. Let g(s) = s**2 - s + 1. Let c(t) = 12*g(t) + k(t). Let f be c(h). Round f to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**6\/120 + w**5\/120 + w**4\/24 + w**3\/3 - 2. Let f(x) be the third derivative of b(x). Is f(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060264 rounded to six dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 20*g**2 + 47*g - 64. Let v be a(22). What is u in -668*u**v + 896*u - 116*u**4 + 476*u**5 + 784 - 375*u**3 - 480*u**5 - 517*u**3 = 0?\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24140596?\nAnswer: 2, 359, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2231 - 105331?\nAnswer: -103100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -8. Let g = 1.34 - 1.24. Which is the biggest value? (a) g (b) y (c) 1\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39770374\/(-28)*-54 + 7\/(-1). Round b to the nearest 1000000.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 571830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-2)*24\/(-28). Solve d - 1 + s = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 24014 and 24014 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1. Let y(x) = -x - 62. Determine 2*k(b) - y(b).\nAnswer: b + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 83 = 9*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -0.50728.\nAnswer: -6.59464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 56 (b) -43451 (c) 1\/3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6064, -12144, -18236, -24346, -30480, -36644?\nAnswer: -42844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*h - 4*g, -4*h - 3*g + 19 = -2*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6846 and 368.\nAnswer: 1259664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -37) + 7 - (-6 - -17)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(1\/4)*f)\/f))\/f)**19\/(f\/((f*f\/f**1)\/f)*f**(-6\/11)\/f) assuming f is positive.\nAnswer: f**(-1021\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73299502153 and -2?\nAnswer: 73299502155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304))**2*4 + -5.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -74, 5, -1.\nAnswer: -74, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 207*y - 3. Let u(n) = 5*n + 1. What is i(o) + 4*u(o)?\nAnswer: 227*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248875959, -248875956, -248875953, -248875950?\nAnswer: -248875947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3927852?\nAnswer: 3927852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1891 - 0?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5 + 5*g**2 - 4*g + 28*g**3 - 35*g**3 - 6 + 0. Let a(t) = t**3 - t**2 + t + 2. Let u(l) = 6*a(l) + d(l). Calculate u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35621*l**2 - 1 + 5*l**5 + 0*l**5 - 2*l + 35628*l**2 + 25*l**6 + 1 wrt l?\nAnswer: 3000*l**3 + 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 18583 = 2*f + 86, 5*t = 4*f + 18521. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1 - (2 - 2)). Calculate the common denominator of j - (-3)\/(33\/20) and (-118)\/6 - 1\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 644 + -12?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4840943 is divided by 222?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12138 + 48764 = -504*c + 2150*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 26. What is the remainder when 17 + (2 - 0\/(-1)) is divided by p(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -11\/8 (c) -114 (d) 34 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**7\/21 - 28*f**6\/15 + 26*f**5\/5 + f**4\/3 - 53*f**3\/3 + 26*f**2 + 90*f. Let j(h) = 0. What is h?\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*d - 64, -2*d = -8*m + 11*m - 58. Suppose 0 = -5*t + 5, -2*t - 16 = -5*w + 2*t. What is the least common multiple of w and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*3\/6 - -3. Suppose -4*j - 15 = -a*v, 6*v - 20 = 2*v + 4*j. Solve -v*l + 25 = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200102 + 12101211010?\nAnswer: 12102111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2154)\/(-54) - 4\/18. Let p = a - 39. Let k = 0.1 - 2.1. What is the nearest to p in 2\/13, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1)*4 + (5*sqrt(104))\/sqrt(8).\nAnswer: -4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/36730200 and -47\/1904?\nAnswer: 514222800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5869877, 11739746, 17609615, 23479484, 29349353, 35219222?\n\"Answer: 5869869*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9503 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 1, -85, -263, -563, -1015, -1649, -2495?\n\"Answer: -5*g**3 - g**2 + 14*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.45835 millennia in months?\nAnswer: 89500.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9482269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340.0259 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2193, -4412, -6645, -8898, -11177, -13488?\n\"Answer: -b**3 - b**2 - 2209*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 353 = -a, -2*f + 5*a = a - 180. Let i = 20 - 17. Suppose i*l - 7*l = -f. What is the smallest common multiple of 16 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 6. Let w be z(6). Suppose w = c - 1 - 2. Suppose -3*q**3 - 2*q**4 + 0*q**4 + q**c = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.97952 years?\nAnswer: 0.497952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.3 and -249.1?\nAnswer: 4558.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((680\/(-544))\/(2\/40) - 6) + (1 - 4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/89, 61, -7 in increasing order.\nAnswer: -7, 2\/89, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 = f. Suppose -6*m + 5 = -2*m - c, c = -f. Let q be -3 + 1 - -1*5. Solve -4*b - 5*g + 30 = m, g = -b + 2*g + q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7742 - -210?\nAnswer: -7532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4701606 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/6)\/(2*2794\/(-6732)) and 17\/2.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 59\/(36108\/720)) + -19.\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1674, 1673, 1672?\n\"Answer: -y + 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 2\/15, 1, 213, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 232362*m + 3717699. Calculate z(-16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-23)\/115 + (-8)\/10). Sort -5, -2, 1, q.\nAnswer: -5, q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 11, 3 in decreasing order.\nAnswer: 11, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u. Suppose 3*j - 51 = -2*w, -2*w + u*j = -2*j - 46. Suppose 4*r + 8 - w = 0. Calculate the remainder when 7 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/3)*c*c))**36\/(c*c\/(c**(-1)*c*c))**(-2\/23) assuming c is positive.\nAnswer: c**(-550\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -12. Let w = -2 - k. Let z be (2\/(-10) + 0)*w. Is 2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 7 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15928 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2037142088 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 + m**2 - 5*m - 1. Let b(c) = 9*c**3 - c**2 + 10*c + 3. Let s(t) = -3*b(t) - 7*r(t). Factor s(w).\nAnswer: (w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14103163209*y + 14103163209*y - 10*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308799156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 + t**2 - t + 2. Let g(u) = u**3 + 6*u**2 + 6*u - 5. Let j be g(-5). Let h be 3*(1 + j\/6). Does 11 divide o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 119. Calculate the remainder when -12*((-5)\/4 - 0) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d - 1. Let b be j(1). Let l(f) = b*f - 4*f - f. Let q(h) = -4*h + 2*h + 0*h + 3*h. Calculate l(q(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - 1) - 2 - (-335 - -336).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s - 5*g + 1315 = 0, -g = -3*s + 1947. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 51*x + 101. Let d be o(-2). Solve -4*c + 16 = -3*p, -p + 7 - d = -c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (22 + -18 - -30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/3 - 2848*c**2\/3 - 58966*c\/3 - 56120\/3 = 0. What is c?\nAnswer: -1403, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -2.8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 17 = 3*f - q - 12, 28*f + 2*q = -8 - 46 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 + 2 = 0. Let c be ((-3)\/54)\/(2\/t). What is the closest to c in -5, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/17 + 9\/(1377\/134046)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**7\/70 + 4*f**6\/75 + 3*f**5\/50 - f**3\/30 - 3*f. Factor w(a).\nAnswer: a*(a + 1)**3*(3*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.06 + 36.06. What is the biggest value in 63, 2, q, 4?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4808423*f - 5544561 wrt f?\nAnswer: 4808423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33924 or 67847\/2?\nAnswer: 33924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejffnfkfkk. Give prob of picking 1 n and 3 k.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and -684879?\nAnswer: 58899594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5626 or -5624?\nAnswer: -5624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3\/5 (c) -42\/43 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4818667 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 427, 1443, 3429, 6709, 11607?\n\"Answer: 54*p**3 - p**2 - 5*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161718?\nAnswer: 2, 3, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from xjnyyxnjyxox?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -282 (b) -15 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 19529\/766 + 2\/383. What is the common denominator of -11\/4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + m = 3*d - 2, 0 = 4*m + 8. Suppose d = -4*c + 12, 0*p + p - 26 = 3*c. Let y = 57 - p. Calculate the least common multiple of 2 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 254468665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a + 10. Let v be a\/4*4\/7. Does -3 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (6 - (-6 - (5 - 6))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 30 - 8 = -3*n, -n = -c - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18776.412 nanoseconds to hours.\nAnswer: 0.00000000521567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -23*m**4\/24 - 17*m**2. Let b(w) = -w. Determine z(b(n)).\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((1\/21)\/(3\/1053))*-3\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874, 1747, 2620, 3493, 4366, 5239?\nAnswer: 6112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 13467*g**3 - 189126*g**2.\nAnswer: 3*g**2*(g - 14)*(g + 4503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2679.294 millilitres?\nAnswer: 2.679294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:05 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -6*z**4\/5 + 142*z**3 - 212*z**2\/5 - 568*z + 944\/5 = 0.\nAnswer: -2, 1\/3, 2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**3 + n**2 - 2*n - 2. Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -28*k - 1 - 1 + 24*k - 2*k**2 + 15*k. Let z be s(5). Sort -2, -1, z in increasing order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/4)\/h*h**(1\/5))**22\/(h**3*h\/(h**0\/h))**48 assuming h is positive.\nAnswer: h**(-3181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3656 and -191.2?\nAnswer: -699027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 4\/2*-1. Calculate the common denominator of (23000\/(-207))\/25 - (2 + -4) and -2*(i - 78\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 738\/7, 2\/3, -4, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7400.887 years to millennia.\nAnswer: 7.400887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Let q(r) = -22*r - 26 + r**3 + 16 - 13*r**2 - 2*r**3 + 11. Let h be q(-11). Sort h, -2, j in ascending order.\nAnswer: -2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91223.5 less than 242?\nAnswer: 91465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.1 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324227272?\nAnswer: 2, 165528409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000010010 (base 2) in base 15?\nAnswer: -db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = 5. Let j be (-14)\/(-18) + 6\/27. Let u = j + 3. Which is the smallest value? (a) u (b) z (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -203. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + -5*(4 + sqrt(432)*2 - (-4 + sqrt(432) + -5)))**2.\nAnswer: 7800*sqrt(3) + 15028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18 + 0 + 19)*10\/(-7). Which is the closest to -2\/7? (a) -4 (b) 36 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/24 + 82\/8. Let n(i) = i**2 - 11*i + 14. Let g be n(l). Let q be 26\/91 + (-74)\/g. Which is the nearest to -2\/7? (a) 3 (b) -3\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 565 + 3874?\nAnswer: 3dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63340 - 3805 = -1701*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y + 61. Let z(g) = g - 1. What is v(b) + 3*z(b)?\nAnswer: -2*b + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50708582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0. Let s = -0.3 - -0.6. Sort b, 1, s in decreasing order.\nAnswer: 1, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 33*q + 115. Let v be i(35). Calculate the greatest common factor of 18 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 109*l**2 - 99*l - 627. Calculate the remainder when g(108) is divided by 330.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11619868*n**4 + 7148*n**2 - 9632?\nAnswer: -278876832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -28, -37, -48, -61, -76?\n\"Answer: -n**2 - 4*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4304 + 4392. What is the greatest common factor of 1188 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}